instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Does 468 divide 78624?\n | True\n | ibivibiv/math_instruct | |
Which is the closest to 0.1? (a) -10 (b) -5 (c) -4.2 (d) -1\n | d\n | ibivibiv/math_instruct | |
b"What is the ith term of 199, 395, 579, 745, 887, 999?\n" | -i**3 + 203*i - 3\n | ibivibiv/math_instruct | |
Let c(r) = -r**2 + 7*r + 10. Let k be c(7). Let q(l) = l**2 - 9*l + 7. Let x be q(k). Solve -3*z - 2*j = -x, 5*j = 4*z + 2*j for z.\n | 3\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {j: 1, u: 4, s: 5, v: 2, n: 1, g: 7}. Give prob of picking 3 s and 1 g.\n | 14/969\n | ibivibiv/math_instruct | |
Let q(u) = -u**2 + 2*u - 1. Let y be q(1). Let h(s) = -2*s + 8. Let l(v) = 6*v - 23. Let g(x) = -11*h(x) - 4*l(x). Let c be g(2). Is y greater than c?\n | False\n | ibivibiv/math_instruct | |
Let i = 1366.500010469 - 1366.5. Round i to six dps.\n | 0.00001\n | ibivibiv/math_instruct | |
What is the third biggest value in 2/5, -795, -2, 2, 4?\n | 2/5\n | ibivibiv/math_instruct | |
Differentiate 3*c**4 + 55479373*c**3 - 152969529 with respect to c.\n | 12*c**3 + 166438119*c**2\n | ibivibiv/math_instruct | |
b"What is the dth term of -303, -611, -919, -1227, -1535, -1843?\n" | -308*d + 5\n | ibivibiv/math_instruct | |
Let h = 25152 - 754633/30. Find the common denominator of -3/26 and h.\n | 390\n | ibivibiv/math_instruct | |
Is 562 even?\n | True\n | ibivibiv/math_instruct | |
What is 392.87 minus 27976084?\n | -27975691.13\n | ibivibiv/math_instruct | |
In base 12, what is 17 + -87?\n | -70\n | ibivibiv/math_instruct | |
Let s = 0.0300006 - 0.03. What is s rounded to seven dps?\n | 0.0000006\n | ibivibiv/math_instruct | |
Find the common denominator of 32/3*(5 + 0 + -2) and 37/11.\n | 11\n | ibivibiv/math_instruct | |
What is the value of (-12)/(-11)*(8/(-60))/(24/(-1320))?\n | 8\n | ibivibiv/math_instruct | |
Sort -25, 9, 20, 3, -1 in descending order.\n | 20, 9, 3, -1, -25\n | ibivibiv/math_instruct | |
Suppose -4*c = -y - 20, -3*c + c = 2*y. Let n = -2 + 3. Let t be 0 + (n - -2) + -2. Calculate the greatest common factor of t and c.\n | 1\n | ibivibiv/math_instruct | |
Evaluate -38 + (7 - -22) + -19.\n | -28\n | ibivibiv/math_instruct | |
Solve -463795*d + 3360 = -463735*d for d.\n | 56\n | ibivibiv/math_instruct | |
Simplify ((r*r**(2/7)/r)/(r/r**5))**23*(r/((r/(r*r*r/(r/r**(2/45)*r)))/r*r)*r**(-1/8))**(-4/5) assuming r is positive.\n | r**(308183/3150)\n | ibivibiv/math_instruct | |
What is the units digit of 19351?\n | 1\n | ibivibiv/math_instruct | |
Solve -12*d = 45*d + 171 for d.\n | -3\n | ibivibiv/math_instruct | |
What is the first derivative of -937855485*s**2 - 189366439?\n | -1875710970*s\n | ibivibiv/math_instruct | |
