instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
0 + (-3 - -7 - 2) - 12 - (1506 + -1594)\n | 78\n | ibivibiv/math_instruct | |
Let c(a) = 14*a**2 - 54*a + 2. Give c(4).\n | 10\n | ibivibiv/math_instruct | |
Suppose -3*j - 6 = -i - 10, -5*i + 5*j + 10 = 0. Suppose -q - d - 53 = -3*q, 5*q - 140 = -i*d. Solve 4*f = 3*h + q, -5*f + 3*h - 4*h = -10 for f.\n | 3\n | ibivibiv/math_instruct | |
What are the prime factors of 17878?\n | 2, 7, 1277\n | ibivibiv/math_instruct | |
What is the third smallest value in -2/5, 0, 238, 0.4, -2?\n | 0\n | ibivibiv/math_instruct | |
Convert -191 (base 14) to base 2.\n | -101000011\n | ibivibiv/math_instruct | |
What comes next: 679, -5212, -21351, -52862, -104869, -182496, -290867?\n | -435106\n | ibivibiv/math_instruct | |
Which is the second smallest value? (a) -1.4 (b) 285/11 (c) 21\n | c\n | ibivibiv/math_instruct | |
Is 1622562509 a prime number?\n | True\n | ibivibiv/math_instruct | |
Let m be 1140670/(-24) - 2/(-12). Let p = -47008 - m. Let d = 6043/12 - p. What is the common denominator of -12 and d?\n | 6\n | ibivibiv/math_instruct | |
-3.65 * 0.3\n | -1.095\n | ibivibiv/math_instruct | |
Let x(p) = -p**3 - 10*p**2 - 10*p - 3. Let c be x(-9). Let s = c + -6. Solve s*j = 3*j - 12 for j.\n | 4\n | ibivibiv/math_instruct | |
What is -0.0000008845537 rounded to 7 decimal places?\n | -0.0000009\n | ibivibiv/math_instruct | |
Let a = 29566 + -4755. Is a prime?\n | False\n | ibivibiv/math_instruct | |
Solve 11*r - 12*r + 5*u = -1, 4*u + 4 = 4*r for r.\n | 1\n | ibivibiv/math_instruct | |
Let l(x) be the third derivative of x**7/15 + 5*x**3/3 + 11*x**2. What is the first derivative of l(f) wrt f?\n | 56*f**3\n | ibivibiv/math_instruct | |
Let b = 6.3 + -5.8. What is the biggest value in 4, -1/9, b?\n | 4\n | ibivibiv/math_instruct | |
What is the nearest to 1 in 11, 3, -23658?\n | 3\n | ibivibiv/math_instruct | |
Solve -2*d + q = 2, d + 2 = -3*q + 1 for d.\n | -1\n | ibivibiv/math_instruct | |
Let h be (-80)/((-18)/27 - 1/(-3)). Suppose q - 58 = -w, 5*w - 3*q = 2*q + h. What is the units digit of w?\n | 3\n | ibivibiv/math_instruct | |
Suppose -8 - 7 = -5*o. Suppose -103 = -k + o*i, 3*k - 2*i = -0*i + 281. What are the prime factors of k?\n | 7, 13\n | ibivibiv/math_instruct | |
Solve 2225*n + 1043*n = -1561*n - 241450 for n.\n | -50\n | ibivibiv/math_instruct | |
Let q(u) = u**2. Let k(c) = 280543*c + 12. Calculate k(q(s)).\n | 280543*s**2 + 12\n | ibivibiv/math_instruct | |
Which is the second biggest value? (a) -1/10 (b) -6 (c) -11.5\n | b\n | ibivibiv/math_instruct | |
What is the distance between -0.4 and -10629?\n | 10628.6\n | ibivibiv/math_instruct | |
Simplify (((0 + sqrt(891)*1 - ((sqrt(891) + 0 - sqrt(891)) + -4 - sqrt(891))) + -3)*-5)**2.\n | 900*sqrt(11) + 89125\n | ibivibiv/math_instruct | |
