instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose -5*i + 3*b + 189 = 0, -72 = -4*i - 3*b + 63. What is the remainder when i is divided by 8?\n | 4\n | ibivibiv/math_instruct | |
Let i(a) = -a**3 - 2*a**2 - 6*a - 3. Determine i(-4).\n | 53\n | ibivibiv/math_instruct | |
Let y(n) = 4 - 9 + 5 - n + 9. What is y(5)?\n | 4\n | ibivibiv/math_instruct | |
Let p(b) be the first derivative of b**6/540 + b**5/60 + b**4/18 - 5*b**3/3 + 2. Let h(s) be the third derivative of p(s). Factor h(r).\n | 2*(r + 1)*(r + 2)/3\n | ibivibiv/math_instruct | |
Suppose -6920 = 7*p - 27*p. Let i = p - 125. Calculate the greatest common factor of i and 34.\n | 17\n | ibivibiv/math_instruct | |
Let g(a) = -17*a**2. Let h(q) = -4 - q**2 + 4. Calculate g(h(s)).\n | -17*s**4\n | ibivibiv/math_instruct | |
What is the hundreds digit of 46879358?\n | 3\n | ibivibiv/math_instruct | |
Solve 0 = -10*z - 269 + 259 for z.\n | -1\n | ibivibiv/math_instruct | |
What is 1170957598 to the power of 1/9, to the nearest integer?\n | 10\n | ibivibiv/math_instruct | |
Let k(l) = l**3 - 4*l**2 + 4*l - 4. What is the remainder when 21 is divided by k(4)?\n | 9\n | ibivibiv/math_instruct | |
Let w = 1929364354/1504901 + -47436/37. Is w bigger than 0?\n | False\n | ibivibiv/math_instruct | |
Let y = -3.1 - -47.1. Let q = y + 6. Let i = -49.6 + q. What is the third smallest value in 1/4, i, 1/6?\n | i\n | ibivibiv/math_instruct | |
Calculate (32/(-8))/(7/((-21)/(-2))).\n | -6\n | ibivibiv/math_instruct | |
Let u = 5.3 - 2.1. Let k = -7 - -10. Let q = u - k. Which is the second biggest value? (a) 1 (b) 0.3 (c) q\n | b\n | ibivibiv/math_instruct | |
Mary earns $20 washing cars and some money walking dogs each month. If she puts half of that money away each month, it would take her 5 months to save $150. How much does Mary earn walking dogs each month? | Let's denote the amount Mary earns walking dogs each month as D.
Mary saves half of her total earnings each month. Her total earnings include $20 from washing cars and D from walking dogs. So, her total earnings each month are $20 + D.
Half of her total earnings is saved, so the amount saved each month is (1/2) * ($2... | ibivibiv/math_instruct | |
b"What is the hth term of -28557, -28272, -27765, -27012, -25989, -24672, -23037?\n" | 4*h**3 + 87*h**2 - 4*h - 28644\n | ibivibiv/math_instruct | |
Let r = 614 - 559.1. Let n = r + -55. Which is the third biggest value? (a) n (b) -2 (c) 3/10\n | b\n | ibivibiv/math_instruct | |
What is prob of sequence kkqk when four letters picked without replacement from kkkfkffq?\n | 1/70\n | ibivibiv/math_instruct | |
Suppose c + 2*c - 48 = 0. Suppose -5*y + c = -24. Solve -11 = 4*o + l + y, -l = -1 for o.\n | -5\n | ibivibiv/math_instruct | |
Let l(n) = 40*n - 4. Let b(a) = 20*a - 2. Determine 5*b(r) - 2*l(r).\n | 20*r - 2\n | ibivibiv/math_instruct | |
Factor 996*c**2 - 39135*c - 9846.\n | 3*(4*c + 1)*(83*c - 3282)\n | ibivibiv/math_instruct | |
Subtract 2850.169 from -2966.\n | -5816.169\n | ibivibiv/math_instruct | |
What is the tens digit of 55809?\n | 0\n | ibivibiv/math_instruct | |
Solve -3*k = -4*v - 19, 27*k - 24*k + 27*v + 2 = -10 for k.\n | 5\n | ibivibiv/math_instruct | |
What is 31020332302 (base 4) in base 11?\n | 1a43028\n | ibivibiv/math_instruct | |
What is 876670 rounded to the nearest 100000?\n | 900000\n | ibivibiv/math_instruct | |
Let u(j) = -24*j**2. Let x(l) = -498*l. What is x(u(o))?\n | 11952*o**2\n | ibivibiv/math_instruct | |
Let l(o) = o**2 + 2. Let c be l(-2). Suppose 2*t - 4*n + 15 = t, 0 = -2*t - n + c. Let x(h) = 10*h. Give x(t).\n | 10\n | ibivibiv/math_instruct | |
Calculate (-2 - 2)/(((-93)/4)/(1392/(-3712))).\n | -2/31\n | ibivibiv/math_instruct | |
