instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let y(u) be the first derivative of -49*u**6/2 - 7*u**4/4 - 19*u**3/3 + 8*u**2 - 4*u - 1893. Find the third derivative of y(h) wrt h.\n | -8820*h**2 - 42\n | ibivibiv/math_instruct | |
Collect the terms in -119*a**3 + 69*a**3 + 63*a**3.\n | 13*a**3\n | ibivibiv/math_instruct | |
What is 70.87886mm in micrometers?\n | 70878.86\n | ibivibiv/math_instruct | |
Let t = -5 - -14. Let p = -9 + t. Sort -3, p, 4.\n | -3, p, 4\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 518992544 and 30.\n | 7784888160\n | ibivibiv/math_instruct | |
Suppose 5*x - 314 = -g, g + x - 664 = -g. Let f = 678 - g. What is the tens digit of f?\n | 4\n | ibivibiv/math_instruct | |
Let r(m) = 15*m**3 + 10*m**2 - 16*m - 26. Let x(l) = 3*l**3 + 2*l**2 - 3*l - 5. Let u(i) = 2*r(i) - 11*x(i). Is u(-3) a multiple of 21?\n | True\n | ibivibiv/math_instruct | |
Let l(x) = -3*x. Calculate l(1).\n | -3\n | ibivibiv/math_instruct | |
Which is the fourth smallest value? (a) 2/11 (b) 4 (c) 3 (d) -19\n | b\n | ibivibiv/math_instruct | |
Is 25629 <= 1081?\n | False\n | ibivibiv/math_instruct | |
Let w be 2/(-4)*(-1022 - 6). Suppose -w - 31 = -5*h. Suppose 0 = 2*x - 4*x + 5*o + 117, 2*x + 3*o = h. Does 14 divide x?\n | True\n | ibivibiv/math_instruct | |
How many minutes are there between 9:12 AM and 9:51 AM?\n | 39\n | ibivibiv/math_instruct | |
Let n be (-44)/6 + 1/3. Let d(m) = -m - 4741969 + 0*m + 4741960. Let z(a) = -a**2 - 4*a + 14. Let f be z(-6). Let y(u) = -3. What is f*d(i) + n*y(i)?\n | -2*i + 3\n | ibivibiv/math_instruct | |
What is 0.00055255 rounded to five decimal places?\n | 0.00055\n | ibivibiv/math_instruct | |
7 + 5 + 1 + -15 - (-1 + 9 - -3)\n | -13\n | ibivibiv/math_instruct | |
What is -0.01 + 315753163?\n | 315753162.99\n | ibivibiv/math_instruct | |
Solve -v = -4*r + 37 - 28, 0 = 5*r - v - 10 for r.\n | 1\n | ibivibiv/math_instruct | |
Let k be 12/96 + 34/(-16). Which is the third smallest value? (a) 1/4 (b) 5 (c) k\n | b\n | ibivibiv/math_instruct | |
Let d(s) = 3*s + 24. Let b be d(-8). Let h(x) be the third derivative of x**6/120 - x**5/60 + x**4/24 + x**3/2 + 5*x**2. What is the units digit of h(b)?\n | 3\n | ibivibiv/math_instruct | |
Rearrange 7 + 2*c + 38*c**4 + 16 - 3*c - 42 to m*c**4 + x + n*c**3 + o*c + l*c**2 and give o.\n | -1\n | ibivibiv/math_instruct | |
Calculate -204 divided by 208039.\n | -204/208039\n | ibivibiv/math_instruct | |
-112 (base 5) to base 14\n | -24\n | ibivibiv/math_instruct | |
What is 5 divided by 40?\n | 1/8\n | ibivibiv/math_instruct | |
Let b(q) = q + 8. Let d be b(-6). Let u be (-1)/1 + 4/(0 + 4). Solve u = -i + d for i.\n | 2\n | ibivibiv/math_instruct | |
Suppose 2*f + 4 = 2. Let i(c) = c**2 - c + 1. Let u(k) = -5*k**2 + 4*k - 5. Let j(n) = -4*i(n) - u(n). Let h(t) = 5*t**2 - 2*t + 4. Give f*h(v) + 6*j(v).\n | v**2 + 2*v + 2\n | ibivibiv/math_instruct | |
