4. Find the third derivative of p(l) wrt l.
-240*l**2
Let o be 0/(4 + -1 - 4). Find the second derivative of -q + 0*q - 3*q**4 - q**4 + o*q**4 wrt q.
-48*q**2
Let g be (-2)/(-2) + (0 - -2). Find the second derivative of v**g - v**3 - 3*v**5 + 2*v wrt v.
-60*v**3
Find the third derivative of -w**6 + 10*w**6 + 32*w**3 - 32*w**3 + 4*w**2 wrt w.
1080*w**3
Suppose 4*s - 9 = s. What is the second derivative of 0*g**4 - 4*g**4 - s*g**4 + 5*g + 2*g wrt g?
-84*g**2
Let c(g) be the first derivative of 4*g**3/3 + g**2 + 42*g + 36. Differentiate c(r) with respect to r.
8*r + 2
Let d(a) = -3*a + 2. Let u be d(2). Let l be (3 - 4)/(1/u). Find the first derivative of -2*s**4 + s**l + 2*s**4 - 1 wrt s.
4*s**3
Let o(s) be the second derivative of -s**7/280 + s**6/360 - s**3/6 - 2*s. Let p(y) be the second derivative of o(y). What is the third derivative of p(a) wrt a?
-18
Let q(m) be the second derivative of m**6/40 - m**5/20 + m**2 + 4*m. Let d(x) be the first derivative of q(x). What is the third derivative of d(k) wrt k?
18
Let t(p) be the third derivative of -p**6/15 + p**3/6 + 9*p**2. Find the first derivative of t(b) wrt b.
-24*b**2
Find the first derivative of 1 + 15*n**3 - 33 + 10*n**3 wrt n.
75*n**2
What is the second derivative of 13*t + 19 - 19 - 12*t**2 wrt t?
-24
Let b(d) be the second derivative of -2*d**7/21 - 7*d**4/6 + 5*d. What is the third derivative of b(k) wrt k?
-240*k**2
Let j(v) be the third derivative of 1/40*v**6 + 0*v - 5*v**2 + 0*v**5 + 0 - 1/2*v**3 + 0*v**4. What is the derivative of j(q) wrt q?
9*q**2
Let i(w) = 2*w**2 + 3*w. Suppose -2*p - 2*x - 10 = 0, p - 2*x = 4*p + 12. Let y be i(p). What is the derivative of 4*o**2 + 1 + 3*o**y - 6*o**2 wrt o?
2*o
Let i(a) = -3*a**3 + 9*a**2 - 3*a + 3. Let q(g) = -g**4 + 5*g**3 - 19*g**2 + 7*g - 6. Let d(x) = -7*i(x) - 3*q(x). Find the third derivative of d(m) wrt m.
72*m + 36
Let y(a) = 2*a**2 - 3*a. Let b be y(2). Differentiate -b - 2*p**2 + 2*p**2 + 0 - p**2 with respect to p.
-2*p
What is the third derivative of 21*y**5 - 343*y**2 + 7*y**5 + 357*y**2 wrt y?
1680*y**2
Let p be (-17)/(-4) - (-6)/(-24). Differentiate 4*t - p + 2*t + 3 - 5 with respect to t.
6
Suppose 5*f - 5 = 5. Find the first derivative of 2 + 1 + 2*y**4 - f wrt y.
8*y**3
Let w = -2 + 7. What is the third derivative of -3*n**2 - 50*n**w + 50*n**5 - 4*n**6 wrt n?
-480*n**3
Suppose -8*a + 7*a + 6 = 0. Let g(n) be the third derivative of 0*n**4 + 0*n**5 + 0*n + 3*n**2 + 1/120*n**a - 1/6*n**3 + 0. Differentiate g(m) wrt m.
3*m**2
Let m = -3 - -5. What is the third derivative of -5*p**2 + 3*p**2 - p**6 + 3*p**6 - p**m wrt p?
240*p**3
Let r(m) = -16*m**4 - 23*m**2 + 2. Let l(f) = f**4 + 1. Let t(j) = -2*l(j) + r(j). Find the third derivative of t(i) wrt i.
