4 - a**3 + 62*a**2 + 13*a + 5. Let t(h) = h**4 + 2*h**2 + h + 1. Let w(b) = p(b) - 5*t(b). What is the third derivative of w(x) wrt x?
72*x - 6
What is the third derivative of 17*c - 18*c**2 + 11*c - 49*c - 336*c**3 + 13*c - 3*c**2 - 2*c**5 wrt c?
-120*c**2 - 2016
Let o = -11 + 16. Suppose 0 = -27*s + 10 + 44. What is the first derivative of -a - 19*a**2 + o*a**s + a - 3 wrt a?
-28*a
Differentiate 0*c**3 + 990*c**2 + 158*c + c**3 - 264 - 990*c**2 with respect to c.
3*c**2 + 158
Suppose 4*a - 16 = -2*z + 3*z, -a + 21 = 4*z. Let q(y) be the third derivative of 0*y + 1/8*y**z - 1/2*y**3 - y**2 + 0. Find the first derivative of q(d) wrt d.
3
Find the third derivative of 144*i**2 + 5*i**4 + 131*i**2 - 3*i**2 - 13*i**3 wrt i.
120*i - 78
Let x(w) = 148*w**3 - 2*w - 21. Let l(s) = s**3 - s**2 + s + 1. Let m(k) = 2*l(k) + x(k). What is the third derivative of m(v) wrt v?
900
Let x(l) = -1453*l + 2243. Let a(h) = -967*h + 1496. Let w(c) = -8*a(c) + 5*x(c). Differentiate w(j) wrt j.
471
Let c(u) be the third derivative of 13*u**7/840 + u**4/6 + u**3/2 + 15*u**2. Let w(a) be the first derivative of c(a). Differentiate w(t) with respect to t.
39*t**2
Find the second derivative of -15*l**5 - 9*l**5 - 488 + 7*l - 56*l**5 + 495 wrt l.
-1600*l**3
Let o(m) = -37*m**3 + 6*m - 13. Let j(x) = 37*x**3 - 5*x + 12. Let a(z) = 6*j(z) + 5*o(z). Find the first derivative of a(b) wrt b.
111*b**2
Let m(j) be the third derivative of -5*j**6/12 + 463*j**4/24 + 427*j**2. Find the second derivative of m(x) wrt x.
-300*x
Find the second derivative of -101*b**2 + 4162*b + 8 - 4206*b - 8 wrt b.
-202
Suppose 5*x = 0, 3*x = i - x. Let j(y) = -y**3 - y**2 + y + 2. Let z be j(i). Find the second derivative of l**2 - 12*l - 3*l**2 + 2*l - l**z wrt l.
-6
Let l = 28 - 25. Find the third derivative of -3*t**3 - 13*t + 13*t**l - 38*t**2 + 39*t**2 + 20*t**3 wrt t.
180
Let m(q) = 194*q**3 - 11*q**2 + 13*q + 80. Let t(a) = 97*a**3 - 5*a**2 + 6*a + 41. Let j(k) = -6*m(k) + 13*t(k). Find the third derivative of j(v) wrt v.
582
Suppose g - 2*a - 3 = 0, 0*g - 4*g + 5*a = -12. Suppose -1 - g = -c. Find the second derivative of -c*y**5 + 7*y**5 + 0*y - 7*y wrt y.
60*y**3
Suppose 2*q + 3*v - 40 = 0, v - 23 = -q - 2*v. Let r = q + -16. What is the second derivative of 1 + 2*k**2 - k - r wrt k?
4
Let i(t) be the third derivative of -t**6/24 + 3*t**4/4 - 5*t**3/2 + 18*t**2. Let u(r) be the first derivative of i(r). What is the derivative of u(c) wrt c?
-30*c
What is the third derivative of -29*c**6 + 2*c + 12*c + 17*c**2 - 16*c - 26*c**6 wrt c?
-6600*c**3
Differentiate -1178935*k**2 + 64*k**4 + 1178935*k**2 + 2*k**3 + 524 with respect to k.
256*k**3 + 6*k**2
Suppose 0 = -4*u - 5*a + 3, u = -7*a + 8*a + 3. Differentiate 45 - 780*o**2 + 35*o**4 + 780*o**u wrt o.
