instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let n(d) = 3*d. Let u(o) = -5*o**2 - o - 1. Let t(k) = 12*k**2 - 12*k - 12. Let a(i) = -5*t(i) + 60*u(i). Calculate n(a(l)).\n | -1080*l**2\n | ibivibiv/math_instruct | |
Let a = 59/17 + -821/119. Let m = -174 - -440. What is the common denominator of (-2)/(-4) + m/168 and a?\n | 84\n | ibivibiv/math_instruct | |
What is the square root of 465626535 to the nearest integer?\n | 21578\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 54690 and 30.\n | 30\n | ibivibiv/math_instruct | |
Suppose -l + 0*l + 3 = 0. Suppose 4*z - 4 = 4*u, -l*z + 3*u = -z. Is z a composite number?\n | False\n | ibivibiv/math_instruct | |
What is 6 + 1 - (12 - 4) - (-2 - 3)?\n | 4\n | ibivibiv/math_instruct | |
Let u = 1.6 - -105.4. Let z = u - -12. Let f = -119.4 + z. What is the third biggest value in 4, -5/23, f?\n | f\n | ibivibiv/math_instruct | |
Let q(g) = -55*g + 27. What is q(5)?\n | -248\n | ibivibiv/math_instruct | |
Find the common denominator of 9/2537 and -121/2282010.\n | 134638590\n | ibivibiv/math_instruct | |
Two letters picked without replacement from hwheeclwee. Give prob of picking 1 h and 1 w.\n | 4/45\n | ibivibiv/math_instruct | |
Calculate the remainder when 179 is divided by 20.\n | 19\n | ibivibiv/math_instruct | |
Suppose 126 = a + 4*g, 5*a = g + 193 + 416. What is the units digit of a?\n | 2\n | ibivibiv/math_instruct | |
What is (2/((-12)/11))/((-4)/(-216)*-9)?\n | 11\n | ibivibiv/math_instruct | |
Three letters picked without replacement from affupacpukcpcupfufup. Give prob of sequence afc.\n | 1/285\n | ibivibiv/math_instruct | |
9622 + 0.0304\n | 9622.0304\n | ibivibiv/math_instruct | |
What is the ninth root of 45187492 to the nearest integer?\n | 7\n | ibivibiv/math_instruct | |
Suppose -11*r = -6*r - 5. What is the remainder when 119 is divided by (-30)/16*-4*(r + 1)?\n | 14\n | ibivibiv/math_instruct | |
Let v(b) = 3*b + 7. Suppose 8*c + 20 = 13*c. Let q = 3 - -3. Let l(p) = -c + q + 0 + p. Determine -14*l(s) + 4*v(s).\n | -2*s\n | ibivibiv/math_instruct | |
Let z be ((-1)/(-4))/((-5)/(-40)). Solve 0 = v - z, 3*m + 3*v + 11 = 2 for m.\n | -5\n | ibivibiv/math_instruct | |
What is the second derivative of 509*n**2 + 642*n wrt n?\n | 1018\n | ibivibiv/math_instruct | |
Which is the third smallest value? (a) 77.8 (b) 2/5 (c) -4\n | a\n | ibivibiv/math_instruct | |
Evaluate (-23 - ((77 - 37) + 17)) + -30.\n | -110\n | ibivibiv/math_instruct | |
Solve 113*p = 602*p + 2445 for p.\n | -5\n | ibivibiv/math_instruct | |
313 (base 5) to base 4\n | 1103\n | ibivibiv/math_instruct | |
Product of 2072 and 5.\n | 10360\n | ibivibiv/math_instruct | |
Let k(b) = 6*b + 9. Suppose 4*h + 54 = -2*h. Let j(f) = -3*f - 4. Let d(p) = h*j(p) - 4*k(p). Let r(w) = -4 + 1 + 3 - 20*w + 8*w. Give r(d(g)).\n | -36*g\n | ibivibiv/math_instruct | |
