instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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Let f(t) = 70*t**2 + 8315*t + 20. What is f(-119)?\n | 1805\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"FixedRateCoupon - Maple Help
Finance
FixedRateCoupon
construct a fixed rate coupon on a term structure
Calling Sequence FixedRateCoupon(nominal, rate, startdate, enddate, paymentdate, opts)
Parameters
nominal - non-n... | The `FixedRateCoupon` function is a powerful tool used in finance to model fixed rate coupons on a term structure. To effectively utilize this function, it's essential to understand its calling sequence, parameters, and available options. This knowledge will help you build accurate financial models and perform rigorou... | ibivibiv/math_instruct | |
Two letters picked without replacement from {w: 4, y: 2, a: 7, n: 3, m: 1}. Give prob of picking 1 w and 1 y.\n | 1/17\n | ibivibiv/math_instruct | |
What is prob of picking 3 i when three letters picked without replacement from {y: 3, i: 4}?\n | 4/35\n | ibivibiv/math_instruct | |
Let d = 394.8 + -317.32. Let u = d + -86. Round u to zero decimal places.\n | -9\n | ibivibiv/math_instruct | |
Let i(g) = g + 6. Suppose 5*x + 2*o + 46 = 0, 11 = x - 2*x - o. Let w be i(x). Let m(n) = -n**3 - 2*n**2 + 2*n + 2. Determine m(w).\n | -2\n | ibivibiv/math_instruct | |
Let k be ((-4)/3)/((-24)/108) - 17. Put k, 2/5, -2/15, -1/3, 1/4 in descending order.\n | 2/5, 1/4, -2/15, -1/3, k\n | ibivibiv/math_instruct | |
What is (1 + 14/(-18))*21861/694?\n | 7\n | ibivibiv/math_instruct | |
Simplify ((w**(3/4))**(-5/9))**(-5/6) assuming w is positive.\n | w**(25/72)\n | ibivibiv/math_instruct | |
Let w = 25 - 16. Let z(i) = -i + 18. Let m be z(w). Let p be ((-1)/1)/((-3)/m). Solve -4 = p*c - 1 for c.\n | -1\n | ibivibiv/math_instruct | |
Let u(q) = -q**2 - 13*q - 23. Let g be u(-5). Suppose -g*o + 3615 - 249 = 0. Is o a multiple of 9?\n | True\n | ibivibiv/math_instruct | |
Two letters picked without replacement from jjwqw. What is prob of sequence jw?\n | 1/5\n | ibivibiv/math_instruct | |
Let x = 2106.78 - 2107. Let u = 0.1 + -1.1. Sort 1/3, u, -3, x in decreasing order.\n | 1/3, x, u, -3\n | ibivibiv/math_instruct | |
What is the first derivative of -638*i**2*o + 453*i**2 + 2*o wrt o?\n | -638*i**2 + 2\n | ibivibiv/math_instruct | |
Collect the terms in 17538*f**3 - 17537*f**3 + f - f.\n | f**3\n | ibivibiv/math_instruct | |
Let m = -782.6 - -783. What is the second biggest value in m, -5, 9/8?\n | m\n | ibivibiv/math_instruct | |
What is the second derivative of 178975*d**2 + 157*d - 334 wrt d?\n | 357950\n | ibivibiv/math_instruct | |
How many minutes are there between 11:41 AM and 5:03 PM?\n | 322\n | ibivibiv/math_instruct | |
Is 99362569477 prime?\n | False\n | ibivibiv/math_instruct | |
Let r be 5 - ((-52)/12)/(-1). Suppose 2*c - 3*g = 5 - 1, -8 = -4*c - 3*g. Solve 0 + 2/3*l**c + r*l**3 + 0*l = 0.\n | -1, 0\n | ibivibiv/math_instruct | |
