) wrt i.
888*i
Differentiate -12*i**3 + 10*i - 10*i + 244 - 4*i**4 - 559 + 2*i**3 with respect to i.
-16*i**3 - 30*i**2
Suppose 18*j = 9*j + 342. Find the third derivative of j*i**2 - 15*i**4 - 7111*i**3 + 7111*i**3 wrt i.
-360*i
Let b(o) = 83*o - 37. Let q(a) = -2. Let n(r) = -b(r) + 3*q(r). Differentiate n(l) wrt l.
-83
Let w be (2 + -2)*(-4 - -3). Let v(r) be the first derivative of w*r**3 + 0*r**2 - r + 1 + 5/4*r**4. Differentiate v(s) with respect to s.
15*s**2
Let b(y) be the third derivative of -1/30*y**7 - 4*y**2 - 11/60*y**5 + 0*y**4 + 0*y**3 + 0*y + 0 + 0*y**6. What is the third derivative of b(i) wrt i?
-168*i
Find the third derivative of 17*c**2 + 32*c**2 + 3*c**2 + 17*c**2 + 74*c**4 wrt c.
1776*c
Let r = 4 - 0. Differentiate -l**2 + 4*l**r + l**2 - 2 + 6 with respect to l.
16*l**3
Suppose 60*q - 91*q + 341 = 0. Let f(p) be the second derivative of 0*p**2 + 0 + 1/2*p**3 + q*p + 1/12*p**4. What is the second derivative of f(m) wrt m?
2
Suppose 3*v - 48 = -2*f + 5*v, 2*v + 100 = 4*f. Find the third derivative of 64*p**4 - 31*p**4 + 14*p**2 - f*p**4 wrt p.
168*p
Let k(l) = l**3 - l**2 + l - 1. Let a(x) = 2*x**2 + 432*x + 471. Let b(y) = -a(y) - 2*k(y). Differentiate b(i) wrt i.
-6*i**2 - 434
Suppose 4*f + f = 3*b + 3, 3*b - 21 = -3*f. Suppose -b*k = -3 - 5. What is the third derivative of -15 + k*u**2 + 3*u**3 - 2*u**3 + 15 wrt u?
6
Let j(p) = -146*p**2 - 6*p + 7. Let y(z) = -144*z**2 - 5*z + 6. Let g(a) = 2*j(a) - 3*y(a). What is the second derivative of g(t) wrt t?
280
Let a(b) be the second derivative of 0*b**3 + 19/12*b**4 + 0*b**2 + 0*b**5 - 19/56*b**8 + 0*b**6 + 0*b**7 - 5*b + 0. What is the third derivative of a(i) wrt i?
-2280*i**3
Let o = 50 - 45. Find the second derivative of -12*p**o - 11*p + 0*p**5 + 8*p + 0*p wrt p.
-240*p**3
Let v(r) be the first derivative of -4/3*r**3 - 8 - r**2 + 0*r. What is the second derivative of v(p) wrt p?
-8
Let i(b) = 84*b + 58. Let k(a) = -85*a - 58. Let s(n) = 4*i(n) + 5*k(n). What is the derivative of s(q) wrt q?
-89
Suppose 0 = k + 3*k - 20. Let i(l) be the first derivative of 2*l**2 - 2*l**3 + 2*l**2 + l**k + 9 - 4*l**2. What is the third derivative of i(y) wrt y?
120*y
Let a(i) be the third derivative of -117*i**6/40 - 13*i**5/60 + i**4/6 - 33*i**2 - 2*i. What is the third derivative of a(j) wrt j?
-2106
Suppose 0*f + t = 3*f - 72, -5*f = 3*t - 134. Suppose 4*a - 5*o = -2*o + 27, 5*a = -3*o + 27. Find the third derivative of 3*p**2 + f - 3*p**a - 25 wrt p.
-360*p**3
Let q(j) = 2*j + 41. Let x be q(-19). What is the second derivative of 19*a**x - 42*a - 38*a + 91*a wrt a?
114*a
Let l(p) = p**3 + p. Let x(y) = -4*y - 9*y - 3*y + 3*y**3 - 18*y**3. Let z(m) = 3*l(m) + x(m). Find the second derivative of z(h) wrt h.
