instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose -493 = -4*f - 5*j, 0 = -3*f - 4*j + 137 + 233. Suppose 0 = -3*g - 2*v + 22 + 52, -3*v = 5*g - f. Is 20 != g?\n | True\n | ibivibiv/math_instruct | |
In base 9, what is -32044 - 153?\n | -32207\n | ibivibiv/math_instruct | |
What is 11/2 of a centimeter in micrometers?\n | 55000\n | ibivibiv/math_instruct | |
Let c(j) = 11*j + 7. Let n = 71 - 50. What is the remainder when c(5) is divided by n?\n | 20\n | ibivibiv/math_instruct | |
Simplify (sqrt(88) + (sqrt(88) + sqrt(88)*-1)*-3 + sqrt(88) - sqrt(88))/sqrt(8).\n | sqrt(11)\n | ibivibiv/math_instruct | |
Let b(f) = 4*f**3 + 3*f**2 - 3*f - 3. Let q(y) = -2*y**2 - 2*y**2 - 7*y**3 - y**2 + 5*y + 5. Suppose 4*n + 15 = 3*r + n, 15 = 3*n. Determine r*b(p) + 6*q(p).\n | -2*p**3\n | ibivibiv/math_instruct | |
What is (-10)/25*-150*(-54)/135?\n | -24\n | ibivibiv/math_instruct | |
Simplify (2 + (sqrt(128) - (sqrt(128) + -1)) - (sqrt(128)*1 + 2))**2*-1.\n | -129 + 16*sqrt(2)\n | ibivibiv/math_instruct | |
Let r(n) = -5*n + n**3 + 2*n + 4*n**3. Suppose -128*q - 50 = 78. Let a(d) = d**3 - d - 1. Calculate q*r(w) + 3*a(w).\n | -2*w**3 - 3\n | ibivibiv/math_instruct | |
Let h = 4 - 7. Let p = -3 - 0. Let u = h - p. Which is smaller: -1 or u?\n | -1\n | ibivibiv/math_instruct | |
Solve -54*p = 133 + 29 for p.\n | -3\n | ibivibiv/math_instruct | |
Sort -5/3, -146, -0.074763 in descending order.\n | -0.074763, -5/3, -146\n | ibivibiv/math_instruct | |
Let f(b) = b**3 - 16*b**2 + 16*b + 10. Let a be f(15). Suppose 4*c + 0*c - 7 = -w, -a = 5*w. What is the remainder when c is divided by 3?\n | 0\n | ibivibiv/math_instruct | |
What is -28812 divided by -6?\n | 4802\n | ibivibiv/math_instruct | |
Suppose -28 = 4*a, -467*q = -471*q + 3*a + 16949. Is 4234 <= q?\n | False\n | ibivibiv/math_instruct | |
Let c(p) = -3*p**3 - p**2 + p - 1. Let x(y) = 142*y**3 - 4*y**2 + 89*y - 3. Let h(l) = -4*c(l) + x(l). Find the second derivative of h(o) wrt o.\n | 924*o\n | ibivibiv/math_instruct | |
What is the nearest to -2 in -6, 0.18, -2/9?\n | -2/9\n | ibivibiv/math_instruct | |
How many minutes are there in 2974.4181us?\n | 0.000049573635\n | ibivibiv/math_instruct | |
Suppose l - 6*l - 1335 = 5*u, 4*l + 2*u + 1058 = 0. Let i = 263 + l. Solve i = -4*a - 3*h - 12, 2*h + 6 = 0 for a.\n | -1\n | ibivibiv/math_instruct | |
How many minutes are there between 9:35 PM and 5:57 AM?\n | 502\n | ibivibiv/math_instruct | |
Evaluate 9/60*(-392)/(-147).\n | 2/5\n | ibivibiv/math_instruct | |
Let g(m) = m. Let o be g(-2). Let t be -4 - -6 - o*1. Suppose c + 4*u = 17, -t*c = -6*c + 4*u - 2. What is the units digit of c?\n | 5\n | ibivibiv/math_instruct | |
Collect the terms in -30*q + 26*q + 45*q**3 - 43*q**3.\n | 2*q**3 - 4*q\n | ibivibiv/math_instruct | |
