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SAReasoning-300000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
Solve for x: 11x + -26 = 139	Solve the linear equation.	Subtract b from both sides, then divide by a.	15
Simplify: -7x + -7x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-14x - 6y
What is 64% of 150?	Compute the percent value (integer-safe).	Compute 64/100 × 150.	96
If each item costs 4 dollars and the total cost is 96, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	24
If each item costs 7 dollars and the total cost is 35, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	5
Solve for x: -5(x + -13) = 120	Solve a two-step equation.	Divide both sides by a, then subtract b.	-11
Solve for x: 5x + -3 = -23	Solve the linear equation.	Subtract b from both sides, then divide by a.	-4
Simplify: 7x + -7x + -3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3y
Solve: -3x + -8 ≥ -59	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 17
If each item costs 10 dollars and the total cost is 120, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	12
What is 54% of 0?	Compute the percent value (integer-safe).	Compute 54/100 × 0.	0
Simplify: 3x + 6x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	9x - 5y
What is -38% of 50?	Compute the percent value (integer-safe).	Compute -38/100 × 50.	-19
If each item costs -9 dollars and the total cost is 54, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-6
Solve for x: -1(x + -3) = -9	Solve a two-step equation.	Divide both sides by a, then subtract b.	12
Simplify: 1x + -2x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-1x + 7y
If each item costs 16 dollars and the total cost is 192, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	12
Solve: \|-6x + 12\| = 1	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 4x + -19 ≥ -67	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -12
What is 121% of 900?	Compute the percent value (integer-safe).	Compute 121/100 × 900.	1089
Solve for x: 8(x + 1) = 48	Solve a two-step equation.	Divide both sides by a, then subtract b.	5
Solve: 6x + 6 < -66	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -12
If each item costs -8 dollars and the total cost is 160, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-20
Solve for x: 10x + -6 = 64	Solve the linear equation.	Subtract b from both sides, then divide by a.	7
Solve: \|2x + 8\| = 11	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
What is 14% of 100?	Compute the percent value (integer-safe).	Compute 14/100 × 100.	14
Solve for x: -5x + -28 = -78	Solve the linear equation.	Subtract b from both sides, then divide by a.	10
Solve for x: -5(x + -13) = 45	Solve a two-step equation.	Divide both sides by a, then subtract b.	4
Solve: 5x + -16 ≤ -16	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 0
If each item costs -8 dollars and the total cost is -80, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	10
Solve: \|8x + -7\| = 11	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: -4x + -6x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-10x - 5y
If each item costs -7 dollars and the total cost is 56, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-8
Solve for x: -2x + -30 = -64	Solve the linear equation.	Subtract b from both sides, then divide by a.	17
Solve: \|-6x + -16\| ≤ 14	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-5 ≤ x ≤ -1
Solve: \|3x + 7\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-8
Simplify: -8x + 3x + -7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-5x - 7y
Solve for x: 12x + -4 = -220	Solve the linear equation.	Subtract b from both sides, then divide by a.	-18
Solve for x: 1(x + 12) = 11	Solve a two-step equation.	Divide both sides by a, then subtract b.	-1
Solve: -4x + -7 ≥ -3	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -1
What is 115% of 0?	Compute the percent value (integer-safe).	Compute 115/100 × 0.	0
What is -1% of 700?	Compute the percent value (integer-safe).	Compute -1/100 × 700.	-7
If each item costs 16 dollars and the total cost is 480, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	30
Solve for x: 9x + 21 = 147	Solve the linear equation.	Subtract b from both sides, then divide by a.	14
Solve for x: -1(x + -14) = 23	Solve a two-step equation.	Divide both sides by a, then subtract b.	-9
Solve for x: -8(x + 8) = -88	Solve a two-step equation.	Divide both sides by a, then subtract b.	3
Solve: \|-4x + -11\| ≤ 20	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-7 ≤ x ≤ 2
Solve for x: 5x + -9 = 91	Solve the linear equation.	Subtract b from both sides, then divide by a.	20
