-6*d
What is the third derivative of -9*v**4 + 4*v**2 - v + v - 6*v**2 wrt v?
-216*v
Suppose -4*v - 1 = 3*o, -3*v - 4*o - 14 = -4*v. Find the third derivative of -3*w**v + 4*w**3 + 4*w**2 - 8*w**3 wrt w.
-24
What is the derivative of 76 + u**2 - 86 - 2*u**2 wrt u?
-2*u
Let i be (-48)/(-27) - 4/(-18). Let y = i + 1. Find the second derivative of 3*t - 2*t**y - t - 3*t wrt t.
-12*t
Let m(o) = -o + 3. Let h(x) be the third derivative of x**4/8 - x**3 - x**2. Suppose 3*y = 4*y + 5. Let z(c) = y*m(c) - 2*h(c). Differentiate z(d) wrt d.
-1
Let q(c) = -1. Let l(d) = -4*d. Let x(z) = 2*l(z) + 2*q(z). Differentiate x(g) wrt g.
-8
Let i = 20 + -15. What is the second derivative of l + 2*l**4 + l + i*l - 2*l wrt l?
24*l**2
Let m(p) = -2 + 4 - 4*p**2 + 9*p**2 + 2. Let t(d) = 14*d**2 + 11. Let s(z) = -8*m(z) + 3*t(z). What is the first derivative of s(l) wrt l?
4*l
Let s(c) = 15*c**3 - 14*c - 4. Let i(y) = -15*y**3 + 13*y + 3. Let b(d) = 4*i(d) + 3*s(d). What is the second derivative of b(h) wrt h?
-90*h
Let d(c) be the second derivative of c**4/24 + c**3/2 + 3*c**2/2 + 3*c. Let h(g) be the first derivative of d(g). What is the derivative of h(i) wrt i?
1
Let z(r) be the third derivative of r**6/4 - r**3/6 + 3*r**2. Find the first derivative of z(v) wrt v.
90*v**2
Let m(c) = -c**3. Let k(d) = -8*d**3 + 8. Let g(z) = -k(z) + 16*m(z). Find the first derivative of g(h) wrt h.
-24*h**2
What is the third derivative of 8*t**2 - 3*t**3 + 8*t**6 + 3*t**3 - 3*t**6 wrt t?
600*t**3
Let s(d) = d**3 + 4*d**2 - d - 1. Let a be s(-4). Let z be (2 - 2) + (a - -1). Differentiate 3*n**z + 3 - n + n wrt n.
12*n**3
Suppose 4*j + g = 9, -3*g - 5 = -3*j + 13. What is the third derivative of 2*d**3 + 2*d**2 + 2*d**2 - d**2 - 5*d**j wrt d?
-18
Let n(r) be the first derivative of -r**3/3 - r + 2. Differentiate n(a) with respect to a.
-2*a
Let u be (-106)/(-4) - (-2)/(-4). Suppose 6 = -4*j + u. Find the second derivative of -2*y**2 - 4*y + j*y**2 + 6*y wrt y.
6
Let g(u) = -u**3 + 7*u**2. Let v be g(7). What is the first derivative of v - 3 + 0*z + 2*z wrt z?
2
Let c be ((-12)/6)/((-4)/18). Differentiate -4*j + 19 - 15 - c wrt j.
-4
Let m(i) be the first derivative of 0*i**2 - 7 + 0*i + 0*i**5 + 0*i**4 + 1/3*i**3 - 1/3*i**6. What is the third derivative of m(o) wrt o?
-120*o**2
Let d(g) = g**3 - 10*g**2 - 11*g. Let s be d(11). Let f(r) be the first derivative of -2 + s*r**2 - 2*r - 2/3*r**3. Differentiate f(i) with respect to i.
-4*i
Let j(m) be the second derivative of m**5/2 + m**2 + 31*m. Find the first derivative of j(o) wrt o.
30*o**2
Let o(n) be the first derivative of -6*n**6 - 17*n**2 - 38. Find the second derivative of o(i) wrt i.
