instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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|---|---|---|---|
Let p(m) be the third derivative of 1/10*m**5 + 0 + 0*m**3 - 3*m**2 - 9/20*m**6 + 0*m**4 + 0*m + 81/140*m**7. Let p(u) = 0. What is u?\n | 0, 2/9\n | ibivibiv/math_instruct | |
Calculate 0 - (-7 + 1) - (-23 + 25).\n | 4\n | ibivibiv/math_instruct | |
Let m = 67 + -67. Let h be 1*m*(-2 - -1). Let z be ((-6)/(-4))/(2/4). Solve 4*i + z + 1 = h for i.\n | -1\n | ibivibiv/math_instruct | |
Let u = 108606 - 108605.9065245. Let i = u + 33.9062145. Let n = -34 + i. Round n to four dps.\n | -0.0003\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) 28 (b) 213 (c) -1/5\n | b\n | ibivibiv/math_instruct | |
How many meters are there in three fifths of a kilometer?\n | 600\n | ibivibiv/math_instruct | |
Find the first derivative of -183851*u**3 - 165199 wrt u.\n | -551553*u**2\n | ibivibiv/math_instruct | |
Let m(s) be the second derivative of 0*s**3 + 0 + 4*s - 13/2*s**2 - 5/24*s**4. Let z(w) be the first derivative of m(w). Let y(p) = 2*p**2. What is y(z(j))?\n | 50*j**2\n | ibivibiv/math_instruct | |
What is -221001.1183 rounded to the nearest 100?\n | -221000\n | ibivibiv/math_instruct | |
Let q = -15 + 15.5. Let t = -6.5 + q. Which is smaller: t or 0.1?\n | t\n | ibivibiv/math_instruct | |
What are the prime factors of 1029661?\n | 107, 9623\n | ibivibiv/math_instruct | |
Let y = -803/10 - -259/5. Suppose 3*a = -2*v - 30, -4*a + 7 + 4 = -3*v. Calculate the common denominator of v/12 + 6/88 and y.\n | 22\n | ibivibiv/math_instruct | |
Let n(q) = 96*q**2 - 16 - 81*q**2 + 49. Let p = 6173 + -6175. Let t(d) = d**2 + 2. What is p*n(v) + 33*t(v)?\n | 3*v**2\n | ibivibiv/math_instruct | |
What is the third derivative of 2*a**3*q**3 + 7799977*a**3*q**2 - 24*a**2*q**3 - 134778*q**3 wrt a?\n | 12*q**3 + 46799862*q**2\n | ibivibiv/math_instruct | |
Simplify (p**(-4))**(-2/31)/(p*p/p**(-2/9)*(p*p**(9/8)*p)/p) assuming p is positive.\n | p**(-9127/2232)\n | ibivibiv/math_instruct | |
Let b = 2590 - -4103. What is the thousands digit of b?\n | 6\n | ibivibiv/math_instruct | |
In base 16, what is -4 + -1f8e?\n | -1f92\n | ibivibiv/math_instruct | |
Is 1368 a multiple of 18?\n | True\n | ibivibiv/math_instruct | |
What is the ten millions digit of 211249730?\n | 1\n | ibivibiv/math_instruct | |
What is the first derivative of 1376*x**3 - 2*x**2 + 6*x + 17498 wrt x?\n | 4128*x**2 - 4*x + 6\n | ibivibiv/math_instruct | |
Convert -145b (base 12) to base 10.\n | -2375\n | ibivibiv/math_instruct | |
Round -34150.133 to the nearest 100.\n | -34200\n | ibivibiv/math_instruct | |
Simplify ((sqrt(30)/(-2*sqrt(10))*5)**2 - ((sqrt(3) - (sqrt(3) + sqrt(9)/sqrt(3))) + sqrt(3))*6*-2)*2.\n | 75/2\n | ibivibiv/math_instruct | |
What is 27591202 to the power of 1/3, to the nearest integer?\n | 302\n | ibivibiv/math_instruct | |
Expand (-1 - 1 + 4)*(g - 3 + 3) + 6*g - 2*g - 2*g + (-6*g - 46*g - 7*g)*(-3 + 2 + 0) + 4*g - 3*g + 16*g.\n | 80*g\n | ibivibiv/math_instruct | |
