l.
-24*l**2 - 1350*l
Suppose 5*o - 143 = 2*o - 2*u, o - 33 = 3*u. Suppose 13 = -8*v + o. Find the third derivative of 35*b**2 + 9*b**6 + 74*b**v - 74*b**4 + 20*b**6 wrt b.
3480*b**3
Differentiate 975 - 7580*h + 10885*h - 5048 wrt h.
3305
Let o be 7*1*(-4)/(-4). Let m(p) = -9*p**3 - 4. Let t(k) = -9*k**3 - 3. Let q = 7 - 13. Let l(g) = o*t(g) + q*m(g). Differentiate l(c) with respect to c.
-27*c**2
Let s(o) = -193*o**2 - 157*o + 5. Let d(p) = -96*p**2 - 68 - 79*p - 58 + 128. Let z(i) = -5*d(i) + 2*s(i). What is the second derivative of z(g) wrt g?
188
Let f(s) be the first derivative of 14*s**2 + 0*s**4 + 8/5*s**5 + 5*s**3 - s + 32. What is the second derivative of f(l) wrt l?
96*l**2 + 30
Differentiate 28*n**2 - 23*n**2 - 819 + 4991 + 18*n**2 + 18*n**2 - 19*n wrt n.
82*n - 19
Let q(x) be the first derivative of -424*x**3/3 + 2309*x - 1404. What is the first derivative of q(p) wrt p?
-848*p
Let s(i) = -i**2 + 11*i + 9. Let t be s(5). What is the third derivative of 23*k**2 + 16*k**2 - k**4 + 2*k + t*k**4 - 9*k**2 wrt k?
912*k
Let d = 33 + -28. Suppose 0 = 5*k - 4*v - 62, 0*v = d*k - v - 68. Let l(c) = 8*c**3 + 11. Let p(w) = -1. Let f(m) = k*p(m) + 2*l(m). Differentiate f(b) wrt b.
48*b**2
Let s(w) be the first derivative of 3566*w**3/3 - 529*w - 3494. What is the derivative of s(z) wrt z?
7132*z
Find the second derivative of 7400*q - 1973*q**3 - 82793 + 82793 wrt q.
-11838*q
Find the third derivative of -33*k**2 + 278*k**6 + 13721 + 118*k**6 - 13720 wrt k.
47520*k**3
What is the second derivative of f**3 + 295*f**4 + 437*f - 462*f - 22 + 61*f**4 - f**3 wrt f?
4272*f**2
Let s = 247 + -124. Suppose 0 = -3*w + 4*p - 8, -4*p + 32 = w + 2*w. What is the second derivative of s*b + 4*b**4 - 110*b - b**w wrt b?
36*b**2
Let i(x) be the second derivative of 0 + 2/3*x**3 - 1/21*x**7 + 0*x**5 + 7/2*x**2 - 190*x + 0*x**6 + 0*x**4. What is the second derivative of i(w) wrt w?
-40*w**3
Let u be (410/(-328))/((-2)/(-1 + 25)). Find the first derivative of -26 + 48*j + u + 69 wrt j.
48
Let g(j) be the second derivative of 1/6*j**4 - 3/2*j**2 - 20*j + 0*j**3 + 0 + 3/5*j**5. What is the third derivative of g(f) wrt f?
72
Let t(o) be the third derivative of 482*o**7/35 - 2257*o**5/60 - 2*o**2 + 4*o + 1. Find the third derivative of t(q) wrt q.
69408*q
Let x(c) = -c**2 - c + 2. Let f be x(0). Suppose f = 2*h - h + 5*m, 0 = 3*m. What is the third derivative of -4*t + 13*t**3 + 15*t**h + 4*t - 3*t**3 wrt t?
60
Let c = 52 - 49. Find the second derivative of 3*r**3 - 124*r - c*r**3 + 3*r**3 - 95*r**2 - 5*r**3 wrt r.
-12*r - 190
Let q(k) be the first derivative of 0*k**2 - 3/7*k**7 + 0*k**4 - 30*k**3 + 0*k**6 + 0*k + 9/5*k**5 - 11. What is the third derivative of q(t) wrt t?
