y(n) wrt n?
14
Let c(m) = -1. Let a(n) = 3*n + 7 - 2 + 2. Let b(y) = a(y) + 6*c(y). What is the first derivative of b(z) wrt z?
3
Let d(l) = l**2 + l + 2. Let k be d(0). Differentiate k + 4*p**2 - 6 + p**2 with respect to p.
10*p
Suppose 4*n + n - 20 = 0. What is the third derivative of o**2 - n*o**2 - 2*o**5 + 0*o**5 wrt o?
-120*o**2
Let o(q) = 6*q**4 - 56*q**3 - 205*q**2. Let l(j) = j**4 - 11*j**3 - 41*j**2. Let n(w) = -11*l(w) + 2*o(w). Find the third derivative of n(r) wrt r.
24*r + 54
Let s(d) be the second derivative of -d**9/252 + d**5/30 + d**2 + 3*d. Let p(f) be the first derivative of s(f). What is the third derivative of p(i) wrt i?
-240*i**3
Let w(b) be the second derivative of b**10/10080 - b**7/2520 + b**4/3 + 3*b. Let s(l) be the third derivative of w(l). Find the third derivative of s(c) wrt c.
180*c**2
Differentiate -1 - 3 + 11 - f**3 - 7*f**3 wrt f.
-24*f**2
Let x(q) = -10*q + 11. Let p(d) = -10*d + 12. Let l(k) = 3*p(k) - 4*x(k). Find the first derivative of l(g) wrt g.
10
Let l = 9 - -1. What is the derivative of 14*x**4 + 3 - l*x**4 - 1 wrt x?
16*x**3
Let l(v) be the third derivative of -1/105*v**7 + 0*v**3 - 1/60*v**5 + 0*v - 2*v**2 + 0 + 0*v**6 + 0*v**4. Find the third derivative of l(h) wrt h.
-48*h
Let k(o) be the first derivative of 0*o**5 + 0*o + 0*o**4 - 3 + 0*o**2 + 1/6*o**6 - 4/3*o**3. Find the third derivative of k(b) wrt b.
60*b**2
Let h(t) be the second derivative of -t**6/180 - t**4/6 + t**3/3 + 2*t. Let c(n) be the second derivative of h(n). What is the first derivative of c(d) wrt d?
-4*d
Let l(z) = -18*z**5 + 9*z**2 - 19*z - 9. Let v(b) = 9*b**5 - 4*b**2 + 10*b + 4. Let j(d) = 4*l(d) + 9*v(d). What is the second derivative of j(s) wrt s?
180*s**3
Let b(w) = 10*w**2 - 2*w + 1. Let d be b(4). What is the third derivative of -d*o + 153*o + 5*o**2 - 6*o**5 wrt o?
-360*o**2
Differentiate -9*v**3 + 11 + 49*v**2 - 49*v**2 with respect to v.
-27*v**2
Suppose 5 = 2*z - 3. Find the second derivative of 5*q**2 + 4*q**2 + 0*q**2 - 3*q - z*q wrt q.
18
Let t be 2/(-10) - 8/10. Let i be t - (-13 - -1)/3. Find the second derivative of 3*z**i + z - z + z wrt z.
18*z
Suppose -4*d - 2 + 3 = -5*f, -3*d + 18 = 2*f. What is the third derivative of 12*g + 7*g**2 - 7*g + f*g**5 - 5*g wrt g?
180*g**2
Suppose 11 + 4 = 5*v. Suppose 4*s + 16 = 0, -v*x + 4*s = -2*x - 20. Find the second derivative of 3*p - p**x - p**4 - p wrt p.
-24*p**2
Let r(i) be the third derivative of 0*i**5 + 1/6*i**3 + 0*i**4 + 0*i - 1/40*i**6 + 2*i**2 + 0. Find the first derivative of r(y) wrt y.
-9*y**2
Let n(s) be the second derivative of s**7/42 + 5*s**3/6 - 4*s. What is the second derivative of n(w) wrt w?
20*w**3
Let w(g) = -g**2 - g + 9. Let v be w(0). What is the third derivative of h**2 + v*h**2 - 8*h**2 - 2*h**3 wrt h?