Suppose -3*y - 33 = 4*s + 2*y, 2*y - 5 = s. Let z = s - -13. Let q(h) = -h**3 + 9*h**2 - 8*h + 5. Is q(z) a prime number?\n | False\n | ibivibiv/math_instruct | |
Find the third derivative of -56969*b**3*p**3 + 2*b**3*p + 74*b**2*p**3 + 6*b**2 - 7*p**3 - 12*p**2 wrt b.\n | -341814*p**3 + 12*p\n | ibivibiv/math_instruct | |
Is 10961885887 prime?\n | False\n | ibivibiv/math_instruct | |
Add together 51523.1532 and -52.\n | 51471.1532\n | ibivibiv/math_instruct | |
Let t = -127 + 106. Let n be (-12)/t - 116/56. What is the fourth biggest value in 2/15, -0.2, 0.3, n?\n | n\n | ibivibiv/math_instruct | |
What is the remainder when (-1 - -3)*-1 - -40 is divided by (-1 - (-3 - 6/(-2)))*-10?\n | 8\n | ibivibiv/math_instruct | |
What is 9475.2 minus 88598.8?\n | -79123.6\n | ibivibiv/math_instruct | |
Does 11 divide 15301?\n | True\n | ibivibiv/math_instruct | |
Simplify -5*(sqrt(343) + 0) - sqrt(343).\n | -42*sqrt(7)\n | ibivibiv/math_instruct | |
What is (-262)/(-13755)*35/14*21/12?\n | 1/12\n | ibivibiv/math_instruct | |
Let m = -454/3395 - -50/291. What is the common denominator of 25/36 and m?\n | 1260\n | ibivibiv/math_instruct | |
Let l = 227 - -924. Is l a composite number?\n | False\n | ibivibiv/math_instruct | |
Factor g**3/6 - 37*g**2/3 + 68*g/3 + 96.\n | (g - 72)*(g - 4)*(g + 2)/6\n | ibivibiv/math_instruct | |
Suppose 0 = -5*x - 3*l + 14, 2*x = -2*x - 2*l + 12. Suppose -42 - 216 = 6*d. Let i = 71 + d. Calculate the highest common divisor of i and x.\n | 4\n | ibivibiv/math_instruct | |
Expand -1 - 4*t**3 + 5*t**3 - 2 + (-2*t - 2*t + t)*(-2 + 2 + t**2) - t**3 + 0 + 0 + t - t - t**3 + (t**2 - 3*t**2 + 0*t**2)*(0*t - 2*t - 2*t).\n | 4*t**3 - 3\n | ibivibiv/math_instruct | |
Solve 1139 + 1440 - 47 - 195 = 123*p for p.\n | 19\n | ibivibiv/math_instruct | |
Suppose 10*i - 15 = 5*i - 5*a, -4*a - 8 = -i. Solve -3*u + 2 = -5*u - 5*q, 0 = 4*u + i*q + 4 for u.\n | -1\n | ibivibiv/math_instruct | |
Let n(g) = -65*g**3 + 106*g**2 + 326*g + 1. Is n(-14) prime?\n | False\n | ibivibiv/math_instruct | |
Let j = -0.01 - 0.39. Let d = 33.31 + 0.69. Let z = d + -35. Which is the nearest to 0.2? (a) j (b) z (c) 2\n | a\n | ibivibiv/math_instruct | |
Collect the terms in -79*r + 127*r - 69*r.\n | -21*r\n | ibivibiv/math_instruct | |
What is the product of 110 and 0.4?\n | 44\n | ibivibiv/math_instruct | |
What is the thousands digit of 54178825?\n | 8\n | ibivibiv/math_instruct | |
What is the third derivative of -9457*l**3*o**2 - 161*l**2*o**2 + 3*l**2 + 4*l*o wrt l?\n | -56742*o**2\n | ibivibiv/math_instruct | |
Let h(q) be the second derivative of 4*q**3/3 + 5*q**2/2 - 2*q - 145. Calculate h(-6).\n | -43\n | ibivibiv/math_instruct | |
Expand (-2*b**2 + 1 - 1)*(-1 + 1 + 1) - b**2 + 2*b - 5*b + 2*b + 22*b**2 + 593*b - 1229*b + 602*b.\n | 19*b**2 - 35*b\n | ibivibiv/math_instruct | |
What is the highest common factor of 276 and 12?\n | 12\n | ibivibiv/math_instruct | |