Let q = -410 - -438. Suppose -q*l - 28868 = -56*l. List the prime factors of l.\n | 1031\n | ibivibiv/math_instruct | |
What is the second derivative of -2583*d**4*k**3 - 5*d*k**3 - 7*d wrt d?\n | -30996*d**2*k**3\n | ibivibiv/math_instruct | |
Calculate the remainder when 295 is divided by (1668/(-1529))/((-5)/165).\n | 7\n | ibivibiv/math_instruct | |
b"What is the ath term of 58, 104, 150, 196, 242?\n" | 46*a + 12\n | ibivibiv/math_instruct | |
Is 3 a factor of 1661?\n | False\n | ibivibiv/math_instruct | |
Simplify (sqrt(125) - (sqrt(125) + 1)) + -3 + 1*(sqrt(10)/(sqrt(2) + sqrt(6)/sqrt(3)))**2 + -4.\n | -27/4\n | ibivibiv/math_instruct | |
Expand (-1 + 1 + 2)*(-8*j + 8*j - 10*j).\n | -20*j\n | ibivibiv/math_instruct | |
What is 103 minutes before 8:23 AM?\n | 6:40 AM\n | ibivibiv/math_instruct | |
What is 45102.47ml in litres?\n | 45.10247\n | ibivibiv/math_instruct | |
Let r be (4/(-5))/1*(-30)/12. Suppose 2*n + 2*p + 14 = 0, -11*n = -14*n + 4*p + 7. Sort n, r, -7, 4 in decreasing order.\n | 4, r, n, -7\n | ibivibiv/math_instruct | |
What is 0.308 + -0.27167981?\n | 0.03632019\n | ibivibiv/math_instruct | |
b"What is the mth term of 584642448, 1169284895, 1753927342?\n" | 584642447*m + 1\n | ibivibiv/math_instruct | |
Four letters picked without replacement from ycbcbsnn. Give prob of picking 1 n, 1 y, 1 s, and 1 b.\n | 2/35\n | ibivibiv/math_instruct | |
Two letters picked without replacement from ffbblbvoofoobo. What is prob of picking 1 v and 1 b?\n | 4/91\n | ibivibiv/math_instruct | |
Let d(h) = h**3 - 20*h**2 - 21*h - 81. Let f be d(21). Let o = f + 152. What is the units digit of o?\n | 1\n | ibivibiv/math_instruct | |
What is the product of 3 and -194164?\n | -582492\n | ibivibiv/math_instruct | |
What is the tens digit of 7265650?\n | 5\n | ibivibiv/math_instruct | |
Evaluate (6/(12/10))/4.\n | 5/4\n | ibivibiv/math_instruct | |
Work out 2.5 * 5410.8.\n | 13527\n | ibivibiv/math_instruct | |
Are 53 and 488/9 equal?\n | False\n | ibivibiv/math_instruct | |
(-1*2/(-8))/((-28)/42)\n | -3/8\n | ibivibiv/math_instruct | |
Which is smaller: -2/15 or -9.2?\n | -9.2\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 30766?\n | 3\n | ibivibiv/math_instruct | |
Solve -9649 = -344*l - 1020*l + 35363 for l.\n | 33\n | ibivibiv/math_instruct | |
Let l(u) = 2*u - 10. Let b be l(-5). Let i = 55 + b. Is i prime?\n | False\n | ibivibiv/math_instruct | |
163 divided by 3\n | 163/3\n | ibivibiv/math_instruct | |
Do 0 and -2/453 have the same value?\n | False\n | ibivibiv/math_instruct | |
Let a = -57 - -63. Sort a, -0.5, 5 in descending order.\n | a, 5, -0.5\n | ibivibiv/math_instruct | |
Which is smaller: 2241 or 4155?\n | 2241\n | ibivibiv/math_instruct | |
What is prob of sequence bc when two letters picked without replacement from {c: 4, b: 3, h: 1, u: 6}?\n | 6/91\n | ibivibiv/math_instruct | |
Let s = -40.1 + 44. Let u = 8 - 4. Let b = s - u. Sort 0.5, -2, b in increasing order.\n | -2, b, 0.5\n | ibivibiv/math_instruct | |
Let k = 612 + -587. Solve 0 = -6*b + 5 + k for b.\n | 5\n | ibivibiv/math_instruct | |
What is the nearest to 1/9 in -5, -0.2, -0.3?\n | -0.2\n | ibivibiv/math_instruct | |
Let v(l) = -6*l - 22. Suppose 2*u + 5 - 2 = -5*x, -4*u = -2*x + 42. What is the tens digit of v(u)?\n | 3\n | ibivibiv/math_instruct | |
Solve 2154*d - 572 = 2102*d for d.\n | 11\n | ibivibiv/math_instruct | |
Let i(y) = -7*y + 9. Let d(k) = -3*k + 4. Calculate -5*d(w) + 2*i(w).\n | w - 2\n | ibivibiv/math_instruct | |
What is the derivative of 4227*g**4 + 2036*g**3 + 17925415?\n | 16908*g**3 + 6108*g**2\n | ibivibiv/math_instruct | |
Express (5*d**3 + 7*d**2 - 7*d**2)*(-2 - 1 + 2) - d**3 + 4 - 4 + 3*d**2 as s*d + t + r*d**3 + z*d**2 and give z.\n | 3\n | ibivibiv/math_instruct | |
