 wrt o.
-340*o**3
Let g(f) be the third derivative of 61*f**5/12 + 100*f**3 + 574*f**2. Differentiate g(j) wrt j.
610*j
Let g = -27481/2 + 13744. Let t(d) be the first derivative of -g*d**2 + 16*d + 6. What is the first derivative of t(q) wrt q?
-7
Let g(a) be the first derivative of -a**5/5 - a**4/4 - 345*a**3 - 100*a**2 - 11*a + 11968. Find the second derivative of g(m) wrt m.
-12*m**2 - 6*m - 2070
What is the derivative of 48*f - 2980 - 29*f + 16*f**2 - 123*f wrt f?
32*f - 104
Let t(j) = -2*j**2 + 19*j + 48. Let f be t(11). What is the third derivative of f*a**2 + 0*a**2 + 21*a**2 - 21*a**3 + 2*a**4 + 29*a**2 wrt a?
48*a - 126
Let b(m) be the first derivative of -24*m**5/5 - 13*m**4/4 - 546*m - 157. What is the derivative of b(v) wrt v?
-96*v**3 - 39*v**2
Let s(h) = h**3 - 8*h**2 + 7*h + 3. Let g be s(7). What is the second derivative of 4*x**3 + 14*x**3 + 14*x**3 + 10*x**g - 70*x wrt x?
252*x
Suppose -22*i + y - 3 = -23*i, -13 = -4*i - 5*y. Find the third derivative of -16*t**6 + 4*t**3 - 3 - 963*t**i + 3 + 864*t**2 wrt t.
-1920*t**3 + 24
Let i(v) = 248*v**5 + 26*v**4 - 946*v**2. Let x(p) = -372*p**5 - 39*p**4 + 1418*p**2. Let y(c) = 14*i(c) + 9*x(c). Find the third derivative of y(t) wrt t.
7440*t**2 + 312*t
Find the third derivative of 1734*a**6 + 2 - 268*a + 1581*a - 1485*a**6 + 1313*a + 3946*a**6 - a**2 wrt a.
503400*a**3
Let b be (-117)/(-27) + 2/(-6). Suppose -z - 4*z - 15 = 0, -b*y - 4*z - 4 = 0. What is the first derivative of 5*w**2 - 3 + 2 + 11 + y wrt w?
10*w
Let p = 8385 - 8361. Let x(y) be the second derivative of -p*y - 12*y**2 + 0 - 7/12*y**4 + 0*y**3. Differentiate x(a) wrt a.
-14*a
Let o(z) = 0*z**2 - z**2 + 2*z**2 + 1 - 6*z + 5. Let i be o(6). What is the third derivative of 113*n**6 + 8*n**2 - 94*n**i + 21*n**2 wrt n?
2280*n**3
Let s(a) = -2*a**2 - 28*a - 46. Let f be s(-12). Let n = 26 + -11. Differentiate n*i**2 - 15*i**f - 11 + 8*i**4 + 41 with respect to i.
32*i**3
Suppose -12 = -6*q - 0. Differentiate -229 - 242 + 429 + 3*k**q - 14*k**4 with respect to k.
-56*k**3 + 6*k
Let o(y) be the second derivative of 2 - y**2 + 0*y**3 - 109/20*y**5 + 49/12*y**4 + 9*y. What is the third derivative of o(r) wrt r?
-654
Let b(y) = 2*y**2 + 4*y + 1. Let r be b(-3). Let v(n) = -n**2 + 6*n + 9. Let a be v(r). Find the first derivative of 6 + 12 + 11*g**2 - a - 9*g**2 wrt g.
4*g
Suppose 62*x - 20 = 52*x. Find the second derivative of -151*v**x + 26*v + 120*v - 9*v wrt v.
-302
Let u(f) = f**2 - 10*f - 37. Let y be u(13). Differentiate -115*v - 103 + 19*v**y + 115*v with respect to v.
38*v
Suppose 8*u + 8 = 64. Suppose l = -u*l + 40. What is the first derivative of 0*s - 199 + 181 - l*s wrt s?
-5
Let u = 349 - 346. Find the second derivative of -16 + u - 32*q**2 - 5 + 3*q**3 + 3*q - 5*q**3 - 17*q**2 wrt q.