140*o**3
Find the second derivative of 49*b + 82*b + 37*b - 40*b + 82*b + 231*b**3 wrt b.
1386*b
Suppose 0 = -30*l - 0 - 0. Let t(v) be the third derivative of -7/24*v**4 + 0*v**3 - 6*v**2 + 0*v + l + 1/30*v**5. Find the second derivative of t(i) wrt i.
4
Let h(r) = -72*r**3 + 6*r**2 + 58*r. Let g(n) = n**2 - n. Let m(s) = 6*g(s) - h(s). What is the second derivative of m(k) wrt k?
432*k
Let f(r) be the third derivative of 13*r**9/63 + 61*r**5/60 - 42*r**2. What is the third derivative of f(h) wrt h?
12480*h**3
Let k(f) = -70*f**2 - 3*f - 55. Let s(t) = -105*t**2 - 5*t - 83. Let u(l) = -8*k(l) + 5*s(l). Find the first derivative of u(i) wrt i.
70*i - 1
What is the first derivative of 53 - 351 + 94*x**4 + 20*x**4 - 25*x**4 wrt x?
356*x**3
Let b(d) be the first derivative of -4*d**3/3 + 12*d + 28. Let i(c) = 4*c**2 - 13. Let j(x) = -6*b(x) - 7*i(x). Differentiate j(v) with respect to v.
-8*v
Let c(p) be the first derivative of -3*p**8/280 + 9*p**5/40 + 2*p**3/3 + 11. Let q(k) be the third derivative of c(k). Find the second derivative of q(u) wrt u.
-216*u**2
Let x(u) be the second derivative of -u**3 + 1/4*u**5 + 0 + 14*u + 0*u**2 + 0*u**4. What is the second derivative of x(m) wrt m?
30*m
Let j(x) be the first derivative of -102*x**4 + 262*x**3/3 - x - 823. Find the third derivative of j(c) wrt c.
-2448
Let o(d) = d. Let k(i) = 4*i + 10. Suppose -4*h + 3*h - 11 = -5*v, 5*h - 5*v + 155 = 0. Let s(g) = h*o(g) + 2*k(g). Find the first derivative of s(x) wrt x.
-28
Let o = -35 + 34. Let u be -3 + 7 + (1 - o). What is the second derivative of u + 7*v - 4*v - 6 + 2*v**4 wrt v?
24*v**2
Let p(w) = -35*w - 5. Let q(r) = r - 1. Let l(f) = 21*f - 1. Let m(v) = -l(v) + 4*q(v). Let d(h) = -10*m(h) + 4*p(h). Differentiate d(o) wrt o.
30
Let x(h) = h**3 + 4*h**2 - 4*h - 2. Let p be x(-4). Let z(g) = g - 12. Let r be z(p). What is the derivative of r*m**2 - 1 + 4 + 0*m**2 wrt m?
4*m
Suppose 245*u - 249*u + 8 = 0. Let k(b) be the second derivative of 0 + u*b**2 - b + 2/3*b**3. Find the first derivative of k(n) wrt n.
4
Let n be (-7 + 7)/(-1 - -4). Let a(f) be the third derivative of -f**2 + 0 + 2/105*f**7 + 0*f**5 + n*f**4 + 0*f + 2/3*f**3 + 0*f**6. Differentiate a(d) wrt d.
16*d**3
Let k be 1 + (-1 - (15 + 2)). Let y = -15 - k. Find the second derivative of 5*x + 2*x**5 + x + 2 - y wrt x.
40*x**3
Let t(c) be the first derivative of 5*c**2 - 48 + c**3 - 12/5*c**5 + 0*c + 0*c**4. Find the third derivative of t(z) wrt z.
-288*z
Let i(q) be the third derivative of 0*q**3 + 9*q**2 + 0 + 1/4*q**4 + 0*q + 1/5*q**5. Find the second derivative of i(h) wrt h.
24
Suppose c + 33 = 3*c - 5*r, 0 = -5*c - 4*r. Suppose 0 = d - i, -3*i + 10 = 3*d - c*d. Find the second derivative of t**5 + d*t + t + 4*t**5 wrt t.