Let p = 18 - 17. Suppose d - 71 = p. Suppose 4*u = -0*u + d. Does 6 divide u?\n | True\n | ibivibiv/math_instruct | |
Suppose -k = 3*j + 4 + 4, 0 = -j + k + 4. Let d be ((-196)/36 + 5)*3/j. Suppose 0 + d*o**2 + 2/3*o**3 + 2/3*o = 0. Calculate o.\n | -1, 0\n | ibivibiv/math_instruct | |
What is the third root of 7605867 to the nearest integer?\n | 197\n | ibivibiv/math_instruct | |
Let c(m) = 2*m**2. Let x(b) = 49*b**2. Give c(x(a)).\n | 4802*a**4\n | ibivibiv/math_instruct | |
Is 3781837 a prime number?\n | False\n | ibivibiv/math_instruct | |
Round 1.4161464 to the nearest integer.\n | 1\n | ibivibiv/math_instruct | |
Let m be ((-35)/1)/((-13)/(-13)). Let f(y) = 3*y**2 - 7*y + 1. Let n be f(5). Let a = n + m. Is 7 greater than a?\n | True\n | ibivibiv/math_instruct | |
How many minutes are there between 11:28 AM and 11:14 PM?\n | 706\n | ibivibiv/math_instruct | |
Calculate the remainder when 310579 is divided by 1030.\n | 549\n | ibivibiv/math_instruct | |
Simplify ((sqrt(68)*-1*-4 - ((sqrt(68)*1 - sqrt(68))*-4 - sqrt(68)))/(-2*sqrt(2916) - sqrt(36)))**2.\n | 425/3249\n | ibivibiv/math_instruct | |
Is 20 a factor of 421546?\n | False\n | ibivibiv/math_instruct | |
Let w(v) = v**3 - 10*v**2 + 5*v + 6. Let p be w(11). Let f = p + -114. What is the units digit of f?\n | 8\n | ibivibiv/math_instruct | |
Evaluate ((-8)/24)/((-15)/(-45)).\n | -1\n | ibivibiv/math_instruct | |
Is 172911845 a multiple of 286?\n | False\n | ibivibiv/math_instruct | |
Is 385 at least 380?\n | True\n | ibivibiv/math_instruct | |
Suppose i = 2*i - 6. Let a = i - 14. Let h(g) = -5*g + 1. Let b(o) = -14*o + 3. What is a*h(u) + 3*b(u)?\n | -2*u + 1\n | ibivibiv/math_instruct | |
Let a = -14.8599279 + 14.86. Round a to 5 decimal places.\n | 0.00007\n | ibivibiv/math_instruct | |
Calculate (-4)/(((-24)/36)/((-1)/3)).\n | -2\n | ibivibiv/math_instruct | |
What is 981 to the power of 1/6, to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Expand (-3 + 3 - f**3)*(-2 + 2 + f) - 2*f**4 - 4*f**4 + 2*f**4 + 2*f**4 + f**4 - f**4 + (1 - 1 - 2*f)*(3*f**2 - 4*f**2 + 0*f**2)*(3*f - 2*f - 2*f).\n | -5*f**4\n | ibivibiv/math_instruct | |
Simplify (a**(-1/5)*a/(a/a**1))/(a*a**(2/5))**29 assuming a is positive.\n | a**(-199/5)\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-22.6128 % -12.2473) / 92.67 | -0.1119 | ibivibiv/math_instruct | |
What is 1208550 divided by 6906?\n | 175\n | ibivibiv/math_instruct | |
Let r(p) = 10*p**5 + p**4 - 4*p**3 - 30*p. Let o(h) = -17*h**5 - h**4 + 7*h**3 + 59*h. Let f(s) = -4*o(s) - 7*r(s). What is the second derivative of f(j) wrt j?\n | -40*j**3 - 36*j**2\n | ibivibiv/math_instruct | |
What is 3232635035.2314 plus -0.2?\n | 3232635035.0314\n | ibivibiv/math_instruct | |
