instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let d(y) = -9*y - 2. Let s(v) = -19*v. Let j(g) = 113*g. Let m(i) = j(i) + 6*s(i). Calculate d(m(b)).\n | 9*b - 2\n | ibivibiv/math_instruct | |
Is 292832159 prime?\n | False\n | ibivibiv/math_instruct | |
Let q(v) be the first derivative of 7*v**3/3 + 7*v**2/2 - 1. What is the second derivative of q(o) wrt o?\n | 14\n | ibivibiv/math_instruct | |
What is 49053 to the power of 1/2, to the nearest integer?\n | 221\n | ibivibiv/math_instruct | |
Let l(y) = -y**3 - 7*y**2 - 8*y + 3. Determine l(-5).\n | -7\n | ibivibiv/math_instruct | |
What is (4 - (-60)/(-16))*-2?\n | -1/2\n | ibivibiv/math_instruct | |
What is 28126 less than 5.470631?\n | -28120.529369\n | ibivibiv/math_instruct | |
Expand -c**3 + c**2 + c**3 + c**4 + (-79*c - 45*c - 8*c)*(3*c**3 - 3*c**3 + 2*c**3).\n | -263*c**4 + c**2\n | ibivibiv/math_instruct | |
Product of -48.825 and -6.\n | 292.95\n | ibivibiv/math_instruct | |
Let s = -10 + 10.9. Let g = s + -0.8. Let m be 1 + 0 - (-4)/(-3). Sort g, 5, m in decreasing order.\n | 5, g, m\n | ibivibiv/math_instruct | |
How many minutes are there between 2:15 AM and 8:40 AM?\n | 385\n | ibivibiv/math_instruct | |
Let o(n) = 5*n**2. Let g(l) = 44*l - 55. Let x(s) = s - 5. Let f(h) = g(h) - 11*x(h). What is f(o(t))?\n | 165*t**2\n | ibivibiv/math_instruct | |
Put 2945, -1/8, -1746 in ascending order.\n | -1746, -1/8, 2945\n | ibivibiv/math_instruct | |
In base 12, what is -111160b + -79?\n | -1111688\n | ibivibiv/math_instruct | |
Calculate the remainder when 427 is divided by 229.\n | 198\n | ibivibiv/math_instruct | |
Suppose 3*x - 4*u - 11324 = 0, 59*x = 61*x + 4*u - 7556. List the prime factors of x.\n | 2, 59\n | ibivibiv/math_instruct | |
What is the square root of 75622 to the nearest integer?\n | 275\n | ibivibiv/math_instruct | |
Subtract -4984.3387 from 32081.\n | 37065.3387\n | ibivibiv/math_instruct | |
Let h(o) be the second derivative of -o**5/120 - o**3/3 - o. Let y(x) be the second derivative of h(x). Let c(s) = -2 - 2*s + 2 + 0*s. What is c(y(j))?\n | 2*j\n | ibivibiv/math_instruct | |
Suppose 0 = -0*q + 4*q + 48. Find the common denominator of -13/16 and 3/q + 31/3.\n | 48\n | ibivibiv/math_instruct | |
Which is smaller: 182353 or 182352?\n | 182352\n | ibivibiv/math_instruct | |
Let m = -0.1 + 0. Let u(p) = -p**3 + 3*p. Let x be u(-2). Let y be (-14)/98*1/(1/x). Which is the closest to y? (a) 0.5 (b) -5 (c) m\n | c\n | ibivibiv/math_instruct | |
Suppose -3*q + 8 = -7. Suppose -2*s + a + 1308 = -a, q*s = -5*a + 3260. Is s prime?\n | True\n | ibivibiv/math_instruct | |
Is 1321999 a prime number?\n | False\n | ibivibiv/math_instruct | |
Rearrange 4*q**2 - 22 + 43*q**3 - 50*q**3 + 22 to the form x*q**2 + c*q + s + w*q**3 and give x.\n | 4\n | ibivibiv/math_instruct | |
Evaluate (0 - 0) + -3 + 36 + -29 - -3.\n | 7\n | ibivibiv/math_instruct | |
