instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Is 131149517 prime?\n | True\n | ibivibiv/math_instruct | |
Let p = 24 - 24.5. Let d = -647 - -646. Which is the closest to 2? (a) d (b) -0.3 (c) p\n | b\n | ibivibiv/math_instruct | |
Let f(c) = 3*c**2 + 156*c + 302. Calculate f(-50).\n | 2\n | ibivibiv/math_instruct | |
Convert 45a5551 (base 11) to base 13.\n | 1888bb6\n | ibivibiv/math_instruct | |
0.045 times 2914.891\n | 131.170095\n | ibivibiv/math_instruct | |
Factor -2*i**3/3 - 716*i**2/3 + 778*i/3 + 7180.\n | -2*(i - 6)*(i + 5)*(i + 359)/3\n | ibivibiv/math_instruct | |
Let a(u) = -108*u**3 - 543*u**2 - 17*u - 24. What is a(-5)?\n | -14\n | ibivibiv/math_instruct | |
Let i(y) = y**2 + y - 4. Let f = 2 - 5. Let v be i(f). Solve -o - 3*c + v*c = -5, 0 = -o - 4*c + 20 for o.\n | 0\n | ibivibiv/math_instruct | |
What is 0.00007273818 rounded to 7 decimal places?\n | 0.0000727\n | ibivibiv/math_instruct | |
Let m(p) = -86177*p**2. Let l(c) = -3*c. Calculate m(l(j)).\n | -775593*j**2\n | ibivibiv/math_instruct | |
Let i = -12059807.63813 + 12059915. Let o = i - 101.6614. Let x = 5.7 - o. What is x rounded to four decimal places?\n | -0.0005\n | ibivibiv/math_instruct | |
What is -0.1 minus -0.0672?\n | -0.0328\n | ibivibiv/math_instruct | |
Three letters picked without replacement from gffffgffflfffgfggfg. What is prob of sequence flf?\n | 22/969\n | ibivibiv/math_instruct | |
Is 67 a factor of 134?\n | True\n | ibivibiv/math_instruct | |
What is the third derivative of 8*i**2*j**3 + 21*i**2*j + i**2 - 971*j**3 + 48*j**2 wrt j?\n | 48*i**2 - 5826\n | ibivibiv/math_instruct | |
Is 7115839 a composite number?\n | True\n | ibivibiv/math_instruct | |
Let c(a) = 4*a**2 + 3143*a + 89960. Calculate c(-756).\n | -4\n | ibivibiv/math_instruct | |
What is the highest common divisor of 238 and 7?\n | 7\n | ibivibiv/math_instruct | |
Simplify s**(-5/11)*s**(4/7)*s assuming s is positive.\n | s**(86/77)\n | ibivibiv/math_instruct | |
Suppose 21*o - q - 23 = 19*o, q + 33 = 3*o. Let r be 2/5 + 804/(-10). Calculate the remainder when o is divided by 4/14 - r/14.\n | 4\n | ibivibiv/math_instruct | |
What is -4195350800 rounded to the nearest one million?\n | -4195000000\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 504595 and 455.\n | 455\n | ibivibiv/math_instruct | |
Let p be -9 + 7 - (1 - 5). What is the second derivative of 48*o + o**3 - 98*o + 3*o**3 + o**p - 1 - 3*o**3 wrt o?\n | 6*o + 2\n | ibivibiv/math_instruct | |
-1571 divided by 716\n | -1571/716\n | ibivibiv/math_instruct | |
Suppose -15 = -3*l - 6. Suppose l*y + 5 = 8. Solve 5*a = 3*m - 14, -3*a = 2*m + 2*a - y for m.\n | 3\n | ibivibiv/math_instruct | |
Let -9*y**5/5 + 173*y**4/5 - 22*y**3 - 1532*y**2/5 - 952*y/5 + 288/5 = 0. Calculate y.\n | -2, -1, 2/9, 4, 18\n | ibivibiv/math_instruct | |