-72*h
Let j be ((-12)/(-20))/(1/10). Let v = j + -3. What is the third derivative of 6*t + 7*t**v - 2*t**2 + 6*t - 12*t wrt t?
42
Let i = -327 + 1963/6. Let t(o) be the second derivative of i*o**4 + 0*o**3 - 3*o**2 + 0 + 3*o. Find the first derivative of t(a) wrt a.
4*a
Let a(z) be the first derivative of -415*z**4/2 + 770*z - 911. Differentiate a(w) wrt w.
-2490*w**2
Let a(n) = -3*n**3 + 7*n**2 - 4*n + 1. Let j be a(5). Let d be ((-2)/(-3))/((-1)/j). What is the third derivative of 7*s**2 + 146 + 5*s**3 - d wrt s?
30
Let x(r) be the first derivative of -258 + 243 - 66*r + 22*r**2 + 18*r. What is the derivative of x(c) wrt c?
44
Let k(z) be the third derivative of 0*z - 1/6*z**6 + 11*z**2 + 0 - 2*z**3 + 0*z**4 + 0*z**5. What is the derivative of k(q) wrt q?
-60*q**2
Suppose -u + 4*h + 14 = -0*u, -3*u = -4*h - 18. Let p(a) = a - 1. Let c be p(5). Find the third derivative of -6*d**4 - d**4 + u*d**c + 4*d**2 - d**4 wrt d.
-144*d
Let n(d) = 893*d**3 + 95*d**2 + 3*d - 19. Let s(l) = -2679*l**3 - 284*l**2 - 8*l + 51. Let u(h) = -8*n(h) - 3*s(h). Find the third derivative of u(z) wrt z.
5358
Let x(z) be the first derivative of -z**5/4 + z**3/2 - z**2 + 7. Let g(i) be the second derivative of x(i). What is the derivative of g(r) wrt r?
-30*r
Let v(h) be the second derivative of h**6/15 - 17*h**5/20 + 43*h**2 - h + 16. What is the first derivative of v(t) wrt t?
8*t**3 - 51*t**2
Let p(f) be the second derivative of f**6/30 + 37*f**4/6 + 255*f**2/2 - 85*f. Differentiate p(h) wrt h.
4*h**3 + 148*h
Let r(a) = 200*a**4 + 2*a**3 - 198. Let y(i) = -i**4 + 2. Let v(f) = r(f) + 12*y(f). What is the derivative of v(p) wrt p?
752*p**3 + 6*p**2
Let o(w) = 3*w + 10. Let n(g) = 39 + 3*g + 6*g - 8. Let s(x) = 4*n(x) - 11*o(x). Find the first derivative of s(v) wrt v.
3
Let r(o) = -20*o - 120. Let v(w) = 21*w + 123. Let t(c) = 3*r(c) + 4*v(c). Differentiate t(j) with respect to j.
24
Let b(o) = 59*o**5 + 3*o**4 + 28*o**2 + 3*o. Let f(l) = -l**5 - l**4 - l**2. Let h(z) = b(z) + 3*f(z). What is the third derivative of h(u) wrt u?
3360*u**2
Let y(v) be the first derivative of 3*v**5/5 + 11*v**2/2 - 92*v + 52. What is the first derivative of y(o) wrt o?
12*o**3 + 11
Differentiate -21*o - 59*o + 9*o - 91 - 55*o wrt o.
-126
Suppose 0 = 5*c - 16 - 4. Suppose 0 = c*h - 5*z - 49, 11 = -3*h + 2*z + 46. Find the third derivative of 21*q**3 + q**2 - 21*q**3 - h*q**6 wrt q.
-1320*q**3
Let j = 82 - 58. Find the second derivative of -j*m**3 + 16*m**2 - 25*m + 15*m**2 - 31*m**2 wrt m.
-144*m
Let d = 65 - 63. What is the third derivative of -23*w**d + 8*w**3 + 17*w**3 - 5*w**3 wrt w?
120
Let v(p) be the second derivative of -6*p + 0*p**2 + 0*p**3 + 0*p**5 + 5/3*p**4 + 0*p**6 - 9/14*p**7 + 0. What is the third derivative of v(f) wrt f?
