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SAReasoning-3000000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
Solve: \|6x + -13\| = 2	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: -2x + 21 = 31	Solve the linear equation.	Subtract b from both sides, then divide by a.	-5
Solve: \|6x + 3\| ≤ 9	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 1
Simplify: -8x + 1x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-7x + 1y
If each item costs 8 dollars and the total cost is -136, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-17
Solve for x: 2x + 29 = 47	Solve the linear equation.	Subtract b from both sides, then divide by a.	9
Solve: 10x + 9 > -51	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -6
What is 87% of 0?	Compute the percent value (integer-safe).	Compute 87/100 × 0.	0
If each item costs 8 dollars and the total cost is 232, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	29
Solve for x: 3x + 26 = 44	Solve the linear equation.	Subtract b from both sides, then divide by a.	6
Solve: \|-1x + -5\| ≤ 3	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-8 ≤ x ≤ -2
Simplify: -8x + 1x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-7x + 6y
Solve for x: -2x + -26 = -34	Solve the linear equation.	Subtract b from both sides, then divide by a.	4
Simplify: -3x + 5x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x + 7y
Solve for x: 5(x + -5) = -80	Solve a two-step equation.	Divide both sides by a, then subtract b.	-11
Solve: \|-8x + -8\| = 20	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: 7x + 10 = -109	Solve the linear equation.	Subtract b from both sides, then divide by a.	-17
Solve for x: -9x + 30 = -42	Solve the linear equation.	Subtract b from both sides, then divide by a.	8
Solve: \|1x + 4\| = 6	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	2, -10
If each item costs -1 dollars and the total cost is -4, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	4
Solve for x: -8(x + -9) = 40	Solve a two-step equation.	Divide both sides by a, then subtract b.	4
Solve: -4x + -13 ≤ -73	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 15
Solve for x: 2x + 14 = -18	Solve the linear equation.	Subtract b from both sides, then divide by a.	-16
What is 25% of 32?	Compute the percent value (integer-safe).	Compute 25/100 × 32.	8
Solve: \|1x + 13\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	5, -31
What is 23% of 900?	Compute the percent value (integer-safe).	Compute 23/100 × 900.	207
Solve: \|-2x + -13\| = 8	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
If each item costs 2 dollars and the total cost is 40, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	20
Solve: -5x + 10 ≥ 20	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -2
Solve for x: -11x + -28 = -28	Solve the linear equation.	Subtract b from both sides, then divide by a.	0
Solve: \|5x + 2\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
If each item costs 17 dollars and the total cost is 102, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	6
What is -5% of 40?	Compute the percent value (integer-safe).	Compute -5/100 × 40.	-2
Solve: -10x + 17 ≤ -73	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 9
Solve for x: -9x + 12 = -24	Solve the linear equation.	Subtract b from both sides, then divide by a.	4
What is 81% of 300?	Compute the percent value (integer-safe).	Compute 81/100 × 300.	243
What is 18% of 500?	Compute the percent value (integer-safe).	Compute 18/100 × 500.	90
Simplify: 0x + -5x + 5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-5x + 5y
If each item costs 12 dollars and the total cost is -36, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-3
Solve: \|2x + 13\| ≤ 16	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-14 ≤ x ≤ 1
Solve for x: -2x + -23 = 7	Solve the linear equation.	Subtract b from both sides, then divide by a.	-15
If each item costs -4 dollars and the total cost is 56, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-14
Solve for x: -4(x + -11) = 0	Solve a two-step equation.	Divide both sides by a, then subtract b.	11
Solve: \|1x + 10\| = 20	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	10, -30
Solve: 6x + 16 ≤ 130	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 19
What is 48% of 100?	Compute the percent value (integer-safe).	Compute 48/100 × 100.	48
Simplify: 2x + -5x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3x + 8y
Solve: \|-8x + -3\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
If each item costs 3 dollars and the total cost is 51, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	17
