instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let c(z) = z**3 - 6*z + 13. Let u be c(3). Suppose -82 = -2*g - 14. Let r = g + u. Calculate the greatest common divisor of 7 and r.\n | 7\n | ibivibiv/math_instruct | |
Which is the closest to 1/4? (a) 3/8 (b) 0.006 (c) 6 (d) -1/24\n | a\n | ibivibiv/math_instruct | |
Let u(y) = 40*y. Let p(w) = -w**2. What is p(u(h))?\n | -1600*h**2\n | ibivibiv/math_instruct | |
What is -0.4 less than -4444.7638822?\n | -4444.3638822\n | ibivibiv/math_instruct | |
What is prob of picking 2 n when two letters picked without replacement from {n: 2, q: 9, o: 7}?\n | 1/153\n | ibivibiv/math_instruct | |
Collect the terms in 30*d - 68*d + 0 + 38*d + 0 + 4*d**2.\n | 4*d**2\n | ibivibiv/math_instruct | |
Solve 28 = -4*q + 5*v, -13 = 4*q - v - 1 for q.\n | -2\n | ibivibiv/math_instruct | |
Round -5.58411489 to 1 dp.\n | -5.6\n | ibivibiv/math_instruct | |
Let v = -0.13 - -0.23. Let g = -346.2 + 346. What is the third biggest value in g, -4, v?\n | -4\n | ibivibiv/math_instruct | |
Which is the nearest to 9? (a) -5 (b) -4 (c) 4 (d) -0.3\n | c\n | ibivibiv/math_instruct | |
Suppose 3*q**4 + 19965*q**3 - 662115*q**2 - 19965*q + 662112 = 0. Calculate q.\n | -6688, -1, 1, 33\n | ibivibiv/math_instruct | |
Solve -r + c = 3 - 0, 4*r = -5*c + 24 for r.\n | 1\n | ibivibiv/math_instruct | |
Solve -4*q - 2*b + 2092 = 2234, 174 = -5*q + b for q.\n | -35\n | ibivibiv/math_instruct | |
Let z(v) be the first derivative of v**2/2 + 2*v + 1. Let a(w) = -1. Let o = -19836 - -19831. Give o*a(c) - 2*z(c).\n | -2*c + 1\n | ibivibiv/math_instruct | |
Round -40319.9122 to zero dps.\n | -40320\n | ibivibiv/math_instruct | |
Express 3 - 2*f**2 + 2 - 818*f**4 + 824*f**4 - 5 + 18*f in the form m*f**4 + h*f**2 + d*f**3 + u*f + k and give h.\n | -2\n | ibivibiv/math_instruct | |
Which is the second biggest value? (a) -6 (b) 27.7 (c) 5 (d) -2/503 (e) 2/7 (f) 3 (g) 0.1\n | c\n | ibivibiv/math_instruct | |
210/84*(18/15 - 2)\n | -2\n | ibivibiv/math_instruct | |
Let x(o) = -9835540*o**2 - 1. Let t(r) = 17*r. Determine x(t(d)).\n | -2842471060*d**2 - 1\n | ibivibiv/math_instruct | |
Does 24 divide 876?\n | False\n | ibivibiv/math_instruct | |
Simplify 4*(sqrt(125) + 2*(sqrt(125) - (sqrt(125) + -1)) + sqrt(125))**2 + -2 + -3 + sqrt(125) + 1.\n | 165*sqrt(5) + 2012\n | ibivibiv/math_instruct | |
Suppose -5*z = -17 - 3. Let g(o) = o**2 - 2*o + 1. Calculate the lowest common multiple of 6 and g(z).\n | 18\n | ibivibiv/math_instruct | |
Let f(i) be the third derivative of i**4/12 - i**3/2 + 2*i**2. Let g be f(4). Suppose 297 = 48*q - 21*q. Solve -g*z + 10 = -4*d - q, z + 11 = -3*d for d.\n | -4\n | ibivibiv/math_instruct | |
Let y(l) be the first derivative of -9*l**2/2 + 4*l - 212. Suppose 4*a + 8 = -44. What are the prime factors of y(a)?\n | 11\n | ibivibiv/math_instruct | |
Simplify ((-3*sqrt(3456))/(sqrt(3) - (sqrt(3) + -4*(sqrt(108) - sqrt(3)))))**2.\n | 648/25\n | ibivibiv/math_instruct | |
What is the next term in 10774, 42959, 96600, 171697, 268250, 386259?\n | 525724\n | ibivibiv/math_instruct | |
Differentiate -5*l*z**2 + 4*l*z + 20*l - 261*z**2 + z - 1 with respect to l.\n | -5*z**2 + 4*z + 20\n | ibivibiv/math_instruct | |
What is 332 minutes before 9:17 PM?\n | 3:45 PM\n | ibivibiv/math_instruct | |
What is seven eighths of a hour in seconds?\n | 3150\n | ibivibiv/math_instruct | |
What is prob of sequence kk when two letters picked without replacement from rkrkrrrrkrrrkkkrkkrk?\n | 18/95\n | ibivibiv/math_instruct | |
Let j = -25.28 - -20.28. Which is the second biggest value? (a) 3 (b) -1/7 (c) 0 (d) j\n | c\n | ibivibiv/math_instruct | |
