b?
-22
Suppose 0*a - 2 = -a. What is the second derivative of n**2 + 7*n - 6*n**2 + 3*n**2 - 5*n**a wrt n?
-14
Suppose 5*f - 3*f - 4*x = 8, -2 = -2*f - 2*x. Find the third derivative of f + 2*s**3 - 2 + 2*s**2 wrt s.
12
Let w(u) be the third derivative of -u**10/1260 + u**6/60 + 2*u**3/3 - u**2. Let n(x) be the first derivative of w(x). Find the third derivative of n(m) wrt m.
-480*m**3
Let j(n) = n**2 + 5*n + 4. Let l be j(-5). Let y be (2 + 0 - 0)/1. What is the third derivative of -l*x**4 - x + x + y*x**2 + 2*x**2 wrt x?
-96*x
Suppose 0 = -4*w - w - 5. Let f(x) = -3*x**3 - 4*x**2 + 4. Let m(l) = -l**3 + 1. Let r(b) = w*f(b) + 4*m(b). Find the third derivative of r(t) wrt t.
-6
Let u(m) be the second derivative of 1/4*m**4 + 0*m**2 + 0 - 3*m + 1/42*m**7 + 0*m**6 + 0*m**3 + 0*m**5. Find the third derivative of u(l) wrt l.
60*l**2
Let d(v) be the first derivative of -1 + 0*v - 2/3*v**3 - 3/2*v**2. Find the second derivative of d(m) wrt m.
-4
Suppose t - 2 = 3. What is the third derivative of 2*s**2 - 2*s**t + s**2 + 0*s**2 wrt s?
-120*s**2
Let z = 1 + 2. Suppose -4*y - 3*j + 7 = 2, -5*j - z = y. Differentiate 0 + 4 - y*i**3 - 3 wrt i.
-6*i**2
Let f(s) = -s**2 + 7*s + 12. Let u be f(8). What is the second derivative of -4*y + y - 18*y**4 + 11*y**u wrt y?
-84*y**2
Suppose -4*l - 12 = 0, -4*z + 3 = l - 2*l. What is the second derivative of -j + 3*j**3 + z*j**2 + 2*j**2 - 2*j**2 wrt j?
18*j
Let k(h) be the second derivative of 0 - 3/20*h**5 + 0*h**2 + 1/6*h**4 + 0*h**3 + 2*h. Find the third derivative of k(z) wrt z.
-18
What is the derivative of -5*u**4 + 2 - 8 - 21 - 8 wrt u?
-20*u**3
Let p(x) be the third derivative of -3*x**8/112 - x**5/60 - 8*x**2. What is the third derivative of p(t) wrt t?
-540*t**2
Let d(u) = -21*u**3 - 5*u**2 + 15. Let g(b) = -10*b**3 - 2*b**2 + 7. Let x(z) = 2*d(z) - 5*g(z). What is the first derivative of x(h) wrt h?
24*h**2
Let n(c) = -19*c**4 + 1. Let z(b) be the third derivative of -13*b**7/210 + b**3/6 - 3*b**2. Let a(f) = -5*n(f) + 7*z(f). Differentiate a(w) wrt w.
16*w**3
Suppose 72 = -0*y + 3*y. Find the second derivative of -y*r + 21*r - r**5 + 4*r**5 wrt r.
60*r**3
Let a(g) = g**4 + g**2. Let r = 7 - 8. Let x(q) = -q**4 - 2*q**2 + 3*q. Let s(d) = r*x(d) - 2*a(d). Find the second derivative of s(l) wrt l.
-12*l**2
What is the second derivative of -10*j + 9*j + 11*j**2 + 11*j wrt j?
22
Let h = 17 - 11. Let t(w) be the third derivative of 0*w**4 + 0 + 0*w**3 + 0*w + 1/30*w**5 + 3*w**2 - 1/40*w**h. Find the third derivative of t(i) wrt i.
-18
Suppose -4*k + k - 2 = -x, 0 = -4*k - 5*x + 29. Let q(j) = j**2 + 5*j + 2. Let f be q(-5). What is the derivative of 2*v + 2*v**3 - f*v + k wrt v?
