instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
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|---|---|---|---|
Suppose -5*m - 2*b + 184 = -4*b, -3*m = 4*b - 100. What is the least common multiple of 48 and m?\n | 144\n | ibivibiv/math_instruct | |
Let h(p) = -p**2 - 12*p + 2. Let s(n) = 9*n**2 + 120*n - 21. Let b(r) = -21*h(r) - 2*s(r). Find v, given that b(v) = 0.\n | -4, 0\n | ibivibiv/math_instruct | |
5 (base 7) to base 15\n | 5\n | ibivibiv/math_instruct | |
Expand (-3*z + 7*z + 2*z)*(-4 - 3*z + 4) + (1 + 2 - 2)*(-2*z**2 - 3 + 3) + (2*z + z - z)*(z + 7*z + 0*z) + z**2 - 3*z**2 + 3*z**2 - 2*z**2 - z**2 + z**2.\n | -5*z**2\n | ibivibiv/math_instruct | |
Calculate 18 divided by -4.\n | -9/2\n | ibivibiv/math_instruct | |
Let f be 1/(-2) - ((-525)/(-6))/(-5). Suppose 2*z + 11 = f. Solve 15 = 3*b + 2*b, -b = -4*j - z for j.\n | 0\n | ibivibiv/math_instruct | |
Calculate (-5)/((-15)/6)*(-7)/(-14).\n | 1\n | ibivibiv/math_instruct | |
Let g(t) = -5*t - 3 - 2 + t**2 + 1. Let u be g(6). Solve -u*n = -7*n for n.\n | 0\n | ibivibiv/math_instruct | |
Alices white water rafting class is composed of 40 students and 10 instructors, including herself. She has 20 life vests on hand. 20% of her students are bringing life vests. How many more life vests will Alice need to get so that entire class has one? Please respond by writing a program in Python. | # define the initial number of students and instructors and the number of life vests already available
students = 40
instructors = 10
life_vests = 20
# calculate the number of students who are bringing their own life vests
students_with_vests = students * 0.2
# calculate the total number of people in the class
total_... | ibivibiv/math_instruct | |
Solve 33*b - 30*b + 10 - 23 = -2*x, 5*x = 25 for b.\n | 1\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Does Central Limit Theorem implies that …
Let $X_1$, $X_2$, ... be iid random variables with $E(X_1)$ = $\mu < \infty$ and $Var(X_1)$ = $\sigma^2 < \infty$.
Does the Central Limit Theorem implies that the sample mean conv... | The central limit theorem (CLT) is a fundamental concept in probability theory and statistics that has wide-ranging applications in various fields. At its core, the CLT provides conditions under which the sum or average of a large number of independent and identically distributed (i.i.d.) random variables approaches a... | ibivibiv/math_instruct | |
Let l = -1.1 - 12.9. Let i = 13.904 + l. Round i to two dps.\n | -0.1\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 30896377 and 959.\n | 137\n | ibivibiv/math_instruct | |
Evaluate -99 + (-358 + 333 - (-52 - 0)).\n | -72\n | ibivibiv/math_instruct | |
What is 16752267 to the power of 1/2, to the nearest integer?\n | 4093\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 760 and 8.\n | 8\n | ibivibiv/math_instruct | |
