instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let a = -9 - -116. What is the second derivative of -4584*s - 3 + a*s**5 - 1 + 4591*s wrt s?\n | 2140*s**3\n | ibivibiv/math_instruct | |
Three letters picked without replacement from yaaavavaaa. Give prob of picking 1 v and 2 a.\n | 7/20\n | ibivibiv/math_instruct | |
Calculate 12*(-12)/(-16)*(-3)/(-9).\n | 3\n | ibivibiv/math_instruct | |
Suppose 5*j + 40 = 4*v, 3 = -3*v - 4*j + 2. Suppose c - 2 = -v*z + 1, 3 = -2*z + c. Solve z*b = 5*b + 10 for b.\n | -2\n | ibivibiv/math_instruct | |
Let o = -688 - -683. Let k(a) = 7*a**3 - 15*a**2 - 16*a - 1. Let j(v) = -10*v**3 + 22*v**2 + 24*v + 2. Let q(b) = o*j(b) - 7*k(b). Calculate q(6).\n | -15\n | ibivibiv/math_instruct | |
What is the hundreds digit of 21044?\n | 0\n | ibivibiv/math_instruct | |
Convert 105 (base 9) to base 13.\n | 68\n | ibivibiv/math_instruct | |
Let x(c) = -1 + 5*c - 6 - 1. Let o(b) = 5*b - 8. Let w(k) = -6*o(k) + 5*x(k). Let a(i) = -2*i + 3. Determine -8*a(u) + 3*w(u).\n | u\n | ibivibiv/math_instruct | |
Calculate the common denominator of -137/1266 and -145/6.\n | 1266\n | ibivibiv/math_instruct | |
Let k(j) = -179 - 2*j + 179. Let t(q) = 4*q**2. Determine k(t(g)).\n | -8*g**2\n | ibivibiv/math_instruct | |
Is 310427917 a composite number?\n | True\n | ibivibiv/math_instruct | |
What is 5/8 of a litre in millilitres?\n | 625\n | ibivibiv/math_instruct | |
Let o be (-1)/(2/11)*2. Let w(y) = -4*y + 4. Let s be w(-3). Let x = s + o. What is the lowest common multiple of 7 and x?\n | 35\n | ibivibiv/math_instruct | |
Let z = 40 + -30. Solve 0*f - 2*f + z = 0 for f.\n | 5\n | ibivibiv/math_instruct | |
Let r(g) = 339*g + 664. Give r(-2).\n | -14\n | ibivibiv/math_instruct | |
What is 481 minutes before 3:18 AM?\n | 7:17 PM\n | ibivibiv/math_instruct | |
Does 180 divide 3625920?\n | True\n | ibivibiv/math_instruct | |
Rearrange -841*v**2 - 818*v**2 + 1657*v**2 + v - 22 to q*v**2 + o + u*v and give u.\n | 1\n | ibivibiv/math_instruct | |
Suppose 0 = k - 2*k + 204. Suppose 0 = -5*i + 10, 5*r = 5*i - 2*i + k. Suppose -m = 2*m - r. List the prime factors of m.\n | 2, 7\n | ibivibiv/math_instruct | |
Let g = -53 - -60.6. Let c = g + -7.60077. Round c to four dps.\n | -0.0008\n | ibivibiv/math_instruct | |
Let w(j) = -16 + 289*j - 34 - 284*j. Let q be w(9). Put 138, q, -4 in descending order.\n | 138, -4, q\n | ibivibiv/math_instruct | |
What is the third derivative of 2*c*f**5 - 39773*c*f**2 + 442*f**5 + 16*f**3*r - 3*f*r wrt f?\n | 120*c*f**2 + 26520*f**2 + 96*r\n | ibivibiv/math_instruct | |
Let y(m) = -m + 1. Let p be y(-3). Let v(u) be the second derivative of u**3/6 + 2*u**2 + u. Let n be v(p). What is the greatest common divisor of n and 88?\n | 8\n | ibivibiv/math_instruct | |
Calculate the remainder when 410 is divided by 23.\n | 19\n | ibivibiv/math_instruct | |
