*l + 328
Find the third derivative of -1671*k**3 - 1695*k**3 + 3366*k**3 - 93*k**4 + 12*k - 478*k**2 wrt k.
-2232*k
Suppose 5*i - i - 3*v = 74, 4*i + 5*v = 90. What is the third derivative of -i*u**4 + 99*u**2 - 4*u**3 + 14*u**4 + 5*u**4 wrt u?
-24*u - 24
Let g(q) be the third derivative of q**6/120 - 193*q**4/12 - 97*q**3 + 791*q**2. What is the first derivative of g(u) wrt u?
3*u**2 - 386
Let f(i) be the second derivative of 47*i**2 - 22*i**2 + 0*i**2 + 9*i + 7*i**3. What is the first derivative of f(o) wrt o?
42
Let h(q) = -q + 3. Let t(x) = -61 - 42 + 101. Let m be ((-9)/(-4))/(12/(-32)). Let d(b) = m*t(b) - 5*h(b). What is the derivative of d(r) wrt r?
5
Let y(q) = 232*q**4 - 2*q**3 + 8*q + 17. Let p(x) = -930*x**4 + 9*x**3 - 33*x - 67. Let z(a) = 2*p(a) + 9*y(a). What is the second derivative of z(v) wrt v?
2736*v**2
Let h(z) be the third derivative of -949*z**9/504 - 53*z**5/2 + 14*z**2 - 4. What is the third derivative of h(n) wrt n?
-113880*n**3
Let l(s) = 14*s + 4. Let w(j) = 14*j + 4. Let c = -16 - -19. Let d(m) = -5*m + 19. Let z be d(c). Let o(a) = z*w(a) - 3*l(a). Differentiate o(q) wrt q.
14
Let s(f) be the second derivative of -14223*f**5/20 + 1657*f**4/6 + f - 6283. What is the third derivative of s(u) wrt u?
-85338
Let p(u) be the second derivative of -855*u**5/4 - 89*u**3/6 - u**2 + 23*u + 15. Find the second derivative of p(v) wrt v.
-25650*v
Let d(t) = t**2 - t - 10. Suppose 3*n = 2*v + 20, -n + 4 = 2*n + 2*v. Let j be d(n). Find the third derivative of 30*q**4 - 3*q**j - 54*q**4 - 9*q**2 wrt q.
-576*q
Let g = -55 + 69. Let u = -11 + g. What is the first derivative of 4 + 84*b**3 - 2 - 121*b**u wrt b?
-111*b**2
Suppose -13*l + 118 = -77. What is the third derivative of -v**5 + 59*v**2 - l*v**6 - 9708*v + 9708*v wrt v?
-1800*v**3 - 60*v**2
Let g(k) be the first derivative of -k**5 + 395*k**4/4 + k**3/3 - 670*k + 8899. What is the first derivative of g(x) wrt x?
-20*x**3 + 1185*x**2 + 2*x
Find the third derivative of -2*g**2 - 876*g - 388*g - 283*g**5 - 643*g + 3133*g wrt g.
-16980*g**2
Let m(i) be the first derivative of -27*i**2/2 + 4*i + 68. Let x(t) = -2*t + 1. Let y(r) = -2*m(r) - 18*x(r). What is the derivative of y(g) wrt g?
90
Let d(g) be the third derivative of 97*g**6/12 + 6*g**5 - g**4/24 - g**3/3 + 21*g**2 + g + 2. What is the third derivative of d(p) wrt p?
5820
Let w(k) be the second derivative of k**5/10 + 121*k**4/6 - 51*k**3/2 + 3*k**2 + 2101*k. Find the second derivative of w(g) wrt g.
12*g + 484
Let n = 3774 + -3772. Let k(f) be the first derivative of -13 + 0*f**3 + 0*f + 10*f**n - 1/4*f**4. What is the second derivative of k(g) wrt g?
-6*g
Differentiate 6143 + 25*l**3 - 211*l**2 + 222*l - 222*l + 212*l**2 wrt l.
75*l**2 + 2*l
What is the third derivative of 50*h**4 + 2278*h + 2278*h - 4556*h - 1049*h**2 - 2*h**3 wrt h?
