instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Simplify i**(-1/11)/(i*i**(-3/7)) assuming i is positive.\n | i**(-51/77)\n | ibivibiv/math_instruct | |
How many minutes are there between 1:32 PM and 11:00 PM?\n | 568\n | ibivibiv/math_instruct | |
Let c(q) = 131*q**2 - q. Let w be c(-1). Let z = -90 + w. What is the greatest common factor of 6 and z?\n | 6\n | ibivibiv/math_instruct | |
Suppose 0 = -4*v - 0*v - 5*l + 124, -v = 2*l - 31. Suppose 3*d - v = 14. Let u = 13956 - 13806. What is the greatest common divisor of u and d?\n | 15\n | ibivibiv/math_instruct | |
Let o = 4.4 + 1.6. Let r = -5.8 + o. Let d = 61 + -62. Which is the nearest to d? (a) -1/2 (b) 8 (c) r\n | a\n | ibivibiv/math_instruct | |
Suppose 83278 = d - 6970. Let w(j) = 2 - 4 - 304534*j + d*j. Let h be w(-7). Round h to the nearest one million.\n | 2000000\n | ibivibiv/math_instruct | |
Sort 4, -3, 247.\n | -3, 4, 247\n | ibivibiv/math_instruct | |
Expand 3*c + 0*c + 0*c - 3*c - 2*c + 2*c + (3 - 3 + c)*(1 + 2 - 4) - 347 + 967*c + 347.\n | 966*c\n | ibivibiv/math_instruct | |
Suppose -4754 - 2008 = -6*p. List the prime factors of p.\n | 7, 23\n | ibivibiv/math_instruct | |
What are the prime factors of 54262151?\n | 103, 661, 797\n | ibivibiv/math_instruct | |
Let f be (24/4 - 5)/(1/(-2)). Let m be 0 + (f/3 - -1)*-1. Is m >= -9?\n | True\n | ibivibiv/math_instruct | |
Let z = 333 - 180. Let v = 154 - z. Which is the closest to v? (a) -2/13 (b) 0.01 (c) -0.2\n | b\n | ibivibiv/math_instruct | |
451 (base 13) to base 14\n | 3b0\n | ibivibiv/math_instruct | |
Does 0 = -91/46950?\n | False\n | ibivibiv/math_instruct | |
What is the cube root of 178761187 to the nearest integer?\n | 563\n | ibivibiv/math_instruct | |
What is seven halves of a microsecond in nanoseconds?\n | 3500\n | ibivibiv/math_instruct | |
Simplify -2 + (sqrt(45) + sqrt(270)/(sqrt(6) + sqrt(6) + sqrt(24)/sqrt(4)) + sqrt(45) - sqrt(45))/(sqrt(9) - 5*(sqrt(9) + sqrt(18)/sqrt(2))) + 3.\n | -4*sqrt(5)/27 + 1\n | ibivibiv/math_instruct | |
Suppose 2*d + d = 0. Suppose d*f = -f. Is -33*(-1 - f - 0) a prime number?\n | False\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 149831463 and 3441.\n | 3441\n | ibivibiv/math_instruct | |
Calculate the remainder when 86 is divided by 57.\n | 29\n | ibivibiv/math_instruct | |
Calculate the common denominator of 61/228 and -97/380.\n | 1140\n | ibivibiv/math_instruct | |
What is -21513972 divided by -202962?\n | 106\n | ibivibiv/math_instruct | |
In base 9, what is -4 - -1564?\n | 1560\n | ibivibiv/math_instruct | |
What is the third derivative of -j**2 + 0*j**2 + 6*j**2 + 13*j**6 wrt j?\n | 1560*j**3\n | ibivibiv/math_instruct | |
Simplify 2 + (((sqrt(70) - sqrt(70)*-1)*-3 - sqrt(70) - sqrt(70)*-1*-5)/((sqrt(70)*1)/sqrt(7) + (-1*sqrt(30) - sqrt(30))/sqrt(3))*-1)**2.\n | 1010\n | ibivibiv/math_instruct | |
