instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Work out 0.7 * 729038.\n | 510326.6\n | ibivibiv/math_instruct | |
What is -0.000118191769 rounded to 7 decimal places?\n | -0.0001182\n | ibivibiv/math_instruct | |
Suppose -3*q = -q - 10. Suppose 17 = -4*z + q*g, -8*g + 4*g + 12 = -4*z. Suppose 2*r - 3*k = 46, z*r - 5 = r - 3*k. What are the prime factors of r?\n | 17\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {j: 1, k: 2, e: 1, s: 1, q: 2, o: 1}. Give prob of sequence kok.\n | 1/168\n | ibivibiv/math_instruct | |
Let q be (108/630)/((-6)/(-14)). Which is the closest to -2/13? (a) 1/6 (b) q (c) 1/11 (d) 1\n | c\n | ibivibiv/math_instruct | |
Is 4664297387 a composite number?\n | False\n | ibivibiv/math_instruct | |
Let t be (35/(-2) + 2)/((-2)/(-4)). Let v = t - -26. Let o(b) = 4*b + 7. What is o(v)?\n | -13\n | ibivibiv/math_instruct | |
Solve -y - 9 = 0, -3*y = -3*i - 1352 + 1367 for i.\n | -4\n | ibivibiv/math_instruct | |
In the hyperbola \[\frac{(x-3)^2}{5^2} - \frac{(y-17)^2}{12^2} = 1\], there are two foci with different x-coordinates. Determine the coordinates of the focus with the larger x-coordinate. | The standard form of a hyperbola centered at $(h, k)$ is \[\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1,\] where $a$ is the distance from the center to each vertex and $c$ is the distance from the center to each focus. In this case, the center is $(3, 17)$, so $h = 3$ and $k = 17$. We have $a = 5$ and $b = 12$. The di... | ibivibiv/math_instruct | |
Express 5669 - a - 4*a**2 - 2837 - 2831 - 2*a**4 as p + l*a + h*a**4 + s*a**3 + m*a**2 and give p.\n | 1\n | ibivibiv/math_instruct | |
What is the smallest value in 26, -2, -0.935, 5?\n | -2\n | ibivibiv/math_instruct | |
Suppose 50944 = 4*w - 4*s, -w + 2*s + 50934 = 3*w. Is w a composite number?\n | True\n | ibivibiv/math_instruct | |
Which is the fifth biggest value? (a) -45 (b) 2/9 (c) -2 (d) 2/11 (e) -59 (f) 1\n | a\n | ibivibiv/math_instruct | |
Solve -94*q + 7*t - 2*t - 126 = -111*q, q = 425*t - 424*t + 10 for q.\n | 8\n | ibivibiv/math_instruct | |
Determine a so that -3*a**2 - 144*a - 645 = 0.\n | -43, -5\n | ibivibiv/math_instruct | |
Suppose -3*b + 3 + 0 = 0. Is -5/13 smaller than b?\n | True\n | ibivibiv/math_instruct | |
Solve 22*a = -40*a + 7*a - 275 for a.\n | -5\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 779536 and 2324.\n | 332\n | ibivibiv/math_instruct | |
Convert 20.13783 grams to micrograms.\n | 20137830\n | ibivibiv/math_instruct | |
Solve -3*m - 53 = -23 for m.\n | -10\n | ibivibiv/math_instruct | |
Let m = 10 - 7. Suppose -a + 2*u = -3*a + 4, -9 = -m*u. Let k(q) = -15*q**3. List the prime factors of k(a).\n | 3, 5\n | ibivibiv/math_instruct | |
Let q(p) be the first derivative of 52*p**3/3 + p**2/2 + 3*p - 14. Is q(-2) prime?\n | False\n | ibivibiv/math_instruct | |
What is 120 minutes after 9:56 PM?\n | 11:56 PM\n | ibivibiv/math_instruct | |
1*-1210745\n | -1210745\n | ibivibiv/math_instruct | |
How many microseconds are there in 3.090689s?\n | 3090689\n | ibivibiv/math_instruct | |
Which is the closest to -13? (a) -2.9 (b) -152.08 (c) -4\n | c\n | ibivibiv/math_instruct | |
Express -4*r**2 - 10*r**3 + 1 + 7*r**3 + 8*r**3 as v*r + j*r**3 + a*r**2 + c and give c.\n | 1\n | ibivibiv/math_instruct | |
Sum -2587766 and -0.08358.\n | -2587766.08358\n | ibivibiv/math_instruct | |
What is the third derivative of -121672*a**6 - a**2 - 17211*a?\n | -14600640*a**3\n | ibivibiv/math_instruct | |
What is prob of sequence tz when two letters picked without replacement from {g: 4, z: 11, t: 4}?\n | 22/171\n | ibivibiv/math_instruct | |
