instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
b"What is the ath term of 477, 957, 1437, 1917, 2397, 2877?\n" | 480*a - 3\n | ibivibiv/math_instruct | |
Let y = 937 - 373. Suppose 3*a + 1099 = 196. Let s = y + a. Is s composite?\n | False\n | ibivibiv/math_instruct | |
Let r(i) = -i**3 + 40*i**2 - 385*i - 1. What is r(24)?\n | -25\n | ibivibiv/math_instruct | |
How many minutes are there between 7:19 AM and 3:59 PM?\n | 520\n | ibivibiv/math_instruct | |
Let v(z) = -z**2 - 10*z - 7. What is v(-9)?\n | 2\n | ibivibiv/math_instruct | |
Expand -6*a**2 + 0*a**2 + 5*a**2 - 91*a + 63*a**2 + 91*a + 2*a**2 + 2 - 2 + (2 - 2 + 1)*(5*a**2 - 3*a**2 - 3*a**2).\n | 63*a**2\n | ibivibiv/math_instruct | |
Let y(h) be the second derivative of h**3/6 - 2*h. Let z(s) = -5*s. Give y(z(d)).\n | -5*d\n | ibivibiv/math_instruct | |
Is 62 even?\n | True\n | ibivibiv/math_instruct | |
What is the value of (3694037/(-15721) - -235) + (-7280)/474?\n | -46/3\n | ibivibiv/math_instruct | |
Suppose 1577*j = 1571*j + 510. What is the remainder when j is divided by 35?\n | 15\n | ibivibiv/math_instruct | |
What is 699568758 take away 1?\n | 699568757\n | ibivibiv/math_instruct | |
Expand (-256*c**2 + 20*c + 253*c**2 - 117*c)*(-12*c**2 + 23*c - 23*c).\n | 36*c**4 + 1164*c**3\n | ibivibiv/math_instruct | |
What is 49 minutes before 12:36 PM?\n | 11:47 AM\n | ibivibiv/math_instruct | |
Expand (-1740 + 47*b + 1740)*(-5 - 2 + 5).\n | -94*b\n | ibivibiv/math_instruct | |
Let t(r) = 14*r - 151. Let k be t(0). Is k at least as big as -151?\n | True\n | ibivibiv/math_instruct | |
Is 155306903 composite?\n | True\n | ibivibiv/math_instruct | |
What is v in v + 966*v**2 - 14*v - 108 - 5*v - 461*v**3 + 1831*v**3 + 519*v**4 - 169*v**4 = 0?\n | -3, -3/5, 2/7\n | ibivibiv/math_instruct | |
Determine y so that -5*y**4/3 + 430*y**3 + 17215*y**2 - 108410*y/3 = 0.\n | -37, 0, 2, 293\n | ibivibiv/math_instruct | |
Calculate (2/(-3))/((-14)/567*-9).\n | -3\n | ibivibiv/math_instruct | |
What is the cube root of 1312 to the nearest integer?\n | 11\n | ibivibiv/math_instruct | |
Put -687, 5, -2, -3, 0, 22 in increasing order.\n | -687, -3, -2, 0, 5, 22\n | ibivibiv/math_instruct | |
Let k = -95 + 173. Suppose -4*y - 4*m + 20 = 0, 64*y - 65*y - 4*m = -2. Calculate the greatest common factor of y and k.\n | 6\n | ibivibiv/math_instruct | |
Find the second derivative of 48*k**3*p**2 - 770*k**3*p - 4*p**2 wrt p.\n | 96*k**3 - 8\n | ibivibiv/math_instruct | |
Let c be (1*86)/(-6 + 7). Suppose -c = -6*w - 8. Calculate the remainder when w is divided by 7.\n | 6\n | ibivibiv/math_instruct | |
What is the common denominator of -95/252 and -59/612?\n | 4284\n | ibivibiv/math_instruct | |
Let w = 22 + -10. Suppose -25 - 38 = -3*q. Calculate the remainder when q is divided by -1 + (1 + 0)*w.\n | 10\n | ibivibiv/math_instruct | |
What is the hundreds digit of 3326?\n | 3\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 1485 and 325.\n | 5\n | ibivibiv/math_instruct | |
What is prob of sequence xllx when four letters picked without replacement from xllxllxl?\n | 1/14\n | ibivibiv/math_instruct | |
Express 3*n**3 + 2*n**3 - 4*n**3 + (3*n - n + 2*n)*(-21*n + 38*n - 28*n)*(-36*n - 1 + 31*n + 6) as x*n**3 + z*n + m + g*n**2 and give x.\n | 221\n | ibivibiv/math_instruct | |
What is 511358 to the power of 1/3, to the nearest integer?\n | 80\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 1954490 and 1980.\n | 10\n | ibivibiv/math_instruct | |
Suppose -2*v = 4*w - 2744, 2040 = 3*w - 2*v - v. What is the highest common divisor of w and 36?\n | 36\n | ibivibiv/math_instruct | |
Determine m so that m**4 + 10*m**3 - 71*m**2 + 60*m = 0.\n | -15, 0, 1, 4\n | ibivibiv/math_instruct | |
What is the value of 2 + 0 + -2 + (29 - 24)?\n | 5\n | ibivibiv/math_instruct | |
Let t = 3.4 - 0. Let a = 113.4 - t. Let x = -109.999853 + a. What is x rounded to five dps?\n | 0.00015\n | ibivibiv/math_instruct | |
What is the square root of 428 to the nearest integer?\n | 21\n | ibivibiv/math_instruct | |
What is 526 minutes after 10:01 AM?\n | 6:47 PM\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 12 and 210.\n | 6\n | ibivibiv/math_instruct | |
A math student studies Geometric Invariant Theory and is asked to find the polynomial equation of a conic section that goes through 5 given points in the Cartesian plane. The 5 points are (0,0), (2,1), (3,2), (1,3), and (-1,2). Can the student find the equation of the conic section that passes through these 5 points us... | Yes, the student can find the equation of the conic section that passes through these 5 points using the tools of Geometric Invariant Theory.
