instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let s = 0.3 - -7.9. Let c = s + -0.2. Let a = 8.1 - c. Is a at most as big as 5?\n | True\n | ibivibiv/math_instruct | |
Suppose 0 = m - 3*m + 10. Let v(y) = -2 + 4*y + 3*y - m*y - y. Give v(-3).\n | -5\n | ibivibiv/math_instruct | |
Let a(f) = -f + 5. Let v(d) = -d + 6. Let q(u) = -6*a(u) + 5*v(u). Let j(c) = -2*c - 2*c + 2*c. Give q(j(b)).\n | -2*b\n | ibivibiv/math_instruct | |
Do -7197/17443 and 0 have different values?\n | True\n | ibivibiv/math_instruct | |
Solve 76 = -15*r + 31 for r.\n | -3\n | ibivibiv/math_instruct | |
How many minutes are there between 6:38 PM and 7:55 PM?\n | 77\n | ibivibiv/math_instruct | |
Suppose 2*w**5/17 + 128*w**4/17 + 114*w**3 - 11708*w**2/17 - 250760*w/17 + 260400/17 = 0. Calculate w.\n | -31, -30, -14, 1, 10\n | ibivibiv/math_instruct | |
What is the nearest to -3 in 0.1, -1, 0.5, 3, 0.02344?\n | -1\n | ibivibiv/math_instruct | |
Let l(j) be the third derivative of j**6/180 + j**5/60 - j**4/6 + 3*j**2. Let o(s) be the second derivative of l(s). Differentiate o(y) wrt y.\n | 4\n | ibivibiv/math_instruct | |
Are 41008 and 41013 equal?\n | False\n | ibivibiv/math_instruct | |
What is the next term in 13, 16, 13, -2, -35?\n | -92\n | ibivibiv/math_instruct | |
How many minutes are there between 11:04 AM and 6:07 PM?\n | 423\n | ibivibiv/math_instruct | |
1176/(-441) + (-74)/(-21)\n | 6/7\n | ibivibiv/math_instruct | |
Let y(t) = t**3 - 25*t**2 + 27*t + 56. Let r be y(23). Let x = r - -1549/4. Factor 5/2*a + 1/4*a**2 + x.\n | (a + 5)**2/4\n | ibivibiv/math_instruct | |
Let g(y) = y**3 + y. Let b(k) = -22*k**3 - 6*k + 2. What is b(t) + 6*g(t)?\n | -16*t**3 + 2\n | ibivibiv/math_instruct | |
Simplify (t**0*(t*t**(-3))/t)/(t/(t/(t**(5/2)/t))*t**(-4)) assuming t is positive.\n | 1/sqrt(t)\n | ibivibiv/math_instruct | |
Let l(r) = r + 1. Let y(d) = 2*d + 8. Calculate 6*l(z) - y(z).\n | 4*z - 2\n | ibivibiv/math_instruct | |
If the Dow Jones Industrial Average fell 2% today and ended the day at 8,722, what was the Dow in the morning before the markets opened? | If the Dow Jones Industrial Average fell 2% today, that means it decreased by 2% of its value.
To find the value of the Dow in the morning before the markets opened, we need to find the original value before the 2% decrease.
Lets represent the original value as x.
