instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the highest common factor of 20 and 10444?\n | 4\n | ibivibiv/math_instruct | |
Let l be 2/(-3*(-2)/12). Suppose -3*o - l*j = 10 + 14, -5 = 2*o - j. Sort o, 2, 0, 1.\n | o, 0, 1, 2\n | ibivibiv/math_instruct | |
Teresa is collecting pencils. She has some colored pencils and 35 black pencils. Her three younger siblings need pencils for class and their dad asks her to share all her pencils, giving each an equal number of pencils, regardless of color. He tells her she can keep 10 of them for herself. Each sibling gets 13 pencils.... | Teresa has three younger siblings, and each of them gets 13 pencils. So, the total number of pencils given to her siblings is:
3 siblings * 13 pencils/sibling = 39 pencils
Teresa keeps 10 pencils for herself. So, the total number of pencils she had before giving any away is:
39 pencils (given to siblings) + 10 penci... | ibivibiv/math_instruct | |
Let u(l) = -l**3 + 6*l**2 - 5*l + 2. Let z be u(5). Suppose -z + 14 = c. What is the remainder when 23 is divided by c?\n | 11\n | ibivibiv/math_instruct | |
Let q(o) = -o**2 + o. Let f(j) = -29*j**3 - 7*j**2 - 6*j. Let s(a) = f(a) + 5*q(a). Find the third derivative of s(x) wrt x.\n | -174\n | ibivibiv/math_instruct | |
What is 2603216 (base 7) in base 6?\n | 11121252\n | ibivibiv/math_instruct | |
What is 0.003740118185 rounded to 7 dps?\n | 0.0037401\n | ibivibiv/math_instruct | |
Let z(q) = -5*q - 15. Let a(n) = -3*n - 8. Let w(d) = 5*a(d) - 2*z(d). Let r(y) = -9*y. What is the remainder when w(-5) is divided by r(-1)?\n | 6\n | ibivibiv/math_instruct | |
Let r be (-10 - 2)*1/(-3). Let x(h) = h**3 - 3*h**2 - 2*h - 2. Let k be x(r). Let t = 18 - 6. Calculate the highest common factor of k and t.\n | 6\n | ibivibiv/math_instruct | |
Let d = -7 + 7. Let n = 22/5 + -204/35. Which is smaller: d or n?\n | n\n | ibivibiv/math_instruct | |
(5 - -5)/(5 + 3/(-1))\n | 5\n | ibivibiv/math_instruct | |
Solve -10*a + 688 = 76*a for a.\n | 8\n | ibivibiv/math_instruct | |
Is 210 less than or equal to 2.03239?\n | False\n | ibivibiv/math_instruct | |
Find the second derivative of 5*s**4 - 3*s**3 - 1582*s**2 - 560*s + 115 wrt s.\n | 60*s**2 - 18*s - 3164\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 15 and 51055.\n | 5\n | ibivibiv/math_instruct | |
What is the common denominator of 137/1164 and -163/32010?\n | 64020\n | ibivibiv/math_instruct | |
Suppose -2*l - 3*l + 5 = 0. Let i(x) be the third derivative of x**3/6 + 392*x**2 + 2. Let v(h) = -2*h - 3. Determine l*v(f) + 2*i(f).\n | -2*f - 1\n | ibivibiv/math_instruct | |
List the prime factors of 1274.\n | 2, 7, 13\n | ibivibiv/math_instruct | |
Suppose -5*c + 3*m + 5 = 2, 5*c = -5*m - 5. Suppose c = -4*a - a + 4*q + 40, -35 = -5*a + 3*q. Solve -5*i = -20, -d + i + a = 2*i for d.\n | 0\n | ibivibiv/math_instruct | |