A general conic section in the Cartesian plane can be represented by a quadratic equation of the form:
Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0
To find the equation of the conic s... | ibivibiv/math_instruct | |
What is the next term in -1764957, -1764973, -1765003, -1765053, -1765129, -1765237, -1765383?\n | -1765573\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 161 and 14927.\n | 23\n | ibivibiv/math_instruct | |
Simplify -4*(4*sqrt(396)*1 + (0 + sqrt(396) + -3*sqrt(396))**2)*-2.\n | 192*sqrt(11) + 12672\n | ibivibiv/math_instruct | |
Let u(g) be the third derivative of -3*g**7/70 + 11*g**4/24 - 10*g**2. Find the second derivative of u(q) wrt q.\n | -108*q**2\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {k: 4, q: 4, j: 2, p: 4}. What is prob of picking 2 p and 2 k?\n | 36/1001\n | ibivibiv/math_instruct | |
In base 15, what is -2 + 8359a?\n | 83598\n | ibivibiv/math_instruct | |
Collect the terms in 162*q**2 - 2*q**3 - 162*q**2.\n | -2*q**3\n | ibivibiv/math_instruct | |
How many millimeters are there in thirty-seven fifths of a meter?\n | 7400\n | ibivibiv/math_instruct | |
Let k(w) = -63*w + 26. Is k(-5) prime?\n | False\n | ibivibiv/math_instruct | |
Simplify (2*sqrt(245) + -4)*-2 + 3 - ((sqrt(245) + 0)*6 + (-2*(sqrt(245) + 0))**2).\n | -969 - 70*sqrt(5)\n | ibivibiv/math_instruct | |
Expand (f - 3*f - f)*(0*f**2 + 11*f - 6*f - 2*f**2).\n | 6*f**3 - 15*f**2\n | ibivibiv/math_instruct | |
In base 3, what is 1000111 + -1?\n | 1000110\n | ibivibiv/math_instruct | |
61005087 divided by -43857\n | -1391\n | ibivibiv/math_instruct | |
What is the next term in -4593, -9208, -13825, -18444, -23065, -27688, -32313?\n | -36940\n | ibivibiv/math_instruct | |
Sort -1, -87, -67, 3, 2, -5 in increasing order.\n | -87, -67, -5, -1, 2, 3\n | ibivibiv/math_instruct | |
What is the highest common factor of 559 and 977327?\n | 13\n | ibivibiv/math_instruct | |
Let n(z) = z - 2. Let h(g) = g**2 - 6*g - 5. Let l be h(7). Let r be n(l). Suppose -6/11*d + 4/11 + r*d**2 + 2/11*d**3 = 0. What is d?\n | -2, 1\n | ibivibiv/math_instruct | |
Find v such that -2*v**3 - 5458*v**2 - 10910*v - 5454 = 0.\n | -2727, -1\n | ibivibiv/math_instruct | |
b"What is the gth term of -17, -25, -25, -11, 23?\n" | g**3 - 2*g**2 - 9*g - 7\n | ibivibiv/math_instruct | |
List the prime factors of 12862.\n | 2, 59, 109\n | ibivibiv/math_instruct | |
Solve -2*m - 16 = 4*o, 4*o = m - 5425 + 5403 for m.\n | 2\n | ibivibiv/math_instruct | |
Let j(f) = -f. Let c = -12 + 9. Let m(o) = -8*o + 6. Let z(w) = c*j(w) - m(w). Is z(7) composite?\n | False\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 73388?\n | 7\n | ibivibiv/math_instruct | |
What are the prime factors of 217574?\n | 2, 7, 15541\n | ibivibiv/math_instruct | |
Let a = -0.1615195 + 0.1609. What is a rounded to four decimal places?\n | -0.0006\n | ibivibiv/math_instruct | |
Let w(s) = -8*s**2 + 65*s - 96. Let x be w(6). Let i(z) = -2*z - 6. Let f be ((-6)/4)/((-9)/(-24)). Let l be i(f). Solve 0*d + x = l*d for d.\n | 3\n | ibivibiv/math_instruct | |
What is ((1/5)/(21/63))/1?\n | 3/5\n | ibivibiv/math_instruct | |
What is (19383/546)/((-3)/(-6))?\n | 71\n | ibivibiv/math_instruct | |
Let n = 19 - 5. What are the prime factors of 2936/n + 4/14?\n | 2, 3, 5, 7\n | ibivibiv/math_instruct | |
What is 100000 (base 2) in base 9?\n | 35\n | ibivibiv/math_instruct | |
