instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Simplify t*t/t**(2/37)*t**13 assuming t is positive.\n | t**(553/37)\n | ibivibiv/math_instruct | |
What are the prime factors of 30941?\n | 30941\n | ibivibiv/math_instruct | |
Solve -33 + 20 + 25 + 15*w**3 - 12*w**2 - 15*w = 0 for w.\n | -1, 4/5, 1\n | ibivibiv/math_instruct | |
How many minutes are there between 1:10 PM and 2:17 PM?\n | 67\n | ibivibiv/math_instruct | |
Let k = -15 - -14.9. What is the second smallest value in 3, k, -1/7, 0.3?\n | k\n | ibivibiv/math_instruct | |
Two letters picked without replacement from abbabbbbbbbb. Give prob of sequence aa.\n | 1/66\n | ibivibiv/math_instruct | |
Let x(p) = -p**3 - 10*p**2 - 6*p - 5. What is x(-8)?\n | -85\n | ibivibiv/math_instruct | |
Let c = 347 + -274. What is the remainder when 583 is divided by c?\n | 72\n | ibivibiv/math_instruct | |
Factor -3*o**3/2 - 15963*o**2/2 - 22818705*o/2 - 4132239825/2.\n | -3*(o + 211)*(o + 2555)**2/2\n | ibivibiv/math_instruct | |
Calculate prob of sequence rr when two letters picked without replacement from {r: 2, m: 7}.\n | 1/36\n | ibivibiv/math_instruct | |
What is the third smallest value in 0.2, -2/3, 3003, -5/2, -3/4?\n | -2/3\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {a: 1, r: 4, c: 3, k: 1, v: 4, w: 1}. What is prob of picking 1 v and 1 w?\n | 4/91\n | ibivibiv/math_instruct | |
What is the tenth root of 524636 to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
List the prime factors of 71980.\n | 2, 5, 59, 61\n | ibivibiv/math_instruct | |
b"What is the wth term of -1890, -1911, -1956, -2031, -2142, -2295?\n" | -w**3 - 6*w**2 + 4*w - 1887\n | ibivibiv/math_instruct | |
Let m be (-2 - 189/(-18))*2. Solve 0 = 2*f + 3*o - m, -4*o - o + 15 = 0 for f.\n | 4\n | ibivibiv/math_instruct | |
Let i(d) = 204*d**2 + 1. Suppose 38 = -5*o + 23. Let p be i(o). Suppose 7*s + p = 5736. Is s a composite number?\n | False\n | ibivibiv/math_instruct | |
What is 61.711369 take away -3.35?\n | 65.061369\n | ibivibiv/math_instruct | |
Let q = 9 + -7. Suppose -h = 2*u - 2, 3*h + 10 = u - 5. Suppose -q - u = t, 5*n - 210 = -2*t. What is the tens digit of n?\n | 4\n | ibivibiv/math_instruct | |
Rearrange -3 + u**2 + u + 5*u + 6*u**2 + 4 to the form q*u + a*u**2 + x and give q.\n | 6\n | ibivibiv/math_instruct | |
Let n(r) = -r**3 - 40*r**2 - 4*r - 147. Let i be n(-40). Calculate the highest common factor of 923 and i.\n | 13\n | ibivibiv/math_instruct | |
Let k(w) be the third derivative of w**6/120 - 5*w**4/12 + 2*w**2. What is the second derivative of k(b) wrt b?\n | 6*b\n | ibivibiv/math_instruct | |
Rearrange -2 - 285*p**2 - 2*p + 4*p - 7*p**3 + 153*p**2 + 147*p**2 - 4*p to n + a*p + q*p**2 + j*p**3 and give n.\n | -2\n | ibivibiv/math_instruct | |
3035 divided by -607\n | -5\n | ibivibiv/math_instruct | |
Convert 1 (base 15) to base 14.\n | 1\n | ibivibiv/math_instruct | |
