instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the ten millions digit of 54917697?\n | 5\n | ibivibiv/math_instruct | |
Suppose -b - f + 10 = 0, 0 = 4*b + 5*f + 26 - 71. Suppose 0 = -11*y + b*y + 2412. Let u = y + -279. What is u rounded to the nearest 10?\n | 120\n | ibivibiv/math_instruct | |
Solve 79*s - 108*s + 87 = 0 for s.\n | 3\n | ibivibiv/math_instruct | |
Calculate the common denominator of 55/32 and -71/7264.\n | 7264\n | ibivibiv/math_instruct | |
(-201)/670*(-4)/(-6)\n | -1/5\n | ibivibiv/math_instruct | |
Let -y**4 + 615*y**3 - 2433*y**2 - 6715*y - 3666 = 0. What is y?\n | -1, 6, 611\n | ibivibiv/math_instruct | |
What is the least common multiple of 1266 and 3165?\n | 6330\n | ibivibiv/math_instruct | |
Let w(z) = -7*z**2 + 137. Give w(-8).\n | -311\n | ibivibiv/math_instruct | |
Simplify z**(-8)/z**(-1/4)*(z**(9/4)*z)/(z*z*z**(-4)) assuming z is positive.\n | z**(-5/2)\n | ibivibiv/math_instruct | |
Let m(d) = 6*d - 27. Let b = -43 + 49. Calculate the lowest common multiple of 4 and m(b).\n | 36\n | ibivibiv/math_instruct | |
Sort -6, 16, 14 in increasing order.\n | -6, 14, 16\n | ibivibiv/math_instruct | |
Solve -428*f + 92*f - 4122 = 2716 - 118 for f.\n | -20\n | ibivibiv/math_instruct | |
What is the greatest common factor of 5159 and 151767?\n | 77\n | ibivibiv/math_instruct | |
Let t(l) = 26*l**3 + 7*l**2 - 2*l - 2. Let c(u) = -2*u**3 + u**2. Let w(q) = 6*c(q) - t(q). Let m be w(-1). What is the greatest common factor of m and 370?\n | 37\n | ibivibiv/math_instruct | |
Find the third derivative of u*v**3 - 16*u*v**2 + 129*u*v + 114*u + 27638801*v**3 wrt v.\n | 6*u + 165832806\n | ibivibiv/math_instruct | |
Find the first derivative of -25*n*s + 5*n + 3*s**2 + 9 wrt s.\n | -25*n + 6*s\n | ibivibiv/math_instruct | |
In base 11, what is -965 - 3?\n | -968\n | ibivibiv/math_instruct | |
Suppose -5*h + 5 = -0, -2*j - 5*h + 11 = 0. Let o = 5 + 1. Suppose j*s = 6 + o, 5*s = 4*y + 12. Is y prime?\n | True\n | ibivibiv/math_instruct | |
Let t be ((-1)/(-2))/((-2)/(-128)). Let z be t/14 + -2 + 0. Let k = 311/630 - -2/315. Which is the nearest to -1? (a) k (b) -1 (c) z\n | b\n | ibivibiv/math_instruct | |
Factor u**4/4 + 35*u**3/4 + 429*u**2/4 + 2057*u/4 + 1331/2.\n | (u + 2)*(u + 11)**3/4\n | ibivibiv/math_instruct | |
Suppose 0 = -5*h - 4*z + 38, 0 = -4*z + 18 - 10. What is the remainder when 122 is divided by h?\n | 2\n | ibivibiv/math_instruct | |
Solve 59*n = 33*n - 52 for n.\n | -2\n | ibivibiv/math_instruct | |
Expand (-5 + 1 + 0)*(-1 + 0 + 3)*(2 - 3 + 0)*(-2*r + 5*r**3 + 2*r)*(2 + 0 - 3).\n | -40*r**3\n | ibivibiv/math_instruct | |
Simplify q**3*q**(-2)*q*(q/q**(1/3))**43*(q*q/(q*q/q**(-1)*q)*q**(1/6)/q)**43 assuming q is positive.\n | q**(-547/6)\n | ibivibiv/math_instruct | |
What is the third root of 93 to the nearest integer?\n | 5\n | ibivibiv/math_instruct | |
What is the smallest value in 8/237, 1/6, -2120, 2/11?\n | -2120\n | ibivibiv/math_instruct | |