Let d(l) = -14*l - 3. Let g(c) = 9*c + 2. Suppose -7 + 9 = -y. Let j be (2/y - 2) + 11. Let q(f) = f**2 + 3*f - 5. Let s be q(-5). Give j*g(v) + s*d(v).\n | 2*v + 1\n | ibivibiv/math_instruct | |
Is (3/2)/(-12 + 17862/1488) a multiple of 34?\n | False\n | ibivibiv/math_instruct | |
Let l be (-16)/168*(-14)/6. Let y(g) = -g + 6. Let w be y(5). Suppose 3*z - 4 + w = 0. Which is smaller: l or z?\n | l\n | ibivibiv/math_instruct | |
Which is bigger: 0 or 59/125?\n | 59/125\n | ibivibiv/math_instruct | |
Simplify -2*(-6*((sqrt(189) + -2*sqrt(189) + sqrt(189))*3 - sqrt(189)))/(sqrt(35)/(-6*sqrt(80)))*5.\n | 4320*sqrt(3)\n | ibivibiv/math_instruct | |
What is the third smallest value in -21, -1/34, 2, 1?\n | 1\n | ibivibiv/math_instruct | |
What is next in 800, 1523, 2246, 2969, 3692?\n | 4415\n | ibivibiv/math_instruct | |
Suppose 3*c = -n + 16, 3*c = 219*n - 222*n + 24. Let g(p) = 6*p**2 - 22*p - 4. What is g(n)?\n | 4\n | ibivibiv/math_instruct | |
List the prime factors of 46.\n | 2, 23\n | ibivibiv/math_instruct | |
Suppose 2*a - 48 = 4*a. Let k be a/(-9) + 4/(-6). Let t(h) = h**3 - 2*h**2 + 1. Determine t(k).\n | 1\n | ibivibiv/math_instruct | |
Let a = -67.4 - 3.6. Let y = a - -67. Let t be 80/180*6/(-16). Put t, -5, -0.1, y in increasing order.\n | -5, y, t, -0.1\n | ibivibiv/math_instruct | |
Evaluate 3/(-5)*-6*(-1)/18.\n | -1/5\n | ibivibiv/math_instruct | |
What is the common denominator of -8/16831 and -17/36?\n | 605916\n | ibivibiv/math_instruct | |
Let o(g) = -6123*g + 912308. Determine o(149).\n | -19\n | ibivibiv/math_instruct | |
Let k = 0.81 + -0.66. Let f = 8 - 9. Which is greater: k or f?\n | k\n | ibivibiv/math_instruct | |
Suppose 3*a - 3 - 15 = 0. Solve -4*q - 10 = 3*r, -q = -4*q - 3*r - a for q.\n | -4\n | ibivibiv/math_instruct | |
Which is the nearest to 2/3? (a) 4/15 (b) -6/11 (c) 0.5\n | c\n | ibivibiv/math_instruct | |
Collect the terms in -1573*k**3 - 9 + 1571*k**3 + 33 - 24.\n | -2*k**3\n | ibivibiv/math_instruct | |
What is the square root of 737611935 to the nearest integer?\n | 27159\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {l: 2, t: 2, w: 2, i: 4, f: 4, x: 1}. What is prob of sequence ifif?\n | 2/455\n | ibivibiv/math_instruct | |
Suppose 1 = v - 2. Suppose 0 = -11*g + 14*g - v. Let u be (g + -2)*(1 + -1). Solve -k + 8 = -2*s, u*k - 4*k = -8 for s.\n | -3\n | ibivibiv/math_instruct | |
Let z be 13*(-3)/9 + 4. Let k = 2 + -1. Which is smaller: z or k?\n | z\n | ibivibiv/math_instruct | |
Suppose o = -z + 8, -2*z + 4*o = 2*o. Let x(j) = 550 - j - 207 - 338. What is x(z)?\n | 1\n | ibivibiv/math_instruct | |
Which is the closest to 10/11? (a) -1.009 (b) 0.1 (c) 2 (d) -2\n | b\n | ibivibiv/math_instruct | |
Let h(r) = 0 - 460*r**2 + 0 + 484*r**2. Let s(q) = -2*q. What is s(h(k))?\n | -48*k**2\n | ibivibiv/math_instruct | |