What is 2 divided by 243157404?\n | 1/121578702\n | ibivibiv/math_instruct | |
Which is the closest to 1/16? (a) 0.2 (b) 1 (c) 66 (d) -5\n | a\n | ibivibiv/math_instruct | |
Find the second derivative of -90038*x**3 + 18878*x wrt x.\n | -540228*x\n | ibivibiv/math_instruct | |
What are the prime factors of 92927932?\n | 2, 127, 182929\n | ibivibiv/math_instruct | |
What is the cube root of 30531413 to the nearest integer?\n | 313\n | ibivibiv/math_instruct | |
Is 1060245028 a multiple of 1908?\n | False\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 408 and 1173?\n | 51\n | ibivibiv/math_instruct | |
What is the nearest to 2 in -2, 105, 2/11, 0.194, -69?\n | 0.194\n | ibivibiv/math_instruct | |
Let y(g) = 5 + 25*g - 49*g + 29*g. Determine y(-6).\n | -25\n | ibivibiv/math_instruct | |
Let t(q) = q**3 - 352*q**2 - 350*q - 1081. Determine t(353).\n | -22\n | ibivibiv/math_instruct | |
Divide -2173292 by 2.\n | -1086646\n | ibivibiv/math_instruct | |
Let u be (684/(-45))/19*(-8065)/2 - -6. Calculate the highest common factor of 128 and u.\n | 32\n | ibivibiv/math_instruct | |
Let j(m) = 11*m**2 - 3*m + 17. Let z(d) be the first derivative of -5*d**3/3 + d**2 - 8*d - 6. Let q(a) = 4*j(a) + 9*z(a). Give q(3).\n | 5\n | ibivibiv/math_instruct | |
In base 16, what is b9b9 + 4?\n | b9bd\n | ibivibiv/math_instruct | |
Rearrange (1 - 2 + 4)*(3*f + f - 5*f)*(4238 + 5232 + 834 - 26) to j*f + u and give j.\n | -30834\n | ibivibiv/math_instruct | |
Expand -27198*q**5 - 28228*q**4 - 28224*q**4 + 56452*q**4 - q**5 + 0*q**5 + 0*q**5 + (-5*q**3 + 3*q**3 + 4*q**3)*(-q**2 - 2*q + 2*q) + q**5 + 0*q**5 + q**5.\n | -27199*q**5\n | ibivibiv/math_instruct | |
Let a = 3694387.9573 + -3694239. Let u = a - 149. Let m = u + 0.046. Round m to three dps.\n | 0.003\n | ibivibiv/math_instruct | |
Simplify (s/s**(1/3))**(-19)*s**(5/3)/((s*s/(s*s/(s**(-2/7)*s)))/s) assuming s is positive.\n | s**(-75/7)\n | ibivibiv/math_instruct | |
Simplify ((1 + (sqrt(19) + 0)*-3 - (-1 + 2*sqrt(19) - (4 + sqrt(76) + sqrt(19)))) + -3)**2.\n | -12*sqrt(19) + 85\n | ibivibiv/math_instruct | |
Let p(n) be the second derivative of -n**7/63 + n**6/30 + n**5/60 - n**4/12 + n**3/18 - 8*n. Determine o, given that p(o) = 0.\n | -1, 0, 1/2, 1\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {j: 3, b: 2, d: 2, o: 3, n: 9, g: 1}. Give prob of sequence bdbg.\n | 1/29070\n | ibivibiv/math_instruct | |
(-1561)/(-56) - 28 - (-15)/(-8)\n | -2\n | ibivibiv/math_instruct | |
In base 16, what is -c + -3?\n | -f\n | ibivibiv/math_instruct | |
Expand (-c + 2*c - 3*c)*(-61 - 1420 + 626) + 4*c - 2*c - c + (-1 + 0 + 2)*(2 - 2*c - 2).\n | 1709*c\n | ibivibiv/math_instruct | |
15/(-6)*1/5\n | -1/2\n | ibivibiv/math_instruct | |
