instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Calculate the remainder when 2523709 is divided by 7.\n | 6\n | ibivibiv/math_instruct | |
Is 334 a factor of 158674382?\n | True\n | ibivibiv/math_instruct | |
Put -158, -5, -9, 0 in decreasing order.\n | 0, -5, -9, -158\n | ibivibiv/math_instruct | |
Let i(w) = 20*w**2 + 3*w - 9. Let k(t) = -40*t**2 - 7*t + 19. Let m(z) = 9*i(z) + 4*k(z). Is m(-4) a prime number?\n | False\n | ibivibiv/math_instruct | |
What is the common denominator of 4/207705 and 24/41995?\n | 7685085\n | ibivibiv/math_instruct | |
What is the millions digit of 1813667837?\n | 3\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 124 and 80721086.\n | 62\n | ibivibiv/math_instruct | |
-85.9305757+-68501\n | -68586.9305757\n | ibivibiv/math_instruct | |
Is -2 less than -1155/2246?\n | True\n | ibivibiv/math_instruct | |
Let n = -14341 + -17959. What is n rounded to the nearest ten thousand?\n | -30000\n | ibivibiv/math_instruct | |
What comes next: -111, -98, -85, -72, -59, -46?\n | -33\n | ibivibiv/math_instruct | |
How many litres are there in 0.7780318 millilitres?\n | 0.0007780318\n | ibivibiv/math_instruct | |
Solve -55 + 79 = 6*b for b.\n | 4\n | ibivibiv/math_instruct | |
Is 3250543 prime?\n | False\n | ibivibiv/math_instruct | |
Let x = 115 + -115.00000176. What is x rounded to 6 decimal places?\n | -0.000002\n | ibivibiv/math_instruct | |
What is 1106 divided by -1?\n | -1106\n | ibivibiv/math_instruct | |
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 8 cm. What is the length of the wire? | To find the length of the wire, we need to equate the volume of the metallic sphere to the volume of the wire, since the volume remains constant during the transformation from the sphere to the wire.
The volume of a sphere is given by the formula:
\[ V_{sphere} = \frac{4}{3} \pi r_{sphere}^3 \]
where \( r_{sphere} \) ... | ibivibiv/math_instruct | |
What is prob of sequence dfi when three letters picked without replacement from uukikkddfdfkdfeudid?\n | 2/323\n | ibivibiv/math_instruct | |
In base 3, what is 10012 + -2202210?\n | -2122121\n | ibivibiv/math_instruct | |
What is 26.2475l in millilitres?\n | 26247.5\n | ibivibiv/math_instruct | |
List the prime factors of 1885633.\n | 1885633\n | ibivibiv/math_instruct | |
Let d = -66 + 76. Let p be ((-30)/(-125)*-5)/(4/d). Let u = -18/5 + 16/5. Which is the third smallest value? (a) 1 (b) u (c) p\n | a\n | ibivibiv/math_instruct | |
Let h be 4/12 - 44/(-3). Suppose 4 = i, -4*k + 2*i + 33 = -h. Let l = 33 - k. Is l a composite number?\n | False\n | ibivibiv/math_instruct | |
Let y(m) = -22*m**3 - 4*m**2 - 6*m + 16. Let g be (-8)/(-60) + -11*(-219)/495. Let j(c) = -7*c**3 - c**2 - 2*c + 5. Determine g*y(x) - 16*j(x).\n | 2*x**3 - 4*x**2 + 2*x\n | ibivibiv/math_instruct | |
What is -21012 (base 3) in base 10?\n | -194\n | ibivibiv/math_instruct | |
Rearrange (207288*y**2 + 31 + 94 - 40 - 37 - 48)*(6 - 3 - 2) to n*y**2 + k + f*y and give n.\n | 207288\n | ibivibiv/math_instruct | |
Let a = 1/860 - -26537/105780. What is the common denominator of -47/12 and a?\n | 492\n | ibivibiv/math_instruct | |
Let v(r) be the first derivative of 3*r**4/4 - r + 5. Let x = -105 + 104. Determine v(x).\n | -4\n | ibivibiv/math_instruct | |
Suppose -40010*l = -40073*l + 189. Let j = 3 + -2. Solve 0 = 3*o - 5*z + 3 - j, 0 = l*z - 3 for o.\n | 1\n | ibivibiv/math_instruct | |
Rearrange c**2 + c**3 - 42*c + 23*c - 1 + 21*c + c**3 + 2*c**4 to the form w*c**4 + p*c**2 + i*c**3 + l + g*c and give l.\n | -1\n | ibivibiv/math_instruct | |
Let s(d) = 3*d - 1. Determine s(3).\n | 8\n | ibivibiv/math_instruct | |
Which is smaller: -1 or -7/1171914?\n | -1\n | ibivibiv/math_instruct | |