If each item costs -2 dollars and the total cost is -34, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	17
Solve for x: -8(x + -6) = 96	Solve a two-step equation.	Divide both sides by a, then subtract b.	-6
Solve: -10x + 17 ≥ -103	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 12
If each item costs 12 dollars and the total cost is -36, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-3
Solve for x: 5x + -16 = -61	Solve the linear equation.	Subtract b from both sides, then divide by a.	-9
Solve: \|7x + -8\| ≤ 19	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 3
Solve: \|-5x + -13\| = 3	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-2
Solve for x: -5(x + -2) = 10	Solve a two-step equation.	Divide both sides by a, then subtract b.	0
If each item costs 7 dollars and the total cost is -119, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-17
Solve: \|6x + 6\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-1
If each item costs 17 dollars and the total cost is 34, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	2
Solve for x: -6(x + 12) = -114	Solve a two-step equation.	Divide both sides by a, then subtract b.	7
What is -1% of 300?	Compute the percent value (integer-safe).	Compute -1/100 × 300.	-3
Solve for x: 2(x + -3) = 2	Solve a two-step equation.	Divide both sides by a, then subtract b.	4
Solve for x: 1(x + -2) = 10	Solve a two-step equation.	Divide both sides by a, then subtract b.	12
Solve: 8x + -20 ≤ -108	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -11
Solve: \|-7x + 14\| = 5	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
What is 24% of 75?	Compute the percent value (integer-safe).	Compute 24/100 × 75.	18
Solve for x: 8x + -20 = -36	Solve the linear equation.	Subtract b from both sides, then divide by a.	-2
Solve for x: -1x + 6 = 13	Solve the linear equation.	Subtract b from both sides, then divide by a.	-7
Solve: \|5x + -15\| = 11	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|5x + -8\| = 6	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: -1x + 24 = 34	Solve the linear equation.	Subtract b from both sides, then divide by a.	-10
Simplify: -4x + -3x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-7x - 8y
Simplify: -2x + 8x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	6x - 5y
Solve: 4x + -15 ≤ -39	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -6
Solve for x: -7(x + -13) = 35	Solve a two-step equation.	Divide both sides by a, then subtract b.	8
What is -28% of 75?	Compute the percent value (integer-safe).	Compute -28/100 × 75.	-21
Simplify: -6x + 3x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3x + 7y
If each item costs -5 dollars and the total cost is 75, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-15
Solve: \|-2x + -2\| ≤ 14	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-8 ≤ x ≤ 6
Solve: \|1x + -7\| ≤ 1	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	6 ≤ x ≤ 8
Solve: \|7x + -1\| = 19	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 6x + -3 ≤ -21	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -3
Solve: 2x + 14 ≤ 18	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 2
Solve for x: -5(x + 12) = -80	Solve a two-step equation.	Divide both sides by a, then subtract b.	4
Simplify: -7x + -6x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-13x - 5y
Solve: \|2x + 8\| ≤ 19	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-13 ≤ x ≤ 5
Solve: \|7x + 10\| ≤ 4	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ -1
Solve: \|-5x + 6\| = 6	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	0
Simplify: 7x + 6x + -1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	13x - 1y
Solve for x: 3(x + -14) = -45	Solve a two-step equation.	Divide both sides by a, then subtract b.	-1
Solve: \|6x + 14\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: 2x + -2x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-6y
If each item costs 6 dollars and the total cost is 24, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	4
Solve: \|-5x + -8\| ≤ 12	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ 0
Solve for x: 10x + 11 = 211	Solve the linear equation.	Subtract b from both sides, then divide by a.	20
Simplify: -5x + 5x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	6y
Solve for x: 2x + 24 = -10	Solve the linear equation.	Subtract b from both sides, then divide by a.	-17
Solve: \|-7x + -20\| ≤ 16	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-5 ≤ x ≤ -1
Simplify: -1x + 3x + 2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x + 2y