question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
Solve: 3x + -16 ≥ -10
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 2
What is 193 + 187?
Add the two numbers.
Add 193 and 187.
380
Simplify -18/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-6
If each item costs -6 dollars and the total cost is -12, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
2
Solve: -6x + 15 > 111
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -16
Solve for x: 8x + -23 = 49
Solve the linear equation.
Subtract b from both sides, then divide by a.
9
Solve: -6x + 7 < -107
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 19
Solve for x: -2x + -28 = 12
Solve the linear equation.
Subtract b from both sides, then divide by a.
-20
What is 405 ÷ 27?
Divide evenly.
Divide 405 by 27.
15
Solve for x: -8(x + -15) = 240
Solve a two-step equation.
Divide both sides by a, then subtract b.
-15
What is -500 ÷ -25?
Divide evenly.
Divide -500 by -25.
20
What is -21 + -222?
Add the two numbers.
Add -21 and -222.
-243
What is 129 - 235?
Subtract the second number from the first.
Subtract 235 from 129.
-106
What is -78 + -169?
Add the two numbers.
Add -78 and -169.
-247
What is 22 ÷ -2?
Divide evenly.
Divide 22 by -2.
-11
What is 3^4?
Evaluate the integer exponent.
Multiply 3 by itself 4 times (0th power = 1).
81
Simplify -65/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-5
Simplify 130/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
10
Simplify -8/1
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-8
Solve: 6x + 17 < 47
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 5
What is 196 ÷ -28?
Divide evenly.
Divide 196 by -28.
-7
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 -256 ÷ 16?
Divide evenly.
Divide -256 by 16.
-16
If each item costs 18 dollars and the total cost is 342, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
19
Solve for x: -5(x + 12) = 5
Solve a two-step equation.
Divide both sides by a, then subtract b.
-13
Solve: -10x + -11 ≥ 79
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -9
What is 140 + -30?
Add the two numbers.
Add 140 and -30.
110
What is -3^2?
Evaluate the integer exponent.
Multiply -3 by itself 2 times (0th power = 1).
9
What is 132 ÷ -11?
Divide evenly.
Divide 132 by -11.
-12
What is 223 + 115?
Add the two numbers.
Add 223 and 115.
338
What is -210 ÷ -14?
Divide evenly.
Divide -210 by -14.
15
Solve for x: 7(x + 0) = -7
Solve a two-step equation.
Divide both sides by a, then subtract b.
-1
What is -5^5?
Evaluate the integer exponent.
Multiply -5 by itself 5 times (0th power = 1).
-3125
What is 183 + -200?
Add the two numbers.
Add 183 and -200.
-17
Solve for x: 3x + -24 = 21
Solve the linear equation.
Subtract b from both sides, then divide by a.
15
Solve: -4x + -6 ≤ 18
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -6
What is 46 ÷ -23?
Divide evenly.
Divide 46 by -23.
-2
If each item costs -2 dollars and the total cost is -22, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
11
What is 4^2?
Evaluate the integer exponent.
Multiply 4 by itself 2 times (0th power = 1).
16
What is 59 × -13?
Multiply the numbers.
Multiply 59 by -13.
-767
What is -4^2?
Evaluate the integer exponent.
Multiply -4 by itself 2 times (0th power = 1).
16
What is 156 ÷ -26?
Divide evenly.
Divide 156 by -26.
-6
What is 55 × -25?
Multiply the numbers.
Multiply 55 by -25.
-1375
If each item costs 13 dollars and the total cost is 65, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
5
Simplify 40/5
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
8
What is -6^3?
Evaluate the integer exponent.
Multiply -6 by itself 3 times (0th power = 1).
-216
Solve for x: 3x + -11 = 13
Solve the linear equation.
Subtract b from both sides, then divide by a.
8
What is 255 + 58?
Add the two numbers.
Add 255 and 58.
313
What is 284 + -56?
Add the two numbers.
Add 284 and -56.
228
Simplify 88/11
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
8
What is 16 × -46?
Multiply the numbers.
Multiply 16 by -46.