Let f(m) = -2*m - 2. Let z(w) = w - 1. Let v be (-96)/(64/8)*1/3. Give v*z(l) + 2*f(l).\n | -8*l\n | ibivibiv/math_instruct | |
Let x = 30 + -19. Suppose 0 = 3*i - b - x, 0*i - 4*b - 12 = 4*i. What is the third derivative of 27*d**i - 14*d**2 - 12*d**2 - 15*d**6 wrt d?\n | -1800*d**3\n | ibivibiv/math_instruct | |
What is 153 minutes after 11:12 PM?\n | 1:45 AM\n | ibivibiv/math_instruct | |
Suppose -4*m - 5959984 = 4*f, 4*f = -2*m - 1508318 - 1471666. What is m rounded to the nearest one hundred thousand?\n | -1500000\n | ibivibiv/math_instruct | |
Let q = 14.474 - -0.026. Let v = q - 14.4878. Round v to 3 decimal places.\n | 0.012\n | ibivibiv/math_instruct | |
Let m = -0.98 - -1. Let p = 0.02 - m. Which is the biggest value? (a) 2 (b) -4 (c) p\n | a\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {m: 5, k: 2, n: 2, g: 3}. Give prob of picking 1 n and 2 m.\n | 1/11\n | ibivibiv/math_instruct | |
Collect the terms in 5 - 359824*l**3 + 359820*l**3 - 3 - 2.\n | -4*l**3\n | ibivibiv/math_instruct | |
List the prime factors of 4825147.\n | 23, 209789\n | ibivibiv/math_instruct | |
Suppose 4 + 5 = -c - 2*j, -23 = -3*c + 4*j. Let i = 2720/7 - 387. Let n = 95/56 - i. Which is greater: c or n?\n | c\n | ibivibiv/math_instruct | |
Find u such that -u**4/4 + 307*u**3/2 + 30315*u**2/4 + 7425*u = 0.\n | -45, -1, 0, 660\n | ibivibiv/math_instruct | |
What is the nearest to 0.1 in 1/7, -2/13, 127/2?\n | 1/7\n | ibivibiv/math_instruct | |
Which is the closest to -3? (a) 1 (b) -451 (c) 139 (d) -2 (e) -1\n | d\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 12 and 1431492.\n | 12\n | ibivibiv/math_instruct | |
Calculate the remainder when 1483 is divided by 45.\n | 43\n | ibivibiv/math_instruct | |
What is 492 to the power of 1/2, to the nearest integer?\n | 22\n | ibivibiv/math_instruct | |
Calculate the remainder when 630400551 is divided by 63.\n | 60\n | ibivibiv/math_instruct | |
How many millilitres are there in seventy-four fifths of a litre?\n | 14800\n | ibivibiv/math_instruct | |
Round -0.000832845422 to 4 dps.\n | -0.0008\n | ibivibiv/math_instruct | |
Is 1 >= 6789968?\n | False\n | ibivibiv/math_instruct | |
Factor -3*w**4 + 7914*w**3.\n | -3*w**3*(w - 2638)\n | ibivibiv/math_instruct | |
Let g be 64/48 + ((-7)/3 - -2). Suppose -7 = 6*x - 37. Is 11 a factor of (-7)/35 + 56/x*g?\n | True\n | ibivibiv/math_instruct | |
Let j(h) = 339*h + 4732. Determine j(-14).\n | -14\n | ibivibiv/math_instruct | |
Let k = -211 + 313. Calculate the remainder when k is divided by 36.\n | 30\n | ibivibiv/math_instruct | |
Let i = 0.88 - 0.98. Let b = 1 + -1.1. Let k = b + -1.9. What is the closest to i in -5, k, -1/4?\n | -1/4\n | ibivibiv/math_instruct | |
b"What is the xth term of -42, 225, 726, 1485, 2526, 3873?\n" | 4*x**3 + 93*x**2 - 40*x - 99\n | ibivibiv/math_instruct | |
Put -6646, -708, -3 in increasing order.\n | -6646, -708, -3\n | ibivibiv/math_instruct | |
Solve -221*m + 2626 + 20 = -890 for m.\n | 16\n | ibivibiv/math_instruct | |
Two letters picked without replacement from avayvuyyyyay. What is prob of picking 1 v and 1 y?\n | 2/11\n | ibivibiv/math_instruct | |
Let a(t) = 24*t**2 - 4*t - 937. Let o(j) = -80*j**2 + 14*j + 2811. Give 7*a(c) + 2*o(c).\n | 8*c**2 - 937\n | ibivibiv/math_instruct | |
What is the biggest value in -31/4, -174, -182?\n | -31/4\n | ibivibiv/math_instruct | |
Sort -5, -2/7, 1/4, 2/7.\n | -5, -2/7, 1/4, 2/7\n | ibivibiv/math_instruct | |
Solve 59*z - 36*z + 23 = 0 for z.\n | -1\n | ibivibiv/math_instruct | |
