 - 2*q**3 + 14*q**2 - 189*q**3 wrt q.
-1146
Let b(k) be the first derivative of -6*k**3 + k**2/2 + 87*k - 6. Find the first derivative of b(a) wrt a.
-36*a + 1
Find the third derivative of -454*t**2 + 5*t + 445*t**2 - t + 2*t**5 - 15*t**4 wrt t.
120*t**2 - 360*t
Let l(p) = p**2 - 17*p - 15. Let s be l(18). Find the second derivative of -9*n + 57 - 57 + s*n**5 + 11*n**5 wrt n.
280*n**3
Differentiate -292 + 94 - 114 - 329*j - 214 wrt j.
-329
Suppose -32 = -r - 4*d, -5*d + d - 8 = -r. Differentiate -r - 5 + 47*i**3 - 33*i**3 wrt i.
42*i**2
Let s(t) = -t**2 + 3*t + 8. Let o be s(6). Let d be o/(-4) - (-1)/(-2). What is the first derivative of 0 + x + 3 + d*x - 6 wrt x?
3
Let t(k) = -1. Let p(r) = -4*r**3 + 13. Let w = -22 - -21. Let i(d) = w*p(d) - 5*t(d). Find the first derivative of i(y) wrt y.
12*y**2
Suppose 2*l + 4*t = -3*l + 29, 2*l = -5*t + 15. What is the second derivative of 6*r**l + 0*r**5 + 17*r - 28*r wrt r?
120*r**3
Let x(l) = -763*l**2 - 707*l - 18. Let v(p) = 765*p**2 + 708*p + 16. Let z(d) = 9*v(d) + 8*x(d). What is the second derivative of z(s) wrt s?
1562
Find the second derivative of -39*p - 43*p**2 + 7*p + 2 - 12*p wrt p.
-86
Let l(y) = 79*y**3 + 4*y**2 + 11*y - 3. Let q(w) = 396*w**3 + 20*w**2 + 54*w - 16. Let m(t) = 16*l(t) - 3*q(t). What is the third derivative of m(r) wrt r?
456
Let z be ((-840)/12)/(2/(-1)). Find the third derivative of 12*o**4 + 14*o**4 + 7*o**2 - z*o**4 wrt o.
-216*o
Suppose 4 = w, -3*w + 5 - 38 = -3*g. Let s(z) = z**3 - 14*z**2 - 16*z + 19. Let t be s(g). Differentiate 2*k**2 - 1 + 2*k**3 + t*k**2 - 6*k**2 wrt k.
6*k**2
Let g(b) be the third derivative of -37/24*b**4 + 31*b**2 + 0*b**5 + 0 - 19/210*b**7 + 0*b**3 + 0*b**6 + 0*b. What is the second derivative of g(u) wrt u?
-228*u**2
Find the third derivative of 0 + 6 + 82*j**2 + 145*j**2 + 489*j**3 - 6 wrt j.
2934
Let f be ((-1)/2)/(2/(-36)). What is the first derivative of 20 + 2*b + f*b**4 - 25 - 2*b wrt b?
36*b**3
What is the derivative of -2*d + 69 + 24*d**2 + 24 - 21 - 116*d**2 wrt d?
-184*d - 2
Let x(d) be the third derivative of -75*d**4/8 - 53*d**3/3 + 115*d**2. Differentiate x(k) wrt k.
-225
Let h(t) = t**3 + 216 - 216. Let x(k) = 4*k**3 - 6*k**2. Let a(f) = -4*h(f) + 2*x(f). What is the third derivative of a(o) wrt o?
24
Let z be (-14)/(-21) - 4/(-3). Suppose -z*i + 0*i = -4. Find the third derivative of -i*u**2 - 2*u**2 + 4*u**3 + 0*u**2 wrt u.
24
Let l(y) = -y**3 + 11*y**2 - 15*y. Let i(v) = -v**3 + 6*v**2 - 8*v. Let o = 34 + -28. Let s(f) = o*l(f) - 11*i(f). What is the second derivative of s(d) wrt d?
30*d
Let j(n) = n**3 + 19*n**2 + 17*n - 6. Let x be j(-18). Let p = 15 - x. Find the second derivative of -23*g + 57*g + 3*g**p - 29*g wrt g.
