et x(u) = u**4 - u - 1. Let j(t) = 2*t - 38. Let o be j(18). Let c(l) = 21*l**4 - 2*l + 1. Let d(f) = o*x(f) + c(f). Find the first derivative of d(i) wrt i.
76*i**3
Let j(l) be the second derivative of 281*l**6/30 + l**5/10 + 30*l**4 - 36*l - 5. What is the third derivative of j(b) wrt b?
6744*b + 12
Let b(q) be the second derivative of -72*q**6/5 - 131*q**4/3 - 262*q. Find the third derivative of b(a) wrt a.
-10368*a
Find the second derivative of 148*u + 3*u**2 + 164*u**5 + 29*u - 3*u**2 + 23*u**5 wrt u.
3740*u**3
Let v be 2/9 + (-164)/9. Let d = 17 + v. Let q(i) = -i + 1. Let b(p) = 5*p**4 + 5*p - 6. Let y(a) = d*b(a) - 5*q(a). Differentiate y(o) with respect to o.
-20*o**3
Let k(s) be the third derivative of -16/3*s**3 + 0*s - 19/24*s**4 + 0 - 32*s**2. What is the first derivative of k(z) wrt z?
-19
Let g(x) be the third derivative of 27*x**2 + 0*x**3 + 0*x - 1/15*x**5 - 13/24*x**4 + 0. What is the second derivative of g(p) wrt p?
-8
Let f(h) be the first derivative of 0*h**2 + 0*h**4 + 1/5*h**5 + 0*h**3 + 17 + 20*h. What is the first derivative of f(w) wrt w?
4*w**3
Find the second derivative of 551*b + 16322*b**2 - 16749*b**2 - 156*b wrt b.
-854
Let a(c) = -23*c**4 + 6*c + 5. Suppose 2*q + 9 = -3*s, -4*q + 2*q - 4 = 2*s. Let r(k) = 22*k**4 - 5*k - 4. Let v(u) = s*a(u) - 6*r(u). Differentiate v(m) wrt m.
-68*m**3
Let z(a) = -2*a. Let y be z(-1). Suppose -3 = -m + o, -24 = -5*m + y*o - 6*o. What is the second derivative of -m*n + 0*n - 2*n**3 - n + 4*n**3 wrt n?
12*n
Find the second derivative of -53 + 51 + 32*j**2 - 151*j**2 + 82*j wrt j.
-238
Let h(a) be the third derivative of 79*a**9/56 - 27*a**5/10 + a**2 + 172*a. What is the third derivative of h(m) wrt m?
85320*m**3
Let w(i) = -255*i**2 + 491*i - 56. Let j(s) = -85*s**2 + 164*s - 21. Let z(n) = -8*j(n) + 3*w(n). What is the second derivative of z(t) wrt t?
-170
Let w(y) be the first derivative of 6 + 0*y + 0*y**4 + 0*y**3 + y**5 + 1/2*y**2. Find the second derivative of w(p) wrt p.
60*p**2
Let f(a) be the first derivative of -4*a**5/5 - 17*a**4/2 + 166*a**3/3 - 64. Find the third derivative of f(d) wrt d.
-96*d - 204
Suppose -3*l = -2*g - 3, -6 - 8 = g - 4*l. Let k = 27 + -25. What is the third derivative of -3*o**5 + 3*o**5 - 7*o**2 + 8*o**g + o**k wrt o?
960*o**3
Suppose -6*k + 6 = -4*k. Suppose -k = 3*s - 18. What is the third derivative of 3*c**4 - s*c**2 + 5*c**5 - 3*c**4 + 6*c**2 wrt c?
300*c**2
Let g(p) be the second derivative of 109*p**6/30 - p**4/12 + 27*p**3 - 155*p + 3. Find the third derivative of g(z) wrt z.
2616*z
Differentiate -2*x**2 - 8 + 21 - 12 - 12*x**2 wrt x.
-28*x
What is the first derivative of -4*z - z**4 + 179 - 50*z**2 + 4*z + 140*z**2 + 2*z**4 wrt z?
