instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let p = 47201 + -17195. What is the hundreds digit of p?\n | 0\n | ibivibiv/math_instruct | |
Let u = -97963/98910 + -96/1099. Find the common denominator of 89/495 and u.\n | 990\n | ibivibiv/math_instruct | |
Which is the nearest to 0.1? (a) 2 (b) 0.4 (c) 0.06 (d) 10\n | c\n | ibivibiv/math_instruct | |
Sort -2, -5, -6 in ascending order.\n | -6, -5, -2\n | ibivibiv/math_instruct | |
What is -4 divided by -2002?\n | 2/1001\n | ibivibiv/math_instruct | |
What is the closest to 0.3 in 5, -0.2, 199?\n | -0.2\n | ibivibiv/math_instruct | |
What is the least common multiple of 73821 and 55?\n | 369105\n | ibivibiv/math_instruct | |
Suppose 0 = 2*v - 8, 2*w = -5*v + 48 - 34. Let h = -0.5 - 1.5. Which is the nearest to w? (a) 2/5 (b) 2 (c) h\n | c\n | ibivibiv/math_instruct | |
What is next in 206, 409, 614, 821, 1030?\n | 1241\n | ibivibiv/math_instruct | |
Rearrange -7 - 2161*j**2 - 57 + 64 to a + p*j**2 + o*j and give p.\n | -2161\n | ibivibiv/math_instruct | |
Let p(n) = 555*n. Let l(c) = 15*c. Suppose k + k = -5*d + 387, 5*d - 5*k = 345. Determine d*l(w) - 2*p(w).\n | 15*w\n | ibivibiv/math_instruct | |
Let g(c) = 21*c**3 - 6*c**2 - 126*c + 576. Let a(u) = 150*u**3 - 40*u**2 - 883*u + 4032. Let n(f) = -6*a(f) + 43*g(f). Factor n(o).\n | 3*(o - 8)*(o - 4)*(o + 6)\n | ibivibiv/math_instruct | |
Let n = -4.6818913 + -0.0391287. Let o = 4.73 + n. Round o to 3 decimal places.\n | 0.009\n | ibivibiv/math_instruct | |
Let l be 2/(-4)*-4 + -1. Let q be (4/(8/(-6)))/l. Does 8 divide (-49)/q + 2/(-6)?\n | True\n | ibivibiv/math_instruct | |
Suppose 5*b - 2636 = -5*w + 9374, -2*w = -5*b - 4790. Suppose -4*t = -8*t + w. Round t to the nearest 1000.\n | 1000\n | ibivibiv/math_instruct | |
What is the third root of 45 to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
Is 1080029 a prime number?\n | True\n | ibivibiv/math_instruct | |
Let m(r) = r - 3. Let o be m(6). Let n be (-2 - -5)*(-2)/3. Let j be n/(-12) - 2/(-36). Sort o, 0.2, j in descending order.\n | o, j, 0.2\n | ibivibiv/math_instruct | |
What is prob of picking 2 y when two letters picked without replacement from {d: 13, y: 3}?\n | 1/40\n | ibivibiv/math_instruct | |
Round 153530960 to the nearest one million.\n | 154000000\n | ibivibiv/math_instruct | |
Let m = 0.22 + 0.18. Let n = 19.4 - 23.4. What is the nearest to n in -3, 1/3, m?\n | -3\n | ibivibiv/math_instruct | |
Let p be (8/20)/((-1)/(-10)). Solve -n + 2*o = -p, -3*o + 2*o - 2 = -2*n for n.\n | 0\n | ibivibiv/math_instruct | |
Let s(b) = -6*b. Let l(q) = 2433*q**2 - 1224*q**2 - 1216*q**2. Determine l(s(h)).\n | -252*h**2\n | ibivibiv/math_instruct | |
What is the hundreds digit of 160?\n | 1\n | ibivibiv/math_instruct | |
Expand (2*y + 0*y - 4*y)*(-1 - 2*y**2 + 1)*(5*y**2 - 6*y**2 + 6*y**2).\n | 20*y**5\n | ibivibiv/math_instruct | |
