question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
Solve: 3x + 5 < -22
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -9
If each item costs 12 dollars and the total cost is -12, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-1
What is -5^3?
Evaluate the integer exponent.
Multiply -5 by itself 3 times (0th power = 1).
-125
Solve for x: -4x + -18 = 58
Solve the linear equation.
Subtract b from both sides, then divide by a.
-19
What is 94 + 43?
Add the two numbers.
Add 94 and 43.
137
What is 1^5?
Evaluate the integer exponent.
Multiply 1 by itself 5 times (0th power = 1).
1
Solve for x: 1(x + 13) = 8
Solve a two-step equation.
Divide both sides by a, then subtract b.
-5
What is 72 ÷ -8?
Divide evenly.
Divide 72 by -8.
-9
Solve for x: -7(x + 9) = -147
Solve a two-step equation.
Divide both sides by a, then subtract b.
12
What is -6^0?
Evaluate the integer exponent.
Multiply -6 by itself 0 times (0th power = 1).
1
What is 19 × -12?
Multiply the numbers.
Multiply 19 by -12.
-228
What is -3^0?
Evaluate the integer exponent.
Multiply -3 by itself 0 times (0th power = 1).
1
Solve: 5x + 11 > -59
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -14
What is 253 + -22?
Add the two numbers.
Add 253 and -22.
231
What is -12 × -58?
Multiply the numbers.
Multiply -12 by -58.
696
What is -78 ÷ 26?
Divide evenly.
Divide -78 by 26.
-3
Solve: 5x + 12 ≥ -33
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -9
What is -8^4?
Evaluate the integer exponent.
Multiply -8 by itself 4 times (0th power = 1).
4096
What is -35 × 10?
Multiply the numbers.
Multiply -35 by 10.
-350
Simplify 40/10
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
4
Solve for x: 4(x + 5) = -12
Solve a two-step equation.
Divide both sides by a, then subtract b.
-8
What is -38 × -57?
Multiply the numbers.
Multiply -38 by -57.
2166
What is 5 + -121?
Add the two numbers.
Add 5 and -121.
-116
What is -8^1?
Evaluate the integer exponent.
Multiply -8 by itself 1 times (0th power = 1).
-8
What is 132 ÷ 11?
Divide evenly.
Divide 132 by 11.
12
Simplify -144/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-9
What is -285 + -174?
Add the two numbers.
Add -285 and -174.
-459
What is 21 ÷ -3?
Divide evenly.
Divide 21 by -3.
-7
What is -2^0?
Evaluate the integer exponent.
Multiply -2 by itself 0 times (0th power = 1).
1
Simplify 120/10
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
12
What is 304 ÷ 16?
Divide evenly.
Divide 304 by 16.
19
Solve for x: 5(x + 5) = -30
Solve a two-step equation.
Divide both sides by a, then subtract b.
-11
What is 14 × 14?
Multiply the numbers.
Multiply 14 by 14.
196
What is -5 × -12?
Multiply the numbers.
Multiply -5 by -12.
60
What is -3^3?
Evaluate the integer exponent.
Multiply -3 by itself 3 times (0th power = 1).
-27
If each item costs -1 dollars and the total cost is 1, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-1
Solve for x: 2(x + 13) = 54
Solve a two-step equation.
Divide both sides by a, then subtract b.
14
If each item costs -3 dollars and the total cost is 21, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-7
What is 47 - 265?
Subtract the second number from the first.
Subtract 265 from 47.
-218
What is -7^3?
Evaluate the integer exponent.
Multiply -7 by itself 3 times (0th power = 1).
-343
Solve for x: 2x + -5 = 13
Solve the linear equation.
Subtract b from both sides, then divide by a.
9
What is 269 + 258?
Add the two numbers.
Add 269 and 258.
527
What is 4 × -25?
Multiply the numbers.
Multiply 4 by -25.
-100
If each item costs -10 dollars and the total cost is -150, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
15
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.
-14
Solve for x: -3x + 17 = 26
Solve the linear equation.
Subtract b from both sides, then divide by a.
-3
Solve: 8x + 8 > 128
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 15
Simplify 0/7
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
Solve for x: 5(x + 6) = 85
Solve a two-step equation.