What is prob of picking 1 r and 1 v when two letters picked without replacement from drooddvdadvladddv?\n | 3/136\n | ibivibiv/math_instruct | |
Find the first derivative of 3*w**4 - w + 157.\n | 12*w**3 - 1\n | ibivibiv/math_instruct | |
Let m be (0 + (-18)/45)/((-2)/100). Suppose -k + m = 4*u, -6*u + 3*u = -k - 8. Calculate the remainder when 21 is divided by k.\n | 1\n | ibivibiv/math_instruct | |
Which is the closest to 1? (a) 0.02 (b) -6 (c) -4\n | a\n | ibivibiv/math_instruct | |
Simplify (-5*-2*(sqrt(104) + -1*sqrt(104)*-1 + sqrt(104)))/((-5*sqrt(24)*-2)/sqrt(3)*-1).\n | -3*sqrt(13)\n | ibivibiv/math_instruct | |
Let h(s) = 146*s. Let m(a) = -4*a**2. Calculate m(h(i)).\n | -85264*i**2\n | ibivibiv/math_instruct | |
What is the value of 6/(228/95)*16/(-380)?\n | -2/19\n | ibivibiv/math_instruct | |
Is 23 a factor of 1339?\n | False\n | ibivibiv/math_instruct | |
Simplify (p**(2/11))**(1/69) assuming p is positive.\n | p**(2/759)\n | ibivibiv/math_instruct | |
Which is bigger: -5802 or -234.3?\n | -234.3\n | ibivibiv/math_instruct | |
What is the value of 4 - (21 - (35 + -6)) - (-2 + 17)?\n | -3\n | ibivibiv/math_instruct | |
What comes next: -1275, -1282, -1293, -1308?\n | -1327\n | ibivibiv/math_instruct | |
Suppose 6000 = -12*b + 37*b. Let a = b - 223. Suppose 0 = 2*z + 3*z - 255. Calculate the highest common factor of z and a.\n | 17\n | ibivibiv/math_instruct | |
What is next in 525104, 525094, 525084, 525074?\n | 525064\n | ibivibiv/math_instruct | |
Which is the second smallest value? (a) 7 (b) -2 (c) 11 (d) 5\n | d\n | ibivibiv/math_instruct | |
Expand (0 + 0 - 2*h**2)*(4 - 3 + 0) + 3*h**2 - 4*h**2 + 5*h**2 + (-6 + 2 + 2)*(-5*h**2 - 3*h**2 + 4*h**2).\n | 10*h**2\n | ibivibiv/math_instruct | |
Let s = 1180 - 1182. What is the second smallest value in -3/7, s, -5.4, -0.06?\n | s\n | ibivibiv/math_instruct | |
Simplify c**(-6)/(c*c**(-3/7))*(c*(c*c/(c/(c*(c*c/(c*c/(c**(-2)/c*c*c)))/c*c))*c)/c)/c*c**(-8)*c assuming c is positive.\n | c**(-88/7)\n | ibivibiv/math_instruct | |
582 divided by -6\n | -97\n | ibivibiv/math_instruct | |
Is 9244317821 prime?\n | False\n | ibivibiv/math_instruct | |
Let k = 127 - -2621. Suppose -8*m - 1374 = -9*m + r, 0 = -2*m - r + k. What is the hundreds digit of m?\n | 3\n | ibivibiv/math_instruct | |
Round -0.056664714 to 3 dps.\n | -0.057\n | ibivibiv/math_instruct | |
Suppose 0*j = 5*j - 20. Let o be (6/3)/(j/2). Let f(x) = 3*x**3 + x**2. Let u be f(o). Solve -u*i + 3 = 3*y, 0*y - 2*y - 3*i = -3 for y.\n | -3\n | ibivibiv/math_instruct | |
3325 divided by -118\n | -3325/118\n | ibivibiv/math_instruct | |
Let m(q) be the second derivative of -q**7/21 - q**6/5 - 3*q**5/10 - q**4/6 - 13*q. Factor m(u).\n | -2*u**2*(u + 1)**3\n | ibivibiv/math_instruct | |
Let b be (-4 + 3)*(-1 - 2). Suppose 3*o - 3 = 0, b*v - 13 = -2*o - 5. Let k(z) = -2*z + 1 + 2*z**3 + 0*z + 0*z**v + 2*z**2 - z**3. Determine k(1).\n | 2\n | ibivibiv/math_instruct | |
