instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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|---|---|---|---|
Let g(j) be the second derivative of -j**6/720 + j**5/120 + j**4/4 + 7*j. Let l(z) be the third derivative of g(z). Let p(t) = t - 4. Calculate 4*l(h) + p(h).\n | -3*h\n | ibivibiv/math_instruct | |
Suppose 0 = -o + 4*o + 2*f - 10, -4*f = -2*o - 4. Differentiate o*k**2 + 4*k**2 + 7*k**2 - 11 - 9*k**2 with respect to k.\n | 8*k\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 87590 and 3470?\n | 10\n | ibivibiv/math_instruct | |
Let a be 17/((-136)/64) - -39. Solve 36*l - 5 = a*l for l.\n | 1\n | ibivibiv/math_instruct | |
Let b be 2/(-6)*(-10 + 13). Which is smaller: b or -18/11?\n | -18/11\n | ibivibiv/math_instruct | |
Suppose -4*z = -8*z + g + 1048, 0 = -5*z - g + 1319. What are the prime factors of z?\n | 263\n | ibivibiv/math_instruct | |
What is 56729426 to the power of 1/2, to the nearest integer?\n | 7532\n | ibivibiv/math_instruct | |
((4 - 4) + 0)/(-6 - (9 - 12))\n | 0\n | ibivibiv/math_instruct | |
Let n(t) = t - 7. Let h = -16 - -24. Let b be n(h). Let c(w) = -w**3 + w**2. Let u(v) = 7*v**3 - 3*v**2 - v + 1. Let d(g) = b*u(g) + 5*c(g). What is d(-2)?\n | -5\n | ibivibiv/math_instruct | |
Calculate the remainder when 371 is divided by 34.\n | 31\n | ibivibiv/math_instruct | |
Find o such that 3024*o**4 - 45657*o**3 + 147282*o**2 + 72036*o - 31560 = 0.\n | -2/3, 2/7, 263/48, 10\n | ibivibiv/math_instruct | |
Is 784 a factor of 1082361392?\n | True\n | ibivibiv/math_instruct | |
Let c(k) = -k**3 + 20*k**2 - 10*k - 18. Let x be c(19). Factor 151 - n + 15*n**3 - 304 + x - 55*n**2 + 31*n.\n | 5*n*(n - 3)*(3*n - 2)\n | ibivibiv/math_instruct | |
Let r = 35 - 26. Let x be 2/r + (-4)/(216/91067826). Let y = -2666441 - x. What is y rounded to the nearest 100000?\n | -1000000\n | ibivibiv/math_instruct | |
Collect the terms in 191022388*u + 80*u**3 - 191022388*u.\n | 80*u**3\n | ibivibiv/math_instruct | |
Suppose 4*g - 4*v - 32 = -0*v, 5*v - 51 = -2*g. Suppose -4*l + g = -2*a + a, 0 = -2*l - 5*a - 21. Solve 4*j + y = 11, 4*j - y - 7 = l*j for j.\n | 3\n | ibivibiv/math_instruct | |
Calculate the remainder when 1138289 is divided by 77.\n | 75\n | ibivibiv/math_instruct | |
What is (11/22)/((-171)/76)?\n | -2/9\n | ibivibiv/math_instruct | |
Suppose t = -2*t - 4*a + 17, -5*t + 5 = -5*a. Let j be ((-4)/t)/(4/(-102)). Suppose 3*f + 2*p = -34, -396 = 4*f + 3*p - 347. Put 3, 2, j, f in decreasing order.\n | j, 3, 2, f\n | ibivibiv/math_instruct | |
Evaluate 6 - 2 - (25 - 13 - 19).\n | 11\n | ibivibiv/math_instruct | |
Calculate 16 + (-41 - (11 + -28)).\n | -8\n | ibivibiv/math_instruct | |
Find the second derivative of 8*h**2 + 17*h**2 - 14*h + 7*h wrt h.\n | 50\n | ibivibiv/math_instruct | |
Factor -5*y**3 + 20605*y**2 - 21238600*y + 21218000.\n | -5*(y - 2060)**2*(y - 1)\n | ibivibiv/math_instruct | |