Let j(n) = -9 + n**2 + 2*n**3 + 6*n + 2 - n**3 - 5*n**2. Let w be j(3). Suppose w*m - 171 = -m. Is m a prime number?\n | False\n | ibivibiv/math_instruct | |
Let l be 3*10/(-12)*-24. Is 15 a factor of (l/9)/(10/855)?\n | True\n | ibivibiv/math_instruct | |
How many millilitres are there in 11/2 of a litre?\n | 5500\n | ibivibiv/math_instruct | |
b"What is the kth term of 1697692, 1697625, 1697512, 1697353, 1697148?\n" | -23*k**2 + 2*k + 1697713\n | ibivibiv/math_instruct | |
Evaluate 27 + (-4 - 16) + (-9 - 1) - 4.\n | -7\n | ibivibiv/math_instruct | |
What is the nearest to 0 in -4, -7, 3, 0.8?\n | 0.8\n | ibivibiv/math_instruct | |
Let h(w) = w**2 + w + 1. Let x(j) = 4*j**2 + j + 1. Let z(u) = -3*h(u) + 3*x(u). Let b(g) = 6*g. Calculate z(b(q)).\n | 324*q**2\n | ibivibiv/math_instruct | |
Let x(k) = -2*k**2 - 3*k - 5. Let r be x(-2). Let i be (2/(-1))/((-1)/(-3)). Is r >= i?\n | False\n | ibivibiv/math_instruct | |
-5 - (6 + -1 + -6)\n | -4\n | ibivibiv/math_instruct | |
Simplify ((h**0*h**3*h)**(3/2))**(-3) assuming h is positive.\n | h**(-18)\n | ibivibiv/math_instruct | |
Solve f - r - 3 = 0, 2*f + 9*r - 14*r - 21 = 0 for f.\n | -2\n | ibivibiv/math_instruct | |
What is -353298 + 50?\n | -353248\n | ibivibiv/math_instruct | |
Work out 0.24 * 72.\n | 17.28\n | ibivibiv/math_instruct | |
What is the result of the following expression?
24.858 - -35.8295 | 60.6875 | ibivibiv/math_instruct | |
Which is the nearest to -5/9? (a) 3 (b) 22 (c) -19 (d) -2/31\n | d\n | ibivibiv/math_instruct | |
Calculate (8/(-6))/(((-4)/(-14))/((-192)/896)).\n | 1\n | ibivibiv/math_instruct | |
What is the second derivative of 19*n*y*z**3 + 3617*n*y*z**2 - 2*n*y + 3*n*z**3 - 5*n*z + n + 43705*y - z wrt z?\n | 114*n*y*z + 7234*n*y + 18*n*z\n | ibivibiv/math_instruct | |
List the prime factors of 649788.\n | 2, 3, 173, 313\n | ibivibiv/math_instruct | |
Is 8237575 a multiple of 1877?\n | False\n | ibivibiv/math_instruct | |
Let t = 1930/21 + -92. Let a = -63 - -59. Let f(l) = l**2 + 5*l + 4. Let z be f(a). Is z greater than or equal to t?\n | True\n | ibivibiv/math_instruct | |
Convert 264324 (base 8) to base 16.\n | 168d4\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {u: 5, z: 5, x: 1}. Give prob of picking 3 u and 1 x.\n | 1/33\n | ibivibiv/math_instruct | |
Suppose -n + 2*s = 8, 4*n + s = 2*s - 11. What are the prime factors of 25/(n - -1)*-3?\n | 3, 5\n | ibivibiv/math_instruct | |
Expand (0 - 6 + 4)*(-3*q + 3*q + 3*q**2) - 7*q**2 + q**2 + 8*q**2 - 5*q**2 + 3*q**2 + 5*q**2.\n | -q**2\n | ibivibiv/math_instruct | |
Calculate the remainder when 104643853 is divided by 428.\n | 421\n | ibivibiv/math_instruct | |
Let j(h) = -8921*h + 190. What is the thousands digit of j(-3)?\n | 6\n | ibivibiv/math_instruct | |
Expand (-3*m + 3*m - 4*m)*((-4*m + 2*m + 4*m)*(-2 - 2 + 11)*(-3*m + 3*m - m) + (-6*m**2 - 3*m**2 + 0*m**2)*(-2 + 1 + 4)).\n | 164*m**3\n | ibivibiv/math_instruct | |
