h*w**2 - 3*w**2 + 2*w**3 + w wrt w.
12*w
Let w(i) = -4*i**2 + 33. Let m(s) = -2*s**2 + 17. Let t(p) = -11*m(p) + 6*w(p). Differentiate t(l) with respect to l.
-4*l
Let r(k) be the third derivative of k**7/105 + 3*k**5/10 - 14*k**2. What is the third derivative of r(b) wrt b?
48*b
Find the first derivative of 18 + 5*b**4 - 6 + 2*b**4 wrt b.
28*b**3
Let z = 29 + -13. What is the third derivative of -z*p - 4*p**3 + 16*p + 9*p**2 wrt p?
-24
Let r(f) be the third derivative of 0*f**3 + 0 + 1/6*f**4 + 1/84*f**8 - 6*f**2 + 0*f**7 + 0*f + 0*f**6 + 0*f**5. Find the second derivative of r(y) wrt y.
80*y**3
What is the third derivative of -5*d**2 + 66*d**2 + 35*d**5 + 5*d**5 - 36*d**2 wrt d?
2400*d**2
Find the second derivative of 9*t**3 - t**3 + 7*t - 2*t wrt t.
48*t
Suppose 2*u = -2*u + 8. What is the first derivative of -3 + 5 - 2 - u*v + 2 wrt v?
-2
Let k(r) = 9*r**2 + 2*r + 5. Let p(o) = -2*o**2 - 1. Let z(i) = -k(i) + p(i). What is the second derivative of z(h) wrt h?
-22
Let m(z) be the first derivative of z**8/840 - z**5/40 + 2*z**3/3 + 1. Let i(p) be the third derivative of m(p). Find the second derivative of i(x) wrt x.
24*x**2
Let k(z) be the third derivative of -7*z**6/120 - 3*z**5/20 - 2*z**2. Find the third derivative of k(g) wrt g.
-42
Let w = 8 - 6. Suppose -c = s - w, -3*c + 4*s + 20 = -0*s. What is the first derivative of 1 + 0*o**c + 2 + 3*o**4 wrt o?
12*o**3
Suppose -3*s - 2*s = -15. Find the second derivative of -7*u + 2*u - s*u**2 + 2*u + u**2 wrt u.
-4
Let k(b) be the first derivative of -2 + 0*b**2 - 7*b + 1/3*b**3. Differentiate k(m) wrt m.
2*m
Let f(t) = -8*t - 1. Let x(z) = 7*z + 1. Let r(c) = 4*f(c) + 5*x(c). Let n be r(1). Differentiate -3*g**2 + 2*g**2 + g**2 - g**2 + n wrt g.
-2*g
Let k(i) = i**3 + 4*i**2 + 3*i + 2. Let v be k(-3). What is the third derivative of -2*o**3 - 2*o**2 - o**3 + 3*o**v - 5*o**2 wrt o?
-18
Let c(t) = 26*t**4 + 8*t**3 - 29*t**2 - 8*t. Let y(z) = -17*z**4 - 5*z**3 + 19*z**2 + 5*z. Let n(p) = 5*c(p) + 8*y(p). Find the third derivative of n(g) wrt g.
-144*g
Let p = -9 - -15. What is the first derivative of -j - 7 + p - 3*j + j wrt j?
-3
Let s = 10 + -7. Find the first derivative of 1 + 4 - 2*h**3 - s wrt h.
-6*h**2
What is the first derivative of -34*m**2 - 6 + 52*m**2 - 24*m**2 + 44 wrt m?
-12*m
Let p(t) = 4*t - 7. Let l(h) be the second derivative of 5*h**3/6 - 4*h**2 + h. Let y(z) = -6*l(z) + 7*p(z). Differentiate y(v) with respect to v.
-2
Let d be (-2)/(-6)*(4 + -4). Differentiate -13 + 2*p**2 + 12 + d*p**2 wrt p.
4*p
What is the second derivative of 2*y**2 - 2*y**2 - 2*y**3 + 13*y**3 + 11*y wrt y?
66*y
What is the first derivative of -6*y**2 + 3*y**2 + 0*y**2 + 4 wrt y?
