v + 0*v**4 + m*v**5 + 9*v**2. Differentiate k(c) wrt c.
6*c
Suppose 4*o + 2*c = c + 20, -o + 3*c - 8 = 0. What is the second derivative of 2*z**o + 399*z - 411*z - 2*z**4 + 11*z**5 wrt z?
220*z**3
Let x(f) = -15*f**2 + 7*f. Let l = 12 - 5. Let d(s) = s**3 + 14*s**2 - 6*s. Let u(g) = l*d(g) + 6*x(g). What is the third derivative of u(j) wrt j?
42
Let j(g) be the first derivative of -527*g**3/3 + 576*g + 166. Differentiate j(y) with respect to y.
-1054*y
Suppose -36 + 42 = 2*w. Suppose 0*s = -2*s + 6. Differentiate -w*d**s - d**3 - 5 + 1 + 2*d**3 wrt d.
-6*d**2
Let h = -50 - -52. Find the second derivative of 30*p**2 + 5*p - 6*p - h*p - 5*p wrt p.
60
Differentiate -2*v**2 + 0*v**2 + 0*v**2 + 66 - 2*v**2 with respect to v.
-8*v
Let w = 110 + -108. Differentiate 4 - w*u**4 + 12*u**4 + 31 with respect to u.
40*u**3
Let z(p) be the third derivative of -2*p**7/15 - 67*p**5/60 + p**2 - 5. What is the third derivative of z(w) wrt w?
-672*w
Let s(m) be the first derivative of m**7/7 - m**5/5 + m**3/3 + 6*m - 100. Find the third derivative of s(g) wrt g.
120*g**3 - 24*g
Let w be (-50)/(-15) + (-4)/(-6). What is the third derivative of -21*s**2 + 42*s**2 + 2*s - 15*s**5 - w*s**5 wrt s?
-1140*s**2
Let s(x) = -82*x - 97. Let p(z) = 85*z + 97. Let a(d) = 7*p(d) + 6*s(d). What is the derivative of a(o) wrt o?
103
Let p(a) be the first derivative of 97*a**5/5 + 3*a**2/2 + 59. Find the second derivative of p(z) wrt z.
1164*z**2
What is the derivative of -i + 320*i**3 - 4865 + 4726 - 109*i**3 + i wrt i?
633*i**2
Let g(r) be the second derivative of -533*r**7/42 - r**5/20 + r**3/3 - 17*r**2 - 482*r. Find the second derivative of g(z) wrt z.
-10660*z**3 - 6*z
Let i(o) = o**2 - 8*o - 101. Let t be i(15). Let r(a) be the first derivative of 3/2*a**t + 0*a**2 - 1 + a**3 + 0*a. What is the third derivative of r(m) wrt m?
36
Let w(z) be the second derivative of 981*z**5/20 - z**4/3 - 17*z**3/6 - 523*z + 2. What is the third derivative of w(p) wrt p?
5886
Let q(f) = -79*f**4 - 6*f**3 - 5*f**2 - 15*f + 6. Let s(l) = l**3 + l**2 + l - 1. Let t(z) = q(z) + 6*s(z). Find the third derivative of t(o) wrt o.
-1896*o
Let z(p) be the third derivative of 3*p**6 - 35*p**3 + 280*p**2 + 2. Differentiate z(n) with respect to n.
1080*n**2
Suppose -6*o - 3*f = -o - 15, -f = 5*o - 15. Find the third derivative of 2*j**2 + 10*j**2 - o*j**2 - 7*j**3 + 0*j**3 wrt j.
-42
Let y(s) be the third derivative of -s**6/20 + 7*s**5/60 - 103*s**4/24 - 22*s**2 + 2*s. Find the second derivative of y(a) wrt a.
-36*a + 14
Let x(u) = -62*u**3 - 65*u + 5. Let n(o) = 12*o**3 + 38*o + 19*o**3 - 2 - 6*o. Let q(f) = -5*n(f) - 2*x(f). Find the second derivative of q(m) wrt m.
-186*m
Let w be 2/(-1) - 77/(-7). Find the second derivative of -3*y**5 + y**5 + y + w*y wrt y.