Let q(o) = 2*o**3 + 88*o**2 - 79*o - 83. List the prime factors of q(-24).\n | 29, 857\n | ibivibiv/math_instruct | |
Let q(j) be the third derivative of j**5/60 + 3*j**2. Let f(a) = a. Calculate f(q(l)).\n | l**2\n | ibivibiv/math_instruct | |
What is next in 250, 369, 486, 601, 714, 825?\n | 934\n | ibivibiv/math_instruct | |
Let f(h) = 11*h**2 + h - 5 - 2*h + 4. Let t(c) = c**2 + 58 + 21*c + 15*c + 51 - 42. Let x be t(-34). Calculate f(x).\n | 11\n | ibivibiv/math_instruct | |
Calculate 77 divided by -5.\n | -77/5\n | ibivibiv/math_instruct | |
Let w(o) = 3*o**2 - 25*o + 22. Let g(s) = s**2 - 8*s + 7. Let h(b) = -7*g(b) + 2*w(b). Suppose -15 = -4*t + t. Let l be h(t). Sort 2, l, -5 in ascending order.\n | -5, l, 2\n | ibivibiv/math_instruct | |
Let h = -46 - -49. Suppose -h = -l + 2*v + 52, l = -5*v + 20. Calculate the remainder when l is divided by 12.\n | 9\n | ibivibiv/math_instruct | |
1 + 14 + (73 - (61 - -20))\n | 7\n | ibivibiv/math_instruct | |
Let o(m) = 4 + 8*m + 3 - 7. Let d(a) = a**3 + 27*a**2 - 192*a + 202. Let j be d(-33). What is o(j)?\n | 32\n | ibivibiv/math_instruct | |
Let c be (-2 - -1)*1/1. Sort c, 4, -5, 10.\n | -5, c, 4, 10\n | ibivibiv/math_instruct | |
Determine x, given that -x**5/3 - 130798*x**4 - 653976*x**3 + 6670634*x**2/3 + 2746723*x = 0.\n | -392389, -7, -1, 0, 3\n | ibivibiv/math_instruct | |
Convert -3 (base 11) to base 7.\n | -3\n | ibivibiv/math_instruct | |
Factor 2*j**3 + 2228*j**2 - 260874*j + 512820.\n | 2*(j - 105)*(j - 2)*(j + 1221)\n | ibivibiv/math_instruct | |
Let b = -1535 - -1534.98754. What is b rounded to 3 dps?\n | -0.012\n | ibivibiv/math_instruct | |
Solve -52*a + 55*a + 16 = -2*v, 0 = 5*v - 3*a - 2 for v.\n | -2\n | ibivibiv/math_instruct | |
Let j = 227333/19 - 11965. Which is the closest to -0.04? (a) -4 (b) j (c) 2/5 (d) 3/4\n | b\n | ibivibiv/math_instruct | |
What is the units digit of 79365?\n | 5\n | ibivibiv/math_instruct | |
Simplify ((-3*-3*sqrt(1152) - sqrt(1152))*5)/((-4*sqrt(36)*2)/((sqrt(108)/sqrt(3))/sqrt(4))).\n | -60*sqrt(2)\n | ibivibiv/math_instruct | |
Let s = -115 + 162. What is the remainder when 1*(981 - -4 - 0) is divided by s?\n | 45\n | ibivibiv/math_instruct | |
Calculate 3 + 13 - (38 - 25).\n | 3\n | ibivibiv/math_instruct | |
Let j = 0.167 - -0.033. Put -3, -9, j, -2 in increasing order.\n | -9, -3, -2, j\n | ibivibiv/math_instruct | |
Let y = 0 - 0. Suppose 0 = -y*s - 4*s + 8. What is the third derivative of 4*p**2 - 6*p**2 + 3*p**s + p**5 wrt p?\n | 60*p**2\n | ibivibiv/math_instruct | |
Evaluate (360/(-75))/((3/6)/(55/(-33))).\n | 16\n | ibivibiv/math_instruct | |
Solve -224*m + 56*m - 8166602 = -8184410 for m.\n | 106\n | ibivibiv/math_instruct | |
Let w be ((-1)/3)/((-2)/24). Let p be (-4 - 18/(-7)) + w. Factor 8/7 + p*u**4 - 60/7*u**3 + 40/7*u + 26/7*u**2.\n | 2*(u - 2)**2*(3*u + 1)**2/7\n | ibivibiv/math_instruct | |