What is prob of picking 3 j and 1 u when four letters picked without replacement from ujjuuuijuuuujujuu?\n | 11/238\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) -5 (b) -22/9 (c) -6 (d) -40 (e) -2/3\n | d\n | ibivibiv/math_instruct | |
What is the square root of 86839925 to the nearest integer?\n | 9319\n | ibivibiv/math_instruct | |
What is (-385)/165*765/(-238)?\n | 15/2\n | ibivibiv/math_instruct | |
Let y = 1273.238 + 0.762. Let l = y - 1273.457. What is l rounded to one decimal place?\n | 0.5\n | ibivibiv/math_instruct | |
Simplify -4*((sqrt(300) + (sqrt(300) + sqrt(300)*1 - sqrt(300)))/sqrt(6)*3)/((sqrt(1960) - sqrt(40))*-1).\n | 2*sqrt(5)\n | ibivibiv/math_instruct | |
b"What is the mth term of 41027, 41024, 41021, 41018, 41015?\n" | -3*m + 41030\n | ibivibiv/math_instruct | |
Sort 2, -5, 1/149349, -2/7, -0.5 in decreasing order.\n | 2, 1/149349, -2/7, -0.5, -5\n | ibivibiv/math_instruct | |
If Spencer jumps rope 4 times per minute during a 10-minute session and does 2 sessions each day, how many jumps will he do in a span of 5 days? | Spencer jumps rope 4 times per minute during a 10-minute session, so he does 4 x 10 = 40 jumps in one session.
He does 2 sessions each day, so he does a total of 40 x 2 = 80 jumps per day.
In 5 days, he will do 80 x 5 = 400 jumps.
#### 400
The answer is: 400 | ibivibiv/math_instruct | |
Find r, given that -4*r**2 - 8201904*r - 4204451826576 = 0.\n | -1025238\n | ibivibiv/math_instruct | |
What is the highest common factor of 74 and 481?\n | 37\n | ibivibiv/math_instruct | |
Convert 1551534 (base 6) to base 11.\n | 634a1\n | ibivibiv/math_instruct | |
Calculate the remainder when 2742301 is divided by 487.\n | 4\n | ibivibiv/math_instruct | |
Solve -52*t + 163 = -15*t - 24*t - 19 for t.\n | 14\n | ibivibiv/math_instruct | |
What is 62961 to the power of 1/2, to the nearest integer?\n | 251\n | ibivibiv/math_instruct | |
Multiply -22 and 684044.\n | -15048968\n | ibivibiv/math_instruct | |
Let v = 16627 - 25806. Let f = v + 17179. Let t be ((-612)/24)/((-6)/f). Round t to the nearest one thousand.\n | 34000\n | ibivibiv/math_instruct | |
How many kilograms are there in 21/2 of a tonne?\n | 10500\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 48 and 144.\n | 144\n | ibivibiv/math_instruct | |
Collect the terms in -5*w**2 - 17*w**2 - 11*w**2 - 8*w**2 - 206*w**2 + 244*w**2.\n | -3*w**2\n | ibivibiv/math_instruct | |
Solve a + 3*p = -17, 39*p + 68 - 1 = a for a.\n | -11\n | ibivibiv/math_instruct | |
Let a(j) be the second derivative of j**6/165 - 35*j**5/11 + 30625*j**4/66 + 2642*j. Factor a(f).\n | 2*f**2*(f - 175)**2/11\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 74592 and 252.\n | 74592\n | ibivibiv/math_instruct | |
What is 74/3 of a decade in months?\n | 2960\n | ibivibiv/math_instruct | |
