- 16*i**3 + 10*i**3 wrt i.
-36
What is the third derivative of 1 + r**4 + r**2 + 10*r**2 - 1 wrt r?
24*r
Let x be (1 - 1) + 44/4. Let d = x + -6. Find the third derivative of -2*f**2 - f**3 - d + 5 wrt f.
-6
Suppose -2*k + 36 = k. Let l = -10 + k. Find the first derivative of r**2 + r**2 - 4 + l*r**2 wrt r.
8*r
Find the third derivative of 47*j**4 + 18*j**2 - 4*j**2 + 2*j**2 wrt j.
1128*j
Let a = 10 + 3. Let x = -8 + a. What is the third derivative of n**5 + n**x - 3*n**2 + 5*n**2 wrt n?
120*n**2
Let n(s) be the second derivative of s**8/3360 - s**5/120 + s**4/6 - 3*s. Let j(y) be the third derivative of n(y). Find the first derivative of j(i) wrt i.
6*i**2
What is the derivative of -23*x + 6 - 22*x + 37*x wrt x?
-8
Find the third derivative of -5*z**2 - 57*z**5 + 25*z**5 + 27*z**5 wrt z.
-300*z**2
What is the derivative of 82*b - 82*b + 19*b**2 + 3 wrt b?
38*b
What is the derivative of s**2 + 0 + 3*s**2 - 3*s**2 + 2 wrt s?
2*s
Suppose -3*v - v + 16 = 0. What is the first derivative of -3*p**v - 53 + 29 + 25 wrt p?
-12*p**3
Let v = -11 - -6. Let g(y) = 20*y**4 + 14*y + 6. Let i(a) = -2 - 8*a + 2*a - 7*a**4 + a. Let z(d) = v*g(d) - 14*i(d). Differentiate z(t) with respect to t.
-8*t**3
Let f(c) be the first derivative of -8*c**7/7 + 8*c**3/3 - 1. Find the third derivative of f(r) wrt r.
-960*r**3
Let r(s) be the first derivative of s**6/180 - s**5/60 + s**3/3 + 3. Let g(v) be the third derivative of r(v). Find the second derivative of g(k) wrt k.
4
What is the second derivative of -1418*r**5 - 5 + 17*r + 7 + 1384*r**5 - r**4 wrt r?
-680*r**3 - 12*r**2
Suppose 1 + 9 = 5*t. Let w(c) = -4*c - 2*c - c**t - c**2. Let s(z) = -3*z**2 - 7*z. Let f(r) = -4*s(r) + 5*w(r). Find the second derivative of f(h) wrt h.
4
Let z(x) = -20*x**2 + 8*x - 16. Let m(y) = y**2 - y + 1. Let w(r) = 16*m(r) + z(r). Find the second derivative of w(o) wrt o.
-8
Let p(b) = 6*b**5 + 4*b**4 - 2*b. Let q(a) = -a**4 + a. Let d(k) = -p(k) - 4*q(k). What is the second derivative of d(i) wrt i?
-120*i**3
Let p(g) be the first derivative of g**6/6 - 3*g**2/2 - 3*g + 5. Let q(d) be the first derivative of p(d). Differentiate q(o) wrt o.
20*o**3
Suppose -2*k - 2 = -3*k. What is the third derivative of 4*i**k - 5*i**4 - 6*i**4 + 9*i**4 wrt i?
-48*i
Let l(c) = -c**2 - 7*c + 4. Let n be l(-7). What is the third derivative of -3*y**2 + 3*y**n - 2 + 2 wrt y?
72*y
Let x(h) = 43*h**4 - 2*h**3 - 19*h**2 - 2*h. Let b(w) = w**3 + w. Let f(p) = -2*b(p) - x(p). Find the third derivative of f(o) wrt o.
-1032*o
Let g(y) be the third derivative of 5*y**8/336 - 2*y**7/105 - 41*y**5/60 - 35*y**2. Find the third derivative of g(s) wrt s.
300*s**2 - 96*s
What is the second derivative of -3*v + 3*v + 32*v**3 + 14*v - 10*v**3 wrt v?
