instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the closest to -0.1 in -69, -1/4, -0.04?\n | -0.04\n | ibivibiv/math_instruct | |
Simplify (((b*b*b**(5/7))/(b/(b/(b*b**(1/4)))*b))/((b/(b/(b/(b/(b/(b/b**(-3/5)*b*b)))))*b)/b**(-3/5)))**(-24) assuming b is positive.\n | b**(-246/7)\n | ibivibiv/math_instruct | |
Suppose 109*o = 170*o + 126*o - 118839061. Is o a composite number?\n | True\n | ibivibiv/math_instruct | |
Simplify (m/(m**(-6)/m))**21 assuming m is positive.\n | m**168\n | ibivibiv/math_instruct | |
Let c(a) = 4*a - 13. Let d be c(4). Suppose 2*v + 10 = d*w, 5*w + 0*v - 4*v = 16. Solve -4*i = 3*m - 4*m + 18, -w*i - 5*m = 30 for i.\n | -5\n | ibivibiv/math_instruct | |
List the prime factors of 5377457.\n | 17, 316321\n | ibivibiv/math_instruct | |
What comes next: -682, -1399, -2100, -2785, -3454, -4107, -4744?\n | -5365\n | ibivibiv/math_instruct | |
Let w = 4017 - -24369. What is the units digit of w?\n | 6\n | ibivibiv/math_instruct | |
Let y(f) = 26*f. Let b(a) = -203*a - 12. Let g(t) = -40608*t - 2397. Let h(i) = -799*b(i) + 4*g(i). What is -6*h(m) - 55*y(m)?\n | -20*m\n | ibivibiv/math_instruct | |
What is (28/126)/(80/36)?\n | 1/10\n | ibivibiv/math_instruct | |
What is 0.9916008ml in litres?\n | 0.0009916008\n | ibivibiv/math_instruct | |
Calculate -172 divided by -1044.\n | 43/261\n | ibivibiv/math_instruct | |
Let v(f) = f**3 - 5*f**2 + f - 9. Let j be v(5). Let a be (-264)/16*j/6. Suppose -a*m + 22688 = 3229. Is m composite?\n | True\n | ibivibiv/math_instruct | |
Let b(i) = i**2 + 10*i - 9. Let l be b(7). Let k = -1 + l. Which is bigger: k or 107?\n | k\n | ibivibiv/math_instruct | |
What is prob of sequence ffz when three letters picked without replacement from zzznfzfzfzznf?\n | 7/143\n | ibivibiv/math_instruct | |
Solve -660*c - 135 = -5*g - 664*c, 6*g + 1026 = 44*g - 2*c for g.\n | 27\n | ibivibiv/math_instruct | |
Calculate -205798 + 7.\n | -205791\n | ibivibiv/math_instruct | |
What is the hundreds digit of 1230475?\n | 4\n | ibivibiv/math_instruct | |
(7 + -4 + -5 - (-3 + 6)) + 5\n | 0\n | ibivibiv/math_instruct | |
Factor -3*b**3/7 + 436839*b**2/7 - 15902577744*b/7 + 15902140908/7.\n | -3*(b - 72806)**2*(b - 1)/7\n | ibivibiv/math_instruct | |
What is 68612.98858 rounded to the nearest ten thousand?\n | 70000\n | ibivibiv/math_instruct | |
What is the value of (-90)/(-14)*(-1160)/(-8700)?\n | 6/7\n | ibivibiv/math_instruct | |
Solve -553*l - 7508 - 14281 = 254*l for l.\n | -27\n | ibivibiv/math_instruct | |
Solve for x:
(2x+1)/(x-3) = (5x+2)/(x+2) | To solve the equation (2x+1)/(x-3) = (5x+2)/(x+2), we will first eliminate the fractions by cross-multiplying.
