instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the tens digit of 2623?\n | 2\n | ibivibiv/math_instruct | |
Let n(q) = 2*q**2 + 3*q - 44. Let d be n(4). Suppose -6*g - 13 + 7 = d. Which is the closest to g? (a) 4/3 (b) 0.4 (c) -0.1\n | c\n | ibivibiv/math_instruct | |
What is 687945 divided by 137589?\n | 5\n | ibivibiv/math_instruct | |
Let z(r) = 3*r**2 + 17*r - 4. Let k be z(8). Calculate the highest common divisor of k and 36.\n | 36\n | ibivibiv/math_instruct | |
Let v = 59 - 46. Let a(w) = -w + 17. What is a(v)?\n | 4\n | ibivibiv/math_instruct | |
Simplify (w/w**(-3)*((w/(w/w**3))/w*w)/w*w*w*w)/(w**(2/7)/w**(-3/5)) assuming w is positive.\n | w**(284/35)\n | ibivibiv/math_instruct | |
Let d(m) = -130589*m**2 - 184. Let x be d(12). What is x rounded to the nearest 1000000?\n | -19000000\n | ibivibiv/math_instruct | |
Solve -2*f = -5*n + 33, 0*n - 2*n - 2*f + 2 = 0 for n.\n | 5\n | ibivibiv/math_instruct | |
Let h be (2 - 5) + (-1 - 1). Let n = -1 - h. Differentiate -33*g**4 + 26*g**4 - n - g**3 + g**3 with respect to g.\n | -28*g**3\n | ibivibiv/math_instruct | |
What is the common denominator of 20/37 and -109/3868128?\n | 3868128\n | ibivibiv/math_instruct | |
Calculate (3/(-6))/(176/2112) - -21.\n | 15\n | ibivibiv/math_instruct | |
What is the thousands digit of 1851?\n | 1\n | ibivibiv/math_instruct | |
101 (base 2) to base 14\n | 5\n | ibivibiv/math_instruct | |
How many milligrams are there in 27/2 of a gram?\n | 13500\n | ibivibiv/math_instruct | |
What is the second smallest value in 1, 23, -161?\n | 1\n | ibivibiv/math_instruct | |
Suppose -13606*z = -13589*z - 153. Solve -z = 3*d + 3*i + 3, 3*d - i = 4 for d.\n | 0\n | ibivibiv/math_instruct | |
Suppose 3907 = 51*c + 1204. Calculate the remainder when 368 is divided by c.\n | 50\n | ibivibiv/math_instruct | |
Suppose -4*x - 1056 = -12*x. Is x a multiple of 22?\n | True\n | ibivibiv/math_instruct | |
Let f be 12/(-132)*0*(-1 + 0). Suppose f = 6*i + 4432 - 4444. Solve 3*t + i + 13 = 0 for t.\n | -5\n | ibivibiv/math_instruct | |
Is 24031223 a composite number?\n | False\n | ibivibiv/math_instruct | |
What is 582 minutes before 9:24 AM?\n | 11:42 PM\n | ibivibiv/math_instruct | |
Suppose -3*d = d + 16. Let y be (3/d)/(15/(-40)). Suppose -5*z - 38 = -4*b, -y*z - 7 = -b + 10. Sort z, 5, 3 in ascending order.\n | z, 3, 5\n | ibivibiv/math_instruct | |
Let p = -14.2 + 14. Let a = -4 - -6. What is the closest to a in p, -2/3, -4?\n | p\n | ibivibiv/math_instruct | |
Let w(j) = 2*j**3 - 16*j**2 + 17*j - 25. Let o be w(12). Suppose -p + 0*v = -5*v - 453, -3*p + v = -o. List the prime factors of p.\n | 443\n | ibivibiv/math_instruct | |
What is 371 minutes before 4:50 AM?\n | 10:39 PM\n | ibivibiv/math_instruct | |