-40*y**3
Let r be 5/15 - (-5)/3. Suppose 4*o - 18 = r*j, 0*o + j = -o + 9. Differentiate -3*i - 3 - 2 + o*i with respect to i.
3
Let i(z) = -z**4 - z**3 + z**2 - z + 1. Let n(o) = -96*o**4 + 4*o**3 - 4*o**2 + 4*o + 95. Let h(f) = -4*i(f) - n(f). What is the first derivative of h(l) wrt l?
400*l**3
What is the third derivative of -u**2 - 76*u**4 - 14 + 3*u**2 + 50*u**4 - 4*u**2 + u**5 - 189*u**4 wrt u?
60*u**2 - 5160*u
Let b(q) be the second derivative of -277*q**5/20 + q**4/12 + 77*q**3 - 474*q. What is the second derivative of b(k) wrt k?
-1662*k + 2
Let a = 125 + -125. Let u(w) be the second derivative of 0 + 0*w**4 + a*w**3 + 8*w + 1/2*w**2 + 1/10*w**5. Differentiate u(t) with respect to t.
6*t**2
Let i(z) = -56*z**4 - 6*z**3 - 6*z**2 + 6*z - 81. Let b(h) = h**4 - h**3 - h**2 + h + 1. Let y(s) = 6*b(s) - i(s). What is the derivative of y(x) wrt x?
248*x**3
Let s(y) = 3*y + 7. Let c(a) = a**3 - 2*a**2 + 2*a - 6. Let f be c(0). Let r(b) = -6*b - 13. Let l(i) = f*r(i) - 13*s(i). What is the derivative of l(v) wrt v?
-3
What is the second derivative of 18*s**2 - 23*s**2 + 36*s + 0*s - 19*s**5 wrt s?
-380*s**3 - 10
Let z(r) = 8*r**2 - 439*r - 723. Let n(i) = 23*i**2 - 1316*i - 2169. Let l(f) = 6*n(f) - 17*z(f). Differentiate l(q) wrt q.
4*q - 433
Let o(r) = 6*r - 2 + 4 - 5. Let w be o(2). Find the third derivative of -11*p**2 + w*p**2 - p**3 + 5*p**2 - p**3 wrt p.
-12
Suppose 14 = 4*t - q, 7*t + 5*q - 5 = 2*t. What is the derivative of 4*n**t - 10*n - 40 - 2*n**3 - n**3 + 18 wrt n?
3*n**2 - 10
Let n(a) be the first derivative of 3*a**8/14 + 25*a**4/12 - 30*a + 20. Let m(l) be the first derivative of n(l). What is the third derivative of m(v) wrt v?
1440*v**3
Let l(w) be the first derivative of -w**7/7 + 88*w**5/5 - 220*w**3 - 335. What is the third derivative of l(y) wrt y?
-120*y**3 + 2112*y
Let w(y) = 3*y - 4. Let a be w(3). What is the third derivative of 16*m**a + 10*m**2 - 19*m**5 - m**2 - 2*m**2 wrt m?
-180*m**2
Let t(b) = b + 1. Let u(s) = 8*s + 60. Let c(d) = 3*t(d) - u(d). Find the first derivative of c(i) wrt i.
-5
Let l(f) be the third derivative of f**8/840 - f**6/60 + 23*f**3/3 - 2*f**2. Let m(h) be the first derivative of l(h). Find the third derivative of m(o) wrt o.
48*o
Let j(b) be the third derivative of 79*b**6/120 + 113*b**3/6 + b**2 - 130*b. What is the derivative of j(a) wrt a?
237*a**2
Let i be (-11)/(-33)*(2 + 4/(-4)). Let k(y) be the second derivative of 3/2*y**2 - 3*y + 0 + 0*y**3 - i*y**4. Differentiate k(b) with respect to b.
-8*b
Let p(i) be the first derivative of 6 + 4/5*i**5 + 0*i**2 - 5/3*i**3 + 0*i**4 + 0*i. What is the third derivative of p(r) wrt r?
96*r
Let k(m) be the first derivative of 57*m**2 + 32*m - 114. Differentiate k(z) with respect to z.