-432*i
Let f(r) be the second derivative of 3*r**8/7 + 5*r**4/2 - 25*r. What is the third derivative of f(z) wrt z?
2880*z**3
What is the second derivative of 0 + 3*q**2 - 20*q + 12*q + 19*q**2 + 1 wrt q?
44
What is the derivative of 2*z**3 - 2*z**3 - 7 - 1 - z**3 wrt z?
-3*z**2
Let b(w) be the second derivative of 31*w**8/28 - w**7/21 + w**4/6 + w**3/3 + w - 18. Find the third derivative of b(k) wrt k.
7440*k**3 - 120*k**2
Find the second derivative of -p - 7*p + 10*p**4 + 4*p wrt p.
120*p**2
Let m(u) be the third derivative of 0*u**4 - 5/3*u**3 - 11*u**2 - 2/15*u**5 + 0*u + 0. What is the first derivative of m(l) wrt l?
-16*l
Let f(u) be the first derivative of u**6/2 + u**2/2 - 4. Find the second derivative of f(x) wrt x.
60*x**3
Let i(p) = -29*p**3 - 8*p**2 + 8*p + 23. Let s(c) = 19*c**3 + 5*c**2 - 5*c - 15. Let a(o) = -5*i(o) - 8*s(o). What is the derivative of a(q) wrt q?
-21*q**2
Let c(a) be the third derivative of a**5/24 - a**4/3 - a**3 + 4*a**2. Let d(f) be the first derivative of c(f). What is the derivative of d(t) wrt t?
5
Let f(g) = 2*g**4 - 3*g - 4. Let d be 48/(-3)*(-5)/4. Let o = -13 + d. Let n(i) = -4*i**4 + 7*i + 9. Let y(a) = o*f(a) + 3*n(a). Differentiate y(m) wrt m.
8*m**3
Let o(u) = u**3 + 3*u**2 - u + 2. Let h be o(-3). What is the third derivative of 5*g**3 + 0*g**3 - 5*g**3 - 4*g**2 - g**h wrt g?
-60*g**2
What is the second derivative of -33*n - 13*n + 3*n**3 + 4*n - n wrt n?
18*n
What is the first derivative of -31 - 34*z**4 - 12 + 16*z**4 - 25*z**4 wrt z?
-172*z**3
Suppose 4*f - 6 + 4 = 5*d, f + 12 = -5*d. Let g = 6 + f. Find the first derivative of -6*j**3 + j**3 + g*j**3 + 2 wrt j.
-3*j**2
Suppose 0 = 2*r - 4 - 0. Find the third derivative of -4*h**2 + 6*h**2 + 0*h**r + h**6 wrt h.
120*h**3
Find the second derivative of -4*u**4 - 2*u + 11*u + 15*u**4 wrt u.
132*u**2
Let u(w) = -13*w**4 - 6*w**3 - 6*w**2 + 6*w - 1. Let q(p) = p**4 + p**3 + p**2 - p + 1. Let x(h) = 6*q(h) + u(h). Differentiate x(s) with respect to s.
-28*s**3
Let w(f) be the first derivative of f**3/3 - 13*f - 6. What is the derivative of w(x) wrt x?
2*x
Let q = 8 - 0. Suppose 2*b - q = -0. Differentiate 1 - 1 + 1 - b*m**2 wrt m.
-8*m
Let i(g) = 2*g**6 - 21*g**2 + 11*g - 11. Let b(n) = -n**6 + 11*n**2 - 6*n + 6. Let o(z) = -11*b(z) - 6*i(z). What is the third derivative of o(h) wrt h?
-120*h**3
Let y = -3 + 9. Let r(t) = -t**3 + 3*t**2 - 2*t + 2. Let o be r(2). Find the third derivative of 2*p**o - 3*p**2 - p**y - 2*p**2 wrt p.
-120*p**3
Let y(t) be the first derivative of 10*t**2 - 28*t + 5. What is the first derivative of y(g) wrt g?
20
Let x(a) = -a**3 - a**2 - a - 1. Let t(h) = 2*h**4 - 8*h**3 - 20*h**2 - 12*h - 12. Let s(n) = t(n) - 8*x(n). What is the second derivative of s(p) wrt p?