In base 4, what is 10 + 10020303?\n | 10020313\n | ibivibiv/math_instruct | |
5146315 times -1\n | -5146315\n | ibivibiv/math_instruct | |
What is the smallest common multiple of 102 and 2572410?\n | 43730970\n | ibivibiv/math_instruct | |
Rearrange -4*t - 6*t - 7*t to x*t + l and give x.\n | -17\n | ibivibiv/math_instruct | |
Suppose -15 = 2*n - 4*t + 41, 4*n - 4*t + 100 = 0. Let h = n + 2. Which is smaller: -61/3 or h?\n | -61/3\n | ibivibiv/math_instruct | |
Suppose 0 = 2*w - 5*j - 8, -6*w + w = -4*j - 20. What is the second derivative of -62*d**3 + w*d - 19*d - 2 + 3*d wrt d?\n | -372*d\n | ibivibiv/math_instruct | |
Let i = -3.311 - -0.311. Let k = -76/15 + 547/105. Which is the third smallest value? (a) k (b) i (c) -0.2\n | a\n | ibivibiv/math_instruct | |
b"What is the vth term of 13, 16, 19, 22, 25?\n" | 3*v + 10\n | ibivibiv/math_instruct | |
Let v be (-1 - -2) + -2*(-26)/(-4). What is the common denominator of (-730)/v*6*(-1)/(-80) and 87/28?\n | 112\n | ibivibiv/math_instruct | |
What is the nearest to -6.7 in -102, -3, -6/5, 35, 3/5?\n | -3\n | ibivibiv/math_instruct | |
Suppose 0*n = -b + 2*n - 1, 3*n = -b - 11. Let s(v) = 13*v + 70. What is s(b)?\n | 5\n | ibivibiv/math_instruct | |
b"What is the gth term of -7000, -13198, -19402, -25612, -31828, -38050, -44278?\n" | -3*g**2 - 6189*g - 808\n | ibivibiv/math_instruct | |
Let d = 28 - 24. Let q be 1/(-1 + 2/d). What is the tens digit of (q + 5)/((-3)/(-38))?\n | 3\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-28.31 - -9.657) + -69.508 | -88.1610 | ibivibiv/math_instruct | |
Suppose 0 = 3*z - 23 - 109. Let u(g) = 16*g + 3. Let p be u(-2). Let i = z + p. Calculate the remainder when 43 is divided by i.\n | 13\n | ibivibiv/math_instruct | |
Let t be (5/15)/((-1)/3). Let h(s) = -28*s**2 - 10*s + 4. Let k(u) = -9*u**2 - 3*u + 1. Let g(i) = 2*h(i) - 7*k(i). Determine g(t).\n | 7\n | ibivibiv/math_instruct | |
What is the tens digit of 20978222?\n | 2\n | ibivibiv/math_instruct | |
Suppose -5*d = y - 34, 0 = -67*d + 64*d + 7*y - 10. Solve 4*z - 2*x = d, 3*z + 5*x + 23 = 34 for z.\n | 2\n | ibivibiv/math_instruct | |
Suppose -s = 3*z - 23, -4*s + 9*s = -z + 157. Let k = -18 + s. Let g = 44 + -4. What is the remainder when g is divided by k?\n | 12\n | ibivibiv/math_instruct | |
Suppose 0 = 3*x - 26*c + 30*c - 1835, -x - c = -611. Is 29 a factor of x?\n | True\n | ibivibiv/math_instruct | |
Is 676337 a prime number?\n | True\n | ibivibiv/math_instruct | |
Let s(o) = -7*o. Let d(u) = 5*u**2. Calculate s(d(c)).\n | -35*c**2\n | ibivibiv/math_instruct | |
Let m(n) = -11*n**3 + n**2 + 3*n - 2. Let j(p) = p. Calculate 3*j(f) - m(f).\n | 11*f**3 - f**2 + 2\n | ibivibiv/math_instruct | |
Calculate -24.9*2194.\n | -54630.6\n | ibivibiv/math_instruct | |
Let z = -5.2 + 4.9. Which is the second smallest value? (a) z (b) 0.3 (c) -0.5 (d) 0.1\n | a\n | ibivibiv/math_instruct | |
