. What is the derivative of u(j) wrt j?
-3534*j**2
Let l(k) be the first derivative of 5/3*k**3 + 0*k**5 + 0*k**4 + 1/2*k**2 - 3*k - 42 - 1/3*k**6. Find the second derivative of l(m) wrt m.
-40*m**3 + 10
Let h = 36554 - 36545. Let s(d) be the third derivative of 1/12*d**5 + 5/6*d**4 + 0*d - h*d**2 + 0 + 0*d**3. Find the second derivative of s(z) wrt z.
10
Let t(k) = -23*k + 28. Let p be t(-15). Differentiate p - 29*l**4 - 28*l**4 - 425 with respect to l.
-228*l**3
Let z(g) be the second derivative of -10763*g**6/30 - 2149*g**2 - 7855*g. Differentiate z(a) wrt a.
-43052*a**3
What is the second derivative of -840*b**2 - 87*b - 211*b + 380*b wrt b?
-1680
Let d be 2*(2 - (-3)/(-6)). What is the third derivative of -d*i**5 + 7*i**6 + 519 - 519 - 65*i**2 wrt i?
840*i**3 - 180*i**2
Let j be 3/(((-2)/(-124))/(1/6)). Let g(a) be the second derivative of -a**5 - 23*a + j*a - 22*a - 3*a**2. Find the first derivative of g(i) wrt i.
-60*i**2
Let k(d) be the first derivative of -139*d**6 - 41*d**2 - d + 1316. What is the second derivative of k(u) wrt u?
-16680*u**3
Let i(n) be the first derivative of -3*n**2/2 + 20*n + 2. Let s be i(6). What is the third derivative of 4*a**s + 52*a**3 - 52*a**3 - 7*a**5 wrt a?
-420*a**2
Let n(s) be the first derivative of 1/4*s**4 - 37*s + 85/2*s**2 + 0*s**3 - 132. Differentiate n(x) wrt x.
3*x**2 + 85
Let a(i) = -i**3 - 2*i**2 + 6*i + 1550. Let w be a(0). Find the third derivative of -w + 39*n**2 + 777 + 24*n**3 + 773 wrt n.
144
Let c(m) = -m**2 - 5*m - 10. Let x be c(-8). Let d = 132 + x. Differentiate 8*n + 6*n + d - 90 with respect to n.
14
Let i = -160 + 267. What is the second derivative of i*g + 10*g**3 - 4*g + 21*g**3 wrt g?
186*g
Let g(l) be the first derivative of 640*l**3/3 - 118*l**2 + 510. What is the second derivative of g(x) wrt x?
1280
Let u(q) be the first derivative of -673*q**4/4 + 3032*q**3/3 - 4026. Find the third derivative of u(z) wrt z.
-4038
What is the third derivative of 1365*m**5 - 159536*m + 159536*m + 1672*m**2 wrt m?
81900*m**2
Suppose 4*g - 75 = -g. Suppose -z = d - 9, -2*z - 2*d + g = 3*d. Find the third derivative of -8*o**2 + 27*o**6 - z*o**6 - 9*o**6 wrt o.
960*o**3
Let d be -4 + (-27)/(486/(-72)). Let s(v) be the first derivative of d*v**2 - 5/3*v**3 + 20 + 33*v. Differentiate s(u) with respect to u.
-10*u
Suppose 7*z - 11*z + 144 = 0. Suppose -31*c + z*c - 10 = 0. Find the first derivative of -572*l**2 + 3 + 6*l**3 + 572*l**c wrt l.
18*l**2
Let p be -4 + ((-4)/18 - (-5759)/117). Let m = -21 + p. Find the first derivative of -5*r - 2*r + m - 14 + 24 wrt r.
-7
Suppose 2*l = -v + 14, -6*l + 5*v + 26 = -4*l. Find the third derivative of l*h**5 - 58*h**3 + 110*h**3 - 22*h**2 - 56*h**3 wrt h.
480*h**2 - 24
Suppose -3*k = x + 2 - 3, -17 = -4*x + k. Find the second derivative of -x*w + 43*w - 27*w**2 + 11*w + 88*w**2 wrt w.
