?
-4080*x**3 + 180*x**2
Let p(d) be the first derivative of 9 + 11/2*d**2 + 4/3*d**3 - 2*d. Let g(i) be the first derivative of p(i). Differentiate g(o) with respect to o.
8
Suppose 6 = -2*s, 2*p - 2*s = s + 93. Find the second derivative of 12*m + 42 - p + 13*m**2 wrt m.
26
Let o(c) be the second derivative of 5*c**4/12 + 2*c**3 - 4*c**2 + 2*c. Let y(q) be the first derivative of o(q). What is the derivative of y(g) wrt g?
10
Let i(s) = 106*s**2 - 38*s - 1975. Let u(r) = -21*r**2 + 7*r + 395. Let a(g) = -2*i(g) - 11*u(g). Differentiate a(t) with respect to t.
38*t - 1
Let j(v) = -1666*v - 645. Let h(g) = -837*g - 323. Let b(p) = 11*h(p) - 6*j(p). Find the first derivative of b(n) wrt n.
789
Let l(v) be the second derivative of 0*v**4 - 3/10*v**6 + 0*v**5 + 12*v**2 + 0 + 19*v + 0*v**3. What is the first derivative of l(t) wrt t?
-36*t**3
Let m(d) be the second derivative of -185*d**8/28 - 445*d**4/12 - 67*d - 5. What is the third derivative of m(z) wrt z?
-44400*z**3
Let l(o) = 3*o**3 + o - 1. Let t(i) = i**4 - 13*i**3 + 151*i - 3. Let n(q) = -3*l(q) + t(q). What is the second derivative of n(s) wrt s?
12*s**2 - 132*s
What is the third derivative of 274*o**2 - 220*o**2 + 12*o**6 + 46*o**6 wrt o?
6960*o**3
What is the third derivative of 2*f**4 + 36*f**3 + 9 - 8*f**2 + 0 - 17 wrt f?
48*f + 216
Suppose -8*z + 5*z = -9. What is the third derivative of -63*k**z + 16*k**3 - 34*k**2 + 1 - 1 wrt k?
-282
Let w(r) = 336*r**3 + 130*r**2 - 7*r + 4. Let y(t) = 674*t**3 + 261*t**2 - 12*t + 7. Let q(c) = -7*w(c) + 4*y(c). Find the third derivative of q(b) wrt b.
2064
Suppose 4*m + 76 = -4*j - j, -m = 4*j + 63. Let b = -4 - j. Find the first derivative of b*w**2 - 8*w + 10*w + 7 - 2*w wrt w.
24*w
Let o(k) be the third derivative of k**6/5 + 43*k**5/60 + 70*k**2. What is the third derivative of o(h) wrt h?
144
Let q(m) be the first derivative of -98*m**4 + 43*m**3 + 196. What is the third derivative of q(g) wrt g?
-2352
Let u(i) = 53*i**4 + 61*i**2 - i - 2. Let r(x) = -x**4 + x**2 + x + 2. Let w(z) = 6*r(z) + 6*u(z). Find the third derivative of w(l) wrt l.
7488*l
Let x(t) = 7*t**3 + t**2 - 1. Let s be x(1). What is the third derivative of -13*u**2 + 185*u**5 - s*u**6 - 185*u**5 wrt u?
-840*u**3
Let n be ((-4 + 4)/1)/((-2)/(-2)). What is the third derivative of n*j**2 - 15*j**2 + 2*j**6 + 16*j**6 - 1 + 8*j**6 wrt j?
3120*j**3
Suppose k + 2*q + 2 - 11 = 0, -q = 1. Let a = k + -8. Find the third derivative of -7*m**2 + 0*m**2 + m**2 - a*m**2 + 3*m**3 wrt m.
18
Let a(r) be the first derivative of -38*r**5 + 357*r - 296. Differentiate a(x) with respect to x.
-760*x**3
Let u(v) be the first derivative of -13/2*v**4 + 24 + 0*v**2 + 0*v**3 - 17*v. Find the first derivative of u(s) wrt s.
-78*s**2
Suppose -4*q - 5*r + 57 = 0, 0 = 2*q - q + 5*r - 33. Let o = q + 15. Find the second derivative of -23*f**2 - 7*f + 2*f - 3*f**3 + o*f**2 wrt f.
