question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve: 10x + 18 ≤ 218
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 20
|
Solve: -9x + 15 ≤ -147
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 18
|
What is -56 × -7?
|
Multiply the numbers.
|
Multiply -56 by -7.
|
392
|
What is 8^0?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 0 times (0th power = 1).
|
1
|
What is -180 - 17?
|
Subtract the second number from the first.
|
Subtract 17 from -180.
|
-197
|
What is 146 + -135?
|
Add the two numbers.
|
Add 146 and -135.
|
11
|
Simplify 81/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
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.
|
-8
|
What is -2^1?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 1 times (0th power = 1).
|
-2
|
Solve for x: -6x + -24 = 0
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
Solve for x: 6(x + -13) = -72
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
What is -299 ÷ 23?
|
Divide evenly.
|
Divide -299 by 23.
|
-13
|
What is -12 × -14?
|
Multiply the numbers.
|
Multiply -12 by -14.
|
168
|
What is 209 ÷ -11?
|
Divide evenly.
|
Divide 209 by -11.
|
-19
|
What is 6^0?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 0 times (0th power = 1).
|
1
|
Solve for x: -6(x + 4) = -66
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
7
|
What is -152 + 281?
|
Add the two numbers.
|
Add -152 and 281.
|
129
|
Solve: -3x + 17 < 62
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -15
|
Solve for x: -2x + -26 = -52
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
13
|
If each item costs 20 dollars and the total cost is -60, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
Solve for x: -5(x + 15) = -145
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
What is -42 × -40?
|
Multiply the numbers.
|
Multiply -42 by -40.
|
1680
|
What is 55 × -60?
|
Multiply the numbers.
|
Multiply 55 by -60.
|
-3300
|
Solve for x: 1x + -18 = -21
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-3
|
Solve for x: 4x + 20 = -36
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
Solve for x: -7(x + -2) = 70
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
Solve for x: 5x + -7 = 33
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
What is -336 ÷ 24?
|
Divide evenly.
|
Divide -336 by 24.
|
-14
|
What is 35 ÷ 7?
|
Divide evenly.
|
Divide 35 by 7.
|
5
|
What is 11 + -118?
|
Add the two numbers.
|
Add 11 and -118.
|
-107
|
What is 1^1?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 1 times (0th power = 1).
|
1
|
Solve: -9x + -6 ≤ -96
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 10
|
What is 60 + -147?
|
Add the two numbers.
|
Add 60 and -147.
|
-87
|
If each item costs 4 dollars and the total cost is 100, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
25
|
What is 4^5?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 5 times (0th power = 1).
|
1024
|
What is -2^3?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 3 times (0th power = 1).
|
-8
|
Solve: -2x + 8 < 48
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -20
|
What is 131 - -182?
|
Subtract the second number from the first.
|
Subtract -182 from 131.
|
313
|
Solve for x: -6x + 1 = 109
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
Solve for x: 1x + -26 = -34
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-8
|
Solve for x: -6(x + -1) = -72
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
Solve for x: -8(x + -3) = 40
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
What is 63 - -59?
|
Subtract the second number from the first.
|
Subtract -59 from 63.
|
122
|
Solve: -5x + -2 ≤ -22
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 4
|
What is -2^3?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 3 times (0th power = 1).
|
-8
|
Solve for x: -1(x + 12) = 1
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-13
|
What is -5^4?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 4 times (0th power = 1).
|
625
|
What is 32 × 53?
|
Multiply the numbers.
|
Multiply 32 by 53.
|
1696
|
Solve: 7x + -13 > 120
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 19
|
Solve: 9x + 16 < 70
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 6
|
Solve: 4x + 18 ≥ -62
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -20
|
Solve for x: 1(x + 9) = 20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
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
|
What is 123 + -10?
|
Add the two numbers.
|
Add 123 and -10.
|
113
|
Solve for x: 2x + 22 = -8
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
What is -189 + 180?
|
Add the two numbers.
|
Add -189 and 180.
|
-9
|
What is 210 ÷ 15?
|
Divide evenly.
|
Divide 210 by 15.
|
14
|
What is 180 + 140?
|
Add the two numbers.
|
Add 180 and 140.
|
320
|
What is 113 - 43?
|
Subtract the second number from the first.
|
Subtract 43 from 113.
|
70
|
What is -100 + 202?
|
Add the two numbers.
|
Add -100 and 202.
|
102
|
What is 3^3?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 3 times (0th power = 1).
|
27
|
What is -260 ÷ 20?
|
Divide evenly.
|
Divide -260 by 20.
|
-13
|
If each item costs 16 dollars and the total cost is 416, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
26
|
Solve for x: 11x + 9 = 97
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
Solve: -9x + -7 ≤ 155
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -18
|
What is 24 × 49?
|
Multiply the numbers.
|
Multiply 24 by 49.
|
1176
|
Solve: -5x + 15 < -60
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 15
|
What is -143 ÷ -13?
|
Divide evenly.
|
Divide -143 by -13.
|
11
|
Simplify 45/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
What is 36 ÷ 4?
|
Divide evenly.
|
Divide 36 by 4.
|
9
|
Solve for x: -8x + -18 = 126
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
What is 7^1?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 1 times (0th power = 1).
|
7
|
What is 3^1?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 1 times (0th power = 1).
|
3
|
If each item costs -7 dollars and the total cost is 7, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-1
|
Solve for x: 5(x + -13) = -35
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
6
|
Solve: -7x + 6 > 118
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -16
|
What is 192 ÷ 12?
|
Divide evenly.
|
Divide 192 by 12.
|
16
|
What is -91 - -60?
|
Subtract the second number from the first.
|
Subtract -60 from -91.
|
-31
|
What is -4 + -138?
|
Add the two numbers.
|
Add -4 and -138.
|
-142
|
Simplify -96/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
Solve for x: 6(x + -15) = -144
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
Simplify -15/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-3
|
What is -299 + 108?
|
Add the two numbers.
|
Add -299 and 108.
|
-191
|
What is -54 × -5?
|
Multiply the numbers.
|
Multiply -54 by -5.
|
270
|
Solve for x: 1(x + -5) = 4
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
9
|
What is -38 × 0?
|
Multiply the numbers.
|
Multiply -38 by 0.
|
0
|
Solve for x: 6(x + -9) = -102
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
What is 36 × 19?
|
Multiply the numbers.
|
Multiply 36 by 19.
|
684
|
What is 40 × -10?
|
Multiply the numbers.
|
Multiply 40 by -10.
|
-400
|
What is -7^4?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 4 times (0th power = 1).
|
2401
|
What is 3 × -18?
|
Multiply the numbers.
|
Multiply 3 by -18.
|
-54
|
Simplify 24/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
What is -220 ÷ -20?
|
Divide evenly.
|
Divide -220 by -20.
|
11
|
What is -39 × 2?
|
Multiply the numbers.
|
Multiply -39 by 2.
|
-78
|
What is 173 + -222?
|
Add the two numbers.
|
Add 173 and -222.
|
-49
|
What is -4^5?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 5 times (0th power = 1).
|
-1024
|
What is 6^5?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 5 times (0th power = 1).
|
7776
|
What is -115 + 298?
|
Add the two numbers.
|
Add -115 and 298.
|
183
|
What is 5^4?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 4 times (0th power = 1).
|
625
|
If each item costs -6 dollars and the total cost is -84, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
14
|
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