instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the next term in -1300, -5666, -13924, -26878, -45332?\n | -70090\n | ibivibiv/math_instruct | |
How many minutes are there between 12:17 AM and 8:09 AM?\n | 472\n | ibivibiv/math_instruct | |
How many grams are there in 2.051915 nanograms?\n | 0.000000002051915\n | ibivibiv/math_instruct | |
Suppose -n + 12 = 3*k, k - 2 = -n - 0. Solve k*j = -9 - 1 for j.\n | -2\n | ibivibiv/math_instruct | |
Collect the terms in 3*c + 6*c + 2*c + 89 - 87.\n | 11*c + 2\n | ibivibiv/math_instruct | |
Is 115043 a prime number?\n | False\n | ibivibiv/math_instruct | |
Evaluate 8 - 12 - (-1 + -2 - 4).\n | 3\n | ibivibiv/math_instruct | |
Collect the terms in -2838*r + 2838*r - 10*r**2 + 181 + 7*r**2.\n | -3*r**2 + 181\n | ibivibiv/math_instruct | |
What is the nearest to 2/5 in -21.1425, 40, 1?\n | 1\n | ibivibiv/math_instruct | |
Let h(u) = 5*u**2 + 5*u**2 - 9*u**2. Let n(a) = -a. Let m(z) = z. Let p(c) = 2*m(c) + n(c). Calculate h(p(g)).\n | g**2\n | ibivibiv/math_instruct | |
Let w(z) = -9*z**3 + 10*z**2 + 24*z - 7. Let y be w(-5). Let d = y + -3. What is the hundreds digit of d?\n | 2\n | ibivibiv/math_instruct | |
What is the value of (-2 + -1 - (28 - 28)) + 7?\n | 4\n | ibivibiv/math_instruct | |
Rearrange -2 + 18 - 38*q**2 - 15 + (0*q + 2*q - 3*q)*(-2 + q + 2) + 0*q**2 - 3*q**2 + 2*q**2 + q**2 - 5*q**2 + 2*q**2 to j + m*q + r*q**2 and give r.\n | -42\n | ibivibiv/math_instruct | |
How many minutes are there between 8:33 AM and 1:35 PM?\n | 302\n | ibivibiv/math_instruct | |
Let a be 8/(-36) - (-75)/(-27). Let u be -3*a/9*25. Solve -u = -0*g - 5*g for g.\n | 5\n | ibivibiv/math_instruct | |
Expand (0*q - q + 0*q)*(15 - 15 + 4*q).\n | -4*q**2\n | ibivibiv/math_instruct | |
Let j = 5 + -3. Suppose -r = -3*v + 47, -2*v - 3*r + 47 = 12. Calculate the remainder when v/24 + (-13)/(-3) is divided by j.\n | 1\n | ibivibiv/math_instruct | |
Suppose d = 3*v + 4 - 12, 6 = 3*v. Suppose -3*w = 3*z - 18, 4*w - 35*z - 26 = -40*z. Which is the biggest value? (a) d (b) w (c) -5\n | b\n | ibivibiv/math_instruct | |
What is 6.72821 centimeters in millimeters?\n | 67.2821\n | ibivibiv/math_instruct | |
Suppose 0 = -3*h - 8 + 122. Is h a multiple of 2?\n | True\n | ibivibiv/math_instruct | |
What is the result of the following expression?