List the prime factors of 4428939484.\n | 2, 17, 461, 141283\n | ibivibiv/math_instruct | |
Let z(u) = u**3 + 13*u**2 + 9*u - 49. Let i(c) = -3*c**3 - 40*c**2 - 25*c + 147. Let s(w) = -2*i(w) - 7*z(w). Let b be s(-9). Solve 2*j - 6 = b for j.\n | 5\n | ibivibiv/math_instruct | |
Find the third derivative of 10440749*x**5 - 2*x**4 + 286084045*x**2.\n | 626444940*x**2 - 48*x\n | ibivibiv/math_instruct | |
List the prime factors of 126331.\n | 19, 61, 109\n | ibivibiv/math_instruct | |
List the prime factors of 141480.\n | 2, 3, 5, 131\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-36.9803 / (-27.2388 % -30.1729) | 1.3576 | ibivibiv/math_instruct | |
What is one sixteenth of a kilogram in milligrams?\n | 62500\n | ibivibiv/math_instruct | |
What is 77 (base 8) in base 12?\n | 53\n | ibivibiv/math_instruct | |
Let h = 22127 - 9555. List the prime factors of h.\n | 2, 7, 449\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {f: 8, h: 5}. What is prob of picking 1 h and 1 f?\n | 20/39\n | ibivibiv/math_instruct | |
-13 * -2378\n | 30914\n | ibivibiv/math_instruct | |
Let q(j) = 2*j - 3. Suppose 3*d - p = 73, -4*d = p - 111 + 9. Suppose -6*z + d = -z. What is q(z)?\n | 7\n | ibivibiv/math_instruct | |
What is 4/(-5)*(11/22 - -7)?\n | -6\n | ibivibiv/math_instruct | |
Sort -10, 945, -4, -14 in decreasing order.\n | 945, -4, -10, -14\n | ibivibiv/math_instruct | |
Find the second derivative of 2*u**5 - 1549*u**3 + 3234*u wrt u.\n | 40*u**3 - 9294*u\n | ibivibiv/math_instruct | |
What are the prime factors of 3504893134?\n | 2, 23, 619, 123091\n | ibivibiv/math_instruct | |
Suppose -804 = -361*w - 41*w. Solve 0 = -w*z + 3*z - 64*z for z.\n | 0\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 3523968 and 13440?\n | 17619840\n | ibivibiv/math_instruct | |
Is 163844587 composite?\n | False\n | ibivibiv/math_instruct | |
Find b, given that -4*b**2 - 13724*b + 27464 = 0.\n | -3433, 2\n | ibivibiv/math_instruct | |
Convert 716.9303us to nanoseconds.\n | 716930.3\n | ibivibiv/math_instruct | |
How many centimeters are there in 19391.02 micrometers?\n | 1.939102\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 13304 and 44.\n | 146344\n | ibivibiv/math_instruct | |
In base 8, what is 11145 + 5?\n | 11152\n | ibivibiv/math_instruct | |
What is 528 minutes before 7:11 PM?\n | 10:23 AM\n | ibivibiv/math_instruct | |
Solve 3*q + 8*n - 7*n - 5 = 0, -2*q - n = -4 for q.\n | 1\n | ibivibiv/math_instruct | |
Calculate 5 + 9 + -15 + 7.\n | 6\n | ibivibiv/math_instruct | |
-48 - (-123 + (71 - -29))\n | -25\n | ibivibiv/math_instruct | |
Let u(k) be the second derivative of k**8/5040 - k**7/1260 + k**5/180 - k**4/72 - k**3/2 + k. Let i(n) be the second derivative of u(n). Factor i(m).\n | (m - 1)**3*(m + 1)/3\n | ibivibiv/math_instruct | |
Suppose 0 = -4*s + s - 12. Let c = s + 8. What is the units digit of (-14)/(-18) - c/(-18)?\n | 1\n | ibivibiv/math_instruct | |
Suppose 0 = 3*c - c - 12. Let m = -4 + c. Find the second derivative of -4*p**4 - 5*p + m*p**4 + 4*p wrt p.\n | -24*p**2\n | ibivibiv/math_instruct | |
Rearrange 48 - 48 + 27*j + 14*j to the form q*j + a and give q.\n | 41\n | ibivibiv/math_instruct | |
What is -1 (base 16) in base 7?\n | -1\n | ibivibiv/math_instruct | |
What is the value of (-28)/(-207) - (-28)/322?\n | 2/9\n | ibivibiv/math_instruct | |
What is the square root of 25355847 to the nearest integer?\n | 5035\n | ibivibiv/math_instruct | |
Let j(k) = -568*k - 22. Let n be j(9). Does 28 divide (-6)/(-3) + n/(-17)?\n | False\n | ibivibiv/math_instruct | |
Find the common denominator of -2/2793 and -86/5187.\n | 36309\n | ibivibiv/math_instruct | |