6*v**2
Let b(h) = 25*h**2 - 5*h + 7. Let f(v) = 12*v**2 - 2*v + 4. Let o(q) = -2*b(q) + 5*f(q). What is the derivative of o(z) wrt z?
20*z
What is the first derivative of 14 + 12 + 11 + 30*z**2 + 7 wrt z?
60*z
Let z(p) = 5*p**3 - 5*p**2 + p + 5. Let o(r) = -r**5 - 4*r**3 + 4*r**2 - 2*r - 4. Let t(m) = -5*o(m) - 4*z(m). Find the second derivative of t(d) wrt d.
100*d**3
Let v(a) be the third derivative of a**8/112 + a**4/4 + 2*a**2. Find the second derivative of v(r) wrt r.
60*r**3
Let n(o) be the first derivative of 3*o**2 + 0*o + 3 - 3/4*o**4 + 0*o**3. What is the second derivative of n(w) wrt w?
-18*w
Let b = 8 - 5. Differentiate b - 2 + 5*s**2 + 0 with respect to s.
10*s
Find the second derivative of -3 - 54*f**3 + 3 + 83*f**3 - 23*f wrt f.
174*f
Let x(q) = -q**3 + q**2 + q + 1. Let l be x(-1). Suppose -f + 12 = l*f. What is the first derivative of 2 + f*s**3 + 0*s**3 - 3*s**3 wrt s?
3*s**2
Let c(y) be the first derivative of 0*y**5 - 4/3*y**3 + 0*y**2 + 0*y + 0*y**4 + 1/6*y**6 - 6. Find the third derivative of c(s) wrt s.
60*s**2
Let i = -7 + 5. Let s = 3 + i. Find the second derivative of -2*p + s + p**2 - 1 wrt p.
2
Let t(k) be the second derivative of k**9/7560 - k**5/30 - k**4/3 + 3*k. Let b(c) be the third derivative of t(c). Differentiate b(m) wrt m.
8*m**3
Let l(s) = -3*s - 22. Let d(x) = x - 1. Let k(y) = 5*d(y) - l(y). Differentiate k(f) wrt f.
8
Suppose -10 + 4 = -2*a. Find the first derivative of 82*f**4 - 81*f**4 - 7 + a wrt f.
4*f**3
Let m be 6*(1 + (-1)/3). Differentiate -4 - 2 + 4 - 2*d**m wrt d.
-8*d**3
Let v(y) = 16*y**3 - 6*y**2 - 22*y - 6. Let m(c) = 47*c**3 - 17*c**2 - 65*c - 17. Let u(b) = -6*m(b) + 17*v(b). What is the second derivative of u(i) wrt i?
-60*i
Let j = -13 + 19. Suppose b - j = 2*n, 2*n - 6*n = 8. What is the third derivative of 0 - r**b + 2*r**4 + 0 wrt r?
48*r
Let f(a) be the second derivative of a**5/12 - 7*a**3/6 + 4*a**2 - a. Let s(c) be the first derivative of f(c). What is the first derivative of s(t) wrt t?
10*t
Let i = -5 + 11. Find the third derivative of -i*y**2 + 4*y**2 + y**5 - 3*y**2 - 7*y**5 wrt y.
-360*y**2
Suppose 4*w = 6 - 2, -w - 79 = -5*t. Let x = -9 + t. What is the second derivative of -4*v + 7*v**4 - x*v**4 + 3*v**5 wrt v?
60*v**3
Let c(x) be the second derivative of 0*x**4 + 0 - 3/20*x**5 - 2*x**2 - 6*x + 0*x**3. What is the derivative of c(i) wrt i?
-9*i**2
Find the second derivative of 5*a - 7*a + 35*a**2 + 6*a wrt a.
70
What is the third derivative of -10*d**6 + 8*d**2 + 9*d**6 - 2*d**6 - 3*d**6 wrt d?
-720*d**3
Let i(z) be the second derivative of 7*z**6/15 + 2*z**4/3 - 14*z. Find the third derivative of i(o) wrt o.
336*o
Let q(x) = 2*x**3 - 16. Let z(r) = -r**3. Let m(j) = -q(j) + 5*z(j). What is the derivative of m(i) wrt i?