1200*h - 12
Let c = 12276 + -12274. Let v(d) be the third derivative of 8*d**c - 1/2*d**5 + 19/24*d**4 + 0 + 0*d**3 + 0*d. Find the second derivative of v(l) wrt l.
-60
Let c(w) = -w**2 + 4*w + 15. Let a be c(6). What is the third derivative of 9*h**4 - 29*h**2 - 6*h**5 + 24*h**2 - a*h**6 + 6*h**5 wrt h?
-360*h**3 + 216*h
Let z(l) be the second derivative of 91*l**6/15 - 8213*l**4/12 + 2697*l - 1. What is the third derivative of z(n) wrt n?
4368*n
Let q(u) = 62*u - 21. Let v(r) = 15*r - 6*r - 72*r + 21. Let h(n) = 5*q(n) + 6*v(n). What is the derivative of h(z) wrt z?
-68
Suppose 33 = 6*s - 3. Find the third derivative of -14*l**2 + 28*l**3 - 10*l**s - 5*l**2 + 12*l**6 wrt l.
240*l**3 + 168
Let i(v) be the third derivative of 34*v**5/3 - 1015*v**4/24 - 772*v**2. What is the second derivative of i(p) wrt p?
1360
Let x(m) be the second derivative of 19*m**7/14 + m**6/30 - 23*m**5/10 + m**4/6 - 2441*m**3/3 + 10382*m. Find the third derivative of x(i) wrt i.
3420*i**2 + 24*i - 276
Find the second derivative of -1656*a**3 + 0*a**2 + 235148*a + a**2 - 235003*a - a**2 wrt a.
-9936*a
Let z(v) be the first derivative of -v**6/3 - 535*v**3/3 + v**2 + 93*v + 2615. What is the second derivative of z(k) wrt k?
-40*k**3 - 1070
Suppose 52 = 4*q - 3*u, -u - 15 = 5*q - 61. Suppose -j + q = -3. What is the third derivative of -10*h**2 - 17*h**6 + 11*h**2 - j*h**2 + 0*h**2 wrt h?
-2040*h**3
Suppose 6*p = 11 + 133. Suppose -28 = 22*t - p*t. What is the second derivative of -7*r**3 + t*r - 28*r + 10*r wrt r?
-42*r
Let f(j) be the second derivative of 83*j**8/4 - j**4/3 + j**2/2 - 206*j. Find the third derivative of f(o) wrt o.
139440*o**3
Let r(y) be the third derivative of -1/20*y**6 + 0*y**5 - 2/3*y**3 + 1/8*y**4 - 7*y**2 - 1 + 0*y. Differentiate r(q) with respect to q.
-18*q**2 + 3
Let o be (-3)/(-3) - ((-2)/1)/1. Suppose -n + o*n - 4*f - 30 = 0, 2*f = 5*n - 35. Find the second derivative of 26*k - k**5 - 4*k**n - k + 8*k**5 wrt k.
60*k**3
Suppose 5*z = 8 - 3. Let n be (4/z)/(8/2) - -2. What is the second derivative of 2*y**3 + 2*y + 18*y - 4*y**n - 6*y**3 wrt y?
-48*y
Let x(v) = -v**5 + 81*v**3 - 771*v. Let w(g) = g**5 + 83*g**3 - 770*g. Let j(t) = -3*w(t) + 2*x(t). Find the second derivative of j(c) wrt c.
-100*c**3 - 522*c
Find the second derivative of -45*o**5 + 1619*o**4 + 44*o**5 + 659*o**4 + o**3 + 3338*o - 117*o**4 wrt o.
-20*o**3 + 25932*o**2 + 6*o
Let f be 3 - (-17)/(-5) - 261/(-15). Suppose -q = w - 3, 2*q = -5*w - 2 + f. Find the second derivative of -4*r + 10*r**w + 2*r**3 + 21*r wrt r.
72*r
Let z(n) be the first derivative of 29*n**5 + 7*n**4/4 + 3*n**3 - 73*n + 199. What is the third derivative of z(u) wrt u?
