Suppose c + 4 = 3*w - 5*w, 4*w = c - 14. Let g = 5 - c. Differentiate -3 + 2 - g*p**3 + 5 - 1 with respect to p.
-9*p**2
Suppose -5*y + 12 = 2. Differentiate y + 2*b**3 + 1 - 5*b**3 wrt b.
-9*b**2
Let m(j) be the third derivative of j**6/60 + j**3/2 + 6*j**2. Differentiate m(r) with respect to r.
6*r**2
Let t(x) be the second derivative of 3*x**6/10 + x**4/2 + 10*x. Find the third derivative of t(b) wrt b.
216*b
What is the second derivative of -57*p**4 + 39*p**4 + 14*p + 5*p wrt p?
-216*p**2
Find the first derivative of -3*d**3 + 0*d**4 + 3 + 4*d**4 + 3*d**3 wrt d.
16*d**3
Let n(s) be the second derivative of -s**4/2 + 35*s**2/2 + 15*s. Differentiate n(z) wrt z.
-12*z
Let z(a) = 4*a**3 + 17*a**2 + 9*a + 17. Let w(c) = c**3 + 6*c**2 + 3*c + 6. Let y(d) = 17*w(d) - 6*z(d). What is the second derivative of y(k) wrt k?
-42*k
Let g(s) be the first derivative of -4*s**2 - 11*s - 5. Differentiate g(n) wrt n.
-8
Let n(p) be the third derivative of 0*p**4 + 4*p**2 + 1/3*p**3 + 1/42*p**7 + 0*p**5 + 0 + 0*p**6 + 0*p. What is the first derivative of n(z) wrt z?
20*z**3
Let i(f) be the third derivative of f**5/15 + f**4/12 - f**2. What is the second derivative of i(o) wrt o?
8
Let r(h) be the second derivative of 13*h**6/30 - 17*h**2/2 + 5*h. What is the derivative of r(k) wrt k?
52*k**3
Let y(g) be the third derivative of -1/35*g**7 + 0*g**5 + 0*g + 0 + 0*g**3 + 1/8*g**4 + 0*g**6 + 2*g**2. What is the second derivative of y(z) wrt z?
-72*z**2
Let h(m) be the third derivative of 3*m**7/35 - 7*m**4/24 + 41*m**2. What is the second derivative of h(l) wrt l?
216*l**2
Let c(i) = -20*i**3 - i**2 + 10*i. Let y(w) = -20*w**3 - 2*w**2 + 10*w. Let h(d) = 3*c(d) - 2*y(d). What is the third derivative of h(q) wrt q?
-120
Let g = 11 + -9. Let m be 3/(-2) - 7/g. Let c(t) = 6*t**2 + 4. Let d(s) = 5*s**2 + 3. Let i(z) = m*d(z) + 4*c(z). Find the first derivative of i(x) wrt x.
-2*x
Let v be -2*(-2 - (-1)/(-1)). What is the second derivative of 7*i**5 + v*i - 15*i**5 - i + 9*i**5 wrt i?
20*i**3
Let i(z) be the second derivative of 13*z**7/42 + 25*z**3/6 - 27*z. What is the second derivative of i(c) wrt c?
260*c**3
Let t be ((-1)/2)/(1/(-4)). Suppose 2 = -t*p + 12. What is the third derivative of p*w**2 + w**5 - 4*w**2 + w**2 wrt w?
60*w**2
Let h(f) = f**3 - 4*f**2 + 2. Let i = 3 - -1. Let d be h(i). What is the first derivative of -d*v - 9*v**4 + 2*v + 6*v**4 + 2 wrt v?
-12*v**3
Let h(n) = -5*n**3 - 22*n**2 - 6*n + 6. Let j(c) = -c**3 - c + 1. Let z(d) = h(d) - 6*j(d). What is the third derivative of z(w) wrt w?
6
Find the second derivative of -14*n**4 - 14*n + 32*n**4 - 19*n**4 wrt n.
-12*n**2
Let q(m) = -7*m - 1. Let r be q(-2). Suppose -g - r = -3*x + g, 4*x = 2*g + 16. Differentiate 0*o**x - o**4 + 0*o**3 + 1 with respect to o.