Let t be (3 - 55/15)/(52/58). Let n = t - -1/13. What is the nearest to n in 0.3, 3, 5/2?\n | 0.3\n | ibivibiv/math_instruct | |
Evaluate -2*3/(-8)*4/12.\n | 1/4\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {o: 2, z: 1, x: 1, a: 9}. What is prob of sequence ozox?\n | 1/8580\n | ibivibiv/math_instruct | |
What is the millions digit of 491378044?\n | 1\n | ibivibiv/math_instruct | |
Suppose 0 = 150*m - 134*m. Suppose 7*t + 163 - 366 = m. Which is smaller: t or 28?\n | 28\n | ibivibiv/math_instruct | |
Simplify 2 + (sqrt(75) - (-2 + sqrt(75)))**2 + -3.\n | 3\n | ibivibiv/math_instruct | |
What comes next: 5300462, 10600938, 15901414, 21201890, 26502366, 31802842?\n | 37103318\n | ibivibiv/math_instruct | |
Find the second derivative of 25*i*m**2 - 2*i*m - 3*i - 24237*m**2 - 1755*m + 1 wrt m.\n | 50*i - 48474\n | ibivibiv/math_instruct | |
Suppose -g + p = 2*g - 80, -2*p = 4*g - 120. What is the highest common divisor of g and 28?\n | 28\n | ibivibiv/math_instruct | |
What is the nearest to 3/3121 in 18/11, 0.1, 10?\n | 0.1\n | ibivibiv/math_instruct | |
What is 298 minutes after 5:28 PM?\n | 10:26 PM\n | ibivibiv/math_instruct | |
Let v be (-476)/(-126) - 2/(-9). Find the second derivative of -2*h + 3*h + 5*h**4 + 3*h**v wrt h.\n | 96*h**2\n | ibivibiv/math_instruct | |
5168 * 7\n | 36176\n | ibivibiv/math_instruct | |
Let y = -2 - -4. Let k be 1*y + 1 + -1. Suppose 9*s**2 + 0*s**k + 5*s + 3 - 2 + 7*s**3 + 2*s**4 = 0. Calculate s.\n | -1, -1/2\n | ibivibiv/math_instruct | |
Expand 2*h**5 + 147*h - 147*h + 33*h**3 + (-h + 0 + 0)*(h - h + 2*h**4) - 3*h**3 + 3*h**3 + h**5 + 3*h**5 + 5*h**5 - 6*h**5 + 2*h**5 - 2*h + 2*h.\n | 5*h**5 + 33*h**3\n | ibivibiv/math_instruct | |
Let b(u) = -59*u**3 + 2*u**2 - 10*u + 9. Give b(1).\n | -58\n | ibivibiv/math_instruct | |
Let l(f) = -f**2 - 113*f - 4838. What is l(-71)?\n | -1856\n | ibivibiv/math_instruct | |
Let y(a) = -2*a - 9. Let g(k) = -1. Let t(x) = 2*g(x) + y(x). Let j be t(-8). Sort 0, 3, j.\n | 0, 3, j\n | ibivibiv/math_instruct | |
What is (10538/26345)/((-1)/25*2/2)?\n | -10\n | ibivibiv/math_instruct | |
Simplify z**5*z**(-6)*(z**(-9/5)/z)/(z*z**5*z*z) assuming z is positive.\n | z**(-59/5)\n | ibivibiv/math_instruct | |
Calculate the remainder when 1534 is divided by 10.\n | 4\n | ibivibiv/math_instruct | |
Collect the terms in -3*y**3 + 2*y**3 + 2*y**3.\n | y**3\n | ibivibiv/math_instruct | |
What is the units digit of (2163/(-515))/(1/(-205))?\n | 1\n | ibivibiv/math_instruct | |
Express -166*c - 6*c**3 + 3 + 64*c + 3*c**3 + 82*c - 2 in the form f*c**2 + d*c + g + v*c**3 and give v.\n | -3\n | ibivibiv/math_instruct | |
What is 14545 (base 7) in base 13?\n | 1ac8\n | ibivibiv/math_instruct | |
-126743 divided by 5\n | -126743/5\n | ibivibiv/math_instruct | |