Let b(r) = -r**2 - 13*r - 6. Let o be b(-13). Let y(k) = k**2 + 5*k + 14. Let h be y(o). Calculate the highest common divisor of 5 and h.\n | 5\n | ibivibiv/math_instruct | |
What is -51aa114 (base 12) in base 6?\n | -1310052424\n | ibivibiv/math_instruct | |
Let z(t) = -t**3 + 7*t**2 - 7*t + 7. Let l be z(6). Let o be l*3 - (0 + -1). Solve -o*m - 9 = 7 for m.\n | -4\n | ibivibiv/math_instruct | |
Let y(x) = -x**3 - 28*x**2 - 173*x + 65. Determine y(-10).\n | -5\n | ibivibiv/math_instruct | |
What comes next: 20727, 43041, 65353, 87663, 109971, 132277, 154581?\n | 176883\n | ibivibiv/math_instruct | |
What is the smallest common multiple of 7140 and 1734?\n | 121380\n | ibivibiv/math_instruct | |
Suppose 2*w - 4*l - 8 = 0, 4*w = -6*l + l + 55. Does 10 divide w?\n | True\n | ibivibiv/math_instruct | |
Expand (5*c**2 + 3*c**2 + c**2)*(6*c - 2*c + 8*c)*(3 + 1 - 2).\n | 216*c**3\n | ibivibiv/math_instruct | |
Suppose 0 = 8*d - 5*d - 9. Suppose 3*h = -5*i + 34 + 15, 2*h = 2*i - 26. Factor -4*r**3 - 16*r**d + i*r**2 - 2*r**4 + 7*r**4 + 9*r**2.\n | 5*r**2*(r - 2)**2\n | ibivibiv/math_instruct | |
Calculate (41/(-5) - -1)/(3370/(-50) - -67).\n | 18\n | ibivibiv/math_instruct | |
In base 16, what is -e1 + 3e?\n | -a3\n | ibivibiv/math_instruct | |
Solve 111*h - 107*h - 108 = 3*g - 131, 2*g + 3 = -h for h.\n | -5\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 1604431 and 1957.\n | 103\n | ibivibiv/math_instruct | |
Suppose -4*v + 0 = 2*r + 16, 0 = 4*r - 3*v - 12. Suppose 0 = c + 4*t - 55, r*t = 5*c - 4*t - 347. Suppose -c = -4*f - 15. List the prime factors of f.\n | 13\n | ibivibiv/math_instruct | |
List the prime factors of 425458.\n | 2, 11, 83, 233\n | ibivibiv/math_instruct | |
Let p = 245233868.999659 + -245233374. Let g = p + -495. Round g to 5 dps.\n | -0.00034\n | ibivibiv/math_instruct | |
What is prob of sequence rlqj when four letters picked without replacement from {j: 1, q: 1, e: 1, r: 1, l: 1}?\n | 1/120\n | ibivibiv/math_instruct | |
What is the result of the following expression?
17.498 * -12.849 | -224.832 | ibivibiv/math_instruct | |
What is 3/5 of a millennium in years?\n | 600\n | ibivibiv/math_instruct | |
What is the tens digit of 165185?\n | 8\n | ibivibiv/math_instruct | |
What is 4/6*(-960)/(-10880) - (-1328)/(-34)?\n | -39\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 363276?\n | 6\n | ibivibiv/math_instruct | |
Calculate (825/220)/(3/(-12)).\n | -15\n | ibivibiv/math_instruct | |
Calculate the remainder when 11110 is divided by 925.\n | 10\n | ibivibiv/math_instruct | |
Let c(l) = -3*l + 11. Let d = -3 + -5. Let x be c(d). Suppose 5*y - x = -0*y. What are the prime factors of y?\n | 7\n | ibivibiv/math_instruct | |
Let q = -18909 + 38157. Calculate the highest common factor of q and 96.\n | 48\n | ibivibiv/math_instruct | |
Suppose 0 = -5*j - 4*u - 4, 0 = 2*u - 8. What is the biggest value in -2/3, -3, j?\n | -2/3\n | ibivibiv/math_instruct | |
