instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Calculate the common denominator of 79/1911102 and -85/34512.\n | 15288816\n | ibivibiv/math_instruct | |
What is -1372973 rounded to the nearest 1000?\n | -1373000\n | ibivibiv/math_instruct | |
Let t(q) = q + 2. Let f(m) = -2*m**2 - 7*m - 25. Give -f(h) - 6*t(h).\n | 2*h**2 + h + 13\n | ibivibiv/math_instruct | |
Suppose 0*t - 6 = i + 2*t, 0 = -3*i - 3*t - 3. Suppose 3*q - 2 = 2*o, -4*q = -q + 4*o + i. Solve q = -6*y + 10*y - 20 for y.\n | 5\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {a: 2, z: 1, y: 10, f: 1}. What is prob of picking 1 a and 1 f?\n | 2/91\n | ibivibiv/math_instruct | |
What is -20.8969 - -4029?\n | 4008.1031\n | ibivibiv/math_instruct | |
Let m(t) = -t + 1. Let l be m(10). Let r(w) = -w**3 + 5*w**2 + 8*w + 3. Let q be r(6). Let u = q + l. Calculate the remainder when 11 is divided by u.\n | 5\n | ibivibiv/math_instruct | |
Let s = -10.7 - -11. Let g = s - 0.6. Let i be (-5)/(-8)*(-6)/(-15). Which is the closest to i? (a) g (b) -0.5 (c) 3\n | a\n | ibivibiv/math_instruct | |
Let l be (-8)/4 + 3 - 4. Let a = l + 5. Factor -1/3*g**a + 0 - 1/3*g.\n | -g*(g + 1)/3\n | ibivibiv/math_instruct | |
Suppose 0 = -4*v + 5*i + 16423, -4111 = -v - 0*i + 3*i. Suppose 4*g = 4, r + 3*g + 0*g = v. Is r a prime number?\n | True\n | ibivibiv/math_instruct | |
Add together 1788698 and 928.\n | 1789626\n | ibivibiv/math_instruct | |
Let o = 6.427 - 9.49. Let p = 0.037 - o. Let z = -0.1 + p. Which is the closest to -1/3? (a) z (b) 0 (c) -1\n | b\n | ibivibiv/math_instruct | |
Let m(x) = 9*x. Let g be 4 - 10*(-4)/(-8). Let r(q) = -3*q**3. Let y be r(g). Let j(f) = 1690 + y*f - 1690. What is m(j(l))?\n | 27*l\n | ibivibiv/math_instruct | |
Suppose 6 = 5*v + 1. Let l be (-1 - 0 - -4)/v. Suppose o = l*o - 16. What is the units digit of o?\n | 8\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {a: 1, k: 1, e: 1, h: 1, u: 1}. Give prob of picking 1 h and 1 a.\n | 1/10\n | ibivibiv/math_instruct | |
b"What is the dth term of 3718594, 3718593, 3718592, 3718591?\n" | -d + 3718595\n | ibivibiv/math_instruct | |
Let r = -3.1 + 5. Let u = r - -1.1. Let m = -992 + 991. What is the nearest to m in u, 0.2, -2?\n | -2\n | ibivibiv/math_instruct | |
What is the nearest to 7 in -2/9, -3, 5/4?\n | 5/4\n | ibivibiv/math_instruct | |
Calculate (-110)/38 + (-1 - (-85)/95).\n | -3\n | ibivibiv/math_instruct | |
What is 439 minutes after 7:22 PM?\n | 2:41 AM\n | ibivibiv/math_instruct | |
b"What is the zth term of 634, 624, 614, 604, 594?\n" | -10*z + 644\n | ibivibiv/math_instruct | |
Let y be -24 + 6/15*(1 - -4). Let k be 52/165 - y/(-121). Let q = -3421/13 + 263. Sort -2, q, 0.3, k in decreasing order.\n | 0.3, k, q, -2\n | ibivibiv/math_instruct | |
What is the second smallest value in 1.542, -1, 2, 4?\n | 1.542\n | ibivibiv/math_instruct | |
Which is the nearest to -2? (a) 4/3 (b) -0.2 (c) -0.02 (d) 2/13\n | b\n | ibivibiv/math_instruct | |
Suppose -2193 = -28*c - 961. Put c, 1, 12 in increasing order.\n | 1, 12, c\n | ibivibiv/math_instruct | |
What are the prime factors of 102968987?\n | 11, 9360817\n | ibivibiv/math_instruct | |
Let t(k) = -35*k + 1. Give t(1).\n | -34\n | ibivibiv/math_instruct | |
Suppose 69 + 52 = 4*a + 5*x, -3*x = -a + 9. Suppose -g = g - a. What are the prime factors of g/(-16) + 206/8?\n | 5\n | ibivibiv/math_instruct | |