83.2032 % -50.2591 | -17.3150 | ibivibiv/math_instruct | |
Which is greater: -1/2098 or -5/4?\n | -1/2098\n | ibivibiv/math_instruct | |
Suppose -5*j = 5*v - 30, -5*v + 5 - 2 = -4*j. Suppose 7 = b - j. Solve 2*n + 3*n + b = 0 for n.\n | -2\n | ibivibiv/math_instruct | |
What is the fifth root of 554264774 to the nearest integer?\n | 56\n | ibivibiv/math_instruct | |
Let p(h) = h**3 + 4*h**2 - 2*h - 13. Let j be p(-3). Suppose 6*v + 21 = y + j*v, 31 = y + v. What is the remainder when y is divided by 10?\n | 9\n | ibivibiv/math_instruct | |
Expand 66*s**3 + 23*s**3 + 8*s**3 + (-1 + 1 - 2*s**2)*(2*s + 2*s - 2*s) + (2 - 4 - 2)*(-7*s**3 + 0*s**3 + 2*s**3) + 4*s**2 - 4*s**2 - 2*s**3.\n | 111*s**3\n | ibivibiv/math_instruct | |
Suppose -24*r - 480 = 8*r + 8*r. Put r, -10, 5, -5 in ascending order.\n | r, -10, -5, 5\n | ibivibiv/math_instruct | |
Is -672 <= -25?\n | True\n | ibivibiv/math_instruct | |
What is the next term in 724, 1927, 3922, 6703, 10264, 14599, 19702?\n | 25567\n | ibivibiv/math_instruct | |
What is the cube root of 634594443 to the nearest integer?\n | 859\n | ibivibiv/math_instruct | |
Solve -4*y - 30 = p, 5*y + 8*p - 9*p + 42 = 0 for y.\n | -8\n | ibivibiv/math_instruct | |
Let s(y) be the third derivative of y**7/1365 + y**6/260 + y**5/130 + y**4/156 + 40*y**3/3 - 38*y**2 - 1. Let n(h) be the first derivative of s(h). Factor n(f).\n | 2*(f + 1)**2*(4*f + 1)/13\n | ibivibiv/math_instruct | |
Work out 175 * -0.24692.\n | -43.211\n | ibivibiv/math_instruct | |
Is 1/45 greater than 1?\n | False\n | ibivibiv/math_instruct | |
Factor -w**3/2 - 15*w**2/2 - 75*w/2 - 125/2.\n | -(w + 5)**3/2\n | ibivibiv/math_instruct | |
List the prime factors of 31380597.\n | 3, 163, 21391\n | ibivibiv/math_instruct | |
Solve -568729 = -274*q - 601061 for q.\n | -118\n | ibivibiv/math_instruct | |
Let l = -7 - -8. Let i be l - -172 - 0/9. Let w = i + -16. Is w prime?\n | True\n | ibivibiv/math_instruct | |
How many nanometers are there in 52/5 of a micrometer?\n | 10400\n | ibivibiv/math_instruct | |
List the prime factors of 13412820.\n | 2, 3, 5, 223547\n | ibivibiv/math_instruct | |
Three letters picked without replacement from aeqeaaqaaaaaaae. What is prob of sequence qaq?\n | 2/273\n | ibivibiv/math_instruct | |
Let t = 83 - 156. Let y = 7 + t. Let c = y + 176. Is c a multiple of 19?\n | False\n | ibivibiv/math_instruct | |
Suppose -3*s + 4 + 5 = 0. Let y(l) = 4*l - 1. Does 11 divide y(s)?\n | True\n | ibivibiv/math_instruct | |
List the prime factors of 1507672124.\n | 2, 7, 5209, 10337\n | ibivibiv/math_instruct | |
Is 99 a factor of 655059?\n | False\n | ibivibiv/math_instruct | |
What is the common denominator of -13/641976 and 107/481482?\n | 1925928\n | ibivibiv/math_instruct | |
What is -1 + -17 - (-6 + 8 + -4)?\n | -16\n | ibivibiv/math_instruct | |
What comes next: -743680, -1487359, -2231052, -2974765, -3718504?\n | -4462275\n | ibivibiv/math_instruct | |
Let m(a) be the third derivative of -a**7/70 + a**6/30 - a**3/6 - 8*a**2. Let q(d) = -4*d**4 + 5*d**3 - 2. Let x(g) = 5*m(g) - 4*q(g). Differentiate x(c) wrt c.\n | 4*c**3\n | ibivibiv/math_instruct | |
What comes next: -54, -72, -42, 84, 354, 816, 1518?\n | 2508\n | ibivibiv/math_instruct | |
What is 0.1556 - 0.8?\n | -0.6444\n | ibivibiv/math_instruct | |
Let t(g) = -2*g**2 + 8*g - 2. Let v be t(4). Let d be 4 + 2/v + -1. Solve 0*r + 8 = 4*r - d*l, 2*l = -4*r + 16 for r.\n | 3\n | ibivibiv/math_instruct | |
Sort -2, 272, -6, 0 in ascending order.\n | -6, -2, 0, 272\n | ibivibiv/math_instruct | |
In a manufacturing plant, it takes 36 machines a certain number of hours of continuous work to fill 8 standard orders. At this rate, 72 machines require 6 hours of continuous work to fill 24 standard orders. How many hours did the 36 machines work? | Let's denote the number of hours the 36 machines work to fill 8 standard orders as H.