-12
Let j be (-1 - 5)/(3/(-2)). Suppose -20 = -9*w + 4*w. Find the third derivative of 3*t**2 - 3*t**j + 4*t**w - 3*t**2 - 3*t**2 wrt t.
24*t
Let w(o) be the first derivative of 23*o**2/2 + 11*o - 2. What is the derivative of w(i) wrt i?
23
Let h(f) be the third derivative of 0*f**3 + 1/112*f**8 + 0*f + 0 + 0*f**6 + 0*f**4 - 1/12*f**5 + 0*f**7 - 4*f**2. Find the third derivative of h(a) wrt a.
180*a**2
Let p(x) be the second derivative of x**4/12 - x**3/6 - 3*x**2/2 - 2*x. Let k(n) be the first derivative of p(n). Differentiate k(f) with respect to f.
2
Let w(c) be the third derivative of -4*c**5/15 + 25*c**3/6 + 23*c**2. Find the first derivative of w(j) wrt j.
-32*j
Suppose -v - 2 = -4. Let q(h) be the third derivative of -1/60*h**5 - v*h**2 + 0*h + 0 + 0*h**3 - 1/12*h**4. Find the second derivative of q(g) wrt g.
-2
Suppose -6*f + 16 = -2*f. Find the first derivative of -4*l - f + 7 + 0 + 4 wrt l.
-4
Let b(t) be the third derivative of -t**7/70 - 2*t**5/15 + 49*t**3/6 + t**2 - 10*t. What is the derivative of b(d) wrt d?
-12*d**3 - 16*d
Let g(w) be the first derivative of w**4/2 + 4*w**3/3 - 3. What is the third derivative of g(c) wrt c?
12
Let i(b) = -4*b**3 + 5*b**2 + 5*b - 19. Let x(c) = 6*c**3 - 8*c**2 - 8*c + 29. Let y(s) = -8*i(s) - 5*x(s). What is the derivative of y(u) wrt u?
6*u**2
Suppose 10 = -4*m - m. Let c be (18/(0 - 3))/m. What is the third derivative of -2*x**2 - 2*x**5 - x**c + x**3 wrt x?
-120*x**2
Let r(c) be the third derivative of -c**8/168 + c**5/60 + 7*c**2. What is the third derivative of r(y) wrt y?
-120*y**2
Suppose -2*s + 8 = -s + i, s - 14 = -4*i. Suppose -5*b + 4*j = s*j, b - 5*j = 27. Find the second derivative of -v**3 - 3*v**3 + 3*v + b*v - 3*v wrt v.
-24*v
Let x be 72/30 - (-2)/(-5). What is the second derivative of 2*u - 5*u**2 + x*u**2 + u wrt u?
-6
Let g(u) = -2*u - 6*u**5 - 6*u + u. Let q(l) = -5*l**5 - 6*l. Let t(o) = 4*g(o) - 6*q(o). Find the second derivative of t(f) wrt f.
120*f**3
Let z(g) be the third derivative of -7*g**5/60 - g**4/24 - 3*g**2. What is the second derivative of z(m) wrt m?
-14
Let c(x) be the second derivative of x**9/5040 - x**7/630 - x**4/12 + 5*x. Let a(v) be the third derivative of c(v). Find the third derivative of a(y) wrt y.
72*y
Let y be 11/2 + (-1)/2. Suppose 0 = -4*h + 3*l + l + 20, -2*h - y*l = 4. Differentiate 0 - 2*a**h + 2 - 4 wrt a.
-6*a**2
Let m(a) be the first derivative of -a**9/3024 - a**6/360 + 4*a**3/3 - 3. Let k(o) be the third derivative of m(o). Find the third derivative of k(p) wrt p.
-60*p**2
Let f(u) be the third derivative of 1/3*u**3 - 1/40*u**6 + 0*u + 0*u**4 + 0 + 0*u**5 + 2*u**2. Differentiate f(k) with respect to k.
-9*k**2
Let a(u) = 20*u + 20. Let d(i) = -i**2. Let s be d(-2). Let o(v) = 7*v + 7. Let m(h) = s*a(h) + 11*o(h). What is the first derivative of m(g) wrt g?