Let o(q) = q**2 - 3*q - 2. List the prime factors of o(-5).\n | 2, 19\n | ibivibiv/math_instruct | |
Expand (-3*i + i - i)*(147*i + 151*i - 301*i + 2*i**3).\n | -6*i**4 + 9*i**2\n | ibivibiv/math_instruct | |
Simplify (2*((3 + -4*(sqrt(245) + -1))*1 + -3))**2.\n | -896*sqrt(5) + 15744\n | ibivibiv/math_instruct | |
Let k(v) be the second derivative of 71*v**6/30 + v**5/10 - 103*v**4/12 + 11*v. Find the third derivative of k(r) wrt r.\n | 1704*r + 12\n | ibivibiv/math_instruct | |
Let r(p) = -8*p - 118. Calculate the remainder when 89 is divided by r(-17).\n | 17\n | ibivibiv/math_instruct | |
Let m(x) be the second derivative of 5*x**3/3 + 33*x + 6. Let p(v) be the first derivative of -4*v**3/3 - 1. Determine m(p(h)).\n | -40*h**2\n | ibivibiv/math_instruct | |
What is the millions digit of 177151330?\n | 7\n | ibivibiv/math_instruct | |
What is the thousands digit of 54169?\n | 4\n | ibivibiv/math_instruct | |
Is 1 less than -4/8221773?\n | False\n | ibivibiv/math_instruct | |
b"What is the cth term of 3411348, 6822693, 10234038?\n" | 3411345*c + 3\n | ibivibiv/math_instruct | |
Let y = -92808/119 + 780. What is the third biggest value in 2, 0.3, y?\n | y\n | ibivibiv/math_instruct | |
Solve 793*m + 301 + 2553 = -318 for m.\n | -4\n | ibivibiv/math_instruct | |
What is the value of (-2 - -1) + 7 + (-2)/6*69?\n | -17\n | ibivibiv/math_instruct | |
Let o be (-12*(-24)/180)/((-2)/(-10)). Suppose o*d = 15*d - 4417. List the prime factors of d.\n | 631\n | ibivibiv/math_instruct | |
Collect the terms in -6*s**3 - 24*s + 0*s**2 + 2*s**2 + 27*s.\n | -6*s**3 + 2*s**2 + 3*s\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 24 and 10.\n | 120\n | ibivibiv/math_instruct | |
Let q(a) = -a**2 + 4*a + 29. Let z be q(7). Let k = z - -12. List the prime factors of k.\n | 2, 5\n | ibivibiv/math_instruct | |
Let n(d) = -10*d**2 - 421*d + 137. Determine n(-42).\n | 179\n | ibivibiv/math_instruct | |
Solve 26*o - 21*o + 48 = 2*z, -3*o = 24 for z.\n | 4\n | ibivibiv/math_instruct | |
Convert 0.2782172 nanoseconds to seconds.\n | 0.0000000002782172\n | ibivibiv/math_instruct | |
Simplify (k**(-2/9)/k**(5/6)*k**(-1/5)*k/k**(-2/3))/(((k**0/k*k)/(k/k**(1/2)*k))/((k*k/k**(-2))/(k/(k**(1/3)/k)))) assuming k is positive.\n | k**(191/45)\n | ibivibiv/math_instruct | |
Calculate prob of sequence ddd when three letters picked without replacement from ssssddsssddssssd.\n | 1/56\n | ibivibiv/math_instruct | |
List the prime factors of 16118273.\n | 37, 367, 1187\n | ibivibiv/math_instruct | |
Suppose 1 = 4*l - 3*l. Suppose -x = l - 4. Suppose 10 = o - 3*o, -x*o - 12 = 3*k. What is the units digit of k?\n | 1\n | ibivibiv/math_instruct | |
What is 9067857 to the power of 1/8, to the nearest integer?\n | 7\n | ibivibiv/math_instruct | |
Let h be (-6)/(-4)*24/9. Suppose -4*p + h = -0*p - j, -5*p + 5*j = 10. Suppose -5*g - r = r - 14, -5*g = -5*r. What is the remainder when g is divided by p?\n | 0\n | ibivibiv/math_instruct | |