Expand (0 + h + 0)*(-3*h**3 + 3 - 3 + (4*h - h - 2*h)*(1 - 1 - h**2) + 2*h**3 + 0*h**3 + h**3).\n | -h**4\n | ibivibiv/math_instruct | |
What is the third derivative of 74*p**2 - 522*p**2 + 136*p**2 - 177*p**3 + 34*p**2 wrt p?\n | -1062\n | ibivibiv/math_instruct | |
What is prob of picking 1 y and 1 j when two letters picked without replacement from {c: 1, j: 1, u: 1, s: 1, g: 1, y: 2}?\n | 2/21\n | ibivibiv/math_instruct | |
What is the hundreds digit of 6317?\n | 3\n | ibivibiv/math_instruct | |
Calculate the remainder when 37324 is divided by 4649.\n | 132\n | ibivibiv/math_instruct | |
Let v = 0 + 1. Let w = 134 - 98. Let j be 1*4 + w/27*-3. Solve 4*y + 3 + v = j for y.\n | -1\n | ibivibiv/math_instruct | |
Solve 32*y - 14*y = -144 for y.\n | -8\n | ibivibiv/math_instruct | |
What is the nearest to -1 in -0.3, 17, -1/5, 0.2?\n | -0.3\n | ibivibiv/math_instruct | |
Is 90 a factor of 288218276?\n | False\n | ibivibiv/math_instruct | |
Convert -6160 (base 13) to base 9.\n | -20371\n | ibivibiv/math_instruct | |
Collect the terms in 2641*y**3 - 12326*y**3 - 1109*y**3.\n | -10794*y**3\n | ibivibiv/math_instruct | |
Let l = -16 - -28. Let r be l/(-105) + 2/5. Let p = -0.66 + 0.16. Which is the closest to r? (a) p (b) -5 (c) -2/5\n | c\n | ibivibiv/math_instruct | |
Simplify (j**(-1/10)*j**6)/(j*j**(-5)/j*j*j**(-5)/j) assuming j is positive.\n | j**(159/10)\n | ibivibiv/math_instruct | |
Is 111277.2 not equal to 1?\n | True\n | ibivibiv/math_instruct | |
Rearrange (2 + 0 - 1)*(-6 - 3 + 2)*(2*i - i + 0*i) + 229 - 167 - 269 + 16*i + (4*i - 4*i + 2*i)*(0 + 4 - 2) to o*i + f and give o.\n | 13\n | ibivibiv/math_instruct | |
Suppose 18*l = -11640 + 125994. Is l composite?\n | False\n | ibivibiv/math_instruct | |
Let z(l) = -l**2 - 9*l + 3. Suppose 27 = 75*w - 78*w. Let a be z(w). Suppose -5*u + 11 = -3*c, -2*u = -7*u - 4*c - a. Solve -n - u = 1 for n.\n | -2\n | ibivibiv/math_instruct | |
Let h = 2345/11 - 213. What is the second smallest value in 3, -2, h?\n | h\n | ibivibiv/math_instruct | |
Solve 1 - 1 = 20*r for r.\n | 0\n | ibivibiv/math_instruct | |
Let i(d) = -9*d**2 + 2*d + 1. Let k be i(-1). Let x = k - -17. Let l = 35 - 34. Calculate the least common multiple of x and l.\n | 7\n | ibivibiv/math_instruct | |
What are the prime factors of (2/(13 + -17))/(1/(-82088))?\n | 2, 31, 331\n | ibivibiv/math_instruct | |
What is 1.131901443 less than -187690?\n | -187691.131901443\n | ibivibiv/math_instruct | |
Is 15 a factor of 23324985?\n | True\n | ibivibiv/math_instruct | |
Suppose 0 = 3*x - 2*t - 14, -x - x + t = -8. Suppose 4*z = 3*w + 380, 35 = x*z + 3*w - 155. Let k = z - 91. Solve 0 = h + c - 2*c - 5, -3*h + 20 = -k*c for h.\n | 0\n | ibivibiv/math_instruct | |
Suppose 5*k + 15 = a - 2, -k - 13 = -5*a. Is (-3 + 3 - a) + (438 - 4) a multiple of 36?\n | True\n | ibivibiv/math_instruct | |
