instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let p(t) = 6*t**2 - 2*t + 4. Let w be p(3). Let k(g) = 4*g**2 - 21*g - 67. Let n be k(7). Let l = n + w. List the prime factors of l.\n | 2, 17\n | ibivibiv/math_instruct | |
Simplify ((q/(q*q**(-10/9)*q))**(-3/7)*q**(-2/11)*q/((q**(9/8)*q)/q))**(-4/21) assuming q is positive.\n | q**(655/9702)\n | ibivibiv/math_instruct | |
Solve -5869*q - 2728 = 3141 for q.\n | -1\n | ibivibiv/math_instruct | |
Is 20058720763 prime?\n | False\n | ibivibiv/math_instruct | |
What comes next: 848, 1721, 2594, 3467?\n | 4340\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) 0.2 (b) -1 (c) 1.8 (d) -8/3 (e) -28 (f) 1/6\n | c\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) -51 (b) 0.77 (c) -24 (d) 0.3\n | a\n | ibivibiv/math_instruct | |
b"What is the ath term of -4448057, -4448054, -4448051?\n" | 3*a - 4448060\n | ibivibiv/math_instruct | |
Let y(z) = -31*z**2 + 9*z**2 - 3 + 11*z**2 + 21*z + 8*z**2 - 1. Suppose 2*n = -2*w + 16, -3*n - n = -3*w + 10. What is the tens digit of y(w)?\n | 1\n | ibivibiv/math_instruct | |
Calculate the remainder when (-128)/60 - -2 - 57470/(-150) is divided by 55.\n | 53\n | ibivibiv/math_instruct | |
Is 6 a factor of 66?\n | True\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 209847?\n | 0\n | ibivibiv/math_instruct | |
Express 6737 - 50*r**2 + r**4 - 29*r**2 + 10*r**2 + 13*r**2 + 2*r**3 - 6736 in the form w*r**3 + y*r**4 + q*r + f + k*r**2 and give w.\n | 2\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 16359259?\n | 5\n | ibivibiv/math_instruct | |
Solve 210*c + 13572 = -138*c for c.\n | -39\n | ibivibiv/math_instruct | |
What is twenty-seven quarters of a litre in millilitres?\n | 6750\n | ibivibiv/math_instruct | |
Calculate (7/(819/(-13)))/((-1)/(-3)).\n | -1/3\n | ibivibiv/math_instruct | |
Simplify (-5*sqrt(76)*2)**2 - (sqrt(76) + -2 + -2*sqrt(76)).\n | 2*sqrt(19) + 7602\n | ibivibiv/math_instruct | |
Suppose -5*a + 161 + 54 = 0. Let w = a + -12. What is the units digit of w?\n | 1\n | ibivibiv/math_instruct | |
Express 13*g**2 - 89*g - 13*g**2 + g**2 as s*g**2 + z + p*g and give s.\n | 1\n | ibivibiv/math_instruct | |
Suppose -4*z = -3*z - 5*g + 18, 0 = 2*g. Let l be z/(-10) - 2/(-10). Suppose -b = -5*m + 82, -3*m + m + 28 = l*b. What are the prime factors of m?\n | 2\n | ibivibiv/math_instruct | |
b"What is the th term of -639, -2535, -5693, -10113, -15795?\n" | -631*b**2 - 3*b - 5\n | ibivibiv/math_instruct | |
Let o be (11 - 250)*(1 - 0). Let w = 370 + o. Is w prime?\n | True\n | ibivibiv/math_instruct | |
In base 3, what is -112200020 - -1?\n | -112200012\n | ibivibiv/math_instruct | |
Is 31957 a composite number?\n | False\n | ibivibiv/math_instruct | |
Collect the terms in -32*y + 32*y - 31951*y**3.\n | -31951*y**3\n | ibivibiv/math_instruct | |
