*c. Find the first derivative of k(a) wrt a.
376*a**3
Let a(z) be the first derivative of z**3/6 + 14*z**2 - z + 16. Let u(f) be the first derivative of a(f). What is the derivative of u(g) wrt g?
1
Let y(z) = 854*z**3 + 3*z**2 + 178*z. Let w(l) = 856*l**3 + 4*l**2 + 176*l. Let v(q) = 3*w(q) - 4*y(q). Find the second derivative of v(x) wrt x.
-5088*x
Suppose 5*d = 7 + 3. Suppose 0 = d*s - k - 3, 3*k + 0*k = 3*s + 3. What is the derivative of -2*q + 2*q - 7 + s*q wrt q?
4
Let o(b) = -3*b**3 + 6*b**2 - 3*b + 25. Let r(i) = -3*i**3 + 8*i**2 - 3*i + 24. Let u(z) = -4*o(z) + 3*r(z). What is the first derivative of u(q) wrt q?
9*q**2 + 3
Let n(x) be the first derivative of 355*x**6/6 - x**3 + 54*x - 316. What is the third derivative of n(c) wrt c?
21300*c**2
Suppose 0 = 4*q - 67 + 11. What is the third derivative of -x**6 + 2*x**6 - x**2 + q*x**2 + 7*x**6 wrt x?
960*x**3
Let d = -37 + 13. Let h = 26 + d. Find the third derivative of 32 - 8*y**2 - 32 - 2*y**h - 5*y**3 wrt y.
-30
What is the third derivative of -i**4 + 4244*i**5 - 4228*i**5 + 4*i**6 - 200*i**2 + i**4 wrt i?
480*i**3 + 960*i**2
Let f be (1 - 1) + 5 + 1. Let b = -95 - -99. Find the second derivative of b*n - 4*n**2 + 3*n - f*n + 4*n wrt n.
-8
Let m be ((-17)/34 + (0 - 0))*-6. Find the third derivative of 3*p**2 + 3*p**2 - 2 - 5*p**2 + 12*p**m + 33*p**3 wrt p.
270
Let m(r) be the first derivative of 11*r**8/1680 + 7*r**4/8 - 43*r**3/3 - 3. Let w(b) be the third derivative of m(b). Find the first derivative of w(a) wrt a.
44*a**3
Let q(h) = -72*h**3 - 8*h**2 + 72*h + 3. Let o(l) = 215*l**3 + 22*l**2 - 215*l - 8. Let u(c) = -3*o(c) - 8*q(c). What is the second derivative of u(w) wrt w?
-414*w - 4
Suppose -6*u + 16 = 4. What is the second derivative of h**u + 16*h**2 - 13*h + h**2 + 18*h**2 wrt h?
72
Let a(u) = u**4 + 2*u**3 - 92*u**2. Let k(b) = 2*b**3 - 93*b**2. Let y(x) = -3*a(x) + 2*k(x). Find the third derivative of y(t) wrt t.
-72*t - 12
Let n(o) be the second derivative of 0*o**2 + 8*o + 0 - 7/12*o**4 + 19/30*o**6 + 0*o**3 + 0*o**5. Find the third derivative of n(y) wrt y.
456*y
Let a(i) be the third derivative of 1/8*i**4 + 0*i**7 + 0*i**5 + 0*i + 1/42*i**8 + 8*i**2 + 0*i**6 + 0*i**3 + 0. Find the second derivative of a(w) wrt w.
160*w**3
Let l(o) = 113*o**5 + o**4 + o**3 + 3*o**2 + 14*o - 1. Let n(r) = -r**4 - r**3 - r + 1. Let x(g) = l(g) + n(g). What is the third derivative of x(d) wrt d?
6780*d**2
Find the third derivative of -26*v**6 + 43*v**2 + 24*v**6 + 81*v**2 - 47*v**3 wrt v.
-240*v**3 - 282
Let q(g) = g + 6. Let i be q(0). Suppose y = 2*y - 3*y. Differentiate i*s**4 + 0*s**4 + y*s - 7 + 0*s with respect to s.
