3*a**5 + 2*a**5 - 4*a + 5*a + a wrt a?
100*a**3
Differentiate -5 - 14*c**3 + 15 - 3*c**3 wrt c.
-51*c**2
Let l(i) = 3*i**5 - 9*i**2 + 4. Let r(w) = 12*w**5 - 36*w**2 + 15. Let s(o) = -15*l(o) + 4*r(o). What is the third derivative of s(f) wrt f?
180*f**2
What is the third derivative of 31*s**4 - 11*s**2 - 2*s + 16*s**2 + 4*s + 17*s**2 wrt s?
744*s
Let z(t) be the first derivative of -t**5/5 + t**4/6 - 4*t - 2. Let f(g) be the first derivative of z(g). What is the third derivative of f(w) wrt w?
-24
What is the third derivative of 4*o**4 + 21*o**4 - 3*o**4 + 36*o**2 wrt o?
528*o
Suppose -7 = 5*z + 3. Let b = z - -5. What is the third derivative of 3*y**3 - y**4 - 3*y**b - y**2 wrt y?
-24*y
Let h be 12/9*3/2. Find the first derivative of -7 + h*a**2 + 2*a**2 + 9 wrt a.
8*a
Let c be 62/6 + 4/(-12). Let q(r) = r**2 - 10*r + 4. Let p be q(c). What is the third derivative of -2*n**4 - n**4 - p*n**2 + 3*n**2 wrt n?
-72*n
Let n(j) be the third derivative of 0 + 0*j**5 + 1/70*j**7 + 0*j**6 + 3*j**2 + 0*j + 1/3*j**3 + 0*j**4. Differentiate n(v) with respect to v.
12*v**3
Let x(k) = -k**2 + 1. Let n(h) = h**2 - 10. Let d(w) = -n(w) - 3*x(w). What is the derivative of d(r) wrt r?
4*r
Let d(i) be the second derivative of i**8/3360 - i**6/720 + i**4/4 + 4*i. Let w(g) be the third derivative of d(g). What is the second derivative of w(a) wrt a?
12*a
What is the third derivative of 10*q**2 + q**3 + 478*q - 478*q wrt q?
6
What is the first derivative of 14 - 2*g + 1 + 0*g wrt g?
-2
Let y(l) = -10*l**4 + 120*l**2 + 100*l. Let k(z) = -3*z**4 + 40*z**2 + 33*z. Let c(u) = 7*k(u) - 2*y(u). Find the second derivative of c(s) wrt s.
-12*s**2 + 80
Let f(i) = i**2. Let z(u) = -u**2 + 1. Let p(v) = -4*f(v) - 6*z(v). What is the derivative of p(k) wrt k?
4*k
Let l(i) = -20*i**3 + 14*i**2 + 5. Let o(j) = j**3 - 1. Let w(v) = l(v) + 5*o(v). Find the third derivative of w(h) wrt h.
-90
Let r(o) be the first derivative of -o**9/504 + o**5/60 + 5*o**2/2 + 1. Let g(a) be the second derivative of r(a). Find the third derivative of g(w) wrt w.
-120*w**3
Let k(x) be the first derivative of -x**7/840 + x**5/60 - x**3 - 3. Let v(m) be the third derivative of k(m). What is the second derivative of v(r) wrt r?
-6*r
Find the second derivative of -5*j + j**3 - 9*j**3 - j**3 - 2*j**3 wrt j.
-66*j
Let c(q) = 11*q**5 - 4*q**4 - 9*q + 4. Let a(k) = -32*k**5 + 11*k**4 + 27*k - 11. Let w(z) = 4*a(z) + 11*c(z). What is the second derivative of w(s) wrt s?
-140*s**3
Let f = -1 - -11. What is the derivative of -f + 0*w + 3 + 6 + 4*w wrt w?
4
Let s(l) be the third derivative of -17*l**5/60 + 7*l**4/8 + 10*l**2. What is the second derivative of s(a) wrt a?
-34
Let l(q) = -3*q**3 + 3*q - 1. Let v(b) = b**4 + b**3 - b. Let j(s) = 5*l(s) + 15*v(s). Find the first derivative of j(x) wrt x.