Solve 3*g - 10*g + 14 = 0 for g.\n | 2\n | ibivibiv/math_instruct | |
Let k(m) be the first derivative of -1247*m**2 - 2437*m - 10994. What is the derivative of k(w) wrt w?\n | -2494\n | ibivibiv/math_instruct | |
What is 2570405 minus -0.07?\n | 2570405.07\n | ibivibiv/math_instruct | |
Let a(u) = -236799*u**3 - 2219*u + 4438. Let y(z) = 320*z**3 + 3*z - 6. Calculate 3*a(q) + 2219*y(q).\n | -317*q**3\n | ibivibiv/math_instruct | |
Suppose -2*r = m - 17, 4*m - 2*r = 42 + 36. Suppose z - 21 = m. Calculate the greatest common divisor of 10 and z.\n | 10\n | ibivibiv/math_instruct | |
Let z(u) = -u**3 - 15*u**2 - 11*u + 69. What is z(-14)?\n | 27\n | ibivibiv/math_instruct | |
-0.061593*-4472\n | 275.443896\n | ibivibiv/math_instruct | |
Expand (2*r - 2*r + r**3)*(2*r - 26*r - 19*r**2 + 24*r - 78*r**2).\n | -97*r**5\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 k and 1 g when three letters picked without replacement from yyyygyykyyyykygt.\n | 1/280\n | ibivibiv/math_instruct | |
Let d = 10 - 4. Suppose 0 = 4*l - 46 + d. What is the tens digit of l?\n | 1\n | ibivibiv/math_instruct | |
Let t(x) be the second derivative of x**3/3 - 105*x. Let i(n) = -2*n**2 + 24. Give i(t(u)).\n | -8*u**2 + 24\n | ibivibiv/math_instruct | |
Rearrange (0*h + 3*h - 4*h)*(3 - 3 - 3) - 3*h - 2*h + h to the form m + k*h and give k.\n | -1\n | ibivibiv/math_instruct | |
Let m(j) = -j - 1. Let c(d) = 5*d**2 + 9*d + 12. Calculate c(s) + 6*m(s).\n | 5*s**2 + 3*s + 6\n | ibivibiv/math_instruct | |
What is the greatest common factor of 30 and 8710?\n | 10\n | ibivibiv/math_instruct | |
What is the highest common factor of 728 and 15106?\n | 182\n | ibivibiv/math_instruct | |
Suppose 22*b = 1269 + 711. What is the highest common divisor of b and 648?\n | 18\n | ibivibiv/math_instruct | |
Put 7, 9847647, 2/7 in ascending order.\n | 2/7, 7, 9847647\n | ibivibiv/math_instruct | |
What is 13 - -0.039?\n | 13.039\n | ibivibiv/math_instruct | |
What is the value of -6 + 8 + (-10 - -7)?\n | -1\n | ibivibiv/math_instruct | |
What is the seventh root of 1076408 to the nearest integer?\n | 7\n | ibivibiv/math_instruct | |
What is the nearest to 2/25 in 1, -4, 2, -1/4, 5, -1?\n | -1/4\n | ibivibiv/math_instruct | |
Collect the terms in w**3 + 1 + 110*w**2 - 1.\n | w**3 + 110*w**2\n | ibivibiv/math_instruct | |
What is the value of (134 - 127 - (-42)/(-4))*(-1)/70?\n | 1/20\n | ibivibiv/math_instruct | |
Solve 0 = -5*h - 6 - 14 for h.\n | -4\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 5799 and 657.\n | 3\n | ibivibiv/math_instruct | |
Let v = -23 + 83. Let q = 278 - 272. What is the greatest common factor of q and v?\n | 6\n | ibivibiv/math_instruct | |
What is 163 (base 9) in base 16?\n | 8a\n | ibivibiv/math_instruct | |
Calculate -5 divided by -73825.\n | 1/14765\n | ibivibiv/math_instruct | |
Round 0.0000047151 to 6 dps.\n | 0.000005\n | ibivibiv/math_instruct | |
Evaluate (20 - 0) + (-71 - (56 - 11 - 22)).\n | -74\n | ibivibiv/math_instruct | |
Simplify ((q**(1/4)*q)**(-1/18))**(-1/3) assuming q is positive.\n | q**(5/216)\n | ibivibiv/math_instruct | |
If a car went the first third of the distance at 60 kmh, the second third at 24 kmh, and the last third at 48 kmh, what was the average speed of the car for the entire trip?
