2 + 3*c**4 - c**4 + c**4 wrt c.
24*c
Let h(t) = t**3 - 2*t**2 + 2. Let l be h(2). What is the third derivative of 2*o**4 + 5*o**4 - 2*o**3 - o**l + 2*o**3 wrt o?
168*o
Let t(d) = -d + 1. Let o be t(-3). What is the third derivative of 2*u**o - 2*u**4 + 0*u**2 - 4*u**4 - u**2 wrt u?
-96*u
What is the third derivative of -5*o**2 - 38*o - 7*o**2 - 11*o**5 + 38*o wrt o?
-660*o**2
Let s(p) = -3*p**3 + 2*p. Let j(k) be the second derivative of k**5/10 - k**3/3 - k. Let g(u) = 4*j(u) + 3*s(u). What is the second derivative of g(d) wrt d?
-6*d
Suppose -4 = -3*y + 5. What is the second derivative of y*s**4 - s**4 - 3*s + 6*s wrt s?
24*s**2
Let v(d) be the first derivative of d**6/15 + d**3/6 - d - 3. Let b(c) be the first derivative of v(c). Find the second derivative of b(a) wrt a.
24*a**2
Let f(w) be the third derivative of w**6/12 + w**4/24 - 9*w**2. Find the second derivative of f(k) wrt k.
60*k
Suppose -4*c - 7 = -27. Find the second derivative of 5*v**2 - 2*v + v**4 + 2*v**4 - c*v**2 wrt v.
36*v**2
Let n(f) be the second derivative of -21*f**5/20 + 7*f**3/2 - 19*f. Find the second derivative of n(s) wrt s.
-126*s
Let l(f) = -22*f + 110. Let t(b) = -9*b + 44. Let v(y) = -5*l(y) + 12*t(y). Find the first derivative of v(x) wrt x.
2
Differentiate -50*y**3 + 86*y**3 - 57*y**3 + 31 with respect to y.
-63*y**2
Let k(o) be the first derivative of -2/3*o**3 - 3/2*o**2 + 0*o - 1. What is the second derivative of k(m) wrt m?
-4
Let h(i) = i**2 + 10*i. Let v(j) = -2*j + 6 - 6 + 3*j. Let l(n) = 2*h(n) - 14*v(n). Find the second derivative of l(d) wrt d.
4
Let d(s) be the first derivative of -35*s**6/6 - 5*s**2 + 37. What is the second derivative of d(p) wrt p?
-700*p**3
Let x(d) = 2*d**2 + 5*d + 2. Let s be x(-3). Find the second derivative of 98 + s*t**2 + 3*t - 98 wrt t.
10
Let p(r) = -11*r**2 - 38*r + 8. Let b(w) = 12*w**2 + 38*w - 10. Let m(x) = -4*b(x) - 5*p(x). Find the second derivative of m(c) wrt c.
14
Let x(m) be the second derivative of 1/15*m**6 + 0*m**3 + 0*m**2 + 1/12*m**4 + 6*m + 0 + 0*m**5. What is the third derivative of x(h) wrt h?
48*h
Suppose -6*o + 3*o + 9 = 0. What is the second derivative of -2*z**4 + 3*z**3 + 0*z**4 - o*z**3 + 2*z wrt z?
-24*z**2
Let t(w) be the second derivative of 8*w**3/3 - 17*w**2 + 40*w. Differentiate t(o) wrt o.
16
Suppose 2*g - 20 = 4*d, 5*g = 2*d - 0*d + 18. Suppose 0 = -3*t - g + 8. Find the third derivative of 4*q**3 - 5 + 5 + q**t - 4*q**2 wrt q.
24
Suppose -r + 0 = -4. Let x(d) be the first derivative of 0*d**2 - 1/4*d**r - 3 + 0*d - d**3. What is the third derivative of x(z) wrt z?
-6
What is the third derivative of -4*q**5 + 0*q**5 + 7*q**2 - 6*q**5 + 4*q**2 wrt q?
-600*q**2
Let u(y) be the third derivative of y**8/56 + y**4/6 + 8*y**2. Find the second derivative of u(t) wrt t.