Let g = -17 + 19. Let d(i) = -i + 0*i + g*i. Let f(o) = -2*o + 3. Let n(v) = -3*v + 5. Let z(u) = -5*f(u) + 3*n(u). Give z(d(w)).\n | w\n | ibivibiv/math_instruct | |
Let z(i) be the second derivative of i**7/168 + i**6/30 + 3*i**5/80 - i**4/12 - i**3/6 + 27*i. Factor z(n).\n | n*(n - 1)*(n + 1)*(n + 2)**2/4\n | ibivibiv/math_instruct | |
Simplify ((b/b**(-2/13))**(-16))**(-2/155)*(((b/b**(2/13))/b)/(b*b**(1/3)))/(b**(-7)/(b/((b*b*b**(3/7))/b))) assuming b is positive.\n | b**(45044/8463)\n | ibivibiv/math_instruct | |
Let v(s) = s**3 - 5*s**2 - s - 6. Let z be v(5). Let m = z - -4. Let c(u) = 3*u - 2. Let f be c(-2). Which is smaller: m or f?\n | f\n | ibivibiv/math_instruct | |
Suppose -4*i - 4*v = -43 - 97, 0 = 5*i + v - 159. Let x = 9 + 9. Suppose -4*p + 102 - x = 0. Solve 2*m + 2*m + p = -l, -4*m - 3*l - i = 0 for m.\n | -4\n | ibivibiv/math_instruct | |
Sort -10, -13, -2, 1, 5, -6, 49 in decreasing order.\n | 49, 5, 1, -2, -6, -10, -13\n | ibivibiv/math_instruct | |
Let y(h) = h**2 - 16*h + 18. Let n be y(15). What is the units digit of n*(0 + 3/(12/244))?\n | 3\n | ibivibiv/math_instruct | |
Is 1425638983 a prime number?\n | True\n | ibivibiv/math_instruct | |
Let p = 64.28 + -1.28. Let y = p + -56. Let k = 4 + -4.2. Which is greater: k or y?\n | y\n | ibivibiv/math_instruct | |
Find the common denominator of 139/4247334 and 57/453775.\n | 106183350\n | ibivibiv/math_instruct | |
Let o(c) = -5*c**4 - 5*c**3 - 17*c**2 + 5*c. Let j(z) = 3*z**4 + 2*z**3 + 8*z**2 - 2*z. Let x(l) = 5*j(l) + 2*o(l). What is the third derivative of x(n) wrt n?\n | 120*n\n | ibivibiv/math_instruct | |
Find the second derivative of -j**5 - 5*j**4 + 1172*j**3 - 2*j - 17127.\n | -20*j**3 - 60*j**2 + 7032*j\n | ibivibiv/math_instruct | |
Let j = -792 + 792.4. Let l = -0.8 - 10. Let f = -11 - l. Put -1/2, 0.5, j, f in descending order.\n | 0.5, j, f, -1/2\n | ibivibiv/math_instruct | |
What is 1013133 (base 5) in base 16?\n | 411c\n | ibivibiv/math_instruct | |
Convert -34 (base 7) to base 12.\n | -21\n | ibivibiv/math_instruct | |
Sort 13, -1, 7, 0.1, 0.27, 3 in decreasing order.\n | 13, 7, 3, 0.27, 0.1, -1\n | ibivibiv/math_instruct | |
Is 2666581 a composite number?\n | False\n | ibivibiv/math_instruct | |
Expand (3 - 5 + 0)*((4*x + 0 + 0)*(4*x - 26*x - 6*x) + 2*x**2 - 2*x**2 + 2*x**2 - 2 - 3*x**2 + 2).\n | 226*x**2\n | ibivibiv/math_instruct | |
Calculate the common denominator of 3/5 and (-439)/(-10) - 7/(105/6).\n | 10\n | ibivibiv/math_instruct | |
-46018 times 2.7\n | -124248.6\n | ibivibiv/math_instruct | |
Collect the terms in 681*t - 681*t - 44*t**2.\n | -44*t**2\n | ibivibiv/math_instruct | |
How many kilometers are there in 475503.4 micrometers?\n | 0.0004755034\n | ibivibiv/math_instruct | |
What is aab8b (base 13) in base 4?\n | 1023210302\n | ibivibiv/math_instruct | |
What is the result of the following expression?
