 f**2 + 37 - f**t with respect to f.
-4*f
Differentiate 4*z**4 + 2*z**4 - 9 + 3*z + 57 - 3*z**4 wrt z.
12*z**3 + 3
Suppose -3*o - o = 0. Let p(l) be the first derivative of 0*l + l**2 - 1/4*l**4 + o*l**3 + 1. Find the second derivative of p(k) wrt k.
-6*k
Suppose -b = -2*l, b = 3*b - 2*l - 4. Let k = -1 + b. Find the first derivative of -5*i**2 + 0 + k*i**2 - 3 wrt i.
-4*i
Let j(l) = -3*l**3 + 7*l**2 - 5*l - 5. Let o(c) = -c**3 + 3*c**2 - 2*c - 2. Let u(p) = 6*j(p) - 15*o(p). Find the third derivative of u(x) wrt x.
-18
Let q(h) = -38*h**3 - 8*h**2 + 3*h - 2. Let i(p) = -37*p**3 - 6*p**2 + 2*p - 2. Let a(b) = 4*i(b) - 3*q(b). Find the second derivative of a(n) wrt n.
-204*n
Let l(b) = -2*b - 3 + 5*b**3 - 2*b + 2 - 4*b**2. Let s(y) = y**3 - y**2 - y. Let m(x) = l(x) - 4*s(x). Differentiate m(t) with respect to t.
3*t**2
Let c = 3 - -1. What is the second derivative of 4*v + 2*v**4 - v**c - 5*v**4 - 6*v wrt v?
-48*v**2
Suppose 0 = -2*h + 5*h - 9, 3*n + h = 12. What is the third derivative of 9*l**6 + 6*l**2 - 247*l**3 + 247*l**n wrt l?
1080*l**3
Let y(s) = -5*s**2 + 2. Let a(o) = 4*o**2 - 2. Let x = 4 + -4. Let c = x - 3. Let r(m) = c*y(m) - 4*a(m). What is the derivative of r(z) wrt z?
-2*z
Differentiate -14 + 4 + 2*c**3 + 3*c**3 wrt c.
15*c**2
Suppose v - 1 = 2. Find the third derivative of 5*b**4 + 15*b - 15*b + v*b**2 wrt b.
120*b
Let g(h) be the third derivative of -h**4/4 - h**3/2 - 5*h**2. What is the first derivative of g(l) wrt l?
-6
Let t(d) be the second derivative of 3*d + 0 + 0*d**4 + 0*d**3 + 9/2*d**2 + 1/4*d**5. What is the derivative of t(r) wrt r?
15*r**2
Let h(f) = -15*f + 1. Let a be h(-1). Suppose -4*g = 5*i - 9, a = -7*g + 3*g. Find the third derivative of -2*k**5 + k**2 + 0*k**2 + i*k**5 wrt k.
180*k**2
Let t = 4 - 8. Let a = t + 5. Find the first derivative of -a - 2 + 3*p**4 + 4 - 4 wrt p.
12*p**3
Suppose -3*c = 4*l + l + 100, -5*c - 100 = -5*l. Let b = -17 - c. What is the second derivative of 2*v + 8 - b + v**4 wrt v?
12*v**2
Suppose 0*a + a - 2 = 0. Differentiate t + 10*t**a - 5 - t + 0*t**2 wrt t.
20*t
Let n(w) = 2*w**3 - 2*w**2 + 3*w + 3. Let x(j) = j**3 + j**2 + j + 1. Let r(m) = n(m) - 3*x(m). What is the third derivative of r(z) wrt z?
-6
Let v(b) = -40*b**4 + 4*b**3 + 4*b - 56. Let q(n) = 39*n**4 - 5*n**3 - 5*n + 57. Let j(k) = 4*q(k) + 5*v(k). Differentiate j(r) with respect to r.
-176*r**3
Let f be (-3)/18*-2*3. What is the first derivative of i**3 - 1 - f + 3*i**3 wrt i?
12*i**2
Let l(t) be the third derivative of t**7/30 + 7*t**3/6 + 4*t**2. Differentiate l(o) with respect to o.
28*o**3
What is the first derivative of 0 + 0 - 9*x - 3 - 13 wrt x?