Is 45 a factor of 126674?\n | False\n | ibivibiv/math_instruct | |
Collect the terms in o + 30 + 12*o + o - 13*o - 3*o.\n | -2*o + 30\n | ibivibiv/math_instruct | |
What is the value of 1 - ((-4 - -2) + (-1 - -4))?\n | 0\n | ibivibiv/math_instruct | |
Let s(m) = 2*m. Suppose -5*k + 8 = -2. Let p(v) be the second derivative of k*v + 0*v**2 + 0 + 0*v**3 + 1/3*v**4. Determine p(s(i)).\n | 16*i**2\n | ibivibiv/math_instruct | |
Suppose o = -3*o + 400. What is the remainder when o is divided by 22?\n | 12\n | ibivibiv/math_instruct | |
Solve -399 = 11*h - 740 for h.\n | 31\n | ibivibiv/math_instruct | |
Let z = 17.56 - 17.6. Sort 5, 0, z in ascending order.\n | z, 0, 5\n | ibivibiv/math_instruct | |
Let s(l) be the first derivative of 1/5*l**2 - 1/10*l**4 - 70 + 0*l + 0*l**3. Factor s(w).\n | -2*w*(w - 1)*(w + 1)/5\n | ibivibiv/math_instruct | |
Suppose 0 = -83*z - 40904 + 275960. List the prime factors of z.\n | 2, 3, 59\n | ibivibiv/math_instruct | |
What is 43370 divided by 8674?\n | 5\n | ibivibiv/math_instruct | |
Expand (4 - 5 + 2 + (1 - 3 + 1)*(3 - 1 - 16))*(0*y - y + 3*y)*(-3 + 2 + 0) - y - 4*y + 3*y.\n | -32*y\n | ibivibiv/math_instruct | |
Does 563 divide 195293299?\n | False\n | ibivibiv/math_instruct | |
Factor 2*f**2/7 - 454*f/7 + 452/7.\n | 2*(f - 226)*(f - 1)/7\n | ibivibiv/math_instruct | |
Is 328822961 prime?\n | True\n | ibivibiv/math_instruct | |
Let j(v) be the first derivative of v**6 + 14*v**5/15 - 11*v**4/6 - 14*v**3/9 + 2*v**2/3 - 11. Let j(p) = 0. Calculate p.\n | -1, 0, 2/9, 1\n | ibivibiv/math_instruct | |
Total of -7.17599583191 and 0.034.\n | -7.14199583191\n | ibivibiv/math_instruct | |
What is 11100 (base 2) in base 3?\n | 1001\n | ibivibiv/math_instruct | |
How many nanograms are there in 7654.323 micrograms?\n | 7654323\n | ibivibiv/math_instruct | |
Simplify ((-6*sqrt(170)*2)/sqrt(10)*-3)**2 + -5.\n | 22027\n | ibivibiv/math_instruct | |
Expand -62*q**2 + 8*q**2 - 36*q**2 - 6*q - 5*q**2 + 6*q + 3*q**2 - 4*q**2 - q**2 - q**2 + q**2 - q**2 + (-4 + 6 - 1)*(0*q**2 - q**2 + 0*q**2).\n | -99*q**2\n | ibivibiv/math_instruct | |
Let u(l) = l**3 - 21*l**2 + 3*l + 33. Calculate the least common multiple of 50 and u(23).\n | 5800\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 2557521974 and 8842.\n | 8842\n | ibivibiv/math_instruct | |
Let b(y) = 109*y**3 - 206312*y**2 - 47323*y - 3793. Give b(1893).\n | -7\n | ibivibiv/math_instruct | |
Is 246866 composite?\n | True\n | ibivibiv/math_instruct | |
Solve 320*r - 196 = 654*r - 327*r for r.\n | -28\n | ibivibiv/math_instruct | |
Let o(h) = -831*h**3 - 6*h**2 - 12*h - 28. Is o(-5) a composite number?\n | True\n | ibivibiv/math_instruct | |
Let k(o) = 13*o + 617. Give k(-73).\n | -332\n | ibivibiv/math_instruct | |
Is 36529 a multiple of 6?\n | False\n | ibivibiv/math_instruct | |
(24/(-10))/(82/205)\n | -6\n | ibivibiv/math_instruct | |
