(w) = w**3 + 10*w**2 + 8*w + 10. Let m be a(-9). Let j be (-12)/(-7) + (-24)/(-84). Find the third derivative of -m*c**2 - c**6 + 5*c**6 + 27*c**j wrt c.
480*c**3
Let b(j) be the third derivative of 1/4*j**5 + 0 + 0*j**4 + 0*j - 29/6*j**3 - 36*j**2. Differentiate b(w) with respect to w.
30*w
Let j(k) = -5*k**3 - 2*k**2 - 3*k - 2. Let c be j(-1). Find the first derivative of c*x**2 - 5 - 28 - 7*x**2 wrt x.
-6*x
Find the third derivative of -86*s**6 + 220*s**5 - 40*s**2 - 220*s**5 wrt s.
-10320*s**3
Let s(u) be the second derivative of u**7/21 + 3*u**5/20 + 3*u**2/2 - 13*u. Let t(c) be the first derivative of s(c). Find the third derivative of t(x) wrt x.
240*x
Let g be (-24)/10*(-20)/8. Find the third derivative of 6*s**2 + s**6 - s**6 - 9*s**g + s**2 wrt s.
-1080*s**3
What is the third derivative of 9*j**6 - 6*j**6 - 4*j**6 - 43*j**2 - 8*j**4 wrt j?
-120*j**3 - 192*j
What is the first derivative of 98 + 55*u - 51*u + 32*u + 59*u wrt u?
95
Find the third derivative of -100*z**2 - 121*z**2 + 16*z**4 + 122*z**4 + 81*z**2 wrt z.
3312*z
Suppose 0 = 3*p - 5*p + 14. What is the third derivative of -24*f**2 - p*f**2 - 13*f**4 - 13*f**4 wrt f?
-624*f
Let f(i) = -i**3 + 7*i**2 - 6*i + 2. Let k be f(6). Find the third derivative of 6*n**5 + 7*n**5 + 7*n**5 + k*n**2 wrt n.
1200*n**2
Let g(y) be the first derivative of 137*y**5/5 - 27*y**2/2 + 2*y - 64. What is the second derivative of g(l) wrt l?
1644*l**2
Let n(d) = 115*d - 69. Let s(k) = -k. Let h(w) = -n(w) - 46*s(w). Differentiate h(j) with respect to j.
-69
Let u(i) = 3*i - 2 - i**2 + i**2 + 3*i**2 - 2*i. Let k be u(1). Find the third derivative of 2*j**2 + 5*j**k - 2*j**6 - j**2 + 5*j**2 wrt j.
-240*j**3
Let o(z) be the second derivative of -103*z**6/30 + 8*z**4/3 - z**3/6 + 3*z - 18. What is the third derivative of o(v) wrt v?
-2472*v
Let k(b) = 92*b**6 - 6*b**3 + 211*b**2 - 6*b - 6. Let f(z) = z**6 - z**3 - z**2 - z - 1. Let l(r) = 6*f(r) - k(r). Find the third derivative of l(d) wrt d.
-10320*d**3
Let d(r) be the third derivative of 67*r**5/20 - r**4/6 - r**3/2 + 229*r**2. Find the second derivative of d(j) wrt j.
402
Let l(n) = 13*n**3 + 9*n**2 + 17*n - 9. Let d(z) = z**2 - 1. Suppose -31*w + 28*w = 6. Let o(m) = w*l(m) + 18*d(m). What is the second derivative of o(x) wrt x?
-156*x
Let u be -4 + -1 + 3 - -14. What is the second derivative of 20*m - u*m - 7*m - 12*m**4 wrt m?
-144*m**2
What is the third derivative of 77525*l**4 - 77735*l**4 + 0*l + 0*l + 457*l**2 wrt l?
-5040*l
Let t be 0 + (2 - -6)*-3. Let p = t + 26. Find the third derivative of 7*s**3 + 4*s + 3*s**p - 4*s - 5*s**2 wrt s.
42
Let v = 11 + -8. Suppose -l + 2*s - v = s, -l + 12 = 2*s. What is the second derivative of t + 11*t**2 - 11*t**l - 6*t**4 wrt t?