-720*i**3
Let l be (-4)/(-22) + 62/22. What is the second derivative of -3*t + 0*t + 3*t**3 - 2*t**3 - 4*t**l wrt t?
-18*t
Let c(n) be the third derivative of -n**8/56 + 3*n**4/8 - n**2. Find the second derivative of c(w) wrt w.
-120*w**3
Let g be -2*(-2)/(-4)*-8. Suppose -g = -3*p - 2. What is the second derivative of 0*u + 2*u + u**2 + 2*u**p wrt u?
6
Let j(q) = -q**4 - q**2 + 1. Let p(z) = -18*z**4 - 6*z**2 + 10. Let a(s) = -10*j(s) + p(s). Find the third derivative of a(t) wrt t.
-192*t
Let v(y) be the first derivative of y**8/336 - y**4/8 - y**2 + 6. Let g(i) be the second derivative of v(i). What is the second derivative of g(c) wrt c?
20*c**3
What is the derivative of 20*y**4 - 20 - 2*y**3 - 19*y**4 + 30*y**3 wrt y?
4*y**3 + 84*y**2
Let o(h) be the second derivative of h**9/5040 - h**7/840 + h**4/4 - h. Let c(b) be the third derivative of o(b). What is the third derivative of c(f) wrt f?
72*f
Suppose 10 - 6 = 4*w. Find the first derivative of -w + n**2 + n**2 + 4 wrt n.
4*n
Suppose -90*m - 25 = -95*m. Let y(f) be the third derivative of 0*f**3 + 0*f - 1/15*f**m + 0 - f**2 - 1/24*f**4. Find the second derivative of y(d) wrt d.
-8
Let l(b) be the second derivative of -31*b**6/15 + 43*b**3/6 + 5*b - 3. Find the second derivative of l(t) wrt t.
-744*t**2
Let m(v) = -v**2 + 3*v + 2. Let a be m(2). What is the second derivative of -5*r + 2*r**4 - 2*r**a - r**4 wrt r?
-12*r**2
Let v(d) be the second derivative of -13*d**4/12 - 3*d**3/2 - 7*d. What is the second derivative of v(q) wrt q?
-26
Let l(w) be the second derivative of -2*w**5/5 + w**4/2 - 3*w. What is the third derivative of l(b) wrt b?
-48
Let j(z) = -34*z**3 + 22*z + 5. Let l(s) = -33*s**3 + 23*s + 4. Let f(p) = 4*j(p) - 5*l(p). Find the second derivative of f(r) wrt r.
174*r
Find the second derivative of i**3 + 3*i + 7*i**3 - 8*i**3 + i**4 wrt i.
12*i**2
Let q(r) be the third derivative of 9*r**5/20 + r**3/3 - 61*r**2. What is the first derivative of q(n) wrt n?
54*n
Let u = 10 - 1. Let v = -5 + u. What is the second derivative of -7*c**4 + 4*c**v - 2*c + 0*c**4 wrt c?
-36*c**2
Let o(y) = -12*y**3 + 10*y**2 - 2*y + 9. Let f(b) = -2*b**3 + b**2 + 1. Let w(t) = 18*f(t) - 2*o(t). Find the third derivative of w(q) wrt q.
-72
Suppose 20 = -2*x - 5*c, 1 = 5*x + 2*c + 9. Differentiate -6*h**2 + 1 + 0*h + x*h wrt h.
-12*h
Let u(y) be the third derivative of 1/20*y**6 + 1/15*y**5 - 5*y**2 + 0*y**4 + 0 + 0*y**3 + 0*y. Find the third derivative of u(s) wrt s.
36
What is the derivative of 10*f**3 + 1 - 3 - 4 wrt f?
30*f**2
Let t(r) = -10*r**2 + 7*r - 52. Let v(b) = -11*b**2 + 6*b - 52. Let s(q) = -6*t(q) + 7*v(q). Differentiate s(y) with respect to y.
-34*y
Suppose 11*j + 3*j = 56. Let q(t) be the third derivative of 0*t + 1/24*t**4 + 1/2*t**3 - j*t**2 + 0. Find the first derivative of q(y) wrt y.
