instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
In base 8, what is 0 - -440563?\n | 440563\n | ibivibiv/math_instruct | |
Let j(f) = -2*f**3 + 4*f**2 - f - 2. Give j(2).\n | -4\n | ibivibiv/math_instruct | |
Simplify ((h/(h/h**5*h))/(h*h**(-4)))/(h**(-1/4))**(8/7) assuming h is positive.\n | h**(51/7)\n | ibivibiv/math_instruct | |
Find the common denominator of -58/27083 and 48/511.\n | 27083\n | ibivibiv/math_instruct | |
Expand (-4*g**3 + 4*g**3 + 2*g**3 + 0*g**3 - 4*g**3 + 0*g**3 + g**3 - 3*g**3 + 4*g**3 + (0*g + g**2 + 0*g)*(0*g + 6*g - 2*g))*(-6 + 2 - 6).\n | -40*g**3\n | ibivibiv/math_instruct | |
What is 2053002095 to the power of 1/7, to the nearest integer?\n | 21\n | ibivibiv/math_instruct | |
What is the highest common factor of 38110 and 10?\n | 10\n | ibivibiv/math_instruct | |
What are the prime factors of 122849?\n | 122849\n | ibivibiv/math_instruct | |
Suppose -q + 83 + 9 = 0. What is the units digit of q?\n | 2\n | ibivibiv/math_instruct | |
Suppose 95*v - 577 + 862 = 0. What is the smallest value in v, 35, 30?\n | v\n | ibivibiv/math_instruct | |
Suppose 0 = 3*v + 2*v - 340. Suppose -o - v = -3*o. Is o a composite number?\n | True\n | ibivibiv/math_instruct | |
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"QUESTION
A researcher collected sample data for 16 women ages 18 to 24 . The sample had a mean serum cholesterol level (measured in mg/100 mL) of 190.4, with...
A researcher collected sample data for 16 women ages 18 to 24 ... | To understand how to calculate a confidence interval for the mean serum cholesterol level of women aged 18 to 24, it's essential first to grasp some fundamental statistical concepts. These include the sampling distribution of means, the Central Limit Theorem, and the formula for constructing a confidence interval arou... | ibivibiv/math_instruct | |
The midpoint of a line segment is located at $(1, -2)$. If one of the endpoints is $(4, 5)$, what is the other endpoint? Express your answer as an ordered pair. | The $x$-coordinate and $y$-coordinate of the midpoint are the averages of the $x$-coordinates and $y$-coordinates of the endpoints, respectively. Since $4-3=1$, the $x$-coordinate of the other endpoint is $1-3=-2$. Since $5-7=-2$, the $y$-coordinate of the other endpoint is $-2-7=-9$. Therefore, the endpoints are $(... | ibivibiv/math_instruct | |
Simplify (0 + (sqrt(19) + -1)**2)*1.\n | -2*sqrt(19) + 20\n | ibivibiv/math_instruct | |
What is the value of ((-12)/(-40))/((-9)/(-6))?\n | 1/5\n | ibivibiv/math_instruct | |
Let o(b) = 5*b**2 - 3*b + 3. Let p(t) = -27 + 5*t - 4*t**2 - 5*t**2 + 22. Let h(g) = 5*o(g) + 3*p(g). Let m(z) = 6*z**2. Give m(h(i)).\n | 24*i**4\n | ibivibiv/math_instruct | |
Let b = 26 + -30. What is the third biggest value in 0.1, -0.4, 1, b?\n | -0.4\n | ibivibiv/math_instruct | |
Solve 2*t + 4 = h, -28 = 5*t - 0*h + 2*h for t.\n | -4\n | ibivibiv/math_instruct | |
What is the closest to 2/45 in -0.26, 0, -2, -2/5, 2?\n | 0\n | ibivibiv/math_instruct | |
Let b(z) = -12*z**2. Let t(a) = 6*a. Give b(t(w)).\n | -432*w**2\n | ibivibiv/math_instruct | |
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"# Selina Concise Mathematics Class 8 ICSE Solutions Chapter 10 Direct and Inverse Variations