Let r(n) = -9*n + 1. Let t(l) = l - 1. Let i = -42 - -44. What is i*t(v) + r(v)?\n | -7*v - 1\n | ibivibiv/math_instruct | |
Solve -380*h = 807*h for h.\n | 0\n | ibivibiv/math_instruct | |
Let d be 3/((-45)/(-50)) + -3. Is d greater than 1?\n | False\n | ibivibiv/math_instruct | |
What is the third biggest value in -46, 1.8, 0.5, 2/5?\n | 2/5\n | ibivibiv/math_instruct | |
What is next in 592887, 1185773, 1778659, 2371545, 2964431, 3557317?\n | 4150203\n | ibivibiv/math_instruct | |
Suppose -183*h + 45542 = -116118 + 20933. Calculate the remainder when h is divided by 249.\n | 22\n | ibivibiv/math_instruct | |
Let p(j) = -5*j**2. Let x(u) = -12856407*u. Determine x(p(y)).\n | 64282035*y**2\n | ibivibiv/math_instruct | |
(-234)/(-72) + -2 + 33/(-28)\n | 1/14\n | ibivibiv/math_instruct | |
Is 3850033 prime?\n | False\n | ibivibiv/math_instruct | |
Is 1422132731 a multiple of 736?\n | False\n | ibivibiv/math_instruct | |
Let f(d) = -93*d**3 + 15*d**2 - 15*d. Let b(s) = 6*s**3 + s**2 - s. Give -90*b(t) + 6*f(t).\n | -1098*t**3\n | ibivibiv/math_instruct | |
Let m = -211 + 214. Put m, 1, -2, 2 in decreasing order.\n | m, 2, 1, -2\n | ibivibiv/math_instruct | |
Put -4, 5414, 3, 4 in descending order.\n | 5414, 4, 3, -4\n | ibivibiv/math_instruct | |
-11 + 7 + -4 - (-1 - 4)\n | -3\n | ibivibiv/math_instruct | |
Multiply -0.177 and 5.\n | -0.885\n | ibivibiv/math_instruct | |
Let o(w) = -w**3 - 4*w**2 + 3*w + 20. Let c be o(-3). Solve 3*u + 10 = c*n, -73*n = -74*n - 2*u - 9 for n.\n | -1\n | ibivibiv/math_instruct | |
Simplify (2*(sqrt(18) - 1*sqrt(1800))/(sqrt(9) - -2*sqrt(45)/sqrt(5)))**2.\n | 72\n | ibivibiv/math_instruct | |
Rearrange (-3*x**3 - 14330*x**2 - 253 + 7108*x**2 + 7224*x**2)*(-2*x - 5 + 5) to the form b + k*x**4 + p*x**2 + o*x**3 + u*x and give o.\n | -4\n | ibivibiv/math_instruct | |
What is -2.067 plus 0.1961?\n | -1.8709\n | ibivibiv/math_instruct | |
Let x(a) = a. Let k(t) = -44*t**2 + 7*t + 7. Let r(v) = -29*v**2 + 5*v + 5. Let f(h) = 5*k(h) - 7*r(h). What is f(x(i))?\n | -17*i**2\n | ibivibiv/math_instruct | |
Suppose 7 = -s - 2*m + 2, 0 = -2*s + 4*m + 22. Let h(j) = 3126*j**s - 10*j**2 + 5*j**2 + j**2. Let o be h(4). Round o to the nearest one hundred thousand.\n | 200000\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 145 and 239946.\n | 29\n | ibivibiv/math_instruct | |
Let r(z) = -z + 2. Let c be r(0). Suppose -2*j + 2 = -0*j. What is the biggest value in j, c, 5?\n | 5\n | ibivibiv/math_instruct | |
What is (-2)/2 + -1 + (-16)/(-10)?\n | -2/5\n | ibivibiv/math_instruct | |
Let b(d) = d**3 - 4*d**2 + 5*d - 4. Let a be b(0). Let z(n) = 4*n**2 + n - 1. Let i(w) = -3*w**2 - w + 1. What is a*z(p) - 5*i(p)?\n | -p**2 + p - 1\n | ibivibiv/math_instruct | |