120*t**3
Let o(u) = 2 - 3*u + 0*u + 2*u. Let n be o(2). What is the first derivative of n*p + 2*p - 1 + 0*p wrt p?
2
Let x(l) = -l**3 - 9*l**2 - l - 7. Let o be x(-9). What is the third derivative of -o*z**3 + z**3 - 2*z**2 + 3*z**2 wrt z?
-6
Let h(m) be the first derivative of -m**4 + 2*m**3/3 + 2. What is the third derivative of h(t) wrt t?
-24
Let p(z) = z**4 - z**3 - z**2 - z - 1. Let j(v) = 17*v**4 - 4*v**3 + v**2 - 4*v - 4. Let b(o) = j(o) - 4*p(o). Find the third derivative of b(u) wrt u.
312*u
Let r be -2*1*(3 + -4). What is the derivative of 9 + r*q + 0*q - 3*q - 6*q wrt q?
-7
Let h(i) be the third derivative of i**7/70 + i**5/30 + i**2. What is the third derivative of h(y) wrt y?
72*y
Let h(u) = -4*u**2 - 4*u. Let n = 7 - 9. Let m(b) = -b**2 - b. Let y(g) = n*m(g) + h(g). Find the second derivative of y(w) wrt w.
-4
What is the third derivative of -25*q**4 - 9*q**2 + 5184 - 5184 wrt q?
-600*q
What is the third derivative of -71*b**4 - 19*b**5 + 16*b**2 + 71*b**4 wrt b?
-1140*b**2
Let w = 37/8 + -551/120. Let i(a) be the second derivative of 0*a**2 + 0*a**4 + 0*a**5 + 1/2*a**3 + a + 0 - w*a**6. Find the second derivative of i(n) wrt n.
-12*n**2
Suppose 17*k = 2*k. Let o(j) be the second derivative of 0 + 0*j**4 + j - 1/30*j**6 + k*j**3 - 3/2*j**2 + 0*j**5. Find the first derivative of o(t) wrt t.
-4*t**3
Let y(p) be the first derivative of 18*p**5/5 + 25*p - 21. What is the derivative of y(a) wrt a?
72*a**3
Let a(x) be the first derivative of -x**9/1512 - x**5/24 + 5*x**3/3 + 2. Let d(t) be the third derivative of a(t). What is the second derivative of d(g) wrt g?
-40*g**3
Let p = -1 + 2. Suppose 4*z - 13 = -p. What is the third derivative of -5 - v**z + 5 - v**2 wrt v?
-6
Let g = -8 + 3. Let c = g - -5. Differentiate -o**2 - 3*o**2 - 1 + 3*o**2 + c with respect to o.
-2*o
Let u(l) be the first derivative of 7*l**6/6 - l**2 - 1. What is the second derivative of u(q) wrt q?
140*q**3
Let q(v) be the first derivative of v**8/240 - 3*v**5/40 - 5*v**3/3 + 1. Let u(m) be the third derivative of q(m). What is the second derivative of u(a) wrt a?
84*a**2
Let a = -21 + 28. What is the first derivative of 40 - a*w**2 - 43 + w**2 - 4*w**2 wrt w?
-20*w
Let h(n) be the third derivative of -n**5/4 + 11*n**3/6 - 18*n**2. What is the first derivative of h(q) wrt q?
-30*q
Let n(g) = g**3 - g**2 + g - 1. Let a(w) = w**3 - 3*w**2 + 3*w + 2. Let i(s) = a(s) - 3*n(s). What is the first derivative of i(p) wrt p?
-6*p**2
Differentiate 54*b**3 - 8 - 6 - 27*b**3 - 18*b**3 wrt b.
27*b**2
Find the third derivative of 4*j**3 - 6*j - j**2 + 2*j**2 - 27*j + 16*j wrt j.
24
Suppose m = -4*m + 5*i - 10, -17 = m - 4*i. Let v be (-2)/(-6)*2*m. What is the second derivative of -v*r**4 + 5*r**4 + 2*r - 4*r**4 wrt r?
-12*r**2
Let j(t) = -t - 2. Let s be j(0). Let a be (-2 - 0)/(s - 0). What is the third derivative of -a + 2*v**2 - 2*v**5 + 1 wrt v?