-4*o**3
Differentiate 1 - 8*x**3 + 5*x**4 + 8*x**3 + 2*x**4 with respect to x.
28*x**3
Let j(t) = 2*t**2 + 3*t + 3. Let k be j(-2). What is the third derivative of -3*g**k - 3 + 3 - 2*g**2 wrt g?
-180*g**2
Let z(k) = k**2 + 3*k + 1. Let d be z(-3). Suppose 0 = 4*x - 2*f - 6, 4*f + d - 5 = 0. Find the first derivative of x + 4*b + 1 - 5 wrt b.
4
Let b be (0 - 1)/(1/(-2)). Suppose -d = -b*d + 2. Find the third derivative of -s**d + 3*s**2 + 0*s**2 - 2*s**3 wrt s.
-12
Differentiate 8 - 10 + 17*p**2 + 16 wrt p.
34*p
Let o(m) = -33*m + 2. Let f be o(-3). What is the second derivative of 101*x**2 - f*x**2 - 8*x + x**3 wrt x?
6*x
Let s(f) = -f**3 + 10*f**2 - 8*f - 2. Let v be s(9). Suppose 3*l - 4 = h, -3*l + 2*l + 10 = 4*h. Find the third derivative of z**5 + v*z - 7*z - 2*z**l wrt z.
60*z**2
Let f = 6 + -2. Let g be ((-1)/2)/((-2)/24). What is the third derivative of f*h**g + 2*h**2 - 2*h**6 + 0*h**6 wrt h?
240*h**3
Let u(b) = b + 1. Let r(l) = 9*l**2 - 8*l - 1. Let h(j) = r(j) + u(j). What is the second derivative of h(g) wrt g?
18
Let i = -16 - -26. Suppose i - 30 = -4*p. What is the second derivative of 0*a - 2*a + 4*a**2 - p*a**2 wrt a?
-2
What is the derivative of 3 - 269*v**2 - 8*v**3 + 269*v**2 wrt v?
-24*v**2
Suppose -5*k + 0*k + 20 = 0. What is the third derivative of 2*v**2 - v**3 + 0*v**3 + k*v**3 wrt v?
18
Suppose 0 = 4*s + 5 - 25. Let j(q) = q**2 - 6*q + 6. Let r be j(s). Differentiate 1 + r - 2*u**2 + u**3 + 2*u**2 with respect to u.
3*u**2
Let f(r) be the first derivative of 1/2*r**4 + 2 + 0*r + 0*r**3 + r**2. What is the second derivative of f(b) wrt b?
12*b
Suppose 3*x = -x. Find the first derivative of 1 + x + 1 - 4*s**4 - 5 wrt s.
-16*s**3
Suppose 8 = 4*b + 3*d, -2*b - 2*d = 2*b - 8. Find the third derivative of -4*p - 2*p**2 - 4*p**3 + b*p**3 + 4*p wrt p.
-12
Let z be 2/4 - (-3)/2. Differentiate -3 + 5*r**3 + 2 + z - 2*r**3 with respect to r.
9*r**2
Let q be (-18)/(-8) + 1/(-4). Find the first derivative of 3 + 4*t**2 + 3*t**2 + 2*t**4 - 7*t**q wrt t.
8*t**3
Let w(h) = -26*h**4 - 7*h**2 - 7*h + 21. Let z(u) = -25*u**4 - 6*u**2 - 6*u + 21. Let d(g) = 6*w(g) - 7*z(g). Differentiate d(v) with respect to v.
76*v**3
Let h(i) be the third derivative of -i**8/1680 - i**5/30 + 5*i**4/24 - 3*i**2. Let s(g) be the second derivative of h(g). Differentiate s(y) wrt y.
-12*y**2
Let v be 15/9 - (-4)/12. Let q(l) be the first derivative of -1 + 1/2*l**v + 2*l. Differentiate q(f) wrt f.
1
Let y(s) = 4*s + 1. Let d be y(1). Suppose -3*j = -d*r + 1, -2 = 4*r - 5*j + 5. What is the derivative of -3 + r + 3*o**2 - 4*o**2 wrt o?
-2*o
Suppose c = -2*d + 12, -3*c = d - 1 - 10. Differentiate 2 - 3 - c*v**4 + 4*v**4 + 4 with respect to v.