18*g
Suppose -5*q = 2*f - 11, -3*f - 8*q + 14 = -3*q. Find the third derivative of 7*y**3 + 42*y**2 - y**3 + 0*y**f + 13*y**3 wrt y.
114
Find the first derivative of -4*r**2 - 148 + 2*r**2 - 13*r**4 + 17*r**4 + 177 + 212 wrt r.
16*r**3 - 4*r
What is the third derivative of -c + 888*c**3 + 244*c**5 - 14*c**2 - 888*c**3 wrt c?
14640*c**2
Let i(w) = -1646*w - 2567. Let x(l) = 546*l + 856. Let u(k) = -4*i(k) - 11*x(k). What is the first derivative of u(j) wrt j?
578
Let r(o) be the first derivative of -13*o**4 + 10*o + 156. Differentiate r(m) wrt m.
-156*m**2
Let d = 29 + -22. Find the second derivative of t + 17*t**5 - 35*t**4 + d*t + 35*t**4 wrt t.
340*t**3
Let w(g) = -g - 9. Let a be w(-9). Suppose c = -a*c + 12. What is the third derivative of -3*s**6 - 12*s - 6*s**2 - s**6 + c*s wrt s?
-480*s**3
Differentiate -25 - i - 6*i**2 - 14 + 0*i - 11 wrt i.
-12*i - 1
Suppose -2*n + 0*n = -4. Suppose 0*f - 2*s = -2*f + 12, -n*f - 5*s + 33 = 0. Find the second derivative of x - 5*x**3 + f*x**3 + 0*x wrt x.
24*x
Suppose -o + 0*z = 3*z - 19, 5*o + z = 39. Find the second derivative of -o*i**2 - 1282 + 15*i + 1282 wrt i.
-14
Suppose -3*v = 0, n - 5 = -4*v + 5. Let q be (-16)/(-5) + 8/n. What is the first derivative of -4 - q + 27*g**2 - 35*g**2 wrt g?
-16*g
Let c be -8*-17*(-4)/(-16). Suppose -c = -3*n - 5*w, 4*n + 4*w - 27 = 5. What is the third derivative of 10*f**3 - 3*f**n + 5*f**2 - 4*f**3 - 2*f**2 wrt f?
18
Let t(d) be the first derivative of -108*d**5/5 + 43*d**3/3 + 79. What is the third derivative of t(g) wrt g?
-2592*g
Let x(p) be the third derivative of 13*p**7/42 - 11*p**5/15 + 112*p**2. Find the third derivative of x(u) wrt u.
1560*u
Differentiate -49*z**3 + 4*z - 4*z - 20 - 99 wrt z.
-147*z**2
Suppose 3*b - 10 = 2*t + 3, -t = -1. What is the derivative of b + 8 + 45*o**2 - 78*o**2 + 42*o**2 wrt o?
18*o
Let v(s) be the first derivative of -29/3*s**3 + 0*s**5 + 0*s**4 - 17/3*s**6 + 27 + 0*s**2 + 0*s. Find the third derivative of v(c) wrt c.
-2040*c**2
Let b(o) be the second derivative of 0 + 1/4*o**4 - 11*o + 0*o**3 - 3/2*o**2. What is the first derivative of b(y) wrt y?
6*y
Let k(u) = 103*u**2 + 16*u - 153. Let l(m) = -51*m**2 - 7*m + 78. Let c(n) = -4*k(n) - 9*l(n). What is the derivative of c(f) wrt f?
94*f - 1
Let t be (12/(-15))/(4/40). Let k = t - -12. Find the first derivative of 4 + j**2 + 2 + k*j**2 wrt j.
10*j
Let x(m) be the first derivative of 2*m**7/7 + 31*m**5/5 - 28*m**3/3 + 5*m**2/2 + 2. Find the third derivative of x(k) wrt k.
240*k**3 + 744*k
Suppose 14 = z + m, -3*m = -z + 11 + 11. What is the third derivative of z + 21*q**5 - 21*q**2 + 11 - 27 wrt q?
1260*q**2
Let b(g) be the third derivative of g**8/336 + 2*g**7/105 + 7*g**4/6 + 2*g**2 - 32*g. What is the second derivative of b(r) wrt r?