24*s**3
Suppose 2*r + 41 = n + 8, -r = -1. Let p be n/20 - (-1)/4. Find the third derivative of -16*k**6 - 7*k**p + 9*k**6 + 6*k**6 wrt k.
-120*k**3
What is the derivative of 43 + 41*f**3 + 18*f**3 - 188 wrt f?
177*f**2
Suppose 4*j + 12 = 40. Find the third derivative of -6*p**5 + 0*p**2 - j*p**2 + 2*p**2 wrt p.
-360*p**2
Let u(d) be the first derivative of -8*d**7/105 - 3*d**5/20 + 10*d**2 - 5. Let g(w) be the second derivative of u(w). Find the third derivative of g(s) wrt s.
-384*s
Let r(d) = -d**2 + d + 1. Let t(a) = 82*a**2 + 51*a - 2. Let x(n) = 2*r(n) + t(n). Find the second derivative of x(p) wrt p.
160
Let w(s) = -101*s**2 - 5*s + 181. Let f(m) = -504*m**2 - 24*m + 904. Let t(i) = -5*f(i) + 24*w(i). Differentiate t(v) with respect to v.
192*v
What is the derivative of -52 + 2*t + 15*t**3 - 39*t**3 + 10*t**3 + 10*t**3 wrt t?
-12*t**2 + 2
Let j = -9 + 18. Let g be (-9)/6*(-30)/j. What is the third derivative of -s**5 - s**g - s**2 + 0*s**5 wrt s?
-120*s**2
Let f(a) = 3*a**3 + 10*a - 20. Let b(g) = -2*g**3 + g + 2. Let x(d) = -4*b(d) + f(d). What is the first derivative of x(w) wrt w?
33*w**2 + 6
Let b(v) = -v**3 - v**2 + 4*v - 1. Let k be b(-3). Suppose o - 7 = -i, 0*o = i + 2*o - 11. Find the second derivative of -2 - i + 6*y**3 + k - 11*y wrt y.
36*y
Let w(x) be the first derivative of -74*x**3/3 + x**2/2 - 3*x - 12. Find the second derivative of w(v) wrt v.
-148
Suppose -2*c + 13 = 5*s, 2*c + 1 = 2*s + 7*c. Let j(k) be the second derivative of -k + 0 - 2/3*k**s + 1/2*k**2. Find the first derivative of j(u) wrt u.
-4
Let f = -64 + 67. Find the third derivative of 5*x**2 + 3*x**2 - 2*x**2 - x**2 - x**f wrt x.
-6
Let w(z) be the third derivative of z**7/210 + 11*z**5/4 - z**4/6 - 5*z**3 + 13*z**2 - 3. Find the second derivative of w(i) wrt i.
12*i**2 + 330
Let p(u) be the first derivative of 0*u**3 - 2*u**2 - 1/6*u**4 + 5*u + 5. Let m(c) be the first derivative of p(c). What is the first derivative of m(q) wrt q?
-4*q
Suppose 4*v + 0*f + 4*f - 24 = 0, -5*v + 2*f + 2 = 0. What is the third derivative of -340*a + 38*a**5 - 10*a**v + 340*a wrt a?
2280*a**2
Suppose -f - 2*f = 3*i - 3, 2*i - 17 = 3*f. Let x = 8 - 2. Find the third derivative of -x*h + 6*h**5 + 7*h**2 + 6*h + i*h**2 wrt h.
360*h**2
Let j(v) = -v**3 + 5*v**2 - 2*v + 12. Let t be j(5). Find the second derivative of h - 5*h - 4*h**t + 20*h**2 - 4*h wrt h.
32
Suppose 3*v - 4*s = 29, -3*v - 4*s = -0*s - 37. Find the third derivative of 13*t**3 - 16 + 19*t**2 + v + 5 wrt t.
78
Let u(a) = 2629*a**3 - 35*a**2 + 6*a + 11. Let t(g) = -1972*g**3 + 26*g**2 - 4*g - 8. Let i(c) = -11*t(c) - 8*u(c). Find the third derivative of i(k) wrt k.
3960
Let d(v) be the second derivative of -v**7/21 + 9*v**5/20 + 112*v**4/3 - 317*v. Find the third derivative of d(k) wrt k.
