instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
List the prime factors of 5704.\n | 2, 23, 31\n | ibivibiv/math_instruct | |
Expand (-360 - 680 + 767)*(-p + 2*p - 5*p) + 16 - 16 - 5*p.\n | 1087*p\n | ibivibiv/math_instruct | |
Collect the terms in 331*c**2 + 517*c**3 - 331*c**2 - 522*c**3 - 9*c.\n | -5*c**3 - 9*c\n | ibivibiv/math_instruct | |
Let z(m) be the first derivative of 2*m**3 - 1. Let f(u) be the third derivative of u**5/30 - 8*u**2. Give f(z(p)).\n | 72*p**4\n | ibivibiv/math_instruct | |
What is 106a1 (base 16) in base 6?\n | 1235133\n | ibivibiv/math_instruct | |
Suppose 70*h = 70 + 140. What is the remainder when 17 is divided by h?\n | 2\n | ibivibiv/math_instruct | |
-17 divided by 176\n | -17/176\n | ibivibiv/math_instruct | |
Let a = 12.34 + -1.14. Let r = 0.2 - a. Let z = -11.2 - r. Which is smaller: z or -3?\n | -3\n | ibivibiv/math_instruct | |
Let w = 15 + -9. Let g(z) = w + z - 3*z + 0*z - 8. Determine g(-3).\n | 4\n | ibivibiv/math_instruct | |
Express 4*x + 2 + 1 + 0*x + 6*x**4 + x**2 - 3*x as p*x**4 + h + y*x**3 + w*x + d*x**2 and give d.\n | 1\n | ibivibiv/math_instruct | |
What is 2/11 + (-54405)/274846?\n | -1/62\n | ibivibiv/math_instruct | |
Let n(m) = 57*m**2 + 4821*m + 4822. Determine n(-1).\n | 58\n | ibivibiv/math_instruct | |
Let g = 1516 - 1497. Solve -10*v = -g*v + 63 for v.\n | 7\n | ibivibiv/math_instruct | |
In base 7, what is -2 + 4?\n | 2\n | ibivibiv/math_instruct | |
What is the next term in -10, -15, -32, -67, -126, -215, -340, -507?\n | -722\n | ibivibiv/math_instruct | |
How many minutes are there between 6:34 PM and 2:22 AM?\n | 468\n | ibivibiv/math_instruct | |
Factor 2*d**3/7 + 1326*d**2/7 + 293046*d/7 + 21587722/7.\n | 2*(d + 221)**3/7\n | ibivibiv/math_instruct | |
What is the next term in -1126, -4255, -9476, -16795, -26218, -37751, -51400, -67171?\n | -85070\n | ibivibiv/math_instruct | |
Rearrange 626*y**2 + 531*y**2 - 392*y**2 to the form m*y + j + r*y**2 and give r.\n | 765\n | ibivibiv/math_instruct | |
Let u be (0/(-5) + 20)/((-1)/14675). What is u rounded to the nearest 10000?\n | -290000\n | ibivibiv/math_instruct | |
Simplify (q**2*q**6)**26 assuming q is positive.\n | q**208\n | ibivibiv/math_instruct | |
What is prob of picking 2 b when two letters picked without replacement from uubb?\n | 1/6\n | ibivibiv/math_instruct | |
Let d(t) = t**2 - 13*t + 35. Let w be d(3). Let h(q) = 6 + 9 - 3*q + 7. Let v be h(6). Put w, v, -5, -10 in ascending order.\n | -10, -5, v, w\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 7 and 380.\n | 2660\n | ibivibiv/math_instruct | |
What is 29190724 to the power of 1/2, to the nearest integer?\n | 5403\n | ibivibiv/math_instruct | |
List the prime factors of 343998471.\n | 3, 2897, 39581\n | ibivibiv/math_instruct | |
