instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Collect the terms in -621*i**3 - 24*i**2 + 24*i**2 - 640*i**3.\n | -1261*i**3\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 8050 and 23.\n | 23\n | ibivibiv/math_instruct | |
Rearrange -184*b + 686*b**2 - 916*b**2 + 220*b**2 to the form r + x*b**2 + y*b and give x.\n | -10\n | ibivibiv/math_instruct | |
Round 0.0258638 to 2 decimal places.\n | 0.03\n | ibivibiv/math_instruct | |
Solve -26*l = -119*l + 680 + 64 for l.\n | 8\n | ibivibiv/math_instruct | |
What is the next term in 125, 122, 125, 140, 173?\n | 230\n | ibivibiv/math_instruct | |
Let d(a) = a + 105. Let q be d(-14). What is the greatest common divisor of 7 and q?\n | 7\n | ibivibiv/math_instruct | |
Put 20, -131, 4, -2, 2, -4 in decreasing order.\n | 20, 4, 2, -2, -4, -131\n | ibivibiv/math_instruct | |
Solve -3*m - p + 1 = 3, -4*m - 2*p - 2 = 0 for m.\n | -1\n | ibivibiv/math_instruct | |
Let o(q) = 18 - 430*q + 36 + 423*q. Let n be o(7). Is n less than or equal to 29/5?\n | True\n | ibivibiv/math_instruct | |
Calculate the remainder when 1998550 is divided by 124909.\n | 6\n | ibivibiv/math_instruct | |
Express 72 - 25 + 2*v**2 - 25 - 21 in the form y*v + h + p*v**2 and give h.\n | 1\n | ibivibiv/math_instruct | |
Calculate ((-2)/(-133))/((108/(-1323))/(72/18)).\n | -14/19\n | ibivibiv/math_instruct | |
What is the least common multiple of 4048176 and 3312144?\n | 36433584\n | ibivibiv/math_instruct | |
Let t(x) = -x**3 - 4*x**2 + 7*x - 6. Let i be t(-6). Suppose -i = -3*y + 18. What is the remainder when 69 is divided by y?\n | 13\n | ibivibiv/math_instruct | |
Round 0.00226026894 to five dps.\n | 0.00226\n | ibivibiv/math_instruct | |
Simplify -3*(-2*sqrt(325) - sqrt(104)/(-1*sqrt(8))) + -4.\n | -4 + 27*sqrt(13)\n | ibivibiv/math_instruct | |
In base 5, what is 4 + 11041?\n | 11100\n | ibivibiv/math_instruct | |
Find the third derivative of -5582584*z**5 + 22268194*z**2 wrt z.\n | -334955040*z**2\n | ibivibiv/math_instruct | |
What is -121112323 (base 4) in base 2?\n | -11001010110111011\n | ibivibiv/math_instruct | |
Solve -5*u + 45 - 15 = 15, -11*f = 4*u - 120 + 86 for f.\n | 2\n | ibivibiv/math_instruct | |
Suppose 10 = 5*k, 5*i - 4*k = -0*i - 68. Calculate the remainder when 88 is divided by 86*i/(-57) - (-48)/(-456).\n | 16\n | ibivibiv/math_instruct | |
Divide -1724412 by -4.\n | 431103\n | ibivibiv/math_instruct | |
Convert 5329 (base 14) to base 5.\n | 424340\n | ibivibiv/math_instruct | |
Solve -124*a + 2991 - 4215 = 3984 for a.\n | -42\n | ibivibiv/math_instruct | |
Let s be 1034/33 + 1/3. Which is bigger: s or 33?\n | 33\n | ibivibiv/math_instruct | |
What is -1312 divided by -2?\n | 656\n | ibivibiv/math_instruct | |
What is the closest to 1 in -252, -533/5, 7?\n | 7\n | ibivibiv/math_instruct | |
What is -658.74 - 21.54?\n | -680.28\n | ibivibiv/math_instruct | |
Collect the terms in -49*l**2 - 53*l**2 + 31*l**2 - 23 + 23.\n | -71*l**2\n | ibivibiv/math_instruct | |