8*v**3
Let b(q) be the first derivative of -1/3*q**3 + 0*q**4 + 3 + 0*q**2 - 1/5*q**5 + 0*q. Find the third derivative of b(g) wrt g.
-24*g
Find the second derivative of 3 - 4*d**3 - 3 - 9*d - 8*d**3 wrt d.
-72*d
Let n be 46/4 - (-1)/(-2). What is the second derivative of -n*l**3 - 7*l - 7*l**4 + 3*l**3 + 8*l**3 wrt l?
-84*l**2
What is the derivative of 7 + 6 + 5*w - 22 + 4 wrt w?
5
Let t = 1 + 0. Let r(y) = -5*y**3 - 4*y**2 - 4*y - 2. Let b(o) = -o**2 - o - 1. Let l(q) = t*r(q) - 4*b(q). Differentiate l(n) wrt n.
-15*n**2
Let c = 16 - 10. Suppose -2*k + c + 4 = 0. Find the second derivative of -2*s**5 + 2*s**5 - s + 4*s**k wrt s.
80*s**3
Let w(z) = 7*z**3 + 9*z**2 - 38*z + 51. Let h(v) = 3*v**3 + 4*v**2 - 19*v + 26. Let b(j) = -9*h(j) + 4*w(j). Find the first derivative of b(i) wrt i.
3*i**2 + 19
Find the third derivative of 2*t**2 - 2*t**4 + 0*t**4 + 2*t**4 + 12*t**5 wrt t.
720*t**2
What is the second derivative of 25*a - 34*a - 38*a - 18*a**3 wrt a?
-108*a
Let f = 0 + 2. What is the third derivative of u**2 + u**2 - 3*u**5 + u**f wrt u?
-180*u**2
What is the second derivative of -4*u + 26 - 26 + 11*u**3 wrt u?
66*u
Let n = 4 + -9. Let o = n - -9. Find the third derivative of -2*l**3 + l**2 - 3*l**2 + o*l**2 wrt l.
-12
Suppose -2 = g - 5. Suppose 3 = -2*o + 3*o. What is the derivative of 3*w**g + o + 0*w**3 - 4 wrt w?
9*w**2
Let y(x) = 11*x**2 - 5*x - 23. Let o(z) = 11*z**2 - 4*z - 24. Let h(u) = -5*o(u) + 4*y(u). Find the first derivative of h(l) wrt l.
-22*l
Suppose -t = -5*k + 2 - 67, -2*k = t + 33. Let z be (4/k)/(1/(-7)). What is the second derivative of -m**5 - m**5 + 3*m**5 - 4*m + z*m wrt m?
20*m**3
Let p(b) be the second derivative of 3*b**8/14 - b**4/3 + 18*b. Find the third derivative of p(z) wrt z.
1440*z**3
Let t(j) be the second derivative of -j**5/60 + 2*j**3/3 + j**2 + 2*j. Let a(p) be the first derivative of t(p). What is the first derivative of a(c) wrt c?
-2*c
Let s(f) be the first derivative of 6*f + 5/4*f**4 + 0*f**3 + 0*f**2 - 1. Differentiate s(r) wrt r.
15*r**2
Let z(b) be the second derivative of -b**8/14 - b**4/3 + 27*b. Find the third derivative of z(w) wrt w.
-480*w**3
Let n(o) be the first derivative of o**3/3 - 6*o**2 + 2. What is the second derivative of n(d) wrt d?
2
Let n(v) = -v**3 + 8*v**2 - 5*v - 10. Let y be n(7). Find the third derivative of -k**4 + 0*k**2 - y*k**2 + 3*k**4 wrt k.
48*k
Let q = 2 - -1. Let t = -4 - -7. Find the first derivative of 2 - 1 + t*u**3 - 2*u**q wrt u.
3*u**2
What is the second derivative of -4*k**2 + 17*k + 7*k - 17*k**2 wrt k?
-42
Let b(z) be the third derivative of z**6/40 + z**4/12 + 10*z**2. Find the second derivative of b(i) wrt i.
18*i
Suppose 4*u + 11 = 3*n - 1, 4 = n + 3*u. Differentiate 2*x**2 - 8*x**2 + 4 + n*x**2 wrt x.
-4*x
Let d(m) be t