Suppose 5*t = 8 + 22. Let v(m) = -2*m**2 - 9*m - 11. Let n(j) be the second derivative of j**4/12 + 5*j**3/6 + 3*j**2 + 92*j. Give t*v(u) + 11*n(u).\n | -u**2 + u\n | ibivibiv/math_instruct | |
Let i(h) = -5*h**2 + 13*h + 7722. Determine i(-38).\n | 8\n | ibivibiv/math_instruct | |
Suppose p - 11 = a - 5*a, 0 = p - a - 6. Let c(f) = -f**3 + 8*f**2 - 8*f. Let i be c(p). Let z(w) = 9*w. Let s(k) = -5*k. Determine i*s(y) - 4*z(y).\n | -y\n | ibivibiv/math_instruct | |
Let u(d) = 81*d**2 - 3*d - 1. Is u(-1) composite?\n | False\n | ibivibiv/math_instruct | |
Let r = 116 + -164. Let l = 52 + r. Solve 0 = d + 4, -2*u + l*d + 18 = -u for u.\n | 2\n | ibivibiv/math_instruct | |
Which is bigger: 630 or 291?\n | 630\n | ibivibiv/math_instruct | |
Let h be (10/(-6))/(2/6). Let z(y) be the second derivative of y**5/10 - y**4/6 - y**3/3 - y. Let i be z(2). Put h, i, 2 in descending order.\n | i, 2, h\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 3 and 186?\n | 3\n | ibivibiv/math_instruct | |
Suppose -8*g - 100 = 12. What is the smallest value in -3, g, 3?\n | g\n | ibivibiv/math_instruct | |
Suppose -2*a + 2 = 2*q, 0 = -2*q + 4*q - 4*a - 8. Let p(j) = -6 + 6*j**2 - 7*j**q - 6 + 18*j. Let o be p(17). Solve 4*f = -5*t + 40, 5*f + t - 9 = o*t for f.\n | 5\n | ibivibiv/math_instruct | |
Simplify (sqrt(891)*-2 + 0 - 5*sqrt(891)*1)**2.\n | 43659\n | ibivibiv/math_instruct | |
Expand (138*y - 746*y + 416*y)*(-y + 5*y - 3*y).\n | -192*y**2\n | ibivibiv/math_instruct | |
Let d be ((-4)/(-10))/((-117)/65). Is 96 equal to d?\n | False\n | ibivibiv/math_instruct | |
Which is bigger: -467 or -5152/11?\n | -467\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 7626 and 82.\n | 82\n | ibivibiv/math_instruct | |
Let n = 31 - 159. Let k be n/(-60) + (-12)/90. Find the common denominator of 74/(-12)*(-3)/k and 35/2.\n | 4\n | ibivibiv/math_instruct | |
Rearrange 2*z**4 - 14*z - 179 + 86 + 90 + 2*z**2 to f + t*z**3 + d*z**4 + o*z + x*z**2 and give o.\n | -14\n | ibivibiv/math_instruct | |
Solve 0 = 3*i - 3*d - 21, 4*i + 1051*d = 1048*d + 7 for i.\n | 4\n | ibivibiv/math_instruct | |
What is the result of the following expression?
44.1223 - -68.6835 | 112.8058 | ibivibiv/math_instruct | |
Let l(d) = -425*d + 42. Is l(-5) a composite number?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in -339 + 84 - 2*l + 85 + 93 + 5*l + 114.\n | 3*l + 37\n | ibivibiv/math_instruct | |
What is 2000220112 (base 3) in base 13?\n | 152b1\n | ibivibiv/math_instruct | |
Which is smaller: 6 or 37?\n | 6\n | ibivibiv/math_instruct | |
Expand (-2*n - 12*n + 2*n)*(-n + 0*n + 4*n) + (-2*n - 1 + 1)*(-3 + 2*n + 3).\n | -40*n**2\n | ibivibiv/math_instruct |
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