55.1897 * -49.516 | -2732.7732 | ibivibiv/math_instruct | |
Let m(f) be the first derivative of f**3 - f**2/2 + 11. What is the tens digit of m(-3)?\n | 3\n | ibivibiv/math_instruct | |
Let a = 42.74907539 - 42.749. What is a rounded to five dps?\n | 0.00008\n | ibivibiv/math_instruct | |
Suppose 3*q + 4*r - 20 = -29, -2*q + 4*r - 6 = 0. Suppose 3*j - 2 + 1 = -k, -4*j + 5*k + 14 = 0. Sort -17, j, q, 5 in ascending order.\n | -17, q, j, 5\n | ibivibiv/math_instruct | |
Let c be (-6)/2*(-7)/7. Suppose 0 = r + 3*d - 14, -c*d - 2*d = -5. Solve h + 2*b + 0 = -r, b = -4*h - 9 for h.\n | -1\n | ibivibiv/math_instruct | |
Let v(q) = -475*q - 2. Let s be v(-2). Suppose 0 = -4*i - 4*a + s, 5*i + 0*a = 4*a + 1194. Calculate the common denominator of -53/2 and (1 + i/12)/(-1).\n | 6\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) -43 (b) -3 (c) -5\n | b\n | ibivibiv/math_instruct | |
Divide 222246764 by 4.\n | 55561691\n | ibivibiv/math_instruct | |
In base 15, what is -b85 + -1223?\n | -1da8\n | ibivibiv/math_instruct | |
Solve -5*y + 0*y + 2*b = 12, -47*y + 107 = -2*b + 13 + 22 for y.\n | 2\n | ibivibiv/math_instruct | |
Let q = 8 + -6. Let r = 19 + -18.9. Let d be 30/(-18) + (-2)/(-2). Which is the closest to -2/3? (a) d (b) r (c) q\n | a\n | ibivibiv/math_instruct | |
Let d(a) = a**3 - 9*a**2 + 10*a + 9. Calculate d(8).\n | 25\n | ibivibiv/math_instruct | |
Let m = 837 + 708. Suppose -j = -5*c + m, 3*c + 5*j + 1257 = 7*c. Let v = 35 - 7. Calculate the highest common divisor of v and c.\n | 28\n | ibivibiv/math_instruct | |
Rearrange -2 - 543*t**3 - 183*t + 113*t - 2*t**2 + 69*t to f*t + n + w*t**3 + m*t**2 and give w.\n | -543\n | ibivibiv/math_instruct | |
Suppose h + o - 13 = -4*h, 3*h = o + 11. Suppose h*g = m - 1, 0*g + 2*g - m = -1. Solve g = 4*d + 29 - 9 for d.\n | -5\n | ibivibiv/math_instruct | |
What is -487f (base 16) in base 14?\n | -6a99\n | ibivibiv/math_instruct | |
Expand (-4*b - 2*b**4 - 4*b**2 + 2*b**2 + 2*b)*(-3*b + 2*b - b).\n | 4*b**5 + 4*b**3 + 4*b**2\n | ibivibiv/math_instruct | |
Solve 1186*x = -1094*x - 148*x - 58272 for x.\n | -24\n | ibivibiv/math_instruct | |
Factor 9*n**3/4 - 20*n**2 + 125*n/4 + 125/2.\n | (n - 5)**2*(9*n + 10)/4\n | ibivibiv/math_instruct | |
Calculate the common denominator of 71/8 and 101/16620.\n | 33240\n | ibivibiv/math_instruct | |
(3 - 38) + 7 + 71\n | 43\n | ibivibiv/math_instruct | |
Let d be (192/(-15))/((-3)/15). Let r = d - 370. What is the units digit of (2/(-3))/(6/r)?\n | 4\n | ibivibiv/math_instruct | |
b"What is the tth term of -797, -1019, -151, 2353, 7039, 14453, 25141?\n" | 91*t**3 - t**2 - 856*t - 31\n | ibivibiv/math_instruct | |
b"What is the wth term of 81, 159, 239, 321, 405, 491, 579?\n" | w**2 + 75*w + 5\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 130 and 626366.\n | 26\n | ibivibiv/math_instruct | |
Convert 1936.395 litres to millilitres.\n | 1936395\n | ibivibiv/math_instruct |
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