38. Let c = n + 19. What is the second derivative of -a**3 + 4*a**3 - c*a**3 + 7*a wrt a?
6*a
Let g(p) be the third derivative of 1136*p**5/15 - 641*p**3/2 + 7387*p**2. Differentiate g(n) with respect to n.
9088*n
What is the first derivative of 412*m**2 + 2562 + 551*m**2 - 246*m**2 + 80*m**2 wrt m?
1594*m
Find the first derivative of 2*p + 409*p**2 - 2*p + 5*p - 4*p - 819*p**2 - 852 wrt p.
-820*p + 1
Let u = 531 - 41. What is the derivative of 47*k - 437 + u + 20*k wrt k?
67
Let c be (4/(-7))/(1/(-42)*4). Find the third derivative of 4 + 11 + 3 + 115*o**c + 42*o**2 - 17 wrt o.
13800*o**3
Differentiate -75*b - 5*b**2 - 3998 - 79*b**2 + 42*b**2 + 39*b**2 wrt b.
-6*b - 75
Let s(r) = 2*r**2 + 59*r - 20. Let c be s(-30). What is the derivative of 9*g - 73 - c*g + 7*g + 4*g wrt g?
10
Let o be -43 + 42 - -1*7. Find the third derivative of -32*k**5 - 84*k**o - 25*k**5 - 52*k**6 + 56*k**5 + 127*k**2 - 2*k**6 wrt k.
-16560*k**3 - 60*k**2
Find the first derivative of 4531*x**4 - 11*x - 619 - 146 - 4775*x**4 wrt x.
-976*x**3 - 11
Let p(f) be the second derivative of f**7/21 - 146*f**6/3 + 2407*f**4/12 - 1813*f. What is the third derivative of p(d) wrt d?
120*d**2 - 35040*d
Let i(f) be the second derivative of -1/30*f**6 + 0*f**4 + 22/21*f**7 - 91*f - f**2 - 15/2*f**3 + 0*f**5 + 0. What is the second derivative of i(t) wrt t?
880*t**3 - 12*t**2
Suppose -5*o + 2*n + 5846 = -18089, 4*o - n = 19151. What is the third derivative of o*l**2 - 86*l**4 + 29*l**4 - 4755*l**2 wrt l?
-1368*l
Differentiate 12232*t**4 + 24*t**2 - 6185*t**4 - 6166*t**4 - 5254 with respect to t.
-476*t**3 + 48*t
Let b(v) be the first derivative of 23*v**8/840 - 5*v**4 - v**3/3 + 9*v**2 + 95. Let n(g) be the third derivative of b(g). Differentiate n(x) wrt x.
184*x**3
Suppose 3*m + w = 5, 2*w + 11 = 2*m - 3. What is the second derivative of 96*z - 46*z + 4*z**3 - 46*z - 18*z**m wrt z?
-84*z
Let q(m) be the first derivative of -4*m**7/7 - 2*m**6/3 + 8*m**3/3 - 37*m**2/2 - 2838. What is the third derivative of q(h) wrt h?
-480*h**3 - 240*h**2
Let x(q) be the third derivative of -1261*q**7/70 - 1321*q**5/60 - q**2 - 3*q + 54. Find the third derivative of x(s) wrt s.
-90792*s
Let n be 1 - 2*(-1 + -1). Suppose -58 = -5*f + 17. What is the second derivative of 7*l + n*l + 0*l - 4*l**2 + f*l**2 wrt l?
22
Let h(b) = -b**2 - 32*b + 109. Let v be h(-35). Find the third derivative of 4*s**4 - 27*s**3 - s**4 - 2*s**5 + 165*s**2 - 3*s**v + 25*s**2 wrt s.
-120*s**2 - 162
What is the third derivative of -177*r**5 + 31069*r**2 - 29697*r**2 + 44*r**5 wrt r?
-7980*r**2
Let y(p) = -2*p**2 - 52*p + 18. Let z = -43 - -21. Let x be y(z). Find the third derivative of -204*k**6 - k**2 + x*k**6 + 2*k**2 wrt k.