Does 37477 = 37478?\n | False\n | ibivibiv/math_instruct | |
Calculate ((-3614)/16263)/(1/(-2)*888/108).\n | 2/37\n | ibivibiv/math_instruct | |
Suppose 4*t = -3*o + 38327, -38339 = -3*o - 0*o - t. Is o a composite number?\n | False\n | ibivibiv/math_instruct | |
Let i(k) = k**2. Let s(p) = -p**3 + 4*p**2 - 3*p + 2. Let g be ((-18)/30)/(1/(-5)). Let u be s(g). Let o(z) = -z**2 + 2*z**2 + 0*z**u. What is i(o(n))?\n | n**4\n | ibivibiv/math_instruct | |
What is 517 minutes before 1:02 PM?\n | 4:25 AM\n | ibivibiv/math_instruct | |
Let o(v) = -2*v - 4. Let m be o(-6). Let x = m + -13. Sort x, -1, -2 in ascending order.\n | x, -2, -1\n | ibivibiv/math_instruct | |
What is the hundreds digit of 54500?\n | 5\n | ibivibiv/math_instruct | |
Is 16 less than or equal to 28?\n | True\n | ibivibiv/math_instruct | |
Divide -3973 by 7129.\n | -3973/7129\n | ibivibiv/math_instruct | |
What is the least common multiple of 1022648 and 11?\n | 1022648\n | ibivibiv/math_instruct | |
Let j = -2141 + 944. Let x be 1/(-6) + j/(-54). Suppose 9*p - 7*p = x. What is the remainder when 31 is divided by p?\n | 9\n | ibivibiv/math_instruct | |
Let f(p) be the second derivative of 11*p + 0 + 1/20*p**5 - 3/4*p**4 - 11/2*p**2 + 4/3*p**3. Is 10 a factor of f(9)?\n | False\n | ibivibiv/math_instruct | |
Expand (2 + 136*j - 70*j**2 - 77*j**2 + 146*j**2)*(3 + 0 - 1)*(2*j + 4*j - 3*j).\n | -6*j**3 + 816*j**2 + 12*j\n | ibivibiv/math_instruct | |
Factor -d**4 + 41*d**3 + 2380*d**2 + 4588*d.\n | -d*(d - 74)*(d + 2)*(d + 31)\n | ibivibiv/math_instruct | |
In base 15, what is 8b2 + -e?\n | 8a3\n | ibivibiv/math_instruct | |
What is the third derivative of 1199*w**3 + 139*w**2 - 3*w?\n | 7194\n | ibivibiv/math_instruct | |
What is next in 359, -99, -863, -1933?\n | -3309\n | ibivibiv/math_instruct | |
Collect the terms in -6*s + 4*s + 320*s**2 + 2*s.\n | 320*s**2\n | ibivibiv/math_instruct | |
Express (-2 + 4 - 3)*(-1 - 29 - 17)*(-6427*b - 44*b**4 + 6427*b + (-2*b - 5 + 5)*(3*b**2 - 3*b**2 - b**3)) as w*b**4 + s*b**2 + d*b + h*b**3 + o and give w.\n | -1974\n | ibivibiv/math_instruct | |
-296718102 - -2\n | -296718100\n | ibivibiv/math_instruct | |
Let b(r) = r**2 - 49*r - 1719. What is b(73)?\n | 33\n | ibivibiv/math_instruct | |
Suppose -3*g = -2*k + 201, -5*k + 506 = -2*g - 2*g. Let u(q) = 2*q**2 + 15*q - 21. Let h be u(-18). Calculate the greatest common divisor of h and k.\n | 51\n | ibivibiv/math_instruct | |
Let x(q) = q - 1. Let b(r) = 12*r - 6. Let v(a) = 3*b(a) - 18*x(a). Let i(d) = 2*d. Determine i(v(u)).\n | 36*u\n | ibivibiv/math_instruct | |
Let g(d) = 1851*d - 25910. What is g(14)?\n | 4\n | ibivibiv/math_instruct | |
Let s = -22 + 20. Let h = -130 + s. Let m = h + 131.09. What is m rounded to 1 dp?\n | -0.9\n | ibivibiv/math_instruct | |
