instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Calculate 2*-0.40862.\n | -0.81724\n | ibivibiv/math_instruct | |
How many months are there in 5/4 of a millennium?\n | 15000\n | ibivibiv/math_instruct | |
Let z = 13 - 9. Suppose z = -n + 9. Solve -r + n*t = r - 17, r = -4*t - 24 for r.\n | -4\n | ibivibiv/math_instruct | |
What is the cube root of 202023542 to the nearest integer?\n | 587\n | ibivibiv/math_instruct | |
In base 5, what is 11 + 3122304422?\n | 3122304433\n | ibivibiv/math_instruct | |
Calculate prob of sequence gv when two letters picked without replacement from gdtmgmvq.\n | 1/28\n | ibivibiv/math_instruct | |
Solve 96*p = 92*p + 8 for p.\n | 2\n | ibivibiv/math_instruct | |
Let k = -9 - -5. Let q be 1 + -1 + (0 - k). Suppose 0 = -7105*p + 7121*p - 110 - 98. Which is the second smallest value? (a) p (b) q (c) 0.2\n | b\n | ibivibiv/math_instruct | |
b"What is the dth term of 1442, 3820, 6198, 8576?\n" | 2378*d - 936\n | ibivibiv/math_instruct | |
Let j = 0.1 - 0.2. Let u = -205/104 - -17/8. Which is the nearest to 0.6? (a) j (b) u (c) -2/5\n | b\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {q: 4, l: 10, j: 6}. Give prob of picking 2 l and 2 j.\n | 45/323\n | ibivibiv/math_instruct | |
Which is greater: -249067 or -252905?\n | -249067\n | ibivibiv/math_instruct | |
What is the thousands digit of 9277?\n | 9\n | ibivibiv/math_instruct | |
What is the third derivative of k*o**3 + 4*k*o**2*w + 492*k*w**4 - 227*k*w**2 + 2*o**3*w**3 + 7*o*w**4 wrt w?\n | 11808*k*w + 12*o**3 + 168*o*w\n | ibivibiv/math_instruct | |
Let g = 293/110 + -26/11. Find the common denominator of 51/5 and g.\n | 10\n | ibivibiv/math_instruct | |
Let h be (-9)/(-12) - 45/(-20). Suppose h*j + j = 2*j. Suppose 2*o - 82 - 24 = j. Is o prime?\n | True\n | ibivibiv/math_instruct | |
Expand 0*w**3 + 2*w**3 + 0*w**3 + (-2 + 1 + 5)*(-2 + 2 + w**3).\n | 6*w**3\n | ibivibiv/math_instruct | |
Let u(i) = 2*i**2 + 3*i + 5. Let s be u(-1). Sort -5, s, -1.\n | -5, -1, s\n | ibivibiv/math_instruct | |
What is the highest common factor of 51762 and 270?\n | 6\n | ibivibiv/math_instruct | |
Is 67597373 a prime number?\n | True\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Here be Dragons - The Interesting Realm of Floating Point Operations
Published on March 30, 2014 by
In every programmer’s life there comes a time when he has to leave the realm of integers and tread into the dangerous lan... | Floating point operations are an essential aspect of modern computing, yet they can be fraught with difficulties and complexities that often catch programmers off guard. Unlike integer arithmetic, where values are exact and predictable, floating point operations involve approximations of real numbers that can lead to ... | ibivibiv/math_instruct | |
Is 135372918307 composite?\n | True\n | ibivibiv/math_instruct | |
What is 697 minutes before 2:08 AM?\n | 2:31 PM\n | ibivibiv/math_instruct | |
Let u(d) = 813339*d**2. Let x(w) = -2*w**2. Calculate u(x(i)).\n | 3253356*i**4\n | ibivibiv/math_instruct | |
Suppose 5*c + 3*g - 751 = 0, 4*c + 3*g - 447 = c. Suppose -149 + c = p. Let n(b) = b**2 - b - 3. Let m(s) = -s - 4. Give p*m(v) - 4*n(v).\n | -4*v**2 + v\n | ibivibiv/math_instruct | |
What is the units digit of 1085?\n | 5\n | ibivibiv/math_instruct | |
Solve 5*s - 5*k + 105 = 0, -16*s - 102*k + 123 = -12*s - 97*k for s.\n | 2\n | ibivibiv/math_instruct | |
Which is smaller: 53/30981 or -1?\n | -1\n | ibivibiv/math_instruct | |
What is the result of the following expression?