If each item costs 1 dollars and the total cost is 3, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	3
Solve: \|-2x + 12\| ≤ 12	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 12
Solve: \|-2x + -5\| = 3	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-4, -1
Solve: \|-8x + -1\| ≤ 13	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 1
Solve: \|-1x + -9\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-27, 9
Solve: \|-8x + -2\| ≤ 11	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 1
What is 82% of 250?	Compute the percent value (integer-safe).	Compute 82/100 × 250.	205
Solve for x: 5x + 19 = -66	Solve the linear equation.	Subtract b from both sides, then divide by a.	-17
Solve: \|-8x + 12\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 3
Solve for x: 5x + -12 = -27	Solve the linear equation.	Subtract b from both sides, then divide by a.	-3
What is 35% of 140?	Compute the percent value (integer-safe).	Compute 35/100 × 140.	49
Solve for x: -6(x + -12) = 102	Solve a two-step equation.	Divide both sides by a, then subtract b.	-5
If each item costs 1 dollars and the total cost is 16, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	16
What is 56% of 250?	Compute the percent value (integer-safe).	Compute 56/100 × 250.	140
Solve for x: 10x + 2 = -158	Solve the linear equation.	Subtract b from both sides, then divide by a.	-16
Solve for x: -3(x + 7) = -3	Solve a two-step equation.	Divide both sides by a, then subtract b.	-6
Solve for x: 8(x + -8) = -48	Solve a two-step equation.	Divide both sides by a, then subtract b.	2
If each item costs 18 dollars and the total cost is -54, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-3
Simplify: -1x + 7x + 5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	6x + 5y
Solve: \|-6x + 6\| = 14	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 3x + 18 ≥ 0	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -6
Solve for x: 12x + -21 = 51	Solve the linear equation.	Subtract b from both sides, then divide by a.	6
Solve: \|8x + 20\| ≤ 3	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	no integer solutions
What is 138% of 50?	Compute the percent value (integer-safe).	Compute 138/100 × 50.	69
What is -7% of 800?	Compute the percent value (integer-safe).	Compute -7/100 × 800.	-56
Simplify: 7x + -5x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x - 4y
Solve: 7x + -16 ≤ 19	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 5
If each item costs 20 dollars and the total cost is -280, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-14
What is 65% of 120?	Compute the percent value (integer-safe).	Compute 65/100 × 120.	78
Solve: -9x + 0 ≥ -72	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 8
If each item costs -3 dollars and the total cost is 24, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-8
Simplify: -3x + 7x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	4x + 1y
If each item costs 2 dollars and the total cost is -14, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-7
Solve: \|-8x + -5\| ≤ 19	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 1
If each item costs 19 dollars and the total cost is -133, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-7
Solve: \|8x + -7\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 3
What is 27% of 500?	Compute the percent value (integer-safe).	Compute 27/100 × 500.	135
Solve: -5x + 13 < -37	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 10
Solve: -8x + 13 < 101	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -11
Solve: -5x + 7 > 97	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -18
Solve for x: -4x + -25 = 55	Solve the linear equation.	Subtract b from both sides, then divide by a.	-20
Solve: -9x + 17 < -82	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 11
Solve for x: -9x + 24 = -39	Solve the linear equation.	Subtract b from both sides, then divide by a.	7
Solve: -5x + 4 ≤ -96	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 20
Solve: \|5x + 3\| ≤ 1	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	no integer solutions
Solve for x: -7x + 15 = 22	Solve the linear equation.	Subtract b from both sides, then divide by a.	-1
Solve: \|1x + -7\| ≤ 17	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-10 ≤ x ≤ 24
Solve: \|-4x + -15\| ≤ 17	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-8 ≤ x ≤ 0
Simplify: 0x + 0x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1y
Solve: \|-1x + -14\| ≤ 17	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-31 ≤ x ≤ 3
What is 92% of 100?	Compute the percent value (integer-safe).	Compute 92/100 × 100.	92
What is 61% of 800?	Compute the percent value (integer-safe).	Compute 61/100 × 800.	488