60*x**3
Let x(n) be the first derivative of 8*n**5/5 + 7*n + 13. What is the first derivative of x(h) wrt h?
32*h**3
Let t(l) be the first derivative of -7*l**2/2 - 3*l + 10. What is the derivative of t(v) wrt v?
-7
Let f(n) be the first derivative of -6*n**5/5 - 18*n**2 + 11. What is the second derivative of f(v) wrt v?
-72*v**2
Let s(o) be the second derivative of -7*o**4/2 + 33*o**2/2 - o. What is the derivative of s(g) wrt g?
-84*g
Differentiate 12*r**4 + 62 - 56 + 17*r**4 + 5*r**4 with respect to r.
136*r**3
Let o(m) be the first derivative of -4*m**7/105 - m**4/24 - 3*m**2 - 5. Let w(u) be the second derivative of o(u). Find the second derivative of w(n) wrt n.
-96*n**2
Let o(t) = 2*t + 3 + 4*t**3 + 3 - 2 - t**4 - 2*t**3. Let a(d) = 2*d**4 - 5*d**3 - 5*d - 8. Let y(r) = 2*a(r) + 5*o(r). Differentiate y(s) with respect to s.
-4*s**3
Let t be (-11)/(-3) - (-4)/(-6). What is the first derivative of 3 + 0 - b**3 - b**t - 1 wrt b?
-6*b**2
Let h(c) = -7*c**2 + 3*c + 4. Let j(p) = 15*p**2 - 6*p - 9. Let s(q) = 9*h(q) + 4*j(q). What is the second derivative of s(z) wrt z?
-6
Let c = 0 + 2. Let t(a) be the second derivative of 0 - 1/2*a**2 + 0*a**3 - c*a + 1/6*a**4. Differentiate t(b) with respect to b.
4*b
Let j(l) be the second derivative of 0*l**3 + 0*l**2 + 0*l**5 + 0 + 5/12*l**4 - l + 0*l**7 + 1/28*l**8 + 0*l**6. Find the third derivative of j(m) wrt m.
240*m**3
Let l(v) = 166*v**3 + 34*v**2 - 34*v - 66. Let j(h) = -15*h**3 - 3*h**2 + 3*h + 6. Let g(k) = 68*j(k) + 6*l(k). Differentiate g(s) wrt s.
-72*s**2
Let r(b) be the second derivative of -5*b**7/6 - 7*b**4/4 + 11*b. Find the third derivative of r(w) wrt w.
-2100*w**2
Let y(m) = m**2 + m + 1. Let z(d) = -11*d**2 + 7*d - 2. Let w(q) = 2*y(q) + z(q). What is the second derivative of w(l) wrt l?
-18
Suppose -3*r + 3*w = 4*w - 20, 0 = 3*r - 3*w. Let k = 9 - 9. What is the third derivative of c**5 + c**2 + c**r + k*c**2 wrt c?
120*c**2
Let b(w) = w**3 + 3*w**2 + 3*w - 1. Let q(f) = f**2 + 2 + f + f**2 - 3 + f. Let u(d) = -2*b(d) + 3*q(d). Find the first derivative of u(y) wrt y.
-6*y**2
Let a(o) be the third derivative of 5*o**5/12 + 7*o**4/6 + 17*o**2. Find the second derivative of a(t) wrt t.
50
Let r = -49 + 69. Let k be (16/10)/(8/r). What is the third derivative of -t**2 + k*t**2 - 4*t**4 + 4*t**4 + 3*t**4 wrt t?
72*t
Suppose -5*u - 2*f = 3, 4*u + 0*u = -f. Differentiate 125*d**4 - u - 4 - 129*d**4 wrt d.
-16*d**3
Let t(u) = u - 1. Let m be t(1). What is the second derivative of -2*c + m*c + c - 3*c**5 + 5*c wrt c?
-60*c**3
Suppose -5*m = -m - 8. What is the third derivative of -3*t**m - 197*t**6 + 10*t**2 + 200*t**6 wrt t?
360*t**3
Differentiate 349*t**2 - 18 - 3 - 328*t**2 with respect to t.