(2x + 1)(x + 2) = (5x + 2)(x - 3)
Now, we will expand both sides of the equation:
2x^2 + 4x + x + 2 = 5x^2 - 15x + 2x - 6
Combine like terms:
2x^2 + 5x + 2 = 5x^2 - 13x - 6
Now, move all terms to one sid... | ibivibiv/math_instruct | |
What is 0.1736 + -113.7288071401?\n | -113.5552071401\n | ibivibiv/math_instruct | |
Let r(h) = -7 + h**2 - 6*h + h**2 - 3*h**2 - 4*h. Let u be r(-9). What are the prime factors of -1 - u/2 - -14?\n | 2, 3\n | ibivibiv/math_instruct | |
((-8)/8)/(7/4*2)\n | -2/7\n | ibivibiv/math_instruct | |
How many minutes are there between 1:52 AM and 9:42 AM?\n | 470\n | ibivibiv/math_instruct | |
Let w = 116777380479 - 116777381424.00000409. Let p = -945 - w. Round p to 7 decimal places.\n | 0.0000041\n | ibivibiv/math_instruct | |
Factor 5*o**2 + 16572550*o + 33145080.\n | 5*(o + 2)*(o + 3314508)\n | ibivibiv/math_instruct | |
Suppose 3*w - 12 = -4*s, -3*s - 2*s = 5*w - 20. Suppose -64*t + 66*t + 12 = z, 0 = 2*z - 3*t - 20. Differentiate 5*c**z - 13 + 5 - w + 2*c**4 with respect to c.\n | 28*c**3\n | ibivibiv/math_instruct | |
What comes next: -1, 60, 173, 338?\n | 555\n | ibivibiv/math_instruct | |
In base 16, what is -6740a - -33?\n | -673d7\n | ibivibiv/math_instruct | |
Let j = 22 - -55. Is j prime?\n | False\n | ibivibiv/math_instruct | |
Express 3961*x**2 + x - 2 - 3845*x**2 - 3*x in the form c*x**2 + y*x + m and give m.\n | -2\n | ibivibiv/math_instruct | |
Simplify (f/f**1)**(7/10)/((f**(-1/3)*f)/(f**(-6)/f))*(f**1)**(-7)*f/(f**(2/7)/f)*f/(f*f**7*f) assuming f is positive.\n | f**(-440/21)\n | ibivibiv/math_instruct | |
What is the product of 84451 and -0.2?\n | -16890.2\n | ibivibiv/math_instruct | |
What is 353.40858 - 1092?\n | -738.59142\n | ibivibiv/math_instruct | |
Let g(x) = x**2 + 3*x - 4. Let t be g(-4). Let c be (t + 1)/((-2)/(-28)). Solve -3*m = 5*s - 40, 16 + c = 3*s + 3*m for s.\n | 5\n | ibivibiv/math_instruct | |
Let s = 32 + -89. Let z = s + 61. Let j(v) = -15*v. Let f be j(-1). Solve b - f = z*b for b.\n | -5\n | ibivibiv/math_instruct | |
Let j(k) = -2*k**2 - 192*k + 1763. Does 9 divide j(-99)?\n | False\n | ibivibiv/math_instruct | |
Suppose -2*m + 6 + 4 = -3*i, 5*m = -i + 8. Factor -4/3 + 4/3*f - 2/3*f**3 - 1/3*f**4 + f**m.\n | -(f - 1)**2*(f + 2)**2/3\n | ibivibiv/math_instruct | |
Suppose 2 = 8*i + 18. Let k be i/3 + 110/3. Suppose 26*t = 24*t + k. What is the remainder when 69 is divided by t?\n | 15\n | ibivibiv/math_instruct | |
How many minutes are there between 10:07 AM and 1:11 PM?\n | 184\n | ibivibiv/math_instruct | |
Suppose 142*r + 97200 = 167*r. Calculate the highest common factor of r and 48.\n | 48\n | ibivibiv/math_instruct | |
Solve 0 = -4*y + 12 - 0 for y.\n | 3\n | ibivibiv/math_instruct | |
1 + 2 + -1 - (-17 - -8)\n | 11\n | ibivibiv/math_instruct | |
What is the distance between -5 and -393.2197?\n | 388.2197\n | ibivibiv/math_instruct | |
Let j be -13*1098/(-195) + (-4)/(-5). Solve 20 = -j*h + 242 for h.\n | 3\n | ibivibiv/math_instruct | |