-120*v**2
Let q be (-1)/(-3) - (8 - 8). Let o(d) be the third derivative of -1/12*d**4 + 0 + 0*d - q*d**3 - 2*d**2. Find the first derivative of o(a) wrt a.
-2
What is the third derivative of -3*s**2 - 6*s**2 - 2*s**2 + 2*s**4 + 0*s**4 wrt s?
48*s
Let o(x) be the third derivative of -x**5/30 + x**3 + 4*x**2. Find the first derivative of o(v) wrt v.
-4*v
Let m(c) = c**2 + c + 1. Let v(t) = -8*t**2 - 8*t - 3. Let q(l) = -3*m(l) - v(l). Find the second derivative of q(x) wrt x.
10
Let f(x) be the third derivative of 3*x**5/10 - 7*x**4/24 - 30*x**2. What is the second derivative of f(a) wrt a?
36
Let n(l) = -7*l**2 + 2*l + 5. Let c(t) = 13*t**2 - 5*t - 9. Let h(u) = -2*c(u) - 5*n(u). Differentiate h(q) with respect to q.
18*q
Let y(z) = 24*z**3 + z**2. Let b be y(1). Suppose 0 = 5*q + b, 3*u - 7*q + 2*q - 34 = 0. What is the first derivative of -p - u*p + p + p - 3 wrt p?
-2
Let n(a) = 10*a**5 + 40*a**2 - 16*a. Let f(l) = -2*l**5 - 8*l**2 + 3*l. Let t(d) = 16*f(d) + 3*n(d). Find the third derivative of t(z) wrt z.
-120*z**2
Let o be (1/2)/((-1)/(-8)). Let j be o/2 + (-1)/(-1). Find the second derivative of 7 - 7 + 3*m**j + 3*m wrt m.
18*m
Let r(l) be the second derivative of 2*l**4/3 + 4*l**2 + 8*l. Find the first derivative of r(p) wrt p.
16*p
Find the third derivative of -9*o**2 - 2*o**3 + 39*o**2 + 2*o**3 + 4*o**4 wrt o.
96*o
Let z(j) = 7*j**3 - 6*j**2 + 21*j - 6. Let l(k) = 8*k**3 - 5*k**2 + 20*k - 5. Let t(q) = -6*l(q) + 5*z(q). What is the second derivative of t(p) wrt p?
-78*p
What is the derivative of 5 - 2*r**3 - 13*r + 13*r wrt r?
-6*r**2
Suppose 5*m = -4*a + 22, -2*a - 2*m - 2*m + 8 = 0. Let t = a + -4. Find the second derivative of 0*d**t - d**2 + d**2 - 4*d + d**4 wrt d.
12*d**2
Let a(p) be the third derivative of 1/30*p**5 + 0*p**3 + 0 + 0*p**6 + 0*p**4 + 2*p**2 + 0*p + 1/30*p**7. Find the third derivative of a(l) wrt l.
168*l
Let u be (4 - 7)*2/(-3). Find the third derivative of -47*s + 2*s**5 + u*s**2 + s**2 + 47*s wrt s.
120*s**2
Let s(b) = -3*b - 12. Let u(m) = -2*m - 12. Let w(z) = -4*s(z) + 3*u(z). Differentiate w(j) with respect to j.
6
Let x(z) be the second derivative of -3*z - 2/15*z**6 + 0*z**5 - 5/12*z**4 + 0 + 0*z**3 + 0*z**2. Find the third derivative of x(l) wrt l.
-96*l
Let z(j) = 4*j**5 + j**3 + j**2 - 6*j + 1. Let o(h) = h**5 + h**3 + h**2 - h + 1. Let d(r) = 2*o(r) - 2*z(r). Find the second derivative of d(p) wrt p.
-120*p**3
Let r(s) = -s**3 - s. Let y(g) = -4*g**4 + 6*g**3 + 6*g - 5. Let c(b) = -6*r(b) - y(b). Differentiate c(h) wrt h.
16*h**3
Let x(c) = 10*c**3 + 5*c**2 - 5*c - 