- 2*c(i). Differentiate f(q) with respect to q.
-12*q
Suppose -k + 16 = -4*k + 2*y, -y + 5 = 0. Let w = -2 + 6. Let q(x) = 1. Let r(f) = -2*f. Let l(u) = k*r(u) + w*q(u). Differentiate l(h) with respect to h.
4
Let w(x) be the first derivative of x**6/72 - 3*x**4/8 + 7*x**3/3 + 6. Let y(j) be the third derivative of w(j). What is the derivative of y(r) wrt r?
10*r
Let k(j) = -3*j + 29. Let y(q) = q - 10. Let m(u) = -2*k(u) - 7*y(u). What is the first derivative of m(v) wrt v?
-1
Let k be ((-1)/2)/(14/(-84)). Let b(g) = 3*g**3 - 3*g**2 - 3*g - 6. Let w(c) = -c**2 - c - 1. Let z(f) = k*w(f) - b(f). Differentiate z(h) wrt h.
-9*h**2
Let r(w) = w**3 - 3*w**2 - 5*w + 4. Let g be r(4). Find the first derivative of g*b**2 + 2 - 3 - 2*b**2 wrt b.
-4*b
What is the second derivative of -f + 54*f**4 - 4*f - 45*f**4 wrt f?
108*f**2
Let a(g) be the second derivative of 5*g**3/2 + 5*g**2 - 12*g. Find the first derivative of a(w) wrt w.
15
Differentiate 6*c**4 + 7*c**4 - 33 + 42 with respect to c.
52*c**3
Let l(n) be the second derivative of -7*n**5/20 + 3*n**2 + 4*n. Find the first derivative of l(m) wrt m.
-21*m**2
Find the second derivative of -4*w**4 - 5*w**4 + 34*w - 32*w wrt w.
-108*w**2
Let w(c) = -5*c**3 - 9*c**2 - 2*c. Let s(p) = -20*p**3 - 36*p**2 - 9*p. Let y(o) = 2*s(o) - 9*w(o). Find the third derivative of y(g) wrt g.
30
Let l(o) be the third derivative of 4*o**7/105 + o**6/120 + 23*o**4/24 + 17*o**2. What is the second derivative of l(n) wrt n?
96*n**2 + 6*n
Let u(c) be the third derivative of -c**4/6 - c**3/2 + 4*c**2. Differentiate u(d) with respect to d.
-4
Let g(y) = -11*y - 11. Let q(m) = 6 + 1 + 6*m - 4 + 3. Suppose -3*p + 7*p = 20. Let s(u) = p*q(u) + 3*g(u). Differentiate s(i) wrt i.
-3
Let k(o) be the second derivative of o**5/20 + o**4/6 + 2*o**2 + o. Let f(c) be the first derivative of k(c). Find the second derivative of f(v) wrt v.
6
Let s = 0 - -2. Find the third derivative of -42*x**3 + 42*x**3 + x**4 - x**s wrt x.
24*x
Suppose -5 = d - 6*d. Let m(x) = x**4 - x**2 - x + 1. Let y(w) = w**4 - 2*w**2 + w + 2. Let j(c) = d*y(c) - 2*m(c). What is the second derivative of j(u) wrt u?
-12*u**2
Let y(u) be the third derivative of 11*u**5/30 + 29*u**3/6 + 30*u**2. Differentiate y(p) wrt p.
44*p
Let r(f) be the second derivative of -f**7/70 - 2*f**3/3 - 5*f**2/2 - 4*f. Let t(k) be the first derivative of r(k). Find the first derivative of t(y) wrt y.
-12*y**3
Find the third derivative of -2*y**2 + 443*y**5 - 455*y**5 - 1 + 1 wrt y.
-720*y**2
Let c(l) be the first derivative of 1/2*l**2 + 3 - 1/6*l**3 - 1/6*l**4 + 0*l. Let f(w) be the second derivative of c(w). What is the derivative of f(u) wrt u?
-4
Let t be (-1 + 2)/((-13)/(-52)). Let y(n) be the first derivative of 0*n**2 - 4 + 2*n + 0*n**3 + 1/4*n**t. Find the first derivative of y(s) wrt s.