24*p**2 - 24
Let n(s) be the third derivative of 1/24*s**4 + 0 + 0*s - 6*s**2 - 1/6*s**3. Find the first derivative of n(z) wrt z.
1
Let c be 3/5*(-4 - -9). What is the third derivative of -3*v**2 - 3*v**c - 19*v + 19*v wrt v?
-18
Let t(m) be the second derivative of 0*m**5 - 1/6*m**6 + 0*m**3 - 2/3*m**4 + 0*m**2 + 6*m + 0. What is the third derivative of t(l) wrt l?
-120*l
Suppose -9 = 5*m + 11. Let i = 6 + m. Find the first derivative of i - 2 - 1 - 1 + 3*j**2 wrt j.
6*j
Let l(c) = 45*c**2 - 33. Let k(f) = 11*f**2 - 8. Let x(n) = 9*k(n) - 2*l(n). What is the first derivative of x(s) wrt s?
18*s
Suppose -3*b + 10 = 7. Let w(x) be the first derivative of 0*x**4 + 0*x - 1/2*x**6 + 2/3*x**3 - b + 0*x**5 + 0*x**2. What is the third derivative of w(v) wrt v?
-180*v**2
What is the third derivative of 2*v**2 + 18*v**2 - 3*v**3 - 2*v**2 wrt v?
-18
Let m = 2 + 2. Let s = m + -2. What is the second derivative of 5*o - 3*o**2 - 4*o + 5*o**2 - s*o wrt o?
4
Let d(a) be the third derivative of a**2 - 7/6*a**3 + 3/20*a**5 + 0*a + 0 + 0*a**4. Find the first derivative of d(f) wrt f.
18*f
Let h(l) = l + 3 + l - 6. Let x be h(4). Find the second derivative of -y + 0*y**2 + 2*y**2 - x*y**2 wrt y.
-6
What is the second derivative of -14*v + 12*v**3 + 21*v + 9*v wrt v?
72*v
What is the second derivative of 7*i**5 + 16*i - 19*i + 4*i**5 wrt i?
220*i**3
Suppose 0 = q - 3*a - 8, 4*q + 3*a = q. What is the third derivative of c**2 + q*c**3 + 0*c**2 + 2*c**3 wrt c?
24
Let b = -2/119 + 244/357. Let u(h) be the first derivative of 2 + 0*h**4 + 2/5*h**5 - b*h**3 + 0*h + 0*h**2. What is the third derivative of u(o) wrt o?
48*o
Suppose 3*g - 2*o - 32 = 0, 0*g = -2*g + o + 23. Suppose 0 = -3*l + 4*p - g, -2*l - p + 11 = l. Find the second derivative of b**2 + 3*b**4 - l*b - b**2 wrt b.
36*b**2
Find the third derivative of -10*k**2 + 4*k**6 + 5*k**6 - 4*k**6 wrt k.
600*k**3
Let o(i) be the second derivative of -i**6/30 + 11*i**5/20 - i**4/6 - i**2 - 3*i. What is the third derivative of o(j) wrt j?
-24*j + 66
Let p(z) be the second derivative of -1/20*z**5 + 7/12*z**4 + 0*z**3 + 0*z**2 - 4*z + 0. Find the third derivative of p(b) wrt b.
-6
Let j(v) = 13*v**4 - 2*v**3 - 2. Let w(s) = 13*s**4 - 3*s**3 - s - 3. Let y(k) = -3*j(k) + 2*w(k). Find the second derivative of y(q) wrt q.
-156*q**2
Let b(m) = -m**3 - 5*m**2 + 2. Let s be b(-4). Let q be 7*(-1)/(s/4). What is the second derivative of 4*w - q*w**3 - 2*w + w**3 wrt w?
-6*w
Let x(a) be the first derivative of 3*a**3 + 3*a**2/2 - 4*a - 1. Let g(w) = -w**2 + 1. Let l(q) = 4*g(q) + x(q). Find the second derivative of l(h) wrt h.
10
Let v(q) = -48*q**3 - 3*q - 11. Let y(f) = 49*f**3 + 4*f + 12. Let u(j) = 4*v(j) + 3*y(j). Differentiate u(c) wrt c.
-135*c**2
Find the second de