Is 5983939 a multiple of 252?\n | False\n | ibivibiv/math_instruct | |
Is 1933974323 a prime number?\n | True\n | ibivibiv/math_instruct | |
Suppose -j = 25 - 40. Solve 0 = -4*m + 5 + j for m.\n | 5\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 2018942282?\n | 4\n | ibivibiv/math_instruct | |
Is 9222476831 prime?\n | False\n | ibivibiv/math_instruct | |
Let q = 41 + -21. Suppose 0*r = -3*r + 3*d + 30, 0 = -5*d - q. Let x be -5 + 5 + (-24)/8. Put r, 4, x in descending order.\n | r, 4, x\n | ibivibiv/math_instruct | |
Evaluate ((-448)/392)/(((-2)/(-12))/(210/(-40))).\n | 36\n | ibivibiv/math_instruct | |
Put together -1 and 1972978146.\n | 1972978145\n | ibivibiv/math_instruct | |
Let v(n) = -3*n - 48. Let h be v(-16). Let a be 2/2*-1*(-2 + h). Solve 8*b - a*b = 2*b for b.\n | 0\n | ibivibiv/math_instruct | |
Evaluate ((-25)/1650)/(35/(-2730)) + 1*-5.\n | -42/11\n | ibivibiv/math_instruct | |
Rearrange -2040*c - 1942*c - 29*c to u*c + l and give u.\n | -4011\n | ibivibiv/math_instruct | |
Let j(t) = -t**3 + 10*t**2 + 9*t + 10. Let x(k) = 2*k**2 - k - 5. Let z be x(3). What is the tens digit of j(z)?\n | 0\n | ibivibiv/math_instruct | |
Suppose -3*m + 2*m - 9 = -2*k, -3*k = -3. Let v = 9 + m. Suppose -6 + v = -2*u. Solve -4 + u = -b for b.\n | 2\n | ibivibiv/math_instruct | |
Expand (24*a**3 + 24*a**2 - 24*a**2)*((4*a - 4*a - a)*(-2 + 5 - 1) - 3*a - 2*a - 5*a + (-3 + 3 + a)*(-5 + 0 + 3)).\n | -336*a**4\n | ibivibiv/math_instruct | |
Let o(u) be the second derivative of -5*u**4/12 - 3*u**2 + 13*u + 2. Let f(n) = 14*n**2 + 17. Determine -6*f(g) - 17*o(g).\n | g**2\n | ibivibiv/math_instruct | |
What is the units digit of (-2 - -6049) + 0/(8*1/4)?\n | 7\n | ibivibiv/math_instruct | |
In base 8, what is 234 + -16?\n | 216\n | ibivibiv/math_instruct | |
How many minutes are there between 10:39 AM and 2:01 PM?\n | 202\n | ibivibiv/math_instruct | |
Let r be 1/(((-27)/(-42))/9). Suppose g + g - r = 0. Does 5 divide g?\n | False\n | ibivibiv/math_instruct | |
Let o = 1.96 + 0.04. Let r = -18.4 + 18. What is the biggest value in r, o, -2?\n | o\n | ibivibiv/math_instruct | |
Let h(u) = 38733794 - 23*u - 38733794. Let k(s) be the third derivative of -s**4/12 + 2*s**2. Determine k(h(x)).\n | 46*x\n | ibivibiv/math_instruct | |
Convert 1740 (base 10) to base 15.\n | 7b0\n | ibivibiv/math_instruct | |
Let v = -0.92 - 0.08. Which is greater: 9 or v?\n | 9\n | ibivibiv/math_instruct | |
In base 9, what is 210721 + 87?\n | 210818\n | ibivibiv/math_instruct | |
What is 8.265 times -0.003?\n | -0.024795\n | ibivibiv/math_instruct | |
Find the second derivative of 14*m**3 + 14*m**2 + 412*m.\n | 84*m + 28\n | ibivibiv/math_instruct | |
Which is smaller: -2/3 or -138?\n | -138\n | ibivibiv/math_instruct | |
Express (-v**2 - 2*v**2 + v**2)*(2*v + 3 - 3) - v + 122*v**3 + 4*v - 83*v**3 as m*v + g*v**2 + q + s*v**3 and give s.\n | 35\n | ibivibiv/math_instruct | |