4*z**3 + 180*z
Let t(u) = -23*u - 1. Let n(a) = -22*a - 2. Let s(i) = 5*n(i) - 4*t(i). Let z(f) = 19*f + 7. Let g(v) = 5*s(v) + 6*z(v). Differentiate g(d) wrt d.
24
Let k(t) be the third derivative of t**10/2520 + t**6/120 + t**3/3 + 29*t**2. Let a(f) be the first derivative of k(f). Find the third derivative of a(l) wrt l.
240*l**3
Suppose -7 = j - 46. What is the third derivative of 16*f**2 - 5*f**6 - j*f**3 + 37*f**6 + 39*f**3 wrt f?
3840*f**3
Find the second derivative of 0*a - 9*a**5 + 2*a + 96 - 13*a**5 wrt a.
-440*a**3
Let u(x) be the first derivative of 0*x**2 + 0*x**4 + 0*x + 22/5*x**5 + 4*x**3 - 11. Find the third derivative of u(f) wrt f.
528*f
Let p(j) be the first derivative of -5/4*j**4 - 6*j**2 + 12 + 0*j**3 + 0*j. What is the second derivative of p(u) wrt u?
-30*u
Suppose 0 = -2*i - 2*m + 24, m = -2*i + 14 + 13. What is the third derivative of -239*w**4 + 239*w**4 + 2*w**2 + i*w**2 + w**5 wrt w?
60*w**2
Let r(f) = -f - 10. Let w be r(-12). What is the third derivative of -5*p**2 - 10*p**2 - 16*p**4 + 2*p**w wrt p?
-384*p
Let d(x) be the first derivative of -39*x**4/4 + 41*x**2 + 34. What is the second derivative of d(n) wrt n?
-234*n
Find the second derivative of -8*d + 149*d**2 - 66*d - 149*d**2 + 8*d**4 - 4*d**5 wrt d.
-80*d**3 + 96*d**2
Let a(w) = 37*w**3 - 24*w**2. Let l be 9/((-18)/8) + -3. Let o(t) = 19*t**3 - 12*t**2. Let d(n) = l*o(n) + 3*a(n). What is the third derivative of d(g) wrt g?
-132
Let q(i) be the second derivative of i**6/90 + 19*i**5/120 + 3*i**3 - 11*i. Let b(n) be the second derivative of q(n). Find the second derivative of b(l) wrt l.
8
Let l(f) = -18*f**4 - 8*f**2 - 5*f - 375. Let w(h) = -9*h**4 - 4*h**2 - 2*h - 188. Let v(m) = 2*l(m) - 5*w(m). What is the first derivative of v(a) wrt a?
36*a**3 + 8*a
Let l = 102 + -100. What is the second derivative of -13*y - 30*y**l + 5*y + 7*y**2 - 6*y wrt y?
-46
Let i be (-1246)/(-63) + 3 + (-4)/(-18). What is the derivative of i + 16*l**3 - 22 + 13 wrt l?
48*l**2
Suppose -2*h - 4*q - 30 - 20 = 0, -5*q = 3*h + 78. Let b = -29 - h. What is the second derivative of 8*i + 4*i**b - 5*i**2 + 2*i**2 - 2*i**2 wrt i?
-2
What is the second derivative of 13*h + 43*h + 2*h**2 + 23*h**5 - 29*h**5 + 21*h wrt h?
-120*h**3 + 4
Let s = 7 + -2. Find the second derivative of -29*q**5 - 3*q - 5*q**3 + 27*q**s + 8 + 4*q**3 - 8*q**3 wrt q.
-40*q**3 - 54*q
Let a(h) = 54*h**3 - 5*h**2 + 9. Let c(j) = 160*j**3 - 14*j**2 + 27. Let y(k) = 11*a(k) - 4*c(k). What is the derivative of y(o) wrt o?
-138*o**2 + 2*o
Suppose 5*j + 749 = 759. Suppose 4*u + 0*u - 24 = 0. Find the third derivative of -9*c**j + u*c**5 - 4*c**3 + 0*c**3 + 4*c**3 wrt c.
360*c**2
Let l(m) = -2*m**4 - 7*m**3 - 10*m**2 + 5*m + 105. Let u(w) = w**4 + w**3 + 2*w**2 - w. Let v(p) = -l(p) - 5*u(p). What is the first derivative of v(z) wrt z?