Let d = 1 - -1. Let c = -2 + d. Solve -25 = -x - 5*f, -3*x + c*f + 23 = 2*f for x.\n | 5\n | ibivibiv/math_instruct | |
Calculate the remainder when 1812 is divided by 130.\n | 122\n | ibivibiv/math_instruct | |
Let o(d) = -d - 2. Suppose b = -0*t + 4*t + 11, 7 = b - 2*t. What is o(b)?\n | -5\n | ibivibiv/math_instruct | |
Sum -161.52139061 and -5.\n | -166.52139061\n | ibivibiv/math_instruct | |
What is 0.19 less than 0.10359112?\n | -0.08640888\n | ibivibiv/math_instruct | |
What is ((-4)/8)/((-30)/72)?\n | 6/5\n | ibivibiv/math_instruct | |
Simplify (((g*g**(5/7)/g*g*g*g)/(g**20/g))/((g*g**25)/((g**(27/2)*g*g)/g*g)))**(-2) assuming g is positive.\n | g**(361/7)\n | ibivibiv/math_instruct | |
What is the square root of 14782 to the nearest integer?\n | 122\n | ibivibiv/math_instruct | |
How many milligrams are there in sixty-four fifths of a gram?\n | 12800\n | ibivibiv/math_instruct | |
Let d(k) = -12*k**2 - 232*k + 469. Give d(2).\n | -43\n | ibivibiv/math_instruct | |
Put 29029, 3, 1/9, -0.5, -1, 1/10 in descending order.\n | 29029, 3, 1/9, 1/10, -0.5, -1\n | ibivibiv/math_instruct | |
Solve -t + 10484*x + 4 - 23 = 10481*x, 4*x = t + 24 for t.\n | -4\n | ibivibiv/math_instruct | |
What is the units digit of 1802?\n | 2\n | ibivibiv/math_instruct | |
How many tonnes are there in 114002.7 nanograms?\n | 0.0000000001140027\n | ibivibiv/math_instruct | |
Calculate 1192 divided by -23234.\n | -596/11617\n | ibivibiv/math_instruct | |
Let d = -2.701 - 0.351. Let h = 1723 - 1722.948. Let o = d + h. Which is the smallest value? (a) o (b) 0 (c) 0.4\n | a\n | ibivibiv/math_instruct | |
What is the fourth root of 48863179 to the nearest integer?\n | 84\n | ibivibiv/math_instruct | |
Solve -23 = -5*s + m, 1592*s - 23 = 1589*s - 4*m for s.\n | 5\n | ibivibiv/math_instruct | |
What is the closest to 7 in 3/5, 1, 2/3?\n | 1\n | ibivibiv/math_instruct | |
Let c be (-2)/3 + (-8)/(-3). Suppose 5*i - 33 = -2*k, -5*i - 5 + 18 = -3*k. Let f = c - i. Sort f, -4, 0 in increasing order.\n | -4, f, 0\n | ibivibiv/math_instruct | |
Is 33572250409 composite?\n | False\n | ibivibiv/math_instruct | |
Suppose 5*g + 0 = 15. Find the second derivative of 4*b**4 + 5*b + 2*b**4 - 4*b - g*b**4 wrt b.\n | 36*b**2\n | ibivibiv/math_instruct | |
Solve r - 5 = b, -2*b - 3*b + 15 = 3*r for b.\n | 0\n | ibivibiv/math_instruct | |
What is the value of 1 + -5 - -18 - (4 - -2)?\n | 8\n | ibivibiv/math_instruct | |
What is -9 times 0.07?\n | -0.63\n | ibivibiv/math_instruct | |
Simplify (-4 + sqrt(1377)*3 + -5 + 1*(-3 + sqrt(1377) + 0) + -1)**2 + 4.\n | -936*sqrt(17) + 22205\n | ibivibiv/math_instruct | |
Suppose f + 2 = 0, -2*i + 8*f - 3*f = -16. Solve -5 = 4*z + i*r, 0 = -r + 1 + 4 for z.\n | -5\n | ibivibiv/math_instruct | |
Put -7, -9, 9 in descending order.\n | 9, -7, -9\n | ibivibiv/math_instruct | |