Let j(a) be the second derivative of -3*a**5/20 - a**4/4 + 2*a. Let x(c) = 10*c**3 + 10*c**2. Let v(o) = 7*j(o) + 2*x(o). Factor v(g).\n | -g**2*(g + 1)\n | ibivibiv/math_instruct | |
What is the value of ((-8855)/1518)/(1*(-50)/8)?\n | 14/15\n | ibivibiv/math_instruct | |
Find the first derivative of -41*m + 7*m**2 + 41*m + 5 wrt m.\n | 14*m\n | ibivibiv/math_instruct | |
b"What is the yth term of 2216, 2202, 2184, 2162, 2136, 2106?\n" | -2*y**2 - 8*y + 2226\n | ibivibiv/math_instruct | |
What is the greatest common factor of 23 and 69?\n | 23\n | ibivibiv/math_instruct | |
Let p = -13.8 + 14.3. Let l = 3.5 - 3.27. Let n = l + -0.43. Which is the smallest value? (a) 1/6 (b) n (c) p (d) 0\n | b\n | ibivibiv/math_instruct | |
Convert 555.827 millennia to years.\n | 555827\n | ibivibiv/math_instruct | |
Let i(c) = -6*c - 16. Let x(g) = 2*g + 5. Let p(o) = 2*i(o) + 7*x(o). Calculate p(-4).\n | -5\n | ibivibiv/math_instruct | |
Calculate the remainder when 387384 is divided by 2334.\n | 2274\n | ibivibiv/math_instruct | |
What is 116.886 times 3?\n | 350.658\n | ibivibiv/math_instruct | |
Let v(k) = -1578 + 1600 + 20*k + 20*k. Let n(m) = 16*m + 9. Determine -12*n(d) + 5*v(d).\n | 8*d + 2\n | ibivibiv/math_instruct | |
Which is smaller: -0.1089235 or -0.07?\n | -0.1089235\n | ibivibiv/math_instruct | |
Let t be ((-8)/6 - -1)/(-367). Let m = t - -11375/2202. What is the common denominator of 32/7 and m?\n | 42\n | ibivibiv/math_instruct | |
What is prob of sequence xfa when three letters picked without replacement from adafaafaaxffxx?\n | 3/91\n | ibivibiv/math_instruct | |
Put 2, -8/5, 3, -3 in ascending order.\n | -3, -8/5, 2, 3\n | ibivibiv/math_instruct | |
Suppose -3*c + 8*c - 5 = 0. Let f be (-2)/(-6) + 3/18. Which is smaller: f or c?\n | f\n | ibivibiv/math_instruct | |
What is prob of picking 2 b when two letters picked without replacement from bbbbbgbbgb?\n | 28/45\n | ibivibiv/math_instruct | |
What are the prime factors of 2342814?\n | 2, 3, 19, 20551\n | ibivibiv/math_instruct | |
Suppose -2*i = -6 + 2. Suppose -5*t = -10*t + i*v, 2*t + 4*v = 0. Suppose t*f - 80 = -5*f. Solve 9 = 5*c - f for c.\n | 5\n | ibivibiv/math_instruct | |
Round 0.00017119 to 5 decimal places.\n | 0.00017\n | ibivibiv/math_instruct | |
Suppose -40 = -5*a + 4*m, -m - 27 = -3*a + 4. Solve q = -5*y - 20, -3*y + a = -6*y - 3*q for y.\n | -4\n | ibivibiv/math_instruct | |
Expand (4 - 3 - 2)*(2*c + 3 - 3)*(5*c + c**2 - 3*c - 3*c).\n | -2*c**3 + 2*c**2\n | ibivibiv/math_instruct | |
(-21)/((3600/125)/48)\n | -35\n | ibivibiv/math_instruct | |
What is the smallest value in 3/4, 0.102, 2/3, -1, -2/5, -2/3, 5?\n | -1\n | ibivibiv/math_instruct | |
Is 48691613 composite?\n | False\n | ibivibiv/math_instruct | |
Collect the terms in -193*t**3 + 164*t**3 + 809*t**3.\n | 780*t**3\n | ibivibiv/math_instruct | |
What is the next term in -5094, -10161, -15178, -20133, -25014, -29809?\n | -34506\n | ibivibiv/math_instruct | |
Let f = 37 + -33. Suppose -2*t - 6 = -2*o, 7*t = 4*o + f*t - 9. Suppose -3*r + 2*a = -6*r + 138, o = -4*r + 3*a + 167. What is the tens digit of r?\n | 4\n | ibivibiv/math_instruct | |