## Selina Concise Mathematics Class 8 ICSE Solutions Chapter 10 Direct and Inverse Variations
Selina Publishers Concise Mathematic... | Direct and inverse variations are fundamental concepts in mathematics that describe relationships between two variables. These concepts are typically introduced in middle school and built upon in high school algebra courses. Understanding direct and inverse variation is crucial for solving problems involving ratios, p... | ibivibiv/math_instruct | |
0.4*-153\n | -61.2\n | ibivibiv/math_instruct | |
Solve 25*t + 3608 = -14*t - 20*t - 23*t for t.\n | -44\n | ibivibiv/math_instruct | |
Let n = 245 + -161. What are the prime factors of n?\n | 2, 3, 7\n | ibivibiv/math_instruct | |
Solve 18*d - 2*d = 80 for d.\n | 5\n | ibivibiv/math_instruct | |
Suppose -4*k = 5*v - 3 - 40, 0 = v - 2*k - 3. Solve 18*w = v*w + 33 for w.\n | 3\n | ibivibiv/math_instruct | |
What is the highest common divisor of 90 and 31815?\n | 45\n | ibivibiv/math_instruct | |
What is the tens digit of 134218?\n | 1\n | ibivibiv/math_instruct | |
Let l(n) = n**2 + 4*n + 1. Let s be l(-4). Suppose -8 - 7 = -3*q. Solve -4*v - s = -q for v.\n | 1\n | ibivibiv/math_instruct | |
Let t = 703 - 337. Suppose -33*w + t = -30*w. Suppose w = 21*x - 19*x. What is the tens digit of x?\n | 6\n | ibivibiv/math_instruct | |
Let r be (28/16)/(-1)*4. Let c(i) = -2*i + 14. Let b(k) = -3*k + 13. Let l(h) = -3*b(h) + 4*c(h). Calculate the remainder when 28 is divided by l(r).\n | 8\n | ibivibiv/math_instruct | |
Expand (2 - 1 + 1)*(-k**2 - 5*k**2 + 4*k**2)*(4*k + 3*k - 11*k) - k + 2*k**3 + k + 182*k**3 - 91*k**3 - 94*k**3 - 7*k**2 - 2.\n | 15*k**3 - 7*k**2 - 2\n | ibivibiv/math_instruct | |
What is the value of (1890/(-2646))/((-1)/35)?\n | 25\n | ibivibiv/math_instruct | |
b"What is the sth term of -2553, -10161, -22853, -40629, -63489?\n" | -2542*s**2 + 18*s - 29\n | ibivibiv/math_instruct | |
Let k = 20 - 18. Suppose 4*i = k*s + i + 6, 5*i = 10. Solve -2 = -2*l - s, 1 = w + 3*l for w.\n | -2\n | ibivibiv/math_instruct | |
Let s be 6/(-232)*(-10)/(-6). Let h = 1474852 - 513247061/348. Let i = h - s. What is the common denominator of i and 52/7?\n | 42\n | ibivibiv/math_instruct | |
Sort -2/9, -1, 0.4, 2/13.\n | -1, -2/9, 2/13, 0.4\n | ibivibiv/math_instruct | |
Let l = 1394 + -203. What are the prime factors of l?\n | 3, 397\n | ibivibiv/math_instruct | |
Determine k, given that -36*k**3/11 + 30*k**2/11 + 6*k/11 = 0.\n | -1/6, 0, 1\n | ibivibiv/math_instruct | |
Let l(p) = -p**3 - 8*p**2 - p - 8. Let u be l(-8). Solve -8 = 4*o - u*o for o.\n | -2\n | ibivibiv/math_instruct | |
Is 6139582151 prime?\n | True\n | ibivibiv/math_instruct | |
Suppose -21 = 4*w - 9. Suppose t - z = 6*t + 19, -5 = -t + 2*z. Is t smaller than w?\n | False\n | ibivibiv/math_instruct | |
Differentiate 22227268*t + 27475841 with respect to t.\n | 22227268\n | ibivibiv/math_instruct | |
In base 10, what is 2150 + -996?\n | 1154\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 13890890 and 3250.\n | 130\n | ibivibiv/math_instruct | |