If the Dow decreased by 2% of x, that means it decrease... | ibivibiv/math_instruct | |
Convert 74 (base 8) to base 11.\n | 55\n | ibivibiv/math_instruct | |
Let t = 39 + -34. Suppose -3*m = 2*h - 3*h + 130, 730 = t*h + 5*m. Suppose 4*g = -5*l + 100, -5*g + 35 = 4*l - 36. What is the remainder when h is divided by l?\n | 22\n | ibivibiv/math_instruct | |
Simplify (c**(1/2)/(((c/c**(-1/9)*c)/c*c*c)/c))/(c**(-2/23)*c*c*c**(1/11)*c) assuming c is positive.\n | c**(-21017/4554)\n | ibivibiv/math_instruct | |
Let n = -109 + 124. Suppose 3*z - 5*a + 14 = -0*z, 4*a = -5*z + 26. Solve -p + n = z*p for p.\n | 5\n | ibivibiv/math_instruct | |
What is the nearest to -4 in 7/8, 0.12, 1/5?\n | 0.12\n | ibivibiv/math_instruct | |
Let b = -53885/10898 - -2/49041. Let s be 1/(-2) + 6/(-12). What is the common denominator of b and (-755)/(-6)*s/(-5)?\n | 18\n | ibivibiv/math_instruct | |
Add -29909552058 and -0.6008.\n | -29909552058.6008\n | ibivibiv/math_instruct | |
Let a(o) = -4*o - 5. Let n(m) = -4 + 57*m - 34*m - 26*m. Calculate -4*a(k) + 5*n(k).\n | k\n | ibivibiv/math_instruct | |
b"What is the cth term of 54718, 109466, 164206, 218938, 273662, 328378, 383086?\n" | -4*c**2 + 54760*c - 38\n | ibivibiv/math_instruct | |
What is the millions digit of 187887057?\n | 7\n | ibivibiv/math_instruct | |
What is the next term in 855, 3557, 8051, 14337, 22415?\n | 32285\n | ibivibiv/math_instruct | |
Calculate -5 - (-7 + 2) - (4 + -2 + 2).\n | -4\n | ibivibiv/math_instruct | |
-3 + 34 - (-521 + 488)\n | 64\n | ibivibiv/math_instruct | |
Which is smaller: -2/5 or 0.1785?\n | -2/5\n | ibivibiv/math_instruct | |
Let s(w) = -w**2 - 6*w - 1. Let t be (-5)/(-45)*-2 + (-56)/(-9). Suppose 2*f + 0*f + t = 0. Give s(f).\n | 8\n | ibivibiv/math_instruct | |
Suppose 2*o - 5803 = -2081. Is o a prime number?\n | True\n | ibivibiv/math_instruct | |
Does 374 divide 933800582?\n | True\n | ibivibiv/math_instruct | |
What is 1/6 of a century in months?\n | 200\n | ibivibiv/math_instruct | |
Is 0 >= -2/6503693?\n | True\n | ibivibiv/math_instruct | |
Suppose 3*p - 2*p + 5*f + 17 = 0, 4*p = 3*f + 24. Suppose 0 = -0*n + p*n - 18. Suppose n*j + 0*j = 234. Is 4 a factor of j?\n | False\n | ibivibiv/math_instruct | |
Calculate (-1 + 3 - -3 - 2) + 1.\n | 4\n | ibivibiv/math_instruct | |
Express (-s**2 + 42 - 42)*(-4 + 2 + 3)*(3 - 5 + 1) as i*s + k + b*s**2 and give b.\n | 1\n | ibivibiv/math_instruct | |
Let c(t) = -5*t. Let r(q) = -2*q**2 + 4*q + 10. Let z be r(0). Let f(s) = 4003 - 4003 - z*s. What is 5*c(h) - 3*f(h)?\n | 5*h\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-2.2283 / -48.319) % (-64.3475 + 77.4211) | 0.0461 | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 12309160 and 10175.\n | 185\n | ibivibiv/math_instruct | |
Suppose -4*i + 0*i = 16, 0 = -2*l - 3*i - 2. Suppose l*w = -87 + 387. Let f = 15 - 3. What is the highest common divisor of f and w?\n | 12\n | ibivibiv/math_instruct | |
Suppose -2*i = -7*i - t + 465, -5*i + 3*t = -485. Suppose 5*r + 290 = g + i, -g + 2*r + 196 = 0. What are the prime factors of g?\n | 2, 7\n | ibivibiv/math_instruct | |
Suppose 23*t**3/5 - 204*t**2/5 - 27*t/5 = 0. What is t?\n | -3/23, 0, 9\n | ibivibiv/math_instruct | |
Let k(n) = 3*n**3 - n**2 + 3*n - 5. Let g(u) = 2*u**3 + u - 3. What is -5*g(v) + 3*k(v)?\n | -v**3 - 3*v**2 + 4*v\n | ibivibiv/math_instruct | |