Factor 3/2*h - 3/2*h**2 + 3.\n | -3*(h - 2)*(h + 1)/2\n | ibivibiv/math_instruct | |
Let l(x) = 20*x - 807. What is the remainder when l(46) is divided by 91?\n | 22\n | ibivibiv/math_instruct | |
Let j(w) be the second derivative of -w**4/12 + 43*w. Let q(z) = 5*z**2. Give j(q(p)).\n | -25*p**4\n | ibivibiv/math_instruct | |
Solve -4*t - 2 = 2*z - 5*t, -2*t + 4 = 2*z for z.\n | 0\n | ibivibiv/math_instruct | |
Let t = 234.4 - 160. Let b = 74.39513 - t. Round b to 4 decimal places.\n | -0.0049\n | ibivibiv/math_instruct | |
Solve 3*f - 11*j - 30 = -8*j, -5*f + 727*j - 731*j = 31 for f.\n | 1\n | ibivibiv/math_instruct | |
Let k(u) = u**2 - 2*u - 7. Let n be k(5). Suppose 11 = 2*c + 3*b, 5*b - 16 = -4*c + b. What is the remainder when 18/n - (-2)/(-8) is divided by c?\n | 0\n | ibivibiv/math_instruct | |
What is 13/4 of a millennium in months?\n | 39000\n | ibivibiv/math_instruct | |
Suppose -93*u = -80*u + 26. Let g = 1 - -2. Let m be u/3 + (-3 - (-17)/g). Solve -2*v + 4 = -m for v.\n | 3\n | ibivibiv/math_instruct | |
Let f(p) be the first derivative of 3*p**4/2 + 8*p**3/3 - 14. Find the third derivative of f(b) wrt b.\n | 36\n | ibivibiv/math_instruct | |
Convert 46.00892cm to micrometers.\n | 460089.2\n | ibivibiv/math_instruct | |
Sort -98110, -1, 4, -22, -2 in increasing order.\n | -98110, -22, -2, -1, 4\n | ibivibiv/math_instruct | |
Solve 2040*d = 1977*d + 819 for d.\n | 13\n | ibivibiv/math_instruct | |
Let s = -45 - -45. Solve -4*a - 4*o = 0, -2*a + o + s = -6 for a.\n | 2\n | ibivibiv/math_instruct | |
What is the closest to 0 in -2, 0.5, -66/13, 1/4, 1/5?\n | 1/5\n | ibivibiv/math_instruct | |
Let n = -2531 + 2786. Calculate the remainder when 1773 is divided by n.\n | 243\n | ibivibiv/math_instruct | |
Let w(n) = -562*n**3 - 2*n**2 + 1. Let d be w(1). Is d/(-5) - (-12)/30 composite?\n | False\n | ibivibiv/math_instruct | |
Solve 0 = -25*k - 15*k + 109 + 51 for k.\n | 4\n | ibivibiv/math_instruct | |
How many seconds are there in 3/10 of a day?\n | 25920\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) -11.5 (b) -1/5 (c) 0 (d) 169/2 (e) -4\n | a\n | ibivibiv/math_instruct | |
Simplify (u**(-2))**(1/12)*(u**(-2/7)*u)**(-6) assuming u is positive.\n | u**(-187/42)\n | ibivibiv/math_instruct | |
Let m(y) = 240*y**5 - 74*y. Let x(i) = 121*i**5 - 37*i. Let o(g) = 6*m(g) - 11*x(g). What is the second derivative of o(j) wrt j?\n | 2180*j**3\n | ibivibiv/math_instruct | |
Let o(a) = -42*a - 3. Let q(i) = -985*i - 35449. What is the lowest common multiple of q(-36) and o(-5)?\n | 2277\n | ibivibiv/math_instruct | |
What is the third derivative of 190379*i**3*j - 3*i**3*o**2 + 9*i**3 + 5*i**2*j + 87950*i*j*o**2 - 5*i*o**2 - 16*j*o**2 wrt i?\n | 1142274*j - 18*o**2 + 54\n | ibivibiv/math_instruct | |
Let q(m) = -2*m**3 + 256*m**2 - 739*m + 61595. Give q(127).\n | 0\n | ibivibiv/math_instruct | |
-2*5/100*(-4)/(-3)\n | -2/15\n | ibivibiv/math_instruct | |