26.2339 * 9.5274 | 249.9409 | ibivibiv/math_instruct | |
Calculate (-28)/(-8)*8/182.\n | 2/13\n | ibivibiv/math_instruct | |
Let b be 10*((-66)/24 - -3) - 241243/38. Do -6345 and b have different values?\n | True\n | ibivibiv/math_instruct | |
Is 2149995139 composite?\n | False\n | ibivibiv/math_instruct | |
What is the fifth smallest value in 1, -36, 4/3, -6, 0.5, -44?\n | 1\n | ibivibiv/math_instruct | |
Suppose -4*n + 7 + 15 = 2*s, 0 = 3*n + 3*s - 24. Let 5/2*m - 3*m**n - m**2 - 1/2*m**4 + 3/2 + 1/2*m**5 = 0. What is m?\n | -1, 1, 3\n | ibivibiv/math_instruct | |
Let k be ((-8)/(-6))/((-81)/((-5346)/(-220))). What is the closest to -1/6 in -3, k, -1/7?\n | -1/7\n | ibivibiv/math_instruct | |
Collect the terms in 14*k**2 - 5*k**2 - 10*k**2.\n | -k**2\n | ibivibiv/math_instruct | |
Let h(k) = 40*k**3 + 3*k - 2. What is the units digit of h(1)?\n | 1\n | ibivibiv/math_instruct | |
21*-0.53902\n | -11.31942\n | ibivibiv/math_instruct | |
Solve 20 = 2*w + 2*k, -3*k + 29 = -2*w + 19 for w.\n | 4\n | ibivibiv/math_instruct | |
Let q(o) = o + 7. Let p be (-1)/2 + 13/(-2). Let n be q(p). What is the second derivative of -2*r + 0*r + n*r**5 - r**5 - r**5 wrt r?\n | -40*r**3\n | ibivibiv/math_instruct | |
Which is the nearest to 2? (a) 11 (b) 0.4 (c) 2\n | c\n | ibivibiv/math_instruct | |
Suppose 3*m - 2*i = 57 + 14, 22 = m - i. What is the tens digit of m?\n | 2\n | ibivibiv/math_instruct | |
Add -2649 and -21.024740053.\n | -2670.024740053\n | ibivibiv/math_instruct | |
Suppose 3*i - 303 = -5*q, 188*i = 184*i + 3*q + 346. Solve -i*m + 122*m + 31 = 0 for m.\n | -1\n | ibivibiv/math_instruct | |
Let x(g) = g**2 - 12*g - 7. Let s be x(3). What is the units digit of (-3)/(6/s)*23?\n | 1\n | ibivibiv/math_instruct | |
Let u = -78 + 87. What is the greatest common factor of 54 and u?\n | 9\n | ibivibiv/math_instruct | |
Let s be (6/(-7))/((-4)/84). Is s at most -1?\n | False\n | ibivibiv/math_instruct | |
Express ((3 - 2 - 3)*(57 + 18 - 4) - 3 + 0 + 1)*(3 - 5 + 3)*(1 - 2 + 6)*(-5*h + 2*h + h) in the form y + k*h and give y.\n | 0\n | ibivibiv/math_instruct | |
Rearrange -22*y - 4*y**3 + 22*y + y**2 - 2*y**4 to z*y + i*y**3 + a + k*y**2 + p*y**4 and give k.\n | 1\n | ibivibiv/math_instruct | |
List the prime factors of (-7 + (-676)/(-28))/((-1)/(-7)).\n | 2, 3, 5\n | ibivibiv/math_instruct | |
-25091533.575 - 2.3\n | -25091535.875\n | ibivibiv/math_instruct | |
What is 12.361 rounded to zero dps?\n | 12\n | ibivibiv/math_instruct | |
Is 11 a factor of 258436222?\n | True\n | ibivibiv/math_instruct | |
Let f = -183 - -343. What is the highest common factor of f and 30?\n | 10\n | ibivibiv/math_instruct | |
