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SAReasoning-4000000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
Simplify: -5x + 8x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	3x + 7y
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
Simplify: 4x + -2x + 5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x + 5y
Solve for x: -6(x + -1) = -42	Solve a two-step equation.	Divide both sides by a, then subtract b.	8
Solve: \|3x + 18\| ≤ 1	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-6 ≤ x ≤ -6
Solve for x: 1x + 6 = -13	Solve the linear equation.	Subtract b from both sides, then divide by a.	-19
Solve for x: -7(x + -14) = 77	Solve a two-step equation.	Divide both sides by a, then subtract b.	3
Solve: 3x + 14 ≤ 23	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 3
Solve: \|-7x + 12\| ≤ 5	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 2
Solve: \|-5x + 4\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
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: 5x + 3 ≤ 8	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 1
Solve for x: 7x + 8 = -62	Solve the linear equation.	Subtract b from both sides, then divide by a.	-10
Solve for x: 2x + -14 = -42	Solve the linear equation.	Subtract b from both sides, then divide by a.	-14
Solve: -1x + 9 ≥ 3	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 6
What is 146% of 50?	Compute the percent value (integer-safe).	Compute 146/100 × 50.	73
What is 91% of 1000?	Compute the percent value (integer-safe).	Compute 91/100 × 1000.	910
Solve: \|-7x + -8\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ -1
Solve: 9x + -13 ≥ -22	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -1
Solve: -9x + -17 > -26	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 1
Solve: \|-3x + -13\| = 4	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-3
Solve for x: -5x + -11 = -81	Solve the linear equation.	Subtract b from both sides, then divide by a.	14
If each item costs 18 dollars and the total cost is 90, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	5
What is 128% of 150?	Compute the percent value (integer-safe).	Compute 128/100 × 150.	192
What is -35% of 160?	Compute the percent value (integer-safe).	Compute -35/100 × 160.	-56
Solve for x: -8x + 2 = -14	Solve the linear equation.	Subtract b from both sides, then divide by a.	2
If each item costs 0 dollars and the total cost is 0, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-17
Simplify: -8x + 3x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-5x - 4y
If each item costs 16 dollars and the total cost is 96, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	6
Simplify: -5x + 1x + -7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4x - 7y
Solve for x: -7x + 4 = -10	Solve the linear equation.	Subtract b from both sides, then divide by a.	2
If each item costs -4 dollars and the total cost is -12, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	3
Solve for x: -7(x + 5) = -119	Solve a two-step equation.	Divide both sides by a, then subtract b.	12
Solve: \|2x + 13\| ≤ 10	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-11 ≤ x ≤ -2
If each item costs 2 dollars and the total cost is 36, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	18
Solve: \|-2x + -13\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-15, 2
What is 4% of 50?	Compute the percent value (integer-safe).	Compute 4/100 × 50.	2
Solve: -5x + -16 > 29	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -9
Solve: \|-8x + -6\| = 8	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 8x + -13 > -157	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -18
Solve for x: -1(x + -3) = -8	Solve a two-step equation.	Divide both sides by a, then subtract b.	11
Solve: -3x + -17 > -74	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 19
What is 34% of 0?	Compute the percent value (integer-safe).	Compute 34/100 × 0.	0
Solve for x: 3(x + 14) = 6	Solve a two-step equation.	Divide both sides by a, then subtract b.	-12
Simplify: 8x + 4x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	12x + 1y
Solve: \|-4x + -15\| ≤ 15	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-7 ≤ x ≤ 0
Simplify: 7x + -1x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	6x - 6y
Simplify: 2x + 1x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	3x - 5y
If each item costs -7 dollars and the total cost is 133, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-19
Solve: \|2x + 9\| ≤ 10	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-9 ≤ x ≤ 0
Solve for x: -5(x + 14) = -30	Solve a two-step equation.	Divide both sides by a, then subtract b.	-8
Simplify: 6x + -6x + -3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3y
Solve: \|5x + -18\| ≤ 10	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 5
Solve for x: -7(x + 12) = -119	Solve a two-step equation.	Divide both sides by a, then subtract b.	5
Solve for x: 1(x + -8) = -3	Solve a two-step equation.	Divide both sides by a, then subtract b.	5
Solve: \|2x + 2\| = 19	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: -1x + 3 ≥ -7	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 10
If each item costs 6 dollars and the total cost is -66, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-11
Solve: \|8x + -10\| = 8	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: -2x + 13 < 17	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -2
What is 2% of 500?	Compute the percent value (integer-safe).	Compute 2/100 × 500.	10
Solve: \|3x + -11\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|8x + -18\| ≤ 8	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 3
If each item costs 4 dollars and the total cost is -20, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-5
What is 28% of 250?	Compute the percent value (integer-safe).	Compute 28/100 × 250.	70
Solve: \|6x + 17\| ≤ 4	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ -3
Solve for x: 8x + -13 = -21	Solve the linear equation.	Subtract b from both sides, then divide by a.	-1
Solve: \|-8x + 6\| = 9	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-1x + 15\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	9 ≤ x ≤ 21
Solve: \|-5x + -10\| ≤ 11	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ 0
Solve: -10x + 14 ≥ -156	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 17
What is -30% of 30?	Compute the percent value (integer-safe).	Compute -30/100 × 30.	-9
Simplify: -8x + 2x + 4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-6x + 4y
Simplify: 6x + -8x + 0y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x
Solve for x: 1(x + -15) = 0	Solve a two-step equation.	Divide both sides by a, then subtract b.	15
Solve: -5x + 13 ≥ -82	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 19
Solve for x: -5(x + 3) = 40	Solve a two-step equation.	Divide both sides by a, then subtract b.	-11
Solve for x: -2x + 24 = 44	Solve the linear equation.	Subtract b from both sides, then divide by a.	-10
Solve for x: 4x + -28 = -68	Solve the linear equation.	Subtract b from both sides, then divide by a.	-10
Solve for x: -7(x + 4) = -21	Solve a two-step equation.	Divide both sides by a, then subtract b.	-1
Solve: \|1x + 4\| = 9	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	5, -13
Solve for x: -6(x + 11) = -132	Solve a two-step equation.	Divide both sides by a, then subtract b.	11
What is 130% of 100?	Compute the percent value (integer-safe).	Compute 130/100 × 100.	130
If each item costs 14 dollars and the total cost is -126, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-9
Solve: \|-7x + -13\| ≤ 14	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 0
Solve for x: -6(x + -13) = 0	Solve a two-step equation.	Divide both sides by a, then subtract b.	13
Solve: \|-8x + -9\| = 6	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: 2x + -1x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x + 6y
Solve: \|-1x + 13\| ≤ 0	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	13 ≤ x ≤ 13
Solve for x: -7(x + -14) = 42	Solve a two-step equation.	Divide both sides by a, then subtract b.	8
Solve for x: 5x + -13 = 42	Solve the linear equation.	Subtract b from both sides, then divide by a.	11
Solve: 7x + 6 < 55	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 7
Solve: \|6x + 1\| ≤ 16	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 2
If each item costs -3 dollars and the total cost is 12, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-4
Solve: \|1x + 15\| = 3	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-12, -18
Solve for x: -4(x + -4) = 56	Solve a two-step equation.	Divide both sides by a, then subtract b.	-10
Solve: \|6x + 12\| = 19	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: 4(x + -2) = -56	Solve a two-step equation.	Divide both sides by a, then subtract b.	-12
Solve: 1x + 3 ≥ -10	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -13
Solve for x: -1(x + 1) = -3	Solve a two-step equation.	Divide both sides by a, then subtract b.	2