Calculate prob of sequence kc when two letters picked without replacement from {c: 2, k: 3, w: 7}.\n | 1/22\n | ibivibiv/math_instruct | |
What is the third derivative of -t**5 - 126*t**4 - 29214*t**3 - 74*t**2 + 46976*t wrt t?\n | -60*t**2 - 3024*t - 175284\n | ibivibiv/math_instruct | |
Suppose b = 2*k + 3, -2*k + 6*b - 18 = 2*b. Let d = 5 - k. Put 0, 1, d in decreasing order.\n | d, 1, 0\n | ibivibiv/math_instruct | |
Let a(o) = 3*o + 27. Let l be a(-8). Let v(n) = 10*n - 1 - l*n - 3*n + 3. Suppose -y = -3*s - 8, -y + 6 = -4*s - 3. Let w(t) = t. Calculate s*v(c) + 2*w(c).\n | -2*c - 2\n | ibivibiv/math_instruct | |
What is -6.59108 rounded to 2 dps?\n | -6.59\n | ibivibiv/math_instruct | |
Simplify -4*((4 + sqrt(288)*1)**2 - (0 + sqrt(14)/(sqrt(7) - sqrt(7)*-2))).\n | -1216 - 1148*sqrt(2)/3\n | ibivibiv/math_instruct | |
Suppose 0 = r - 7*r - 2*r. Let l = 27 + r. What is the tens digit of l?\n | 2\n | ibivibiv/math_instruct | |
Evaluate (-282)/3572*(-4)/(-14)*(-14)/24.\n | 1/76\n | ibivibiv/math_instruct | |
Let a(n) = n**3 - 2*n**2 + 4*n - 2. Let p be a(2). Suppose -p - 4 = -2*g. Suppose -g*t = -0*u + 4*u + 41, -4*t = -5*u. Let l(k) = -k**2 - 3*k + 2. Give l(t).\n | -8\n | ibivibiv/math_instruct | |
Put 13256, -0.5, -1, 357 in increasing order.\n | -1, -0.5, 357, 13256\n | ibivibiv/math_instruct | |
Let k(a) = 3*a. Let h(f) be the first derivative of 499*f**3/3 + 846. Determine h(k(c)).\n | 4491*c**2\n | ibivibiv/math_instruct | |
What is next in -102475, -102513, -102589, -102709, -102879, -103105?\n | -103393\n | ibivibiv/math_instruct | |
Factor 2*q**2 + 148*q + 2090.\n | 2*(q + 19)*(q + 55)\n | ibivibiv/math_instruct | |
Evaluate (12/(-4))/(9/12).\n | -4\n | ibivibiv/math_instruct | |
Simplify (((sqrt(637) - (sqrt(637) - (sqrt(637) + 3))) + -4)*-6)**2 - (-4 + sqrt(832) - sqrt(117)*4).\n | -500*sqrt(13) + 22972\n | ibivibiv/math_instruct | |
Collect the terms in -35433*p + 5228*p - 84120*p.\n | -114325*p\n | ibivibiv/math_instruct | |
Let f(s) be the second derivative of 2*s**2 - 1/3*s**3 + 0 - 4*s. Suppose -5*c = 3*v - 10, -5*v + 2*c = c - 26. Determine f(v).\n | -6\n | ibivibiv/math_instruct | |
Suppose -3*x + 5024 + 11992 = 5*t, -t + 5*x = -3448. Calculate the smallest common multiple of 288 and t.\n | 20448\n | ibivibiv/math_instruct | |
What is 326 divided by 197373?\n | 326/197373\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 60 and 3892310.\n | 10\n | ibivibiv/math_instruct | |
((-30)/8*1)/((-1)/(-3)*792/(-704))\n | 10\n | ibivibiv/math_instruct | |
What is -1.779 times -0.1?\n | 0.1779\n | ibivibiv/math_instruct | |
Let a = -140.256 - -141. Let l = a - 219.144. Round l to the nearest 100.\n | -200\n | ibivibiv/math_instruct | |
What is -63 + (-28 - (-47 + -15))?\n | -29\n | ibivibiv/math_instruct | |
Suppose 9*z = -35 + 98. Let v = -67 + z. List the prime factors of 277/3 - (-20)/v.\n | 2, 23\n | ibivibiv/math_instruct | |
Which is the nearest to -12? (a) 0.02 (b) -1/19 (c) 0 (d) -5 (e) 1\n | d\n | ibivibiv/math_instruct |
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