114
Let o(h) be the third derivative of 2*h**7/105 + 3*h**6/20 - h**5/60 - 149*h**4/24 - 574*h**2. Find the third derivative of o(l) wrt l.
96*l + 108
Let m(j) be the second derivative of -j**8/28 + j**6/6 - j**4/12 + 85*j**2/2 + 46*j. Find the third derivative of m(o) wrt o.
-240*o**3 + 120*o
Let w(j) be the third derivative of 3*j**6/40 - j**5/10 - 229*j**4/8 - 627*j**2. Find the second derivative of w(h) wrt h.
54*h - 12
Let i(k) = k**3 - 5*k**2 + 2*k - 5. Let y be (10/3)/(10/15). Let r be i(y). What is the third derivative of 13*x**2 + x**r - 2*x**5 + 2*x**5 - 11*x**2 wrt x?
60*x**2
Let y(a) be the second derivative of -3/4*a**5 + 0*a**2 + 0 + 0*a**4 + 4*a - 1/3*a**3. Find the second derivative of y(n) wrt n.
-90*n
Suppose 3*d + 3*u - 6 = 0, -6*d = -3*d + 5*u - 10. Suppose -2*g + 4*h = -2 - 2, -2*g - 3*h + 11 = d. Differentiate 5 + 1 + 0 - 1 + 4*n**g with respect to n.
16*n**3
Let s(b) = 112*b + 373. Let t(y) = 335*y + 1116. Let f(h) = 8*s(h) - 3*t(h). Differentiate f(k) with respect to k.
-109
Let n = 20 + -13. What is the derivative of -17*p + n + 1 + 0 wrt p?
-17
Suppose 2*n - 7 = -q, -3*q + 27 - 8 = 5*n. Let w = -7 + 13. What is the third derivative of -26*t**4 - w*t**6 + 26*t**4 - 6*t**n wrt t?
-720*t**3
Let w(q) be the first derivative of 26*q**6/3 - 3*q**2/2 - 10*q + 30. Find the second derivative of w(i) wrt i.
1040*i**3
Differentiate -20 - 8*d**2 - 20 - 4*d**2 + 101*d**2 wrt d.
178*d
Suppose -5*u - 7 = -2, d - 7 = 4*u. Find the third derivative of -t**6 - 3 + d + 2*t**6 + 11*t**2 wrt t.
120*t**3
Let v(k) = -k**2 - 9*k + 12. Let i be v(-10). What is the third derivative of -11*u**2 - 7*u**i - 5*u**3 + 13*u**2 wrt u?
-30
Suppose 0*q = -4*q + 8, 3*q + 2 = 4*o. What is the third derivative of -4*d**2 + 6*d**o + 27*d**5 + 3*d**2 wrt d?
1620*d**2
Let s(n) be the third derivative of n**9/504 - 41*n**7/105 + 59*n**5/12 + 126*n**2. What is the third derivative of s(q) wrt q?
120*q**3 - 1968*q
Let m = -23 + 32. Suppose -5*n + 19 = m. What is the third derivative of 5*u**6 + 4*u**6 - 2*u**n - 5*u**6 wrt u?
480*u**3
Suppose 21 - 3 = 3*r. Let f = 8 - r. What is the first derivative of 3 + 2*t - 2*t - 13*t**f + 1 wrt t?
-26*t
Let z(k) be the third derivative of 61*k**6/120 - 35*k**4/12 + 62*k**2. Find the second derivative of z(p) wrt p.
366*p
Let x(v) = 3*v**2 + v - 3. Let a be x(-3). Suppose -2*i + 5*d + 38 - 13 = 0, 3*i = 2*d + a. What is the first derivative of -3*o**3 - 3 - o**3 + i*o**3 wrt o?
3*o**2
What is the derivative of -h - 66*h - 3 + 1 + 10*h - 22*h wrt h?
-79
Let n = 289 - 123. Differentiate 166*o**3 + 22 - 4 + 22*o**4 - n*o**3 with respect to o.
88*o**3
Let r(f) = -37*f + 13. Let a(v) = 38*v - 14. Let n be 2/(4/(-24)*-2). Let y(p) = n*r(p) + 5*a(p