Let m(g) = 62*g**3 + 7*g**2 - 18*g - 61*g**3 - 7 + 16*g. Let b(h) = -h**2 + 2*h - 4. Let q be b(3). Calculate the smallest common multiple of 3 and m(q).\n | 21\n | ibivibiv/math_instruct | |
Let p(v) = -5*v - 8. Let a(j) = 3*j + 44 + 50 - 89. Let i(s) = s**3 - s**2 - 4*s - 1. Let y = 2 + 1. Let q be i(y). Determine q*p(c) + 8*a(c).\n | -c\n | ibivibiv/math_instruct | |
What is the square root of 3233387076 to the nearest integer?\n | 56863\n | ibivibiv/math_instruct | |
Let f = 9782/33 + -892/3. Calculate the common denominator of -37/6 and f.\n | 66\n | ibivibiv/math_instruct | |
Is 560702/781 at least as big as 718?\n | False\n | ibivibiv/math_instruct | |
-2 (base 5) to base 6\n | -2\n | ibivibiv/math_instruct | |
Let d be -24 + (-6)/((-48)/(-56)). Sort 0, d, -3, 1 in decreasing order.\n | 1, 0, -3, d\n | ibivibiv/math_instruct | |
What is 0.05004762 rounded to 5 decimal places?\n | 0.05005\n | ibivibiv/math_instruct | |
What is the product of 1.6 and -11439?\n | -18302.4\n | ibivibiv/math_instruct | |
What are the prime factors of 3429223?\n | 7, 17, 28817\n | ibivibiv/math_instruct | |
Let s(d) be the third derivative of -d**6/120 + 2*d**5/15 - 7*d**4/24 + 5*d**3/3 - 2*d**2. Calculate the least common multiple of s(7) and 2.\n | 10\n | ibivibiv/math_instruct | |
Is 9805729 a composite number?\n | True\n | ibivibiv/math_instruct | |
Let t = 94 + -91. Which is the second biggest value? (a) -0.2 (b) -2/3 (c) t\n | a\n | ibivibiv/math_instruct | |
Expand (-23*h**2 + 2*h**2 - 3*h**2)*(-10*h + 7*h - 3*h) - 2*h**3 + 3*h**3 + 4*h**3.\n | 149*h**3\n | ibivibiv/math_instruct | |
Let z(k) = 25*k - 11. Let d(v) = 231*v + 1. Determine z(d(n)).\n | 5775*n + 14\n | ibivibiv/math_instruct | |
Let f(j) = -24*j + 10. Let q(n) = n + 5 - 11*n + 2 - 6*n. Let a(k) = -5*f(k) + 7*q(k). Is a(6) a multiple of 19?\n | False\n | ibivibiv/math_instruct | |
Calculate prob of sequence njj when three letters picked without replacement from jjbnnjzjznzbjbnb.\n | 1/42\n | ibivibiv/math_instruct | |
Differentiate -769*k**2 + k - 1886.\n | -1538*k + 1\n | ibivibiv/math_instruct | |
Let z(q) = -q**3 - 9*q**2 - 8*q + 4. Let w be z(-8). Solve l - w*l = -15 for l.\n | 5\n | ibivibiv/math_instruct | |
Find the third derivative of 6*t**3 - 3*t + 2*t**2 + 2*t**2 + 20*t**3 + 3*t**3 wrt t.\n | 174\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 1133360 and 32240.\n | 2480\n | ibivibiv/math_instruct | |
Let j(v) = -98*v**2 + 42*v + 42. Let c(a) = 2*a**2 - a - 1. Let q(m) = -42*c(m) - j(m). Let f(p) = 3*p**2. What is q(f(r))?\n | 126*r**4\n | ibivibiv/math_instruct | |
Is 210658927 a composite number?\n | False\n | ibivibiv/math_instruct | |
Let l(p) = -p**3 + 7*p**2 - 8*p + 14. Let u be l(6). Solve -8*m + u = -6*m for m.\n | 1\n | ibivibiv/math_instruct | |
Suppose 2*t - 4*t = -8694. What is the units digit of (-1)/(-4) + t/84?\n | 2\n | ibivibiv/math_instruct | |
Suppose -16*p = -11*p - 15. Suppose z - 17 = -0*z. Let y be 43/3 + z/(-51). Solve -n - 5 - 3 = g, -n = p*g + y for g.\n | -3\n | ibivibiv/math_instruct | |
Which is smaller: -0.1863 or 20?\n | -0.1863\n | ibivibiv/math_instruct | |
What is the hundreds digit of 15108?\n | 1\n | ibivibiv/math_instruct | |