Answer Choices: (A) 38 kmh (B) 40 kmh (C) 42 kmh (D) 44 kmh (E) 50 kmh | Lets solve the multi-choice question step by step.
Assume D/3 = 240 (this number is convenient because it is divisible by 60, 24 and 48)
So:
240 = 60*T1 = 4 hrs
240 = 24*T2 = 10 hrs
240 = 48*T3 = 5 hrs
T = T1 + T2 + T3 = 19 hrs
D = RT
(240*3) = R*19
R = 38
The answer is A | ibivibiv/math_instruct | |
Let i be ((-10026)/34 - 6/51) + 2. Let m = i + 1512. What is the thousands digit of m?\n | 1\n | ibivibiv/math_instruct | |
What is the tens digit of 165794623?\n | 2\n | ibivibiv/math_instruct | |
Calculate 1*0/(6/3)*1.\n | 0\n | ibivibiv/math_instruct | |
b"What is the oth term of -492, -473, -442, -399, -344, -277?\n" | 6*o**2 + o - 499\n | ibivibiv/math_instruct | |
Suppose 5*p = -4*q - 0*q + 36, -5*p + 41 = -q. Calculate the smallest common multiple of p and 8.\n | 8\n | ibivibiv/math_instruct | |
In base 8, what is -1 + 71?\n | 70\n | ibivibiv/math_instruct | |
Find the first derivative of -713*b**3*q**2 - 121*b**3 + b + 5*q**4 + 4 wrt q.\n | -1426*b**3*q + 20*q**3\n | ibivibiv/math_instruct | |
Let j(d) = -2*d + 55. Let k(b) = -b + 37. Let r(n) = -5*j(n) + 7*k(n). Let f be r(7). Solve -f*y + 10 = -10*y for y.\n | -2\n | ibivibiv/math_instruct | |
Express (136*n + 32*n**2 - 136*n)*(-4 + 4*n + 4)*(3 - 3 + 2) in the form y + g*n**3 + a*n + k*n**2 and give g.\n | 256\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-42.672 % 3.8713 | 3.7836 | ibivibiv/math_instruct | |
Is 1239391339 composite?\n | False\n | ibivibiv/math_instruct | |
Express (0 - 1 - 1)*(2 + 2 - 3)*(y + 2*y - 2*y) + (-1 - 3 + 6)*(-7 + 10*y + 7) + 7 - 4 + y - 2 in the form k + r*y and give k.\n | 1\n | ibivibiv/math_instruct | |
Solve -26*o - 44 = 34 for o.\n | -3\n | ibivibiv/math_instruct | |
What is 328 minutes after 10:24 PM?\n | 3:52 AM\n | ibivibiv/math_instruct | |
Factor 0 + 40/3*q - 4/3*q**2.\n | -4*q*(q - 10)/3\n | ibivibiv/math_instruct | |
Let g(v) = v**3 - 7*v - 1 - 1 + 5*v. Suppose -2*d + 16 = -5*y, 5*y - 4 = -5*d - 34. Calculate g(d).\n | -6\n | ibivibiv/math_instruct | |
Let m(k) = -2*k - 86. Let i = 18469 - 18467. Let z(j) be the third derivative of 0*j + 50*j**i - 1/30*j**5 + 0 + 0*j**3 + 0*j**4. What is m(z(l))?\n | 4*l**2 - 86\n | ibivibiv/math_instruct | |
Suppose 208 = 5*n - 32. Let o = n - 19. Let d = 42 - o. What is the remainder when 37 is divided by d?\n | 11\n | ibivibiv/math_instruct | |