Let n(c) = -24*c + 28. Let y be n(2). Let b be -6*(-3)/9 - y. Solve -4*r - 2*d + b + 6 = 0, 0 = 5*r + d - 29 for r.\n | 5\n | ibivibiv/math_instruct | |
Is 1629851 a prime number?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in 1433*o - 39717 + 39717 + 1464*o.\n | 2897*o\n | ibivibiv/math_instruct | |
Suppose -22*o - 2056 + 6258 = 0. Calculate the remainder when o is divided by -8*(-15)/(-10)*-4.\n | 47\n | ibivibiv/math_instruct | |
Which is smaller: 5557214 or 5557213?\n | 5557213\n | ibivibiv/math_instruct | |
What is next in -12, -68, -160, -288?\n | -452\n | ibivibiv/math_instruct | |
Let l(i) = -i + 2. Let r(n) = -n**3 + 15*n**2 - 2*n + 8. Let b be r(15). Let y = b - 25. Let a = -46 - y. Give l(a).\n | 1\n | ibivibiv/math_instruct | |
Let k = -421.4 + 421.7103. Let u = k - -0.0527. Round u to one dp.\n | 0.4\n | ibivibiv/math_instruct | |
Which is the nearest to -1/3? (a) 0 (b) 2/49 (c) 84 (d) 21/4 (e) -2/13\n | e\n | ibivibiv/math_instruct | |
Convert 7468.658 centuries to years.\n | 746865.8\n | ibivibiv/math_instruct | |
What is -0.03951275 rounded to three decimal places?\n | -0.04\n | ibivibiv/math_instruct | |
Find the third derivative of 194750*i**5 + 86064*i**2.\n | 11685000*i**2\n | ibivibiv/math_instruct | |
31732 (base 15) to base 12\n | 76948\n | ibivibiv/math_instruct | |
What is (-3)/10*(-45)/36*1?\n | 3/8\n | ibivibiv/math_instruct | |
Let t = -10.2 - -81.2. Let a = 75.2 - t. Let f = -4.3 + a. What is the third biggest value in 0, f, 2, -0.07?\n | -0.07\n | ibivibiv/math_instruct | |
Expand (-2*q**3 + 6*q**3 + 0*q**3)*(-2 + 16*q**2 + 6 - 18*q**2).\n | -8*q**5 + 16*q**3\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 s when two letters picked without replacement from asus.\n | 1/6\n | ibivibiv/math_instruct | |
List the prime factors of 7998.\n | 2, 3, 31, 43\n | ibivibiv/math_instruct | |
What is 57 take away 0.871509?\n | 56.128491\n | ibivibiv/math_instruct | |
What is 11028526 (base 9) in base 10?\n | 5333793\n | ibivibiv/math_instruct | |
What is next in -11830, -47329, -106500, -189349, -295882?\n | -426105\n | ibivibiv/math_instruct | |
Factor -284*v**3/9 - 8798*v**2/9 + 62*v/3.\n | -2*v*(v + 31)*(142*v - 3)/9\n | ibivibiv/math_instruct | |
What is -2011.7976 rounded to the nearest 10?\n | -2010\n | ibivibiv/math_instruct | |
Is 293 a factor of 3625019?\n | False\n | ibivibiv/math_instruct | |
What is the common denominator of -149/36 and -41/258?\n | 1548\n | ibivibiv/math_instruct | |
4 * -0.107\n | -0.428\n | ibivibiv/math_instruct | |
(((-64)/72)/((-80)/(-1080)))/(1665/243 - 7)\n | 81\n | ibivibiv/math_instruct | |
What is the value of -3 - (-4 + 1 + 4 + -4)?\n | 0\n | ibivibiv/math_instruct | |