Let i(x) = 5*x**2 + 5 - 2*x - 5*x**2 - 3*x - 2*x**2. Let y(t) = -2*t**2 - 6*t + 6. What is -6*i(n) + 5*y(n)?\n | 2*n**2\n | ibivibiv/math_instruct | |
Let i(w) = -4*w**2 + 31*w + 385. Determine i(-9).\n | -218\n | ibivibiv/math_instruct | |
Let j(o) = o**2 - o - 1. Let s(x) = 6*x**2 - 8*x - 1. Let d be 1*(15/(-3))/1. Let y(g) = d*j(g) + s(g). Is y(5) prime?\n | False\n | ibivibiv/math_instruct | |
Solve 10*i = -5*k + 100, -191 = -3*k - 7*i - 119 for k.\n | -4\n | ibivibiv/math_instruct | |
How many millilitres are there in thirteen quarters of a litre?\n | 3250\n | ibivibiv/math_instruct | |
Let k(q) be the third derivative of q**8/4480 + q**7/560 - q**5/20 + q**4/2 - 23*q**2. Let u(d) be the second derivative of k(d). Solve u(t) = 0 for t.\n | -2, 1\n | ibivibiv/math_instruct | |
Let h be (-99)/(-4) + (-3)/(-12). Suppose 3*k + 2*k - h = 0. What is the greatest common divisor of 20 and k?\n | 5\n | ibivibiv/math_instruct | |
Expand (5*c**2 - 4*c**2 + 5*c**2)*(1 - 1 - 2) + (0*c - 2*c + 3*c)*(-2 + 2*c + 2).\n | -10*c**2\n | ibivibiv/math_instruct | |
What is 1.65569 - 49356306?\n | -49356304.34431\n | ibivibiv/math_instruct | |
Factor 127324*g**2 - 97148206*g - 4578.\n | 2*(g - 763)*(63662*g + 3)\n | ibivibiv/math_instruct | |
List the prime factors of 8577519059.\n | 8577519059\n | ibivibiv/math_instruct | |
Simplify (t*t/(t/t**(-6)*t)*t**(-4))/(t**1)**(1/11) assuming t is positive.\n | t**(-111/11)\n | ibivibiv/math_instruct | |
Which is smaller: -16871/48019 or -1?\n | -1\n | ibivibiv/math_instruct | |
Simplify (((sqrt(192) + 2)*3 + (sqrt(192) + -1)*4)*-2)**2.\n | 896*sqrt(3) + 37648\n | ibivibiv/math_instruct | |
Suppose -k - 49279 = -4*h, -21*h - k + 36954 = -18*h. Is h a composite number?\n | True\n | ibivibiv/math_instruct | |
Let n(g) = -9*g + 6. Let o be (-5)/((-50)/8) - (-72)/(-40). Let x be -24 + 3 + o - -1. List the prime factors of n(x).\n | 3, 5, 13\n | ibivibiv/math_instruct | |
Factor 2*f**2/19 - 7901916*f/19 + 7805034558882/19.\n | 2*(f - 1975479)**2/19\n | ibivibiv/math_instruct | |
What is three tenths of a kilometer in meters?\n | 300\n | ibivibiv/math_instruct | |
What is 8 (base 11) in base 7?\n | 11\n | ibivibiv/math_instruct | |
What is the billions digit of 1613236788?\n | 1\n | ibivibiv/math_instruct | |
What is the second derivative of 50628*x**4 + 3*x**3 + 10*x - 3108 wrt x?\n | 607536*x**2 + 18*x\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 15518526?\n | 1\n | ibivibiv/math_instruct | |
Suppose 0*p + p - 3 = 0. Let m = -0.96 + -0.34. Let g = m + 0.9. What is the second smallest value in 5, g, p?\n | p\n | ibivibiv/math_instruct | |
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 50 sq. feet, how many feet of fencing will be required? | To find the amount of fencing required, we need to determine the lengths of the three sides that need to be fenced.
We know that one side is 20 feet long (the uncovered side), and the area of the field is 50 square feet. Lets call the length of the other side (the width of the rectangle) \( w \).