-72*t**2
Let c(p) = -190*p**3 + 3*p**2 - 34*p - 454. Let k(m) = 63*m**3 - m**2 + 12*m + 151. Let q(n) = -6*c(n) - 17*k(n). What is the third derivative of q(o) wrt o?
414
Let f be ((-9)/(-6))/((-3)/4). Let r be (-1 - f)*(2 + 3). Find the second derivative of 2*g**r - 3*g + 10*g + 0*g**5 wrt g.
40*g**3
Differentiate 131*j**3 - 151*j**3 + 67 + 21 wrt j.
-60*j**2
Let h(j) be the third derivative of 7*j**6/120 + 109*j**4/24 + 3*j**2 - 11. Find the second derivative of h(g) wrt g.
42*g
Let n(p) = -52*p**4 + 12*p - 48. Let g(b) = 0*b**2 + 5*b - 21*b**4 - 19 - 4*b**2 + 4*b**2. Let z(x) = -12*g(x) + 5*n(x). Differentiate z(y) with respect to y.
-32*y**3
Differentiate -17*z - 22*z - 278*z**2 + 39*z + 382 wrt z.
-556*z
Let t be ((-12)/8)/((-6)/8). Suppose t*v + 2*v = 0. Differentiate -4*q + v*q + 14 - 2*q - 9 with respect to q.
-6
Let k(j) = -j**2 - 5*j + 4. Let g be k(-5). Suppose -4*z - g*v + 22 = -2*v, -5*z + 20 = -5*v. Differentiate -25*u**4 + 26*u**4 - z - 5 wrt u.
4*u**3
Let w(x) = 45*x**4 + 66*x**2 + 5*x + 5. Let s(v) = -45*v**4 - 67*v**2 - 4*v - 4. Let t(y) = -5*s(y) - 4*w(y). Find the third derivative of t(a) wrt a.
1080*a
Let u(y) = -17*y**2 + 6*y - 20. Let s(p) = -17*p**2 + 5*p - 20. Let v be (-1 + (0 - 1))/(2/5). Let f(n) = v*u(n) + 6*s(n). Differentiate f(x) wrt x.
-34*x
Let b = 83 - 54. What is the third derivative of -2*y + 5*y**3 + 11*y**2 + 0*y + 35*y**3 - b*y**2 wrt y?
240
Let r be 0/(-1)*(-2)/4. Suppose 5*a - 15 = 0, 2*u + 9 = 3*a - r*a. What is the first derivative of 7 + u + y**2 + 0 wrt y?
2*y
What is the second derivative of -50*r**4 - 4*r**3 - 3 + 21*r**4 - 2*r - r**3 + 3*r**3 + 18*r**4 wrt r?
-132*r**2 - 12*r
Let c(r) be the third derivative of 13*r**5/10 + r**4/3 + 38*r**2 + 3*r. What is the second derivative of c(f) wrt f?
156
Let r(h) be the second derivative of 8*h + 9/2*h**3 + 0 + 0*h**2 + 7/10*h**5 + 0*h**4. Find the second derivative of r(u) wrt u.
84*u
Let x be (-13)/(-2) + (-3)/6. Let k(o) = 3*o - 8. Let y be k(4). Differentiate 6*u**3 + 6*u**2 - x*u**2 + y wrt u.
18*u**2
Suppose -7*d + 4 = -5*d. Suppose -d*o + 5*a = -3*o + 18, o - 6 = -a. What is the third derivative of -3*v + 7*v**o + 3*v**2 + 3*v + 3*v**2 wrt v?
42
Let m(y) be the first derivative of 0*y**4 - 7 - 11/2*y**2 + 0*y**5 + 2*y**6 + 0*y + 0*y**3. Find the second derivative of m(z) wrt z.
240*z**3
Let d(q) be the first derivative of -73*q**4 - 12*q**3 - 175. What is the third derivative of d(o) wrt o?
-1752
Find the second derivative of 702*g**4 - 828*g**4 + 152*g + 169*g wrt g.
-1512*g**2
Let l be 12/(-8) + (-11)/(-2). Find the second derivative of -54*p**4 + 2*p + 14*p**4 + 26*p**l wrt p.
-168*p**2
Let c(j) = -3*j**5 + 6*j**3 - 79*j**2 + 59*j + 6. Let v(k) = -k**3 + k**2 - k - 1. Let r(d) = c(d) + 6*v(d). Find the second derivative of r(o) wrt o.