Simplify (-2*sqrt(95)*-1 + (-5*(sqrt(95) + sqrt(95) + sqrt(95)*-5) + sqrt(95) - sqrt(95) - sqrt(95)) + sqrt(95))/((sqrt(720) - 5*-5*sqrt(720))*-1).\n | -17*sqrt(19)/312\n | ibivibiv/math_instruct | |
Rearrange (k + 4*k - 7*k)*(825 - 457 - 444) to x + v*k and give v.\n | 152\n | ibivibiv/math_instruct | |
What is 98 minutes after 11:58 AM?\n | 1:36 PM\n | ibivibiv/math_instruct | |
What is next in -17925, -17926, -17927, -17928?\n | -17929\n | ibivibiv/math_instruct | |
Evaluate ((-52)/(-130))/(16/10).\n | 1/4\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 2915641 and 7843.\n | 23\n | ibivibiv/math_instruct | |
Let q(w) = -2*w - 42. Let h be q(-22). What is the third derivative of 14*k**3 + 4*k**h + 5*k**3 + 4*k - 228*k**3 wrt k?\n | -1254\n | ibivibiv/math_instruct | |
Let o be (45/30 - 1)*(7222 - -2). Calculate the greatest common factor of 336 and o.\n | 84\n | ibivibiv/math_instruct | |
Suppose -2*q = 4*l + 236, 357 = -3*q - 0*q - 3*l. Let s = -72 - q. What is the greatest common divisor of 6 and s?\n | 6\n | ibivibiv/math_instruct | |
What is the closest to 27 in 39, -869, -3?\n | 39\n | ibivibiv/math_instruct | |
Express (-2*w - w - w**2 - w**2)*(-118*w - 3614 + 3614) in the form c*w**3 + x + t*w**2 + i*w and give t.\n | 354\n | ibivibiv/math_instruct | |
Express (0*r + 4*r - 2*r)*(31 - 5 + 4)*(-2*r**3 + 3*r**3 + r**3 - 3*r) as j*r**4 + s*r**3 + g*r + a + p*r**2 and give j.\n | 120\n | ibivibiv/math_instruct | |
Let v = -0.2 - -0.4. Let r = 899.07 + -894. Let j = r - 0.07. Which is the second smallest value? (a) j (b) -4 (c) v\n | c\n | ibivibiv/math_instruct | |
Simplify (3*sqrt(6)*-3)/(sqrt(3) - sqrt(243)*2).\n | 9*sqrt(2)/17\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 2287361508?\n | 6\n | ibivibiv/math_instruct | |
Let g(n) = 5*n**2 + 99*n - 1. Let c(m) = -2*m - 138. Give c(g(l)).\n | -10*l**2 - 198*l - 136\n | ibivibiv/math_instruct | |
Let d = 0.2 - -3.8. Let r = 0 - 5. Which is the closest to -2? (a) d (b) r (c) -2\n | c\n | ibivibiv/math_instruct | |
Calculate -122628 divided by 11.\n | -11148\n | ibivibiv/math_instruct | |
Let d(b) = 50*b**3 - 114*b**2 + 86*b + 11. Let l be (-7 + 4)/(9/6). Let o(h) = -10*h**3 + 23*h**2 - 17*h - 2. Let m(a) = l*d(a) - 11*o(a). Factor m(w).\n | 5*w*(w - 1)*(2*w - 3)\n | ibivibiv/math_instruct | |
Let x = -13 + 19. What is the units digit of x?\n | 6\n | ibivibiv/math_instruct | |
Calculate ((-56)/98)/((-4)/980*-10).\n | -14\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"Relations Problem 4
Reminder of how we defined the relation:
$$f \thicksim g$$ if and only if there is a $$k \in \mathbb{R}$$ such that f(x) = g(x) for every $$x \geq k$$.
Solution
Reflexive
Let f be a function from the ... | We begin by defining a relation $\thicksim$ on the set of all real-valued functions defined on the real numbers:
$$f \thicksim g$$ if and only if there exists a $k \in \mathbb{R}$ such that $f(x) = g(x)$ for every $x \ge k$.
