instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let q(c) be the second derivative of 239*c**4/2 + c**3/3 - 3*c**2/2 - 5*c + 1. Is q(2) a prime number?\n | True\n | ibivibiv/math_instruct | |
Solve y - 595 = -37*y + 89 for y.\n | 18\n | ibivibiv/math_instruct | |
Put together 3 and 9189964.\n | 9189967\n | ibivibiv/math_instruct | |
What are the prime factors of 354852771?\n | 3, 7, 13, 1299827\n | ibivibiv/math_instruct | |
Let h be (4 + -1)*(95280/18)/2. Suppose -13*r + 3*r = -h. Is r a composite number?\n | True\n | ibivibiv/math_instruct | |
Simplify (((3*(sqrt(132) + sqrt(132) + (-2*sqrt(132) - sqrt(132))))/sqrt(6))/((sqrt(99) + -4*sqrt(99)*1)/sqrt(9)))**2.\n | 2\n | ibivibiv/math_instruct | |
Suppose -4*s + 46 = 5*m - 66, 2*m - 2*s - 52 = 0. Let d be (m/(-5))/((-102)/(-340)). Is d at most as big as -14?\n | True\n | ibivibiv/math_instruct | |
What is the value of (-1190)/15*(-66)/539*7?\n | 68\n | ibivibiv/math_instruct | |
Expand (-3 - 2 + 3)*(3*b**2 + b**2 - 2*b**2) - 3 - 3*b**2 + 3 + (-2 - 2 + 3)*(b**2 - b**2 + 2*b**2).\n | -9*b**2\n | ibivibiv/math_instruct | |
Solve -36*g**5/5 + 360204*g**4/5 - 890674528*g**3/5 - 51866734944*g**2/5 - 196767316032*g/5 - 193198852928/5 = 0.\n | -53, -2, 15094/3\n | ibivibiv/math_instruct | |
Suppose 10 = 4*t + k - 623, -2*t - k + 317 = 0. Let u = -149 + t. Is u a composite number?\n | True\n | ibivibiv/math_instruct | |
Simplify (m**(-9)*m)/((m**(-2/5)*m)/m)*(m/(m/((m**(1/10)/m)/m)))/m*m/(m**17/m) assuming m is positive.\n | m**(-51/2)\n | ibivibiv/math_instruct | |
Let v = -87/211 + -228561/2954. Let p = 2120/21 + v. Let h = 4525 + -81425/18. What is the common denominator of p and h?\n | 18\n | ibivibiv/math_instruct | |
Let y(o) = o**2 + 14*o + 20. Let d be y(-25). Let s = d - 285. Calculate the least common multiple of 45 and s.\n | 90\n | ibivibiv/math_instruct | |
What is prob of sequence rjjk when four letters picked without replacement from {j: 1, l: 1, k: 2, r: 1}?\n | 0\n | ibivibiv/math_instruct | |
Let k = -148.6898 + 148.3. Round k to one decimal place.\n | -0.4\n | ibivibiv/math_instruct | |
Let b(d) = -5*d + 3. Let y(u) = -6*u + 4. Let m(w) = 5*b(w) - 4*y(w). Let t be m(-1). What is the units digit of (0 - t)/1 + 3?\n | 3\n | ibivibiv/math_instruct | |
Which is bigger: -19 or -336/17?\n | -19\n | ibivibiv/math_instruct | |
Solve 0 = 5*w - 5*l - 60, 0 = 218*w - 215*w + 3*l + 48 for w.\n | -2\n | ibivibiv/math_instruct | |
Let d(s) = s + 1. Let r(p) = -7*p**2 - 7*p - 1. Let a(m) = -m**2 - m. Let c(x) = -6*a(x) + r(x). Let u = -41 - -42. Calculate u*d(j) + c(j).\n | -j**2\n | ibivibiv/math_instruct | |
Let r be 2/(-8) + 130/8. Let u = r + 15. Calculate the highest common factor of u and 341.\n | 31\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(84.729 / -4.842) + -53.058 | -70.5568 | ibivibiv/math_instruct | |