-1200*k**3
Let h be ((-21)/(-12) - 3)/((-2)/8). Find the third derivative of -68*c**2 + 4*c**h + 2684*c**3 - 2662*c**3 - c**5 wrt c.
180*c**2 + 132
Let u(l) = 378*l**3 + 5*l + 6551. Let d(x) = 75*x**3 + x + 1310. Let s(k) = 11*d(k) - 2*u(k). Differentiate s(b) with respect to b.
207*b**2 + 1
What is the third derivative of 3021*f**2 - 7978*f**3 + 7978*f**3 - 934*f**2 + 3*f**5 - 13*f**5 + 53*f**4 wrt f?
-600*f**2 + 1272*f
Let w(z) = 11*z + 93. Let q be w(-7). What is the third derivative of -10*f**5 - q*f**2 + 18*f**2 + 52*f**5 + 32 - 19 wrt f?
2520*f**2
Let g(p) = 283*p**3 - 7*p**2 - 428*p + 9. Let j(i) = -566*i**3 + 16*i**2 + 855*i - 21. Let o(n) = 7*g(n) + 3*j(n). What is the third derivative of o(d) wrt d?
1698
Let x(r) be the second derivative of 94*r + 0*r**4 + 44/15*r**6 + 0*r**3 + 0 + 166*r**2 + 0*r**5. What is the first derivative of x(p) wrt p?
352*p**3
Find the second derivative of -2*y - 869*y**2 + 22*y - 85 - 430 - 21*y wrt y.
-1738
Let i(c) be the third derivative of 63*c**6/10 + 961*c**3/3 + 3*c**2 - 217*c. Differentiate i(f) with respect to f.
2268*f**2
Let f = -55 + 52. Let z be (3 - 0)/f - (-8 + 1). What is the third derivative of v**6 + 4*v**6 + 3*v**z - 14*v**2 - 2*v**6 wrt v?
720*v**3
Let o(s) be the first derivative of 31*s**7/7 - 3*s**5/5 + 3*s**4/4 + 13*s**3/3 - 45*s + 4567. What is the third derivative of o(i) wrt i?
3720*i**3 - 72*i + 18
Suppose -1 = -j - 11. Let i(r) = -2*r - 15. Let u be i(j). Find the third derivative of 5*x**u - 51*x**5 + 23*x**2 + 23*x**5 wrt x.
-1380*x**2
Let n(h) = 10925*h**2 - 4*h - 8937. Let z(w) = 10916*w**2 - 5*w - 8938. Let i(o) = 5*n(o) - 4*z(o). What is the derivative of i(b) wrt b?
21922*b
Let c = 10855 + -10855. Let b(r) be the first derivative of 26/3*r**3 + c*r - 2*r**4 + 17 + 0*r**2. Find the third derivative of b(p) wrt p.
-48
Let g(d) be the second derivative of -131*d**4 + 367*d**3/6 - d**2/2 - 2205*d. What is the second derivative of g(r) wrt r?
-3144
Suppose 0 = 2*i - 11 - 1. Let z(p) = -10*p - 13. Let v be z(-2). What is the first derivative of -i*c**2 - 6 - c - 6*c + v*c wrt c?
-12*c
Let s = -16020 - -16023. Let o(h) be the third derivative of 0*h**5 - 7/2*h**s + 0 + 26*h**2 + 0*h + 0*h**4 - 1/6*h**6. Differentiate o(t) with respect to t.
-60*t**2
Suppose 10*f = 5*f + 2635. Find the second derivative of -523 - d - d**3 + f + d**4 + 13*d**2 + d**3 wrt d.
12*d**2 + 26
What is the derivative of -9 + 479*j**4 + 166 + 126 + 0 wrt j?
1916*j**3
Let b(v) be the third derivative of v**6/120 - 13*v**5/60 + 11*v**4/24 + 16*v**3/3 - 13*v**2. Let g be b(12). Differentiate -9*j**3 + j - 12*j**3 - g - j wrt j.
-63*j**2
Suppose 0*u + 46 = u. Let b = u + -30. Find the third derivative of -b*t**5 + 21 + 4*t**2 - 21 - 15*t**2 wrt t.
-960*t**2
Let g be ((-2670)/(-40))/((-6)/(-8)) - -5. What is the second derivative of -l**2 + 16 - 249*l**3 - g*l - 9 - 7 + 26*l**3 wrt l?