Let u(v) be the first derivative of -3*v**2 - 10*v - 2. Let p be u(-7). Suppose 0 = j - 3*j + p. Calculate the remainder when j is divided by 9.\n | 7\n | ibivibiv/math_instruct | |
What is the hundreds digit of 13678/((-57)/(-76) + 95/(-180))?\n | 5\n | ibivibiv/math_instruct | |
What is 1953390 to the power of 1/4, to the nearest integer?\n | 37\n | ibivibiv/math_instruct | |
Which is the nearest to -0.3? (a) 162 (b) 3.9 (c) 6/7\n | c\n | ibivibiv/math_instruct | |
Let h = -4707 - -6619. What is the thousands digit of h?\n | 1\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 66207218?\n | 2\n | ibivibiv/math_instruct | |
Suppose -8*x - 2*g = -3*x - 259, 94 = 2*x + 4*g. Let a = x - -48. Is a a multiple of 6?\n | False\n | ibivibiv/math_instruct | |
Let b = 26 - 18. What is the second derivative of -800*w**3 + 800*w**3 - 11*w**5 + b*w wrt w?\n | -220*w**3\n | ibivibiv/math_instruct | |
Let q(l) = 5*l**2. Determine q(1).\n | 5\n | ibivibiv/math_instruct | |
Let z = -0.01 + 0.04. Let h = -0.23 + z. Let i = 0.20000005 + h. What is i rounded to 7 decimal places?\n | 0.0000001\n | ibivibiv/math_instruct | |
Let j = 16 - -49. Suppose -p + j = -s - 3*s, -217 = -3*p + s. What is the units digit of p?\n | 3\n | ibivibiv/math_instruct | |
How many decades are there in 3/50 of a millennium?\n | 6\n | ibivibiv/math_instruct | |
Calculate -1336375 - 16110612.\n | -17446987\n | ibivibiv/math_instruct | |
Let n = 1.5 - 1. Let m = -1.328 + 0.828. Put m, n, -0.1 in descending order.\n | n, -0.1, m\n | ibivibiv/math_instruct | |
Let c = 9.74 + 1.56. Let s = c + -11.194. Let m = s + -2.106. What is the nearest to -4 in m, -1, 0.2?\n | m\n | ibivibiv/math_instruct | |
Let j = 2 + 0. Let i(k) = -2*k**2 - 4*k**j + 5*k**2 - 3 - 4*k. Suppose 0*w - 21 = 5*c - 2*w, -2*w + 6 = 0. Determine i(c).\n | 0\n | ibivibiv/math_instruct | |
Suppose 24 = 2*q + 4. What is the derivative of -u**3 + q*u + 9 - 10*u + 4*u**2 - 5*u**2 wrt u?\n | -3*u**2 - 2*u\n | ibivibiv/math_instruct | |
How many litres are there in 1860.261ml?\n | 1.860261\n | ibivibiv/math_instruct | |
Let r(v) be the second derivative of v**3/3 + 3*v**2 - 1407*v. Let l = -12 + 17. Suppose -3*d - 3 + 13 = l*a, -5*d + 28 = -3*a. What is r(d)?\n | 16\n | ibivibiv/math_instruct | |
Simplify ((sqrt(242)/(sqrt(11) + sqrt(11)*2*-1))/((sqrt(99) + 1*sqrt(99) + sqrt(99))/sqrt(9)*6) + 5)**2.\n | -5*sqrt(2)/9 + 4051/162\n | ibivibiv/math_instruct | |
b"What is the th term of 1466, 1467, 1468?\n" | b + 1465\n | ibivibiv/math_instruct | |
Expand (-1 + 169*n**2 - 184*n**2 + 3)*(n + n + n) - n**3 - 11*n**2 + 11*n**2.\n | -46*n**3 + 6*n\n | ibivibiv/math_instruct | |
What is next in 313, 1016, 2099, 3562, 5405, 7628?\n | 10231\n | ibivibiv/math_instruct | |
Let c = -101967/1906 - 2/953. Let a = 58 + c. Factor 17/4*o**2 + 0*o - a*o**3 + 5/4*o**4 - 1.\n | (o - 2)*(o - 1)**2*(5*o + 2)/4\n | ibivibiv/math_instruct | |
Sort -18, -3, 159.\n | -18, -3, 159\n | ibivibiv/math_instruct | |
Let h be 1 - (2/(-1))/(-2). Let u be 3/(-5)*(-5 - h). Suppose -2*r - 2*d + 28 = 0, -u*r + 3*d + 28 = -r. Calculate the least common multiple of 8 and r.\n | 56\n | ibivibiv/math_instruct | |
Factor 1/3*g**3 - 1/3 + g - g**2.\n | (g - 1)**3/3\n | ibivibiv/math_instruct |
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