instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Solve -940*q + 944*q = 8 for q.\n | 2\n | ibivibiv/math_instruct | |
How many nanograms are there in 5.50291 micrograms?\n | 5502.91\n | ibivibiv/math_instruct | |
Calculate -3 + -4 + (-1988)/(-308).\n | -6/11\n | ibivibiv/math_instruct | |
Suppose -14 = 5*m - 6*m. What is the lowest common multiple of m and 2?\n | 14\n | ibivibiv/math_instruct | |
Let -5*f**4/4 + 375*f**3/4 + 11645*f**2 - 72975*f = 0. What is f?\n | -70, 0, 6, 139\n | ibivibiv/math_instruct | |
What are the prime factors of 6178?\n | 2, 3089\n | ibivibiv/math_instruct | |
Which is the second biggest value? (a) 3 (b) -1/6 (c) -10/31 (d) 1615\n | a\n | ibivibiv/math_instruct | |
(100/15)/(-2)*3/2\n | -5\n | ibivibiv/math_instruct | |
What is 115 minutes before 5:07 AM?\n | 3:12 AM\n | ibivibiv/math_instruct | |
What is the hundreds digit of 3985?\n | 9\n | ibivibiv/math_instruct | |
Let l(f) = -348*f**3 - 54*f**2 - 110*f - 5. Let k be l(-2). Calculate the greatest common factor of k and 69.\n | 23\n | ibivibiv/math_instruct | |
An optometrist charges $150 per pair for soft contact lenses and $85 per pair for hard contact lenses. Last week she sold some pairs of soft lenses and hard lenses. Her total sales for pairs of contact lenses last week were $1,455, and she sold a total of 11 pairs. How many more pairs of soft lenses did she sell than h... | Lets denote the number of pairs of soft lenses sold as S and the number of pairs of hard lenses sold as H.
We have two equations based on the information given:
1) The total cost of lenses sold:
150S + 85H = 1455
2) The total number of pairs sold:
S + H = 11
We need to find the values of S and H that satisfy both ... | ibivibiv/math_instruct | |
Solve -18*b + 11*b - 17 = 10*b for b.\n | -1\n | ibivibiv/math_instruct | |
Solve -3*t - 4*y + 39 = 0, 0 = t + 2*y + 28 - 45 for t.\n | 5\n | ibivibiv/math_instruct | |
Solve -11*s + 0 + 80 = 4*x - 3*s - 6*s, 9*s + 57 + 45 = 3*x for x.\n | 22\n | ibivibiv/math_instruct | |
Let m(j) = -j + 1. Let k(r) = 26*r + 8. Let x(q) = -k(q) + 4*m(q). Let i be x(-1). Let f = i - -57. What is the units digit of f?\n | 3\n | ibivibiv/math_instruct | |
Let v = 3.5399 - 3.332. Round v to 2 dps.\n | 0.21\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 222237 and 15012.\n | 27\n | ibivibiv/math_instruct | |
Sort -1/3, -1, -30 in ascending order.\n | -30, -1, -1/3\n | ibivibiv/math_instruct | |
Let k(t) = -2*t**2. Let f(j) = 24*j. Let q(g) = -11*g. Suppose 5*d - 4*l - 27 = -0*l, -l = -d + 6. Let v(z) = d*f(z) + 5*q(z). Determine k(v(o)).\n | -578*o**2\n | ibivibiv/math_instruct | |
(2 - -5) + -3 + 0 - 3\n | 1\n | ibivibiv/math_instruct | |
Is 333336 a multiple of 344?\n | True\n | ibivibiv/math_instruct | |
Solve -4*x - 2007*g = -2005*g + 2, 3*g - 7 - 14 = 2*x for x.\n | -3\n | ibivibiv/math_instruct | |
Let a(g) be the second derivative of -g**4/12 + 7*g**3/3 + g**2 + 7*g. What is the remainder when 4 is divided by a(14)?\n | 0\n | ibivibiv/math_instruct | |