Find g such that -3*g**5 - 5493*g**4 + 55146*g**3 - 154626*g**2 + 33273*g + 248535 = 0.\n | -1841, -1, 3, 5\n | ibivibiv/math_instruct | |
Solve -53*g + 59*g + 12 = 0 for g.\n | -2\n | ibivibiv/math_instruct | |
Calculate -1*(-6)/(-15)*(-4)/8.\n | 1/5\n | ibivibiv/math_instruct | |
In base 15, what is -d + -1?\n | -e\n | ibivibiv/math_instruct | |
Convert 100 (base 4) to base 15.\n | 11\n | ibivibiv/math_instruct | |
Let h(f) = 2*f**3 + 4*f**2 - 1. Let d(g) = -1 + 2*g + 3*g - 4*g - 5*g. Let l be d(-1). Let z(b) = -b**3 - 3*b**2 + 1. Calculate l*h(i) + 4*z(i).\n | 2*i**3 + 1\n | ibivibiv/math_instruct | |
Solve 2*a = -2*j + 8 + 40, 9*j + 129 = -4*a + 14*j for a.\n | -1\n | ibivibiv/math_instruct | |
Let m(v) = v**3 - 2*v + 61. Let b(o) = o. Let c(n) = -n - 29. Let u be c(-17). Let l(p) = u*b(p) - 3*m(p). Differentiate l(d) wrt d.\n | -9*d**2 - 6\n | ibivibiv/math_instruct | |
Solve -5*t = 5*m + 5 + 10, 3*t - 11 = m for m.\n | -5\n | ibivibiv/math_instruct | |
Let z be (-4)/(-6) - 16/12. Suppose 2*y = 2*j - 8, -2*j + 5*y + 18 + 2 = 0. Which is smaller: z or j?\n | z\n | ibivibiv/math_instruct | |
Calculate the remainder when 183 is divided by (-4 - (-45)/10)*(1 + 73).\n | 35\n | ibivibiv/math_instruct | |
In base 4, what is 3 + -1030?\n | -1021\n | ibivibiv/math_instruct | |
Let x be (7 + -166)/(6/(-4)). Suppose 10*k - x = 114. Calculate the least common multiple of k and 12.\n | 132\n | ibivibiv/math_instruct | |
Let a(i) = 3*i**2. Let h(j) = 26*j + 1257. What is h(a(p))?\n | 78*p**2 + 1257\n | ibivibiv/math_instruct | |
What is six fifths of a decade in months?\n | 144\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 2805 and 9435.\n | 255\n | ibivibiv/math_instruct | |
Let l be (-2)/(-12) - (-29)/6. Suppose 4*o + 2 = -3*a, 5*a - l - 7 = o. Let j be a/6*(7 + -16). Sort j, 1, -1.\n | j, -1, 1\n | ibivibiv/math_instruct | |
Let w be (2436/63)/29*6/40. Which is the third biggest value? (a) w (b) -1/23 (c) 1/2 (d) 0 (e) 5\n | a\n | ibivibiv/math_instruct | |
Let k(s) = 2*s**2 + 31*s + 40. What is k(-14)?\n | -2\n | ibivibiv/math_instruct | |
Let m(h) be the first derivative of 0*h**5 + 0*h**2 - 1/2*h**6 + 3/4*h**4 + 0*h**3 + 0*h + 3. Let m(y) = 0. Calculate y.\n | -1, 0, 1\n | ibivibiv/math_instruct | |
Simplify sqrt(468) + (sqrt(468) - (sqrt(468) + 0) - sqrt(468)) + 5.\n | 5\n | ibivibiv/math_instruct | |
Let a(q) = -21*q**2 + 3*q + 47. Let o(h) = 26*h**2. Determine a(o(z)).\n | -14196*z**4 + 78*z**2 + 47\n | ibivibiv/math_instruct | |
Let i(p) be the second derivative of p**3/6 + p**2 + p. Suppose 0 = -23*y + 11*y + 300. Suppose 73 = y*c - 52. Determine i(c).\n | 7\n | ibivibiv/math_instruct | |
Suppose -3*l = -4*l - 4. Let z(w) = -w**2 - 5*w - 1. Let v(j) = j**2 + 11*j + 6. Let u(r) = v(r) + 2*z(r). Determine u(l).\n | -16\n | ibivibiv/math_instruct |
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