100*t**3
Find the third derivative of 20041*o**5 - 10*o**2 - 19953*o**5 - 17*o**2 wrt o.
5280*o**2
Suppose y - 4*o = 1, -3*y + 9 = -5*y - 3*o. Let w be (y/4)/(16/(-192)). What is the second derivative of -5*d - 2*d - 3*d**4 + w*d + 6*d**4 wrt d?
36*d**2
Suppose -4 - 40 = -2*a. Let n = a - 22. Find the third derivative of 0 + n + 26*b**2 + 2*b**3 - 25*b**2 wrt b.
12
Let w(s) be the second derivative of -499*s**6/30 - 621*s**2/2 + 184*s - 2. Differentiate w(d) with respect to d.
-1996*d**3
Find the second derivative of 81 + 5*n + 145 - 268*n**2 - 6*n + 139*n**2 wrt n.
-258
Let k(f) be the first derivative of f**9/84 - f**5/20 + 3*f**2/2 - 5. Let w(c) be the second derivative of k(c). What is the third derivative of w(u) wrt u?
720*u**3
Let m(t) = -26*t**2 - 2*t. Let o(i) = i**2. Suppose -5*f + 31 = -29. Let l(z) = f*o(z) + m(z). What is the second derivative of l(s) wrt s?
-28
Suppose 3*o - 21 = -4*y, 0*y + y = o + 7. Suppose 0 = -2*v + y, x + 3*v = 2*v + 3. Find the second derivative of 0*q**4 + 0*q + x*q**4 + 11*q**5 - 6*q wrt q.
220*q**3
Let p(a) be the second derivative of -303*a**5/20 - a**4 + 13*a**2/2 + 20*a. What is the third derivative of p(y) wrt y?
-1818
Differentiate -82 + 8 + 25*r + 47*r - 32 with respect to r.
72
Let v = -54 + 57. What is the derivative of 1 - 6 - v - 16*x**2 - 6*x**2 wrt x?
-44*x
Differentiate -91*t**2 + 24*t**2 - 91*t**2 - 190 with respect to t.
-316*t
Let d be ((-2)/(-4) + -1)*0/(-9). Let i(m) be the second derivative of d*m**2 + 0 + 2*m - 1/3*m**4 - m**3. What is the second derivative of i(r) wrt r?
-8
What is the second derivative of -675*u**5 + 2*u - 3*u + 761*u**5 - 21 wrt u?
1720*u**3
Suppose -4*x = -4 - 8. Let c be (2/(-2) - -24) + x. Find the second derivative of -c + 6*l + 26 + 4*l**2 wrt l.
8
Let a = 12 + 8. Find the second derivative of -45*f - a*f**2 - 7*f**2 + 10*f**2 wrt f.
-34
Let n(o) be the third derivative of -301*o**6/120 - 38*o**3/3 + 342*o**2. Find the first derivative of n(l) wrt l.
-903*l**2
Let f(a) be the third derivative of -29*a**7/210 + a**6/120 + a**5/30 + 55*a**3/6 - 2*a**2 + 22*a. What is the third derivative of f(o) wrt o?
-696*o + 6
Let m(z) = -7*z - 6 - 20*z**4 + 0*z**3 + 1 - 3*z**3 + 2. Let f(t) = -t**4 - t**3 - t - 1. Let h(c) = -3*f(c) + m(c). Find the second derivative of h(a) wrt a.
-204*a**2
Let m(j) = -559*j**3 + 13*j**2 - 5*j - 12. Let a(h) = 559*h**3 - 14*h**2 + 4*h + 9. Let s(t) = 4*a(t) + 3*m(t). Find the third derivative of s(q) wrt q.
3354
Let i(b) = -417*b**2 - 399*b - 11. Let q(f) = -104*f**2 - 98*f - 3. Let v(n) = 6*i(n) - 22*q(n). Find the second derivative of v(w) wrt w.
-428
Suppose -15*u + 20 = -11*u. Let v be (u + (1 - 5))*12. Find the second derivative of -4*l**2 - l**2 + v*l +