Solve -8*c - 296 = 8*c + 21*c for c.\n | -8\n | ibivibiv/math_instruct | |
Suppose 3*o - 6 = -0*v - 3*v, -v - 3*o = -10. Let j = v - -2. Suppose j*l + 2524 = 4*l. Is l a composite number?\n | False\n | ibivibiv/math_instruct | |
Convert 620165.1 seconds to microseconds.\n | 620165100000\n | ibivibiv/math_instruct | |
Collect the terms in 175*g**2 - 1 - 122*g - 421*g - 92*g**2 - 91*g**2.\n | -8*g**2 - 543*g - 1\n | ibivibiv/math_instruct | |
What is the ten millions digit of 26338421?\n | 2\n | ibivibiv/math_instruct | |
Simplify (((j**(-2/3)*(j**0/j)/j)**(-2/3))**(6/7))**(2/9) assuming j is positive.\n | j**(64/189)\n | ibivibiv/math_instruct | |
What is 35 + (-12 - (-11 + (6 - (-15 - -4 - -8))))?\n | 25\n | ibivibiv/math_instruct | |
Let p = 2600.2 + -2622.2. Let y = 0.6 + -1. Put p, 2, 1/6, y in decreasing order.\n | 2, 1/6, y, p\n | ibivibiv/math_instruct | |
Simplify (sqrt(44) + sqrt(132)/sqrt(3) - (1 + sqrt(11) + 5 - sqrt(11)))**2.\n | -48*sqrt(11) + 212\n | ibivibiv/math_instruct | |
What is 91 minutes before 2:16 PM?\n | 12:45 PM\n | ibivibiv/math_instruct | |
What is 528 minutes after 11:04 PM?\n | 7:52 AM\n | ibivibiv/math_instruct | |
Calculate (((-84)/(-9))/(-7))/(1016/11430).\n | -15\n | ibivibiv/math_instruct | |
Differentiate 60337*g*i**3 - 10*g*i + 238*g + 2*i**3 - 822*i**2 - 1054*i - 1 with respect to g.\n | 60337*i**3 - 10*i + 238\n | ibivibiv/math_instruct | |
Simplify ((n**(-8)/n*n**(-15))/(((n*n**(6/7)/n)/n)/(n/(n**(-16/3)*n))))**(-2/81) assuming n is positive.\n | n**(778/1701)\n | ibivibiv/math_instruct | |
Let k = 9 - -2. Let m = -3 + k. Calculate the smallest common multiple of m and 8/((-40)/25)*-1.\n | 40\n | ibivibiv/math_instruct | |
(-11)/(-15) + (-276)/460\n | 2/15\n | ibivibiv/math_instruct | |
Let x(j) = j**3 - j**2 - 10*j + 714. Calculate the remainder when x(0) is divided by 54.\n | 12\n | ibivibiv/math_instruct | |
Expand (-1 + z**3 + 1)*(-46*z - 2*z - 9*z).\n | -57*z**4\n | ibivibiv/math_instruct | |
Let o = 38 + -9. Suppose 4*q + 1 = o. Let g = -2 - -7. Solve q*c - g = 2*c for c.\n | 1\n | ibivibiv/math_instruct | |
Suppose i - 270 = 74. Let v = 402 - i. Does 29 divide v?\n | True\n | ibivibiv/math_instruct | |
In base 6, what is -21145 - 3?\n | -21152\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {f: 5, a: 1, p: 7, h: 5}. What is prob of sequence ah?\n | 5/306\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) 1 (b) -0.1 (c) 3 (d) 31 (e) 1/10 (f) -10 (g) -0.064\n | f\n | ibivibiv/math_instruct | |
Solve 224*n + 2083 = -381 for n.\n | -11\n | ibivibiv/math_instruct | |
Let k = -8 - -13. Suppose -25 = k*j, -5*g = -2*g + 3*j - 117. What are the prime factors of g?\n | 2, 11\n | ibivibiv/math_instruct | |
Factor -z**4/3 + 784*z**3/3 - 150496*z**2/3 - 413952*z - 836352.\n | -(z - 396)**2*(z + 4)**2/3\n | ibivibiv/math_instruct | |
Let c = 74.8 + -75.233. Let n = 0.025 + c. Round n to 2 decimal places.\n | -0.41\n | ibivibiv/math_instruct | |