The area \( A \) of ... | ibivibiv/math_instruct | |
Is 1454 a factor of 11669804?\n | True\n | ibivibiv/math_instruct | |
Suppose 0 = -6*g + 2*g. Suppose 5*p - 25 = g, -4*p + 330 = h - 2*p. What is h rounded to the nearest ten?\n | 320\n | ibivibiv/math_instruct | |
Let j = 272 + -217. What is the highest common divisor of 33 and j?\n | 11\n | ibivibiv/math_instruct | |
Solve -480 = 90*q - 122*q for q.\n | 15\n | ibivibiv/math_instruct | |
How many minutes are there between 1:36 AM and 12:04 PM?\n | 628\n | ibivibiv/math_instruct | |
Simplify (((sqrt(104)*1 + sqrt(104))*5 - sqrt(104)*-2*-4)/((sqrt(72) + 1*sqrt(72) + sqrt(72))/(4*sqrt(18)/sqrt(2))))**2.\n | 832/9\n | ibivibiv/math_instruct | |
Let p = 5990 - 5990.19932. What is p rounded to two decimal places?\n | -0.2\n | ibivibiv/math_instruct | |
Add 201 and -0.4544.\n | 200.5456\n | ibivibiv/math_instruct | |
Let o = 274 - 547/2. Let y(t) be the first derivative of -4 - 2*t + o*t**2. Calculate y(0).\n | -2\n | ibivibiv/math_instruct | |
John raises butterflies. He has 4 jars of 10 caterpillars each. 40% of them fail to become butterflies, but the rest become caterpillars. He sells the butterflies for $3 each. How much money does he make? | John has 4 jars with 10 caterpillars each, so he has a total of 4 * 10 = 40 caterpillars.
40% of the caterpillars fail to become butterflies, so 40% of 40 is 40 * 0.40 = 16 caterpillars fail.
The remaining caterpillars become butterflies, so he has 40 - 16 = 24 butterflies.
He sells each butterfly for $3, so he makes 2... | ibivibiv/math_instruct | |
Let c = 37 - 28. Let b = 52 + -26. Let o be 162/39 - 4/b. Does c = o?\n | False\n | ibivibiv/math_instruct | |
Differentiate 5*j**3*r**2 - 5*j**3*r + 24373*j**3 + 33*r wrt r.\n | 10*j**3*r - 5*j**3 + 33\n | ibivibiv/math_instruct | |
Factor 6*h**2 - 46568*h + 46562.\n | 2*(h - 1)*(3*h - 23281)\n | ibivibiv/math_instruct | |
Is 1353629 a composite number?\n | False\n | ibivibiv/math_instruct | |
Suppose -4*d + 604 = 5*k, 3*k - k + d - 244 = 0. Suppose -4*f - 20 = 0, -v - k = -4*v + 2*f. Calculate the greatest common factor of v and 133.\n | 19\n | ibivibiv/math_instruct | |
Let t be (-3 - -2)*(-7 - (-12 - -3)). Let q(u) = -2*u**2 - 1. Determine q(t).\n | -9\n | ibivibiv/math_instruct | |
Suppose 0 = -2*t + 3*u + 3, -t = -0*t - 2*u - 1. Suppose 2*m + 0*m - 2 = 0. Which is smaller: m or t?\n | m\n | ibivibiv/math_instruct | |
Which is the closest to 1? (a) 1/5 (b) 0.1 (c) -2/9 (d) -1/15\n | a\n | ibivibiv/math_instruct | |
List the prime factors of 21898376.\n | 2, 37, 167, 443\n | ibivibiv/math_instruct | |
Simplify (((m**(-3/2)/m*m)/m)/(m**(-2/9)*m*m))**(-37) assuming m is positive.\n | m**(2849/18)\n | ibivibiv/math_instruct | |
Are -35979/56978 and -1 equal?\n | False\n | ibivibiv/math_instruct | |
Expand (21*g + 0*g - 4*g)*(-39 - 9 - 51).\n | -1683*g\n | ibivibiv/math_instruct | |
Which is bigger: 1/3 or 254267?\n | 254267\n | ibivibiv/math_instruct | |
Let n be 15/(-30) + 5/(-2). Let d(k) = -k**2 - 5*k - 4. Let p be d(n). Let f(j) = 2 + 2*j - p - 7*j. Let w(x) = 2*x. Give w(f(q)).\n | -10*q\n | ibivibiv/math_instruct | |
List the prime factors of 132232394.\n | 2, 7, 2393, 3947\n | ibivibiv/math_instruct | |