-21*i**2
Let u = 1 - 0. Let s = u - -1. What is the second derivative of w**2 - s*w**2 + w - 3*w wrt w?
-2
Let n(z) = -2*z**4 - 5*z**2 - 8. Let x(v) = 4*v**4 + v**2 + 1 + 0*v**3 + 0*v**3 - 3*v**4. Let a(r) = n(r) + 5*x(r). What is the first derivative of a(i) wrt i?
12*i**3
Let d(s) be the first derivative of -17*s**5/5 + 6*s**2 - 40. Find the second derivative of d(r) wrt r.
-204*r**2
Suppose 2*a - 8 = -2*i, 0 = a - i - 4 - 0. Suppose -3*c - 12 = -3*q, -5*c = 2*q - c + a. What is the third derivative of -2 - 2*w**3 + q + 2*w**2 wrt w?
-12
Differentiate -8*n**2 + 3*n**2 + 54 - 48*n**4 + 5*n**2 with respect to n.
-192*n**3
What is the third derivative of -28*x**4 - 14*x**4 + 4012*x**2 - 4015*x**2 wrt x?
-1008*x
Let a(k) be the first derivative of -13*k**2/2 + 7*k + 6. Let n(y) = -25*y + 13. Let j(q) = -11*a(q) + 6*n(q). Differentiate j(s) wrt s.
-7
Let q(b) = b**3 + 6*b**2 + b + 6. Let j be q(-6). Let g = j - -2. Differentiate 0*z**g - 6*z**2 + 3*z**2 + 2 with respect to z.
-6*z
Let r(z) be the first derivative of 21*z**2/2 - 35*z + 7. Differentiate r(h) wrt h.
21
Let y(h) = 2*h**3 - 4*h**2 + 9. Let g(l) = -2*l**3 + 3*l**2 - 8. Let m(z) = 4*g(z) + 3*y(z). Differentiate m(f) with respect to f.
-6*f**2
Let f(q) be the first derivative of -2/3*q**3 + 0*q - 5 + 0*q**2 + 7/4*q**4. Find the third derivative of f(s) wrt s.
42
Let y(x) be the second derivative of x**7/2520 + x**6/180 - x**4/3 + 2*x. Let u(m) be the third derivative of y(m). What is the second derivative of u(v) wrt v?
2
Let z(d) = 3 + 6*d - 4 - 2 - 5*d**2. Let f(h) = h**2 - h. Let j(a) = 6*f(a) + z(a). What is the derivative of j(u) wrt u?
2*u
Find the first derivative of 7*f - 1 - 1 - 3 - 4*f wrt f.
3
Let l(c) be the second derivative of -c**7/210 - c**4/8 - c**2/2 - 2*c. Let p(m) be the first derivative of l(m). Find the second derivative of p(h) wrt h.
-12*h**2
Suppose -g - 3*r + 0*r = 11, 4*g - 4*r = 4. Let s be 1/(-2) - 7/g. Find the third derivative of -4*y**2 + 5*y**2 - 4*y**2 - 2*y**s wrt y.
-12
Let j = 9 + -1. Suppose -t = -3*t + j. What is the second derivative of 3*g**2 + t*g + 4*g - 2*g - 3*g wrt g?
6
Let v(l) = -l**4 - l**3 + l**2 - 1. Let r(f) = 24*f**4 + 6*f**3 - 6*f**2 + 2*f + 6. Let s(d) = -r(d) - 6*v(d). What is the second derivative of s(x) wrt x?
-216*x**2
Let v(p) = -14*p**4 + 11. Let w(c) = -5*c**4 + 4. Let k(i) = 6*v(i) - 17*w(i). Differentiate k(l) with respect to l.
4*l**3
Let h(m) be the second derivative of m**6/60 + m**4/8 + 2*m**2 - m. Let z(v) be the first derivative of h(v). Find the second derivative of z(a) wrt a.
12*a
Find the third derivative of -2*s**4 - 6*s**2 - s**2 + 3*s**4 wrt s.
24*s
Suppose -2*l = -l. What is the derivative of -3*m - 2 + l + 1 - 3 wrt m?
-3
Suppose 0 = 5*k + 4*f - 34, 0*k + 4*f + 8 = 2*k. Find the first derivative of -3*t**2