According to the problem, 36 machines take H hours to fill 8 orders. This means that the rate at which the 36 machines work is 8 orders per H hours, or the work rate is 8/H orders per hour.
Now, we are told that 72 machines (which i... | ibivibiv/math_instruct | |
Let x = 499 + -498.9737. Let g = -90.9737 - x. Which is bigger: g or -1/4?\n | -1/4\n | ibivibiv/math_instruct | |
What is the units digit of ((-2)/3)/((-4)/156)?\n | 6\n | ibivibiv/math_instruct | |
Simplify (((n**1)**(-4/3)/(n*n/n**(-1))**(-41))**(-2/91))**(-4/25) assuming n is positive.\n | n**(584/1365)\n | ibivibiv/math_instruct | |
What is three tenths of a litre in millilitres?\n | 300\n | ibivibiv/math_instruct | |
Product of 4 and -84.6.\n | -338.4\n | ibivibiv/math_instruct | |
Is 702 a multiple of 42?\n | False\n | ibivibiv/math_instruct | |
Let o(x) = x**3 - 4*x**2 - 3*x - 7. Let f(m) = 2*m**2 + 3*m + 3. Let n be f(-2). Let t be o(n). Solve -t*z = -z for z.\n | 0\n | ibivibiv/math_instruct | |
Solve -12956 = 433*s - 9789 + 16751 for s.\n | -46\n | ibivibiv/math_instruct | |
How many centimeters are there in three tenths of a kilometer?\n | 30000\n | ibivibiv/math_instruct | |
What are the prime factors of (1/2)/(-5 + (-41555)/(-8310))?\n | 3, 277\n | ibivibiv/math_instruct | |
Simplify ((6*1*sqrt(102) - sqrt(102)*2*-5)/(-4*(sqrt(6)*-1*-6 - (sqrt(6) + sqrt(294) + (sqrt(294) - 1*sqrt(294) - sqrt(294))))))**2.\n | 272/25\n | ibivibiv/math_instruct | |
A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40. What is the reduced price/dozen?
Answer Choices: (A) 3 (B) 4 (C) 6 (D) 8 (E) 9 | Lets reason about the multi-choice question.
Sol. lie purchases 6a bananas mere for 4096 of Rs 40 or, Rs 16. Reduced price per do,. 3
The answe is A | ibivibiv/math_instruct | |
Let t(y) = y**2 + y - 1. Let c(z) = -4*z**2 + 3*z + 5. Let f(g) = -c(g) - 2*t(g). Factor f(k).\n | (k - 3)*(2*k + 1)\n | ibivibiv/math_instruct | |
Solve -15*a = -63*a - 144 for a.\n | -3\n | ibivibiv/math_instruct | |
Find i, given that -3*i**5 + 3351*i**4 - 1217877*i**3 + 145813425*i**2 - 287986608*i + 143387712 = 0.\n | 1, 312, 491\n | ibivibiv/math_instruct | |
Let n be (-350)/40 + 1 + 7. Sort 0.04, 1, n, -3 in increasing order.\n | -3, n, 0.04, 1\n | ibivibiv/math_instruct | |
Rearrange 2246*l - 9833 + 9836 + 556*l to the form q*l + c and give q.\n | 2802\n | ibivibiv/math_instruct | |
How many minutes are there between 10:39 AM and 4:38 PM?\n | 359\n | ibivibiv/math_instruct | |
Is 68 a factor of 69811903?\n | False\n | ibivibiv/math_instruct | |
Margaux owns a money lending company. Her friend pays her $5 per day, her brother $x per day, and her cousin $4 per day. How much money will she collect after 7 days?
If we know the answer to the above question is 119, what is the value of unknown variable x? | Margauxs friend pays her $5 per day, so after 7 days, Margaux will collect 7 * $5 = $35 from her friend.