-12*z**3 + 6*z**2
Let g(o) be the second derivative of 100*o**7/7 - 49*o**4/6 - 696*o. What is the third derivative of g(q) wrt q?
36000*q**2
Let i(u) be the second derivative of 13*u**7/21 + u**3/6 - 14*u**2 + 15*u. What is the second derivative of i(y) wrt y?
520*y**3
What is the third derivative of 3*m**2 - 5528*m**3 + 4 - 20 + 5723*m**3 wrt m?
1170
Let m(u) be the first derivative of u**2/2 - 2*u - 1. Let o = 25 + -29. Let r(h) = 2*h - 5. Let x(n) = o*r(n) + 9*m(n). What is the derivative of x(z) wrt z?
1
Suppose 2*a + 18 = 5*a. What is the derivative of a + 5*z - 23 + 0*z + 8*z wrt z?
13
Let j(b) = 578*b**3 - 13*b**2 - 11*b - 231. Let x(p) = 289*p**3 - 6*p**2 - 5*p - 116. Let t(a) = -6*j(a) + 13*x(a). Find the second derivative of t(c) wrt c.
1734*c
Find the second derivative of -68776*r**4 + 68934*r**4 + 4*r**2 + 35*r - 4*r**2 wrt r.
1896*r**2
What is the third derivative of -9*q**2 - 3*q**2 + 97*q**3 + 1 + 16*q**2 + 4*q**2 wrt q?
582
Differentiate -11*r - 76*r**3 + 0*r + 35 + 11*r wrt r.
-228*r**2
Differentiate 183 + 193 - 130 + 92*i wrt i.
92
Suppose m - 200 = -30. What is the second derivative of -170 - 10*c + 2*c + m - 12*c**2 wrt c?
-24
Let c(x) be the second derivative of -x**7/21 - 17*x**3/6 - 5*x**2/2 - 15*x. Let k(i) be the first derivative of c(i). Differentiate k(f) wrt f.
-40*f**3
Suppose 3*x - 10 = -28. Let b(q) = -40*q - 8. Let i(j) = 41*j + 8. Let u(f) = x*b(f) - 5*i(f). Find the first derivative of u(h) wrt h.
35
Suppose 6 = -j + 10. Find the second derivative of 415 - 415 + 9*i - 6*i**j wrt i.
-72*i**2
Let y(v) be the first derivative of -v**7/210 - 7*v**4/8 + 5*v**2 + 17. Let o(a) be the second derivative of y(a). Find the second derivative of o(l) wrt l.
-12*l**2
Let z(f) = f - 3. Let j(i) = -32*i**2 - 10*i + 3. Let g(a) = 3*j(a) + 3*z(a). What is the second derivative of g(o) wrt o?
-192
Let h(n) be the second derivative of 17*n**4/4 + 23*n**3/6 - 91*n. What is the second derivative of h(o) wrt o?
102
Differentiate 90 + 6*y**3 - 96*y - 2*y**3 + 191*y - 103*y wrt y.
12*y**2 - 8
Let j = -21 - -5. Let s = -12 - j. What is the derivative of -2*u + 10*u - 6*u + s wrt u?
2
Find the first derivative of -140*s + 913*s + 4925 + 5177 - 9562 wrt s.
773
What is the third derivative of -12*a**3 + 235*a - 232*a + a**4 - 5*a**4 + 14 - 14 + 8*a**2 wrt a?
-96*a - 72
Let a(k) = 7*k + 4. Let l(v) be the third derivative of 0*v + 0*v**3 + 1/24*v**4 - 10*v**2 + 0. Let r(u) = a(u) - 2*l(u). Differentiate r(y) wrt y.
5
Let p(t) be the first derivative of 47*t**4/4 - 6*t - 48. Let d(z) = -47*z**3 + 6. Let i(v) = -5*d(v) - 6*p(v). Differentiate i(h) wrt h.
-141*h**2
Let i(g) = 148*g**2 - 132*g + 28. Let p(o) = 49*o**2 - 44*o + 10. Let x(d) = 5*i(d) -