8 - w**q with respect to w.
12*w**3
Let y(c) = 11*c**3 - 7*c**2 + 22*c - 7. Let u(z) = -7*z**3 + 5*z**2 - 15*z + 5. Let o(t) = -7*u(t) - 5*y(t). What is the second derivative of o(p) wrt p?
-36*p
Let x(y) be the first derivative of y**4/4 + 5*y**3/3 - 7*y**2/2 - 4*y + 2. Let w be x(-6). Find the third derivative of -2*m**6 + 3*m**w + m**2 - 3*m**2 wrt m.
-240*m**3
Let d(g) = -14*g**2 - 12*g - 23. Let l(s) = -5*s**2 - 4*s - 8. Let y(v) = 6*d(v) - 17*l(v). Let j be y(5). Differentiate 2*z - 4 + 6 - j with respect to z.
2
What is the third derivative of -15*z**3 + 4*z**3 + 13*z**2 + 7*z**3 - 16*z**3 wrt z?
-120
Let a be -4*(1/2 + -1). Find the second derivative of -9*w + 6*w - 5*w**4 - a*w + 0*w**4 wrt w.
-60*w**2
Let o(d) = -d**3 + d + 5. Let z be o(0). What is the second derivative of 8*r**4 - r - 2*r**5 - 8*r**4 + 3*r**z wrt r?
20*r**3
Let f be ((-11)/33)/((-1)/12). What is the third derivative of g**2 - 24*g**f - 1 + 1 + 25*g**4 wrt g?
24*g
Let x(y) be the first derivative of y**7/6 + 4*y**3/3 + 9*y - 7. Let d(t) be the first derivative of x(t). Find the second derivative of d(g) wrt g.
140*g**3
Find the third derivative of 8*u**2 - 9*u**5 - 7*u**5 + 0*u**2 wrt u.
-960*u**2
Suppose -5 = -2*o - 1. What is the second derivative of -2*t**2 + 0*t**o + t + t wrt t?
-4
Let n(y) be the third derivative of 0*y + y**2 - 1/3*y**3 + 0*y**5 - 1/120*y**6 + 0*y**4 + 0. Differentiate n(i) wrt i.
-3*i**2
Let t(g) be the third derivative of -g**6/120 + g**4/8 - 4*g**2. Find the second derivative of t(h) wrt h.
-6*h
Let a(x) be the third derivative of x**7/21 + 2*x**3/3 - 13*x**2. Differentiate a(g) with respect to g.
40*g**3
Let b(w) be the third derivative of 0*w**5 - 1/12*w**4 + 0*w**3 + 1/105*w**7 + 0 + 0*w + 0*w**6 - 3*w**2. Find the second derivative of b(g) wrt g.
24*g**2
Let g(a) be the second derivative of -a**6/360 + a**4/8 - a**3/6 - a. Let y(w) be the second derivative of g(w). Find the first derivative of y(m) wrt m.
-2*m
Let s(z) be the second derivative of z**7/1260 + z**5/30 - z**4/6 - 3*z. Let i(t) be the third derivative of s(t). Differentiate i(u) wrt u.
4*u
Find the second derivative of 4*b**4 - 6*b**4 - 12*b + 10*b**4 wrt b.
96*b**2
Let q(c) be the third derivative of 0*c**6 - 1/6*c**3 + 0 + 0*c**5 + 0*c - 1/70*c**7 + 0*c**4 + 3*c**2. What is the derivative of q(u) wrt u?
-12*u**3
Let r(x) be the second derivative of -4*x**6/15 + 7*x**3/2 - 16*x. What is the second derivative of r(d) wrt d?
-96*d**2
Find the third derivative of 62*i**2 - 97*i**2 - 2*i**3 + 108*i**2 + 18*i**6 wrt i.
2160*i**3 - 12
Let l(x) = -6*x**3 - 3. Let r(i) = i**3. Suppose 4*b = 4 + 4. Let q(g) = b*l(g) + 18*r(g). Find the first derivative of q(y) wrt y.
18*y**2
What is the derivative of 14 - 20*o - 23*o + 42*o wrt o?