Let v = -693 + -510. Let m be (1 + (-33)/(-9))*(-2061)/(-2). Is 1/(m/v - -4) a composite number?\n | False\n | ibivibiv/math_instruct | |
Convert -7 (base 12) to base 7.\n | -10\n | ibivibiv/math_instruct | |
Find the second derivative of -15*l**4*s + 2*l**2*s - l**2 - 2*l - 2*s - 3 wrt l.\n | -180*l**2*s + 4*s - 2\n | ibivibiv/math_instruct | |
Suppose -3*w - w = -2608. List the prime factors of w.\n | 2, 163\n | ibivibiv/math_instruct | |
Simplify (((k*k**(-10/13))/k*k)/k**26)/(((k**(5/12)/k*k)/k)/k)**(20/3) assuming k is positive.\n | k**(-1780/117)\n | ibivibiv/math_instruct | |
Calculate ((-27)/12)/(((-530)/(-1855))/(4/(-21))).\n | 3/2\n | ibivibiv/math_instruct | |
Sort -2, -1, 37, -11, 3.\n | -11, -2, -1, 3, 37\n | ibivibiv/math_instruct | |
In base 13, what is 5c190 + 1?\n | 5c191\n | ibivibiv/math_instruct | |
What is the units digit of 3249?\n | 9\n | ibivibiv/math_instruct | |
9*((-10)/30)/(4/(-12))\n | 9\n | ibivibiv/math_instruct | |
Let g(f) = -f**3 + 195*f**2 + 3373*f - 81. Give g(-16).\n | -33\n | ibivibiv/math_instruct | |
Convert -14300 (base 5) to base 6.\n | -5320\n | ibivibiv/math_instruct | |
Let o be -3*(-3 + 11/3). Suppose q = 2*y - 15, 2*y - 3*q = -5*q. Suppose 5*g + 0*g + y = 0. Is o < g?\n | True\n | ibivibiv/math_instruct | |
Solve 4*y + 11 = 3*k, -4*y - 21 = 20*k - 25*k for k.\n | 5\n | ibivibiv/math_instruct | |
4 (base 8) to base 16\n | 4\n | ibivibiv/math_instruct | |
Simplify ((sqrt(15)*1*-3)/(sqrt(192) - sqrt(3)))**2 - -2*sqrt(15)/((sqrt(36) + (sqrt(576) - sqrt(36)) + sqrt(36))/sqrt(12)).\n | 2*sqrt(5)/5 + 45/49\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-8.375 * 32.471 | -271.9446 | ibivibiv/math_instruct | |
b"What is the yth term of -419577, -419575, -419573, -419571?\n" | 2*y - 419579\n | ibivibiv/math_instruct | |
What comes next: -14550, -27810, -41062, -54300, -67518, -80710, -93870, -106992?\n | -120070\n | ibivibiv/math_instruct | |
Is 3354 a multiple of 6?\n | True\n | ibivibiv/math_instruct | |
Let j(d) = -d**3 + 19*d**2 + 45*d - 44. Calculate j(22).\n | -506\n | ibivibiv/math_instruct | |
Sort 1/5, -1, 2/68579637.\n | -1, 2/68579637, 1/5\n | ibivibiv/math_instruct | |
Suppose -8186 + 1556 = 30*l. Let n = l - -221. Sort n, -2/5, 14 in decreasing order.\n | 14, n, -2/5\n | ibivibiv/math_instruct | |
Let i = -8 - -12. Let q(y) = 6*y**2 + 9 + 2*y - i*y**3 + 0*y**3 + 5*y**3. What is q(-6)?\n | -3\n | ibivibiv/math_instruct | |
Let d be (675486/10725)/21 + 6*2/(-4). Is d at least as big as 1?\n | False\n | ibivibiv/math_instruct | |
Convert 1193.8074 months to decades.\n | 9.948395\n | ibivibiv/math_instruct | |
Sort 0.2, -47.72, -0.3 in ascending order.\n | -47.72, -0.3, 0.2\n | ibivibiv/math_instruct | |
Suppose 3*o = 8*o - 39160. Let t = o + -78441/10. What is the common denominator of t and 64/3?\n | 30\n | ibivibiv/math_instruct | |