This definition warrants some unpacking. Essentially, two functions are related if they agre... | ibivibiv/math_instruct | |
What is the greatest common factor of 22 and 449863942?\n | 22\n | ibivibiv/math_instruct | |
Express (-23 - 4*t + 26 + 6*t)*(-4 + 4 - 3)*(-3 + 1 + 4) in the form m + l*t and give l.\n | -12\n | ibivibiv/math_instruct | |
Suppose -6*t = 16*t - 3740. What is the tens digit of t?\n | 7\n | ibivibiv/math_instruct | |
Let h = 1 + 2. Suppose -3*d = -0*o + o - 9, 4*d = -3*o + 17. Find the third derivative of -2*w**2 - 2*w**5 + w**5 + h*w**d wrt w.\n | -60*w**2\n | ibivibiv/math_instruct | |
Let g = -21 - -25. Which is the third smallest value? (a) 0.5 (b) 2/7 (c) g\n | c\n | ibivibiv/math_instruct | |
Let p(s) = 529*s**2 - 6*s + 2. What are the prime factors of p(2)?\n | 2, 3, 13\n | ibivibiv/math_instruct | |
Solve 6*g + 48 + 1 = -l, -2*l = 4*g + 34 for g.\n | -8\n | ibivibiv/math_instruct | |
Let x = 49 - 26. Let l be (-8 - (-7 + 11))*((-2)/6)/1. Sort -2, l, x in decreasing order.\n | x, l, -2\n | ibivibiv/math_instruct | |
List the prime factors of 348.\n | 2, 3, 29\n | ibivibiv/math_instruct | |
What are the prime factors of 3502386656?\n | 2, 131, 271, 3083\n | ibivibiv/math_instruct | |
What is the highest common divisor of 67 and 2948?\n | 67\n | ibivibiv/math_instruct | |
What is the closest to -225/11 in -1, -4, 0.3?\n | -4\n | ibivibiv/math_instruct | |
Let i = -2.9 + 3.1. What is the third biggest value in i, 2, -4?\n | -4\n | ibivibiv/math_instruct | |
Solve -14498*m = -11714*m + 130848 for m.\n | -47\n | ibivibiv/math_instruct | |
Suppose 2*c = 16*j - 15*j + 88, 3*j + 129 = 3*c. Suppose -c = x - 16*x. Solve -4*y + x = -17 for y.\n | 5\n | ibivibiv/math_instruct | |
Simplify ((i/(i/(i*i/(i*i**(-16)/i))))/((i/i**(1/2)*i)/i*i))**(-1/69) assuming i is positive.\n | i**(-11/46)\n | ibivibiv/math_instruct | |
What is 6 - ((2 - -12) + -7)?\n | -1\n | ibivibiv/math_instruct | |
Solve 0*o - 1760 = -0*o + 49*o - 5288 for o.\n | 72\n | ibivibiv/math_instruct | |
Let l = 7 + 33. Let c be 136/l + ((-12)/5 - -2). Determine d, given that -1/2*d - 2*d**c - 49/6*d**2 + 2/3 = 0.\n | -4, -1/3, 1/4\n | ibivibiv/math_instruct | |
How many minutes are there between 1:26 AM and 6:39 AM?\n | 313\n | ibivibiv/math_instruct | |
The cost of 2 chairs and 3 tables is Rs.1600. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by?
Answer Choices: (A) 228 (B) 287 (C) 277 (D) 188 (E) 400 | Lets solve the multi-choice question step by step.
