instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the highest common factor of 235 and 376?\n | 47\n | ibivibiv/math_instruct | |
Simplify ((d*(d**8*d*d*d)/d)/d*d**(1/2)*(d**(2/17))**(38/3))**(1/9) assuming d is positive.\n | d**(1223/918)\n | ibivibiv/math_instruct | |
Suppose 0 = -118*n + 59*n + 208211. What are the prime factors of n?\n | 3529\n | ibivibiv/math_instruct | |
Is 0 equal to -3/1739?\n | False\n | ibivibiv/math_instruct | |
Calculate -333930 divided by -4.\n | 166965/2\n | ibivibiv/math_instruct | |
How many minutes are there between 2:05 AM and 8:31 AM?\n | 386\n | ibivibiv/math_instruct | |
Let i = 34 - -2. Let a = i - 27. What is the lowest common multiple of a and 22?\n | 198\n | ibivibiv/math_instruct | |
Solve 23*h - 23*h - 18 = -6*h for h.\n | 3\n | ibivibiv/math_instruct | |
What is the units digit of 1403207?\n | 7\n | ibivibiv/math_instruct | |
Let w(x) = -x**3 + 3*x**2 + 2. Let i = -21 - -57. Let o = i - 33. Let l be w(o). Solve -1 = -l*h + 3*m - 6, -4*h + 2*m = 14 for h.\n | -4\n | ibivibiv/math_instruct | |
Sum 0.064 and 5580413.\n | 5580413.064\n | ibivibiv/math_instruct | |
Solve 75*n = 77*n - 6 for n.\n | 3\n | ibivibiv/math_instruct | |
Suppose s = 2*y + 3, y = s - 3 - 1. Let p(t) = t - 4*t**3 - 18 + s*t**3 + 21. Let x(d) = -d**3 - 4*d**2 - 3*d. Let z be x(-3). Determine p(z).\n | 3\n | ibivibiv/math_instruct | |
Put 0, 84/2551, -1, 0.088 in descending order.\n | 0.088, 84/2551, 0, -1\n | ibivibiv/math_instruct | |
Add together 8 and 351.\n | 359\n | ibivibiv/math_instruct | |
What are the prime factors of 46805?\n | 5, 11, 23, 37\n | ibivibiv/math_instruct | |
Let u(o) be the second derivative of 19773*o**7/70 + 18252*o**6/25 - 4446*o**5/25 + 232*o**4/15 - 8*o**3/15 + 2*o - 259. Suppose u(b) = 0. What is b?\n | -2, 0, 2/39\n | ibivibiv/math_instruct | |
Simplify ((-3*(sqrt(77) + 2*sqrt(77) + sqrt(77)) - ((sqrt(77) - (sqrt(77) + -2*sqrt(77))*5) + sqrt(77)))/(3*sqrt(448)*3))**2.\n | 3971/5184\n | ibivibiv/math_instruct | |
What is the greatest common factor of 39 and 6020573?\n | 13\n | ibivibiv/math_instruct | |
What is -1261919 (base 10) in base 8?\n | -4640537\n | ibivibiv/math_instruct | |
Sort -5, -3, 4, 5, 14, -84, 1.\n | -84, -5, -3, 1, 4, 5, 14\n | ibivibiv/math_instruct | |
Convert 1978.419 years to decades.\n | 197.8419\n | ibivibiv/math_instruct | |
What is 599580202 to the power of 1/6, to the nearest integer?\n | 29\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 54964 and 2528344.\n | 2528344\n | ibivibiv/math_instruct | |
What is the hundreds digit of 453493?\n | 4\n | ibivibiv/math_instruct | |
Is 88366301 a composite number?\n | False\n | ibivibiv/math_instruct | |
Let p = -1150 - -1615. Suppose 33*a - 28*a - p = 0. List the prime factors of a.\n | 3, 31\n | ibivibiv/math_instruct | |
Put 0, -11, 12359, -6 in ascending order.\n | -11, -6, 0, 12359\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 110 and 2467630.\n | 110\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 89 and 2403.\n | 89\n | ibivibiv/math_instruct | |
