rd derivative of 20*k**3 + 12*k**3 + 5*k**y - 34*k**g wrt k.
-12
Let z = 33 + 22. Find the second derivative of 1 - 12 - 13*x - 129*x**5 + 14*x + z*x**5 wrt x.
-1480*x**3
Let x be 8/14 + (-225)/(-35). Let s be (-1 + 4)*1/(-3) + x. Find the third derivative of -1081 - 4*w**2 - 6*w**s - 8*w**2 + 1081 wrt w.
-720*w**3
Find the second derivative of 345*m - 25*m + 254*m + 73*m**3 + 2607*m**5 + 1 - 73*m**3 wrt m.
52140*m**3
Let o(h) = 5*h - 2*h + 17*h - 122 - 26*h**2. Let q(m) = -9*m**2 + 7*m - 41. Let i(y) = 6*o(y) - 17*q(y). Differentiate i(j) wrt j.
-6*j + 1
Let g(q) = 519*q**2 - 976*q - 31. Let t(l) = -104*l**2 + 195*l + 6. Let w(f) = -2*g(f) - 11*t(f). What is the second derivative of w(j) wrt j?
212
Suppose -5*y = -10*y + 5*t, 0 = 5*y + t - 24. Differentiate -74 - y*u**3 + 5*u**3 + 695*u**4 - 691*u**4 - 35 with respect to u.
16*u**3 + 3*u**2
Let o be (6/(-18))/(2 - (-91)/(-45)). Suppose o*i = 13*i + 8. What is the third derivative of 20*v**2 - i*v**6 + 5*v**6 + 6*v**6 wrt v?
840*v**3
Suppose 32*i - 129 = 20*i - 31*i. Let y(q) be the first derivative of 0*q**4 + 0*q**2 + 25*q + 29/5*q**5 + 0*q**i + 14. Differentiate y(h) wrt h.
116*h**3
Let k(c) = -23*c + 361. Let h be k(14). Find the second derivative of -172*p - 131*p**5 + h*p + 2*p**4 - 77*p**5 - 2*p**4 wrt p.
-4160*p**3
Let i(b) be the first derivative of 360*b**3 + 615*b + 428. Differentiate i(h) with respect to h.
2160*h
What is the third derivative of 5104*x**3 + 1769*x**2 + 1089*x**2 + 5427*x**3 - 256*x**2 - 467*x**2 wrt x?
63186
Let f(s) be the second derivative of 137*s**4/6 - 401*s**3/3 - 558*s. What is the second derivative of f(r) wrt r?
548
Find the third derivative of 2*y**4 - 372*y**5 + 3895285 + 796*y**2 - 3895285 wrt y.
-22320*y**2 + 48*y
Let s(n) be the first derivative of -139*n**3/3 + n**2/2 + 1123*n + 744. What is the derivative of s(g) wrt g?
-278*g + 1
Let u = 350 + -217. Let d be u/21 + (-4)/3. What is the third derivative of 11*n**5 + 9*n**2 - 6*n**5 - 9*n**d wrt n?
-240*n**2
Let h(j) be the third derivative of -1801*j**8/336 - 779*j**5/20 + 8*j**2 + 38*j + 2. What is the third derivative of h(f) wrt f?
-108060*f**2
Let b(z) = -3499*z**2 + 5192*z + 62. Let u(w) = -3499*w**2 + 5191*w + 82. Let v(s) = 4*b(s) - 3*u(s). Find the second derivative of v(n) wrt n.
-6998
What is the second derivative of 120 + 1680*y**4 - 8*y - 27 + 23 + 22 - 498*y**4 wrt y?
14184*y**2
Suppose -4*p - 2 = 2*l - 34, -5*l + 5*p + 5 = 0. Suppose -d + l = 2*d. Find the third derivative of 80*c**3 - 5*c**5 - c**5 - 80*c**3 - 5*c**d wrt c.
-360*c**2
Let t = 22 - 13. Suppose -n = 4*a - 18, 5*a - 40 + 28 = 4*n. Find the second derivative of n*r**2 - 21*r - 20 - t*r + 20 wrt r.
