instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
(1*3)/((671/55 - 12)*1)\n | 15\n | ibivibiv/math_instruct | |
Is 11797 prime?\n | False\n | ibivibiv/math_instruct | |
Two letters picked without replacement from bxbooxbbbxx. What is prob of picking 2 o?\n | 1/55\n | ibivibiv/math_instruct | |
Collect the terms in 2 + 8*i**3 + 30*i**2 - 30*i**2 - 3.\n | 8*i**3 - 1\n | ibivibiv/math_instruct | |
Let x(b) = b + 7. Let o(u) = -2*u**2. Give o(x(d)).\n | -2*d**2 - 28*d - 98\n | ibivibiv/math_instruct | |
Let z = 0.072 - 1.852. Let a = 2.08 + z. Put a, 49, 0.5 in descending order.\n | 49, 0.5, a\n | ibivibiv/math_instruct | |
Suppose 0 = w + 17 - 18, 0 = -2*x - 3*w + 127. Let h be 1/(123/(-61) + 2). Let m = h + x. Solve -2*b = -2*j - 0*b + 16, -2*b = 3*j + m for j.\n | 3\n | ibivibiv/math_instruct | |
Which is the nearest to -0.2? (a) -2 (b) -0.5 (c) 2/19 (d) 2\n | b\n | ibivibiv/math_instruct | |
Collect the terms in -3 + 277*n - 284*n - 384*n**2 - 198*n**2.\n | -582*n**2 - 7*n - 3\n | ibivibiv/math_instruct | |
Rearrange 0*y + 6*y + 2*y - 3*y to the form k*y + c and give c.\n | 0\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 e, 1 r, and 1 k when three letters picked without replacement from krrkkkqkerkkrqkr.\n | 1/14\n | ibivibiv/math_instruct | |
Solve -3*i = -4*p - 6, -29*i + 33*i - 8 = -3*p for p.\n | 0\n | ibivibiv/math_instruct | |
Let k(b) = 2*b**2. Let l(j) = -2*j**2 + 1 + 5 - 6. Determine k(l(m)).\n | 8*m**4\n | ibivibiv/math_instruct | |
Evaluate ((-7533)/124)/(-27)*8/6.\n | 3\n | ibivibiv/math_instruct | |
-9 (base 16) to base 4\n | -21\n | ibivibiv/math_instruct | |
Solve 21*w - 49 = -7 for w.\n | 2\n | ibivibiv/math_instruct | |
Suppose 2*a + 3*r = -33, -a - 3*a + 4*r - 36 = 0. Let j = a - -11. Let f be (-2)/(-3)*j*-18. Calculate the greatest common divisor of f and 60.\n | 12\n | ibivibiv/math_instruct | |
Collect the terms in 15*k - 5*k + 11*k - 2 + 0.\n | 21*k - 2\n | ibivibiv/math_instruct | |
Is 148681 composite?\n | True\n | ibivibiv/math_instruct | |
b"What is the th term of 40, 34, 16, -20, -80, -170, -296?\n" | -b**3 + b + 40\n | ibivibiv/math_instruct | |
Let a(z) = -9*z - 11. What is the units digit of a(-16)?\n | 3\n | ibivibiv/math_instruct | |
What is the nearest to 152/7 in -0.2, 4/7, 0?\n | 4/7\n | ibivibiv/math_instruct | |
Let t(r) be the first derivative of -91 + r**3 - 23913*r + 23913*r. Let f(s) = 47*s**2. What is f(t(o))?\n | 423*o**4\n | ibivibiv/math_instruct | |
Suppose 6*k - 24 = 18. Suppose 2035 = k*s - 2*s. Is s composite?\n | True\n | ibivibiv/math_instruct | |
-1 * -745.011\n | 745.011\n | ibivibiv/math_instruct | |
Work out -0.4 - 111629833954431.\n | -111629833954431.4\n | ibivibiv/math_instruct | |
Let a(k) = -4*k**2 + 35*k + 7. Suppose 3*x = -3*i + 5*i + 15, -2*i = -6. What is the units digit of a(x)?\n | 6\n | ibivibiv/math_instruct | |
What is the greatest common factor of 488 and 1080?\n | 8\n | ibivibiv/math_instruct | |