Put 0, 4, -31 in descending order.\n | 4, 0, -31\n | ibivibiv/math_instruct | |
Solve 5*v**5 - 580*v**4 - 6800*v**3 - 23270*v**2 - 28485*v - 11430 = 0 for v.\n | -6, -3, -1, 127\n | ibivibiv/math_instruct | |
Let h(y) = -8*y**3 - 7*y**2 + 28*y + 35. Determine h(-2).\n | 15\n | ibivibiv/math_instruct | |
In base 9, what is 208 - 77?\n | 121\n | ibivibiv/math_instruct | |
-8.3 times 14\n | -116.2\n | ibivibiv/math_instruct | |
Does 251 divide 7471015?\n | True\n | ibivibiv/math_instruct | |
What is ((-374)/2805)/(((-2)/6)/((-10)/15))?\n | -4/15\n | ibivibiv/math_instruct | |
Which is smaller: -22.4629 or 6?\n | -22.4629\n | ibivibiv/math_instruct | |
What is -2277 - -2248 - (-31 - -2)?\n | 0\n | ibivibiv/math_instruct | |
Calculate 110764550506 + 5.\n | 110764550511\n | ibivibiv/math_instruct | |
Multiply 49.8 and -5.\n | -249\n | ibivibiv/math_instruct | |
Let f = 338 + -336.6. Let i = f - 7.4. Which is the third biggest value? (a) i (b) 0 (c) 4\n | a\n | ibivibiv/math_instruct | |
Sort 1, -4, -12, -11, 0.\n | -12, -11, -4, 0, 1\n | ibivibiv/math_instruct | |
What is the third derivative of 1561*j*n**4 + 6*j*n**2 - 1484*j + 16*n**5 + 4 wrt n?\n | 37464*j*n + 960*n**2\n | ibivibiv/math_instruct | |
Collect the terms in -2 + 51*t**2 - 118*t**2 + 2 + 64*t**2.\n | -3*t**2\n | ibivibiv/math_instruct | |
Let f = 9 + -13. Let y(a) = -a. Let h(n) be the first derivative of -n**5/40 + n**3/3 + 2. Let s(i) be the third derivative of h(i). Determine f*y(k) + s(k).\n | k\n | ibivibiv/math_instruct | |
Simplify 1 + (((-3*sqrt(4400) + sqrt(4400) + sqrt(44) + sqrt(44))/sqrt(4)*-2 + -4)*-2 + -1)*-5.\n | -34 + 360*sqrt(11)\n | ibivibiv/math_instruct | |
Expand (-4*m**3 + 4*m**3 + 2*m**3)*(-4*m**2 + 8*m**2 + 15*m**2)*(-2 + 0 + 0).\n | -76*m**5\n | ibivibiv/math_instruct | |
Let r(n) = -4*n + 2. Let x = 119 + -114. Give r(x).\n | -18\n | ibivibiv/math_instruct | |
Suppose -2*n + 154 + 241 = 5*o, -413 = -2*n + o. Is n a prime number?\n | False\n | ibivibiv/math_instruct | |
Simplify ((f**(1/2))**(1/28))**(-10/9)/((f/f**0)**(-3/7)*((f/((f**0*f)/f))/f*f)**(-41)) assuming f is positive.\n | f**(10435/252)\n | ibivibiv/math_instruct | |
What is the square root of 943836 to the nearest integer?\n | 972\n | ibivibiv/math_instruct | |
Let g be (4/3)/((-2)/3). Let h(r) = 23*r**2 + 5*r - 27. Let s(k) = 11*k**2 + 2*k - 13. Let b(w) = g*h(w) + 5*s(w). What is the derivative of b(v) wrt v?\n | 18*v\n | ibivibiv/math_instruct | |
Let m(k) = -3*k**2 - 1 + k**3 + k**3 + 9*k + 7*k - 5*k**2. What are the prime factors of m(6)?\n | 239\n | ibivibiv/math_instruct | |
Suppose -20 = -3*l - l. Let h(j) be the third derivative of -j**6/120 + j**5/15 + 5*j**4/24 + 5*j**3/6 + j**2. Calculate h(l).\n | 5\n | ibivibiv/math_instruct | |
What is -68351 + 3449?\n | -64902\n | ibivibiv/math_instruct | |