4
Suppose 3*k + 2*d - 1450 = 0, 3*d - 2*d = -4*k + 1930. Find the third derivative of -25*c**2 - 3 - 397*c**5 + 3 + k*c**5 wrt c.
5100*c**2
Suppose 2*l + k = -4, 0*l + 2*l + 2*k + 8 = 0. Let d be -3 + 7 - (l + -16). What is the derivative of 5 - 6*v**2 - 2 - d + 22*v**2 wrt v?
32*v
Let v(b) = 8*b - 2*b + 23 + 5*b. Let r(z) = 5217*z**3 + 16 - 109 - 5216*z**3 - 44*z. Let l(s) = 2*r(s) + 9*v(s). What is the derivative of l(x) wrt x?
6*x**2 + 11
What is the first derivative of 51 - 488 + 79*x - 248 + 151 wrt x?
79
Let o = 131 + -126. What is the third derivative of 178*b**5 + 34*b**2 - 61*b**2 - 95*b**2 - 221*b**o wrt b?
-2580*b**2
Let n(w) be the third derivative of -w**8/4 - 53*w**6/120 + 113*w**4/2 + 3*w**2 + 314. What is the second derivative of n(o) wrt o?
-1680*o**3 - 318*o
Let b(f) be the third derivative of -2955*f**4/8 - 3547*f**3/6 - 4*f**2 + 9*f - 45. What is the derivative of b(g) wrt g?
-8865
What is the third derivative of -3405*f**3 + 714 - 361 - 354 - 557*f**2 - f wrt f?
-20430
Let q(d) = -d**2 - 8*d + 52. Let x be q(-12). What is the third derivative of -2*j**5 + 12*j**5 + 10*j**2 - 191*j**x + 192*j**4 wrt j?
600*j**2 + 24*j
Let r be (12 - 4)/4*1. Suppose -r*z = -5*z + 6. Find the third derivative of 0*v**2 + 2*v**z + 7*v**5 - 2*v**5 wrt v.
300*v**2
Let z(y) be the second derivative of -1/30*y**6 - 1 - 13/6*y**3 + 8/5*y**5 - 3*y + 0*y**4 + 3/2*y**2. What is the second derivative of z(m) wrt m?
-12*m**2 + 192*m
Let c = -179 + 125. Let p = 56 + c. What is the third derivative of -15*b**p + 15 - 15 + 5*b**3 wrt b?
30
Let t(k) be the third derivative of -k**6/60 + 257*k**5/20 - 13*k**4/4 - 2440*k**2. What is the second derivative of t(y) wrt y?
-12*y + 1542
Let a(p) = 241*p - 310. Let b(n) = n + 1. Let h(q) = 233*q - 315. Let j(c) = -5*b(c) - h(c). Let v(y) = -2*a(y) - 3*j(y). Differentiate v(s) wrt s.
232
What is the second derivative of 46729 - 46729 - 505*z**2 - 759*z**2 - 1980*z - 1166*z**2 wrt z?
-4860
Let c(l) be the third derivative of l**7/70 + 41*l**6/120 + 2015*l**3/6 - l**2 + 645*l. Find the first derivative of c(g) wrt g.
12*g**3 + 123*g**2
Let l(a) = a + 5. Let n be l(-5). Let s be (1 - 198)/(-1 - n). Find the first derivative of -8 + s*g - 197*g + 37*g**3 wrt g.
111*g**2
Suppose 2*z = -10, -h - 4*z = z + 25. Suppose -o + 6 = 2*q - 2*o, 4*o = h. Find the third derivative of -17 + 17 + 9*x**3 - q*x**2 wrt x.
54
What is the third derivative of -115*m**5 - 4*m**6 - 8*m**6 + 8*m**6 - 964*m + 1 - m**4 + 338*m**5 + m**2 wrt m?
-480*m**3 + 13380*m**2 - 24*m
Let u(x) be the second derivative of 35*x**4/3 - x**3/3 - 292*x**2 + 2985*x. What is the first derivative of u(w) wrt w?
280*w - 2
Suppose -3*w = -4*p - 9478, -3*w - 6*p + 3*p = -9471. What is the third derivative of -3239*q**2 + q**3 - 4*q**4 - 4*q**3 + w*q**2 wrt q?