What is prob of sequence ffot when four letters picked without replacement from {c: 2, o: 1, f: 2, d: 1, t: 2}?\n | 1/420\n | ibivibiv/math_instruct | |
Let r(x) = 2*x**2 + 37*x + 1. Let m(a) = -5*a**2 - 110*a - 4. Determine 3*m(t) + 8*r(t).\n | t**2 - 34*t - 4\n | ibivibiv/math_instruct | |
Which is greater: 277/2 or 138?\n | 277/2\n | ibivibiv/math_instruct | |
Suppose -4*o - 1 = -2*i + 3, 3*o = -2*i - 3. List the prime factors of (i - (0 - 1)) + 1.\n | 2\n | ibivibiv/math_instruct | |
Does 818 divide 39486496?\n | True\n | ibivibiv/math_instruct | |
What is the units digit of 4137085?\n | 5\n | ibivibiv/math_instruct | |
Collect the terms in -4*w**3 - w**3 - 3*w**3 + 2*w**3.\n | -6*w**3\n | ibivibiv/math_instruct | |
Let k = 3.095 - 3.2. Let z = k - -0.595. Let t = z - 0.4871. Round t to 3 dps.\n | 0.003\n | ibivibiv/math_instruct | |
Calculate 1500 divided by -250.\n | -6\n | ibivibiv/math_instruct | |
Round -0.00000714507301 to six decimal places.\n | -0.000007\n | ibivibiv/math_instruct | |
Suppose -3*b**4/8 + 741*b**3/8 - 5673*b**2 - 5766*b = 0. Calculate b.\n | -1, 0, 124\n | ibivibiv/math_instruct | |
In base 14, what is -402c - 8b?\n | -40b9\n | ibivibiv/math_instruct | |
What is -2 times -125?\n | 250\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {b: 6, q: 1, y: 3, m: 1, i: 1, p: 5}. What is prob of picking 1 i and 3 y?\n | 1/2380\n | ibivibiv/math_instruct | |
Calculate the common denominator of 101/836 and 47/44847.\n | 3408372\n | ibivibiv/math_instruct | |
Let v(f) = 4*f**2 + 38*f + 46. Let b be v(-8). What is the second biggest value in -25.8, b, 2?\n | b\n | ibivibiv/math_instruct | |
What are the prime factors of 10248691?\n | 10248691\n | ibivibiv/math_instruct | |
Let r(l) = l + 1 + 4*l**2 + 5*l**3 - 4*l**3 - 5*l**2 + 24. Is r(0) prime?\n | False\n | ibivibiv/math_instruct | |
Calculate (-4 - (13 + -15)) + 4.\n | 2\n | ibivibiv/math_instruct | |
35/235*24*(-6)/(-168)\n | 6/47\n | ibivibiv/math_instruct | |
Let n(p) = p**2 + 12. Let y(c) = c + 1772. What is y(n(s))?\n | s**2 + 1784\n | ibivibiv/math_instruct | |
What is 1.323971199 rounded to one decimal place?\n | 1.3\n | ibivibiv/math_instruct | |
Let z(s) = 160789*s - 17525999. Give z(109).\n | 2\n | ibivibiv/math_instruct | |
Factor -881*q**5/3 + 7046*q**4/3 - 14080*q**3/3 - 32*q**2/3.\n | -q**2*(q - 4)**2*(881*q + 2)/3\n | ibivibiv/math_instruct | |
What is the smallest value in 86, -1, 0.3?\n | -1\n | ibivibiv/math_instruct | |
2/((-16)/5)*(-60)/100\n | 3/8\n | ibivibiv/math_instruct | |
What is (-1 - 5/(-3))*483/(-46)?\n | -7\n | ibivibiv/math_instruct | |
Let m(g) = 4*g**2 - 6*g + 1. What is the units digit of m(2)?\n | 5\n | ibivibiv/math_instruct | |
Let d(m) be the third derivative of -m**5/20 - m**4/8 + 11*m**2. Factor d(u).\n | -3*u*(u + 1)\n | ibivibiv/math_instruct | |
2612 (base 16) to base 7\n | 40262\n | ibivibiv/math_instruct | |
Let m(o) = -66*o**2 + 285. Let b(d) = 16*d**2 - 68. Let i(n) = -21*b(n) - 5*m(n). Let w(c) be the third derivative of -c**5/60 + 3*c**2. Give i(w(z)).\n | -6*z**4 + 3\n | ibivibiv/math_instruct | |
What is the nearest to 0.1 in -548, 5, -2/7?\n | -2/7\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 9776 and 473666.\n | 49261264\n | ibivibiv/math_instruct | |
10 + 11739\n | 11749\n | ibivibiv/math_instruct | |
Suppose -3 = 19*b - 20*b. Suppose i = -4*s + 5, -s - i = -b*i + 1. Let f(h) = 4*h + 1. Calculate f(s).\n | 5\n | ibivibiv/math_instruct | |
Expand ((2*j + j - j)*(-3 + 1 + 1) + (-1 - 9 + 1)*(2*j + 2 - 2))*(-5 - j + 5).\n | 20*j**2\n | ibivibiv/math_instruct |
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