How many minutes are there between 10:36 PM and 8:35 AM?\n | 599\n | ibivibiv/math_instruct | |
Let y(i) = -i**3 + 10*i**2 + 7*i + 5. Suppose -g - 2*g - 42 = -3*o, 5*o = -g + 40. Is y(o) a prime number?\n | True\n | ibivibiv/math_instruct | |
Factor -5*x**2/4 - 5681725*x/4 - 5681705.\n | -5*(x + 4)*(x + 1136341)/4\n | ibivibiv/math_instruct | |
Let h = -915 - -1673. Is h a multiple of 13?\n | False\n | ibivibiv/math_instruct | |
Express 0*b - 2*b**4 - 5*b**2 + b**2 + 3*b + 2*b**2 - 1 as i*b + v + p*b**4 + u*b**3 + s*b**2 and give v.\n | -1\n | ibivibiv/math_instruct | |
Let s(g) = 25*g - 25. Let q(z) = 9*z - 9. Let k(h) = -11*q(h) + 4*s(h). What is k(6)?\n | 5\n | ibivibiv/math_instruct | |
What is the fourth biggest value in -1.147, 0.07, 1, -3, -0.2?\n | -1.147\n | ibivibiv/math_instruct | |
Which is greater: -17 or -3617/210?\n | -17\n | ibivibiv/math_instruct | |
What are the prime factors of 842414?\n | 2, 421207\n | ibivibiv/math_instruct | |
What is the units digit of 2733420840?\n | 0\n | ibivibiv/math_instruct | |
Convert 73.64869 nanograms to kilograms.\n | 0.00000000007364869\n | ibivibiv/math_instruct | |
Is -9 + -3 + 20 + 37235 prime?\n | True\n | ibivibiv/math_instruct | |
Let z(o) = 80*o**3 - 104*o**2 - 6. Let d(j) = 159*j**3 - 210*j**2 - 11. Let s(p) = -6*d(p) + 11*z(p). What is the third derivative of s(f) wrt f?\n | -444\n | ibivibiv/math_instruct | |
Calculate (14*35/(-105) + 30)*1/(-4).\n | -19/3\n | ibivibiv/math_instruct | |
Rearrange -11*i + 54*i + 3*i + 16*i to t + p*i and give p.\n | 62\n | ibivibiv/math_instruct | |
Let a(q) = -q**2 - q. Let b(i) be the second derivative of i**4/12 + i**3/3 - 3*i. Let x(s) = 6*a(s) + 4*b(s). What is the second derivative of x(z) wrt z?\n | -4\n | ibivibiv/math_instruct | |
Let a(b) = b**3 - 142*b**2 + 2019*b - 40. What is the least common multiple of 2051/3 + (-2)/(-6) and a(16)?\n | 1368\n | ibivibiv/math_instruct | |
Let o = -1.8 + 1.93. Let p = -4.87 - o. Which is the nearest to 0? (a) p (b) -1/2 (c) -4/7\n | b\n | ibivibiv/math_instruct | |
Let c(a) be the first derivative of 5*a**3/3 - 6093. Let b(j) = 273*j. Give b(c(o)).\n | 1365*o**2\n | ibivibiv/math_instruct | |
What is the thousands digit of 3613?\n | 3\n | ibivibiv/math_instruct | |
What is prob of picking 2 a and 1 k when three letters picked without replacement from yyuyyykuayykyy?\n | 0\n | ibivibiv/math_instruct | |
What is 142934 to the power of 1/8, to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
Let v(i) = 18*i**2 + 12. Let j(h) = 1. Let q = -13288 + 13289. Give q*v(l) - 12*j(l).\n | 18*l**2\n | ibivibiv/math_instruct | |
What is 11128 to the power of 1/2, to the nearest integer?\n | 105\n | ibivibiv/math_instruct | |
Round 0.0293592 to 3 dps.\n | 0.029\n | ibivibiv/math_instruct | |