Let g(m) = -2*m**3 + 7*m**2 - m - 3. Give g(3).\n | 3\n | ibivibiv/math_instruct | |
Let a(r) = -3*r + 55. Let s be a(5). Suppose -5*h**4 + h**5 + s*h - 260*h**3 - 262*h**3 + 25*h**2 + 16 + 517*h**3 = 0. Calculate h.\n | -1, 4\n | ibivibiv/math_instruct | |
Find the common denominator of -37/331485 and 40/627766293.\n | 3138831465\n | ibivibiv/math_instruct | |
Let o = -402 + 403. Let s = -1153/5 - -229. Which is the closest to 3? (a) 2 (b) s (c) o\n | a\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 118284 and 9?\n | 354852\n | ibivibiv/math_instruct | |
Calculate 2954*4.\n | 11816\n | ibivibiv/math_instruct | |
Let g(h) = h - 5. Let u be g(8). Let o(p) = p**3 + p**2 - p + 1. Let z be o(1). Suppose z*a = a + 21. Calculate the highest common factor of u and a.\n | 3\n | ibivibiv/math_instruct | |
Let x(a) = -a**3 + 2*a**2. Is 5 a factor of x(-2)?\n | False\n | ibivibiv/math_instruct | |
Suppose 19 - 4 = -3*u, 3*n + 2*u - 74 = 0. Suppose 3*x = 26 + n. Is x a multiple of 8?\n | False\n | ibivibiv/math_instruct | |
Let v be (-101)/(-1919)*(-38)/(-12). Which is the nearest to -22? (a) 5 (b) -3 (c) v\n | b\n | ibivibiv/math_instruct | |
What is -0.00134381 rounded to five decimal places?\n | -0.00134\n | ibivibiv/math_instruct | |
Suppose g = 8 - 3. Find the third derivative of 15*v**g + v**2 - 10*v**5 + 3*v**2 wrt v.\n | 300*v**2\n | ibivibiv/math_instruct | |
Let y(a) = 4*a**2 + a + 13. Let o be y(-9). Let p(w) = -w + 13. Let n be p(6). Let l be 2/n + o/28. What is the highest common factor of 96 and l?\n | 12\n | ibivibiv/math_instruct | |
Suppose -2*g + 4 = 0, 5*p - 2*p = -g + 5. Let f be (3 - 8/4)/(p/2492). Suppose -2492 = -4*d + 2*x, -4*d + 3*x - 6*x = -f. Is d a composite number?\n | True\n | ibivibiv/math_instruct | |
Let p = -26 - -59. Let x = -430 - -465.7. Let j = x - p. What is j rounded to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Let g be (-33)/(-4)*(8 - (-64)/24). Calculate the highest common factor of 8 and g.\n | 8\n | ibivibiv/math_instruct | |
Work out -8 - -379414019765.\n | 379414019757\n | ibivibiv/math_instruct | |
Work out 158.6 * 2.\n | 317.2\n | ibivibiv/math_instruct | |
What are the prime factors of 12433?\n | 12433\n | ibivibiv/math_instruct | |
Let b(x) = -112*x**2 - 114*x + 330. Give b(3).\n | -1020\n | ibivibiv/math_instruct | |
What are the prime factors of 35324?\n | 2, 8831\n | ibivibiv/math_instruct | |
Evaluate -16*(-9)/((-9)/4)*(-51)/204.\n | 16\n | ibivibiv/math_instruct | |
What is next in -39, -192, -461, -846?\n | -1347\n | ibivibiv/math_instruct | |
What is -138b92 (base 12) in base 5?\n | -40422213\n | ibivibiv/math_instruct | |
Let b = 2/695342549 + -5827665911989/3066460641090. Let d = b - 38/245. What is the common denominator of d and -41/10?\n | 90\n | ibivibiv/math_instruct | |
-8 divided by -349\n | 8/349\n | ibivibiv/math_instruct |
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