Her brother pays her $x per day, so after 7 days, Margaux will collect 7 * $x = $7x from her brother.
Her cousin pays her $4 per day, so after 7 days, Margaux will collect 7 * $4 = $28 from her cousin.
The total amo... | ibivibiv/math_instruct | |
Calculate -2596 divided by -649.\n | 4\n | ibivibiv/math_instruct | |
Rearrange -107*o**2 + 20*o**2 - 23*o**2 - 25*o**2 to t*o**2 + d + p*o and give t.\n | -135\n | ibivibiv/math_instruct | |
Let m(s) = -s**2 + 9*s + 17. Suppose -10 = -p - 0. What is the remainder when 20 is divided by m(p)?\n | 6\n | ibivibiv/math_instruct | |
Divide -19 by -6923.\n | 19/6923\n | ibivibiv/math_instruct | |
Let x(r) = r + 9. Let g(i) = 5*i - 35. Let w be g(6). Let z be x(w). Solve -m - 7 = -z for m.\n | -3\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {f: 3, v: 4, c: 5}. What is prob of sequence cfvc?\n | 2/99\n | ibivibiv/math_instruct | |
Simplify (((2*sqrt(117) - sqrt(117) - sqrt(117))*4 - sqrt(117))/(-2*(sqrt(81) - sqrt(9))))**2.\n | 13/16\n | ibivibiv/math_instruct | |
Let q = -5 + 9. Suppose 0 = q*x + 23 - 3. Let b(d) = d**2 + 3*d + 4. What is the tens digit of b(x)?\n | 1\n | ibivibiv/math_instruct | |
Solve 16*q + 96 = -13*q + 13*q for q.\n | -6\n | ibivibiv/math_instruct | |
Is 25511 prime?\n | False\n | ibivibiv/math_instruct | |
Let a = -138.9 - 1071.1. Let p = a + 1209.9999071. Round p to six decimal places.\n | -0.000093\n | ibivibiv/math_instruct | |
Collect the terms in 1538*f - f**2 - 6757 + 6757.\n | -f**2 + 1538*f\n | ibivibiv/math_instruct | |
Let x**2 + 31864*x + 253828624 = 0. Calculate x.\n | -15932\n | ibivibiv/math_instruct | |
Let s be 4 + 7 - (2 - -1). Solve -s = -59*b + 61*b for b.\n | -4\n | ibivibiv/math_instruct | |
Let z be (-1)/(-2 + 1)*1. Suppose -3*n + 2*k - z = 0, n + n = 5*k - 19. Suppose 5*q = 2 + n. What is the units digit of q?\n | 1\n | ibivibiv/math_instruct | |
Is -1849095 bigger than -1849093?\n | False\n | ibivibiv/math_instruct | |
Calculate -532 divided by 45.\n | -532/45\n | ibivibiv/math_instruct | |
b"What is the rth term of 309, 1059, 2281, 3975, 6141, 8779, 11889?\n" | 236*r**2 + 42*r + 31\n | ibivibiv/math_instruct | |
Solve -13*j - 27*j - 394 + 154 = 0 for j.\n | -6\n | ibivibiv/math_instruct | |
What is the highest common factor of 4976 and 5284?\n | 4\n | ibivibiv/math_instruct | |
What is the third biggest value in -43, 0.3, -179472?\n | -179472\n | ibivibiv/math_instruct | |
List the prime factors of 4109646.\n | 2, 3, 67, 10223\n | ibivibiv/math_instruct | |
Which is the sixth smallest value? (a) -2/521 (b) -0.05 (c) -1/5 (d) 5 (e) -1.9 (f) 0.3 (g) 7\n | d\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {c: 3, n: 3, d: 5}. What is prob of picking 2 c and 1 d?\n | 1/11\n | ibivibiv/math_instruct | |
What is -1638748 divided by -4?\n | 409687\n | ibivibiv/math_instruct | |
Suppose 34*v - 37 - 31 = 0. Let c(a) = -a**2 - 7*a + 2. Let z be c(-7). Let f(k) = -4 + 3 + 2*k + z*k. Calculate f(v).\n | 7\n | ibivibiv/math_instruct |
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