- z*h**3 - 9*h**3 wrt h.
-96*h**2
Find the second derivative of -565*a**4 - 2 + 4 - 174*a - 184*a - 617*a - 460*a**4 wrt a.
-12300*a**2
Suppose 5*h + 3*d = 61, -47 = -5*h - 0*d + 4*d. Differentiate -n**2 + 7 - 5 + h - 2 + 29*n**3 wrt n.
87*n**2 - 2*n
Let u(m) = 893*m**3 - 481*m**2. Let t(c) = -25*c**2. Let h(s) = -6*t(s) - u(s). What is the third derivative of h(q) wrt q?
-5358
Suppose 0 = -16*a + 15*a + 16. What is the third derivative of 30*j - a*j**3 - 80*j**2 + 78*j**2 - 95*j**3 - 108*j wrt j?
-666
What is the second derivative of 1232*u**4 - 135*u**4 - 1924*u + 4*u**2 - 9*u**4 - 4076*u - 3141*u wrt u?
13056*u**2 + 8
Let k(f) = 4*f**2 - 6*f - 16. Let y be k(-4). What is the second derivative of n**2 - 20*n**3 - 7*n**2 - y*n + 8*n**2 - n**2 wrt n?
-120*n + 2
Suppose 5*m - 4*l - 522 = 0, 2*m + 2*l = 47 + 169. What is the derivative of 18*i - 31*i - 33 + m - i**3 - 24*i wrt i?
-3*i**2 - 37
Let f(v) be the third derivative of 635*v**4/12 - 785*v**3/2 + 1679*v**2 - 3. Differentiate f(k) wrt k.
1270
Suppose -4*u = a - 8, 4*u - 4*a = -22 + 30. What is the second derivative of n + 4*n - 7*n + 6*n + 10 + u*n**2 - 4*n**2 wrt n?
-4
Let z(p) = 1850*p**3 - 9*p**2 - 4*p - 4959. Let g(l) = -3*l**3 + 3*l**2 + l. Let i(t) = -3*g(t) - z(t). What is the first derivative of i(f) wrt f?
-5523*f**2 + 1
Find the third derivative of -6615*y**3 - 222 + 66 - 11*y**2 + 321 wrt y.
-39690
Let i be (-9)/(-2) - (-3)/(-6). Find the second derivative of -60*q**i - 2*q + 205*q**4 - 4 - q wrt q.
1740*q**2
Suppose -5*m + 40 = y + 3*y, -2*m - 5*y = 1. Suppose 0 = -m*z + 58 + 2. What is the third derivative of 32*p**5 - 6*p**z + 7*p**2 + 8*p**2 + 6*p**2 wrt p?
1560*p**2
Suppose -8*u + 4*u + 4 = 4*w, -3*u + 11 = 5*w. What is the third derivative of -91 + h**2 + 1143*h**4 - 1143*h**w - 43*h**5 wrt h?
-2580*h**2
Let n be (-12*(-1)/40)/(3 - 116/40). Let p(a) be the first derivative of 0*a**2 - 2*a**n + 0*a - 3/4*a**4 + 26. What is the third derivative of p(b) wrt b?
-18
Let n = -86 + 97. Let a(p) = 141*p**2 - 106*p + 5. Let u(j) = 282*j**2 - 213*j + 9. Let w(z) = n*a(z) - 6*u(z). Find the second derivative of w(i) wrt i.
-282
Let f(l) be the first derivative of 7*l**6/6 + 197*l**4/2 + 1231*l**3/3 - l**2/2 + 4655. What is the third derivative of f(r) wrt r?
420*r**2 + 2364
Let c = 1056 - 980. What is the third derivative of 159*u**4 - 67*u**4 - 430*u**4 + c*u**2 + 37*u**2 wrt u?
-8112*u
Let m(w) be the third derivative of 0*w**4 + 0*w - 26*w**2 - 7/5*w**5 + 0 + 0*w**3 - 3/8*w**6. Find the third derivative of m(h) wrt h.
-270
Suppose -30 = -3*k + 39. Let p(i) = -3*i + 8*i + k*i**2 - 2*i - 10. Let l(q) = -q. Let a(r) = 3*l(r) + p(r). Differentiate a(t) wrt t.