Let s(o) = o**3 + 9*o**2 + 7*o - 4. Let t be s(-8). Let b be -6*(-13)/26 - -4. Which is smaller: b or t?\n | t\n | ibivibiv/math_instruct | |
What is the tens digit of 970?\n | 7\n | ibivibiv/math_instruct | |
Suppose -130*q = -131*q + 6. Suppose -1 + q = -5*w, -3*g - w + 284 = 0. What is the units digit of g?\n | 5\n | ibivibiv/math_instruct | |
What is the fifth smallest value in 16, -4, 1/5, -0.12, -104/7?\n | 16\n | ibivibiv/math_instruct | |
What is -54100 (base 6) in base 7?\n | -30342\n | ibivibiv/math_instruct | |
b"What is the uth term of -247116926, -247116921, -247116916, -247116911?\n" | 5*u - 247116931\n | ibivibiv/math_instruct | |
Let u(c) = -8*c**2 + 5*c - 5. Let q(r) = -r**2 + 10*r - 1. Let l be q(9). Let s(z) = -12*z**2 + 8*z - 8. Determine l*u(k) - 5*s(k).\n | -4*k**2\n | ibivibiv/math_instruct | |
Find the second derivative of 248069191*h**2*x - 2*h*x - 419*h + 16031*x wrt h.\n | 496138382*x\n | ibivibiv/math_instruct | |
List the prime factors of 466054.\n | 2, 31, 7517\n | ibivibiv/math_instruct | |
b"What is the gth term of 440, 437, 432, 425?\n" | -g**2 + 441\n | ibivibiv/math_instruct | |
Does 52 divide 40623692?\n | False\n | ibivibiv/math_instruct | |
Let b(f) = f**2 - 2*f - 5. Let l be b(4). Suppose 0*n = 4*j - n - 206, -2*j + 98 = -l*n. What is the tens digit of j?\n | 5\n | ibivibiv/math_instruct | |
Let w be (0/3)/((-1)/(-1)). Let i(j) = -j**3 - j**2 + j + 3. Let h be i(0). Solve 9 = -w*l - h*l for l.\n | -3\n | ibivibiv/math_instruct | |
Rearrange -5*o - 27*o**2 + 6*o + 0*o to the form l + i*o + q*o**2 and give q.\n | -27\n | ibivibiv/math_instruct | |
Is 1288500 a multiple of 58?\n | False\n | ibivibiv/math_instruct | |
Calculate 4860 divided by 135.\n | 36\n | ibivibiv/math_instruct | |
Round 1808.7127 to the nearest one hundred.\n | 1800\n | ibivibiv/math_instruct | |
Multiply 392450 and 220.\n | 86339000\n | ibivibiv/math_instruct | |
How many millennia are there in 4.863937 centuries?\n | 0.4863937\n | ibivibiv/math_instruct | |
What is 424 minutes after 1:50 PM?\n | 8:54 PM\n | ibivibiv/math_instruct | |
Express (6 + 26 + 8)*(-29 - 37 - 138*v + 141*v) in the form f*v + z and give f.\n | 120\n | ibivibiv/math_instruct | |
Factor 3*q**3/5 - 12*q**2/5 - 87*q/5 - 72/5.\n | 3*(q - 8)*(q + 1)*(q + 3)/5\n | ibivibiv/math_instruct | |
Find the first derivative of -757*z**4 - 3193.\n | -3028*z**3\n | ibivibiv/math_instruct | |
Expand 0*y - 3*y - 6*y**3 + y**3 + (-y**2 + y**3 + y**2)*(3 - 2 + 0) + 0*y**3 + 2*y**3 + 0*y**3.\n | -2*y**3 - 3*y\n | ibivibiv/math_instruct | |
What is 482 minutes after 10:29 PM?\n | 6:31 AM\n | ibivibiv/math_instruct | |
Let g(l) = 8 + 0*l**2 + 2 - 4*l**3 - 10*l + 9*l**2 - 1. Let n(i) = -5*i**3 + 10*i**2 - 11*i + 10. Let j(t) = 4*g(t) - 3*n(t). Calculate j(5).\n | -4\n | ibivibiv/math_instruct | |
Find the first derivative of 6053*f*t**3 - 11114*f - 3*t**3 + 11416637*t**2 wrt f.\n | 6053*t**3 - 11114\n | ibivibiv/math_instruct | |
Let b(z) = z**3 + 19*z**2 + 29*z - 600. Give b(-10).\n | 10\n | ibivibiv/math_instruct | |