-1
Let i(c) be the second derivative of -23*c**7/42 + 5*c**3/6 + 3*c. What is the second derivative of i(k) wrt k?
-460*k**3
Let f(x) = x**2 - 6*x - 10. Let p be f(7). Let h = 5 + p. Find the second derivative of -3*i + 2*i - 4*i**3 + h*i**3 wrt i.
-12*i
Suppose 25 = 3*i - o, 0*i - i - 2*o = 1. Let p = -5 + i. What is the third derivative of -5*r**5 - r**5 + 4*r**5 - r**p wrt r?
-120*r**2
Let w(p) = 7*p**4 + 3*p**3 + 3*p**2 + 7*p - 3. Let a(r) = -r**3 - r**2 + r + 1. Let b(n) = -3*a(n) - w(n). What is the second derivative of b(y) wrt y?
-84*y**2
Let q(r) be the second derivative of 2*r**4 + 7*r**3/6 + r**2/2 + 5*r + 6. What is the second derivative of q(d) wrt d?
48
Let s be (1/2)/((-7)/(-70)). Let h(d) = -8*d**2 - 5. Let p(m) = 9*m**2 + 6. Let f(y) = s*h(y) + 4*p(y). Find the first derivative of f(g) wrt g.
-8*g
Let d(l) = 3*l**3 + 8*l**2 - 17*l. Let a(f) = 3*f**2 + f**3 - 4*f + 2 - 2*f - 2. Let i(t) = -17*a(t) + 6*d(t). What is the third derivative of i(v) wrt v?
6
Find the third derivative of -10*y**2 + 30*y**5 + 10*y**2 + 14*y**5 + 26*y**2 wrt y.
2640*y**2
Let x(o) be the third derivative of o**5/12 - o**4/3 + 6*o**2. Find the second derivative of x(r) wrt r.
10
What is the first derivative of -3 + 6 - 17*y**3 + 7 + 3 wrt y?
-51*y**2
Let q = 159 + -157. Let v(a) be the second derivative of 0 - 1/12*a**4 + 0*a**q + 0*a**3 + 2*a - 1/5*a**5. What is the third derivative of v(p) wrt p?
-24
What is the second derivative of -687*w**2 + 16*w + 687*w**2 + 5*w**3 wrt w?
30*w
Suppose 0 = y + 4*y - 20. Let c(d) be the first derivative of 1/4*d**y + 0*d**3 - 1 + 0*d - 1/2*d**2. Find the second derivative of c(x) wrt x.
6*x
Suppose 0 = -g - 3*g + 64. Let u be (-4)/g - (-2)/8. What is the second derivative of u*n**2 + 5 - 2*n**2 - 5 - 2*n wrt n?
-4
What is the third derivative of 12*t**3 - 6*t**6 - 24 - 17*t**6 - 12*t**3 - t**2 wrt t?
-2760*t**3
Let u(z) be the first derivative of z**6/60 + z**5/30 + 3*z**2/2 + 2. Let a(h) be the second derivative of u(h). Find the third derivative of a(w) wrt w.
12
Let f(i) = 1 + 7*i**2 + 3 - 8*i**2 + i. Let r be f(0). Find the first derivative of 1 - p**2 + p**2 - p**r wrt p.
-4*p**3
Let y(k) be the first derivative of 5*k**9/3024 + k**6/360 - k**3/3 - 1. Let g(s) be the third derivative of y(s). Find the third derivative of g(t) wrt t.
300*t**2
Differentiate 21*q**4 - 797 + 826 - 61*q**4 with respect to q.
-160*q**3
Suppose -5*g + 4*w + 10 = 0, 4*w + 2 + 4 = 3*g. Suppose 2 = -g*x + 6. Find the first derivative of -3 - v**3 + x + 2*v**3 wrt v.
3*v**2
Suppose 4*y = o - 2*o + 21, o - 25 = -5*y. Find the third derivative of -5*f**o + 134*f**4 + 6*f**2 - 134*f**4 wrt f.
-300*f**2
Find the first derivative of 48*y + 9 - 2 + 4 + 16 wrt y.
48
Let p(b) = -3*b. Let r(k) = k - k**2 + 5*k - k. Let o(q) = 5*p(q) + 2*r(q). What is the second derivative of o(d) wrt d?