-60*o**3 - 146
Suppose n - 14 + 5 = 0. Let w = n + -4. What is the second derivative of -t**3 + 5*t - w*t**3 - 2*t + t wrt t?
-36*t
Let c(k) = 2*k - 15. Let r be c(10). Suppose 6 = r*b - 3*b. Differentiate -b - l**2 - 2 - l**2 with respect to l.
-4*l
Let j(h) be the third derivative of -10*h**2 + 0*h**5 + 0*h + 25/3*h**3 - 1/5*h**6 + 0 + 0*h**4. Differentiate j(i) with respect to i.
-72*i**2
Suppose -1 + 4 = r. Suppose -8*m = -r*m - 2*x - 2, 0 = -3*m + 3*x - 6. Find the third derivative of -5*l**5 - 10*l**2 - m*l**4 + 14*l**2 + 2*l**4 wrt l.
-300*l**2
Find the second derivative of 3918*n + 87*n**2 - 3750*n + 29*n**2 wrt n.
232
Let y(m) = 11*m**4 + 68*m**2 - 5*m - 445. Let z(h) = -16*h**4 - 102*h**2 + 7*h + 668. Let x(d) = -7*y(d) - 5*z(d). What is the first derivative of x(c) wrt c?
12*c**3 + 68*c
Let v(c) = -27*c**2 + 3*c + 9. Let s(b) = 19 - 7 + 5*b + 4 + 2 - 53*b**2. Let y(m) = 3*s(m) - 5*v(m). Find the first derivative of y(r) wrt r.
-48*r
Suppose 3*m = -c - 3*c + 37, 0 = 5*m + 2*c - 71. Differentiate m*k**4 - 859*k + 859*k + 20 with respect to k.
60*k**3
Let n(h) be the second derivative of -17/6*h**3 + 5*h - 1/20*h**5 + 0*h**2 + 0*h**4 + 0. Find the second derivative of n(z) wrt z.
-6*z
Let q = 29 - 22. Find the second derivative of -11*w**2 + 25*w + 15*w**2 - q*w**2 wrt w.
-6
What is the third derivative of -382*q - 208*q**4 - 3*q**2 + 39*q**2 + 384*q wrt q?
-4992*q
Find the third derivative of -20*t**3 + 106*t**2 - 35*t**3 + 57*t**3 + 32*t**4 wrt t.
768*t + 12
Let f(d) be the third derivative of -d**6/120 - 13*d**5/60 - 145*d**4/24 + 208*d**2. What is the second derivative of f(g) wrt g?
-6*g - 26
Let c(q) = -12*q - 16. Let a be c(-3). Find the third derivative of -190*n**5 - a*n**2 + 385*n**5 + n**3 - 149*n**5 wrt n.
2760*n**2 + 6
Let g = -870 - -878. Suppose -3 = 3*f - 15. Differentiate f + 0 - 3 + g*t wrt t.
8
Let z(l) = 31*l**3 - 6*l**2 + 33. Let x = 134 + -128. Let i(c) = -c**3 - c**2 + 1. Let w(f) = x*i(f) - z(f). Find the first derivative of w(d) wrt d.
-111*d**2
Let w(h) = -2*h**2 + 4. Let y be w(3). Let u be (-690)/y - 8/28. Differentiate u*t**3 - 1 + 2 - 49*t**3 + 4*t**4 with respect to t.
16*t**3
Suppose -5*h = 5*x - 65, 0*h + 19 = 2*x - 5*h. Suppose -7*k = -11*k + x. Differentiate -5 + 2*q - 8*q + k*q with respect to q.
-3
Let a(f) be the second derivative of 0*f**2 + 0*f**6 + 11/42*f**7 + 0*f**5 + 0*f**4 + 0 - 26*f + 19/3*f**3. What is the second derivative of a(i) wrt i?
220*i**3
Let a(x) be the third derivative of -22*x**4/3 - 29*x**3/3 - 144*x**2 + 2. Differentiate a(t) with respect to t.
-176
Suppose 0 = d - 5*s + 7, -5*d + 3*s - 6*s + 77 = 0. What is the second derivative of -15*c**5 + d*c**5 + 8*c**5 - 10*c wrt c?
120*c