-1620*f**2
Let m be (-2)/(-7) - 191/7. Let o = m + 43. Differentiate 12*f + 14 - 21 + o - f with respect to f.
11
Suppose -2*p + 313 = 305. Let v(n) = n**3 - 3*n**2 + 2*n - 2. Let f be v(3). Differentiate l**p + 1 + 5*l**4 + f - 2 wrt l.
24*l**3
Let j(q) = -q - 7. Let h be j(-11). Let z be (h/(-4))/2*-6. What is the third derivative of -z*t**6 + 6*t**6 + 7*t**2 - 3*t**2 wrt t?
360*t**3
Let c(u) be the third derivative of u**7/840 + 3*u**4/8 - 4*u**3/3 - 3*u**2. Let z(y) be the first derivative of c(y). Find the first derivative of z(h) wrt h.
3*h**2
Let c(t) = -t**2 - 2*t + 26. Let y be c(0). Find the second derivative of 10*q - y*q**4 + 4*q**4 + 6*q**4 wrt q.
-192*q**2
Find the second derivative of 503*i**2 - 107*i**2 - 103 + 58*i + 31*i - 86*i wrt i.
792
What is the third derivative of -15*i**2 + 8*i**2 - 52*i**5 + i - 20*i**2 - 13*i**2 wrt i?
-3120*i**2
Let b(u) = 208*u - 149. Let m(n) = -2*n - 2. Let o(f) = b(f) + 4*m(f). Differentiate o(k) with respect to k.
200
Let y(r) = 648*r**2 + 760*r. Let k(b) = -648*b**2 - 757*b. Let t(g) = -3*k(g) - 4*y(g). Find the second derivative of t(j) wrt j.
-1296
Suppose -66 = -2*f + 200. Let t be f/(-14)*(2 + -4). What is the second derivative of t*h - 15*h + 6*h**5 - h**5 wrt h?
100*h**3
Let r be 2*(13/(-2))/(-1). What is the third derivative of -25*h**4 + r*h**2 + 10*h**4 - 6*h**4 wrt h?
-504*h
Let n = 343/228 + -1/228. Let y(g) be the first derivative of 0*g**3 - g**5 + 0*g**4 + 2 + 0*g - n*g**2. Find the second derivative of y(m) wrt m.
-60*m**2
Suppose -4*g + 1 + 7 = 0. Let p = -23 - -27. Find the third derivative of -6*m**2 + 2*m**2 + 0*m**4 - m**p - g*m**2 wrt m.
-24*m
Let q(y) be the second derivative of -79*y**8/56 - y**7/21 - y**4/6 + 2*y**3/3 + 92*y. Find the third derivative of q(a) wrt a.
-9480*a**3 - 120*a**2
Let k = 62 + -62. What is the derivative of 7 + 7 - 7*r**2 + k wrt r?
-14*r
Find the third derivative of 17*g**5 + g - g**5 - 9*g**6 - 20*g**5 - 61*g**2 wrt g.
-1080*g**3 - 240*g**2
Let q(p) = 7*p**3 - 67*p**2 - 6*p + 91. Let b(f) = -8*f**3 + 66*f**2 + 7*f - 91. Let m(z) = -6*b(z) - 7*q(z). Differentiate m(t) with respect to t.
-3*t**2 + 146*t
Let i(s) be the second derivative of -115*s**7/42 + 11*s**3/6 - 37*s**2/2 + s - 99. What is the second derivative of i(p) wrt p?
-2300*p**3
Suppose 4*i + 5*p = 2*i - 4, 0 = -3*i + 3*p + 36. Let m be 1/1 - 2/(-2). What is the second derivative of -8 + 7*h + i + 4*h + 15*h**m wrt h?
30
Let h(s) be the first derivative of 5/6*s**4 - 3/2*s**2 + 0*s**3 - 5 + 8*s. Let m(a) be the first derivative of h(a). Differentiate m(b) wrt b.
20*b
Let x(l) be the second derivative of 11*l + 0*l**4 + 0*l**5 + 0*l**2 + 1/6*l**7 + 0*l**6 - 2*l**3 + 0. Find the second derivative of x(i) wrt i.
140*i**3
Let k(v