Solve 0*d + j - 8 = -d, 0 = -5*d + 2*j + 19 for d.\n | 5\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 6500740 and 688.\n | 172\n | ibivibiv/math_instruct | |
Let l(j) = 3*j. Let k(b) = -34*b**2 - 22. Suppose 0 = c + 6*c - 21. Let r(m) = -7*m**2 - 4. Let a(g) = c*k(g) - 16*r(g). What is l(a(s))?\n | 30*s**2 - 6\n | ibivibiv/math_instruct | |
Which is the closest to -3/10? (a) -1/5 (b) 0.055 (c) -7.7 (d) -1/19 (e) -4 (f) 2/13\n | a\n | ibivibiv/math_instruct | |
What is the next term in 2468, 2466, 2462, 2456, 2448, 2438, 2426?\n | 2412\n | ibivibiv/math_instruct | |
Two letters picked without replacement from yyd. Give prob of sequence yy.\n | 1/3\n | ibivibiv/math_instruct | |
In base 10, what is 5 + 20?\n | 25\n | ibivibiv/math_instruct | |
Let u = 3 - -16. Let c = 16 + -31. Let a = u - c. Calculate the remainder when a is divided by 9.\n | 7\n | ibivibiv/math_instruct | |
-3 + (-2 - -13) - 11\n | -3\n | ibivibiv/math_instruct | |
What is m in m**5 + 10*m**4 - 39*m**3 = 0?\n | -13, 0, 3\n | ibivibiv/math_instruct | |
Let f = -13 + 8. Let g = 48 + -44. Which is the biggest value? (a) g (b) 5 (c) f\n | b\n | ibivibiv/math_instruct | |
Let z(l) = l**3 - 6*l**2 + 6*l + 1. Let b be z(5). Suppose b*d = 2*d + 12. Find the common denominator of (-2)/32*(d - -52) and 107/18.\n | 144\n | ibivibiv/math_instruct | |
Is 23789 a prime number?\n | True\n | ibivibiv/math_instruct | |
Let h(q) = 86*q**3 + 7*q**2 - 4*q + 7. Let y(u) = 29*u**3 + 2*u**2 - u + 2. Let f = 27092 - 27099. Determine f*y(g) + 2*h(g).\n | -31*g**3 - g\n | ibivibiv/math_instruct | |
What is 1b05375 (base 12) in base 14?\n | a9305b\n | ibivibiv/math_instruct | |
Let p = 84 - 89. What is the fourth biggest value in 0.2, 2/7, p, 0.4?\n | p\n | ibivibiv/math_instruct | |
What is the closest to -2 in 4/11, -0.2, -26, 2153/4?\n | -0.2\n | ibivibiv/math_instruct | |
Let k(q) = -4*q**2 - 5*q - 1. Let r(i) = -3*i**2 - 6*i - 1. Let u(d) = -2*k(d) + 3*r(d). Suppose 19 = 2*f - f. What is the remainder when f is divided by u(-6)?\n | 8\n | ibivibiv/math_instruct | |
Let g = -46.7 + 48.7. Which is the third biggest value? (a) 4/5 (b) g (c) 63 (d) 1\n | d\n | ibivibiv/math_instruct | |
Let s = -74771.937 + 74630. Let v = 339 - 197. Let n = s + v. What is n rounded to 2 dps?\n | 0.06\n | ibivibiv/math_instruct | |
What is 0.1599987839 rounded to two dps?\n | 0.16\n | ibivibiv/math_instruct | |
Factor 5*b**2/2 + 14497925*b/2.\n | 5*b*(b + 2899585)/2\n | ibivibiv/math_instruct | |
Is -20991/8 equal to -2623?\n | False\n | ibivibiv/math_instruct | |
882 divided by 2195\n | 882/2195\n | ibivibiv/math_instruct | |
18/8 - (-2)/(-8) - 501/167\n | -1\n | ibivibiv/math_instruct | |
Let i be 1/(-3)*-3 - -1. Let u(c) = -c - 7. Let l be u(-7). Suppose i*z - 4 = -l*z. Solve f = -z*f for f.\n | 0\n | ibivibiv/math_instruct | |