Is 5/2406 at least 0?\n | True\n | ibivibiv/math_instruct | |
List the prime factors of 339627793.\n | 19, 1997, 8951\n | ibivibiv/math_instruct | |
What is next in 952125, 1904248, 2856371, 3808494, 4760617, 5712740?\n | 6664863\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 x, 1 c, and 1 q when three letters picked without replacement from {q: 1, b: 1, c: 3, x: 2}.\n | 6/35\n | ibivibiv/math_instruct | |
What is the third biggest value in 5, -2, 2, -1, 0.029?\n | 0.029\n | ibivibiv/math_instruct | |
Collect the terms in -3031537 - 3031539 - 4*a + 9094617 - 3031541.\n | -4*a\n | ibivibiv/math_instruct | |
Let h be (-1)/(4 + 63/(-15)). Let v(i) = -157*i**2 + 5 - h + 107*i**2. Let q(j) = j. Give v(q(y)).\n | -50*y**2\n | ibivibiv/math_instruct | |
Let h be 34/51 + (-12404)/(-6). Suppose 176 = -4*d + h. Let j(v) = -473*v - 21*v**2 + d*v. Let r(n) = -n**2. Give r(j(b)).\n | -441*b**4\n | ibivibiv/math_instruct | |
Let o(n) = -54*n**2 + 1 + 14*n - 51*n**2 - 54*n**2 + 164*n**2. Is o(-18) a prime number?\n | False\n | ibivibiv/math_instruct | |
Let q be 10/((209/(-11))/(-38)). Solve 5*g = 5*p - q, -29*g + 4*p = -34*g + 16 for g.\n | 0\n | ibivibiv/math_instruct | |
Let v(n) = 60*n**2 + 30*n + 10. Is 85 a factor of v(-5)?\n | True\n | ibivibiv/math_instruct | |
Round -20.19 to zero decimal places.\n | -20\n | ibivibiv/math_instruct | |
Which is the closest to -15? (a) 79 (b) -12 (c) -4 (d) -0.2 (e) -48 (f) 1\n | b\n | ibivibiv/math_instruct | |
Let v(t) be the second derivative of t**11/3465 + t**7/360 + t**4/4 + 18*t. Let s(k) be the third derivative of v(k). Find the third derivative of s(o) wrt o.\n | 1920*o**3\n | ibivibiv/math_instruct | |
4 divided by 192\n | 1/48\n | ibivibiv/math_instruct | |
Calculate -236072667 divided by -1.\n | 236072667\n | ibivibiv/math_instruct | |
Calculate 45588944 + 0.008.\n | 45588944.008\n | ibivibiv/math_instruct | |
Is 8161579 a composite number?\n | False\n | ibivibiv/math_instruct | |
Find the third derivative of -238454*g**5 - 2*g**4 + 2*g**3 + 17*g**2 + 8215*g + 1 wrt g.\n | -14307240*g**2 - 48*g + 12\n | ibivibiv/math_instruct | |
Let r(s) be the first derivative of s**5/135 - 13*s**4/27 + 338*s**3/27 + 23*s**2 + 55. Let j(x) be the second derivative of r(x). Factor j(a).\n | 4*(a - 13)**2/9\n | ibivibiv/math_instruct | |
Expand (-3*y + y - 5*y**2 - 2*y**2)*(2*y**2 + y - y) + 0*y + 0*y + y**4 + 0*y**4 + y**4 + 2*y**4 + (0*y + 2*y - 4*y)*(-2*y**3 + y - y).\n | -6*y**4 - 4*y**3\n | ibivibiv/math_instruct | |