Find n, given that n**3/4 - 27655*n**2/4 + 13364687*n/4 - 13337033/4 = 0.\n | 1, 491, 27163\n | ibivibiv/math_instruct | |
Let o(l) = 20*l + 55. What is the tens digit of o(24)?\n | 3\n | ibivibiv/math_instruct | |
Suppose 116*x - 525 = 983. Solve 5*f = 8*q - 5*q + x, 4*q - 5*f = -9 for q.\n | 4\n | ibivibiv/math_instruct | |
What is the fourth root of 22379978 to the nearest integer?\n | 69\n | ibivibiv/math_instruct | |
Let f(q) = 2*q**3 + 2*q**2 - 18*q - 14. Let l be f(3). Solve -j - l*d + 24 = 9, 3*d = j + 13 for j.\n | -1\n | ibivibiv/math_instruct | |
Solve 8838*q = 8839*q + k - 9, 2*k + 189 = 21*q for q.\n | 9\n | ibivibiv/math_instruct | |
Suppose 0 = -t - 1 - 2. Let x(b) = -b**3 - 3*b**2 + 5*b + 4. Let n be x(t). List the prime factors of 238/22 + (-2)/n.\n | 11\n | ibivibiv/math_instruct | |
Let z be 5/1 - (-4 + 4). Suppose u = -z + 22. Let q = u - 1. Is q a multiple of 16?\n | True\n | ibivibiv/math_instruct | |
Solve -652*j + 1341*j = 638*j + 918 for j.\n | 18\n | ibivibiv/math_instruct | |
Is 20838959 a prime number?\n | False\n | ibivibiv/math_instruct | |
What is the next term in -1880687, -3761382, -5642077, -7522772, -9403467, -11284162?\n | -13164857\n | ibivibiv/math_instruct | |
Let o = -3 + 19. Let a(m) = -7*m**3 + 5*m**2 - 3*m - 2. Let p(j) = 22*j**3 - 16*j**2 - 3 + 2 + 10*j + 7. Give o*a(h) + 5*p(h).\n | -2*h**3 + 2*h - 2\n | ibivibiv/math_instruct | |
Let a**3/2 - 164*a**2 - 1661*a/2 - 666 = 0. What is a?\n | -4, -1, 333\n | ibivibiv/math_instruct | |
What is the highest common divisor of 53 and 109?\n | 1\n | ibivibiv/math_instruct | |
Express 29*v + 2323*v + 327*v in the form y + l*v and give l.\n | 2679\n | ibivibiv/math_instruct | |
Suppose -10*n + 6824 = -5356. Let t = n - 695. What is the tens digit of t?\n | 2\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 594 and 1386.\n | 4158\n | ibivibiv/math_instruct | |
Let m(q) be the third derivative of -5*q**2 - 5/6*q**3 - 1/24*q**4 + 0*q + 0. What is the units digit of m(-11)?\n | 6\n | ibivibiv/math_instruct | |
List the prime factors of 3457460970.\n | 2, 3, 5, 19, 23, 29303\n | ibivibiv/math_instruct | |
Three letters picked without replacement from obobbrrvobvobvborbbb. What is prob of sequence obv?\n | 3/152\n | ibivibiv/math_instruct | |
Suppose -u + 45 = -d - 64, 3*u = 5*d + 335. Let h = u - 5761/55. Find the common denominator of -3/65 and h.\n | 715\n | ibivibiv/math_instruct | |
Simplify (f**(-3/2)*f*f*f/f**(-3))/(f/f**(6/5)*f*(f**(1/3)*f)/f)*(f**2)**(-1/49)*f*f**(1/8)*f**(-2/5)*f assuming f is positive.\n | f**(29699/5880)\n | ibivibiv/math_instruct | |
Suppose 3*t + 5*v + 10 = 0, 18*t = 13*t + 5*v + 10. Is 1/3 smaller than t?\n | False\n | ibivibiv/math_instruct | |
((-1365)/(-209))/(-39) + (-6)/57\n | -3/11\n | ibivibiv/math_instruct | |