Calculate the remainder when 16193 is divided by 5.\n | 3\n | ibivibiv/math_instruct | |
Is 1188251328 a multiple of 7013?\n | False\n | ibivibiv/math_instruct | |
Does -18202917 = -18202917?\n | True\n | ibivibiv/math_instruct | |
Suppose -5*o + 26 = 4*i, 0 = o - 4*i - 14 + 4. Let c = o + 0. Solve c = -2*g + 14 for g.\n | 4\n | ibivibiv/math_instruct | |
Let z(l) = 2*l + 2*l**2 - l**2 - 2*l**2 - 1. Let x be (50/125)/(2/50). Suppose 0 = 3*w + 5*r - 22, -2*w + 3*r = -3*w + x. What is z(w)?\n | -9\n | ibivibiv/math_instruct | |
Factor -2*h**2/3 - 18298*h/3 - 7249220/3.\n | -2*(h + 415)*(h + 8734)/3\n | ibivibiv/math_instruct | |
Solve -a**2 - 36293*a + 36294 = 0 for a.\n | -36294, 1\n | ibivibiv/math_instruct | |
Let r = 2.9 + -1.1. Let q = -1.7 + r. Sort 0.2, 5, -0.4, q in ascending order.\n | -0.4, q, 0.2, 5\n | ibivibiv/math_instruct | |
Let x(g) = g - 18. Let z be x(20). Let c be ((-3)/(-2))/((-1)/(-2)). Let -z*l**2 - 15/2*l**c + 9/2*l - 1 = 0. Calculate l.\n | -1, 1/3, 2/5\n | ibivibiv/math_instruct | |
What is the greatest common factor of 328 and 8?\n | 8\n | ibivibiv/math_instruct | |
Let c(t) be the third derivative of -t**4/12 - 19*t**2. Let m(k) = 13*k**2. Determine c(m(o)).\n | -26*o**2\n | ibivibiv/math_instruct | |
What is (6/(-140))/(420/350)*6/2?\n | -3/28\n | ibivibiv/math_instruct | |
Solve -b - 28 = 5*d, -2*d + 22*b + 32 = 20*b for d.\n | -2\n | ibivibiv/math_instruct | |
Find d such that 2*d**3 + 67750*d**2 + 49182534*d + 9023934114 = 0.\n | -33137, -369\n | ibivibiv/math_instruct | |
Factor -52*b**5 + 209*b**4 - 4*b**3.\n | -b**3*(b - 4)*(52*b - 1)\n | ibivibiv/math_instruct | |
Which is bigger: -2108 or -0.4882?\n | -0.4882\n | ibivibiv/math_instruct | |
Express 1 - 2 + 388*r**4 - 7*r**2 - 387*r**4 - 17*r**2 - 3*r**2 - 3*r in the form t + c*r + k*r**2 + q*r**4 + v*r**3 and give k.\n | -27\n | ibivibiv/math_instruct | |
Let v = -0.43 - -5.43. Which is the biggest value? (a) -3 (b) -8/13 (c) v\n | c\n | ibivibiv/math_instruct | |
How many minutes are there between 11:14 PM and 1:05 AM?\n | 111\n | ibivibiv/math_instruct | |
Let i(s) be the third derivative of -3*s**5/70 - 85*s**4/84 + 16*s**3 - 10*s**2 + 446*s. Factor i(c).\n | -2*(c - 3)*(9*c + 112)/7\n | ibivibiv/math_instruct | |
Let k = -26 - -26. Let q be (k*1/(-2))/(0 + -1). Solve -25 = -q*h - 5*h for h.\n | 5\n | ibivibiv/math_instruct | |
Let h be -43 + 5811 + (1 - -3). What is the highest common factor of h and 36?\n | 12\n | ibivibiv/math_instruct | |
Let s = -94.7 + 95.7. What is the third smallest value in 51, s, -4?\n | 51\n | ibivibiv/math_instruct | |
Find g such that -4*g**5/7 - 2628*g**4/7 + 329284*g**3/7 - 921612*g**2/7 - 5109120*g/7 - 550800 = 0.\n | -765, -2, -1, 6, 105\n | ibivibiv/math_instruct | |
Let o be (1*850)/(899990/(-100000) - -9). Round o to the nearest one million.\n | 9000000\n | ibivibiv/math_instruct | |
Let j(z) = -2*z**2 - 8*z - 5. Give j(-5).\n | -15\n | ibivibiv/math_instruct | |