-12*q - 98
Let l(u) = 4*u**2 - 2*u + 3. Let n be l(1). Find the third derivative of s**n - 33*s**2 + 37*s**5 - 85*s**2 + 29*s**5 wrt s.
4020*s**2
Let l = 3 + 3. What is the third derivative of -4*t**2 + 2*t - l*t + 18*t + 27*t**3 + 2*t**4 wrt t?
48*t + 162
Let k(x) = -x**2 - 9*x + 2. Let n be k(-9). Suppose y - 30 = -4*w, -n*w + 3 + 45 = 2*y. Find the second derivative of 26*f + y*f**3 + 28*f**3 + f + 11*f wrt f.
300*f
Let a(l) be the first derivative of 309*l**4 - 8812*l + 8317. What is the first derivative of a(n) wrt n?
3708*n**2
Let o(v) be the first derivative of -5*v**7/7 - 483*v**5/5 + 2*v**3/3 + 62*v**2 + 2684. What is the third derivative of o(f) wrt f?
-600*f**3 - 11592*f
Let v(w) = -28*w**2 - w + 1. Let l be v(1). Let c = 47 + l. Find the second derivative of -7*m**2 + c*m**2 + 0*m + 5*m + 10*m wrt m.
24
Let m be -3 - (0 - (0 - 1)). Let u(z) = z**3 + 6*z**2 + 4*z - 8. Let r be u(m). Find the second derivative of r*i**3 + 29*i - 38*i + 24*i wrt i.
48*i
Let s(j) = 695*j**2 + 2*j - 722. Let c(o) = 2779*o**2 + 9*o - 2891. Let v(h) = -4*c(h) + 18*s(h). Find the first derivative of v(u) wrt u.
2788*u
Let b(y) be the first derivative of -y**4 - 4*y**3/3 - 36*y**2 - 5021*y + 1523. Differentiate b(l) wrt l.
-12*l**2 - 8*l - 72
Let m(s) be the third derivative of -s**6/60 - 8*s**5/15 + 437*s**4/24 - 1220*s**2. Find the second derivative of m(q) wrt q.
-12*q - 64
Suppose 47 - 50 = -r. Let o be r - ((-15)/(-20))/((-2)/8). Find the second derivative of 22*f**2 + 34*f - o*f**2 - 13*f wrt f.
32
Let k = -14175 - -850513/60. Let o(i) be the third derivative of 0*i + 0 - 23/24*i**4 + 14*i**2 + 0*i**3 + k*i**5. Find the second derivative of o(x) wrt x.
26
Let q be 12 - 7 - 3/1. Suppose 0 = 5*b - q*b - 6. What is the first derivative of -29 - 4*m**2 + 31*m**b - 2*m**2 wrt m?
50*m
Suppose 2*t = 4*f + 60, 0*f - 85 = -2*t - f. Let d = -37 + t. What is the third derivative of 26*i**2 + 316*i - 10*i**3 - 316*i - 12*i**d wrt i?
-132
Let q(i) = 113*i**2 + 10*i + 74. Let t(c) = 224*c**2 + 18*c + 142. Let v(o) = 7*q(o) - 4*t(o). What is the second derivative of v(h) wrt h?
-210
Let p = 244 + -242. What is the first derivative of 59*s**2 + 81*s**2 - 97*s**p - 33 wrt s?
86*s
Let v(g) be the first derivative of 1/6*g**6 + 0*g**5 + 0*g**2 + 109/3*g**3 + 0*g + 23/4*g**4 + 176. What is the third derivative of v(z) wrt z?
60*z**2 + 138
Let r(u) be the third derivative of u**7/210 + 389*u**5/15 - 443*u**4/8 - 1081*u**2. Find the second derivative of r(t) wrt t.
12*t**2 + 3112
Let c(q) be the third derivative of -q**7/210 + 4517*q**6/120 - 129*q**5/5 + 7413*q**2. Find the third derivative of c(k) wrt k.
-24*k + 27102
Let i(t) be the first derivative of -157*t**5/5 - 2*t**3/3 - t**2/2 - 75*t + 1239. Find the second derivative of i(n) wrt n.