Suppose 0 = 4*z - 3*a - 76 + 63, 11 = 4*z - 5*a. Suppose 19890 = y + 2*y. Let r be y/(4 + -9) - z. Round r to the nearest one thousand.\n | -1000\n | ibivibiv/math_instruct | |
Let r be (-170)/(-30) + 1 + 2/(-3). Let c be ((-28)/420)/(32/r). Does c = 0?\n | False\n | ibivibiv/math_instruct | |
What is (205/1845)/(((-22)/(-48))/11)*(-45)/(-48)?\n | 5/2\n | ibivibiv/math_instruct | |
Convert -156373 (base 9) to base 16.\n | -17919\n | ibivibiv/math_instruct | |
Simplify ((((f/(f/f**6))/f*f/(((f/(f**(-4)*f)*f)/f*f)/f))/((f/(f*f**(-1/2)*f*f*f*f))/f)**48)**(-23/2))**(-10/7) assuming f is positive.\n | f**(25070/7)\n | ibivibiv/math_instruct | |
Let p(i) = 7*i**3 + i**2 - 3. Let v(r) = -4*r**3 - 5*r**2. Let a(z) = -8 - 8 + 15 - 6*z**2 - 3*z**3. Let c(h) = 4*a(h) - 5*v(h). What is -5*c(x) + 6*p(x)?\n | 2*x**3 + x**2 + 2\n | ibivibiv/math_instruct | |
Let h be 4/14 - 69/21. Let r be (1 + h/(-1))*1. Let g(w) = -w**2 - 11*w + 13. Let z be g(-12). Solve m - r*k = 6, -3*m - z + 12 = -5*k for m.\n | 2\n | ibivibiv/math_instruct | |
How many minutes are there between 1:24 PM and 2:24 PM?\n | 60\n | ibivibiv/math_instruct | |
Put -1686, 574, -2 in decreasing order.\n | 574, -2, -1686\n | ibivibiv/math_instruct | |
Let q be (-1 + 3/(-2))/((-112)/(-14)). Is -1 < q?\n | True\n | ibivibiv/math_instruct | |
Let x be (30/(-4) - (11 + -18))*-98. What is the highest common divisor of x and 1?\n | 1\n | ibivibiv/math_instruct | |
(1/14)/(568/5680)\n | 5/7\n | ibivibiv/math_instruct | |
What is (208/((-65)/5))/1?\n | -16\n | ibivibiv/math_instruct | |
What is the seventh root of 1288 to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Simplify (-4 + (-5*(sqrt(288) + 1 - sqrt(288)) - (sqrt(288) - (sqrt(288) + -3*(sqrt(288) + 5) + sqrt(288)))))**2.\n | 1152*sqrt(2) + 1728\n | ibivibiv/math_instruct | |
Expand (3 + 3 - 2)*(3 + 1 - 6)*(3*s - 3*s + 2*s) + (4 - 4 - 2*s)*(-2 - 3 + 6).\n | -18*s\n | ibivibiv/math_instruct | |
What is the greatest common factor of 447799 and 1386?\n | 11\n | ibivibiv/math_instruct | |
Let x = 0.07 + 0.23. Let t = 0.038 + -3.038. Which is the second smallest value? (a) t (b) x (c) -5 (d) 0\n | a\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 z and 1 j when two letters picked without replacement from vnjzdbvnnnvj.\n | 1/33\n | ibivibiv/math_instruct | |
How many minutes are there between 8:00 PM and 12:37 AM?\n | 277\n | ibivibiv/math_instruct | |
Let p = 869/3991 - -4/307. Let v = -312 + 316. What is the closest to p in v, 3, -0.4?\n | -0.4\n | ibivibiv/math_instruct | |
Let n be 2/12*((-76)/8 - -5). Let p = 7 + -6. Let i = -22 + 20. Which is the third smallest value? (a) n (b) p (c) i\n | b\n | ibivibiv/math_instruct | |
Suppose 498632 = -65*v + 318155 + 4423027. What is the thousands digit of v?\n | 5\n | ibivibiv/math_instruct | |
Simplify ((-4*(sqrt(112) - sqrt(112)*2) + -4 + sqrt(112) + sqrt(112) + 1 + ((sqrt(112) + sqrt(112)*-1)*2 + sqrt(112) - (0 + 1*sqrt(112))))*-5 + -1)**2.\n | -3360*sqrt(7) + 100996\n | ibivibiv/math_instruct | |
Express -238 + 2*z - 460 + 1406 - 308 in the form f*z + v and give f.\n | 2\n | ibivibiv/math_instruct |
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