Expand -68 + 68 + 2*y**3 + 7*y**3 - y**3 - 3*y**3 + (0*y - y - y)*(-2*y**2 + 2*y**2 - 2*y**2) + 4 + 2*y**3 - 4 + 9839 + 329*y**3 - 9839.\n | 340*y**3\n | ibivibiv/math_instruct | |
Let s = -8601 + 8611. What is the smallest common multiple of 825 and s?\n | 1650\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 199450819?\n | 4\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 3066 and 672?\n | 42\n | ibivibiv/math_instruct | |
Let y(s) be the third derivative of 5*s**4/6 + 19*s**2. Let t(d) = d - 2. Let a(i) = 5*i - 11. Let z(q) = -6*a(q) + 33*t(q). What is y(z(r))?\n | 60*r\n | ibivibiv/math_instruct | |
Simplify (n**8*n*(n*(n/((n/n**(-2/39)*n)/n))/n)/n)**(-1) assuming n is positive.\n | n**(-310/39)\n | ibivibiv/math_instruct | |
What is the next term in 8, 13, 14, 11, 4, -7?\n | -22\n | ibivibiv/math_instruct | |
Solve 6*p + 70 = 88 for p.\n | 3\n | ibivibiv/math_instruct | |
Suppose -136 = 2*h + 4*l, -2*h + 2*l - 128 = -2*l. Let n be h/(-4) + 8/(-16). Let t = n - -40. Is t a multiple of 8?\n | True\n | ibivibiv/math_instruct | |
Let o(r) = r**2 + 2. Let t be o(0). Suppose 5*k - 775 = 4*j, 7*k + 4*j = 3*k + 584. Suppose -2*i + k = n, t*i + 74 + 222 = 2*n. Is n a prime number?\n | True\n | ibivibiv/math_instruct | |
Is 5744482 >= 5744480?\n | True\n | ibivibiv/math_instruct | |
Let v(b) = b**3 + 2*b**2 + 5*b - 15. Calculate v(2).\n | 11\n | ibivibiv/math_instruct | |
What is 6707/(-353)*15/(-57)?\n | 5\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 216 and 2997.\n | 27\n | ibivibiv/math_instruct | |
Let k(p) = -1244*p**3 - 6*p**2 - 6*p - 1. Let w be k(-1). What is the highest common factor of 11 and w?\n | 11\n | ibivibiv/math_instruct | |
Does 4 divide 7091?\n | False\n | ibivibiv/math_instruct | |
What is the units digit of 103595?\n | 5\n | ibivibiv/math_instruct | |
What is 0.0010231 rounded to five decimal places?\n | 0.00102\n | ibivibiv/math_instruct | |
Find the first derivative of t**2*z + 47*t*z**2 - 458*t*z - 165116*z**2 wrt t.\n | 2*t*z + 47*z**2 - 458*z\n | ibivibiv/math_instruct | |
Let x = -229 + -27. Let i = 255 + x. Which is smaller: 51 or i?\n | i\n | ibivibiv/math_instruct | |
Let r(h) = 5*h**2 + h. Let g be r(-1). Is 32 + (-2)/g*2 a multiple of 6?\n | False\n | ibivibiv/math_instruct | |
Put -62, -5, 4/9, 1, -0.5 in descending order.\n | 1, 4/9, -0.5, -5, -62\n | ibivibiv/math_instruct | |
Which is the fifth biggest value? (a) 3/4 (b) 5 (c) 0.3 (d) -0.2 (e) 190/7 (f) -5 (g) 4/15\n | g\n | ibivibiv/math_instruct | |
Let q = -2084 - -2094. Let u(w) = 12*w + 1. Calculate the lowest common multiple of u(9) and q.\n | 1090\n | ibivibiv/math_instruct | |
What is prob of picking 2 z when two letters picked without replacement from {z: 2, c: 5}?\n | 1/21\n | ibivibiv/math_instruct | |