-120*k**2 + 54
What is the third derivative of -118*v**3 - 12*v**3 - 5 - 134*v**3 + 9*v**2 + 48*v**3 wrt v?
-1296
Let h(n) be the first derivative of 2 + 0*n**2 - n + 0*n**3 - 1/4*n**4. Differentiate h(j) wrt j.
-3*j**2
Suppose 0 = -5*s + 2*p - 3*p + 69, -3*s + 47 = -5*p. Let w be (6/5)/(s/35). What is the second derivative of -2*b**3 + b**w - 3*b**3 + b**3 - 10*b wrt b?
-18*b
Let o = 48 + -43. Find the first derivative of -50 + 166 - 56 + o*v**4 - 59 wrt v.
20*v**3
What is the second derivative of 7*d + 31*d + 20*d**2 - 239*d**2 - 21 + 21 wrt d?
-438
Let s(x) = 10*x**2 + 8*x - 4. Let w(n) = n - 7 - n**2 + 15*n - 2 + 21*n**2. Let y(g) = 9*s(g) - 4*w(g). What is the second derivative of y(c) wrt c?
20
What is the third derivative of -2*m**6 + 0*m**6 + 4*m**6 + 4*m**6 - 5*m**3 - 23*m**2 + 1 wrt m?
720*m**3 - 30
Let c(r) be the first derivative of -6*r**4 - 10*r**3/3 - 2*r - 3. Find the third derivative of c(d) wrt d.
-144
Let i(q) = 7*q**3 + 8*q**2 + 37. Let n(g) = g**2. Let f(x) = -i(x) + 5*n(x). What is the derivative of f(p) wrt p?
-21*p**2 - 6*p
Let u = -64 - -66. What is the third derivative of 11*n**6 + 4*n**6 - 6*n**u + n**6 wrt n?
1920*n**3
Let p(q) be the third derivative of 89*q**7/70 + 89*q**4/12 + 5*q**2 - 2*q. What is the second derivative of p(v) wrt v?
3204*v**2
Let g(a) be the first derivative of -2*a**6 + 3*a**4/2 - 301*a**2/2 + 351. Find the second derivative of g(c) wrt c.
-240*c**3 + 36*c
Let s(f) be the third derivative of f**8/1680 - f**6/36 - f**3 - 5*f**2. Let w(p) be the first derivative of s(p). What is the third derivative of w(b) wrt b?
24*b
Let j(f) be the first derivative of 45*f**7/7 + 26*f**3 - 19. Find the third derivative of j(n) wrt n.
5400*n**3
Let p(l) = l**3 - 4*l**2 + 1. Let n(z) = -48*z**3 + 32*z**2 - 3. Let o(h) = 3*n(h) + 24*p(h). Differentiate o(x) wrt x.
-360*x**2
Let d(n) = 66*n**2 + 111*n + 8. Let g(f) = -132*f**2 - 221*f - 18. Let u(q) = -9*d(q) - 4*g(q). What is the second derivative of u(v) wrt v?
-132
What is the first derivative of 145*d**2 + 60 + 6303*d - 6303*d wrt d?
290*d
What is the third derivative of -31*s**2 - 10*s**2 + 2 - 283*s**3 - 2 + 16*s**2 + 7*s wrt s?
-1698
Let m(g) be the first derivative of g**7/35 - g**5/3 + 6*g**2 + 10. Let y(t) be the second derivative of m(t). What is the third derivative of y(h) wrt h?
144*h
Let o(d) be the second derivative of -160*d**3/3 + 106*d**2 + 191*d. What is the derivative of o(y) wrt y?
-320
Let u(y) be the third derivative of -y**7/105 - 251*y**5/60 + y**4/24 + 263*y**3/6 - 9*y**2 - 5*y. Find the second derivative of u(w) wrt w.
-24*w**2 - 502
Let z(j) = -1. Suppose 6*a - 24 = -60. Let t(w) = 13*w**2 + 3*w - 6. Let k(b) = a*z(b) + t(b). Find the second derivative of k(x) wrt x.
26
Let r(i) = 59*i**2 + 83*i - 6. Let h(l) = -l**2 + l - 1. Let o(m) = -30*h