Let z be ((-12)/84)/(1/3). Which is the closest to -7? (a) 1 (b) z (c) -3/5\n | c\n | ibivibiv/math_instruct | |
Expand (2 + 2 - 3)*(-q + 0 + 0) - 2*q + 5 - 5 - 5 + 7*q - 2*q - 10*q + (-4*q + 3*q + 2*q)*(0 + 1 + 0) - 4 + 4 + q + 1 + 0 - 3*q + 4*q.\n | -5*q - 4\n | ibivibiv/math_instruct | |
Suppose 2*x - 9 = x - 4*s, -x - 3 = -2*s. Calculate the greatest common factor of 3 and x.\n | 1\n | ibivibiv/math_instruct | |
Let x = -0.3 - -0.2. Let i = 0.03 - -0.27. Let b = 0.7 - i. What is the nearest to x in 2, b, -2/7?\n | -2/7\n | ibivibiv/math_instruct | |
Is 1002217 a multiple of 71?\n | False\n | ibivibiv/math_instruct | |
What is 260 minutes before 6:24 AM?\n | 2:04 AM\n | ibivibiv/math_instruct | |
Let g(w) = -w**3 + 5*w**2 - 3*w + 7. Let l(z) be the third derivative of z**5/60 - z**4/24 + z**3/6 - 2*z**2. Calculate -g(f) + 5*l(f).\n | f**3 - 2*f - 2\n | ibivibiv/math_instruct | |
Determine f so that 4*f**5/7 - 324*f**4/7 - 91100*f**3/7 + 183780*f**2/7 + 91096*f/7 - 26208 = 0.\n | -117, -1, 1, 2, 196\n | ibivibiv/math_instruct | |
What are the prime factors of 504?\n | 2, 3, 7\n | ibivibiv/math_instruct | |
What is the next term in 127015, 253976, 380937?\n | 507898\n | ibivibiv/math_instruct | |
What is 39339 divided by 31?\n | 1269\n | ibivibiv/math_instruct | |
Suppose 3*a = 20 - 2. Suppose -2*h = v - 6*h - 8, 4*v = -3*h - a. Let n(m) = -m**3 + m**2 + 2*m + 9. What is the units digit of n(v)?\n | 9\n | ibivibiv/math_instruct | |
What are the prime factors of 4168?\n | 2, 521\n | ibivibiv/math_instruct | |
Suppose 396*x - 1650 = 374*x. Calculate the remainder when x is divided by 30.\n | 15\n | ibivibiv/math_instruct | |
Is 49 a factor of 637?\n | True\n | ibivibiv/math_instruct | |
How many months are there in 671.5708 millennia?\n | 8058849.6\n | ibivibiv/math_instruct | |
Let m(y) = -y. Let x(n) = 913*n**2 - 5*n. Let z(h) = -458*h**2 + 3*h. Let j(p) = -3*x(p) - 5*z(p). Determine m(j(i)).\n | 449*i**2\n | ibivibiv/math_instruct | |
What is 9.638 rounded to 1 dp?\n | 9.6\n | ibivibiv/math_instruct | |
Let y(q) = -51*q + 915. Let o be y(13). What is the greatest common factor of 672 and o?\n | 84\n | ibivibiv/math_instruct | |
Let p = 313 - 904. Let a = 594 + p. Let s = 0 + -1. What is the nearest to s in a, 1/2, -1/3?\n | -1/3\n | ibivibiv/math_instruct | |
Sort 77, -28, 1/6, 32.4, -6 in descending order.\n | 77, 32.4, 1/6, -6, -28\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 959941788?\n | 4\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 14 and 8918.\n | 14\n | ibivibiv/math_instruct | |
Let x = -763 + 1985. What is the units digit of x?\n | 2\n | ibivibiv/math_instruct | |
Let q = 15.7 - 12.7. What is the smallest value in q, 3/5, -0.1, -0.03?\n | -0.1\n | ibivibiv/math_instruct | |