Simplify (v**(-1/4))**(-45)*(v/(v**(-3/7)*v))/(v**(-4)/v*v) assuming v is positive.\n | v**(439/28)\n | ibivibiv/math_instruct | |
What is prob of picking 4 y when four letters picked without replacement from {s: 4, a: 5, y: 5}?\n | 5/1001\n | ibivibiv/math_instruct | |
Solve 2052 + 3201 + 27 = 60*m for m.\n | 88\n | ibivibiv/math_instruct | |
Work out 1.6 * -0.208729.\n | -0.3339664\n | ibivibiv/math_instruct | |
Let c = -4 + 7. Let q(m) = m**3 + 8*m**2 - 11*m - 12. Let d(h) = -h**2 - h - 3. Let x be d(-3). Let f be q(x). Solve 0 = c*s + 4*y - 18, -y + f = 3*s - 3 for s.\n | 2\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 252 and 55413906.\n | 2327384052\n | ibivibiv/math_instruct | |
1706 (base 13) to base 3\n | 11122102\n | ibivibiv/math_instruct | |
Let s be 6*(3/(-2) + 2). Suppose 12 = s*c - c. Solve 4*n = c + 2 for n.\n | 2\n | ibivibiv/math_instruct | |
Multiply 0.2 and -41.43.\n | -8.286\n | ibivibiv/math_instruct | |
Collect the terms in -3 + 0 - 7 - 261*c + 264*c.\n | 3*c - 10\n | ibivibiv/math_instruct | |
Solve 1652 = -813*j + 754*j for j.\n | -28\n | ibivibiv/math_instruct | |
Simplify (((t*t**(-4)/t*t*t*t)**11)**(-3/2))**(-5) assuming t is positive.\n | t**(-165/2)\n | ibivibiv/math_instruct | |
-2080 times 1.1\n | -2288\n | ibivibiv/math_instruct | |
Rearrange 6901*i + 9740*i**2 - 6901*i + 2 - 2*i**2 - 2 + (-2*i + 0*i + 3*i)*(-i + i + i) to the form a*i + n*i**2 + p and give n.\n | 9739\n | ibivibiv/math_instruct | |
Let k(v) be the first derivative of -137/7*v**7 - 46/3*v**3 + 0*v**6 + 0*v**4 + 0*v**5 + 0*v + 61 + 0*v**2. Find the third derivative of k(f) wrt f.\n | -16440*f**3\n | ibivibiv/math_instruct | |
Expand (-2 + 2 - 3)*(19 + 60*x + 0 - 19) - 1 - x + 1.\n | -181*x\n | ibivibiv/math_instruct | |
List the prime factors of 24244119.\n | 3, 2693791\n | ibivibiv/math_instruct | |
Let n = -3857.5892 + 3857. Round n to two dps.\n | -0.59\n | ibivibiv/math_instruct | |
Rearrange 3*d**2 + 7*d**2 - 35*d**2 to z*d + y*d**2 + x and give y.\n | -25\n | ibivibiv/math_instruct | |
(1656/352 - 6) + (-3)/(-4)\n | -6/11\n | ibivibiv/math_instruct | |
Suppose 3*z + 3*a = 18, 0 = -4*z + 3*a - 0 - 4. Suppose -2*t = z*t + 3*o - 18, -o = -5*t + 13. Solve h = -t*h + 4 for h.\n | 1\n | ibivibiv/math_instruct | |
Let y(x) = -5*x + 3. Let m be y(-1). Let f = -5 + m. Solve -5*l = -13 + f for l.\n | 2\n | ibivibiv/math_instruct | |
Let r = 14964 - 14960. Put 40, -50, r in descending order.\n | 40, r, -50\n | ibivibiv/math_instruct | |
Suppose 0 = 346*u - 350*u. Let j(g) be the third derivative of 3/14*g**3 + 8*g**2 - 1/8*g**4 + 0*g - 1/280*g**6 + 1/28*g**5 + u. Find s such that j(s) = 0.\n | 1, 3\n | ibivibiv/math_instruct | |
11a7c1 (base 13) to base 9\n | 714422\n | ibivibiv/math_instruct | |
Calculate -0.1*1.1244.\n | -0.11244\n | ibivibiv/math_instruct | |
Convert 6.618083l to millilitres.\n | 6618.083\n | ibivibiv/math_instruct | |