-96*q - 18
Let q(p) = 75*p**4 - 32*p**2 + 4*p + 4. Let s(y) = -y - 2*y**4 - 1 - 5*y**2 + y**4 + 4*y**2. Let u(l) = q(l) + 4*s(l). Find the third derivative of u(j) wrt j.
1704*j
Let j(b) be the third derivative of 5*b**7/21 + 13*b**6/60 - 1847*b**4/24 - 159*b**2 + 4*b. Find the second derivative of j(w) wrt w.
600*w**2 + 156*w
Find the second derivative of 55 - 90*s + 260*s + 85 - 79*s - 80*s + 2475*s**2 wrt s.
4950
Let u(v) = -v + 1. Let s be -4 - -8 - (6 - 1). Let z(f) = -18*f**2 + 5*f - 31. Let p = -267 - -262. Let g(m) = p*u(m) + s*z(m). Differentiate g(l) wrt l.
36*l
Let x(l) be the first derivative of 1791*l**4 - 2*l**3/3 + 1427*l + 7293. What is the third derivative of x(f) wrt f?
42984
Differentiate -12*m**2 - 172694*m**4 - 12*m**2 + 172697*m**4 - 82 with respect to m.
12*m**3 - 48*m
Let l = 238 - 235. Find the second derivative of -3*u - u**l - 67*u**3 - 4 - 2*u**2 + u**2 + 2 wrt u.
-408*u - 2
What is the derivative of -1659*c**2 - 1337 + 2697 - 1159 wrt c?
-3318*c
Suppose 3*c - 8 = 4*p + c, -4*c = 16. Let a(i) = -4*i - 7. Let o be a(p). Find the second derivative of -22*l - 5*l + o*l + 19*l**4 wrt l.
228*l**2
Let f(a) = 1672*a**2 - 3017*a - 18. Let n(m) = -1672*m**2 + 3013*m + 24. Let j(i) = 4*f(i) + 3*n(i). Find the second derivative of j(w) wrt w.
3344
What is the second derivative of -1439*b**2 - 1542*b**2 - 5194*b**2 - 2312 - b - 982 - 4378*b**2 wrt b?
-25106
Suppose 3*b - 100 = -88. Suppose -i - 5*m = 16, 3*i + 5*m = -0*m - 8. Find the second derivative of -y - 4*y**4 + 16*y + i*y**b - 11*y**5 wrt y.
-220*y**3
Let j = 53 - 145. Let s = j + 130. Find the second derivative of -33*f**5 - 38*f**3 + s*f**3 + 11*f wrt f.
-660*f**3
Let x be -2 + (-2 - (0 - 4)). Suppose w - 3*w + 26 = x. Find the second derivative of -18*b - 3*b**4 - 13*b + w*b wrt b.
-36*b**2
Let n be ((-357)/(-102))/((-7)/(-12)). Find the third derivative of -n*v - 6*v**2 + 51 - 51 + 107*v**3 wrt v.
642
Let c(k) be the third derivative of 0 + 94*k**2 - 2*k + 71/2*k**3 - 67/8*k**4. Find the first derivative of c(s) wrt s.
-201
Suppose 5*p + 0*r - 20 = -4*r, -r + 16 = 4*p. Find the third derivative of -120*z**2 + 31*z**p + 22 + 32 - 54 wrt z.
744*z
What is the second derivative of -3*w**3 - 622*w**2 - 7754 + 2*w**3 + 7463 - 2*w wrt w?
-6*w - 1244
Find the second derivative of -752*a - 16522*a**2 + 33753*a**2 + 51*a - 15361*a**2 wrt a.
3740
Differentiate 4195*c + 2867 + 4939*c + 9140 wrt c.
9134
Let n(t) be the second derivative of 11*t**6/10 + 11*t**5/20 - 5*t**4/6 - 49*t**2/2 + 2531*t. Find the third derivative of n(j) wrt j.
792*j + 66
Let m be 3/(-2)*(-48)/18. Find the third derivative of 2*j**5 - 17*j**2 + 138*j**2 + 5*j**m + 6*j**5 + 2*j**4 wrt j.
480*j**2 + 168*j
Let c(t) be the third derivative of 0*t**5 - 91/24*t