Let b be 18/(-4)*(-104)/156. Put -2, b, 1, 4 in ascending order.\n | -2, 1, b, 4\n | ibivibiv/math_instruct | |
Suppose 20316 = -13*z - 8999. Round z to the nearest one hundred.\n | -2300\n | ibivibiv/math_instruct | |
What is the closest to 0.031 in -5, 5/3, 5?\n | 5/3\n | ibivibiv/math_instruct | |
Simplify 4 + 1*(sqrt(176) + sqrt(176) + (-5*(sqrt(176)*1 - sqrt(176)))**2) + 4.\n | 8 + 8*sqrt(11)\n | ibivibiv/math_instruct | |
Let s(g) = -g**3 + 14*g**2 + 3*g - 15. Is 27 a factor of s(14)?\n | True\n | ibivibiv/math_instruct | |
Sort 19, 4, -3 in descending order.\n | 19, 4, -3\n | ibivibiv/math_instruct | |
Evaluate (160/(-64))/((-55)/(-418)).\n | -19\n | ibivibiv/math_instruct | |
Calculate 4/(-4)*(-5)/(-1).\n | -5\n | ibivibiv/math_instruct | |
List the prime factors of 1807.\n | 13, 139\n | ibivibiv/math_instruct | |
Solve 0 = h + 6, -3*h - 25 + 19 = -4*a for a.\n | -3\n | ibivibiv/math_instruct | |
What is the third root of 4870078 to the nearest integer?\n | 170\n | ibivibiv/math_instruct | |
Put together -0.454966042 and 2.\n | 1.545033958\n | ibivibiv/math_instruct | |
What is prob of picking 1 b, 1 o, and 1 i when three letters picked without replacement from iiobqiioqoiiibiiboi?\n | 40/323\n | ibivibiv/math_instruct | |
Let g(x) = 1098*x - 27930. Give g(25).\n | -480\n | ibivibiv/math_instruct | |
Calculate ((-16)/(-4))/(10/(-135)*-9).\n | 6\n | ibivibiv/math_instruct | |
Determine i, given that -i**4/6 + 23*i**3/6 - 65*i**2/2 + 725*i/6 - 500/3 = 0.\n | 5, 8\n | ibivibiv/math_instruct | |
Calculate the common denominator of 1/714 and (-13)/(-5) - (23097/(-630) - -43).\n | 714\n | ibivibiv/math_instruct | |
How many millilitres are there in 7/2 of a litre?\n | 3500\n | ibivibiv/math_instruct | |
Two letters picked without replacement from btbxbttjbboxopbjto. What is prob of sequence xo?\n | 1/51\n | ibivibiv/math_instruct | |
Let p(i) = i**2 - 12*i + 25. Let g be p(8). What is the second biggest value in 0.4, g, -12?\n | g\n | ibivibiv/math_instruct | |
What is next in 1313, 2628, 3943, 5258?\n | 6573\n | ibivibiv/math_instruct | |
Solve 2*s + 3*j - 13 = 0, 0 = 5*s - 5*j - 4 - 16 for s.\n | 5\n | ibivibiv/math_instruct | |
Let y be 1 + 2058/26 - 22/143. Let u = y + 114. Calculate the remainder when u is divided by 51.\n | 41\n | ibivibiv/math_instruct | |
Let d = 59 - 103. Let j = d - -76. Suppose -14 = -2*v + 8. Calculate the remainder when j is divided by v.\n | 10\n | ibivibiv/math_instruct | |
Simplify ((x**(-3/2)/x)**(-2/17))**18 assuming x is positive.\n | x**(90/17)\n | ibivibiv/math_instruct | |
Put -2/37, -1/11, 25, -2/279 in descending order.\n | 25, -2/279, -2/37, -1/11\n | ibivibiv/math_instruct | |
What is -178446 rounded to the nearest one thousand?\n | -178000\n | ibivibiv/math_instruct | |