What is the next term in -35994, -72062, -108130, -144198, -180266?\n | -216334\n | ibivibiv/math_instruct | |
List the prime factors of 1946907.\n | 3, 137, 1579\n | ibivibiv/math_instruct | |
Expand (2*w - 3*w + 2*w)*(-w + w + 2*w**2) + 2*w**3 + 3*w**3 + w**3 + ((1 + 0 + 2)*(-1 + 2 + 0) - 2 - 3 + 4)*(97 - 34*w**3 - 97).\n | -60*w**3\n | ibivibiv/math_instruct | |
Solve 461*p - 145*p = 175*p - 3807 for p.\n | -27\n | ibivibiv/math_instruct | |
Let v(q) = -5*q - 4. Let n be ((-18)/8)/((-3)/24). Suppose -5*l = l + n. Give v(l).\n | 11\n | ibivibiv/math_instruct | |
How many minutes are there between 9:07 AM and 3:21 PM?\n | 374\n | ibivibiv/math_instruct | |
Let m(w) = 2*w**3 + 312*w**2 + 4*w + 1419. Calculate m(-156).\n | 795\n | ibivibiv/math_instruct | |
Simplify ((i*i/i**(-8)*i)/(i/i**(-1/10)))**(7/3) assuming i is positive.\n | i**(231/10)\n | ibivibiv/math_instruct | |
Let 4*x**4 + 976*x**3 - 17496*x**2 + 66096*x + 84564 = 0. What is x?\n | -261, -1, 9\n | ibivibiv/math_instruct | |
Simplify (sqrt(245)*2)**2 + sqrt(245) + -3 - sqrt(245)*-2*2.\n | 35*sqrt(5) + 977\n | ibivibiv/math_instruct | |
Simplify (o/o**(-1/3)*o*o)**(1/12)*(o/((o*(o*o**(-2/5))/o)/o))/o**4 assuming o is positive.\n | o**(-209/90)\n | ibivibiv/math_instruct | |
Suppose 188 = 4*v + r - 3*r, 0 = -4*v + r + 190. Suppose -3*f + v = -5*f. Let i be 65/30 + 4/f. Solve 0 = -3*u + i*u - 1 for u.\n | -1\n | ibivibiv/math_instruct | |
Collect the terms in 2*a + 451 + 263 + 2402 + 179.\n | 2*a + 3295\n | ibivibiv/math_instruct | |
Let d = 7 - 7.1. Let c = -0.24 - 0. Let k = 0.06 - c. Put -0.4, d, k in increasing order.\n | -0.4, d, k\n | ibivibiv/math_instruct | |
List the prime factors of 13719.\n | 3, 17, 269\n | ibivibiv/math_instruct | |
Let h = 442.54 - 443. Let x = h - -3.46. What is the nearest to 3 in -3, -1, x?\n | x\n | ibivibiv/math_instruct | |
Divide -1756 by -4.\n | 439\n | ibivibiv/math_instruct | |
What is -103212 divided by -34404?\n | 3\n | ibivibiv/math_instruct | |
Simplify ((t/((t**0/t)/t*t))**9)**(-2/7)*(((t**(-4)/t)/t*t)/t**(-4/3))**(3/2) assuming t is positive.\n | t**(-149/14)\n | ibivibiv/math_instruct | |
b"What is the yth term of -15, -48, -103, -180, -279?\n" | -11*y**2 - 4\n | ibivibiv/math_instruct | |
Put -2/7, 6, 3, 0, -5, 0.4 in descending order.\n | 6, 3, 0.4, 0, -2/7, -5\n | ibivibiv/math_instruct | |
Let b = -1.167797114 + 11897.227727114. Let o = b + -11891.06. Let j = o + -5. Round j to four decimal places.\n | -0.0001\n | ibivibiv/math_instruct | |
Let x(a) = a**2 + 21*a + 34. Let p be x(-20). Suppose 0 = -5*w - p + 4. Let y(v) = 3*v - 3. Let s(f) = 4*f - 4. Let k(g) = -2*s(g) + 3*y(g). Determine k(w).\n | -3\n | ibivibiv/math_instruct | |
What is the common denominator of 143/144 and 145/264?\n | 1584\n | ibivibiv/math_instruct | |