122
Suppose 0 = -2*i - 4*i. Find the third derivative of -55*q**2 + i*q**4 + 6*q**5 - q**4 + 5*q**4 wrt q.
360*q**2 + 96*q
Let w(s) = s - 12*s + 69 + 187*s**2 + 95 + 172. Let r(z) = 62*z**2 - 4*z + 112. Let k(y) = 11*r(y) - 4*w(y). What is the first derivative of k(b) wrt b?
-132*b
What is the second derivative of -62*s + 51 - 20 + 209*s - 23 - 700*s**2 wrt s?
-1400
Let b(n) = n**3 + n**2 + 2*n + 1. Let k(q) = -1007*q**3 + 1199*q**2 + 8*q + 4. Let z(r) = 4*b(r) - k(r). What is the third derivative of z(v) wrt v?
6066
Suppose -14*v + 19*v = 10. Let u(m) = 30*m**2 + 3*m - 110. Let t(s) = -28*s**2 - 4*s + 110. Let d(f) = v*t(f) + 3*u(f). Differentiate d(i) wrt i.
68*i + 1
Let z(j) be the third derivative of -835*j**9/504 + 3247*j**5/60 - 1184*j**2 + 2*j. What is the third derivative of z(c) wrt c?
-100200*c**3
Let d be (32 + -31)/((-3)/(-36)). What is the first derivative of 16827*i + d*i**2 + 218 - 16827*i wrt i?
24*i
Let r(m) be the first derivative of -54 + 0*m + 22/3*m**3 + 0*m**2 - 6*m**4. Find the third derivative of r(c) wrt c.
-144
Let g(j) = 1. Let n = 151 + -150. Let x(b) = -28*b**3 + 37. Let i(d) = n*x(d) - 6*g(d). Differentiate i(m) with respect to m.
-84*m**2
Let u = -21 + 48. Let v = u + -22. Find the second derivative of 13*j**v - 8 + 9*j + 10 - 2 wrt j.
260*j**3
Let y(s) be the third derivative of -156*s**7/35 + 5*s**4/24 + 100*s**3/3 + 22*s**2 + 30. Find the second derivative of y(l) wrt l.
-11232*l**2
Let j = 27 - 22. Suppose j*b - 6094 = h, -3*b + 5*h + 3802 = 150. What is the second derivative of -b*p**2 + 39*p + 1239*p**2 - 9*p wrt p?
40
Let r = -223 - -264. Find the third derivative of 32*w**3 - 289*w**2 + 143*w**2 + r*w**3 wrt w.
438
Let x(d) = -673*d - 1784. Let h(j) = -2692*j - 7107. Let b(k) = -2*h(k) + 9*x(k). What is the first derivative of b(u) wrt u?
-673
Let j be 31/434 - (-194)/28. What is the second derivative of 9*o**2 - 3*o + 28 + j*o**2 + o**2 wrt o?
34
Suppose c = -2, 1039 = 5*o + 2*c - 407. Suppose -2*b = -2*d - b + o, -3*d + 421 = 2*b. Find the second derivative of 159*w - 19*w**4 - d*w - 7*w**4 wrt w.
-312*w**2
Let s = 9004/7 + -35953/28. Let v(l) be the first derivative of 0*l + 20 + s*l**4 + 0*l**3 + 17/2*l**2. What is the second derivative of v(g) wrt g?
54*g
Suppose 3*r - 24 = -3*t, -3*t + 27 = -2*r - 12. Let k(i) = -205*i + 202. Let a(s) = -41*s + 40. Let p(o) = t*a(o) - 2*k(o). Differentiate p(q) wrt q.
-41
Suppose 4*r + 3*n = 163, 52*r - 27 = 51*r + 2*n. What is the third derivative of -20*m**3 + 29*m**2 + r*m**3 - 2 - 25*m**3 wrt m?
-48
Let z(a) = a**2 - a - 16. Let h be z(5). Find the first derivative of -392*r**4 + 168*r**4 - 20 + 151*r**h wrt r.