1
Let y(h) = -h**2 - 3*h - 3. Let i be y(-2). Let v be (i/(-1) - -4) + -2. What is the second derivative of b**2 + b**2 - v*b + b wrt b?
4
Let p(s) be the second derivative of -s**7/70 - s**4/4 - 9*s**2/2 + 3*s. Let l(j) be the first derivative of p(j). What is the second derivative of l(r) wrt r?
-36*r**2
Let p = 2 - 3. Let o be 5 + 2*(p + 0). Find the second derivative of 2*g**5 - o*g**5 - g**5 + 2*g wrt g.
-40*g**3
Find the first derivative of 6 - 8*m**4 + 40*m**4 + 17*m**4 - 1 wrt m.
196*m**3
Suppose -5*p + 44 = -31. Let s be (6/p)/(4/40). Differentiate 4*x**s + 2 - 2*x**4 - 5 + 0 wrt x.
8*x**3
Suppose 3*i - 6 = 2*i. Find the third derivative of -6*c**2 + 6*c**2 + 2*c**2 + 0*c**6 + 4*c**i wrt c.
480*c**3
Let w = -1 + -2. Let p = w - -6. What is the first derivative of 0*i - p + 2*i - 4*i wrt i?
-2
Let m(f) be the first derivative of -21*f**4/4 + 15*f**2/2 - 8. Find the second derivative of m(i) wrt i.
-126*i
Let m(d) be the first derivative of 3*d**5/20 + 2*d**2 + d - 2. Let i(r) be the first derivative of m(r). Find the first derivative of i(f) wrt f.
9*f**2
Let m(q) be the first derivative of 4 + 5/2*q**2 + 5*q. Find the first derivative of m(c) wrt c.
5
Find the second derivative of u - 5*u + 0*u - 4*u + 17*u**2 wrt u.
34
Suppose 0 = 3*u - 2*j - 22, j - 18 = -3*u - 2. What is the third derivative of -5*m**2 + m**u + m**6 - 3*m**6 - 2*m**6 wrt m?
-360*m**3
Let o(w) = 14*w**2 - 6*w - 7. Let k(m) = -13*m**2 + 5*m + 6. Let i(p) = -7*k(p) - 6*o(p). What is the second derivative of i(t) wrt t?
14
Let x(q) be the third derivative of 4*q**5/5 + 25*q**3/3 + q**2 + 5. Differentiate x(l) with respect to l.
96*l
Let o(d) be the second derivative of 1/3*d**3 + 0 - 2*d + 1/6*d**4 + 0*d**2. Find the second derivative of o(b) wrt b.
4
Let a = 8 - 6. Find the second derivative of 5*n - 5*n + n - a*n**3 wrt n.
-12*n
Differentiate s**2 + s**2 - 7 - 4*s**2 with respect to s.
-4*s
Let k(n) be the second derivative of n**5/15 - n**3/3 - n**2 - 4*n. Let w(y) be the first derivative of k(y). Differentiate w(f) wrt f.
8*f
Let y(u) = u**2 - 7*u - 7. Let m(o) = 3*o + 4. Let h(c) = 7*m(c) + 3*y(c). Differentiate h(d) with respect to d.
6*d
Suppose 5*l + 8 - 1 = 2*r, 15 = 2*r + 3*l. Suppose 7*k = 4*k + r. Find the first derivative of 5 - 3 + k*m**4 - m**4 wrt m.
4*m**3
Find the second derivative of -40*k + 24*k**4 + 90*k - 49*k wrt k.
288*k**2
Let x(o) be the third derivative of -o**6/120 - o**4/8 + o**3/6 - o**2. Let s(b) be the first derivative of x(b). Differentiate s(d) wrt d.
-6*d
What is the second derivative of 9*p + p**3 + 6*p - 4*p wrt p?
6*p
Let a(w) = -5*w + 18. Let o(l) = 11*l - 35. Let s(d) = 11*a(d) + 6*o(d). Differentiate s(c) with respect to c.
11
Let z(a) be the second derivative of a**9/15120 + a**7/630