Let j(z) be the first derivative of -3/2*z**2 + 2*z - 1/4*z**4 + 5/3*z**3 + 2. Let i be j(3). What is the greatest common factor of 77 and i?\n | 11\n | ibivibiv/math_instruct | |
Let w = -2643 - -2384.1. Let z = -259 - w. Which is smaller: 13 or z?\n | z\n | ibivibiv/math_instruct | |
Calculate the remainder when 573 is divided by 64.\n | 61\n | ibivibiv/math_instruct | |
Let g = -14 + 8. Let s = -4 - g. What is the third biggest value in -2, 1/4, s?\n | -2\n | ibivibiv/math_instruct | |
What is -4 less than -343124726970?\n | -343124726966\n | ibivibiv/math_instruct | |
What is the value of 129 + (-21 - (0 - 1 - (164 + -161)))?\n | 112\n | ibivibiv/math_instruct | |
b"What is the th term of -14, -15, -16, -17, -18?\n" | -b - 13\n | ibivibiv/math_instruct | |
63430460 (base 7) to base 5\n | 2333300444\n | ibivibiv/math_instruct | |
-155 divided by -40\n | 31/8\n | ibivibiv/math_instruct | |
Let u = 11.5 + -0.5. Let f = u - 10.9. Let p be (-2)/4*12/(-27). Is p bigger than f?\n | True\n | ibivibiv/math_instruct | |
In base 7, what is -135 - 1250066?\n | -1250234\n | ibivibiv/math_instruct | |
What is 211 (base 5) in base 10?\n | 56\n | ibivibiv/math_instruct | |
What is the second biggest value in -5, -1238371, -5/28?\n | -5\n | ibivibiv/math_instruct | |
b"What is the vth term of 1198354, 1198366, 1198378?\n" | 12*v + 1198342\n | ibivibiv/math_instruct | |
Is 1938449 composite?\n | False\n | ibivibiv/math_instruct | |
Let v(a) = -a**2 + a + 1. Let q be (-28)/(-20) + 10/(-25). Let d(i) = -4*i**2 + 3*i + 5. What is q*d(f) - 5*v(f)?\n | f**2 - 2*f\n | ibivibiv/math_instruct | |
-59a (base 12) to base 5\n | -11323\n | ibivibiv/math_instruct | |
What comes next: -380772, -380773, -380774?\n | -380775\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) -90 (b) 20 (c) -1 (d) 1/8 (e) -3/7 (f) 30\n | a\n | ibivibiv/math_instruct | |
Let k = 43.665 - 3.005. Let j = k - 41. Let n = j + -0.16. Sort n, -5, 3.\n | -5, n, 3\n | ibivibiv/math_instruct | |
Factor 4*u**3/5 + 35673784*u**2/5 + 71347556*u/5 + 35673776/5.\n | 4*(u + 1)**2*(u + 8918444)/5\n | ibivibiv/math_instruct | |
Expand (3*b**4 - 3*b**4 - 2*b**4)*(0*b + 3*b - 2*b) + 4*b**4 - 4*b**4 - 6*b**5 + 0*b**5 - 3*b**5 + b**5.\n | -10*b**5\n | ibivibiv/math_instruct | |
What is the value of -6*7/(-42) + 4?\n | 5\n | ibivibiv/math_instruct | |
Let h(j) = 2*j - 5. Suppose 0 = 7*p + 8 + 27. Determine h(p).\n | -15\n | ibivibiv/math_instruct | |
Let g(l) be the second derivative of 10*l**5 - 454*l**2 + 2*l + 331. What is the derivative of g(r) wrt r?\n | 600*r**2\n | ibivibiv/math_instruct |
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