132*v
Let u be (-1 + 1)/(-1) - -17. Suppose -4*x + 2*k + 11 = 3, -k + u = 5*x. Find the third derivative of 2*f**2 + f**2 - 4*f**2 + f**x wrt f.
6
Let o(y) be the first derivative of -6*y**7/7 - y**3/3 + 1. What is the third derivative of o(g) wrt g?
-720*g**3
What is the third derivative of 94*u**3 - 168*u**3 + 22*u**2 + 85*u**3 + 11*u**2 + 1 wrt u?
66
Let f(z) be the third derivative of z**8/20160 + z**7/2520 + z**5/60 - z**2. Let q(m) be the third derivative of f(m). Find the second derivative of q(u) wrt u.
2
Let t(s) = -4*s - 2. Let o(j) = -j**2 - 5*j - 3. Let i = 16 - 11. Let m(w) = i*t(w) - 4*o(w). Find the first derivative of m(y) wrt y.
8*y
Let x = 2 - -2. Suppose -x = 2*c + 4*w, -2*w = -3*c + w + 21. Differentiate -2*y + 2*y + 2*y**c - 1 with respect to y.
8*y**3
Let j(i) be the third derivative of 2/3*i**3 + 2*i**2 + 0 - 1/8*i**4 + 0*i. Find the first derivative of j(y) wrt y.
-3
Let c = 0 - -3. What is the third derivative of -l**c - 2*l**2 - l**2 - l**3 wrt l?
-12
Let g(m) be the second derivative of 1/12*m**4 + 2*m + 0*m**3 + m**2 + 0. Find the first derivative of g(s) wrt s.
2*s
Let t(v) be the first derivative of -19*v**4/4 + 23*v**3/3 - 9. Find the third derivative of t(l) wrt l.
-114
Suppose -2*k + 3 = -3*b, k + b + 4 = -2. Let s be (-4 + 6)*k/(-2). What is the second derivative of -h**3 - h**s - 3*h - h**3 wrt h?
-18*h
Suppose 3*u + 19 = 8*u - 3*p, -4*u - 3*p - 1 = 0. Let z(s) = -s + 10. Let d be z(7). Find the first derivative of 3*h - d*h - 4*h - 2 + u*h wrt h.
-2
Find the second derivative of -5*m**4 - 19*m + 5*m - 8*m**4 wrt m.
-156*m**2
Let s(o) be the third derivative of o**8/42 + o**5/15 + 30*o**2. Find the third derivative of s(g) wrt g.
480*g**2
Let k(g) = g**3 + 5*g**2 - 7*g - 5. Let a be k(-6). What is the first derivative of 2 - 1 + a - s wrt s?
-1
Let k(g) be the third derivative of g**6/720 - g**5/60 - g**4/12 - g**2. Let d(y) be the second derivative of k(y). What is the derivative of d(v) wrt v?
1
Let p(r) = -r + 18. Let d be p(13). What is the second derivative of -20*m - d*m**4 + 21*m + m**4 wrt m?
-48*m**2
Let s(g) = 7*g - 2. Let z(v) = -18*v + 1. Let m(t) = 5*t. Let p(l) = 15*m(l) + 5*z(l). Let x(o) = -4*p(o) - 9*s(o). Differentiate x(h) wrt h.
-3
Let i = 12 - 10. Let c(d) be the first derivative of 2 - d**i + 1/4*d**4 + 0*d**3 + 0*d. What is the second derivative of c(z) wrt z?
6*z
Let z = 13 + -8. Suppose -z = -5*i + 5. Find the third derivative of -3*j + 2*j**5 + 3*j + 2*j**i wrt j.
120*j**2
Let o(h) = -2*h - 10 + 12*h + 10*h - 2*h. Let t(w) = -6*w + 3. Let a(i) = 4*o(i) + 11*t(i). What is the derivative of a(m) wrt m?
6
Let r be (-2 - (-3 - -1)) + 0. Suppose -3*k + 2 + 4 = r. Find the second derivative of -5*y + k*y - y**5 + 2*y wrt y.