-360*t**3 + 216*t
What is the second derivative of -120768 + 2*x + 120098 + 209*x**2 + 96*x**2 wrt x?
610
What is the first derivative of 3148 - 334*c**4 + 1699*c**4 + 1216*c**4 + 418*c**4 wrt c?
11996*c**3
Let d(g) be the first derivative of 1768*g**5/5 + 2290*g**3 - 9606. Find the third derivative of d(s) wrt s.
42432*s
Let i be 2/13 + 18/39*4. What is the third derivative of 64*b**4 - 5*b**2 - 204 + 204 - 4*b**i wrt b?
1536*b
What is the second derivative of 1081*u + 19445 - 2382*u**3 - 273*u - 19445 wrt u?
-14292*u
Suppose -d + 3*s - 7 = 0, 5*s - s = -2*d + 16. Find the second derivative of -1689*f**4 + d*f**3 + 2*f + 15 + f + 1699*f**4 wrt f.
120*f**2 + 12*f
Let w(q) = 47115*q + 45937. Let c(k) = 15707*k + 15311. Let s(o) = -7*c(o) + 2*w(o). What is the first derivative of s(b) wrt b?
-15719
Find the second derivative of -53 + 83*o - 72 - 81*o - 150*o**4 - 155 wrt o.
-1800*o**2
Let a(y) be the third derivative of -y**7/35 + y**5/4 - 765*y**4/8 + y**2 + 1423*y. Find the second derivative of a(k) wrt k.
-72*k**2 + 30
Suppose 59*c - 64*c = -20. Suppose 0 = p - 3*v - c, 5*v + 5 = 3*p - 3. What is the derivative of -8 + 1 - l**4 - p wrt l?
-4*l**3
Let g(c) be the first derivative of 206*c**3 + 383*c**2/2 + 729. What is the second derivative of g(m) wrt m?
1236
Let f(k) = 20. Let n(r) = r**2 + 407*r + 5611. Let m(a) = 7*f(a) + n(a). What is the first derivative of m(z) wrt z?
2*z + 407
Let m be 9/(-12) - 11*(-1)/4. Suppose 0*u - m*u = -26. What is the second derivative of -2300*d**3 + u*d**5 + 7*d + 2300*d**3 wrt d?
260*d**3
Let d(l) = 5*l**2 - 2. Let m be d(-4). What is the derivative of 107*z - 36*z - 92 - z + m*z wrt z?
148
Let v(n) be the second derivative of -213*n**6/10 + n**5/20 + 19*n**3/3 - 3*n**2 - 2249*n. What is the second derivative of v(r) wrt r?
-7668*r**2 + 6*r
Let v(s) = 5*s - 104. Let r be v(27). What is the first derivative of 44*l**2 - 44*l**2 + r*l**3 - 34 wrt l?
93*l**2
Let l(q) be the first derivative of 0*q**3 - 3/2*q**2 - 24/5*q**5 + 22*q + 0*q**4 + 45. Differentiate l(m) wrt m.
-96*m**3 - 3
Let t(w) be the third derivative of -7 + 1/24*w**4 - 7/60*w**5 - 9/2*w**3 - w**2 + 0*w. What is the derivative of t(k) wrt k?
-14*k + 1
Let p(q) be the second derivative of -1211*q**5/4 + q**4/6 + 5785*q**2/2 - 18*q - 150. What is the third derivative of p(u) wrt u?
-36330
Let p be (292/(-12) + 4)*-3. Let k = -58 + p. What is the first derivative of o**3 - 7 - 2 - 10*o**3 - 2*o**k wrt o?
-33*o**2
What is the first derivative of -2192 + 173*v**2 - 62 - 67*v**2 + 10818*v**3 - 106*v**2 wrt v?
32454*v**2
Let q(x) be the first derivative of -89*x**7/14 - 30*x**3 + 206*x + 100. Let n(w) be the first derivative of q(w). Find the second derivative of n(g) wrt g.
-5340*g**3
Find the third derivative of -4*u**5 + 18*u**2 + 3*u**5 + 21*u**4 + 1631*u**4 - 17*u**2 + 1973*u + 297*u wrt u.