What is 18/5 of a week in minutes?\n | 36288\n | ibivibiv/math_instruct | |
Let a(k) = 6*k**2 + 14*k + 73. Let j be -18*(3*-1 - 35/(-21)). Is a(j) composite?\n | True\n | ibivibiv/math_instruct | |
What are the prime factors of 12884277?\n | 3, 7, 127, 4831\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {g: 6, s: 7, f: 3, q: 3}. Give prob of picking 1 s and 2 q.\n | 7/323\n | ibivibiv/math_instruct | |
What is 0.11024088 rounded to 2 dps?\n | 0.11\n | ibivibiv/math_instruct | |
Let g(o) = -2369*o**3 - 10*o**2 + 15. Let k(p) = -1184*p**3 - 4*p**2 + 6. Calculate 4*g(s) - 10*k(s).\n | 2364*s**3\n | ibivibiv/math_instruct | |
Factor -42*t**3/11 - 6156*t**2 - 19344*t/11.\n | -6*t*(t + 1612)*(7*t + 2)/11\n | ibivibiv/math_instruct | |
Let n(z) = -15*z**2 - 2*z + 2*z. Let u(h) be the first derivative of h**2 - 12940. What is n(u(i))?\n | -60*i**2\n | ibivibiv/math_instruct | |
What is the nearest to 2/7 in -1, 3/8, 40?\n | 3/8\n | ibivibiv/math_instruct | |
Suppose -6*r - 109 + 109 = 0. Let u be (-4)/18 - (-76)/18. Suppose 0 = -u*a + 9 + 11. Solve r*i + a = i for i.\n | 5\n | ibivibiv/math_instruct | |
In base 15, what is -29e0 - -1a?\n | -29c5\n | ibivibiv/math_instruct | |
Let f = 28 - -13. Let d = f - 8. Suppose -3*w + 0*w = -d. What is the remainder when w is divided by 6?\n | 5\n | ibivibiv/math_instruct | |
Does 30 divide 19373790?\n | True\n | ibivibiv/math_instruct | |
What is 644 minutes after 3:12 PM?\n | 1:56 AM\n | ibivibiv/math_instruct | |
-1.3 times 4561\n | -5929.3\n | ibivibiv/math_instruct | |
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?
Answer Choices: (A) 10 (B) 5 (C) 8 (D) 6 (E) 11 Please write a program to solve it | answers = ['A', 'B', 'C', 'D', 'E']
# Lets denote the age of C as x. Then the age of B is 2x and the age of A is 2x + 2.
# The total age is 27, so we have the equation: x + 2x + 2x + 2 = 27
# Solving this equation gives us the age of B.
total_age = 27
x = (total_age - 2) / 5
age_b = 2 * x
options = [10, 5, 8, 6, 11]
in... | ibivibiv/math_instruct | |
Let l(q) = 0*q + 3*q**2 + 2*q**2 + q. Let p be l(-1). Suppose p*i + i - 5 = 0. Solve -1 = c + i for c.\n | -2\n | ibivibiv/math_instruct | |
Suppose 4*s + 2*y = -4 - 10, -3*s - y - 10 = 0. What is the second smallest value in 3, 5, s?\n | 3\n | ibivibiv/math_instruct | |
What are the prime factors of 2020?\n | 2, 5, 101\n | ibivibiv/math_instruct | |
In base 15, what is 9 - -1749b?\n | 174a5\n | ibivibiv/math_instruct | |
Find the common denominator of 53/156 and -83/1344.\n | 17472\n | ibivibiv/math_instruct | |
Differentiate -5*j**3*p**3 - 74*j**3*w - j*p*w + 2*j*w + 2*p**3*w with respect to p.\n | -15*j**3*p**2 - j*w + 6*p**2*w\n | ibivibiv/math_instruct | |
Let z(h) = -16*h + 17. Let t(f) = 32*f - 35. Let p(n) = 2*t(n) + 5*z(n). Is p(-7) prime?\n | True\n | ibivibiv/math_instruct | |
Two letters picked without replacement from ggguggggggggugug. What is prob of sequence ug?\n | 13/80\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.