What is the hundred millions digit of 1731123146?\n | 7\n | ibivibiv/math_instruct | |
Collect the terms in -515*l**3 + 1057*l**3 - 582*l**3.\n | -40*l**3\n | ibivibiv/math_instruct | |
How many micrometers are there in 18/5 of a centimeter?\n | 36000\n | ibivibiv/math_instruct | |
Let u = 144 + 35. What is the units digit of u?\n | 9\n | ibivibiv/math_instruct | |
In base 11, what is -7 - 417003?\n | -41700a\n | ibivibiv/math_instruct | |
What is -6172500 divided by -102875?\n | 60\n | ibivibiv/math_instruct | |
Let g(w) = -w**3 - 5*w**2 - w - 27. Let o be g(-6). Let k be (3/o)/(-4 - (-292)/70). Is k at least as big as 0?\n | True\n | ibivibiv/math_instruct | |
Let s = -0.3 - 0.1. Which is the third smallest value? (a) 3 (b) s (c) -2\n | a\n | ibivibiv/math_instruct | |
Simplify (-5 + 1*(sqrt(7) + 3 + sqrt(63)/sqrt(9) + sqrt(7) + -1 + -3 + sqrt(7)) + -1)*5*1.\n | -35 + 20*sqrt(7)\n | ibivibiv/math_instruct | |
65 * 4\n | 260\n | ibivibiv/math_instruct | |
Round -0.006124774274 to 3 dps.\n | -0.006\n | ibivibiv/math_instruct | |
Simplify (((v*v*(v/(((v**(2/11)*v)/v)/v))/v)/v*v**(-8)*v*v*v/(v/(v/(v/v**(3/4))))*v*v/(v/(v/v**(-1/7)*v)))**(-2/21))**(-14) assuming v is positive.\n | v**(-89/231)\n | ibivibiv/math_instruct | |
What is the smallest value in 4/13, 1/2, -1, -2/9, 2/15, 3/7?\n | -1\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 249 and 166.\n | 498\n | ibivibiv/math_instruct | |
Is 15/3 + (4323 - (9 - -1)) a multiple of 34?\n | True\n | ibivibiv/math_instruct | |
What are the prime factors of 424330?\n | 2, 5, 42433\n | ibivibiv/math_instruct | |
List the prime factors of 229172.\n | 2, 23, 47, 53\n | ibivibiv/math_instruct | |
In base 6, what is 5225 - -4?\n | 5233\n | ibivibiv/math_instruct | |
Simplify (4 + sqrt(56)/sqrt(8))*-2.\n | -8 - 2*sqrt(7)\n | ibivibiv/math_instruct | |
Let u(i) = 3*i - 63. Let h be u(22). Suppose 9 = -z - z + 3*r, h*r = 4*z + 3. Suppose 0 = t - 4*p - 88 - 54, z*p = -4*t + 644. What are the prime factors of t?\n | 2, 79\n | ibivibiv/math_instruct | |
What is prob of picking 1 q and 1 g when two letters picked without replacement from {g: 13, q: 6}?\n | 26/57\n | ibivibiv/math_instruct | |
Let b = -105.9 - -40.6. Let m = -63 - b. Is 2 at most as big as m?\n | True\n | ibivibiv/math_instruct | |
What is the units digit of 3907003992?\n | 2\n | ibivibiv/math_instruct | |
Let p be (18/(-8))/(36/96). Let k be 26/(-84) - 1/p. Let z = 3/28 + 41/140. Put -3/2, k, z in increasing order.\n | -3/2, k, z\n | ibivibiv/math_instruct | |
Let l(h) = -h**3 - 7*h**2 + 7*h - 4. Let z be l(-8). Suppose 49 = z*g - 39. Suppose -g + 4 = -3*c. Calculate the highest common factor of c and 15.\n | 3\n | ibivibiv/math_instruct | |