-20*y**3
Suppose 4*d = -2*w + 3*d - 1, 4*d = -4*w. Let l = 3 + w. What is the third derivative of x**l - 2*x**6 - 3 + 3 wrt x?
-240*x**3
Suppose 4*z - a - 19 = 0, z = 5*z - 3*a - 25. Find the second derivative of 3*t**3 + 0*t - t + z*t wrt t.
18*t
Let j be (-25)/10*8/(-10). Suppose -2*h + 14 = 5*v, -3*v - 2*v + 12 = h. Find the third derivative of -j*m + m**2 - 3*m**5 + h*m wrt m.
-180*m**2
Let g(j) = 9*j**2 - j. Let a be g(1). Suppose -3*x + a*x - 10 = 0. What is the derivative of 0*y**3 - 3 - y**3 + x wrt y?
-3*y**2
Let q(w) = -4*w + 5*w - w**2 + 6*w - 4 - w. Let g be q(4). Find the third derivative of -2*x**2 - 27*x**3 + 27*x**3 - 2*x**g wrt x.
-48*x
Let y(b) be the first derivative of -3*b**2/2 + 15*b + 1. What is the derivative of y(a) wrt a?
-3
Let n(f) be the first derivative of 2 - 4 + 3 - f - f**3 + 2. What is the derivative of n(k) wrt k?
-6*k
Let a(k) be the first derivative of 0*k + 0*k**5 - 1/3*k**3 + 0*k**2 + 2/3*k**6 - 2 + 0*k**4. What is the third derivative of a(d) wrt d?
240*d**2
Let s(f) be the second derivative of 8*f**6/15 - f**5/20 + 53*f**2/2 + f - 3. What is the derivative of s(c) wrt c?
64*c**3 - 3*c**2
Let d(j) be the second derivative of -j + 0*j**3 + 0*j**4 + 1/10*j**5 + 0 + 1/2*j**2. Differentiate d(f) with respect to f.
6*f**2
Let c = -10 - -16. Find the third derivative of -v**6 - 3*v**6 + 3*v**c - v**2 + 3*v**6 wrt v.
240*v**3
Let k(u) be the third derivative of -2*u**7/15 - 5*u**4/6 - 23*u**2. Find the second derivative of k(i) wrt i.
-336*i**2
Let a(r) = -8*r**3 + r**2 - 5. Let u(n) = 12*n**3 - 2*n**2 + 7. Suppose 3*w - 4*w = 7. Let m(t) = w*a(t) - 5*u(t). Find the third derivative of m(x) wrt x.
-24
Let d(i) = -i**2 + 8*i + 11. Let n be d(9). What is the second derivative of k**n - k + 2*k**2 - 2*k**2 wrt k?
2
Let k(g) be the second derivative of 0*g**4 + g**2 + 0 + 0*g**3 + 0*g**5 + 1/10*g**6 - g. What is the first derivative of k(u) wrt u?
12*u**3
Let w = 11 - 8. What is the third derivative of 3*a**2 + 0*a**3 + a**w + a**3 - a**3 wrt a?
6
Suppose 3*m = 2*x - 3, x - 3*x + 2*m = -4. Let v(i) be the second derivative of i + 0 + 2*i**2 + 1/2*i**x. What is the derivative of v(b) wrt b?
3
Let t(r) be the first derivative of 7*r**4 - 7*r**2/2 - 28. Find the second derivative of t(l) wrt l.
168*l
Let y(t) be the first derivative of t**5/30 - t**4/24 + 4*t**2 - 4. Let i(w) be the second derivative of y(w). Find the second derivative of i(h) wrt h.
4
Let z = 11 - 6. What is the derivative of 1 + z*c + 2 - 5*c - 3*c wrt c?
-3
Let a(i) be the third derivative of -i**5/10 + i**3/3 - 2*i**2. Differentiate a(s) wrt s.
-12*s
Suppose -3*t + 3 = -3*g, 5*g - 7 = t - 0. What is the third derivative of 2*o**2 + 4*o**g - 3*o**2 - 2*o**3 + o**3 wrt o?
-6
Let s(f) = -f**2 - 6*f. Let i