Let y = -18.14 - -18. Let w = -0.04 - y. Which is bigger: -0.3 or w?\n | w\n | ibivibiv/math_instruct | |
Evaluate (143*7/91)/(2*35/20).\n | 22/7\n | ibivibiv/math_instruct | |
Simplify ((i/(i*i**7/i))/i*i**3)**(-2/73)/(((i/(i**(-5)*i))/i*i/((i*i**(2/9))/i))/(i**(-1))**(-2/133)) assuming i is positive.\n | i**(-406597/87381)\n | ibivibiv/math_instruct | |
Four letters picked without replacement from wgggwgg. Give prob of picking 4 g.\n | 1/7\n | ibivibiv/math_instruct | |
Let z = -11 - -579. List the prime factors of z.\n | 2, 71\n | ibivibiv/math_instruct | |
What is the value of 0 + -92 + -1 - (-136 + 103 - -16)?\n | -76\n | ibivibiv/math_instruct | |
Suppose 3*w + 11*x = 6*x - 14, -5*w - 3*x - 18 = 0. Let b be (-3 - -2) + w - -1. Let r(t) = 3*t + 1. Calculate r(b).\n | -8\n | ibivibiv/math_instruct | |
Let q be (-6)/(-9)*48/(-32). What is the closest to q in -5, -3/2, -6/5, 0.02?\n | -6/5\n | ibivibiv/math_instruct | |
What is 6b4 (base 12) in base 15?\n | 46a\n | ibivibiv/math_instruct | |
What is -144923050.3 + -1.3?\n | -144923051.6\n | ibivibiv/math_instruct | |
What is the third biggest value in 0.1, 0, -4, -2, 64, 1/4?\n | 0.1\n | ibivibiv/math_instruct | |
Let t = -1512 + 7441/5. Let v = t + 24. Which is the nearest to -1? (a) -2 (b) v (c) -0.2\n | c\n | ibivibiv/math_instruct | |
Let f(n) = -207627*n + 2906772. Determine f(14).\n | -6\n | ibivibiv/math_instruct | |
What are the prime factors of 3177337663?\n | 47, 67602929\n | ibivibiv/math_instruct | |
Suppose 4 = -44*w + 40*w. Suppose 0 = -3*j + 2*h - 6*h - 3, -3*j + 5*h + 24 = 0. Suppose j*y = y + 4. Which is bigger: y or w?\n | y\n | ibivibiv/math_instruct | |
List the prime factors of 2798.\n | 2, 1399\n | ibivibiv/math_instruct | |
What is the least common multiple of 552952 and 552952?\n | 552952\n | ibivibiv/math_instruct | |
Let f(i) be the first derivative of -i**8/1176 - i**7/735 + i**2 + 3. Let m(l) be the second derivative of f(l). Factor m(q).\n | -2*q**4*(q + 1)/7\n | ibivibiv/math_instruct | |
Suppose -l - 2*w + 42 = 9, 4*l - w - 123 = 0. Calculate the highest common factor of l and 496.\n | 31\n | ibivibiv/math_instruct | |
b"What is the pth term of 434, 679, 934, 1205, 1498?\n" | p**3 - p**2 + 241*p + 193\n | ibivibiv/math_instruct | |
What is the value of -130 + (39 - -79) + (-1 - -13)?\n | 0\n | ibivibiv/math_instruct | |
Simplify ((s**1)**(3/10))**(-35)/((s**(1/3))**(-37)*s*s/s**(-2/9)*s*((s*s**(1/5)/s)/s*s)/s) assuming s is positive.\n | s**(-53/90)\n | ibivibiv/math_instruct | |
Which is smaller: -65 or -35?\n | -65\n | ibivibiv/math_instruct | |
Let y = 7 + -6.7. Let u be 10/95 + (-126)/114. Let d = -9.2 + 9. What is the second biggest value in d, u, y?\n | d\n | ibivibiv/math_instruct | |
What is the greatest common factor of 58 and 2726?\n | 58\n | ibivibiv/math_instruct | |
List the prime factors of 239100.\n | 2, 3, 5, 797\n | ibivibiv/math_instruct | |
Suppose -4*n**2 - n**3 + 2*n**2 - 144*n + 7*n**3 - 4*n**3 = 0. What is n?\n | -8, 0, 9\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {w: 10, g: 2}. Give prob of sequence www.\n | 6/11\n | ibivibiv/math_instruct | |
In base 5, what is 32033 - 2?\n | 32031\n | ibivibiv/math_instruct | |
Solve 2*q = h + 164 - 155, -2*q + 2*h + 14 = 0 for q.\n | 2\n | ibivibiv/math_instruct | |
Suppose 5*r - 4*l = 5482 - 439, -r - l = -1005. Is r a composite number?\n | True\n | ibivibiv/math_instruct | |
Rearrange -2*b - b**2 - 38*b**2 + 3*b + b + 2*b**3 to the form d*b**3 + a*b**2 + k + g*b and give d.\n | 2\n | ibivibiv/math_instruct | |
Multiply -3499 and 0.077993.\n | -272.897507\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.