How many minutes are there between 6:00 PM and 8:10 PM?\n | 130\n | ibivibiv/math_instruct | |
Simplify ((-1*sqrt(320) + 2)*-1)**2*5.\n | -160*sqrt(5) + 1620\n | ibivibiv/math_instruct | |
Suppose -2*a - 8*j - 8 = -4*j, 4*j = 2*a - 16. Let y be 120/54 + a/(-9). Suppose -y*g = -0*g - 2. Solve 2*s + 4*z + 5 - g = 0, -2*s + 23 = -5*z for s.\n | 4\n | ibivibiv/math_instruct | |
b"What is the jth term of 219, 418, 563, 624, 571?\n" | -5*j**3 + 3*j**2 + 225*j - 4\n | ibivibiv/math_instruct | |
Let s(q) = -2*q**2 + 2*q + 91. Let n(d) = -6*d**2 + 5*d + 181. Give -2*n(j) + 5*s(j).\n | 2*j**2 + 93\n | ibivibiv/math_instruct | |
Is -1 >= -114/30175?\n | False\n | ibivibiv/math_instruct | |
What is the closest to 1 in 16/3, -11, 28/15271?\n | 28/15271\n | ibivibiv/math_instruct | |
How many minutes are there between 12:42 AM and 1:15 AM?\n | 33\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 82885 and 40.\n | 5\n | ibivibiv/math_instruct | |
What are the prime factors of 16075?\n | 5, 643\n | ibivibiv/math_instruct | |
Let m = -272 - -276. Which is greater: -14 or m?\n | m\n | ibivibiv/math_instruct | |
Suppose -14*y - 133 = -13643. What is the units digit of y?\n | 5\n | ibivibiv/math_instruct | |
Simplify ((-1*sqrt(85)*-5 - -1*(sqrt(85)*-4 + sqrt(85)))/(3*(1*sqrt(320) + sqrt(320)) - sqrt(320)*-2*-1))**2.\n | 17/256\n | ibivibiv/math_instruct | |
Let h(u) = u**3 + 6*u**2 - 213*u + 695. Determine h(9).\n | -7\n | ibivibiv/math_instruct | |
Let z(v) = -v**3 - 6*v**2 - 6*v + 2. Let b be z(-5). Solve -6 = b*r - 4*r for r.\n | -2\n | ibivibiv/math_instruct | |
Suppose -16 - 49 = -5*o. Let i = 6 - o. Let u = i + 15. Does 8 divide u?\n | True\n | ibivibiv/math_instruct | |
What is 9.445671ng in micrograms?\n | 0.009445671\n | ibivibiv/math_instruct | |
Simplify ((b*b**(-1/3)/b)**(-25)/(b/(b/(b*b**0*b*b*b))*b**(-2)))**(14/3) assuming b is positive.\n | b**(266/9)\n | ibivibiv/math_instruct | |
Round 4027400 to the nearest 1000000.\n | 4000000\n | ibivibiv/math_instruct | |
Let j = 0.674 - -0.066. Let b = j + -0.44. What is b rounded to one decimal place?\n | 0.3\n | ibivibiv/math_instruct | |
What is the third derivative of -108*d**2*h**3 + 12*d**2*h**2 - 354*d*h**6 + d*h**2 + 2*h - 182 wrt h?\n | -648*d**2 - 42480*d*h**3\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-36.5008 - 23.2595) + -76.9707 | -136.7310 | ibivibiv/math_instruct | |
What is next in -338, -2639, -8876, -21017, -41030, -70883, -112544, -167981?\n | -239162\n | ibivibiv/math_instruct | |
Let d(v) = -2*v**3 + 31*v**2 + 18*v + 72. What are the prime factors of d(-11)?\n | 6287\n | ibivibiv/math_instruct | |
Let w = 0 + 2. Suppose 5*p + 2*x - 171 = 0, 0 = 5*p + w*x - x - 173. What are the prime factors of p?\n | 5, 7\n | ibivibiv/math_instruct | |
Let z = 166 + -162. Let m = 206 - 205.6. Which is the nearest to -2? (a) m (b) z (c) -2\n | c\n | ibivibiv/math_instruct | |