What is the cube root of 1667070 to the nearest integer?\n | 119\n | ibivibiv/math_instruct | |
What is the square root of 867981884 to the nearest integer?\n | 29462\n | ibivibiv/math_instruct | |
What is the ten millions digit of 97335518?\n | 9\n | ibivibiv/math_instruct | |
What is the biggest value in 0.6, -4, 3/14?\n | 0.6\n | ibivibiv/math_instruct | |
Determine t so that 2*t**4 + 12770*t**3 + 25524*t**2 - 51080*t - 102128 = 0.\n | -6383, -2, 2\n | ibivibiv/math_instruct | |
Suppose 0 = p, m + 0*p - 60 = -4*p. Let r = -34 + m. What is the greatest common factor of 65 and r?\n | 13\n | ibivibiv/math_instruct | |
In base 5, what is -24104 - -2?\n | -24102\n | ibivibiv/math_instruct | |
Let x(i) = -3*i**3 + 2*i**2 - 6*i + 6. Let c(l) = 3*l**3 - 2*l**2 + 7*l - 7. Let k(f) = -6*c(f) - 7*x(f). Find the third derivative of k(b) wrt b.\n | 18\n | ibivibiv/math_instruct | |
Which is smaller: 25/5266664 or 1?\n | 25/5266664\n | ibivibiv/math_instruct | |
Find the first derivative of 178*c - 216.\n | 178\n | ibivibiv/math_instruct | |
Suppose -17*h - 306 = -23*h. What is the units digit of h?\n | 1\n | ibivibiv/math_instruct | |
Jerry is cutting up wood for his wood-burning stove. Each pine tree makes 80 logs, each maple tree makes 60 logs, and each walnut tree makes 100 logs. If Jerry cuts up 8 pine trees, x maple trees, and 4 walnut trees, how many logs does he get?
If we know the answer to the above question is 1220, what is the value of un... | Jerry cuts up 8 pine trees, which means he gets 8 * 80 = 640 pine logs.
He also cuts up x maple trees, which means he gets x * 60 maple logs.
He cuts up 4 walnut trees, which means he gets 4 * 100 = 400 walnut logs.
The total number of logs he gets is the sum of the pine logs, maple logs, and walnut logs: 640 + x * 60 ... | ibivibiv/math_instruct | |
Simplify 4 + 0 + sqrt(242) + -2.\n | 2 + 11*sqrt(2)\n | ibivibiv/math_instruct | |
What is 41/(((-11)/(-242))/(8/(-176)))*(-1)/(-1)?\n | -41\n | ibivibiv/math_instruct | |
Let z(m) = -7*m**2 + 2198*m - 6. Let l(c) = -13*c**2 + 4394*c - 11. Give -6*l(o) + 11*z(o).\n | o**2 - 2186*o\n | ibivibiv/math_instruct | |
How many minutes are there between 7:19 AM and 3:32 PM?\n | 493\n | ibivibiv/math_instruct | |
Is 802917421 a prime number?\n | True\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 1622508916?\n | 0\n | ibivibiv/math_instruct | |
Let q(t) = 42*t**2 - 140*t + 2175. Does 19 divide q(26)?\n | False\n | ibivibiv/math_instruct | |
What is prob of sequence ik when two letters picked without replacement from {k: 12, i: 6}?\n | 4/17\n | ibivibiv/math_instruct | |
Suppose 2*w**2 + 163518932*w + 3342305140302578 = 0. Calculate w.\n | -40879733\n | ibivibiv/math_instruct | |
Let i be 1/(-4) - (-66)/8. Let v be i/(-12) - 3/9. Which is smaller: 3/8 or v?\n | v\n | ibivibiv/math_instruct | |
Let r be (1 - 56/8) + 8. Suppose -5*k - r*a = -7609, -7*k + 3*a + 7624 = -2*k. What are the prime factors of k?\n | 1523\n | ibivibiv/math_instruct | |