Is 3 less than or equal to 8/5?\n | False\n | ibivibiv/math_instruct | |
What are the prime factors of 2580317?\n | 167, 15451\n | ibivibiv/math_instruct | |
Simplify g**(-27)*(g/g**(5/3))/g assuming g is positive.\n | g**(-86/3)\n | ibivibiv/math_instruct | |
What is the tenth root of 28522 to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Collect the terms in -2*t**2 - 573 + 1156 - 583.\n | -2*t**2\n | ibivibiv/math_instruct | |
Convert 8174.941l to millilitres.\n | 8174941\n | ibivibiv/math_instruct | |
Express ((6 - 4 - 4)*(1 - 2 + 3) + 2 - 5 + 10 + 0 - 3 + 4)*(3*l - 2*l - 3*l)*(1 + 2 - 1)*(5*l + 3*l - 5*l)*(-2 + 0 + 1) in the form m + j*l**2 + z*l and give z.\n | 0\n | ibivibiv/math_instruct | |
Is 144023 composite?\n | True\n | ibivibiv/math_instruct | |
Let q = 35044.2 + -35044. What is the closest to 2 in 294, 5/4, q, -0.3?\n | 5/4\n | ibivibiv/math_instruct | |
Divide 53 by -22.\n | -53/22\n | ibivibiv/math_instruct | |
Suppose -5*r + r - 8 = 0. Does 15 divide (-47)/((r - 1)/3)?\n | False\n | ibivibiv/math_instruct | |
Let h be (7 - 6/(-2))/(-1). Let a(o) = o**3 + o**2 - 3*o + 3. Let g be a(-3). Let p be 7 + 5/(h/g). Solve p = 5*t - 5 for t.\n | 3\n | ibivibiv/math_instruct | |
How many minutes are there between 6:05 AM and 11:46 AM?\n | 341\n | ibivibiv/math_instruct | |
Let k(v) be the third derivative of 19*v**4/24 + 1441*v**2. Let l(u) = -26*u**2 + 2*u. Give k(l(j)).\n | -494*j**2 + 38*j\n | ibivibiv/math_instruct | |
Let j(b) = b**2 - 6*b. Let l be (-51)/(-9) - (-3)/9*1. Let o be j(l). Solve -4 = -2*p - o for p.\n | 2\n | ibivibiv/math_instruct | |
4b7fc (base 16) to base 9\n | 521174\n | ibivibiv/math_instruct | |
Let b be 145/3 + (-8)/(-12). Let w = b - 33. Suppose 0 = 5*j - 3 - 107. What is the smallest common multiple of w and j?\n | 176\n | ibivibiv/math_instruct | |
Suppose -618*g - 287 = -611*g. Let h be (1 - g)/1 + -7. Let k be -7*1*1*-1. Calculate the greatest common factor of h and k.\n | 7\n | ibivibiv/math_instruct | |
Let i = -4441 + 4457. What is the lowest common multiple of i and 144?\n | 144\n | ibivibiv/math_instruct | |
Solve p**3 - 81271*p**2/4 + 206400403*p/2 + 103205281/4 = 0 for p.\n | -1/4, 10159\n | ibivibiv/math_instruct | |
Let k be (-40)/(-300) + 32/(-15). Let a(w) = 2705*w**2 + 16*w + 26. Is a(k) composite?\n | True\n | ibivibiv/math_instruct | |
Simplify (-1*(sqrt(288) + 0) + -4)**2 + (sqrt(24)/(sqrt(84)/sqrt(7)) - (sqrt(12)/sqrt(2))/sqrt(3)).\n | 96*sqrt(2) + 304\n | ibivibiv/math_instruct | |
b"What is the tth term of 805, 1609, 2413, 3217, 4021?\n" | 804*t + 1\n | ibivibiv/math_instruct | |
Put 1, 2, -18456 in increasing order.\n | -18456, 1, 2\n | ibivibiv/math_instruct | |
List the prime factors of 395906.\n | 2, 7, 28279\n | ibivibiv/math_instruct | |
What is 2670/(-356)*(-30)/9*(-3)/(-135)?\n | 5/9\n | ibivibiv/math_instruct | |
Is 169123 composite?\n | True\n | ibivibiv/math_instruct | |