Simplify x**(4/9)*x/(x/((x/(x*(x*x/(x*x/((x/(x/x**(2/13))*x)/x))*x)/x))/x)) assuming x is positive.\n | x**(-83/117)\n | ibivibiv/math_instruct | |
Simplify (l**(-10)*(l**0*l)/l)/(l*l/((l/(l**(1/4)*l))/l))**(-1/7) assuming l is positive.\n | l**(-267/28)\n | ibivibiv/math_instruct | |
Let p be 1/3 - (-251)/3. What is the tens digit of (36 - 1)*p/20?\n | 4\n | ibivibiv/math_instruct | |
Suppose -109595 - 231895 = -10*h. Is h prime?\n | False\n | ibivibiv/math_instruct | |
Find the third derivative of -217243*v**4 - 1478*v**3 + 7*v**2 + 22*v - 176030 wrt v.\n | -5213832*v - 8868\n | ibivibiv/math_instruct | |
Let m = 4.3 + -0.3. Let t = -4 - -6. Which is the second smallest value? (a) t (b) m (c) -2/5\n | a\n | ibivibiv/math_instruct | |
Is 120340 a multiple of 220?\n | True\n | ibivibiv/math_instruct | |
Let c(u) = u**2 + u - 1. Let f(x) = 7*x**3 - 4*x**2 - 5*x + 2. Let r(a) = -3*c(a) - f(a). Suppose -4*v + 12 = -7*b + 3*b, 4 = 4*v - 2*b. Give r(v).\n | 7\n | ibivibiv/math_instruct | |
Calculate (-2 - 31)*(-9)/(((-165)/(-35))/((-42)/(-147))).\n | 18\n | ibivibiv/math_instruct | |
Is 2016 a multiple of 74?\n | False\n | ibivibiv/math_instruct | |
Work out 3790.4 + -0.29.\n | 3790.11\n | ibivibiv/math_instruct | |
What is the third root of 8065358 to the nearest integer?\n | 201\n | ibivibiv/math_instruct | |
What is the units digit of 824657?\n | 7\n | ibivibiv/math_instruct | |
Which is the nearest to 2/17? (a) -196 (b) 0.5 (c) -2\n | b\n | ibivibiv/math_instruct | |
Calculate prob of sequence da when two letters picked without replacement from dacdxtft.\n | 1/28\n | ibivibiv/math_instruct | |
Solve 5*n - 4*n + 14 = p - 0*p, 0*n - 32 = 2*n for p.\n | -2\n | ibivibiv/math_instruct | |
What is 66767980 to the power of 1/2, to the nearest integer?\n | 8171\n | ibivibiv/math_instruct | |
Let b = -45 + 50. Let o be b - (2/4 - 18/(-12)). Let m(a) = -a**3 + 3*a**2 - a + 3. Let d be m(o). Which is greater: d or 4/27?\n | 4/27\n | ibivibiv/math_instruct | |
Calculate prob of sequence itt when three letters picked without replacement from {t: 9, i: 3}.\n | 9/55\n | ibivibiv/math_instruct | |
What is the thousands digit of 10609?\n | 0\n | ibivibiv/math_instruct | |
What is the second derivative of 252*d**4 + 34*d**3 + 564824*d - 10?\n | 3024*d**2 + 204*d\n | ibivibiv/math_instruct | |
Is 50097 composite?\n | True\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.