Express a**3 - 4845*a**2 + 4851*a**2 + 2*a + 0*a**3 in the form x*a**2 + c*a + z + v*a**3 and give v.\n | 1\n | ibivibiv/math_instruct | |
Let c(t) = 4*t. Let u(o) = 3*o**2. Let v(d) be the first derivative of 5*d**3/3 - 3. Let n(r) = 8*u(r) - 5*v(r). Calculate c(n(y)).\n | -4*y**2\n | ibivibiv/math_instruct | |
Let r be (-6)/18*2*36/2. Let t(i) = i**3 + 13*i**2 + 19*i + 79. What is t(r)?\n | -5\n | ibivibiv/math_instruct | |
How many minutes are there between 5:53 AM and 12:39 PM?\n | 406\n | ibivibiv/math_instruct | |
Let u = 6918957/79268 + 1/11324. Let m = u - 87. Which is the smallest value? (a) m (b) -0.3 (c) 2\n | b\n | ibivibiv/math_instruct | |
Is 1161 a multiple of 14?\n | False\n | ibivibiv/math_instruct | |
What is the eighth root of 1344594 to the nearest integer?\n | 6\n | ibivibiv/math_instruct | |
Calculate the remainder when 2753058 is divided by 3333.\n | 0\n | ibivibiv/math_instruct | |
Let h be 7*((-18)/7)/(-3). Let n be 33/(-55)*8*(-2)/22*15. Which is bigger: n or h?\n | n\n | ibivibiv/math_instruct | |
Let u(d) = -37*d**3 - 5*d - 5. Let w be u(-1). Suppose -4*o + f = -5*o + w, 3*o + 2*f - 112 = 0. Calculate the remainder when -2 + 2 + 109 + 1 is divided by o.\n | 34\n | ibivibiv/math_instruct | |
Expand -3 + 3*r - 1 + 1 + (1 - 1 + 2*r)*(0 + 2 - 3).\n | r - 3\n | ibivibiv/math_instruct | |
Is 3565032061 prime?\n | True\n | ibivibiv/math_instruct | |
What is the next term in -316, -602, -884, -1162, -1436?\n | -1706\n | ibivibiv/math_instruct | |
Simplify (m*m*m*m**(-7/2))**(-2/9) assuming m is positive.\n | m**(1/9)\n | ibivibiv/math_instruct | |
Suppose 215 = 5*t - 245. What is the tens digit of t?\n | 9\n | ibivibiv/math_instruct | |
What comes next: 7375535, 7375533, 7375531, 7375529?\n | 7375527\n | ibivibiv/math_instruct | |
Round 0.00000059923 to seven dps.\n | 0.0000006\n | ibivibiv/math_instruct | |
Let v(y) be the third derivative of 1/660*y**6 + 0*y**4 + 0 + 0*y**5 + y**2 + 0*y + 0*y**3. Let v(c) = 0. What is c?\n | 0\n | ibivibiv/math_instruct | |
What is the first derivative of -3*b**4 - 8276*b**3 + 154*b + 33214639?\n | -12*b**3 - 24828*b**2 + 154\n | ibivibiv/math_instruct | |
What are the prime factors of (-125358)/(-68) + (-9)/6?\n | 2, 3, 307\n | ibivibiv/math_instruct | |
How many months are there in 43/2 of a year?\n | 258\n | ibivibiv/math_instruct | |
Is 176259632 a multiple of 3824?\n | True\n | ibivibiv/math_instruct | |
Sort 2, 57.2, 4/7 in increasing order.\n | 4/7, 2, 57.2\n | ibivibiv/math_instruct | |
How many minutes are there between 6:31 PM and 11:05 PM?\n | 274\n | ibivibiv/math_instruct | |
Let v(s) = -s**3 - 3*s**2 + s + 3. Let u(p) = p**2 - 1. Let c(i) = 4*u(i) + v(i). Suppose 0 = -7*q + 3*q. Give c(q).\n | -1\n | ibivibiv/math_instruct |
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