Let q(g) be the first derivative of -g**6/21 - 2*g**5/35 + 4*g**4/7 + 8*g**3/7 + 425. Factor q(h).\n | -2*h**2*(h - 3)*(h + 2)**2/7\n | ibivibiv/math_instruct | |
Let s = -1227226/75 - -16364. Calculate the common denominator of 89/75 and s.\n | 75\n | ibivibiv/math_instruct | |
Calculate ((3 - 5) + -3 - 7) + 1 + -2.\n | -13\n | ibivibiv/math_instruct | |
What is 0.298 take away -24979?\n | 24979.298\n | ibivibiv/math_instruct | |
Suppose 1530238 = 4*v + 2*x - 7577362, 9107600 = 4*v + 4*x. Round v to the nearest 10000.\n | 2280000\n | ibivibiv/math_instruct | |
Is 2634333199 composite?\n | False\n | ibivibiv/math_instruct | |
Let l = 85 - 61. What is the remainder when 47 is divided by l?\n | 23\n | ibivibiv/math_instruct | |
Let a(b) = 3*b**2 + 14*b. What are the prime factors of a(-11)?\n | 11, 19\n | ibivibiv/math_instruct | |
What is next in -9325, -9324, -9323?\n | -9322\n | ibivibiv/math_instruct | |
What is next in 883, 1773, 2677, 3595?\n | 4527\n | ibivibiv/math_instruct | |
Let d be 149/(-51) - 6/(-2). Let t = -185/408 + d. Which is smaller: 0 or t?\n | t\n | ibivibiv/math_instruct | |
What is 709 minutes before 7:37 AM?\n | 7:48 PM\n | ibivibiv/math_instruct | |
Sam had to wash 40 short sleeve shirts and 23 long sleeve shirts before school. If he had only washed 29 of them by the time school started, how many did he not wash? | Sam had a total of 40 short sleeve shirts + 23 long sleeve shirts = 63 shirts to wash.
If he washed 29 of them, then he did not wash 63 - 29 = 34 shirts. | ibivibiv/math_instruct | |
Solve 4*p = -4*v - 8, 3742*p - 3748*p + 2*v - 4 = 0 for p.\n | -1\n | ibivibiv/math_instruct | |
-308324 (base 11) to base 10\n | -494190\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-92.5353 - -70.487) / (-88.985 * 52.6961) | 0.0047 | ibivibiv/math_instruct | |
What are the prime factors of 389265693?\n | 3, 129755231\n | ibivibiv/math_instruct | |
In base 15, what is -31 + -6bb1?\n | -6be2\n | ibivibiv/math_instruct | |
What is 12005304 rounded to the nearest 100000?\n | 12000000\n | ibivibiv/math_instruct | |
What is prob of sequence cxoi when four letters picked without replacement from {c: 1, o: 5, i: 1, b: 3, x: 1, w: 1}?\n | 1/2376\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 y, 1 m, and 1 d when four letters picked without replacement from ymmmmydmy.\n | 5/42\n | ibivibiv/math_instruct | |
Round 5.477 to the nearest 100.\n | 0\n | ibivibiv/math_instruct | |
Express (-5 - 5 + 5)*(-8 - 3*f + 8) as d*f + i and give d.\n | 15\n | ibivibiv/math_instruct | |
Factor 4*n**2 + 40*n + 36.\n | 4*(n + 1)*(n + 9)\n | ibivibiv/math_instruct | |
By investing in 1623% stock at 64, one earns Rs. 1900. The investment made is
Answer Choices: (A) s. 9600 (B) s. 7500 (C) s. 5640 (D) s. 5760 (E) -7296 | Lets solve the multi-choice question step by step.