Convert 244 (base 7) to base 3.\n | 11211\n | ibivibiv/math_instruct | |
Let n = -38 - -41. Solve -n = -r, 0*y - 4*r + 16 = -2*y for y.\n | -2\n | ibivibiv/math_instruct | |
Solve -82*m + 518703 = 3914*m + 677*m for m.\n | 111\n | ibivibiv/math_instruct | |
Let d(i) = 2*i**2 + 3*i + 3. Let a(g) = 3 - 4*g**2 - 3*g - 10 - 4*g. Let q(k) = 5*k + 13. Let y be q(-5). Let b = y - -5. What is b*d(m) - 3*a(m)?\n | -2*m**2\n | ibivibiv/math_instruct | |
Calculate 3/((-11)/(484/(-18)))*(-42)/28.\n | -11\n | ibivibiv/math_instruct | |
Let a = -2587 - -9643. Is 14 a factor of a?\n | True\n | ibivibiv/math_instruct | |
Express (2*y + 0*y - y)*(6 - 2 - 5) + (2 + 1 + 1)*(24*y - 22*y - 31*y) in the form i*y + z and give i.\n | -117\n | ibivibiv/math_instruct | |
Suppose l + 5*h + 7 = 0, -2*h + h - 8 = -2*l. Sort l, 115, 5 in descending order.\n | 115, 5, l\n | ibivibiv/math_instruct | |
List the prime factors of 1019809761.\n | 3, 4217, 80611\n | ibivibiv/math_instruct | |
What is 166 minutes before 1:08 AM?\n | 10:22 PM\n | ibivibiv/math_instruct | |
Suppose m = 2*j + 10, -j - 3*m - 14 = m. Let o = j + 4. What is the units digit of 1/o - 7/(-2)?\n | 3\n | ibivibiv/math_instruct | |
Let z(j) = -17*j + 6. Give z(-4).\n | 74\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Comparing distribution of vectors with different length?
I have two vectors of different length, each vector contains similarity scores. I need to plot the probabilty density function of the scores in both vectors to compa... | When comparing the distribution of two vectors with different lengths, a common challenge arises due to the differing number of data points. As stated in the text snippet, these vectors contain similarity scores, which are presumably continuous values. The goal is to analyze and compare the probability density functio... | ibivibiv/math_instruct | |
Let r be (-1)/3*3/7 + 3190/1015. Solve k - 10 + r = -4*l, 3*k = -4*l + 5 for l.\n | 2\n | ibivibiv/math_instruct | |
Find the common denominator of 17/3 and 514/24 + (-1)/(-4).\n | 3\n | ibivibiv/math_instruct | |
Suppose 3 = 5*i - 12. Suppose i*k + 7 = 49. Solve -5*s + h = 3*h + k, 4*s + 19 = h for s.\n | -4\n | ibivibiv/math_instruct | |
Suppose -v**4/2 + 17*v**3/2 + 37*v**2/2 + 19*v/2 = 0. What is v?\n | -1, 0, 19\n | ibivibiv/math_instruct | |
Let u = -25.1 + 29. Let m = -4.6 + 0.6. Let n = m + u. Is n not equal to -39?\n | True\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {r: 2, x: 16}. Give prob of sequence xr.\n | 16/153\n | ibivibiv/math_instruct | |
b"What is the rth term of -416, -3232, -10872, -25748, -50272, -86856, -137912?\n" | -402*r**3 - 2*r - 12\n | ibivibiv/math_instruct | |
Let r(l) = 22*l**2. Let d = 2 + 89. Let z = 106 - d. Let w(n) = -n + 3 - 18 + z. Calculate w(r(v)).\n | -22*v**2\n | ibivibiv/math_instruct | |
b"What is the vth term of -1, 47, 137, 275, 467, 719?\n" | v**3 + 15*v**2 - 4*v - 13\n | ibivibiv/math_instruct | |