-18*f
Suppose 5*x - 5*p = 5, -9 = -4*x + 5*p - 2. Let v be ((-3)/(-2))/((-1)/x). What is the third derivative of 41*d**2 - 4*d**3 + 31*d**2 - 67*d**2 + 0*d**v wrt d?
-24
Let d(v) = -v**3 + v - 2. Let r be d(-2). Let s be (((-320)/12)/8 - -5)*3. Find the second derivative of 12*o - 2*o + 3*o**4 - 3*o**r + 2*o**s wrt o.
40*o**3
Let f(g) = -g**2 + 3*g + 8. Let k be f(4). What is the third derivative of 5*s**2 - 373 + 373 - 10*s**k wrt s?
-240*s
What is the third derivative of -d**2 - 2*d**4 - 43*d**2 - 4*d**3 - 55*d**2 + 0*d**4 wrt d?
-48*d - 24
Suppose 4*u - 4 = 3*v, -5*u + 0 + 4 = -4*v. Suppose v*p - 1 = 7. Differentiate 3 - p*h**3 - 3*h**3 + 0*h**3 + 0 with respect to h.
-15*h**2
Differentiate 33*t + 197 - 2*t - 9*t - 5*t - 12*t with respect to t.
5
What is the derivative of -11*f + 14*f + 386 - 3*f - 180*f**3 - 32*f**3 wrt f?
-636*f**2
Let z = 36 - 21. Let s be (z/(-10))/(1/(-6)). What is the first derivative of 5 - 2*f + 6*f - s wrt f?
4
Let h = 42 + -38. What is the second derivative of 5*p - 34*p**h + 4*p + 64*p**4 - 36*p**4 wrt p?
-72*p**2
Let p = 25 + -15. Find the second derivative of -6*q**2 + 4*q**2 - 4*q**2 + p*q + 4*q**2 wrt q.
-4
What is the third derivative of -2 - 103*g**5 + 2*g - 201*g**4 + 201*g**4 + 2 + 55*g**2 wrt g?
-6180*g**2
Suppose 2*z = 0, -4*z - z = -5*d - 140. Let p be d/(-8) + 2/(-4). Differentiate f**3 + 0*f**p + 3*f**3 + 1 with respect to f.
12*f**2
Let o(q) = -q - 7. Let b = -16 - -28. Let c(y) = -5 - b + 23. Let n(h) = 2*c(h) + 3*o(h). What is the derivative of n(x) wrt x?
-3
What is the first derivative of -116*h**3 + 47*h**3 - 117 + 182 wrt h?
-207*h**2
Let j(u) be the second derivative of 11*u**7/42 + 3*u**5/20 + u**3/6 + 46*u**2 - 70*u. Find the second derivative of j(r) wrt r.
220*r**3 + 18*r
Let b(v) = v**3 - 7*v**2 - 14*v + 14. Let h be b(9). Find the second derivative of -h*o**3 - 13*o**5 - 12*o + 50*o**3 + o**5 wrt o.
-240*o**3
Find the second derivative of -81*p**3 + 41*p - 4*p**4 - p**4 - 105*p + 2*p**4 + 0*p**4 wrt p.
-36*p**2 - 486*p
Find the second derivative of -4*i - 53220*i**3 - 2 + 54001*i**3 + 80*i wrt i.
4686*i
Find the second derivative of -387*u + 2*u**4 + 11*u**4 + 2*u**2 + 384*u wrt u.
156*u**2 + 4
Suppose 4 + 0 = 2*t. Find the second derivative of -8*m**2 + 0*m**2 - 2*m**2 - 4*m**2 + t*m wrt m.
-28
Let g = 50 - 48. Find the third derivative of -4 - 4*u**2 - 2*u**5 + 2 + g wrt u.
-120*u**2
What is the third derivative of 220*k**5 + 0*k**4 + 206*k**5 - 463*k**5 - 3*k**4 + 0*k**4 + 687*k**2 wrt k?
-2220*k**2 - 72*k
Suppose -5*u - 3 = -43. Find the second derivative of u*s + s**4 + 2*s**4 + 5*s**4 wrt s.