Calculate the common denominator of -51/152701 and -13/3437.\n | 1068907\n | ibivibiv/math_instruct | |
What is 481 minutes before 4:30 PM?\n | 8:29 AM\n | ibivibiv/math_instruct | |
Solve 5*x - 35 = -5*u, u = -3*u + 2*x - 2 for u.\n | 2\n | ibivibiv/math_instruct | |
Express -20*y**3 - 2*y + y**2 + 19*y**3 - 17*y**2 as k*y**3 + n*y**2 + q*y + a and give k.\n | -1\n | ibivibiv/math_instruct | |
Let h = 3 - -2. Suppose -h*a = -239 + 64. Is a composite?\n | True\n | ibivibiv/math_instruct | |
In base 11, what is 5 - 3a22?\n | -3a18\n | ibivibiv/math_instruct | |
Let t(o) be the first derivative of -o**4/4 + 2*o**3 - 4*o**2 + 33*o + 81. Let h be t(5). Calculate the greatest common factor of 450 and h.\n | 18\n | ibivibiv/math_instruct | |
Product of 3264338 and -15.\n | -48965070\n | ibivibiv/math_instruct | |
Simplify -3 + -5 + (-3*2*sqrt(187) - 1*-2*sqrt(187))/(-5*sqrt(11)*1 + -5*(sqrt(11)*-1 + sqrt(11))).\n | -8 + 4*sqrt(17)/5\n | ibivibiv/math_instruct | |
Let q be 92/6 + (-2)/6. Let g be (1 - 27/q)*-5. Suppose -g*f + 57 = -f. Is f composite?\n | False\n | ibivibiv/math_instruct | |
What is the second derivative of 352*w**3 - 50*w**2 + 16*w - 232?\n | 2112*w - 100\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-81.4866 % 72.6351 | 63.7836 | ibivibiv/math_instruct | |
What are the prime factors of 1063260436?\n | 2, 7, 1877, 20231\n | ibivibiv/math_instruct | |
Find the third derivative of 3*g**3*i*s**4 - 4*g**3 + 9776*g**2*i*s + 2*g**2*i + 1991032*i*s**5 - 11*i*s**2 - 7*i*s wrt s.\n | 72*g**3*i*s + 119461920*i*s**2\n | ibivibiv/math_instruct | |
Is 72625976 < 72625974?\n | False\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-8.18 / -0.04 | 204.50 | ibivibiv/math_instruct | |
Let f(y) = -y**3 + 7*y**2 - 6*y - 6. Let g be f(6). Is 14 a factor of 1/(-2) + (-177)/g?\n | False\n | ibivibiv/math_instruct | |
Find the common denominator of -137/216 and -29/72.\n | 216\n | ibivibiv/math_instruct | |
Which is smaller: 57/485 or 1?\n | 57/485\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) 2/3 (b) 0 (c) 1/2 (d) -3/4 (e) 5/8 (f) -15\n | f\n | ibivibiv/math_instruct | |
Let u(a) = -34*a - 1. Let o be u(-1). Let q = -30 + o. Solve -q*n + 0 = 6 for n.\n | -2\n | ibivibiv/math_instruct | |
Let f be (6/(-10))/((-177)/(-59)). Which is the closest to f? (a) -0.3 (b) 1 (c) -1\n | a\n | ibivibiv/math_instruct | |
What is next in -8, -31, -68, -125, -208?\n | -323\n | ibivibiv/math_instruct | |
Calculate (5/65)/(360/780).\n | 1/6\n | ibivibiv/math_instruct | |
Sort -2408, -60, 2, -5, -4 in descending order.\n | 2, -4, -5, -60, -2408\n | ibivibiv/math_instruct | |
Suppose 25*u = 33*u + 24. Which is the closest to 0? (a) u (b) 0.4 (c) -6\n | b\n | ibivibiv/math_instruct | |
Simplify ((2 + 0 + -4*(sqrt(605) + -1))**2 - ((sqrt(55)/(sqrt(44) + sqrt(11)))**2 + sqrt(135)/sqrt(3) + (-1*(1 + sqrt(80)) - sqrt(80))**2))*-4.\n | -338200/9 + 2188*sqrt(5)\n | ibivibiv/math_instruct | |
Sum 0.0002 and -80.8.\n | -80.7998\n | ibivibiv/math_instruct | |
How many nanograms are there in 21/2 of a microgram?\n | 10500\n | ibivibiv/math_instruct | |
Let k(q) = 28*q**2 + 18*q + 40. Let t be k(-5). Suppose -20*r + 16*r - t = -3*d, -4*d + 854 = r. What is the tens digit of d?\n | 1\n | ibivibiv/math_instruct | |
Put -18, -5, 65421 in decreasing order.\n | 65421, -5, -18\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Should I Switch the Signs of a Variable Before Interaction?