-736
What is -21 + 213?
Add the two numbers.
Add -21 and 213.
192
What is 294 - 219?
Subtract the second number from the first.
Subtract 219 from 294.
75
Solve for x: 4(x + 7) = 64
Solve a two-step equation.
Divide both sides by a, then subtract b.
9
Solve for x: 4x + -13 = -65
Solve the linear equation.
Subtract b from both sides, then divide by a.
-13
Solve for x: -3x + 9 = 3
Solve the linear equation.
Subtract b from both sides, then divide by a.
2
What is -180 + -92?
Add the two numbers.
Add -180 and -92.
-272
What is -5^0?
Evaluate the integer exponent.
Multiply -5 by itself 0 times (0th power = 1).
1
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: -10x + 6 = -24
Solve the linear equation.
Subtract b from both sides, then divide by a.
3
Solve: -6x + -15 ≤ -57
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 7
If each item costs 5 dollars and the total cost is 50, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
10
Solve for x: 7(x + -6) = 42
Solve a two-step equation.
Divide both sides by a, then subtract b.
12
Solve: -6x + -15 > 57
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -12
What is 93 - 165?
Subtract the second number from the first.
Subtract 165 from 93.
-72
Solve: -10x + -17 ≤ 93
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -11
Solve: -6x + 13 < -65
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 13
What is -243 ÷ -27?
Divide evenly.
Divide -243 by -27.
9
Simplify 4/2
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
2
Simplify 0/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
Solve for x: -7(x + -12) = 126
Solve a two-step equation.
Divide both sides by a, then subtract b.
-6
What is 59 × -51?
Multiply the numbers.
Multiply 59 by -51.
-3009
What is -2 × -42?
Multiply the numbers.
Multiply -2 by -42.
84
If each item costs 7 dollars and the total cost is -91, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-13
If each item costs 12 dollars and the total cost is -168, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-14
What is -154 + -97?
Add the two numbers.
Add -154 and -97.
-251
Solve for x: 12x + 9 = 237
Solve the linear equation.
Subtract b from both sides, then divide by a.
19
What is 3^1?
Evaluate the integer exponent.
Multiply 3 by itself 1 times (0th power = 1).
3
What is 233 + -119?
Add the two numbers.
Add 233 and -119.
114
What is 21 × -45?
Multiply the numbers.
Multiply 21 by -45.
-945
If each item costs 15 dollars and the total cost is -15, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-1
Simplify 56/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
4
Simplify 108/12
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
9
What is 45 × 56?
Multiply the numbers.
Multiply 45 by 56.
2520
Solve for x: -1(x + 11) = -7
Solve a two-step equation.
Divide both sides by a, then subtract b.
-4
Solve for x: 10x + 12 = 152
Solve the linear equation.
Subtract b from both sides, then divide by a.
14
What is -12 × -27?
Multiply the numbers.
Multiply -12 by -27.
324
Solve: 4x + -4 ≥ 40
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 11
What is -18 × -60?
Multiply the numbers.
Multiply -18 by -60.
1080
Solve for x: 10x + 12 = -78
Solve the linear equation.
Subtract b from both sides, then divide by a.
-9
What is -2^0?
Evaluate the integer exponent.
Multiply -2 by itself 0 times (0th power = 1).
1
Solve for x: -1(x + -13) = 21
Solve a two-step equation.
Divide both sides by a, then subtract b.
-8
What is 4^3?
Evaluate the integer exponent.
Multiply 4 by itself 3 times (0th power = 1).
64
If each item costs 7 dollars and the total cost is 63, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
9
Solve for x: -6x + 10 = 76
Solve the linear equation.
Subtract b from both sides, then divide by a.
-11
What is -208 + -177?
Add the two numbers.
Add -208 and -177.
-385
Solve: -8x + -8 ≥ 152
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -20
What is -8^3?
Evaluate the integer exponent.
Multiply -8 by itself 3 times (0th power = 1).
-512
Simplify -48/6
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-8
What is -2 × -41?
Multiply the numbers.
Multiply -2 by -41.
82