What comes next: -18285, -36583, -54893, -73221, -91573, -109955?\n | -128373\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {i: 1, w: 1, a: 2, e: 12, l: 1}. What is prob of sequence iw?\n | 1/272\n | ibivibiv/math_instruct | |
Sort 0.4, 337, -146018 in descending order.\n | 337, 0.4, -146018\n | ibivibiv/math_instruct | |
Which is bigger: -5926/655 or -9?\n | -9\n | ibivibiv/math_instruct | |
Let r = 9.66 + -9.96. What is the second biggest value in r, 1/2, 4, 65?\n | 4\n | ibivibiv/math_instruct | |
In base 9, what is -771 + -66?\n | -847\n | ibivibiv/math_instruct | |
What is the closest to 0.0016 in -1/4, 5/3, 101/3?\n | -1/4\n | ibivibiv/math_instruct | |
Let j = -125.8 - -126. Let g = 165/4 + -41. Put j, g, -2 in decreasing order.\n | g, j, -2\n | ibivibiv/math_instruct | |
Calculate the common denominator of -47/6297186 and -33/10.\n | 31485930\n | ibivibiv/math_instruct | |
What are the prime factors of 31302?\n | 2, 3, 37, 47\n | ibivibiv/math_instruct | |
Total of -4.45 and 23329247.4643.\n | 23329243.0143\n | ibivibiv/math_instruct | |
How many minutes are there between 8:07 AM and 7:46 PM?\n | 699\n | ibivibiv/math_instruct | |
What is 71732652 to the power of 1/2, to the nearest integer?\n | 8470\n | ibivibiv/math_instruct | |
What is 12/25 of a millennium in months?\n | 5760\n | ibivibiv/math_instruct | |
Solve -63*o + 5*x - 13 = -65*o, 17 = -5*o + 4*x for o.\n | -1\n | ibivibiv/math_instruct | |
Let o be 4 + 4 + (-9 - 1). Let y = -138 - -142. Sort y, o, -55 in descending order.\n | y, o, -55\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Average, spending, and pigeonhole principle proof question
There are $$n$$ days, and each day I spend $$x_i$$ dollars on the $$i$$ day. $$i\leq{n}$$. I spend nonnegative dollars per day (which could be 0 and possibly be a ... | Let us begin by discussing the problem at hand and its underlying concepts. We will provide detailed explanations and proofs while maintaining a formal and engaging tone. Our focus will be on rigorous development of ideas, illustrative examples, and direct application of mathematical principles.
Consider a scenario w... | ibivibiv/math_instruct | |
Let g(f) = 4*f**2 - 19*f + 92. List the prime factors of g(18).\n | 2, 523\n | ibivibiv/math_instruct | |
Is 3413 a factor of 304150176?\n | False\n | ibivibiv/math_instruct | |
List the prime factors of 58182820.\n | 2, 5, 2909141\n | ibivibiv/math_instruct | |
What is (-69 + 31425/450)*3/(-190)?\n | -1/76\n | ibivibiv/math_instruct | |
Suppose -6 + 2 = -2*c. Let n(l) = 2*l**2 - 3*l + 2. Let p be n(2). Suppose -p*r = -0*r - 8. Calculate the remainder when c is divided by r.\n | 0\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"##### Browse Questions
• Arts (2180)
• Education (489)
• English Language Arts (21216)
• Ethics (48)
• Foreign Languages (151)
• Health (3303)
• Math (12196)
• ### Polynomials and Rational Expressions
• #### Trigonometry
•... | Now let's dive into the fascinating world of exponential numbers, focusing on how they appear in grade 10 mathematics. We will cover two main topics: converting regular numbers to scientific notation and vice versa, followed by performing calculations with exponents.