What is the first derivative of 19*s**4 - 163932*s**3 + 6139253 wrt s?\n | 76*s**3 - 491796*s**2\n | ibivibiv/math_instruct | |
Calculate 294440 divided by -17.\n | -17320\n | ibivibiv/math_instruct | |
Suppose -9*k + 16 = -11. Find the second derivative of 88*n**3 - 89*n**k + 11*n**2 - 7*n - 2*n**2 + 33*n wrt n.\n | -6*n + 18\n | ibivibiv/math_instruct | |
List the prime factors of 2254.\n | 2, 7, 23\n | ibivibiv/math_instruct | |
Solve -50596 = 220380*p - 220744*p for p.\n | 139\n | ibivibiv/math_instruct | |
What is -0.10592101 rounded to four decimal places?\n | -0.1059\n | ibivibiv/math_instruct | |
What is the third smallest value in 0.5, -0.5, 0.12, -2/9?\n | 0.12\n | ibivibiv/math_instruct | |
What is 2642892 to the power of 1/10, to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
Simplify ((sqrt(468) + 2*sqrt(468))*5)/((sqrt(128)*1)/sqrt(8)).\n | 45*sqrt(13)/2\n | ibivibiv/math_instruct | |
Let i = -2249 + 17653/8. Is -41 less than i?\n | False\n | ibivibiv/math_instruct | |
Let g = 30 - 30. What is the closest to 0.1 in 2/5, g, 0.1?\n | 0.1\n | ibivibiv/math_instruct | |
What are the prime factors of 3196?\n | 2, 17, 47\n | ibivibiv/math_instruct | |
Simplify (2*((sqrt(104) + -2*sqrt(104) - sqrt(104))/sqrt(2))/((-2*sqrt(24))/sqrt(6)) + 5)**2.\n | 20*sqrt(13) + 77\n | ibivibiv/math_instruct | |
Solve 0 = b + 2*b + 9 for b.\n | -3\n | ibivibiv/math_instruct | |
Suppose -24941 = -140*b + 50*b + 339019. Calculate the highest common factor of 36 and b.\n | 12\n | ibivibiv/math_instruct | |
In base 3, what is 10011 - 2200?\n | 111\n | ibivibiv/math_instruct | |
Let x = -882993 - -882993. Let r be (-3)/(-35) + 3/15. Factor 6/7*h - r*h**2 + x.\n | -2*h*(h - 3)/7\n | ibivibiv/math_instruct | |
Collect the terms in 1 + 1 - 2 + 8300*p + 40964*p.\n | 49264*p\n | ibivibiv/math_instruct | |
Factor -2*p**3/11 + 34690*p**2/11 + 22157506*p/11 + 3475572414/11.\n | -2*(p - 17967)*(p + 311)**2/11\n | ibivibiv/math_instruct | |
Simplify a/(a/(a*a**(2/15)))*a*a**(1/2)*a*a**(2/9)*a**(1/3) assuming a is positive.\n | a**(377/90)\n | ibivibiv/math_instruct | |
Kimberly loves gumballs and will trade almost anything she owns for them. A friend knows that Kim has a bunch of shiny new earrings she loves and offers to trade Kim 9 gumballs for each pair. Additionally, her friend has a rare limited edition gumball worth 15 regular gumballs. This gumball requires trading 27 regular ... | Let's calculate the number of gumballs Kim gets each day:
On the first day, she brings 3 pairs of earrings and gets 9 gumballs for each pair. So, she gets 3 pairs * 9 gumballs/pair = 27 gumballs.
On the second day, she brings twice as many pairs of earrings as the first day, which is 3 pairs * 2 = 6 pairs. So, she ge... | ibivibiv/math_instruct |
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