Let m(a) = 27 + 7*a - 3*a**3 - 5*a**2 + a**3 + a**3 - 23. Let q be m(-8). Suppose -4*b - 36 = -q. Calculate the highest common divisor of 39 and b.\n | 13\n | ibivibiv/math_instruct | |
Calculate 2 - (2 + 1) - -47 - (-5485 - -5502).\n | 29\n | ibivibiv/math_instruct | |
Suppose -5*j + 96 = 2*p + 3, 2*p + 43 = 3*j. Suppose -w + j = -6*t + t, -w + 15 = -4*t. What is the second derivative of -5*b**5 - 5*b + 2*b + w*b + b wrt b?\n | -100*b**3\n | ibivibiv/math_instruct | |
Let k = -1.12 - -1.32. Let b = -18 - -6. Put 5, k, b in ascending order.\n | b, k, 5\n | ibivibiv/math_instruct | |
Let y be -1 - 66/(-54) - 278412/(-54). Let w = -3201877/621 + y. Is w at least 1?\n | False\n | ibivibiv/math_instruct | |
What is the product of 8 and 0.73237?\n | 5.85896\n | ibivibiv/math_instruct | |
Is 17401 a multiple of 3?\n | False\n | ibivibiv/math_instruct | |
What is the derivative of 1237203289*p**2 - 1429967773?\n | 2474406578*p\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {l: 4, c: 10, p: 2}. Give prob of picking 4 l.\n | 1/1820\n | ibivibiv/math_instruct | |
Suppose 5*b - 45 + 5 = 0. Let l(x) = -x**3 + 7*x**2 + 6*x + 17. Let f be l(b). Let o(q) = 237*q**2 + 2*q - 2. Is o(f) composite?\n | True\n | ibivibiv/math_instruct | |
Let h = 9 - 6. Let i = -26.1 + 491.1. Let z = i - 464.6. What is the closest to 1 in h, 5, z?\n | z\n | ibivibiv/math_instruct | |
Let b = -222.3000222 + 222.3. Round b to seven dps.\n | -0.0000222\n | ibivibiv/math_instruct | |
Let w be 60717/27 - 22/(-99). Let a = w - 1348. What are the prime factors of a?\n | 17, 53\n | ibivibiv/math_instruct | |
Suppose 20 = -4*p, z = p + 3*p + 29. What is the units digit of z?\n | 9\n | ibivibiv/math_instruct | |
Let m = -2 + 2.5. Let n = m + 6. Let r = n - 19. Round r to zero dps.\n | -13\n | ibivibiv/math_instruct | |
Let d be 174/(-72)*6323 - 1. Suppose 34952 = -5*m - 41398. Let b = m - d. Calculate the common denominator of b and -7/18.\n | 36\n | ibivibiv/math_instruct | |
Let w(h) = -5*h - 1. Let n be w(-2). Suppose 1446 - 822 = 26*r. Calculate the greatest common divisor of r and n.\n | 3\n | ibivibiv/math_instruct | |
What is the product of -4484635 and 0.4?\n | -1793854\n | ibivibiv/math_instruct | |
Calculate the common denominator of 83/1762 and 23/19.\n | 33478\n | ibivibiv/math_instruct | |
Suppose -8*s - w = -9*s + 9, -w = 2*s - 36. Solve -43*l + 40*l - s = r, 5*l + 25 = -3*r for l.\n | -5\n | ibivibiv/math_instruct | |
Simplify (g**(-2/5)/g)/(g/((g**4/g)/g*g)*g)*g*g/g**(5/6)*g/(g/((g*g*(g**(-1)/g)/g)/g))*g*g assuming g is positive.\n | g**(23/30)\n | ibivibiv/math_instruct | |
What is the second derivative of 249236*d**3*r + 231*d**2*r**3 + 9*d*r**3 - 2504609*r**3 wrt d?\n | 1495416*d*r + 462*r**3\n | ibivibiv/math_instruct |
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