b"What is the uth term of -3192, -13222, -29882, -53172?\n" | -3315*u**2 - 85*u + 208\n | ibivibiv/math_instruct | |
What is 310a1 (base 12) in base 5?\n | 4022212\n | ibivibiv/math_instruct | |
Solve -5*l = -4*l + 2*k + 2*k + 5, 2*k - 9*k = 0 for l.\n | -5\n | ibivibiv/math_instruct | |
What comes next: 110225, 440910, 992021, 1763534, 2755425, 3967670, 5400245?\n | 7053126\n | ibivibiv/math_instruct | |
Let t(u) be the third derivative of -u**8/60480 - u**7/7560 - u**6/2160 - 7*u**5/60 - 4*u**2. Let w(j) be the third derivative of t(j). Factor w(d).\n | -(d + 1)**2/3\n | ibivibiv/math_instruct | |
What is 679 minutes before 2:00 AM?\n | 2:41 PM\n | ibivibiv/math_instruct | |
Let o be (3 - (-7734)/(-2574))/(16/6 - 4). Which is the fourth biggest value? (a) 2/9 (b) -4 (c) 0.04 (d) o\n | b\n | ibivibiv/math_instruct | |
What comes next: 8652, 8680, 8732, 8814, 8932, 9092?\n | 9300\n | ibivibiv/math_instruct | |
Let v(x) = -x**2 - 10*x + 2. Let a be v(-8). Let m be 58/a + 4/(-18). List the prime factors of 20 - (m + 0 + -1).\n | 2, 3\n | ibivibiv/math_instruct | |
Does 13 divide 23773074?\n | True\n | ibivibiv/math_instruct | |
What is 4144/555 + -3 - 16/20*1?\n | 11/3\n | ibivibiv/math_instruct | |
Let u(y) = y**3 + 3*y**2 - 7*y - 8. Calculate u(-6).\n | -74\n | ibivibiv/math_instruct | |
Solve 2350*s - 2365*s = 180 for s.\n | -12\n | ibivibiv/math_instruct | |
What is the third smallest value in -1.2, 13/4, 100?\n | 100\n | ibivibiv/math_instruct | |
b"What is the fth term of -3024, -3022, -3020, -3018?\n" | 2*f - 3026\n | ibivibiv/math_instruct | |
Sort 9295, 6, 447.\n | 6, 447, 9295\n | ibivibiv/math_instruct | |
What is the value of (0 - -3 - -23) + -31 + 11?\n | 6\n | ibivibiv/math_instruct | |
In base 6, what is 212 - 220344155?\n | -220343543\n | ibivibiv/math_instruct | |
Is 7447590 a multiple of 104?\n | False\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"What's the name of this random number generation algorithm?
I'm looking for the name of an RNG method or algorithm, described below. Combining multiple results of a non-uniform random number generator can produce a more unif... | Random Number Generation (RNG) is a fundamental concept in computer science, mathematics, and statistics, which has wide applications ranging from cryptography, simulations, to gambling industries. The primary goal of any RNG is to generate unpredictable sequences of numbers that are difficult to distinguish from true... | ibivibiv/math_instruct | |
Let c be (4 - 0) + -4 + -5. Let o be c/((-5)/3) + 5. Sort 2, o, -5.\n | -5, 2, o\n | ibivibiv/math_instruct | |
Four letters picked without replacement from nucunudnknncuui. What is prob of sequence iucn?\n | 5/3276\n | ibivibiv/math_instruct | |
Simplify (((g*g**(1/3)*g)**36*(g/(g**(-1/5)/g))**(-4/9))**(-6/13))**(33/5) assuming g is positive.\n | g**(-82192/325)\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.