If I have two regressors that should theoretically have opposite signed coefficients, should I switch the sign (i.e. multiply by -1) of one of the variables befor... | The question of whether to switch the signs of a variable before creating an interaction term is a common concern in statistical analysis, particularly in multiple linear regression. This issue arises because theoretical considerations suggest that certain predictors should have opposing effects on the outcome variabl... | ibivibiv/math_instruct | |
Solve 2 = -y, 6*y - 29 = 2*o - 47 for o.\n | 3\n | ibivibiv/math_instruct | |
Let l = -210 - -215. Let o(w) = -w + 6. Give o(l).\n | 1\n | ibivibiv/math_instruct | |
Let u(r) = 4 + 10*r - 4 + 0. Let m(j) = 11*j. What is m(u(w))?\n | 110*w\n | ibivibiv/math_instruct | |
Which is greater: -48054 or -48059?\n | -48054\n | ibivibiv/math_instruct | |
What are the prime factors of 882832491?\n | 3, 17, 5770147\n | ibivibiv/math_instruct | |
Round -11110.41 to the nearest 100.\n | -11100\n | ibivibiv/math_instruct | |
Find the common denominator of -103/126 and -74/15.\n | 630\n | ibivibiv/math_instruct | |
Factor 22/15*p + 8/15*p**2 - 2/15*p**3 + 4/5.\n | -2*(p - 6)*(p + 1)**2/15\n | ibivibiv/math_instruct | |
Find the common denominator of -11/144 and -11/28.\n | 1008\n | ibivibiv/math_instruct | |
Let f(y) be the first derivative of -y**2/2 - 46. Let s(u) = 3*u + 14. Determine f(s(x)).\n | -3*x - 14\n | ibivibiv/math_instruct | |
Let x = 68054/705 + 32/235. Suppose p + 0*v + 3*v + 106 = 0, 0 = -3*p - 5*v - 306. Let l = x + p. Which is the biggest value? (a) -2/3 (b) 0.2 (c) l (d) -5\n | b\n | ibivibiv/math_instruct | |
Suppose -o = -0*o - 79. Let x = -59 + o. What is the smallest common multiple of x and 42?\n | 420\n | ibivibiv/math_instruct | |
Let y(k) = -6*k - 5. Let t be y(-8). Suppose 4*h + q - t = -0*q, -5*h + 2*q + 44 = 0. Solve -j - h = 4*j for j.\n | -2\n | ibivibiv/math_instruct | |
What is z in 3*z**2/2 + 987693*z/2 - 20744199 = 0?\n | -329273, 42\n | ibivibiv/math_instruct | |
Is -6891091 greater than or equal to -6891093?\n | True\n | ibivibiv/math_instruct | |
Expand -2*s**5 - 2*s**5 + 3*s**5 + (4*s - 3*s**2 - 4*s)*(4 - 4 + 2*s**3).\n | -7*s**5\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Model fitting
## Fitting an EL object
The melt package provides several functions to construct an EL object or an object that inherits from EL:
• el_mean() for the mean.
• el_sd() for the standard deviation.
• el_lm() fo... | The `melt` package in R is a powerful tool for statistical modeling, providing functionalities to create Empirical Likelihood (EL) objects through various methods. These methods include estimation of means, standard deviations, linear regression models, and generalized linear regression models. Herein, you will learn ... | ibivibiv/math_instruct | |
Multiply -0.1072 and -0.5.\n | 0.0536\n | ibivibiv/math_instruct | |
Let u be (-2*1)/(105/(-9)) - 590/(-1475). Which is the second biggest value? (a) 2 (b) u (c) 10 (d) -0.2 (e) 67\n | c\n | ibivibiv/math_instruct | |
Is 87 a factor of 52102821?\n | True\n | ibivibiv/math_instruct | |
Factor 2/9 + 4/9*i - 2/9*i**4 - 4/9*i**3 + 0*i**2.\n | -2*(i - 1)*(i + 1)**3/9\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.