Simplify ((w*w**(-4)*w)/w)**50/(w**(27/5)/(w*w**1)) assuming w is positive.\n | w**(-767/5)\n | ibivibiv/math_instruct | |
Let c = 64 + -474. Let v = c + 638. What is the tens digit of v?\n | 2\n | ibivibiv/math_instruct | |
Let h be 3/((-6)/(-4)*1). Suppose 571*v - 44 = 549*v. Suppose -h*t - 3*t = 3*r - 115, 5*t = -v*r + 120. Is t a multiple of 13?\n | True\n | ibivibiv/math_instruct | |
Let v(d) be the third derivative of 1/24*d**4 + d**2 + 0 + 1/2*d**3 + 0*d. What is the derivative of v(r) wrt r?\n | 1\n | ibivibiv/math_instruct | |
Simplify 6*(-1*(sqrt(6)/sqrt(2)*-1 + sqrt(12)/sqrt(4) + 3 - (sqrt(108)*-1 - sqrt(24)/sqrt(2))))**2.\n | 288*sqrt(3) + 1206\n | ibivibiv/math_instruct | |
Collect the terms in -323*m**3 - 332*m**3 + 644*m**3.\n | -11*m**3\n | ibivibiv/math_instruct | |
What is the units digit of (-393)/(-5895) + (-416908)/(-30)?\n | 7\n | ibivibiv/math_instruct | |
Let r = -281 - -922. Is r composite?\n | False\n | ibivibiv/math_instruct | |
Calculate prob of sequence tjl when three letters picked without replacement from yfyyfylyjfyyjyytyyy.\n | 1/2907\n | ibivibiv/math_instruct | |
Find the first derivative of -138*k**3 - 2*k - 288*k**3 - k**2 + k**2 + 277*k**3 - 42 wrt k.\n | -447*k**2 - 2\n | ibivibiv/math_instruct | |
Let t(u) = 2*u. Let v be (-4)/(-5) + 484/20 + -1. Let a(k) = -12*k**2 + v*k**2 - k**2 - 4*k. What is t(a(b))?\n | 22*b**2 - 8*b\n | ibivibiv/math_instruct | |
Round -1005.306 to the nearest ten.\n | -1010\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 5742287897?\n | 2\n | ibivibiv/math_instruct | |
What is -0.446205 rounded to 2 decimal places?\n | -0.45\n | ibivibiv/math_instruct | |
-1*1/(-18)*40/(-5)\n | -4/9\n | ibivibiv/math_instruct | |
What is the first derivative of 22*i**3*t - 95*i**3 + 212*i**2*t - 2*t**3 - 244 wrt t?\n | 22*i**3 + 212*i**2 - 6*t**2\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 11 and 1498.\n | 16478\n | ibivibiv/math_instruct | |
Let g = 6.9 - 9. Let s = -5 - -7. Let z = s + g. Round z to one decimal place.\n | -0.1\n | ibivibiv/math_instruct | |
Divide -228 by 38.\n | -6\n | ibivibiv/math_instruct | |
What is the greatest common factor of 42 and 1596?\n | 42\n | ibivibiv/math_instruct | |
Which is bigger: 1.78 or 1681582?\n | 1681582\n | ibivibiv/math_instruct | |
Let q = -12 - -28. Let g be (-3 + q/5)/(-1). Put -4, 0, g in ascending order.\n | -4, g, 0\n | ibivibiv/math_instruct | |
Let b(t) = 14*t**3 - 3*t**2 + t - 2. Let s be b(2). Suppose -22 = -2*h - 8. Suppose -h*i = -2*i - s. What is the tens digit of i?\n | 2\n | ibivibiv/math_instruct | |
Let d = -2/2711 + 97610/18977. What is r in 2*r**4 + 6/7 + 2/7*r**5 + 26/7*r + d*r**3 + 44/7*r**2 = 0?\n | -3, -1\n | ibivibiv/math_instruct | |
What is -167631810 rounded to the nearest one hundred thousand?\n | -167600000\n | ibivibiv/math_instruct | |
Suppose -29*z + 19 = -10*z. Solve -2 = c - z for c.\n | -1\n | ibivibiv/math_instruct | |
Let g = 1 + -1. Let z = g + 5. Let o = 1.7 - 6.7. Which is the second smallest value? (a) z (b) 2/13 (c) o\n | b\n | ibivibiv/math_instruct | |
What is the units digit of 465916?\n | 6\n | ibivibiv/math_instruct | |
Calculate the remainder when 900549 is divided by 60.\n | 9\n | ibivibiv/math_instruct | |
What is eighteen fifths of a litre in millilitres?\n | 3600\n | ibivibiv/math_instruct |
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