Let r be (-1 - (6 - 9)) + 1 + -1. Let z be 6 - (3 + -4)/(-3 + r). Solve 3*s + k - 1 = 0, -5*s + 5*k + z - 10 = 0 for s.\n | 0\n | ibivibiv/math_instruct | |
Let y(v) = -v**2 - 2906*v + 143862. Give y(49).\n | -933\n | ibivibiv/math_instruct | |
What is the remainder when 36525116 is divided by 4565639?\n | 4\n | ibivibiv/math_instruct | |
Differentiate 103 - d + 27 + 139*d**3 - 5 - 84*d**3 + 99*d**3 with respect to d.\n | 462*d**2 - 1\n | ibivibiv/math_instruct | |
Is 20417262373 a composite number?\n | True\n | ibivibiv/math_instruct | |
Let l(s) = s**5 + 5*s**4 - 8*s**2 + 6*s + 2. Let f(c) = -c**5 - c**4 + c**3 - 2*c**2 + c - 1. Let u(n) = 2*f(n) + l(n). Determine g so that u(g) = 0.\n | -2, 0, 1, 2\n | ibivibiv/math_instruct | |
Simplify (-4 + -2 + sqrt(6)/sqrt(2))*2*5.\n | -60 + 10*sqrt(3)\n | ibivibiv/math_instruct | |
Rearrange -15*t - 33956*t**2 - 33892*t**2 + 67794*t**2 to the form h + u*t + r*t**2 and give u.\n | -15\n | ibivibiv/math_instruct | |
What is the value of (-9)/(-6) - 4/(-8)?\n | 2\n | ibivibiv/math_instruct | |
Let j(i) = 3*i + 21. Let w be j(-6). Let z be ((-513)/(-33))/w + 2/(-11). Let b be (-10)/(-5) - (-1 - 1). Solve -a + y = -0*a + z, -2*a = 5*y - b for a.\n | -3\n | ibivibiv/math_instruct | |
Let g(u) be the first derivative of -u**4/4 + 5*u**3/3 - 7*u**2/2 + 6*u - 4. Let p = -19 + 43. Let z = 28 - p. Give g(z).\n | -6\n | ibivibiv/math_instruct | |
-468144 divided by 6\n | -78024\n | ibivibiv/math_instruct | |
Let m = 39 - -21. Does 30 divide m?\n | True\n | ibivibiv/math_instruct | |
What is the hundreds digit of 276617?\n | 6\n | ibivibiv/math_instruct | |
Suppose 10*x - 4*x = 30. Suppose -1020 = -3*t - 2*t - 5*m, x*m - 212 = -t. What is t rounded to the nearest 10?\n | 200\n | ibivibiv/math_instruct | |
Let q = 2206.1 - 2206. Which is the fifth biggest value? (a) 16 (b) -2 (c) -6 (d) -1/6 (e) q\n | c\n | ibivibiv/math_instruct | |
Suppose k - 4*y = 4*k + 3, -k - 2*y = 1. Let x = -3 - k. Let c be -1*(-2 + -2)/(-8). Is x at most as big as c?\n | True\n | ibivibiv/math_instruct | |
Express -21648*z + 43326*z - 93 - 21649*z as h*z + x and give h.\n | 29\n | ibivibiv/math_instruct | |
Let n(y) be the first derivative of -y**4/2 - 70*y**3 + 1738. Factor n(v).\n | -2*v**2*(v + 105)\n | ibivibiv/math_instruct | |
Let o = 0.04 - -0.03. Sort 0.3, o, -2/13 in decreasing order.\n | 0.3, o, -2/13\n | ibivibiv/math_instruct | |
Evaluate (((-300)/(-9))/5)/(186/(-279)).\n | -10\n | ibivibiv/math_instruct | |
What is seven halves of a millennium in decades?\n | 350\n | ibivibiv/math_instruct | |
Find u such that 5*u**2 + 70*u + 65 = 0.\n | -13, -1\n | ibivibiv/math_instruct | |
What is the fourth smallest value in -0.246, -9, -38, 0.044, 0?\n | 0\n | ibivibiv/math_instruct | |
Let b = -19728 - -19854. Solve b*o + 1 = 125*o for o.\n | -1\n | ibivibiv/math_instruct | |