Let f(c) be the second derivative of 0*c**3 + 0*c**2 - 2/9*c**6 + 10/3*c**5 + 1/189*c**7 - 500/27*c**4 - 2 + 52*c. Factor f(k).\n | 2*k**2*(k - 10)**3/9\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 137587?\n | 1\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 18 and 1687761.\n | 9\n | ibivibiv/math_instruct | |
Calculate (-6)/14*147/(-567)*-6.\n | -2/3\n | ibivibiv/math_instruct | |
Factor 616*t - 181*t**3 + 0*t**4 - 4*t**4 + 360*t**3 - 1236*t**2 + 114*t**3 + 331*t**3.\n | -4*t*(t - 154)*(t - 1)**2\n | ibivibiv/math_instruct | |
b"What is the pth term of -266538, -266528, -266482, -266382, -266210, -265948, -265578?\n" | 3*p**3 - 11*p - 266530\n | ibivibiv/math_instruct | |
Which is the closest to 2? (a) 1 (b) 0.01 (c) -1/13\n | a\n | ibivibiv/math_instruct | |
Differentiate -62*r**3*v*z**2 + 5*r**3*z**2 - 2*r**2*v*z**2 - 10*r*z**2 wrt v.\n | -62*r**3*z**2 - 2*r**2*z**2\n | ibivibiv/math_instruct | |
Collect the terms in 17*z**2 - 2*z + 2*z - 309*z**2.\n | -292*z**2\n | ibivibiv/math_instruct | |
Suppose g = l - 0*g + 2199999, -4*g = -2*l - 4399990. Let m be l - ((-18)/(-2))/(-3). What is m rounded to the nearest 1000000?\n | -2000000\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-17.4467 + 24.6149) * -82.8821 | -594.1155 | ibivibiv/math_instruct | |
Let o = -2072 + 1072. Let g = o - -1787. Is g composite?\n | False\n | ibivibiv/math_instruct | |
Collect the terms in 1500*s**2 + 1 + 18 - 5 - 14.\n | 1500*s**2\n | ibivibiv/math_instruct | |
Express 10*x + 28 + x - 86 - 9*x in the form o*x + a and give a.\n | -58\n | ibivibiv/math_instruct | |
Let u = 1 + 67. Suppose -5*c - 2*z = -74, 4*z - u = -5*c - 0*c. Let p = c - 6. Is 10 a factor of p?\n | True\n | ibivibiv/math_instruct | |
Is ((0 - -2309)*1/(-2))/(922/(-352204)) prime?\n | False\n | ibivibiv/math_instruct | |
Suppose 356 = 15*p + 86. Let n be 6*(4 + (-60)/p). Let l = -1 + 3. Solve -n*u + 3 = -0*u + 5*g, l*u - g + 9 = 0 for u.\n | -3\n | ibivibiv/math_instruct | |
Let c(v) = -2*v**2 + 103*v - 1294. What is c(30)?\n | -4\n | ibivibiv/math_instruct | |
Find m such that -55*m**3 - 61*m**2 + 47844*m + 5220 = 0.\n | -30, -6/55, 29\n | ibivibiv/math_instruct | |
Let w = 0.16 + 6.37. Let t = w + -4.43. What is the third biggest value in t, -1, -0.08?\n | -1\n | ibivibiv/math_instruct | |
Does 7 divide 57961?\n | False\n | ibivibiv/math_instruct | |
What is the hundreds digit of 2187?\n | 1\n | ibivibiv/math_instruct | |
Let d = 57 - 53. What is the third derivative of -21 + 4*w**d - 3*w**2 - 3*w**4 + 4*w**2 + 5*w**6 + 77 wrt w?\n | 600*w**3 + 24*w\n | ibivibiv/math_instruct | |
What is the next term in -78888, -315582, -710072, -1262358, -1972440?\n | -2840318\n | ibivibiv/math_instruct | |
Is 216541 at least -5?\n | True\n | ibivibiv/math_instruct | |
Differentiate -185*p*r + 2809*p + 7*r + 1 with respect to r.\n | -185*p + 7\n | ibivibiv/math_instruct |
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