-292*r**3
Suppose 3*y = 9*y - 18. Differentiate 1269 + 8*b**3 - 776 - 698 + y*b**4 with respect to b.
12*b**3 + 24*b**2
Let g(u) be the second derivative of 65*u**7/42 + 11*u**6/30 + 9*u**4/2 + u**3/2 + 317*u. Find the third derivative of g(s) wrt s.
3900*s**2 + 264*s
Let j(b) be the second derivative of -3*b**8/14 + 197*b**4/6 + 839*b - 1. Find the third derivative of j(l) wrt l.
-1440*l**3
Let i = -48 + 56. Let j = i + -1. What is the second derivative of -j*c**4 + 20*c**4 + 4*c**5 - 13*c**4 - 2*c wrt c?
80*c**3
Suppose 0 = -41*f + 35*f + 5940. Find the first derivative of t**4 + t**3 + f + 141*t - t**3 - 1122 + t**4 wrt t.
8*t**3 + 141
Suppose 2*p - 5*q = -41, -3*q = 2*p + q + 50. Let l = -18 - p. Find the third derivative of -7*n**5 + 4*n**5 - 7*n**2 - 5*n**2 - l*n**5 wrt n.
-480*n**2
Find the third derivative of -2296*w**2 - 20*w**2 - 80*w**5 + 185*w**5 - 9*w**5 + 171*w**5 wrt w.
16020*w**2
Let f = -87 + 90. Find the second derivative of -146*z**2 - 32*z + 146*z**2 + 13*z**f wrt z.
78*z
Find the third derivative of 11*l**3 + 0*l**2 + 31019*l - 6*l**4 - 31011*l + 9*l**2 + 13*l**2 wrt l.
-144*l + 66
Suppose 3*u = 5*u. Suppose 69 = 5*n + 2*l, -5*n - 2*l = -n - 56. What is the first derivative of 7 - 9 + u*d**4 + n*d**4 wrt d?
52*d**3
Suppose 3*c - 3*d - 60 = 33, 0 = -3*c - d + 93. What is the first derivative of 54*u - 11 - 46 - 11*u - c wrt u?
43
Let x(d) be the second derivative of -13*d**5/20 - 25*d**4/12 - 2044*d**2 - d - 1892. Differentiate x(q) with respect to q.
-39*q**2 - 50*q
Let b(o) be the first derivative of -65 - 7/3*o**3 - 8/5*o**5 + 0*o - 41/2*o**2 + 0*o**4. Find the second derivative of b(k) wrt k.
-96*k**2 - 14
Find the third derivative of -10410*i**4 + 199508*i**2 + 5 + 199653*i**2 - 398911*i**2 wrt i.
-249840*i
Let s(k) be the third derivative of -127*k**7/35 + 65*k**3/2 + 1311*k**2. What is the first derivative of s(d) wrt d?
-3048*d**3
Let t(m) be the third derivative of -8*m**7/35 + m**5/20 - 4033*m**3/6 + 62*m**2 - 2*m - 2. What is the derivative of t(d) wrt d?
-192*d**3 + 6*d
Let o(b) = 239*b**4 - 4*b**3 + 12*b**2 - 54*b + 2. Let t(n) = 2*n**4 + n**3 + n - 1. Let y(d) = -o(d) - 2*t(d). What is the third derivative of y(c) wrt c?
-5832*c + 12
Let r(z) = -40*z**2 + 10*z - 1. Let l(j) = 2*j**2 + j - 1. Let h be 1/4 + 544/(-128). Let g(v) = h*l(v) + r(v). What is the second derivative of g(o) wrt o?
-96
Find the second derivative of -60*w**2 - 654*w**2 - 529*w**2 - 5766*w + 85*w**2 wrt w.
-2316
Let d(u) = 13191*u**2 + 7147. Let m(z) = -3297*z**2 - 1788. Let l(t) = 2*d(t) + 9*m(t). What is the first derivative of l(g) wrt g?
-6582*g
Let d(b) = 368*b**3 + 19*b**2 - 3*b - 62. Let h(z) = -1840*z**3 - 95*z**2 + 16*z + 304. Let r(f) = 16*d(f) + 3*h(f). Find the thir