-1884*n**2 - 4
Suppose 640 = 12*z - 4*z. What is the second derivative of 18*g + 68*g + 15*g + 59*g + z*g**4 wrt g?
960*g**2
Suppose 5*v - 1 = 4*v + 3*i, -v = 4*i - 8. Suppose 1 = 2*m + 4*a - 47, m = 4*a. What is the second derivative of -2*n**3 - v - 4 + m*n + 8 wrt n?
-12*n
Let p(w) be the first derivative of 138*w**5/5 - 2*w**3/3 + 2516*w + 2092. Differentiate p(r) wrt r.
552*r**3 - 4*r
Suppose 66 = -29*f + 51*f. What is the third derivative of 69*d**4 - 11*d**3 + 186*d**2 - 11*d**3 + 160*d**4 + 22*d**f wrt d?
5496*d
Let r(o) be the first derivative of 2*o**3/3 + 78*o**2 + 1656*o + 808. Differentiate r(n) with respect to n.
4*n + 156
Find the third derivative of 68*i**2 + 66*i**6 - 45*i**2 - 3736*i**6 - 18 + 56 wrt i.
-440400*i**3
Let g(j) = j**3 + 218*j**2 - 125. Let f(q) = 3*q**3 + 650*q**2 + q - 377. Let y(s) = 2*f(s) - 7*g(s). What is the second derivative of y(b) wrt b?
-6*b - 452
Find the third derivative of -76*n**3 - 20*n**2 + 320*n**4 + 24*n**3 + 5 - 98*n**4 + 5 + 47*n**3 wrt n.
5328*n - 30
Suppose 11*z - 2790 = -20*z. What is the third derivative of 537 - 536 - z*v**3 + v**6 - 59*v**3 + 48*v**2 + 48*v**3 wrt v?
120*v**3 - 606
Suppose 0 = -5*m + 201 - 191. What is the derivative of 0*y**2 - 14 + 6 + 146 + 12*y**2 - 6*y**m + 8*y wrt y?
12*y + 8
Let f(z) be the second derivative of 1/2*z**3 + 0 + 59/2*z**2 - 119*z. Find the first derivative of f(p) wrt p.
3
Let y(q) = -2*q**3 + q**2 - 2*q - 7. Let n(x) = x**2 + 1. Let w(b) = -6*n(b) - y(b). Let f be w(4). Differentiate -14 + 38*z**3 - f*z**3 - 36*z**3 wrt z.
-69*z**2
Let k(y) = y + 7. Let t be k(-3). Suppose -3*i - 27 = -3*m, -m + t*i - 7 = -25. Find the third derivative of 49*l**m - 6*l**2 + 63*l**6 - 95*l**6 wrt l.
2040*l**3
Differentiate 10*v + 1885 + 1215 - 509 + 180*v**2 - 206*v**2 + 2*v**3 wrt v.
6*v**2 - 52*v + 10
Let j(q) be the second derivative of -2267*q**5/20 - q**4/4 + 499*q**2/2 - 1139*q. What is the third derivative of j(n) wrt n?
-13602
Let f(i) = -3509*i**3 - 11556*i**2 + 18. Let o(y) = 2631*y**3 + 8667*y**2 - 14. Let s(l) = -7*f(l) - 9*o(l). What is the third derivative of s(q) wrt q?
5304
Let k(m) be the first derivative of 3*m**4/2 + 31*m**3/3 + m**2 - 105*m + 2875. Find the second derivative of k(h) wrt h.
36*h + 62
Suppose 8*s - 3*s - 4*r - 46 = 0, -4*s - 3*r + 43 = 0. Find the second derivative of -21 - 17*i**3 - 17*i**3 + 20 + s*i wrt i.
-204*i
Let q = -115 + 115. Find the third derivative of q*a**3 - a**3 - 2*a**3 - 21*a**5 + 9*a**5 - 42*a**2 wrt a.
-720*a**2 - 18
Let m(r) = -6075*r**2 + 225*r + 2284. Let l(q) = 6075*q**2 - 210*q - 2281. Let k(j) = 15*l(j) + 14*m(j). Differentiate k(b) with respect to b.
12150*b
What is the second deriv