What is 3232877 to the power of 1/2, to the nearest integer?\n | 1798\n | ibivibiv/math_instruct | |
Let v = 46 - 9. Calculate the remainder when 221 is divided by v.\n | 36\n | ibivibiv/math_instruct | |
Collect the terms in 35709*v - 5 + 3 - 35721*v.\n | -12*v - 2\n | ibivibiv/math_instruct | |
Simplify (x/(x/(x**17*x)))/(x/(x/(x**1/x))*x) assuming x is positive.\n | x**17\n | ibivibiv/math_instruct | |
Let h(p) = -1274*p**2 - 6*p - 20. Let d(c) = 2548*c**2 + 11*c + 33. What is -3*d(u) - 5*h(u)?\n | -1274*u**2 - 3*u + 1\n | ibivibiv/math_instruct | |
Suppose -2*w + w + 187 = 0. What is the greatest common divisor of 17 and w?\n | 17\n | ibivibiv/math_instruct | |
What is the smallest value in -0.01, -3, 3, -21?\n | -21\n | ibivibiv/math_instruct | |
Let k(b) = 9*b - 122. Let j be k(15). Suppose 0 = 4*d - 5*h + 221, -2*d + 12*h - 93 = j*h. Which is bigger: -55 or d?\n | d\n | ibivibiv/math_instruct | |
Let y(s) = 8*s**2 + 8*s + 5. Let c be y(-6). Suppose 2813 - 1867 = 112*g - 2974. Calculate the greatest common factor of c and g.\n | 35\n | ibivibiv/math_instruct | |
Solve -5*s = 10*i + 82 - 57, 2*s - 5 = i for s.\n | 1\n | ibivibiv/math_instruct | |
Let a(k) be the first derivative of -k**2 + 6*k - 4 - 1/3*k**3. What is a(-5)?\n | -9\n | ibivibiv/math_instruct | |
Is 170748 greater than 1365985/8?\n | False\n | ibivibiv/math_instruct | |
Suppose 99 = -0*y + 3*y. Let u = y + -22. Is u a multiple of 11?\n | True\n | ibivibiv/math_instruct | |
Is 3137 a composite number?\n | False\n | ibivibiv/math_instruct | |
Collect the terms in 6*a**2 - 1496*a + 3 + 1496*a.\n | 6*a**2 + 3\n | ibivibiv/math_instruct | |
What is the square root of 6323654 to the nearest integer?\n | 2515\n | ibivibiv/math_instruct | |
Let u = -3246 - -3248. Let n(p) = -2*p - 1. Let t be n(-3). Solve u = g + t for g.\n | -3\n | ibivibiv/math_instruct | |
Suppose -12 = -5*p + 2*p, 2*z = -5*p + 66. Is 2 a factor of z?\n | False\n | ibivibiv/math_instruct | |
Let d(h) = h**3 - 6*h**2 - 17*h - 19. Calculate d(8).\n | -27\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 t, 1 b, and 2 y when four letters picked without replacement from {b: 1, y: 16, t: 3}.\n | 24/323\n | ibivibiv/math_instruct | |
What is the value of (137/2055)/((-1)/10)?\n | -2/3\n | ibivibiv/math_instruct | |
Let i = 1577116/5 + -315422. Solve -8/5*p - 2/5*p**2 - i = 0 for p.\n | -3, -1\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 314 and 5.\n | 1570\n | ibivibiv/math_instruct | |
In base 7, what is -4643 - -5?\n | -4635\n | ibivibiv/math_instruct | |
How many millennia are there in 277656.1 decades?\n | 2776.561\n | ibivibiv/math_instruct | |
In a zoo, a hare is 14 inches tall, while a camel is x times taller than the hare. How tall is the camel in feet?