3*s**2
Let p(h) = -2*h**3 - 4*h**2 + 3*h - 2. Let r be p(-4). Let k = 11 - -39. Differentiate m**2 - 4 + k*m - r*m wrt m.
2*m
Let w(h) be the third derivative of 0*h**3 - 1/105*h**7 + 0*h - 1/30*h**5 + 0*h**4 + 3*h**2 + 0*h**6 + 0. What is the third derivative of w(q) wrt q?
-48*q
Let s(m) be the first derivative of -4*m**6/3 - 11*m**3/3 + 11. Find the third derivative of s(p) wrt p.
-480*p**2
Suppose -2*r + 15 = r. What is the first derivative of 5*p**3 - 5 - 5 + r wrt p?
15*p**2
Let o = -23 - -26. Let t(w) be the second derivative of 0*w**2 + 1/20*w**5 + 0 + 2*w + 0*w**o - 1/12*w**4. What is the third derivative of t(f) wrt f?
6
Let y(z) be the first derivative of 7*z**5/5 - 2*z - 8. What is the derivative of y(j) wrt j?
28*j**3
What is the third derivative of l**4 - 7*l**2 - 3*l**2 + 2*l**2 - 2*l**2 wrt l?
24*l
Let b = 4 + -2. Suppose d - b = -0*d. Differentiate y**d + 1 - y**2 - y**2 wrt y.
-2*y
Let d(o) be the second derivative of -o**7/840 + o**5/60 - o**4/12 - 5*o. Let t(k) be the third derivative of d(k). Differentiate t(y) wrt y.
-6*y
What is the derivative of m - 3*m**2 + 3 - 2 - m wrt m?
-6*m
Suppose 2*q + 2 = q. Let a(v) = -5*v + 2. Let u(c) = c - 1. Let o(w) = q*a(w) - 6*u(w). Find the first derivative of o(t) wrt t.
4
Let x = 2 - 17. Let c be (-3)/6 + x/(-6). Find the second derivative of 0*u**c + 2*u**2 - 4*u**2 + 2*u wrt u.
-4
Suppose -j + d = -12 - 4, 5*j - 3*d - 72 = 0. Let x be 9/4 - 3/j. What is the second derivative of m + x*m - 4*m**3 + m**3 + 6*m**3 wrt m?
18*m
Suppose 0*v + v = 0. Let y(l) be the second derivative of -l + v + 0*l**3 + 1/2*l**2 + 1/12*l**4. Find the first derivative of y(n) wrt n.
2*n
Let d = 22 - 7. Let t be 5*(12/d + 0). What is the third derivative of 2*w**2 - 4*w**3 + t*w**3 - w**6 wrt w?
-120*w**3
Let c(i) be the first derivative of -i**3/3 + 2*i - 4. Differentiate c(z) with respect to z.
-2*z
Suppose -6*q + 5*q + 2 = 0. Find the second derivative of -9*c**2 - 7*c + 4*c**2 - c**2 + 3*c**q wrt c.
-6
Let z = -4 - -14. Find the third derivative of 8*f**6 - 2*f**2 - z*f**6 + 7*f**2 - 3*f**2 wrt f.
-240*f**3
Let t be (2 - (0 + 1)) + 1. Suppose 2*l - 16 = -4*j, l - t*l + 16 = 4*j. What is the first derivative of 1 + 0*h - h + l wrt h?
-1
Suppose 0 = -4*d + 2*d. Find the third derivative of d*k**3 + 2*k**2 - 6*k**2 + k**3 wrt k.
6
Let m(q) = -6*q**3 + 3*q + 11. Let r(f) = -f**3 - f. Let y(d) = m(d) + 3*r(d). What is the first derivative of y(g) wrt g?
-27*g**2
Let v(q) = -q**3 - q**2 - q + 1. Let b(c) = 8*c**4 + 2*c**3 + 5*c**2 + 2*c - 2. Let h(p) = b(p) + 2*v(p). Find the third derivative of h(m) wrt m.