Let w(r) = -r**2 + 31*r - 23. Let u(n) = 14*n**3 + n**2 + n - 3. Let i be u(1). List the prime factors of w(i).\n | 211\n | ibivibiv/math_instruct | |
Let v(b) = -211*b + 13483. Calculate v(64).\n | -21\n | ibivibiv/math_instruct | |
What is the value of (-8)/(-1)*((-4)/12)/((-2)/(-6))?\n | -8\n | ibivibiv/math_instruct | |
Let g = 66725833/974 + -68507. What is the common denominator of -107/18 and g?\n | 8766\n | ibivibiv/math_instruct | |
Solve -2*j = -18, -4*a - 457*j - 25 = -458*j for a.\n | -4\n | ibivibiv/math_instruct | |
Let d be ((-430)/8)/(-1 - 21/(-28)). Suppose -4*z + 190 = -2*r, 0 = 5*z + 5*r - 30 - d. Let p(q) = -42*q**3 - z*q**3 + 99*q**3 + 2*q**2 - 1. Give p(-1).\n | -8\n | ibivibiv/math_instruct | |
What is the thousands digit of 88543?\n | 8\n | ibivibiv/math_instruct | |
Suppose 3*g - 12 = -3*b, 5*g - 20 + 4 = -3*b. Let c = 51 - 36. Suppose 5*j = 5*t - 50, -t + 4*j = -g*t - c. What is the units digit of t?\n | 5\n | ibivibiv/math_instruct | |
Is 1350229 a prime number?\n | True\n | ibivibiv/math_instruct | |
Is 24779279 a composite number?\n | True\n | ibivibiv/math_instruct | |
Suppose -8*d - 477 + 669 = 0. What is the remainder when 63 is divided by d?\n | 15\n | ibivibiv/math_instruct | |
Let r be 3/(-10)*-2 - 16/(-40). Let q(f) = 5*f**2 - 10*f + 5. Let b(s) = s**2 - s. Let i(h) = r*q(h) - 6*b(h). Give i(-5).\n | 0\n | ibivibiv/math_instruct | |
Let l(k) = 0 + 3*k + 2*k + 13*k**2 - 14*k**2 - 2. Let q be l(2). What is the third derivative of -6*o**4 - 2*o**2 - 8*o**4 + 3*o**q + 0*o**2 wrt o?\n | -264*o\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) -3 (b) -0.5 (c) -2/65 (d) -0.2\n | a\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-37.8591 / -26.6456) * 41.8141 | 59.4111 | ibivibiv/math_instruct | |
Suppose -8*a = -11*a + 72. Let r = a - 46. Let s = r + 53. List the prime factors of s.\n | 31\n | ibivibiv/math_instruct | |
Suppose -5063 = -5*v + 4*k, 5*v = 12*k - 10*k + 5069. What is the remainder when 2035 is divided by v?\n | 5\n | ibivibiv/math_instruct | |
Work out 0.1755987348 - -22.\n | 22.1755987348\n | ibivibiv/math_instruct | |
What is the third derivative of -93*m*x**4 + m*x**3 - 589807*m*x**2 - 33*x**4 - 80*x**3 + 2*x**2 wrt x?\n | -2232*m*x + 6*m - 792*x - 480\n | ibivibiv/math_instruct | |
Solve -32 = r - 33*t + 38*t, t + 4 = -r for r.\n | 3\n | ibivibiv/math_instruct | |
What are the prime factors of 17162?\n | 2, 8581\n | ibivibiv/math_instruct | |
Add together -50.8 and -4.3283.\n | -55.1283\n | ibivibiv/math_instruct | |
Collect the terms in 322*m**3 + 168*m**3 - 159*m**3.\n | 331*m**3\n | ibivibiv/math_instruct | |
Which is bigger: 22906/8085 or 4?\n | 4\n | ibivibiv/math_instruct | |
List the prime factors of 9949619.\n | 9949619\n | ibivibiv/math_instruct | |
Expand 2*l - 5*l + l + (-l + l - 3*l)*(6 - 2 - 3) + 4*l - 2*l - 5*l - 207*l - 172*l + 410*l.\n | 23*l\n | ibivibiv/math_instruct | |
What are the prime factors of 1854063?\n | 3, 68669\n | ibivibiv/math_instruct | |
Suppose -382*v = -383*v + 1. Let p(n) be the first derivative of n**4/2 + n**2/2 - n - 1. Calculate p(v).\n | 2\n | ibivibiv/math_instruct | |
Solve 0 = 3480*r - 3476*r - 16, -2*n - r - 6 = 0 for n.\n | -5\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {q: 4, b: 2, x: 4}. What is prob of picking 3 q and 1 b?\n | 4/105\n | ibivibiv/math_instruct | |
What is 780 to the power of 1/2, to the nearest integer?\n | 28\n | ibivibiv/math_instruct | |
Calculate 46 + (-45 + 21 - 1).\n | 21\n | ibivibiv/math_instruct | |
Is 1481971 a prime number?\n | True\n | ibivibiv/math_instruct | |
What is the square root of 16959 to the nearest integer?\n | 130\n | ibivibiv/math_instruct | |