3480*u + 42
Let q(v) be the third derivative of -5/168*v**8 + 0*v**5 + 0*v**6 + 19 - 11/24*v**4 - 1/70*v**7 + 0*v - v**2 + 0*v**3. Find the second derivative of q(p) wrt p.
-200*p**3 - 36*p**2
Let s = -11 + 57. Suppose -160*d = -162*d + s. Differentiate -8*n + 4*n - d*n - 4*n - 46 wrt n.
-31
Let p(k) = k**3 + 3*k**2 + 2*k - 2. Let g(o) = 883*o**3 - 18*o**2 + 5423*o + 13. Let x(q) = -g(q) - 6*p(q). What is the second derivative of x(a) wrt a?
-5334*a
Let b(h) = h**3 + 3*h**2 - 12*h - 8. Let n be b(-5). Find the second derivative of n*v**2 - 8*v + 35 - 7*v**3 - 2*v**3 - 30 wrt v.
-54*v + 4
Let n(s) be the first derivative of -s**6/3 + 17*s**5 - 11*s**4/4 + 1695*s**2 - 1797. Find the second derivative of n(t) wrt t.
-40*t**3 + 1020*t**2 - 66*t
Let y(l) = -11561*l**3 - 9*l**2 - 25*l + 5319. Let x(h) = 17341*h**3 + 14*h**2 + 40*h - 7978. Let u(s) = -5*x(s) - 8*y(s). Differentiate u(j) wrt j.
17349*j**2 + 4*j
Let o be (-363)/(-132)*(-2 + 572/2). What is the first derivative of 388*d - 5 - 147*d**4 + 393*d - o*d wrt d?
-588*d**3
Let d(r) be the second derivative of 481*r**5/20 - r**3/3 - 424*r**2 + 73*r. What is the derivative of d(p) wrt p?
1443*p**2 - 2
Let n = -251 - -253. Find the first derivative of 4*m**n + 247*m + 248*m - 501*m + 18 wrt m.
8*m - 6
Let y(g) = 101*g - 34. Let u(i) = 200*i - 67. Suppose -2*x + 5 = 5*z, 3*z = -x - 2*z. Let r(h) = x*y(h) - 3*u(h). Find the first derivative of r(w) wrt w.
-95
Let l(h) = -2. Let y(r) = 1086*r + 705. Let g(f) = -6*l(f) - y(f). Find the first derivative of g(n) wrt n.
-1086
Suppose -3352 - 1130 = -9*i. Suppose -8*o + 6910 + i = 0. What is the third derivative of 16*w**3 - o*w + 926*w - 23*w**2 wrt w?
96
Suppose -9 - 3 = -4*q. What is the second derivative of -i**5 + 32*i**3 + 45*i + i**q - 33*i**3 - 21*i**4 wrt i?
-20*i**3 - 252*i**2
Let g(h) = 36*h**4 - 92*h**3 - 6180*h + 5. Let v(l) = 54*l**4 - 137*l**3 - 9269*l + 7. Let o(s) = -7*g(s) + 5*v(s). What is the second derivative of o(y) wrt y?
216*y**2 - 246*y
Let m = 43406 - 43404. Let d(g) be the third derivative of 7/3*g**3 + 0*g + 0*g**5 + 0*g**4 + 0 - 11/60*g**6 + 23*g**m. What is the derivative of d(w) wrt w?
-66*w**2
Suppose -5*u + 276 = 4*p, 218 = 4*u + 5*p - 10. Suppose -19*g = -15*g - u. Differentiate m - 5 + 6*m + g wrt m.
7
Suppose -61*d + 58*d = -105. What is the first derivative of -56*c + 57 + d - 4 - 8 wrt c?
-56
What is the first derivative of 80*f**3 - 109*f**4 + 602 + 106*f**4 - 76*f**3 wrt f?
-12*f**3 + 12*f**2
Let x(j) = -3083*j**3 + 12*j**2 + 6*j + 1189. Let n(r) = -9249*r**3 + 40*r**2 + 20*r + 3567. Let u(p) = -3*n(p) + 10*x(p). Differentiate u(y) with respect to y.
-9249*y**2
Let i(d) be the first derivative of 3029*d**2/2 + 1909*d + 2760. Differentiate i(z) with respec