question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve for x: 5(x + -3) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
What is -8^5?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 5 times (0th power = 1).
|
-32768
|
Simplify -10/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
Solve for x: -2x + 11 = 7
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
Simplify 96/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
12
|
What is 0 ÷ -28?
|
Divide evenly.
|
Divide 0 by -28.
|
0
|
Solve for x: 10x + 5 = 45
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
4
|
Solve for x: 5x + 18 = 58
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
What is -170 + -131?
|
Add the two numbers.
|
Add -170 and -131.
|
-301
|
What is 167 - 220?
|
Subtract the second number from the first.
|
Subtract 220 from 167.
|
-53
|
What is 266 - 271?
|
Subtract the second number from the first.
|
Subtract 271 from 266.
|
-5
|
What is 86 + 235?
|
Add the two numbers.
|
Add 86 and 235.
|
321
|
What is 197 + -189?
|
Add the two numbers.
|
Add 197 and -189.
|
8
|
Solve: -3x + -13 ≥ 44
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -19
|
What is -120 + 297?
|
Add the two numbers.
|
Add -120 and 297.
|
177
|
What is -180 ÷ -12?
|
Divide evenly.
|
Divide -180 by -12.
|
15
|
What is -6^2?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 2 times (0th power = 1).
|
36
|
Simplify -49/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
Solve for x: -6(x + 6) = 54
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
What is 29 ÷ -29?
|
Divide evenly.
|
Divide 29 by -29.
|
-1
|
Simplify 96/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
12
|
What is 10 + -258?
|
Add the two numbers.
|
Add 10 and -258.
|
-248
|
What is -74 - -81?
|
Subtract the second number from the first.
|
Subtract -81 from -74.
|
7
|
What is 185 - 240?
|
Subtract the second number from the first.
|
Subtract 240 from 185.
|
-55
|
Solve for x: 3x + -4 = 5
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
3
|
What is 37 × -54?
|
Multiply the numbers.
|
Multiply 37 by -54.
|
-1998
|
If each item costs 8 dollars and the total cost is 216, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
27
|
Solve: 2x + 17 > 25
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 4
|
Solve for x: 2(x + 1) = -8
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
Solve for x: -6x + 25 = -59
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
14
|
What is 100 + -300?
|
Add the two numbers.
|
Add 100 and -300.
|
-200
|
What is 180 ÷ 12?
|
Divide evenly.
|
Divide 180 by 12.
|
15
|
What is -290 ÷ -29?
|
Divide evenly.
|
Divide -290 by -29.
|
10
|
What is -96 - 252?
|
Subtract the second number from the first.
|
Subtract 252 from -96.
|
-348
|
Solve: 8x + -19 ≤ -83
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -8
|
What is -2^4?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 4 times (0th power = 1).
|
16
|
What is -89 + 180?
|
Add the two numbers.
|
Add -89 and 180.
|
91
|
What is -157 - -256?
|
Subtract the second number from the first.
|
Subtract -256 from -157.
|
99
|
Simplify 60/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
10
|
Simplify 39/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
Solve for x: -5(x + 12) = -20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
What is 55 × 23?
|
Multiply the numbers.
|
Multiply 55 by 23.
|
1265
|
If each item costs 6 dollars and the total cost is 18, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
3
|
What is -38 × 41?
|
Multiply the numbers.
|
Multiply -38 by 41.
|
-1558
|
Solve for x: -3x + -8 = -5
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-1
|
What is -296 - 176?
|
Subtract the second number from the first.
|
Subtract 176 from -296.
|
-472
|
What is -80 + -116?
|
Add the two numbers.
|
Add -80 and -116.
|
-196
|
Solve: 5x + 20 > -60
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -16
|
What is -10 × -40?
|
Multiply the numbers.
|
Multiply -10 by -40.
|
400
|
Solve for x: 6(x + 3) = 78
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
If each item costs -6 dollars and the total cost is -18, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
3
|
Solve for x: -2(x + -13) = 48
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
Simplify 22/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
Solve for x: -8x + -11 = -59
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
6
|
What is -175 + 282?
|
Add the two numbers.
|
Add -175 and 282.
|
107
|
What is 81 ÷ -27?
|
Divide evenly.
|
Divide 81 by -27.
|
-3
|
What is -35 ÷ 7?
|
Divide evenly.
|
Divide -35 by 7.
|
-5
|
What is -7^0?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 0 times (0th power = 1).
|
1
|
What is 36 ÷ 12?
|
Divide evenly.
|
Divide 36 by 12.
|
3
|
Simplify 40/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
What is -4 × 57?
|
Multiply the numbers.
|
Multiply -4 by 57.
|
-228
|
Simplify 128/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
What is -300 ÷ -25?
|
Divide evenly.
|
Divide -300 by -25.
|
12
|
What is 58 × 5?
|
Multiply the numbers.
|
Multiply 58 by 5.
|
290
|
If each item costs 2 dollars and the total cost is -30, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-15
|
Solve: 4x + -3 ≤ 61
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 16
|
What is 4^3?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 3 times (0th power = 1).
|
64
|
What is 8^2?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 2 times (0th power = 1).
|
64
|
What is 209 ÷ -11?
|
Divide evenly.
|
Divide 209 by -11.
|
-19
|
If each item costs 16 dollars and the total cost is -144, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-9
|
Simplify 45/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
Solve for x: -9x + -12 = -192
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
20
|
Solve for x: 9x + -6 = -177
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-19
|
Solve: -4x + 1 ≤ -79
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 20
|
What is -77 + 80?
|
Add the two numbers.
|
Add -77 and 80.
|
3
|
Solve: 10x + -9 ≥ -49
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -4
|
What is 24 × 18?
|
Multiply the numbers.
|
Multiply 24 by 18.
|
432
|
What is 3^0?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 0 times (0th power = 1).
|
1
|
If each item costs 13 dollars and the total cost is -39, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
Solve: 1x + -3 < 14
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 17
|
Solve for x: 6x + 9 = -87
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-16
|
Solve: -2x + 5 ≥ 37
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -16
|
What is 3^0?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 0 times (0th power = 1).
|
1
|
Simplify -5/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
Simplify -48/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
What is -234 - -208?
|
Subtract the second number from the first.
|
Subtract -208 from -234.
|
-26
|
Solve: -8x + -1 < 143
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -18
|
Simplify 120/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
12
|
Simplify 35/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
Solve: 9x + 19 ≤ 199
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 20
|
What is 9 × 11?
|
Multiply the numbers.
|
Multiply 9 by 11.
|
99
|
What is 300 + -22?
|
Add the two numbers.
|
Add 300 and -22.
|
278
|
If each item costs 14 dollars and the total cost is 322, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
23
|
What is -231 + -217?
|
Add the two numbers.
|
Add -231 and -217.
|
-448
|
What is -198 - -300?
|
Subtract the second number from the first.
|
Subtract -300 from -198.
|
102
|
What is 97 - -9?
|
Subtract the second number from the first.
|
Subtract -9 from 97.
|
106
|
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
|
What is -44 - -62?
|
Subtract the second number from the first.
|
Subtract -62 from -44.
|
18
|
What is 6^4?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 4 times (0th power = 1).
|
1296
|
Solve for x: -1(x + -9) = 14
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
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