Let u = 853 + -837. Calculate the remainder when 25 is divided by u.\n | 9\n | ibivibiv/math_instruct | |
Let a(d) = 45*d**2 - 231*d - 26. Give a(5).\n | -56\n | ibivibiv/math_instruct | |
What is the highest common divisor of 312 and 154622?\n | 26\n | ibivibiv/math_instruct | |
What is the hundreds digit of 713?\n | 7\n | ibivibiv/math_instruct | |
Collect the terms in 0*y - 7*y + 12*y - 6*y - 6*y.\n | -7*y\n | ibivibiv/math_instruct | |
Solve 23*i = 47*i for i.\n | 0\n | ibivibiv/math_instruct | |
Solve -11*b + 163 = -3*t, -6*b - 3*t = -281 + 206 for b.\n | 14\n | ibivibiv/math_instruct | |
What is 66 to the power of 1/3, to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
What is prob of picking 2 l and 1 w when three letters picked without replacement from {i: 5, w: 4, l: 5}?\n | 10/91\n | ibivibiv/math_instruct | |
Which is the nearest to 0? (a) -0.17 (b) -3/4 (c) 1 (d) 0.4\n | a\n | ibivibiv/math_instruct | |
Simplify ((u*u**(-5))**3)**(-36) assuming u is positive.\n | u**432\n | ibivibiv/math_instruct | |
Let q(i) = -i**3 - 13*i**2 - 13*i - 29. Determine q(-12).\n | -17\n | ibivibiv/math_instruct | |
Is 7 at least 1633?\n | False\n | ibivibiv/math_instruct | |
Expand (-4*n + 5*n - 4*n)*(-33 + 33 + 3*n)*(80*n**2 - 2*n - 5*n**2 + 12*n**2).\n | -783*n**4 + 18*n**3\n | ibivibiv/math_instruct | |
Simplify (-3*(sqrt(130) + (sqrt(130) - (sqrt(130) - -2*sqrt(130)*-2 - sqrt(130))))*-4)/(5*(-2*sqrt(90) + sqrt(90) - sqrt(90))*-2).\n | 6*sqrt(13)/5\n | ibivibiv/math_instruct | |
List the prime factors of 19905875.\n | 5, 11, 31, 467\n | ibivibiv/math_instruct | |
Calculate (146 - -359 - 79)*1/6.\n | 71\n | ibivibiv/math_instruct | |
Calculate prob of sequence vv when two letters picked without replacement from {d: 1, k: 1, e: 3, v: 5, y: 1}.\n | 2/11\n | ibivibiv/math_instruct | |
Let a = 24.029 + -0.029. Let c = a + -16. Let x = c - 7.9986. Round x to 3 decimal places.\n | 0.001\n | ibivibiv/math_instruct | |
Expand (2*k**3 + 2*k**3 - 5*k**3)*(8*k**2 - 10*k**2 - 3*k**2 + (5*k + 9*k + k)*(-1 + 1 - k)).\n | 20*k**5\n | ibivibiv/math_instruct | |
Which is smaller: 101225/16 or 6328?\n | 101225/16\n | ibivibiv/math_instruct | |
Let j = 89645 - 629166/7. Which is bigger: -236 or j?\n | j\n | ibivibiv/math_instruct | |
What is the greatest common factor of 1523589 and 142?\n | 71\n | ibivibiv/math_instruct | |
How many minutes are there between 6:31 PM and 7:24 PM?\n | 53\n | ibivibiv/math_instruct | |
Let w(j) = -2*j**2 - 30*j + 108. Let q be w(-18). Let o(y) = y + 13. Let l be o(-6). Solve 5*b + 5*f + q = -10, 0 = 3*b + 4*f + l for b.\n | -1\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) -7 (b) -4 (c) -2/3907 (d) 1115\n | d\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-6.0872 - -1.5541) / (-63.291 / -79.6345) | -5.7037 | ibivibiv/math_instruct |
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