-9
Find the third derivative of -15*c**2 + 4*c**6 + 26*c**2 - 20*c**2 wrt c.
480*c**3
Let s be (2*1)/((-2)/(-5)). Suppose -s*h + 7 = -8. Differentiate 2*l**2 - h*l**2 + 1 - 3 wrt l.
-2*l
Suppose f + 3*n = 7, 1 + 4 = -5*n. What is the third derivative of -1 + 11*m**2 - f*m**2 + 1 + 2*m**3 wrt m?
12
Let h(v) = -v - 9. Let s(r) be the third derivative of -r**3/6 + 2*r**2. Let q(i) = -h(i) + 6*s(i). Differentiate q(n) wrt n.
1
Let l(g) be the first derivative of 16*g**5/5 + 8*g**2 + 17. Find the second derivative of l(p) wrt p.
192*p**2
Let f(x) be the third derivative of -x**5/2 + 5*x**4/6 + 18*x**2. What is the second derivative of f(t) wrt t?
-60
Suppose 0*t - t = -3. Let z = 3 - 0. What is the second derivative of -t*q + q**z - 2*q**3 + q wrt q?
-6*q
Let m(v) = 14*v**3 + 25. Let b(c) = -c**3. Let a(x) = 3*b(x) - m(x). What is the derivative of a(k) wrt k?
-51*k**2
Let k(d) = -d**3 + 2*d**2 + d + 1. Let q be k(2). Let s be 1/q + (-25)/(-15). What is the third derivative of m**3 - m**3 - m**5 - 2*m**s wrt m?
-60*m**2
Suppose -5*o = p - 32, 4*p + 4 - 47 = -3*o. Differentiate 6 + 4*k - p - 2 wrt k.
4
Let d = 153 + -148. Let a(n) be the second derivative of -3/2*n**2 - 1/5*n**d + 0*n**4 + 0 + 0*n**3 - n. Differentiate a(v) with respect to v.
-12*v**2
Let r(o) be the third derivative of 3*o**7/35 - 7*o**5/20 - o**2. What is the third derivative of r(z) wrt z?
432*z
Let x be (4/32)/((-6)/(-4)). Let y(j) be the second derivative of 0*j**3 - x*j**4 + 0 - 2*j + j**2. Differentiate y(i) with respect to i.
-2*i
Let q(v) = -v - 4. Let u be q(-6). Let s = 0 + u. What is the second derivative of -3*x + 0*x**4 + 4*x + s*x**4 wrt x?
24*x**2
Let q(s) = -3*s + 29. Let g be q(9). Let t(p) be the first derivative of 2/3*p**3 + 0*p + 0*p**g + 1 + 1/2*p**4. What is the third derivative of t(v) wrt v?
12
Let w = 0 - 2. Let k(d) = -2*d + 1. Let u be k(w). What is the second derivative of -o - o - o + o**u wrt o?
20*o**3
Let g(x) be the third derivative of -x**8/3360 + x**6/360 + x**5/15 + 3*x**2. Let u(z) be the third derivative of g(z). What is the derivative of u(j) wrt j?
-12*j
Suppose -4*p - 10 - 10 = 0. Let d be (-12)/p - 6/15. What is the second derivative of -d*g + 0*g - g**3 + 0*g wrt g?
-6*g
Let q(y) be the third derivative of 0*y + 1/30*y**6 + 0 + 0*y**4 - 1/10*y**5 + 7*y**2 + 0*y**3. What is the third derivative of q(i) wrt i?
24
Let k(y) be the third derivative of y**8/1680 + y**6/45 + 5*y**3/3 + 4*y**2. Let q(l) be the first derivative of k(l). Find the third derivative of q(m) wrt m.
24*m
Let v(o) be the second derivative of -o**9/1008 + o**5/60 - o**3 + 4*o. Let h(r) be the second derivative of v(r). What is the second derivative of h(b) wrt b?
-60*b**3
Let f(i) be the second derivative of 19*i**6/30 - 13*i**4/12 - 4*i. Find the third derivative of f(y) wrt y.
456*y
Let x(c) be the second derivative of 0 + 5*c + 1/4*c**5 + 0*c**3 + 1/6*c**4 + 0*c**2. What is the third derivative of x(q) wrt q?