2C + 3T = 1600 --- (1)
3C + 3T = 1200 --- (2)
Subtracting 2nd from 1st, we get
-C + T = 400 => T - C = 400
The answer is E | ibivibiv/math_instruct | |
Evaluate (-2160)/525 - 20*48/(-400).\n | -12/7\n | ibivibiv/math_instruct | |
Is 12133 prime?\n | False\n | ibivibiv/math_instruct | |
What is next in 29, 50, 69, 86, 101, 114?\n | 125\n | ibivibiv/math_instruct | |
Collect the terms in 71*j - 573*j - 331*j + 5 - 30 + 23*j.\n | -810*j - 25\n | ibivibiv/math_instruct | |
Calculate the remainder when 157762 is divided by 1315.\n | 1277\n | ibivibiv/math_instruct | |
Is 18730 at least as big as -462?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in 3*s**3 + 3*s**3 - 3*s**3 + 5*s**3.\n | 8*s**3\n | ibivibiv/math_instruct | |
Factor 5*w**4/4 - 15*w**3/4 - 15*w**2/4 + 55*w/4 - 15/2.\n | 5*(w - 3)*(w - 1)**2*(w + 2)/4\n | ibivibiv/math_instruct | |
What is 679 minutes before 3:27 AM?\n | 4:08 PM\n | ibivibiv/math_instruct | |
b"What is the oth term of -454, -1792, -4018, -7138, -11158?\n" | -o**3 - 438*o**2 - 17*o + 2\n | ibivibiv/math_instruct | |
Let q(k) = 4*k. Let l(m) = -3*m. Let g(o) = -4*l(o) - 2*q(o). Let i(c) = -4*c. What is g(i(a))?\n | -16*a\n | ibivibiv/math_instruct | |
Suppose -j - 3*l = -20, -8*j + 11*j = -3*l + 42. Solve -16 = -5*r - j for r.\n | 1\n | ibivibiv/math_instruct | |
Solve -3143*y + 3254*y - 524 - 586 = 0 for y.\n | 10\n | ibivibiv/math_instruct | |
Collect the terms in 97*w + 20*w + 35*w - 152*w + 23*w**2.\n | 23*w**2\n | ibivibiv/math_instruct | |
Dr. Jones earns $6,000 a month. His house rental is $640 each month; his monthly food expense is $380; his electric and water bill costs 1/4 of what he makes, and his insurances cost 1/5 of what he makes. How much money does he have left after paying those four bills? | Dr. Jones earns $6,000 a month.
His house rental is $640 each month.
His monthly food expense is $380.
His electric and water bill costs 1/4 of what he makes, which is $6000/4 = $1500.
His insurances cost 1/5 of what he makes, which is $6000/5 = $1200.
To find out how much money he has left after paying those bills, we... | ibivibiv/math_instruct | |
Solve -420*d + 1264 + 7556 = 0 for d.\n | 21\n | ibivibiv/math_instruct | |
Find w such that -w**5/9 - 392*w**4/9 + 3580*w**3/9 - 11590*w**2/9 + 5207*w/3 - 802 = 0.\n | -401, 1, 2, 3\n | ibivibiv/math_instruct | |
What is prob of sequence tt when two letters picked without replacement from {t: 2, a: 4}?\n | 1/15\n | ibivibiv/math_instruct | |
Simplify sqrt(1377) + (-1 + sqrt(1377))**2 - (sqrt(17) - (-1*sqrt(17) + -5)).\n | -11*sqrt(17) + 1373\n | ibivibiv/math_instruct | |
Is 61 a factor of 2852200400?\n | False\n | ibivibiv/math_instruct | |
Suppose 4*z - 30 = 5*z. Let g be z/26 - (-1)/1. Let i = 5.7 + -5.57. Which is the second biggest value? (a) i (b) 3/7 (c) 0.2 (d) g\n | c\n | ibivibiv/math_instruct | |
Collect the terms in -100*i**3 - 13*i + 46*i**3 - 29*i**3 + 13*i.\n | -83*i**3\n | ibivibiv/math_instruct | |
Put 0.7, -31, 7, -0.6 in decreasing order.\n | 7, 0.7, -0.6, -31\n | ibivibiv/math_instruct | |
What is -1 divided by 820?\n | -1/820\n | ibivibiv/math_instruct | |
In base 14, what is 5 + 7a?\n | 81\n | ibivibiv/math_instruct | |
Work out 0.05819 * 0.0081.\n | 0.000471339\n | ibivibiv/math_instruct | |
What is prob of sequence yh when two letters picked without replacement from {x: 1, n: 1, w: 1, e: 1, y: 2, h: 1}?\n | 1/21\n | ibivibiv/math_instruct |
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