46*t
Let o(c) be the first derivative of 423*c**4 - 2*c**3/3 - 580*c - 5487. Differentiate o(a) with respect to a.
5076*a**2 - 4*a
Let s(r) be the first derivative of 60 + 14*r - 53/3*r**3 + 0*r**2. What is the derivative of s(z) wrt z?
-106*z
Let n be (-14)/(-4) + 4/8. Suppose -3*t = 4*i - 11, -n*t - i = -0*i - 19. Find the second derivative of 5*u**3 - t*u**3 - 2*u + 12*u**3 - 2*u wrt u.
72*u
Let s(i) = -16*i**2 + 39*i - 2027. Let x(q) = 14*q**2 - 28*q + 2025. Let b(v) = -2*s(v) - 3*x(v). What is the derivative of b(t) wrt t?
-20*t + 6
Let a(y) be the second derivative of y - 53*y**2 + 0*y**3 + 13/12*y**4 + 56. Differentiate a(w) with respect to w.
26*w
Let d(i) be the first derivative of 1039*i**2/2 + 274*i - 2. Find the first derivative of d(j) wrt j.
1039
Let g(x) be the third derivative of x**9/252 - 11*x**8/6 + 1667*x**5/60 + x**2 - 519. What is the third derivative of g(s) wrt s?
240*s**3 - 36960*s**2
Suppose 45*x = 4*x + 4879. What is the second derivative of -3*u + 13*u**4 + 109*u**4 + 48 + x*u**4 wrt u?
2892*u**2
Suppose -16*g + 21*g - 5 = 0. Suppose -3*c + 8 = -g. What is the third derivative of 438*h**2 + c*h**5 - 482*h**2 - 3*h**5 + 50*h**6 wrt h?
6000*h**3
Let w(d) = -5*d - 175. Let k be w(-36). What is the third derivative of 0*l**k + 98*l**2 + l**5 - 36*l**4 + 64*l**4 + 66*l**2 wrt l?
60*l**2 + 672*l
Differentiate -486*k + 6546 + 1016 - 6096*k wrt k.
-6582
Let x(a) be the third derivative of -29*a**8/14 + 53*a**5/60 - a**4/3 - a**2 + 219*a. What is the third derivative of x(c) wrt c?
-41760*c**2
Let c(o) be the second derivative of -3*o**8/56 + o**7/42 + 7*o**5/20 - 433*o**4/12 + o**2/2 + 5122*o. Find the third derivative of c(r) wrt r.
-360*r**3 + 60*r**2 + 42
Let z(q) = q**2 - 33*q - 8. Let b be z(37). Find the third derivative of -68*u**4 - 95*u - 27*u - b*u**4 + 3*u**2 - 4*u**2 wrt u.
-4992*u
Let j(w) be the first derivative of 0*w**4 + 202/3*w**3 + 0*w**5 - 90/7*w**7 + 0*w**2 + 0*w**6 + 0*w + 23. Find the third derivative of j(f) wrt f.
-10800*f**3
Let c be 1/(-7) - -1751*(-2)/(-14). Find the third derivative of -3*w + 114*w**5 + 4*w + 99*w**5 - w**2 - c*w**5 wrt w.
-2220*w**2
Let i = -519 - -844. Differentiate -42*a + 662 - i - 328 with respect to a.
-42
Suppose -50 = 2*a - 48. Let b(j) = 7*j + 23. Let t(u) = 2*u - 1. Let q(x) = a*b(x) + 2*t(x). Differentiate q(l) wrt l.
-3
Let z(k) be the second derivative of -63*k**5/5 + k**3/2 - 1459*k**2/2 + 100*k + 3. Find the first derivative of z(o) wrt o.
-756*o**2 + 3
Suppose -48 = -36*a + 12*a. What is the third derivative of 9*r**a + 7*r**4 - 27*r**4 + 18*r**2 + 5*r**4 wrt r?
-360*r
Let z(o) be the third derivative of 0 - 28/3*o**3 + 9*o + 23/60*o**5 + 3*o**2 - 1/24*o**4. Differentiate z(c) with respect to c.