If we know the answer to the above question is 28, what is the value of unknown variable x? | We know that the hare is 14 inches tall.
We also know that the camel is x times taller than the hare, so the height of the camel is 14 * x inches.
To convert inches to feet, we divide by 12 since there are 12 inches in a foot.
So the height of the camel in feet is (14 * x) / 12.
We are given that the height of the came... | ibivibiv/math_instruct | |
What is next in -12, -23, -34, -45, -56?\n | -67\n | ibivibiv/math_instruct | |
Is 0 > 2/844437?\n | False\n | ibivibiv/math_instruct | |
How many minutes are there between 7:04 PM and 11:41 PM?\n | 277\n | ibivibiv/math_instruct | |
Calculate 4.3*-1052406.\n | -4525345.8\n | ibivibiv/math_instruct | |
Let j(m) = -m**2. Let z(h) = h**2 - 75*h + 75*h. Let f(g) = 5*j(g) + 4*z(g). Let d(c) = -2*c**2. Calculate d(f(o)).\n | -2*o**4\n | ibivibiv/math_instruct | |
Is 94530017 a prime number?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in -2*n**2 + 11*n - 11*n + 664155.\n | -2*n**2 + 664155\n | ibivibiv/math_instruct | |
Which is the third biggest value? (a) 2 (b) -4/19 (c) -44\n | c\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 r and 1 k when three letters picked without replacement from {m: 2, r: 7, k: 2}.\n | 14/55\n | ibivibiv/math_instruct | |
Let i(p) = -2*p. Let r(n) be the second derivative of -n**3/6 + n**2 - 155*n. What is r(i(h))?\n | 2*h + 2\n | ibivibiv/math_instruct | |
Solve -2*w = p + 2741 - 2722, -2820*p - 16081 - 9324 = 5*w for p.\n | -9\n | ibivibiv/math_instruct | |
Does 34 divide (-9 - 1)/((-2)/(-1520)*-5)?\n | False\n | ibivibiv/math_instruct | |
Let v(n) = -n**2 + 22*n + 48. Let p be v(24). Suppose p = 6*a + 4 - 10. Put 3, 9, a, 2 in descending order.\n | 9, 3, 2, a\n | ibivibiv/math_instruct | |
Let r(h) = 10*h**2 + 8*h - 8. Let j(w) = 3*w**2 + 3*w - 3. Let d(k) = -8*j(k) + 3*r(k). Let l(m) = -259*m - 2. What is l(d(b))?\n | -1554*b**2 - 2\n | ibivibiv/math_instruct | |
Calculate -8933303 divided by 6.\n | -8933303/6\n | ibivibiv/math_instruct | |
Rearrange 72 + 9*r**2 + 8*r**2 - 16*r**2 to the form g*r + s*r**2 + t and give s.\n | 1\n | ibivibiv/math_instruct | |
Let k(b) = 44 - 28*b + 167 - 87. Is 10 a factor of k(-2)?\n | True\n | ibivibiv/math_instruct | |
Expand (4 - i - 3 + 3*i)*(13 - 29 - 10)*(-2 + 2 - 3).\n | 156*i + 78\n | ibivibiv/math_instruct | |
Calculate the remainder when 4586 is divided by 2997.\n | 1589\n | ibivibiv/math_instruct | |
1 divided by 682\n | 1/682\n | ibivibiv/math_instruct | |
Factor 5*c**2 - 1420*c + 100820.\n | 5*(c - 142)**2\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 99365 and 280.\n | 794920\n | ibivibiv/math_instruct | |
Work out 0.982 - 55412109885.\n | -55412109884.018\n | ibivibiv/math_instruct | |
Divide 1460 by 5.\n | 292\n | ibivibiv/math_instruct | |
Let w(b) = -b**2 + 4384*b + 57150. Calculate w(-13).\n | -11\n | ibivibiv/math_instruct |
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