Market Value = Rs.64
Face Value is not given and hence take it as Rs.100
16 2/3% of the face value = 50/3
ie, to earn 50/3, investment = Rs.64
Hence, to earn Rs.1500, investment needed = 64×3×1500/50=5760
The answer is Option D | ibivibiv/math_instruct | |
What is -46833234.1 rounded to the nearest one thousand?\n | -46833000\n | ibivibiv/math_instruct | |
How many months are there in 8808.973 millennia?\n | 105707676\n | ibivibiv/math_instruct | |
What is -4 divided by -11951?\n | 4/11951\n | ibivibiv/math_instruct | |
Collect the terms in -349 - 4*y + 349.\n | -4*y\n | ibivibiv/math_instruct | |
What is the highest common factor of 1792 and 2513?\n | 7\n | ibivibiv/math_instruct | |
Factor -4*m**3 + 2996*m**2 - 283712*m + 280720.\n | -4*(m - 638)*(m - 110)*(m - 1)\n | ibivibiv/math_instruct | |
Multiply 158 and -2.\n | -316\n | ibivibiv/math_instruct | |
Round 13.92578 to the nearest integer.\n | 14\n | ibivibiv/math_instruct | |
Does 16 divide 1248?\n | True\n | ibivibiv/math_instruct | |
Suppose 2*h + 747 = 3*t, -4*t + 4*h + 681 = -311. Let p = t + -4266/17. Which is smaller: 0 or p?\n | 0\n | ibivibiv/math_instruct | |
Calculate prob of sequence yytt when four letters picked without replacement from {y: 10, t: 9}.\n | 45/646\n | ibivibiv/math_instruct | |
Solve 6*z + 8 = -z + 11*z, -z - 5 = 3*t - 4*t - 2*z - z for t.\n | 1\n | ibivibiv/math_instruct | |
Let h(o) be the first derivative of -5*o**4/4 + 2*o**3/3 + o**2 - o - 1. Let n be h(-2). Suppose 5*z = 3*d + 150, -3*d - 160 = -4*z - n. Does 10 divide z?\n | False\n | ibivibiv/math_instruct | |
Calculate 200796733185.3 - -0.1.\n | 200796733185.4\n | ibivibiv/math_instruct | |
Simplify (s*s*s**(-4/13))/(s/s**(-13)) assuming s is positive.\n | s**(-160/13)\n | ibivibiv/math_instruct | |
Put 11, 2057, 4 in decreasing order.\n | 2057, 11, 4\n | ibivibiv/math_instruct | |
What is 69303 to the power of 1/5, to the nearest integer?\n | 9\n | ibivibiv/math_instruct | |
In base 7, what is 11 - 404016?\n | -404005\n | ibivibiv/math_instruct | |
What is -33945 divided by -15?\n | 2263\n | ibivibiv/math_instruct | |
Suppose 0 = 20*d - 7*d - 104. Suppose -5*v + 4 = -4*n, -3*n = 3*v + d - 32. Solve -2*c - v = -3*q + q, 2*c - 26 = -4*q for q.\n | 5\n | ibivibiv/math_instruct | |
Let a(f) be the second derivative of f**4/4 + 5*f**3/2 - 36*f**2 + 12*f + 3. Let a(d) = 0. What is d?\n | -8, 3\n | ibivibiv/math_instruct | |
Is 767339 prime?\n | True\n | ibivibiv/math_instruct | |
Let d(g) be the first derivative of g**3/3 + 3*g**2 + 5*g - 6. Calculate d(-4).\n | -3\n | ibivibiv/math_instruct | |
Let y = 170 + -367. Let m = y + 196. Which is bigger: m or -2/219?\n | -2/219\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 4809 and 21.\n | 21\n | ibivibiv/math_instruct | |
Round -5434100 to the nearest ten thousand.\n | -5430000\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 564 and 3666?\n | 7332\n | ibivibiv/math_instruct | |
Is 4126718083 a prime number?\n | True\n | ibivibiv/math_instruct | |
What is the common denominator of 53/9968 and -43/19250?\n | 13706000\n | ibivibiv/math_instruct | |
What is the second biggest value in -196, 14, -0.3, 2/3, 0.3, -0.1?\n | 2/3\n | ibivibiv/math_instruct | |
Calculate (-1 - -1) + -1 + 4 + -5.\n | -2\n | ibivibiv/math_instruct | |
What is the millions digit of 4348565?\n | 4\n | ibivibiv/math_instruct | |
Find the third derivative of -827*c**3*z**2 + 2*c**3 + 184*c**2*z**2 + 2*c**2*z - 5*c**2 wrt c.\n | -4962*z**2 + 12\n | ibivibiv/math_instruct | |
Expand (3 - 3 - 6)*(-62*f**2 + 38*f**2 - 26*f**2).\n | 300*f**2\n | ibivibiv/math_instruct |
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