46*c - 1
Let k(n) be the first derivative of -3*n**7/7 - 11*n**6/2 + n**4 - 10*n**3/3 + 3*n**2/2 - 9*n - 1981. Find the third derivative of k(v) wrt v.
-360*v**3 - 1980*v**2 + 24
Find the second derivative of 249*z + 3866730*z**3 - 2435*z**4 - 3866730*z**3 + 4 wrt z.
-29220*z**2
Let r(p) = -p**3 + 4*p**2 + 7*p - 8. Let y be r(5). Find the second derivative of -y*o - 7*o - 108*o - 19*o + 139*o**3 wrt o.
834*o
Let k(x) be the second derivative of 76*x**5/5 - x**4/6 - 787*x**3/6 + 4051*x. What is the second derivative of k(i) wrt i?
1824*i - 4
Let l(c) be the first derivative of -26*c - 38/5*c**5 + 0*c**3 + 65 + 0*c**4 + 0*c**2. Find the first derivative of l(r) wrt r.
-152*r**3
Suppose -2*t = -4*k - 26, -5*t + 2*k = 3*k - 21. Find the second derivative of 48*i - 147*i**5 + 0 + 18*i**t + 10*i**5 - 28*i**5 + 1 wrt i.
-2940*i**3
Let d(j) be the second derivative of 2963*j**4/12 + j**3/3 + 1019*j**2/2 - j + 656. What is the second derivative of d(f) wrt f?
5926
Let v(z) = -6*z - 27. Let o be v(-5). Let q = 47 - 43. What is the first derivative of -25 - 2*x**o + q*x**3 - x**3 + 5*x**3 wrt x?
18*x**2
Suppose 52*t - 46*t + 18 = 0. Let c(x) = -2*x**2 + 2*x + 88. Let f(d) = -2*d**2 + d + 89. Let a(s) = t*c(s) + 4*f(s). Differentiate a(i) wrt i.
-4*i - 2
Let s(z) be the first derivative of -25*z + 0*z**2 - 220/3*z**3 - 118. Differentiate s(b) with respect to b.
-440*b
Find the third derivative of 12*f**4 + 10685*f**3 - 259*f**2 - 10779*f**3 - 109*f**2 wrt f.
288*f - 564
Let h(b) be the second derivative of -17*b**6/15 - b**4/6 + 103*b**3/3 + 650*b + 1. What is the third derivative of h(k) wrt k?
-816*k
Let z(a) = 12*a**2 + 5*a - 13. Let k(x) = x - 2. Let f(g) = 4*k(g) + 2*z(g). Let n(m) be the first derivative of f(m). Differentiate n(p) with respect to p.
48
Let p(h) = 1094*h**3 + 62*h**2 + 6*h - 24. Let x(m) = -m**3 + m**2 + m - 4. Let d(r) = p(r) - 6*x(r). What is the third derivative of d(f) wrt f?
6600
Let k(j) = -2*j**2 + 3*j + 10. Let b be k(3). Let s be (-117)/(-36) - b/4. Find the third derivative of s*n**3 - 13*n**3 + n**2 + 29*n**2 + n**3 wrt n.
-54
Let l(s) = -8*s**2 - 4*s + 199. Let a be l(0). Find the third derivative of -a*x**6 - 17*x**2 - 3*x - x**2 + 9*x**2 wrt x.
-23880*x**3
Let k(j) be the first derivative of 699*j**4/2 + 120*j**3 + 857. Find the third derivative of k(p) wrt p.
8388
Let f(g) be the first derivative of 13*g**5/60 - 13*g**4/4 + 19*g**3 + 28. Let z(q) be the third derivative of f(q). Differentiate z(k) wrt k.
26
What is the second derivative of -22*v + 37 - 1 - 425*v**5 - 25 - 2381*v**5 + 514*v**5 wrt v?
-45840*v**3
Let f(c) = c + 45. Let q be f(9). Find the third derivative of 36*k**3 - 13*k**3 + 4*k**2 - 1 - q*k**4 - 23*k**3 wrt k.
-1296*k
What is the second derivative of 8*d**2 - 3*d**5 + 218796*d + 7*d**2 - 221484*d wrt d?
-60*