-6*y
Let g(r) be the second derivative of r**7/14 + 5*r**3/2 - 5*r. Find the second derivative of g(p) wrt p.
60*p**3
Suppose -2*n + 3*r = 2*n - 23, -3*n = -3*r - 21. Find the second derivative of 0*x + 2*x - 4*x**n + 7*x**2 wrt x.
6
Let z(w) = w**2 + 7*w - 5. Let f be z(-8). What is the second derivative of 3*m - m**f - 6*m + 0*m + 0*m wrt m?
-6*m
Find the third derivative of -2*q**4 - 7*q**5 - 23*q**2 + 2*q**4 - 17*q**2 wrt q.
-420*q**2
Let r(o) be the third derivative of o**8/840 - o**4/24 + o**3/3 + o**2. Let l(w) be the first derivative of r(w). Find the first derivative of l(h) wrt h.
8*h**3
Let x(g) = -9*g**4 - 6*g**3 - 6*g - 23. Let c(m) = m**4 - m**3 - m - 1. Let n(l) = 6*c(l) - x(l). What is the first derivative of n(d) wrt d?
60*d**3
Find the third derivative of -5*v + 16*v**2 + 15*v + 39*v**4 - 10*v wrt v.
936*v
Suppose 0 = j - 0*j + 7. Let c = j + 10. What is the derivative of 3 - 5 + 3 + 3 - c*b**2 wrt b?
-6*b
Let n(a) be the first derivative of 17*a**3 - 7*a + 66. Find the first derivative of n(x) wrt x.
102*x
Let a = -7 - -10. Let t(x) be the second derivative of 0 - 1/12*x**4 + 0*x**a + 0*x**2 - x - 1/20*x**5. Find the third derivative of t(p) wrt p.
-6
What is the third derivative of -11*q**2 + 11*q**3 + 15*q**2 - 16*q**2 wrt q?
66
Suppose 4*s - 1 = -2*t - 15, 3*t - s + 7 = 0. Let h(w) = w**2 + 2*w. Let u be h(t). What is the derivative of u*m**3 - 5*m**3 + 0 - 1 wrt m?
-6*m**2
Suppose 4*c - 4 = 5*c + 2*k, -4*c = k - 12. Suppose 4*f + 4 = c*g, -4*g - 5*f + 0*f = -49. Find the third derivative of -q**2 - q**5 + q**5 - 2*q**g wrt q.
-240*q**3
Let l(q) be the first derivative of -2*q**4 + 0*q**3 - 7/2*q**2 + 0*q - 7. Find the second derivative of l(m) wrt m.
-48*m
What is the third derivative of -34*d + 17*d - 38*d**2 + 17*d - 35*d**3 wrt d?
-210
Suppose p + 8 = -4*y, 0 = p - 2*y + 3*y - 1. Suppose -5*r - r = -36. Differentiate -r + 3 - 2*x**2 + p wrt x.
-4*x
Let s(l) = l**2 - l. Let f(h) = -8*h**2 + 12*h - 6. Let n(q) = f(q) + 12*s(q). Differentiate n(o) wrt o.
8*o
Differentiate 2 + 5 - 11*q + 3*q wrt q.
-8
Let n(s) = 3*s - 14. Let g be n(6). Suppose 3*i + 0*i = 12. What is the third derivative of g*v**2 + 5*v**4 + 0*v**4 - v**i wrt v?
96*v
Let w(o) = -7*o**4 + 5*o**3 + 3. Let a(z) = 7*z**4 - 4*z**3 - 4. Let i = -2 + 6. Let l(s) = i*w(s) + 5*a(s). What is the derivative of l(d) wrt d?
28*d**3
Let l(s) be the second derivative of -7*s**6/30 + s**5/5 + 3*s**3/2 + 17*s. Find the second derivative of l(v) wrt v.
-84*v**2 + 24*v
Let x(r) be the first derivative of 17*r**4/4 - 15*r - 9. Differentiate x(b) wrt b.
51*b**2
Let f(g) = g**4 - 8*g**2 - 4*g - 4. Let j(t) = -t**2 - t - 1. Let z(m) = 5*f(m) - 20*j(m). What is the third derivative of z(a) wrt a?