Simplify (sqrt(792)*-2*3*3)/((sqrt(6) - sqrt(18)/(sqrt(3) - sqrt(75)))/sqrt(3)*4).\n | -108*sqrt(11)/5\n | ibivibiv/math_instruct | |
In base 13, what is -781cb - -35?\n | -78196\n | ibivibiv/math_instruct | |
Let x be 9594/4 - (4/8)/(-1). Let p = x - 1660. Is p a composite number?\n | False\n | ibivibiv/math_instruct | |
What is the nearest to 2026 in 4, -2, 2.5?\n | 4\n | ibivibiv/math_instruct | |
What is the thousands digit of 3376?\n | 3\n | ibivibiv/math_instruct | |
Let f be 1/((-5)/1) - (-1)/5. Let p = -848/9 - -94. Which is the second biggest value? (a) p (b) 4 (c) f\n | c\n | ibivibiv/math_instruct | |
Expand (3*q - 2*q + 3*q)*((1 - 1 + 2)*(-1 + 2 - 3) + (3 - 5 + 3)*(3 + 2 - 6)).\n | -20*q\n | ibivibiv/math_instruct | |
Let o be -1*(0 - 1) - -2. Let x(u) = 666*u + 2. Let c be x(o). Round c to the nearest ten thousand.\n | 0\n | ibivibiv/math_instruct | |
Differentiate -109*c**4*l - 152346*c**4 + 801119447*l wrt c.\n | -436*c**3*l - 609384*c**3\n | ibivibiv/math_instruct | |
Solve 5*b - 1547*k + 1549*k - 21 = 0, 2*k = b + 3 for b.\n | 3\n | ibivibiv/math_instruct | |
Solve 77 = -56*b + 46 - 81 for b.\n | -2\n | ibivibiv/math_instruct | |
b"What is the zth term of 52, 1497, 5748, 14209, 28284, 49377, 78892?\n" | 234*z**3 - z**2 - 190*z + 9\n | ibivibiv/math_instruct | |
32 + 22 + -91 - -30\n | -7\n | ibivibiv/math_instruct | |
What is 66835358 to the power of 1/8, to the nearest integer?\n | 10\n | ibivibiv/math_instruct | |
Suppose -u = 4*u + 4*l - 16, 3*u + 2*l = 8. Is 20 a factor of 40/(u - (0 + -1))?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in 590 - 16*q**3 - 214 + 249 - 211 - 210 - 207.\n | -16*q**3 - 3\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {a: 7, e: 3, t: 1, m: 3, w: 1, j: 2}. What is prob of picking 1 e and 1 t?\n | 3/136\n | ibivibiv/math_instruct | |
Evaluate 90/(-2)*(-10224)/8520.\n | 54\n | ibivibiv/math_instruct | |
Express 0*u + u + u + (18 - 18 - 6*u)*(-5 + 1 + 2) as h + o*u and give o.\n | 14\n | ibivibiv/math_instruct | |
Sort -4, -1/2, 4498, 91/5 in decreasing order.\n | 4498, 91/5, -1/2, -4\n | ibivibiv/math_instruct | |
Four letters picked without replacement from qqqsoqpqpopsp. What is prob of sequence qqqo?\n | 1/143\n | ibivibiv/math_instruct | |
List the prime factors of 14290282.\n | 2, 1153, 6197\n | ibivibiv/math_instruct | |
Calculate (1116/(-30))/(2142/(-5355)).\n | 93\n | ibivibiv/math_instruct | |
Suppose -4*r = r + 5975. Let i(h) = 247*h + 385. Let j be i(11). Let c = j + r. Is c composite?\n | False\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 498248 and 1021.\n | 498248\n | ibivibiv/math_instruct | |
What is 17/2 of a meter in millimeters?\n | 8500\n | ibivibiv/math_instruct |
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