Let s(o) = -o**2 + 37*o + 379. Let a be s(-9). Let l be (-31)/2*(2 + 0). Let y = l - a. Solve -y*b = -b for b.\n | 0\n | ibivibiv/math_instruct | |
Let b(j) = 6*j - 21. Let d be b(4). Is 8 a factor of 285/d + 2 + -3?\n | False\n | ibivibiv/math_instruct | |
What is the value of (3 + 61 - (-3 - 5)) + -3 - (3 - 10)?\n | 76\n | ibivibiv/math_instruct | |
Let b = -6 - -9. Suppose -3*i = -2*u + 4, 0 = -3*u + b*i - 5*i + 6. Suppose -2*w**u + w**4 + w**2 + w**3 - 5*w**5 + 4*w**5 = 0. What is w?\n | -1, 0, 1\n | ibivibiv/math_instruct | |
What is the fifth biggest value in 27, -3/32, 0.5, -0.2, -34?\n | -34\n | ibivibiv/math_instruct | |
Suppose 0 = c + 2*c - 15. Let s(n) = -6*n - n + c*n. Let v(a) = 3*a**2. Give s(v(r)).\n | -6*r**2\n | ibivibiv/math_instruct | |
Round 0.0009871 to 5 decimal places.\n | 0.00099\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# What is the degree of the differential equation $$\rm y\left(\dfrac{dy}{dx}\right)^{3} = x \dfrac{d^2y}{dx^2}$$?
This question was previously asked in
Airforce Group X 7 November 2020 Memory Based Paper
View all Airforce G... | A differential equation is a mathematical equation that relates some function with its derivatives. The order of a differential equation is defined as the order of the highest derivative present in the equation, while the degree of a differential equation is the power of the highest order derivative when the equation ... | ibivibiv/math_instruct | |
Let z(p) = -8*p + 10. Let k be z(4). Let b = -7 - k. Let q(t) = 35*t**3 - 15*t**2 + 15*t + 15. Let m(g) = -9*g**3 + 4*g**2 - 4*g - 4. What is b*m(w) + 4*q(w)?\n | 5*w**3\n | ibivibiv/math_instruct | |
Let w(r) = -2*r + 11. Let l = -7077 - -7084. What is w(l)?\n | -3\n | ibivibiv/math_instruct | |
Rearrange 7*c**3 - 204 + 2*c - 21*c**3 + 202 + 4*c**2 - 2*c to q*c + o*c**2 + h + m*c**3 and give h.\n | -2\n | ibivibiv/math_instruct | |
Expand -32*i**2 - 34*i**2 + 57*i**2 + (1 + i - 1)*(i - i - i) + 2*i**2 - 2 + 2 + 3*i**2 - 3*i**2 - 2*i**2 + (-5*i + 3*i + 0*i)*(3 - 3 + i).\n | -12*i**2\n | ibivibiv/math_instruct | |
What is the third derivative of 11423*m**3*w - 3*m**3 + 8*m**2*w + 1223*m**2 wrt m?\n | 68538*w - 18\n | ibivibiv/math_instruct | |
Calculate the remainder when 1533012 is divided by 32.\n | 20\n | ibivibiv/math_instruct | |
Is 56001973 a composite number?\n | True\n | ibivibiv/math_instruct | |
What is 0.474 plus 10280202775?\n | 10280202775.474\n | ibivibiv/math_instruct | |
How many minutes are there between 9:36 AM and 7:45 PM?\n | 609\n | ibivibiv/math_instruct | |
What are the prime factors of 227514601?\n | 71, 907, 3533\n | ibivibiv/math_instruct | |
b"What is the uth term of -27717, -55477, -83223, -110949, -138649, -166317, -193947?\n" | u**3 + u**2 - 27770*u + 51\n | ibivibiv/math_instruct | |
Let k = -194771 + 66855. Is -10*10/(-75) - k/12 prime?\n | False\n | ibivibiv/math_instruct | |