30
Suppose -2*c + 3 - 11 = 0. Let d = 6 + c. What is the third derivative of -i**2 - d*i**5 + 0 + 0 wrt i?
-120*i**2
Let s = -15 + 24. Let a(f) = 24*f**2 + 16*f - 9. Let i(w) = 6*w**2 + 4*w - 2. Let y(g) = s*i(g) - 2*a(g). Find the second derivative of y(x) wrt x.
12
Find the second derivative of -10*d + 45*d + 31*d**3 - 9*d**3 wrt d.
132*d
Suppose -v + c = -4, c + 2*c = 5*v - 16. Suppose 0 = 3*s - s - 8. What is the second derivative of g**4 + v*g + 2*g**4 - 4*g**s wrt g?
-12*g**2
Let z(w) be the first derivative of 0*w**4 - 4 + 0*w + 0*w**2 - 2/5*w**5 + 4/3*w**3. What is the third derivative of z(r) wrt r?
-48*r
Suppose -2*o - o + 9 = 0. Differentiate -o*t + 2*t + 7*t + 5 with respect to t.
6
Let i = 1/84 - -13/84. Let s(q) be the second derivative of -4*q + 0*q**2 + 0 + 2/3*q**3 + i*q**4. What is the second derivative of s(h) wrt h?
4
Suppose -6 = -3*v + 9. Find the third derivative of 2*b**4 - 2*b**4 + v*b**6 - 5*b**2 - b**6 wrt b.
480*b**3
Let o(y) = y**2 + 4*y - 3. Let a be o(-5). What is the derivative of a*u**2 + 2*u**2 - 3*u**2 - 2*u**2 + 3 wrt u?
-2*u
Let i(t) = t**3 - 3*t**2 - 5*t + 2. Let s be i(4). Let z be (-1)/((1/s)/1). Find the second derivative of 13*n**2 + 4*n**3 - n - 13*n**z wrt n.
24*n
Let j(u) be the first derivative of 13*u**4/4 - 8*u + 5. Differentiate j(l) with respect to l.
39*l**2
Let p(u) = u**2 - u. Let q(n) = -18*n**4 - n**2 + n + 1. Let v(k) = -p(k) - q(k). Differentiate v(x) with respect to x.
72*x**3
Let l(c) = c**2 - 8*c + 8*c - c**4 + c**3 - 1. Let r(m) = -4*m**4 + 3*m**3 + 6*m**2 - 3. Let b(h) = -3*l(h) + r(h). Find the third derivative of b(f) wrt f.
-24*f
Let l(i) be the third derivative of -i**4/12 + i**3/2 + 6*i**2. What is the first derivative of l(q) wrt q?
-2
Let w(o) be the third derivative of -o**7/35 + 17*o**5/30 + 34*o**2. Find the third derivative of w(v) wrt v.
-144*v
Let n be (-6)/(-4) + 12/8. Suppose v = n*v - 4. Find the second derivative of 0*s - 4*s - s**4 + v*s wrt s.
-12*s**2
Let q(r) = -50*r**3 + r - 7. Let h(v) = -98*v**3 + 2*v - 14. Let m(j) = -3*h(j) + 5*q(j). Find the second derivative of m(a) wrt a.
264*a
Let p(i) be the third derivative of i**7/42 + i**3/2 + 7*i**2. What is the first derivative of p(j) wrt j?
20*j**3
Suppose -p = -0*p. Let d(n) be the second derivative of 0 + p*n**4 - 3*n - 1/2*n**2 - 1/20*n**5 + 0*n**3. Differentiate d(u) wrt u.
-3*u**2
Suppose -z + 4*z = -6, 0 = -4*i - 3*z + 2. Suppose -15 = -4*m + 5*u, -3*u + u = 5*m - 27. What is the third derivative of -x**i + x**m + 4*x**2 - 2*x**2 wrt x?
60*x**2
Let w(i) = -2*i**3 + 7*i**4 - 4*i - 3*i + 2*i**2 + 0 + 5*i + 1. Let h(z) = -z**4 + z**3 - z**2 + z - 1.