-60*u**2 + 39648*u
Let f(t) be the third derivative of -43/60*t**5 + 0*t**3 + 43/8*t**4 + 0*t - 12 - 4*t**2. Find the second derivative of f(m) wrt m.
-86
Differentiate -89830 + 181569 - 1186*h**2 - 90335 with respect to h.
-2372*h
Let d(g) = -1418*g**2 - 1307*g + 8. Let v(q) = -1417*q**2 - 1308*q + 10. Let t(k) = 5*d(k) - 4*v(k). Find the second derivative of t(c) wrt c.
-2844
Let b(r) be the first derivative of -61/2*r**4 + 0*r**3 - 43*r + 113 + 0*r**2. What is the derivative of b(v) wrt v?
-366*v**2
Let r be (-4)/(-1) - (-5 - -13). Let t be (2/r)/(6/8 + -1). Find the second derivative of 18*z**3 - 10*z - 155*z**2 + 155*z**t wrt z.
108*z
Let u(i) = i**2 + i - 8. Let c(g) = -5086*g**3 + 4121*g**2 + 6*g - 48. Let l(q) = c(q) - 6*u(q). Find the third derivative of l(v) wrt v.
-30516
Let l = 78 - 74. Find the third derivative of 3*z**2 - 11*z**l - 88 + 111 - 5*z**2 - 41*z**4 wrt z.
-1248*z
Find the third derivative of 74*w + 1 + 32*w**2 + 43*w**2 - 93*w**2 - 23*w + 2726*w**4 + 31*w**2 wrt w.
65424*w
Let j(y) = y**3 + 10*y**2 + 11. Suppose 20 + 0 = -2*u. Let a be j(u). Find the second derivative of 2*f**2 - a*f + 29*f - f**2 wrt f.
2
Let r(h) be the second derivative of 571*h**5/2 - h**4/12 + 23*h**3/6 + 44*h**2 + 3*h + 4. Find the second derivative of r(l) wrt l.
34260*l - 2
Let x(b) = 5176*b**3 - 113*b**2 + 21*b. Let d(g) = -10353*g**3 + 224*g**2 - 49*g - 1. Let c(l) = 3*d(l) + 7*x(l). What is the third derivative of c(s) wrt s?
31038
Let t(m) be the first derivative of 64*m**3/3 + 81*m**2/2 - 4156*m - 1325. Find the first derivative of t(d) wrt d.
128*d + 81
Let x(d) = 2005*d**3 + 3*d**2 - 205. Let y(g) = 2008*g**3 + 5*g**2 - 206. Let l(z) = -5*x(z) + 4*y(z). Find the third derivative of l(r) wrt r.
-11958
Let y(r) be the first derivative of -183*r**5/5 + r**3 + 127*r**2/2 + 523. Find the second derivative of y(s) wrt s.
-2196*s**2 + 6
Let g = 268 + -172. Differentiate g*v**4 + 22*v**4 - 40 - 34*v**4 + 70*v**4 wrt v.
616*v**3
Let o(n) be the third derivative of 5*n**9/84 - n**6/30 - 607*n**5/12 + 19*n**2 + 5*n + 28. What is the third derivative of o(g) wrt g?
3600*g**3 - 24
Find the third derivative of 34*j**2 + 1775*j**3 - 210*j**3 + 164*j**2 + 1308*j**3 + 433*j**2 wrt j.
17238
Let g(j) = -7*j**3 - j**2 - 1. Let l(n) = -526*n**3 + 530*n**2 - 14. Let d(p) = 42*g(p) - 3*l(p). Find the third derivative of d(a) wrt a.
7704
Let b(u) be the third derivative of 0 + 0*u - 1/105*u**7 + 0*u**6 + 0*u**3 + 11/60*u**5 - 74*u**2 - 1/4*u**4. Find the second derivative of b(i) wrt i.
-24*i**2 + 22
Let i(n) be the second derivative of 1/12*n**4 + 0 + 34*n**2 - 22*n + 2*n**5 + 0*n**3. Find the first derivative of i(c) wrt c.
120*