Three letters picked without replacement from kqkqkqqkkqqkkkqk. What is prob of picking 3 q?\n | 1/16\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 474146?\n | 4\n | ibivibiv/math_instruct | |
Let i(v) = v**2 - v + 1. Determine i(3).\n | 7\n | ibivibiv/math_instruct | |
What is the next term in 168, 567, 1006, 1317, 1332, 883, -198, -2079?\n | -4928\n | ibivibiv/math_instruct | |
Let j = -1225.353 + 1116.15. Let b = j + 1.973. What is b rounded to the nearest ten?\n | -110\n | ibivibiv/math_instruct | |
Suppose 18*n + 4*g - 96416 = 22*n, 0 = -2*n - g - 48196. Round n to the nearest 10000.\n | -20000\n | ibivibiv/math_instruct | |
Factor -2*w**2/9 - 1974850*w/3 - 23698168/9.\n | -2*(w + 4)*(w + 2962271)/9\n | ibivibiv/math_instruct | |
What is the highest common factor of 328 and 86756?\n | 164\n | ibivibiv/math_instruct | |
Simplify 3 + (5 + 2 + sqrt(605) - sqrt(605) - (sqrt(605) - ((-4 + 2*sqrt(605))**2 - sqrt(605)))).\n | -198*sqrt(5) + 2446\n | ibivibiv/math_instruct | |
Solve 331*y + 182 = 338*y, 63 = -3*w + 3*y for w.\n | 5\n | ibivibiv/math_instruct | |
Does 111 divide 28416?\n | True\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 281193687?\n | 9\n | ibivibiv/math_instruct | |
Let x = -7.255935 + 7.106. Let g = 628.15 - 628. Let o = x + g. Round o to 5 dps.\n | 0.00007\n | ibivibiv/math_instruct | |
What is 3703 to the power of 1/2, to the nearest integer?\n | 61\n | ibivibiv/math_instruct | |
Let c be ((-15)/(-10) - 1)*2*2. Suppose -2*f + 224 = 3*p - 3*f, 227 = 3*p + c*f. List the prime factors of p.\n | 3, 5\n | ibivibiv/math_instruct | |
Let p(v) = 106 - 39 + 6*v - v - 2*v**2 - 30 - 29. Calculate p(6).\n | -34\n | ibivibiv/math_instruct | |
b"What is the sth term of -129, -430, -737, -1050, -1369, -1694?\n" | -3*s**2 - 292*s + 166\n | ibivibiv/math_instruct | |
Simplify (y**1/y**(-10))**(-18/11) assuming y is positive.\n | y**(-18)\n | ibivibiv/math_instruct | |
Let h = 323/4 + -80. What is the third smallest value in h, 2/13, 0?\n | h\n | ibivibiv/math_instruct | |
What comes next: -7, -22, -43, -70, -103, -142?\n | -187\n | ibivibiv/math_instruct | |
Let b = 10354 - 10354. Let f(a) be the first derivative of b*a**3 - 5*a**4 + 0*a - 19 - 23/2*a**2. What is the second derivative of f(x) wrt x?\n | -120*x\n | ibivibiv/math_instruct | |
Let g(a) be the first derivative of -a - 3391. Let b(i) = i - 4. What is b(w) - 6*g(w)?\n | w + 2\n | ibivibiv/math_instruct | |
Solve 5 = z + u, -22 = -3*z + 81077*u - 81081*u for z.\n | -2\n | ibivibiv/math_instruct | |
What is -16630.9 less than 62746?\n | 79376.9\n | ibivibiv/math_instruct | |
Determine h so that -2*h**3 + 22362460*h**2 = 0.\n | 0, 11181230\n | ibivibiv/math_instruct |
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