Let h be 45/(-21) - -2 - 1026/(-126). Put 9, h, 5, 1 in ascending order.\n | 1, 5, h, 9\n | ibivibiv/math_instruct | |
Let x(c) = -2*c**2. Suppose 10 = -2*q, 0*a - 2*a + 29 = -5*q. Let y(h) = -h**a + 2 + 5 - 7. Determine x(y(t)).\n | -2*t**4\n | ibivibiv/math_instruct | |
What is the value of 1/(-5) + (616/(-240))/(-77)?\n | -1/6\n | ibivibiv/math_instruct | |
Is 1105.647 bigger than -1?\n | True\n | ibivibiv/math_instruct | |
Let o = -129668 + 129669. Let y(c) = -4*c + 4. Let i be y(-8). Solve -35*f + i*f = -o for f.\n | -1\n | ibivibiv/math_instruct | |
What is the smallest value in -9, 94/5, -1, -3, -3/4?\n | -9\n | ibivibiv/math_instruct | |
Suppose -c = -3*h + 2*c + 102, h = -5*c + 34. Solve -2*t = u - 1, 5*u - 5*t = -6 - h for u.\n | -5\n | ibivibiv/math_instruct | |
(924/(-490))/((-2 + (-72)/(-30))/(3 + -1))\n | -66/7\n | ibivibiv/math_instruct | |
Convert 64300 (base 8) to base 10.\n | 26816\n | ibivibiv/math_instruct | |
Let r(h) = -4*h**3 - 12*h**2 - 11*h + 26. Is r(-7) composite?\n | False\n | ibivibiv/math_instruct | |
What is next in -3, -29, -71, -129, -203, -293?\n | -399\n | ibivibiv/math_instruct | |
Suppose 4*i - w - 20 = -0, 2*i = -4*w + 10. Let g = -9 + i. What is the units digit of g*1*(-5)/4?\n | 5\n | ibivibiv/math_instruct | |
What is the smallest common multiple of 8242 and 65936?\n | 65936\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {i: 4, c: 2, w: 4, n: 8, f: 1}. Give prob of picking 2 c.\n | 1/171\n | ibivibiv/math_instruct | |
-12 divided by 692776\n | -3/173194\n | ibivibiv/math_instruct | |
Expand (20 - 22 + 15)*(2 + 4 - 4)*(-224*f**3 + 224*f**3 + 14*f**5).\n | 364*f**5\n | ibivibiv/math_instruct | |
Studying for her test, Mitchell had read ten chapters of a book before 4 o'clock. When it clocked 4, Mitchell had read x pages of the 11th chapter of the book she was studying from. After 4 o'clock, she didnt read the remaining pages of chapter eleven but proceeded and read 2 more chapters of the book. If each chapter ... | We know that Mitchell had read ten chapters of the book before 4 o'clock, which means she had read 10 * 40 = 400 pages.
At 4 o'clock, Mitchell had read x pages of the 11th chapter.
After 4 o'clock, she read 2 more chapters, which means she read 2 * 40 = 80 pages.
The total number of pages Mitchell had read is the sum o... | ibivibiv/math_instruct | |
Expand (4*i**2 + 33 - 2*i**2 - 59)*(4*i - i - 2*i).\n | 2*i**3 - 26*i\n | ibivibiv/math_instruct | |
Suppose 18 = 4*u + 5*w - 0*w, -5*u - 4*w + 18 = 0. Suppose u*r - 13 = 15. Calculate the remainder when r is divided by 6.\n | 2\n | ibivibiv/math_instruct | |
Is 1227189473 prime?\n | True\n | ibivibiv/math_instruct | |
What is 3 times -8.541?\n | -25.623\n | ibivibiv/math_instruct | |
Let o(j) = j**3 - 3*j**3 + 5*j**3 - 8*j**3 + 1. Let k be o(-1). Suppose -k = -3*n + 21. Does 9 divide n?\n | True\n | ibivibiv/math_instruct | |
Which is the nearest to 177? (a) 2 (b) -3 (c) 3\n | c\n | ibivibiv/math_instruct |
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