Suppose -63*m = -87*m + 120. Let h(v) = -v**3 - 4*v**2 - 3*v + 4. Let g be h(-3). Solve -2*y - g = -o, 2*y = -o + 1 - m for o.\n | 0\n | ibivibiv/math_instruct | |
Is 735511384 a multiple of 100?\n | False\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 560 and 130?\n | 10\n | ibivibiv/math_instruct | |
What is 0/2*23/(-69)?\n | 0\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 27864?\n | 2\n | ibivibiv/math_instruct | |
Let n(p) = p**3 + p**2 - p + 4. Let l be 0/(3/(-1))*1. Let f be n(l). Put -4, f, 5 in ascending order.\n | -4, f, 5\n | ibivibiv/math_instruct | |
What is -3.35 times 1?\n | -3.35\n | ibivibiv/math_instruct | |
What is the next term in 2782, 5581, 8380?\n | 11179\n | ibivibiv/math_instruct | |
Suppose -86*l + 20 = -81*l. What is the second derivative of 33*t + 4*t + 26*t - 74*t**l + 28*t - 12*t wrt t?\n | -888*t**2\n | ibivibiv/math_instruct | |
Let h = 663 - 637. Suppose 2*r + 5*z + 77 = 0, -4*z + 3 = -z. Let l = h - r. What is the tens digit of l?\n | 6\n | ibivibiv/math_instruct | |
Put 59, -4, -33 in descending order.\n | 59, -4, -33\n | ibivibiv/math_instruct | |
Evaluate 61/(2440/(-3760)) - -154.\n | 60\n | ibivibiv/math_instruct | |
How many minutes are there between 3:58 PM and 12:11 AM?\n | 493\n | ibivibiv/math_instruct | |
Suppose -4*i = -83 - 13. Suppose -l - 3*l + i = 0. What is the units digit of l?\n | 6\n | ibivibiv/math_instruct | |
Convert -3232 (base 4) to base 9.\n | -284\n | ibivibiv/math_instruct | |
Let b(f) = -2*f**3 + 5*f**2. Let u(d) = 3*d**3 - 6*d**2. Let h = -2 - -5. Let p(s) = h*b(s) + 4*u(s). What is the third derivative of p(q) wrt q?\n | 36\n | ibivibiv/math_instruct | |
Suppose 5*r - 3848 = a, -4*r + 3074 = 9*a - 12*a. Calculate the greatest common divisor of r and 350.\n | 70\n | ibivibiv/math_instruct | |
Let i(l) be the third derivative of -l**5/12 + 3*l**4/8 + 7*l**3/6 - 116*l**2. Let a(o) = o**2 - 2*o - 2. Calculate 9*a(z) + 2*i(z).\n | -z**2 - 4\n | ibivibiv/math_instruct | |
Expand (-a - 3*a + 2*a + (-3 + 5 + 0)*(0*a + 0*a - a) + a - 1 + 1 + a - 5*a - 6*a)*(0*a + 0*a - 2*a).\n | 26*a**2\n | ibivibiv/math_instruct | |
Four letters picked without replacement from bbbbbnbnbnbbbbbnbbb. Give prob of sequence nnnn.\n | 1/3876\n | ibivibiv/math_instruct | |
((-5)/15)/((-3)/((-36)/(-2)))\n | 2\n | ibivibiv/math_instruct | |
Is 50299947587 composite?\n | True\n | ibivibiv/math_instruct | |
Let y(o) be the third derivative of 3333*o**7/70 + 1579*o**4/12 - 1423*o**2 + 2*o. Find the second derivative of y(w) wrt w.\n | 119988*w**2\n | ibivibiv/math_instruct | |
What is next in -1000, -2088, -3114, -4048, -4860, -5520, -5998, -6264?\n | -6288\n | ibivibiv/math_instruct | |
What is -3133222132 (base 4) in base 10?\n | -916126\n | ibivibiv/math_instruct | |
Let g be -4 - (0 + -1)*0. Let a be (g + (8 - 4))/1. Let c be (-1)/2 + (-1)/(-2). Solve -v + c - 1 = a for v.\n | -1\n | ibivibiv/math_instruct |
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