-1338*l - 2
Suppose 5*p + 1069 = 24*p + 993. Let c(b) be the first derivative of 9/2*b**p + 0*b**2 - 10 + 0*b - 5/3*b**3. Find the third derivative of c(q) wrt q.
108
Let u be -9 - (1 + (-6)/9)*-3. Let z = u - -10. What is the third derivative of -48*n**z + 1 + 21*n**2 - 1 - 21*n**5 wrt n?
-1260*n**2
Let i(w) = 25*w + 1549. Let c(u) = 58*u + 3099. Let j(t) = 4*c(t) - 7*i(t). What is the derivative of j(q) wrt q?
57
Suppose -4*x + 3 = -5*r - 4, 0 = -2*x + 3*r + 3. What is the third derivative of 5*m**2 - 7*m - 248*m**x + 246*m**3 + m**6 + 3*m wrt m?
120*m**3 - 12
Suppose -2*g - 3 = -7. What is the third derivative of -23*p**g + 189*p**2 - 97*p**2 - 70*p**6 wrt p?
-8400*p**3
Let q = -57 + 30. Let l = -16 - q. Find the second derivative of -4*f**4 + f**4 - l*f + 3*f**4 - 3*f**4 wrt f.
-36*f**2
Let s(i) be the first derivative of 350*i**5 - 153*i**2 + i - 111. What is the second derivative of s(o) wrt o?
21000*o**2
Let r(u) = 3171*u**4 + 73*u**2 + u - 4. Let n(a) = 12681*a**4 + 293*a**2 + a - 18. Let i(z) = 2*n(z) - 9*r(z). What is the third derivative of i(k) wrt k?
-76248*k
Let k(u) be the first derivative of -1009*u**4/2 + 4*u**3 - 9*u**2/2 - 839. Find the third derivative of k(q) wrt q.
-12108
What is the third derivative of 3*c**2 + 220*c**3 - 130*c + 940*c**3 - 130*c**3 wrt c?
6180
Suppose 2*n = 5*g - 17, -g + 2*n = -6*g + 13. What is the third derivative of -2*m**2 - 41*m**g + 326*m**2 - 48*m**3 + 23*m**3 wrt m?
-396
Let c(n) = 128*n**2 + 8. Let z(v) = -126*v**2 - 7. Let i(t) = t**2 - 27*t - 55. Let d be i(29). Let b(a) = d*z(a) + 4*c(a). Differentiate b(q) wrt q.
268*q
Let l(v) = -v**2 - 2*v + 13. Let c(f) = -4080*f**2 - 2*f - 1261. Let w(k) = -2*c(k) + 2*l(k). Differentiate w(r) wrt r.
16316*r
Let i = 113 - 120. Let l be ((-49)/2)/i + 4/(-8). What is the third derivative of -8*q**4 - 44*q**2 + 3*q**4 - l*q**4 wrt q?
-192*q
Let t = 123 - 121. What is the first derivative of -t*m**2 - 5*m**2 + 5*m**2 - 2*m + 83 - 19*m**2 wrt m?
-42*m - 2
Suppose 8*d - 81 = -d. Let z = d + -7. What is the first derivative of g - 9*g**z - 45 + 55 - g wrt g?
-18*g
Suppose -4*n = -3*f + 9, f - 3 = 2*n - 0. What is the second derivative of -6*k**3 + f - 3 - 82*k wrt k?
-36*k
Let t(u) be the first derivative of 93 + 55 - 115*u - 48 - 20*u**4. Differentiate t(i) wrt i.
-240*i**2
Let u(h) = -49*h + 22. Let i(y) be the third derivative of 33*y**4/8 - 22*y**3/3 + 35*y**2. Let r(s) = 6*i(s) + 11*u(s). Differentiate r(c) wrt c.
55
What is the second derivative of -125 - 7766*v**2 - 7*v + 6780*v**2 + 5*v + 43 wrt v?
-1972
Let p(f) be the third derivative of 0*f**3 - 219*f**2 + 0 + 93/8*f**4 + 0*f + 0*f**5 - 79/60*f