What is 292 minutes after 2:01 PM?\n | 6:53 PM\n | ibivibiv/math_instruct | |
Let s = 118 - 108. Suppose -1 = -s*r + 49. Solve -4*o + r*o + 5 = 0 for o.\n | -5\n | ibivibiv/math_instruct | |
Expand (-4*f - 1 + 1)*((0*f**3 - 3*f**3 + 4*f**3)*(-4*f - 2*f + 5*f) + (111*f**2 - 111*f**2 - 27*f**3)*(4 - 4 + f)*(44 + 7 + 2) - 2*f**4 + 4*f**4 + 0*f**4).\n | 5720*f**5\n | ibivibiv/math_instruct | |
What is 1864613 to the power of 1/3, to the nearest integer?\n | 123\n | ibivibiv/math_instruct | |
What is the greatest common factor of 1296 and 8748?\n | 324\n | ibivibiv/math_instruct | |
Let g = -745 + 3723/5. Put -0.5, 1/162, g in descending order.\n | 1/162, g, -0.5\n | ibivibiv/math_instruct | |
Two letters picked without replacement from eowaadeaxaowowawaa. Give prob of sequence ad.\n | 7/306\n | ibivibiv/math_instruct | |
What is 6 + (7 + -13 + -8 - 0)?\n | -8\n | ibivibiv/math_instruct | |
Let a(h) = -2*h**2 + h + 5. What is a(-4)?\n | -31\n | ibivibiv/math_instruct | |
b"What is the rth term of 962, 1937, 2868, 3761, 4622?\n" | r**3 - 28*r**2 + 1052*r - 63\n | ibivibiv/math_instruct | |
List the prime factors of 106608.\n | 2, 3, 2221\n | ibivibiv/math_instruct | |
What are the prime factors of 143155?\n | 5, 28631\n | ibivibiv/math_instruct | |
Let o be 645358/5208 + 2/(-4)*2/(-4). Is o smaller than 124?\n | False\n | ibivibiv/math_instruct | |
-2 * 1.3125485\n | -2.625097\n | ibivibiv/math_instruct | |
Let y(m) = -m**3 + m**2 - 2*m - 1. Let b(d) = -415*d**3 + 123*d**2 + 6*d + 2. Let k(s) = -b(s) - 2*y(s). Find the third derivative of k(n) wrt n.\n | 2502\n | ibivibiv/math_instruct | |
Four letters picked without replacement from ytoyuoku. Give prob of sequence ooyu.\n | 1/210\n | ibivibiv/math_instruct | |
Solve 5*h - 29 = 3*n, -12*h + 21 = -3*n - 9*h for n.\n | -3\n | ibivibiv/math_instruct | |
How many litres are there in 7561.541ml?\n | 7.561541\n | ibivibiv/math_instruct | |
Are 72401968 and -0.2 unequal?\n | True\n | ibivibiv/math_instruct | |
Let z(a) = 2*a**3 - 27*a**2 + 12*a + 17. Let q be z(13). Let r be (-3)/(6/q)*527/62. Which is smaller: -15 or r?\n | r\n | ibivibiv/math_instruct | |
Express -16*h + 20 - 11 - 6 - 4*h**3 - 4 in the form v*h + i*h**2 + g + m*h**3 and give v.\n | -16\n | ibivibiv/math_instruct | |
What is k in -11*k**4/2 - 10335*k**3 - 84379*k**2/2 - 3750*k = 0?\n | -1875, -4, -1/11, 0\n | ibivibiv/math_instruct | |
Let r(x) = -x**2 + 6*x - 4. Suppose q - 22 = 5*m + 10, 5*m = -25. Let n = q + -3. Suppose n*p = 10 + 6. Determine r(p).\n | 4\n | ibivibiv/math_instruct | |
Let x(q) = 2*q**2 + 4. Let y(m) = 3824 - 11*m**2 - 3824. Calculate y(x(g)).\n | -44*g**4 - 176*g**2 - 176\n | ibivibiv/math_instruct | |
Let n(a) = 26*a**2 - a + 1. Let j be n(1). Suppose 0 = -2*x - 2*m - j, -x + m - 6 = -1. Let o = x + 14. List the prime factors of o.\n | 5\n | ibivibiv/math_instruct | |
What is the value of 15*8/300*25/8?\n | 5/4\n | ibivibiv/math_instruct | |
What is prob of picking 2 o and 1 y when three letters picked without replacement from {y: 2, t: 10, j: 1, o: 2, v: 1}?\n | 1/280\n | ibivibiv/math_instruct | |
Express -10*m**4 + 18*m**4 - 12*m**4 - 9*m**3 + m**2 + 3*m**3 as d + a*m**4 + x*m + c*m**2 + r*m**3 and give c.\n | 1\n | ibivibiv/math_instruct | |
Differentiate 2959587*l**2 + 17*l - 275124766 wrt l.\n | 5919174*l + 17\n | ibivibiv/math_instruct | |
Suppose 0 = p - 3*h - 14, -h = -5*p - 2*h + 6. Let t = -3 + -1. Let c be -4*(-2)/t*-2. Solve -5*i + 0*u - c*u - 36 = 0, 8 = -p*u for i.\n | -4\n | ibivibiv/math_instruct | |
What is prob of sequence wuu when three letters picked without replacement from {w: 2, u: 4, h: 2}?\n | 1/14\n | ibivibiv/math_instruct |
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