b"What is the ath term of 3452, 6983, 10626, 14435, 18464, 22767?\n" | 9*a**3 + 2*a**2 + 3462*a - 21\n | ibivibiv/math_instruct | |
What is c in -c**5/3 - 28*c**4/3 + 2930*c**3/3 - 8612*c**2/3 + 8551*c/3 - 2840/3 = 0?\n | -71, 1, 40\n | ibivibiv/math_instruct | |
Solve 0 = 7047*p + 204906 + 73412 + 320677 for p.\n | -85\n | ibivibiv/math_instruct | |
Is 17729 a composite number?\n | False\n | ibivibiv/math_instruct | |
Let t be (-1)/(1/(-2) - 0). Let o(j) = 5*j**2 + 1. Let w be o(-1). Suppose -y - t = -w. Let m(b) = b**2 - 6*b + 5. Determine m(y).\n | -3\n | ibivibiv/math_instruct | |
What is 8/25 of a century in months?\n | 384\n | ibivibiv/math_instruct | |
Let j = -2255 - -2258. Let v = -262 - -250. Which is the third biggest value? (a) 2 (b) j (c) v\n | c\n | ibivibiv/math_instruct | |
What is the value of (41 - (57 - 19)) + -71?\n | -68\n | ibivibiv/math_instruct | |
Calculate (-80)/128 + -70*14/(-2240).\n | -3/16\n | ibivibiv/math_instruct | |
Solve 26*o - 4*m + 56 = 20*o, -6*o = -m + 32 for o.\n | -4\n | ibivibiv/math_instruct | |
Let g = -1113 - -1747. What are the prime factors of g?\n | 2, 317\n | ibivibiv/math_instruct | |
What is 4821929886 to the power of 1/3, to the nearest integer?\n | 1689\n | ibivibiv/math_instruct | |
Simplify -2 + (sqrt(210)/(sqrt(6)*-3))/sqrt(5).\n | -2 - sqrt(7)/3\n | ibivibiv/math_instruct | |
What are the prime factors of 7395?\n | 3, 5, 17, 29\n | ibivibiv/math_instruct | |
What is 39 (base 12) in base 13?\n | 36\n | ibivibiv/math_instruct | |
Let w = 0.3 + -0.4. Suppose -12 = -3*m, -t - 4*t + 5*m = 35. Which is the second biggest value? (a) w (b) -4 (c) 0.2 (d) t\n | a\n | ibivibiv/math_instruct | |
Simplify ((q**(-5/4)*q**13)**(-36))**(-1/6) assuming q is positive.\n | q**(141/2)\n | ibivibiv/math_instruct | |
In base 15, what is -7a + -43e4?\n | -446e\n | ibivibiv/math_instruct | |
Is 17897263183 a prime number?\n | False\n | ibivibiv/math_instruct | |
Let m(x) = -x**2 + 7*x + 37. What is the units digit of m(8)?\n | 9\n | ibivibiv/math_instruct | |
2+0.92466\n | 2.92466\n | ibivibiv/math_instruct | |
Expand (-8 - 9 - 38)*(-4 + 4 - 1)*(5*m - m - 3*m).\n | 55*m\n | ibivibiv/math_instruct | |
How many kilograms are there in thirteen eighths of a tonne?\n | 1625\n | ibivibiv/math_instruct | |
Suppose -z - 8 = 4*i - 0*z, 5*i + 5*z + 25 = 0. Let t = -75 + 72. Sort 4, i, t in decreasing order.\n | 4, i, t\n | ibivibiv/math_instruct | |
Differentiate 48584*k**2 - 650675 wrt k.\n | 97168*k\n | ibivibiv/math_instruct | |
Let f(x) = -x**3 + 3*x**2 - 9*x + 461. Let d(u) = -3*u**3 + 8*u**2 - 26*u + 1385. Give -3*d(y) + 8*f(y).\n | y**3 + 6*y - 467\n | ibivibiv/math_instruct | |
Suppose 3*o = -3*r - 15, 5*r - 4 = -4*o - 25. Let x be (r - 1)/(-1) + -5. Sort x, -2, -4.\n | -4, x, -2\n | ibivibiv/math_instruct | |
What is 681570457 to the power of 1/9, to the nearest integer?\n | 10\n | ibivibiv/math_instruct | |
Express $213_{8}-142_{7}$ as a base X integer.