Let n(q) = -q**3 + 17*q**2 + 22*q - 297. Calculate n(4).\n | -1\n | ibivibiv/math_instruct | |
Let j = 48426 - 28258. Does 91 divide j?\n | False\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 792 and 21.\n | 5544\n | ibivibiv/math_instruct | |
Suppose -5*g - 3*n = -708, 4*g + 128 = 5*g + 4*n. Let o = g + -140. Solve u = o*u + 9 for u.\n | -3\n | ibivibiv/math_instruct | |
Let s(c) = 9*c**2 + 368*c - 39. Let l be s(-41). Solve 12 = -2*h - 3*q + l, 0 = 4*h + 3*q + 14 for h.\n | -2\n | ibivibiv/math_instruct | |
Simplify o/(o/((o**(-21/4)/o)/o))*o*o**21*(o**(-2/7)/o*o)**(-38) assuming o is positive.\n | o**(717/28)\n | ibivibiv/math_instruct | |
Which is the second smallest value? (a) -2 (b) 5 (c) -753\n | a\n | ibivibiv/math_instruct | |
Suppose -170*y - 587 + 1403 + 714 = 0. What is the lowest common multiple of 4/12 - 86/(-3) and y?\n | 261\n | ibivibiv/math_instruct | |
Simplify sqrt(80) + -1.\n | -1 + 4*sqrt(5)\n | ibivibiv/math_instruct | |
Calculate ((-440)/(-20))/((-2464)/(-2240)).\n | 20\n | ibivibiv/math_instruct | |
Sort -1064/15, 2/9, -2/7, -0.1, 48 in ascending order.\n | -1064/15, -2/7, -0.1, 2/9, 48\n | ibivibiv/math_instruct | |
b"What is the gth term of 128451, 256909, 385365, 513819, 642271?\n" | -g**2 + 128461*g - 9\n | ibivibiv/math_instruct | |
Suppose 5 = -k - 2*x, 0 = -5*k + 2*x - 1 + 36. Let s(w) = w. Let y be s(1). What is the highest common divisor of y and k?\n | 1\n | ibivibiv/math_instruct | |
What is next in -232195, -464380, -696565, -928750, -1160935, -1393120?\n | -1625305\n | ibivibiv/math_instruct | |
Let j = -356 + 347.96. Let a = j + 8. Round a to 2 dps.\n | -0.04\n | ibivibiv/math_instruct | |
Let v(b) be the first derivative of b**8/840 - b**7/420 - b**6/180 + b**5/60 - 4*b**3/3 + 5. Let y(a) be the third derivative of v(a). Let y(d) = 0. What is d?\n | -1, 0, 1\n | ibivibiv/math_instruct | |
Let n(p) = 120*p + 45. Let o be (-32 + 2)/(4/6). Let v(m) = -11*m - 4. Let i(d) = o*v(d) - 4*n(d). Let w(g) = -6*g - 10*g + 14*g. Determine i(w(l)).\n | -30*l\n | ibivibiv/math_instruct | |
What is the hundreds digit of 52778?\n | 7\n | ibivibiv/math_instruct | |
Suppose 5 - 19 = -7*d. Solve -f = s, -3 = -2*s + d*f - 11 for s.\n | -2\n | ibivibiv/math_instruct | |
What is prob of sequence qcqc when four letters picked without replacement from {c: 2, q: 4}?\n | 1/15\n | ibivibiv/math_instruct | |
Does 21 divide 29812734?\n | True\n | ibivibiv/math_instruct | |
Let g = 42 + -15. What is the third derivative of 2*i - i**3 + 14*i**5 - 14*i**5 - g*i**2 + 17*i**6 + i**6 wrt i?\n | 2160*i**3 - 6\n | ibivibiv/math_instruct | |
Suppose 9*u - 156 = 7*u. Calculate the common denominator of -65/2 and (6/9)/(20/u).\n | 10\n | ibivibiv/math_instruct |
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