Numbers are often expressed in scientific notation... | ibivibiv/math_instruct | |
Two letters picked without replacement from qsayaaqsascsaqesa. Give prob of picking 1 a and 1 c.\n | 3/68\n | ibivibiv/math_instruct | |
Collect the terms in 9*u - 6*u - 2*u - 5*u + 6*u.\n | 2*u\n | ibivibiv/math_instruct | |
Factor -f**3 - 446*f**2 + 6472*f + 14720.\n | -(f - 16)*(f + 2)*(f + 460)\n | ibivibiv/math_instruct | |
Let n = -29475 - -29475.000013973. Round n to 6 decimal places.\n | 0.000014\n | ibivibiv/math_instruct | |
Let h(o) = -o + 7. Let g be (-6)/(-9) - 4/(-3). Suppose 2 = -p - n, 0 = 5*p - g*p + 2*n + 1. Give h(p).\n | 4\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-15.675 - (88.844 % -49.015) | -6.4890 | ibivibiv/math_instruct | |
-18d0 (base 14) to base 15\n | -14e9\n | ibivibiv/math_instruct | |
Let b(q) be the second derivative of -43*q**3 + 33*q**2 + q + 37. Let i(g) = 2*g**2 + 514*g - 132. Let t(u) = -9*b(u) - 4*i(u). Factor t(s).\n | -2*(s - 33)*(4*s - 1)\n | ibivibiv/math_instruct | |
What is 11111011 (base 2) in base 4?\n | 3323\n | ibivibiv/math_instruct | |
Expand 1 - 2*m**4 - 1 + (m**2 + 2*m**3 - m**2)*(-4*m + 0*m + 3*m) + m**4 - 7691*m + 7691*m + 33.\n | -3*m**4 + 33\n | ibivibiv/math_instruct | |
Let t be (-13 + 11)/((2/5)/(-1)). Suppose -g + 5*c = -220, -2*c + 0*c + 1046 = t*g. List the prime factors of g.\n | 2, 3, 5, 7\n | ibivibiv/math_instruct | |
Let -2*g**4 + 328580*g**3 - 17994245592*g**2 + 328484953062908*g - 328466959145894 = 0. What is g?\n | 1, 54763\n | ibivibiv/math_instruct | |
Expand (-20*f**4 + 37*f - 36*f - 33*f**4)*(-4*f + 3*f + 3*f).\n | -106*f**5 + 2*f**2\n | ibivibiv/math_instruct | |
Let c(i) = 6*i**2. Let j(q) = 41*q**2. Calculate j(c(n)).\n | 1476*n**4\n | ibivibiv/math_instruct | |
Express -1664*l + 1500*l + 5471*l + 8732*l + 2318*l in the form w*l + s and give w.\n | 16357\n | ibivibiv/math_instruct | |
Calculate 2 divided by -279170.\n | -1/139585\n | ibivibiv/math_instruct | |
Calculate (-1*2/(-10))/(35/25).\n | 1/7\n | ibivibiv/math_instruct | |
What is the fourth smallest value in 494, -10, -0.05, 0.2, 3, -4, 4/7?\n | 0.2\n | ibivibiv/math_instruct | |
Let h(j) = j**2 - 5*j - 8. Let s(g) = -2*g**2 + 6*g + 9. Let v(r) = -6*h(r) - 5*s(r). Let t(i) = -i**2 - 1. Determine 3*t(w) + v(w).\n | w**2\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.