Expand (-h + 2*h + 2*h)*(-7 + 64830*h - 64830*h + 14*h**2).\n | 42*h**3 - 21*h\n | ibivibiv/math_instruct | |
Simplify (w/(w/(w**1/w)))**(-31)*((w**3*w*w)/w)/(w/w**(2/21))*(w**(-2))**(-1/25)*w**5/w*w**6 assuming w is positive.\n | w**(6917/525)\n | ibivibiv/math_instruct | |
Let h = -7 + 8. Let g be (0 - h)*1 - -1. Solve g = -4*j + c - 13, 3*j - c + 4 = -6*c for j.\n | -3\n | ibivibiv/math_instruct | |
What is the tens digit of (35 + 211)/((-6)/(-4))?\n | 6\n | ibivibiv/math_instruct | |
Factor -3*k**3 + 2562*k**2.\n | -3*k**2*(k - 854)\n | ibivibiv/math_instruct | |
Let d(i) = 5*i**2 - 39*i - 3. Determine d(4).\n | -79\n | ibivibiv/math_instruct | |
How many months are there in three eighths of a decade?\n | 45\n | ibivibiv/math_instruct | |
Is 8128 >= 8130?\n | False\n | ibivibiv/math_instruct | |
Suppose -4*h + 9*h + 55 = 0. Let z(m) = -6*m**2 + 11*m + 21. Let c(b) = 12 + 51 - 2*b + b**2 - 67. Give h*c(a) - 2*z(a).\n | a**2 + 2\n | ibivibiv/math_instruct | |
Three letters picked without replacement from zawzzzkwwkc. What is prob of sequence ack?\n | 1/495\n | ibivibiv/math_instruct | |
Round 1.3566 to one decimal place.\n | 1.4\n | ibivibiv/math_instruct | |
What comes next: 9312, 13831, 18348, 22869, 27400, 31947, 36516, 41113?\n | 45744\n | ibivibiv/math_instruct | |
How many minutes are there between 9:05 PM and 8:50 AM?\n | 705\n | ibivibiv/math_instruct | |
What is next in -359964, -720035, -1080104, -1440171, -1800236, -2160299, -2520360?\n | -2880419\n | ibivibiv/math_instruct | |
Collect the terms in 925 - 147*f + 143*f - 926.\n | -4*f - 1\n | ibivibiv/math_instruct | |
List the prime factors of 2371443624.\n | 2, 3, 11, 1171, 2557\n | ibivibiv/math_instruct | |
What is (2/(-24))/(14/28)?\n | -1/6\n | ibivibiv/math_instruct | |
Divide -595458828 by -4.\n | 148864707\n | ibivibiv/math_instruct | |
Let u = -18 + 10. Let m = u - -3. Let n be (-4)/(-10)*5/(-1). Which is the second smallest value? (a) m (b) 0.1 (c) n\n | c\n | ibivibiv/math_instruct | |
Let p = -8 + 13. Suppose 75 = p*n - 135. What is the greatest common divisor of n and 28?\n | 14\n | ibivibiv/math_instruct | |
Let x(m) = 18*m - 35. Does 5 divide x(6)?\n | False\n | ibivibiv/math_instruct | |
Calculate the common denominator of 55/1212 and -49/828099.\n | 3312396\n | ibivibiv/math_instruct | |
Let i(f) = -4*f**2 + 5*f - 3. Let l(t) be the first derivative of t**3/3 - t**2 + t + 3318. What is -4*i(a) - 11*l(a)?\n | 5*a**2 + 2*a + 1\n | ibivibiv/math_instruct | |
What is next in 12, 20, 26, 30?\n | 32\n | ibivibiv/math_instruct | |
Expand (2 - 8 + 1)*(2 + 0 + 0)*(-1 + 4 - 2 + 3 - 1 - 3 + 5 - 4 + 0 + (4 + 1 - 4)*(0 + 3 - 5) - 4 - 1 + 3 + 2 - 3 + 0)*(-1 + 1 + t)*(3 - 7 + 3).\n | -40*t\n | ibivibiv/math_instruct |
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