If we know the answer to the above question is 60, what is the value of unknown variable X? | We are given two numbers in different bases: $213_{8}$ and $142_{7}$.
To subtract these numbers, we need to convert them to a common base.
Let's convert both numbers to base 10:
$213_{8}$ = $2 * 8^2 + 1 * 8^1 + 3 * 8^0$ = $139_{10}$
$142_{7}$ = $1 * 7^2 + 4 * 7^1 + 2 * 7^0$ = $67_{10}$
Now, we can subtract the converte... | ibivibiv/math_instruct | |
What is the tens digit of 150?\n | 5\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 591658 and 638.\n | 58\n | ibivibiv/math_instruct | |
Is 36543563 a multiple of 13?\n | False\n | ibivibiv/math_instruct | |
What is the next term in -3536, -11861, -25738, -45167, -70148, -100681?\n | -136766\n | ibivibiv/math_instruct | |
Suppose -3*l = 3*k - 24, -4*l = -2*k - 0 - 2. Suppose 6*h - 19 = -d + h, 0 = -4*d + l*h + 7. Let f be d/3*10/(-15). Which is smaller: f or 0?\n | f\n | ibivibiv/math_instruct | |
Let o = -0.1 + 0.2. Is o < 16?\n | True\n | ibivibiv/math_instruct | |
Tina is working on her homework when she realizes shes having a hard time typing out her answers on her laptop because a lot of the keys are sticky. She is trying to get her homework done before dinner, though, so she needs to decide if she has time to clean her keyboard first. Tina knows her assignment will only take ... | Tina has already cleaned one key so she has 14 left which take 3 minutes each to clean, 14 x 3 = 42 minutes to clean all the keyboard keys.
Her assignment will take 10 minutes to complete, so she needs 42 minutes + 10 minutes = 52 minutes total before dinner.
The answer is 52 | ibivibiv/math_instruct | |
Suppose 5*b + h = 2*b + 66, -3*b = -h - 66. Calculate the remainder when 301 is divided by b.\n | 15\n | ibivibiv/math_instruct | |
Suppose -4*j = -3*j - 15. Let b be (j/(-4))/((-3)/12). Let s be 3*(-4)/(-3 - 1). Solve 0 = h - 2*c - 9, -s*h + b = -c - c for h.\n | 3\n | ibivibiv/math_instruct | |
Suppose -21*t - 1456 = -28*t. Calculate the smallest common multiple of 78 and t.\n | 624\n | ibivibiv/math_instruct | |
Collect the terms in -1212*a - 1333*a + 133*a - 1423*a.\n | -3835*a\n | ibivibiv/math_instruct | |
480 divided by -5\n | -96\n | ibivibiv/math_instruct | |
How many minutes are there between 9:07 AM and 9:48 AM?\n | 41\n | ibivibiv/math_instruct | |
-60639572*-0.2\n | 12127914.4\n | ibivibiv/math_instruct | |
Rearrange 2*g**3 - 52*g**4 + 2*g + 26*g**2 - 5*g - 56*g**4 + 196*g**4 to y*g + q*g**4 + r + t*g**2 + d*g**3 and give r.\n | 0\n | ibivibiv/math_instruct | |
What is the highest common divisor of 11920 and 5840?\n | 80\n | ibivibiv/math_instruct | |
Calculate 516/645*(-3)/(-3).\n | 4/5\n | ibivibiv/math_instruct | |
-32542131024+39\n | -32542130985\n | ibivibiv/math_instruct | |
Let s(y) = 7*y**2 + 4*y + 5. Let f(i) = i**2 + i. Let h(t) = -4*f(t) + s(t). Let x(k) = 3*k**2 + 2 - 2*k**2 - 2*k**2 - 4. Calculate -4*h(a) - 10*x(a).\n | -2*a**2\n | ibivibiv/math_instruct | |
Sort -1, -9, 2303, 0.\n | -9, -1, 0, 2303\n | ibivibiv/math_instruct | |