192*m
Let i(g) be the third derivative of g**4/12 - 2*g**3/3 - g**2. Let z be i(3). Find the third derivative of j**6 - z*j**2 + j**6 - 3*j**6 wrt j.
-120*j**3
Let r(a) be the second derivative of -a**5/60 + 5*a**3/6 + 5*a**2/2 + a. Let y(i) be the first derivative of r(i). Differentiate y(j) with respect to j.
-2*j
Find the second derivative of -2*s**2 + s**2 - s**2 + 3*s - 6*s**2 wrt s.
-16
Let v(p) be the third derivative of -3*p**2 + 1/8*p**4 + 0*p**5 + 0*p**3 - 1/30*p**6 + 0*p + 0. Find the second derivative of v(i) wrt i.
-24*i
Let d(s) be the second derivative of s**9/504 - s**5/60 + 2*s**2 + s. Let v(y) be the first derivative of d(y). Find the third derivative of v(z) wrt z.
120*z**3
Let b(f) be the third derivative of 1/60*f**6 + 0*f**4 + 0 + 0*f**5 + 0*f - 2*f**2 - 1/2*f**3. What is the derivative of b(p) wrt p?
6*p**2
Suppose -5 = 2*y - 15. What is the second derivative of -2*r**2 + 7*r + y*r - 7*r wrt r?
-4
Let c(j) = j + 16. Let p be c(-10). What is the third derivative of -1 + 1 + 16*u**2 - p*u**2 - u**3 wrt u?
-6
Suppose 0 = n + 1. Let d(r) = r**3 + 4*r - 4. Let s(v) = v. Let i(q) = n*d(q) + 4*s(q). What is the first derivative of i(f) wrt f?
-3*f**2
Find the second derivative of 7*b**3 - 8*b**3 + 28*b**3 - 20*b wrt b.
162*b
Suppose -5*d + 9 = 2*b - 1, -4*d + 5 = b. Suppose -f - 1 = -5. Differentiate 5 - f + d - x**3 wrt x.
-3*x**2
Let c(u) be the second derivative of 4*u + 0*u**3 + 2*u**2 - 1/4*u**4 + 0. Find the first derivative of c(x) wrt x.
-6*x
What is the third derivative of -z**3 + 4*z**3 + z**3 - 12*z**2 - 3*z**3 wrt z?
6
Let p(w) = 4*w**3 + 13*w**2 + 3*w - 3. Let y(t) = -3*t**3 - 14*t**2 - 4*t + 4. Let u(k) = 4*p(k) + 3*y(k). What is the third derivative of u(m) wrt m?
42
Suppose -y - 3 = -2*y. What is the first derivative of 1 + 6*q**4 + q**4 - y*q**4 wrt q?
16*q**3
Let a(f) be the first derivative of -f**4/24 + f**3/3 + 3*f**2/2 + 1. Let z(i) be the second derivative of a(i). What is the derivative of z(k) wrt k?
-1
Let a(l) = -5*l + 4*l - 7 + 2*l + 0*l. Let i(y) = -y + 10. Let x = -4 + -3. Let f(k) = x*a(k) - 5*i(k). What is the first derivative of f(u) wrt u?
-2
Let i(r) = 4*r**3 - r + 8. Let b(j) = -j**3 + j**2 - j. Let v(u) = b(u) - i(u). What is the first derivative of v(n) wrt n?
-15*n**2 + 2*n
Differentiate -3*c + c**2 + 1 + 3*c + 2*c**2 wrt c.
6*c
Let j = -1 + -4. Let c be (-1 + 0)*(j + 2). Differentiate 3*d**2 - 5*d**2 - c + d**2 with respect to d.
-2*d
What is the third derivative of -5*u**2 - u**5 + u**5 + u**5 wrt u?
60*u**2
Let b(t) be the first derivative of -13*t**5/5 - 3*t**2 - 33. Find the second derivative of b(v) wrt v.
-156*v**2
Find the second derivative of -20*c**5 + 15*c**5 + 4*c - 2*c wrt c.
-100*c**3
Let o(q) be the third derivative of q**5/60 - 5*q**4/24 + 6*q**2. What is the second derivative of o(a) w