42*t
Let o(d) be the first derivative of 6*d + 10 + 0*d**2 + 0*d**3 + 0*d**4 + 7/5*d**5. What is the derivative of o(j) wrt j?
28*j**3
What is the derivative of -2*a - 1 - 3*a + 0*a - 13 wrt a?
-5
Let y(k) be the second derivative of -11*k**5/20 + 2*k**3 - 9*k. Find the second derivative of y(x) wrt x.
-66*x
Let o(n) be the first derivative of 11*n**3/3 - 25*n - 21. What is the derivative of o(h) wrt h?
22*h
Let d(a) = 7*a**3 - 8*a**2 - 7*a - 8. Let c(w) = -w**3 + w**2 + w + 1. Let p(r) = -24*c(r) - 3*d(r). Find the second derivative of p(h) wrt h.
18*h
Let l(k) = -6*k**4 + 3*k**3 + 3*k - 26. Let i(z) = -z**4 - z**3 - z. Let u(a) = -3*i(a) - l(a). Differentiate u(d) with respect to d.
36*d**3
Suppose -5*j - m = -13, 5*j - 4*m - 16 = 7. Suppose -l = -2*l + j. Find the third derivative of 2*w**3 + 0*w**l + 0*w**2 - w**2 wrt w.
12
Let o(z) be the third derivative of -z**6/30 + 13*z**5/60 - z**2. Find the third derivative of o(v) wrt v.
-24
Let d(r) be the second derivative of 19*r**5/5 + r**4/12 - 37*r**3/6 + 23*r. What is the third derivative of d(t) wrt t?
456
What is the second derivative of -1191*b - 8*b**4 + 1168*b - 18*b**4 wrt b?
-312*b**2
Let r(s) = -11*s + 9. Let x(a) = 7*a - 6. Let q(y) = 5*r(y) + 8*x(y). What is the derivative of q(u) wrt u?
1
Let r(q) = -14*q**4 + 6*q**3 - 3. Let z(y) = 14*y**4 - 7*y**3 + 2. Let p(g) = -7*r(g) - 6*z(g). What is the first derivative of p(m) wrt m?
56*m**3
Suppose -4*s + 0*s = -j - 6, 18 = 4*s + 5*j. Suppose z + a = s*z - 3, -a + 11 = z. Find the second derivative of -3*b - 2*b + 2*b**3 - 3*b + z*b wrt b.
12*b
Let u(s) = -41*s**2 + 54*s. Let j(f) = 40*f**2 - 52*f. Let q(b) = 6*j(b) + 7*u(b). What is the second derivative of q(g) wrt g?
-94
Let a(h) = h**4 + h**2 + h + 1. Let v(j) = -5*j**2 + 16*j - 5. Let w(y) = 5*a(y) + v(y). Find the second derivative of w(t) wrt t.
60*t**2
Let s be (-22 + 22)/(2*1). Let o(j) be the third derivative of 1/30*j**5 + 0*j**3 - 1/12*j**4 + s*j + 0 - 2*j**2. What is the second derivative of o(c) wrt c?
4
Let j(x) = 88*x**4 - 86*x**2 + 11*x - 11. Let l(k) = -29*k**4 + 29*k**2 - 4*k + 4. Let u(a) = -4*j(a) - 11*l(a). Find the third derivative of u(f) wrt f.
-792*f
Let u(z) = -3*z**2 - 3*z + 6. Let w(v) = 1. Let f(r) = -3*u(r) + 18*w(r). Find the second derivative of f(k) wrt k.
18
Let c = -2 - -6. What is the second derivative of 2*t**4 - 2*t - t**c + 6*t wrt t?
12*t**2
What is the third derivative of 42*t**2 + 0*t**3 - 31*t**5 - 43*t**5 + 99*t**5 + t**3 wrt t?
1500*t**2 + 6
Let d(c) = 10*c - 9. Let y(a) be the second derivative of 3*a**3/2 - 4*a**2 + a. Let x(r) = -2*d(r) + 3*y(r). Find the first derivative of x(l) wrt l.
7
What is the first derivative of -13*j**3 - 33*j**2 + 33*j**2 + 17 wrt j?