96*s**2
Let c(v) = v**3 - v. Let r(z) = 143*z**3 - 9*z - 299. Let x(s) = 18*c(s) - 2*r(s). Differentiate x(m) wrt m.
-804*m**2
Let v(q) = 13*q**2 - 6*q - 73. Let z(m) = -m**3 - 40*m**2 + 16*m + 217. Let n(j) = -8*v(j) - 3*z(j). Find the first derivative of n(r) wrt r.
9*r**2 + 32*r
Let v(b) be the third derivative of 0 + 22*b**2 + 0*b + 4/15*b**5 + 3*b**3 + 0*b**4. Differentiate v(p) wrt p.
32*p
Let p(b) = -27*b**2 + 11*b - 36. Suppose -7*n + 5*n = -22. Let c(r) = 9*r**2 - 4*r + 12. Let q(t) = n*c(t) + 4*p(t). What is the derivative of q(w) wrt w?
-18*w
Let i(s) = -393*s**3 + 12*s**2 + 503*s + 6. Let z(l) = -785*l**3 + 26*l**2 + 1010*l + 13. Let x(k) = 13*i(k) - 6*z(k). Find the second derivative of x(u) wrt u.
-2394*u
Let t(q) = 161*q + 477. Let z(f) = 81*f + 237. Let y(v) = -6*t(v) + 13*z(v). Differentiate y(l) wrt l.
87
Let r(k) be the third derivative of 0*k**3 + 1/42*k**8 - 2/3*k**4 + 0*k**7 + 0*k**5 + 0*k**6 + 0 + 16*k**2 + 0*k. Find the second derivative of r(p) wrt p.
160*p**3
Let u(d) be the third derivative of 5/168*d**8 + 0*d + 0*d**6 + 0 + 17/60*d**5 + 0*d**4 + 0*d**7 + 3*d**2 + 0*d**3. What is the third derivative of u(j) wrt j?
600*j**2
Let b(p) be the first derivative of -7/2*p**4 - 6 + 0*p**3 + 0*p + 3/2*p**2. Find the second derivative of b(c) wrt c.
-84*c
Let c(r) = r**5 + r**4 + r**2 - 2*r + 1. Let w(v) = -4*v**5 - 31*v**4 - 8*v**2 + 2*v + 2. Let i(u) = c(u) + w(u). Find the third derivative of i(b) wrt b.
-180*b**2 - 720*b
Let q(y) be the second derivative of 7*y**8 - y**4/6 - 131*y**2 - 152*y. What is the third derivative of q(l) wrt l?
47040*l**3
Let n(c) be the third derivative of 179*c**5/60 + 86*c**3/3 + 4*c**2 - 4. What is the derivative of n(r) wrt r?
358*r
Let p(n) be the first derivative of 2*n**7 + 5*n**3/3 + n**2 + 58. What is the third derivative of p(l) wrt l?
1680*l**3
Let j = -1/49 - -149/98. Let s(m) be the first derivative of 0*m + 1 - j*m**2 + 2*m**3. Find the second derivative of s(y) wrt y.
12
Let t = -12 - -33. Find the second derivative of 0*v**5 - t*v**5 - 2*v**3 - 9*v + 3*v**5 wrt v.
-360*v**3 - 12*v
Suppose -8*w = -7*w - 4. Let t = 1 - -7. What is the third derivative of -3*d**w - t*d**2 + 2*d**2 + 5*d**2 wrt d?
-72*d
Let n(d) be the first derivative of 5*d**5 - 2*d**2 - 32*d + 193. What is the first derivative of n(u) wrt u?
100*u**3 - 4
Let s(v) be the second derivative of -v**6/720 + v**5/30 + v**4/12 - 11*v. Let q(p) be the third derivative of s(p). What is the derivative of q(d) wrt d?
-1
Suppose -3*u + 2*t - 17 = -6*u, 0 = -2*u + 5*t - 14. What is the second derivative of 6*g**3 + 251*g - 236*g + 4*g**u wrt g?
60*g
Suppose -9*i = -12*i - 45. Let s be 3*i/27*-3. Differentiate 1 + 1 + s*u**3 + 2 - 8 wrt u.
15*u**2
Let z(t) = -11