Find the first derivative of 19914*s - 107179 wrt s.\n | 19914\n | ibivibiv/math_instruct | |
18c18 (base 15) to base 5\n | 10032343\n | ibivibiv/math_instruct | |
Let v = 404 - 401. Let u(w) = 7*w - 1 - 2*w + 0*w + 13*w. Is u(v) a composite number?\n | False\n | ibivibiv/math_instruct | |
Let o = -3 - -9. Let t be (3/o)/(2/132). Let a = -1 + t. Is a a multiple of 16?\n | True\n | ibivibiv/math_instruct | |
Let p(k) be the first derivative of 51 - 3*k + 3*k - 33*k**2 + 30*k**2. Let b(u) = u**2. Determine b(p(t)).\n | 36*t**2\n | ibivibiv/math_instruct | |
Expand ((x + 5*x - 4*x)*(28 - 9 + 15)*(-x + x - 2*x) + x - x + 3*x**2)*(x + 2*x - x).\n | -266*x**3\n | ibivibiv/math_instruct | |
Let k(u) = -u**2 + 11*u - 33. Give k(10).\n | -23\n | ibivibiv/math_instruct | |
List the prime factors of 9655253.\n | 9655253\n | ibivibiv/math_instruct | |
What is 73.68999 millennia in months?\n | 884279.88\n | ibivibiv/math_instruct | |
Evaluate ((-20)/8)/(125/40).\n | -4/5\n | ibivibiv/math_instruct | |
Let y(p) = 7*p**3 + 4*p**2 - 2*p - 3. Is y(2) a multiple of 8?\n | False\n | ibivibiv/math_instruct | |
Mike wants to buy a new car. He has chosen a red car for $35000. To be able to pay this price, he needs to loan part of the money from the bank, at a rate of 15%. How much money in total will Mike need to pay for the car, if he has to take $20000 from the bank? | Mike wants to buy a car for $35000 and he needs to take a loan of $20000 from the bank.
The loan amount is subject to an interest rate of 15%, which means Mike will have to pay an additional 15% of the loan amount as interest.
So, the interest on the loan will be 15/100 * $20000 = $3000.
Therefore, the total amount Mik... | ibivibiv/math_instruct | |
Collect the terms in -52*w**3 + 1200 - 1200.\n | -52*w**3\n | ibivibiv/math_instruct | |
List the prime factors of (-10)/8*(-12)/(-30)*-9832.\n | 2, 1229\n | ibivibiv/math_instruct | |
Let t(k) = -4*k. Let s(n) = -3*n. Let m(x) = -5*s(x) + 4*t(x). Let o(j) = 8*j**2. Determine m(o(d)).\n | -8*d**2\n | ibivibiv/math_instruct | |
Suppose 4*b - 3*b - 4 = 0. Suppose -r = -492 - 279. Suppose -o + 2*l = -r, 2*o - 1536 = 5*l - b*l. Is o prime?\n | False\n | ibivibiv/math_instruct | |
How many minutes are there between 4:12 PM and 3:58 AM?\n | 706\n | ibivibiv/math_instruct | |
What is the highest common factor of 2810535 and 2535?\n | 195\n | ibivibiv/math_instruct | |
Calculate the common denominator of 29/2362384 and 13/5315364.\n | 21261456\n | ibivibiv/math_instruct | |
Simplify ((sqrt(2400) - (sqrt(2400) - ((sqrt(2400) - sqrt(2400)*-1) + sqrt(2400))*-5)) + sqrt(2400))/((sqrt(1728) + sqrt(1728) + sqrt(1728)*-1 + sqrt(12))*-5).\n | 28*sqrt(2)/13\n | ibivibiv/math_instruct | |
Which is greater: 16556/8775 or 2?\n | 2\n | ibivibiv/math_instruct | |
Divide 92267 by 20.\n | 92267/20\n | ibivibiv/math_instruct | |
Simplify 1*(5 + (sqrt(425) + 0 + -1 + 4*2*sqrt(425))**2 - ((sqrt(425) + -2)**2 + -4 + sqrt(425) + -2*(sqrt(425) + 3 + sqrt(425))**2)).\n | 45*sqrt(17) + 37424\n | ibivibiv/math_instruct |
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