-4
Let r(u) = -u**3 + u - 1. Let c(b) = -3*b**4 + 3*b**3 - 3*b + 4. Let p(l) = -c(l) - 3*r(l). Differentiate p(s) with respect to s.
12*s**3
What is the second derivative of 10*g**2 - 7 + 7 - 9*g wrt g?
20
Find the second derivative of -3 - 7*i + i**4 + i**4 + 3 wrt i.
24*i**2
What is the second derivative of -43*k**3 + 12*k**3 - 26*k**3 + 38*k + 6*k wrt k?
-342*k
Suppose -4*t + 4 = -3*t. Find the second derivative of t*r**2 + 2*r - 4*r**2 - 2*r**5 wrt r.
-40*r**3
Let d(c) be the third derivative of 3*c**6/40 + 7*c**5/60 + 7*c**2. What is the third derivative of d(q) wrt q?
54
Let i = 12 + -10. Find the first derivative of 11 - 13 - 5 - 2*y**i wrt y.
-4*y
Let b = 8 - 1. What is the first derivative of -b*p**4 + 3*p**4 + 4 + 0 wrt p?
-16*p**3
Let x(z) = 17*z**2 - 21*z - 6. Let f(y) = 33*y**2 - 42*y - 13. Let l(w) = 6*f(w) - 13*x(w). Find the second derivative of l(d) wrt d.
-46
Let c(w) = -3*w - 4 + w**2 + 0*w + 1. Let t be c(4). Differentiate f**2 - f**2 + t + f**2 wrt f.
2*f
What is the derivative of -10 - 164*j + 6*j**2 + 164*j wrt j?
12*j
Suppose -w = 4*t - 14, -3*t + 5*w - w = -1. What is the derivative of 322 - 323 + t*c - 2*c wrt c?
1
Let g(u) be the third derivative of -7*u**5/60 + u**4/24 - 71*u**3/6 + 51*u**2. What is the first derivative of g(m) wrt m?
-14*m + 1
Let v(q) = -7*q + 6. Let k(m) = -m**3 + 6*m - 6. Let x(z) = 7*k(z) + 6*v(z). Differentiate x(l) with respect to l.
-21*l**2
Let s(m) be the first derivative of 0*m**3 + 4/5*m**5 + 0*m + 0*m**4 - 4 - 3/2*m**2. Find the second derivative of s(z) wrt z.
48*z**2
Let q = -4 - -4. Differentiate q + i**3 - 1 + 2*i**3 with respect to i.
9*i**2
What is the derivative of 17*x**2 - 17*x**2 - 3*x**3 + 13 - 7*x**3 wrt x?
-30*x**2
Differentiate r - 3 + 5*r + 10 with respect to r.
6
Suppose -4*k + 2*x = -10, -2*k - 3*k + 15 = -5*x. Suppose -l = -7*h + k*h + 274, -2*l = 8. Differentiate -h*o + 3 + 54*o + 3*o**3 with respect to o.
9*o**2
Suppose 2*w - 2*a - 26 = 0, 0 = 5*w - 4*a - 43 - 23. Find the second derivative of -5 + 11*n + 2*n**4 - w*n + 5 wrt n.
24*n**2
Let d(i) be the third derivative of -4/105*i**7 - 4*i**2 + 0*i**5 + 0*i + 0 + 0*i**6 - 1/12*i**4 + 0*i**3. What is the second derivative of d(c) wrt c?
-96*c**2
Find the third derivative of 19*t**5 + 2*t**2 - 7*t**2 - 9*t**5 - 5*t**5 wrt t.
300*t**2
Let o(k) be the second derivative of 0*k**2 + 0 + 0*k**4 - 1/6*k**7 - 4*k - 1/2*k**3 + 0*k**5 + 0*k**6. Find the second derivative of o(v) wrt v.
-140*v**3
Let y(u) be the third derivative of u**9/21 - u**5/60 - 22*u**2. Find the third derivative of y(b) wrt b.
2880*b**3
Suppose v = -z - 1, z + z + 3*v + 5 = 0. What is