120*a
Let t(r) = -5*r**2 - 2*r + 5. Let w(b) = -b - 1. Let u(c) = -t(c) - 5*w(c). Find the second derivative of u(a) wrt a.
10
Let d(v) = -v**4 - v**3 - 1. Let q(r) = 3*r**5 + 2*r**4 + 2*r**3 + r**2 + 2. Let t(a) = -2*d(a) - q(a). What is the third derivative of t(u) wrt u?
-180*u**2
Find the third derivative of -56*o**3 + 56*o**3 - 14*o**2 + o**4 wrt o.
24*o
Suppose 0 = 2*v - 4 - 4. Find the second derivative of k**v + 3*k + 2*k + 5*k - 2*k wrt k.
12*k**2
Let l(i) be the second derivative of -i**4/24 - i**3/3 + 7*i**2/2 + 5*i. Let h(r) be the first derivative of l(r). Find the first derivative of h(g) wrt g.
-1
What is the second derivative of 107*w**2 - 24*w - 17*w**5 - 107*w**2 wrt w?
-340*w**3
What is the third derivative of 11*y**2 - 24*y**2 + y**6 + 9*y**2 wrt y?
120*y**3
Let t(z) = 1. Let g(x) = 8*x + 20. Let v(m) = g(m) - 12*t(m). What is the derivative of v(o) wrt o?
8
Let q(h) = 2 + 5*h**2 - 9*h + 17 - 3. Let y(k) = k**2 - 2*k + 4. Let i be (-4 - -3)*1*2. Let p(v) = i*q(v) + 9*y(v). What is the first derivative of p(a) wrt a?
-2*a
Find the third derivative of 0*x**4 + x**2 + 4*x**4 + 3*x**2 wrt x.
96*x
Let v(s) be the third derivative of s**10/504 + s**6/45 + s**3 + 3*s**2. Let y(u) be the first derivative of v(u). What is the third derivative of y(t) wrt t?
1200*t**3
Let r = -3 - -8. Suppose 5*b - 8 - 24 = g, 4*b - 14 = -r*g. Find the third derivative of -2*j**2 + j**5 - j**5 + j**b wrt j.
120*j**3
Let x(b) be the second derivative of 1/6*b**3 + 4*b + 3/2*b**2 + 0. Differentiate x(a) with respect to a.
1
Let u(g) be the first derivative of g**4/4 - g**3/3 + g - 3. Let z be u(2). Find the third derivative of -3*y**z + 6*y**3 - 2*y**2 - 6*y**3 wrt y.
-180*y**2
Let i(x) be the first derivative of 5*x**3/3 - x**2 - 8. Find the second derivative of i(f) wrt f.
10
Find the first derivative of 6 - 714*m**4 + 732*m**4 + 4 wrt m.
72*m**3
Find the second derivative of 4*n**4 - 16*n + 23*n - n**4 - 13*n wrt n.
36*n**2
Suppose 2*k + 1 + 3 = 0. Let g be k/1 - (-16)/4. What is the third derivative of 0 - g*d**5 + 0 + 0 + d**2 wrt d?
-120*d**2
Let s(z) = 35*z**2 - 51*z. Let f(r) = 7*r**2 - 10*r. Let w(a) = -11*f(a) + 2*s(a). What is the second derivative of w(v) wrt v?
-14
Differentiate -2*m + 6 - 10*m + 5*m - 7*m with respect to m.
-14
Let k(w) be the third derivative of 3*w**6/20 - 2*w**5/15 + 22*w**2. Find the third derivative of k(a) wrt a.
108
Let y(a) = a**2 + 2. Let p be y(0). Let r = 19 - 13. Find the second derivative of 0*j**2 + r*j**2 + 4*j - p*j - 3*j**2 wrt j.
6
Let q(w) = -6*w**2 + 5*w + 3*w**2 - 4*w**2. Let l(u) = -22*u**2 + 14*u. Let d(h) = 3*l(h) - 10*q(h). Find the second derivative of d(b) wrt b.
8
Let z(c) = -33*c**4 - 13*c**3 + 33*c. Let w(u) = -16*u**4 - 6*u**3 + 16*u. Let d(l) = -13*w(l) + 6*z(l). What is the second derivative of d(i) wrt i?
120*i**