Evaluate (4/(-21))/(((-88)/(-220))/(3/(-5))).\n | 2/7\n | ibivibiv/math_instruct | |
Let g(t) = -9*t**3 - 35*t**2 - 94*t - 11. Let f(v) = -5*v**3 - 18*v**2 - 48*v - 4. Let s(h) = -7*f(h) + 4*g(h). Give s(-10).\n | -16\n | ibivibiv/math_instruct | |
What is the fifth root of 276306 to the nearest integer?\n | 12\n | ibivibiv/math_instruct | |
Let p = 5885/2 - 11769/4. Factor -7*d**2 + 9*d + 9/4*d**3 - 4 - p*d**4.\n | -(d - 4)*(d - 2)**2*(d - 1)/4\n | ibivibiv/math_instruct | |
Which is the nearest to -1? (a) -6/7 (b) -222 (c) 3 (d) -0.7 (e) -2/49\n | a\n | ibivibiv/math_instruct | |
Let q be (0 - -1)*2 - -37. Let i be (84/(-49))/(1/(-168)). Suppose -v - q = -i. Is v prime?\n | False\n | ibivibiv/math_instruct | |
What is the value of -11*(5/(-75))/((-9)/27)?\n | -11/5\n | ibivibiv/math_instruct | |
What is the fourth smallest value in -17/2, 4, 11, 3629?\n | 3629\n | ibivibiv/math_instruct | |
How many minutes are there between 4:15 AM and 3:46 PM?\n | 691\n | ibivibiv/math_instruct | |
Which is greater: 4 or 109/32?\n | 4\n | ibivibiv/math_instruct | |
What is (-4)/(-9)*(2 - (-5)/(-2))?\n | -2/9\n | ibivibiv/math_instruct | |
Let v(c) be the third derivative of -1/135*c**5 + 2/9*c**3 + 0 + 5/108*c**4 - 42*c**2 - 1/540*c**6 - c. Factor v(q).\n | -2*(q - 2)*(q + 1)*(q + 3)/9\n | ibivibiv/math_instruct | |
Calculate the common denominator of -29/1899 and -91/135.\n | 28485\n | ibivibiv/math_instruct | |
What is -2 plus 2399.460915?\n | 2397.460915\n | ibivibiv/math_instruct | |
Calculate the remainder when 7336 is divided by 112.\n | 56\n | ibivibiv/math_instruct | |
Suppose -u + 0*u = -514. Let h be (-4)/14 - 9915/(-35) - -3. Suppose -2*k = -h - u. Round k to the nearest 100.\n | 400\n | ibivibiv/math_instruct | |
Suppose 2*g - 4 = 12. Suppose -84*h = -88*h + g. Factor -6/5*k - 9/5*k**h + 0 - 3/5*k**3.\n | -3*k*(k + 1)*(k + 2)/5\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) 2 (b) 0.04 (c) -0.2 (d) -1/3 (e) -3 (f) 2/9\n | a\n | ibivibiv/math_instruct | |
How many minutes are there between 11:49 AM and 10:13 PM?\n | 624\n | ibivibiv/math_instruct | |
What is prob of sequence bb when two letters picked without replacement from {a: 5, b: 7, h: 4}?\n | 7/40\n | ibivibiv/math_instruct | |
What is 20000 (base 3) in base 12?\n | 116\n | ibivibiv/math_instruct | |
What is the thousands digit of 7539791?\n | 9\n | ibivibiv/math_instruct | |
Suppose -4*w = -p - 12, 4*w = -p + 6*w - 4. What is the nearest to 1/13 in p, -4, 0?\n | 0\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {c: 6, f: 7}. Give prob of picking 1 f and 1 c.\n | 7/13\n | ibivibiv/math_instruct | |
Calculate the common denominator of -80/1326171 and -43/378906.\n | 2652342\n | ibivibiv/math_instruct | |
1414148 divided by -1\n | -1414148\n | ibivibiv/math_instruct |
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