Let l(a) = a**2 + 6*a + 7. Let n be l(-5). Suppose 5*p - n*o - 2429 = 0, 2*p - 2*o - 1133 + 165 = 0. Is p a prime number?\n | True\n | ibivibiv/math_instruct | |
In base 15, what is 4 - -d1?\n | d5\n | ibivibiv/math_instruct | |
Simplify (h**0)**(-7)*(h**4/h*h)/(h/((h/h**(-5)*h)/h)) assuming h is positive.\n | h**9\n | ibivibiv/math_instruct | |
What is the hundreds digit of 16930079?\n | 0\n | ibivibiv/math_instruct | |
How many millennia are there in 2442.912 years?\n | 2.442912\n | ibivibiv/math_instruct | |
-19 + (8 - -67 - (59 + -39))\n | 36\n | ibivibiv/math_instruct | |
What is 21/2 of a litre in millilitres?\n | 10500\n | ibivibiv/math_instruct | |
Is -7 < 0?\n | True\n | ibivibiv/math_instruct | |
What is next in 3492, 13999, 31524, 56067?\n | 87628\n | ibivibiv/math_instruct | |
What is the derivative of -1679*h + 333 wrt h?\n | -1679\n | ibivibiv/math_instruct | |
Rearrange 0*o**3 + o + 0*o**3 + 838*o**4 - 5*o**2 - 836*o**4 + o**3 to d*o**3 + n + b*o**2 + z*o**4 + m*o and give b.\n | -5\n | ibivibiv/math_instruct | |
Let c(s) be the second derivative of -s**3/3 - s**2/2 - s + 56. Let g(y) = 3*y + 2. Let p = 3 - -2. Let a(j) = p*g(j) + 7*c(j). Calculate a(-3).\n | 0\n | ibivibiv/math_instruct | |
Which is the nearest to 573? (a) -1 (b) 2/5 (c) -32/21\n | b\n | ibivibiv/math_instruct | |
Let c be 4/(((-1040)/39)/(-20)). Let l = 49 - 33. Solve 0*k = k - h, c*h - l = -k for k.\n | 4\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 43882 and 42106.\n | 74\n | ibivibiv/math_instruct | |
What is the highest common factor of 3576525960 and 3570?\n | 3570\n | ibivibiv/math_instruct | |
Solve q = -5*x + 15, 3*x + q - 6 - 1 = 0 for x.\n | 4\n | ibivibiv/math_instruct | |
Simplify 3*(sqrt(684)*2*-1 + sqrt(684))*-4.\n | 72*sqrt(19)\n | ibivibiv/math_instruct | |
What is the fourth smallest value in -3, -4, -2/9, 1, -0.42, -0.2?\n | -2/9\n | ibivibiv/math_instruct | |
Let u(i) = -32*i**2 + 95*i - 16. Let b(y) = -11*y**2 + 32*y - 6. Calculate -8*b(c) + 3*u(c).\n | -8*c**2 + 29*c\n | ibivibiv/math_instruct | |
Is 4363940 a multiple of 490?\n | True\n | ibivibiv/math_instruct | |
Expand (-3*j**2 - 3 + 3)*(2 - 2 - 1) + (-1082*j - 1030*j + 1774*j)*(1 - 2*j - 1).\n | 679*j**2\n | ibivibiv/math_instruct | |
Let k(z) = 6*z**2 - 3701*z + 1. What is k(0)?\n | 1\n | ibivibiv/math_instruct | |
Let r(a) = -2*a**3 + a**2 + a - 2. Let h(t) = 22*t**3 - 133*t**2 - 6*t + 13. Determine -h(k) - 6*r(k).\n | -10*k**3 + 127*k**2 - 1\n | ibivibiv/math_instruct | |
Let l = -7 + 9. Let f(w) = -4*w + 4*w - 2 - l*w. What is the units digit of f(-8)?\n | 4\n | ibivibiv/math_instruct | |
Subtract 64666 from 108369.205.\n | 43703.205\n | ibivibiv/math_instruct | |
Convert 4943.379mg to nanograms.\n | 4943379000\n | ibivibiv/math_instruct | |
Let q = -231 - -233. Let r(u) = -8*u**2 - u**2 - 2*u**q + 13*u**2 - 7*u**2. Let k(t) = 4*t**2 - 3. What is k(r(z))?\n | 100*z**4 - 3\n | ibivibiv/math_instruct | |
Let r(q) = -10*q**2 + 4*q + 11. What is r(-3)?\n | -91\n | ibivibiv/math_instruct | |
Is 169241 prime?\n | True\n | ibivibiv/math_instruct | |
Express 174*b - 1 - 174*b - 3 - b**3 in the form p*b + i*b**3 + g*b**2 + w and give i.\n | -1\n | ibivibiv/math_instruct | |
What is the value of (2 + (-16)/6)/(95/15)?\n | -2/19\n | ibivibiv/math_instruct | |
What is 374 minutes after 3:56 PM?\n | 10:10 PM\n | ibivibiv/math_instruct | |
Do -1643906 and -1643905 have different values?\n | True\n | ibivibiv/math_instruct | |
Is 374961 a prime number?\n | False\n | ibivibiv/math_instruct | |
What is 1159291 to the power of 1/5, to the nearest integer?\n | 16\n | ibivibiv/math_instruct |
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