-3
Let i(u) = -8*u**4 - 4*u**3 + 4*u**2 - 1. Let m(o) = 24*o**4 + 11*o**3 - 11*o**2 + 4. Let c(v) = -11*i(v) - 4*m(v). Differentiate c(b) with respect to b.
-32*b**3
Let s(n) = 2*n**2 - 4*n + 3. Let y be s(2). Find the first derivative of u**3 - 2*u**3 - 2 + 0*u**y + 3 wrt u.
-3*u**2
Differentiate 27*q**2 - 12*q**2 + 3 - q**2 + 5 wrt q.
28*q
Let b(a) = 42*a**4 + 2*a**2 - 2*a - 25. Let s(r) = 167*r**4 + 9*r**2 - 9*r - 100. Let w(p) = -9*b(p) + 2*s(p). What is the first derivative of w(v) wrt v?
-176*v**3
Find the second derivative of -34*l**3 + 46*l - 74 + 74 wrt l.
-204*l
Find the second derivative of 5*p**2 - p**2 - 2*p + 7*p + p wrt p.
8
Let a(s) = s - s**2 + 0 + 8 - 2*s + 6*s. Let j be a(6). What is the third derivative of 4*d**6 + j*d**2 + 0*d**6 - d**2 wrt d?
480*d**3
Let h be ((-1)/(-2))/((-2)/(-24)). Let q(g) = 8*g**2 - 8*g. Let s(j) = 7*j**2 - 7*j. Let o(u) = h*s(u) - 5*q(u). What is the second derivative of o(t) wrt t?
4
Suppose 0 = 5*v - 10. What is the second derivative of 3 + o + v*o**3 - 3 wrt o?
12*o
Find the third derivative of 9*b**5 + 15*b**2 - 4*b**5 - 2*b**2 wrt b.
300*b**2
Suppose 10*d = 8*d + 26. What is the first derivative of d - 12 - 4*c**3 + 4 wrt c?
-12*c**2
Let h(m) be the second derivative of -3*m**8/560 + m**4/3 + 7*m**3/6 - 3*m. Let w(f) be the second derivative of h(f). What is the derivative of w(u) wrt u?
-36*u**3
Let l(r) be the first derivative of -r**5/30 + r**3/6 + r**2 + 1. Let y(z) be the second derivative of l(z). Find the first derivative of y(q) wrt q.
-4*q
Suppose -1 = -4*g + k, 0 = 4*k - 0 - 12. Let j(a) = -a**2 + 1. Let l be j(g). What is the first derivative of -3 + 0 + l*d - 3*d wrt d?
-3
Let v(k) be the third derivative of k**8/20160 - k**6/360 + k**5/20 + 2*k**2. Let g(i) be the third derivative of v(i). What is the derivative of g(h) wrt h?
2*h
Let b be ((-10)/(-4))/(6/24). What is the second derivative of -10*r**2 - 4*r + 5*r + b*r**2 + r**3 wrt r?
6*r
Suppose -4*c + 18 = -0*c + 2*u, 0 = -3*c + 4*u + 8. Find the first derivative of 5*h**4 + 2 - 4*h**c + 2*h**4 wrt h.
12*h**3
Let n(z) be the third derivative of 25*z**9/504 - 17*z**5/30 - 5*z**2. What is the third derivative of n(k) wrt k?
3000*k**3
Let h(j) be the third derivative of -1/15*j**5 + 0*j**4 + 0*j + 0 + 1/40*j**6 + j**2 + 0*j**3. Find the third derivative of h(d) wrt d.
18
Let r(t) = -t - 3. Let g be r(-3). Let p be (-6)/(-9)*(g - -3). Differentiate -2 - 2*s**3 - 5*s**2 + 5*s**p with respect to s.
-6*s**2
Let y be (2 - -1)*(-25)/(-15). Differentiate -2 - y*i + 4 + 2 + 0 with respect to i.
-5
Suppose 0 = 2*n + 5 + 1. Let y = n - -6. Find the third derivative of -z