Divide both sides by a, then subtract b.
11
Simplify 112/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
7
What is -1^2?
Evaluate the integer exponent.
Multiply -1 by itself 2 times (0th power = 1).
1
If each item costs -10 dollars and the total cost is -180, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
18
What is -52 × 13?
Multiply the numbers.
Multiply -52 by 13.
-676
Simplify -104/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-8
What is 156 ÷ 12?
Divide evenly.
Divide 156 by 12.
13
What is 49 × 2?
Multiply the numbers.
Multiply 49 by 2.
98
If each item costs 19 dollars and the total cost is 570, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
30
Solve for x: -10x + -22 = -202
Solve the linear equation.
Subtract b from both sides, then divide by a.
18
Solve for x: -7(x + 15) = -140
Solve a two-step equation.
Divide both sides by a, then subtract b.
5
What is 265 - 201?
Subtract the second number from the first.
Subtract 201 from 265.
64
Simplify 30/10
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
3
What is -119 ÷ -7?
Divide evenly.
Divide -119 by -7.
17
What is -125 - -168?
Subtract the second number from the first.
Subtract -168 from -125.
43
Simplify -20/10
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-2
What is 39 + 30?
Add the two numbers.
Add 39 and 30.
69
Solve: -4x + -3 ≥ 65
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -17
What is -60 × 23?
Multiply the numbers.
Multiply -60 by 23.
-1380
Solve for x: 3(x + -2) = -6
Solve a two-step equation.
Divide both sides by a, then subtract b.
0
What is 7^2?
Evaluate the integer exponent.
Multiply 7 by itself 2 times (0th power = 1).
49
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.
-1
What is -247 ÷ 19?
Divide evenly.
Divide -247 by 19.
-13
Simplify -40/10
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-4
If each item costs -6 dollars and the total cost is -102, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
17
What is -2 - 161?
Subtract the second number from the first.
Subtract 161 from -2.
-163
What is -4^2?
Evaluate the integer exponent.
Multiply -4 by itself 2 times (0th power = 1).
16
What is 5^3?
Evaluate the integer exponent.
Multiply 5 by itself 3 times (0th power = 1).
125
Simplify -1/1
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-1
Solve for x: 8x + -17 = 103
Solve the linear equation.
Subtract b from both sides, then divide by a.
15
Solve for x: 9x + -3 = -93
Solve the linear equation.
Subtract b from both sides, then divide by a.
-10
If each item costs 15 dollars and the total cost is -270, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-18
What is 6^4?
Evaluate the integer exponent.
Multiply 6 by itself 4 times (0th power = 1).
1296
What is -60 ÷ -4?
Divide evenly.
Divide -60 by -4.
15
Solve for x: -7(x + 11) = 14
Solve a two-step equation.
Divide both sides by a, then subtract b.
-13
Simplify -16/4
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-4
Simplify -88/8
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-11
If each item costs 7 dollars and the total cost is -77, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-11
If each item costs -2 dollars and the total cost is 2, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-1
Solve for x: -1(x + 4) = -2
Solve a two-step equation.
Divide both sides by a, then subtract b.
-2
What is -63 - 148?
Subtract the second number from the first.
Subtract 148 from -63.
-211
What is -237 - -226?
Subtract the second number from the first.
Subtract -226 from -237.
-11
What is -7 × -3?
Multiply the numbers.
Multiply -7 by -3.
21
Simplify 22/11
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
2
What is 234 - 261?
Subtract the second number from the first.
Subtract 261 from 234.
-27
What is 87 + -17?
Add the two numbers.
Add 87 and -17.
70
What is 287 + -54?
Add the two numbers.
Add 287 and -54.
233
Solve: 7x + 15 > 155
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 20
Solve: 9x + -2 > -29
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -3
Solve for x: 1x + 1 = 18
Solve the linear equation.
Subtract b from both sides, then divide by a.
17
What is 6^3?
Evaluate the integer exponent.
Multiply 6 by itself 3 times (0th power = 1).
216
Solve for x: 7(x + 13) = 189
Solve a two-step equation.
Divide both sides by a, then subtract b.
14