20*r**3 + 48*r**2
Let o(p) be the first derivative of 0*p**3 - 31/6*p**6 + 31 + 0*p**4 + 0*p + 19/2*p**2 + 0*p**5. Find the second derivative of o(z) wrt z.
-620*z**3
Let c(h) be the third derivative of 0*h - 17/60*h**5 + 0 - h**3 + 7*h**2 + 0*h**4. Differentiate c(d) wrt d.
-34*d
Suppose 5*d + 4*x + x + 5 = 0, 2*d + 4*x + 4 = 0. Let n(z) = -z**2 + z + 3. Let t be n(d). Find the third derivative of -23*g - 10*g**2 + 23*g + 8*g**t wrt g.
48
Let j(b) = -52*b**2 - 10*b - 11. Let t(p) = 51*p**2 + 8*p + 10. Let h(r) = -5*j(r) - 6*t(r). Find the second derivative of h(u) wrt u.
-92
Let p = -67 - -71. Let i(f) be the first derivative of 0*f**2 - 5/6*f**6 + 0*f + 0*f**p + 0*f**5 - 1/3*f**3 + 4. Find the third derivative of i(c) wrt c.
-300*c**2
What is the second derivative of -37 + 4*x - 31 - 4*x**3 + 0*x - x + 3*x**3 - 31*x**2 wrt x?
-6*x - 62
Suppose -5*a - 3*w + 121 - 4 = 0, -2*w = 3*a - 71. What is the derivative of -1 + 3 + a*n**2 - 4 + 3 wrt n?
42*n
Let r(s) be the second derivative of -211*s**6/15 + s**3/6 + 117*s**2 - 204*s. What is the second derivative of r(a) wrt a?
-5064*a**2
Let v(l) = -34*l**2 - l + 167. Let o(i) = -2*i**2 + i + 4. Let z(t) = -3*o(t) - v(t). Find the second derivative of z(y) wrt y.
80
Let h(o) = 3*o**2 - 1 + 5 + 7 - 3*o**3 + 0*o - 3*o. Let z(m) = -6*m**3 + 5*m**2 - 5*m + 22. Let g(a) = 5*h(a) - 3*z(a). Find the first derivative of g(l) wrt l.
9*l**2
Let p(c) be the first derivative of 13*c**8/1680 + 3*c**4/8 + 11*c**3/3 - 15. Let g(f) be the third derivative of p(f). Find the first derivative of g(o) wrt o.
52*o**3
Let w(l) be the third derivative of l**7/70 + 37*l**6/120 + l**5/60 + 17*l**3/2 + 100*l**2. Find the third derivative of w(x) wrt x.
72*x + 222
What is the second derivative of -2*w + 10*w + 21*w**2 + 6*w - 17*w - 13 wrt w?
42
Suppose 5*r - 4*z = 0, -3*z = -0*r + r - 19. What is the third derivative of -4*g**2 - 21*g**5 + 37*g**5 - 5*g**r + 5*g**4 wrt g?
960*g**2
Let c(d) be the first derivative of 133*d**4/4 - d**3/3 - 31*d + 56. What is the third derivative of c(r) wrt r?
798
Let g(f) = 6*f**2 - 2*f + 2. Let v be g(1). What is the second derivative of -7*n**2 + v*n + n - n - 2*n wrt n?
-14
Let n(l) = l. Let g(d) = 7*d**2 - 6*d. Let k = -16 + 13. Let c(o) = k*n(o) - g(o). Find the second derivative of c(x) wrt x.
-14
Let x(q) = -q**3 - 3*q**2 - 1. Let z(w) = w**4 + 4*w**3 + 16*w**2 + 308. Let a(g) = 4*x(g) + z(g). Differentiate a(m) with respect to m.
4*m**3 + 8*m
Let k(a) = -30*a**3 + 2*a**2 - 225*a + 2. Let x(p) = 30*p**3 - 2*p**2 + 225*p - 3. Let q(z) = 3*k(z) + 2*x(z). What is the second derivative of q(i) wrt i?
-180*i + 4
Let g(c) be the first derivative of -16*c**6/3 + 75*c**2/2 + 22. What is the second derivative of g(t) wrt t?
-640*t**3
Let y(q) be th