List the prime factors of 175915.\n | 5, 151, 233\n | ibivibiv/math_instruct | |
Suppose -r + 5*c + 0 - 4 = 0, 0 = 3*r + 5*c + 12. Is (-6)/r*(2 - 0) a multiple of 2?\n | False\n | ibivibiv/math_instruct | |
Suppose there are 1000 students in a school, and we know that the probability of a student getting an A in Mathematics is 0.3, and the probability of a student getting an A in Science is 0.2. What is the probability that a student chosen at random will get an A in both Mathematics and Science? | To find the probability of a student getting an A in both Mathematics and Science, we need to multiply the individual probabilities together, assuming that the events are independent (i.e., getting an A in Mathematics does not affect the probability of getting an A in Science).
Probability of getting an A in both subj... | ibivibiv/math_instruct | |
Collect the terms in 2742*i**2 - 5491*i**2 + 42425*i**3 - 42429*i**3 + 2749*i**2.\n | -4*i**3\n | ibivibiv/math_instruct | |
What is the next term in 112199218, 112199219, 112199220, 112199221, 112199222?\n | 112199223\n | ibivibiv/math_instruct | |
Determine x, given that x**2/3 - 8*x + 80/3 = 0.\n | 4, 20\n | ibivibiv/math_instruct | |
Let s be (48/272)/((-9)/816*-8). Let n = 0.8 + 0.2. Which is the closest to s? (a) -0.4 (b) n (c) -3\n | b\n | ibivibiv/math_instruct | |
What is the value of -23 - (12/60)/(106/(-11395))?\n | -3/2\n | ibivibiv/math_instruct | |
Let d(f) = 5*f**2. Let v be (9/(-6))/((-3)/8). Let z(p) = -v*p + p + 4*p. Determine z(d(r)).\n | 5*r**2\n | ibivibiv/math_instruct | |
Let b(s) = -s + 1. Let g(o) = -28*o**2 + 250*o - 1. Let r(q) = b(q) + g(q). Find the second derivative of r(l) wrt l.\n | -56\n | ibivibiv/math_instruct | |
Let t(k) = 226*k**2 - 35*k - 71. Calculate the remainder when t(-2) is divided by 57.\n | 48\n | ibivibiv/math_instruct | |
Let d(s) = s**3 + 5*s**2 - 18*s - 23. Give d(-7).\n | 5\n | ibivibiv/math_instruct | |
Suppose -126*j + 131*j = -4*d + 248781, 2*j + 5*d - 99492 = 0. What is the tens digit of j?\n | 6\n | ibivibiv/math_instruct | |
What is 101479609 to the power of 1/6, to the nearest integer?\n | 22\n | ibivibiv/math_instruct | |
What is m in m**5/2 + 13*m**4/2 + 3*m**3/2 - 117*m**2/2 - 54*m = 0?\n | -12, -3, -1, 0, 3\n | ibivibiv/math_instruct | |
What is the third smallest value in 1, 2/11, -0.2, -17565?\n | 2/11\n | ibivibiv/math_instruct | |
What is the hundreds digit of 32101419?\n | 4\n | ibivibiv/math_instruct | |
What is prob of sequence go when two letters picked without replacement from nunuffgofnff?\n | 1/132\n | ibivibiv/math_instruct | |
What is the smallest value in -2/9, 12/211, 1?\n | -2/9\n | ibivibiv/math_instruct | |
List the prime factors of 22894.\n | 2, 11447\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) 1/11 (b) -12/23 (c) -4/7 (d) 3\n | d\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.