5 wrt w.
20*w**3
Let c be 2/10 + 18/10. Suppose c*m = d + 4, -3*m + 0*d + 6 = d. What is the third derivative of 3*b**2 + 2*b**4 + 2*b - m*b + 0*b**4 wrt b?
48*b
Let r(t) be the first derivative of 7*t**2/2 + 2*t - 4. What is the derivative of r(h) wrt h?
7
Let q(a) be the second derivative of a**7/21 + 5*a**3/3 + a. Find the second derivative of q(i) wrt i.
40*i**3
Let h(p) be the second derivative of -1/2*p**2 + 1/4*p**5 + 0 + 0*p**3 + 2*p + 0*p**4. Differentiate h(n) with respect to n.
15*n**2
Let u(l) be the second derivative of 5*l**4/12 + 2*l**3/3 + 4*l. What is the second derivative of u(o) wrt o?
10
What is the third derivative of -3*a**4 + 8*a**4 + 7*a**4 - 4*a**4 + 7*a**2 wrt a?
192*a
Let z(x) = x**3 - x**2 - 2*x. Let n be z(2). Suppose 2*q - 3*q + 5 = n. What is the third derivative of -3*v**2 - 3*v**5 + 6*v**5 + v**q wrt v?
240*v**2
Let a(d) be the first derivative of 2/3*d**3 - 2 - 1/2*d**6 + 0*d + 0*d**5 + 0*d**2 + 0*d**4. What is the third derivative of a(b) wrt b?
-180*b**2
Suppose 0 = p - 3*p + 4. What is the derivative of -2*j + 0 - p - j + 0*j wrt j?
-3
Let k(g) be the first derivative of g**5/5 + 20*g**3/3 - 5*g**2/2 - 9. Find the second derivative of k(v) wrt v.
12*v**2 + 40
Let c(h) = h + 19. Let g be c(-13). What is the third derivative of 0*q**g - 5*q**6 + 3*q**2 - 4*q**2 wrt q?
-600*q**3
Let w(o) be the second derivative of o**6/120 - 2*o**5/15 - o**2/2 + 9*o. Let x(a) be the first derivative of w(a). What is the third derivative of x(v) wrt v?
6
Let g(t) be the third derivative of 0*t**6 + 0*t + 1/12*t**5 - 1/48*t**8 + 0 + 0*t**7 + 0*t**4 + 6*t**2 + 0*t**3. Find the third derivative of g(x) wrt x.
-420*x**2
Let a(k) be the third derivative of -1/24*k**4 - 2*k**2 + 0*k + 0*k**5 + 1/30*k**6 + 0*k**3 + 0. Find the second derivative of a(g) wrt g.
24*g
Let j(t) = 11*t + 7. Suppose -3*r + 4*n = 6, -5*r + 5*n = n + 18. Let k(y) = -12*y - 8. Let d(z) = r*k(z) - 7*j(z). Differentiate d(l) with respect to l.
-5
Let z be 1/4 - (-44)/16. Find the first derivative of -4 - 1 + 3*o**3 - 4*o**z wrt o.
-3*o**2
Let f(h) be the second derivative of -h**6/40 - 5*h**3/6 - h**2 - 3*h. Let c(d) be the first derivative of f(d). What is the first derivative of c(i) wrt i?
-9*i**2
Let s(z) be the second derivative of -5*z**4/6 + 11*z**2/2 - 15*z. Differentiate s(t) wrt t.
-20*t
Let c(s) be the third derivative of -3*s**6/8 - 5*s**4/24 + s**3/2 + 10*s**2. Find the second derivative of c(j) wrt j.
-270*j
Find the third derivative of -25*m**2 - 11*m**5 + 42*m**5 + 20*m**2 wrt m.
1860*m**2
Differentiate 4*v**4 - 5*v**4 - 3 + 5*v**4 with respect to v.
16*v**3
Let d(f) = 3*f - 5. Let o be d(5). Let a = -15 + o. Let i(n) = 6*n. Let l(k) = -7*k - 1. Let m(s) = a*i(s) - 4*l(s). Find the first derivative of m(w) wrt w.
-2
Let m(i) be the first derivative of 8*i**5 + 9*i**3 - 1. Find the third derivative of m(t) wrt t.
960*t
Let q = 20 - 29. Let j be (-47)/q + (-6)/27. Find the second derivative of -3*d + 3*d**j + 2*d**5 - 4*d**5 wrt d.
20*d**3
Let s(h) be the first derivative of h**8/28 + h**4/12 + h - 4. Let b(p) be the first derivative of s(p). What is the third derivative of b(x) wrt x?
240*x**3
Let i(g) be the first derivative of g**10/5040 + g**6/360 - 2*g**3/3 - 1. Let q(m) be the third derivative of i(m). What is the third derivative of q(h) wrt h?
120*h**3
Differentiate 364 - 15*f**3 - 4*f - 362 + 4*f with respect to f.
-45*f**2
Let t be 2 - -21 - (-2)/(-2). Let i = t + -11. Find the second derivative of -2*w + i*w**5 - w - 15*w**5 wrt w.
-80*w**3
Let t(i) be the first derivative of -3*i**5/5 - 6*i + 4. Find the first derivative of t(x) wrt x.
-12*x**3
Let k(u) = -2*u**2 + 6*u + 3. Let r(q) = -2*q**2 + 5*q + 3. Let o(g) = -5*k(g) + 6*r(g). Differentiate o(x) with respect to x.
-4*x
Let m(q) = -4*q**2 + 2*q - 25. Let x(k) = -21*k**2 + 11*k - 126. Let r(f) = 11*m(f) - 2*x(f). Differentiate r(b) with respect to b.
-4*b
Suppose 2*f = 2 + 2. Find the first derivative of f*a - 1 + 0 - 5*a + 3 wrt a.
-3
Let j(q) be the first derivative of -q**6/40 + q**3/6 + q**2 - 3. Let g(b) be the second derivative of j(b). Differentiate g(i) with respect to i.
-9*i**2
Suppose 6*d - 3*d = 9. Differentiate -2*x**2 - 4*x + 2*x - d + 2*x with respect to x.
-4*x
Find the third derivative of -2*h**2 - 15*h**2 + 4*h**2 + 0*h**3 - 25*h**3 wrt h.
-150
Let b(l) be the first derivative of 3*l**5/20 - l**2/2 + 3*l + 1. Let q(k) be the first derivative of b(k). Find the first derivative of q(j) wrt j.
9*j**2
Let d(f) be the first derivative of 0*f**3 - 1/6*f**6 + f**2 + 0*f**5 + 0*f**4 - 2 + 0*f. What is the second derivative of d(k) wrt k?
-20*k**3
Let g = 55 - 49. Let v = 2 + 2. Find the third derivative of -4*t**2 + g*t**v - 3*t**4 + 2*t**2 wrt t.
72*t
Suppose -8 = -4*h + 8. Let w = -7 - -7. What is the third derivative of -2*f**2 + w*f**2 - 6*f**4 + 5*f**h wrt f?
-24*f
Suppose 13*v = 11*v + 6. What is the second derivative of 0*x**v + 4*x**5 + 0*x**3 + 4*x wrt x?
80*x**3
Let b(q) be the first derivative of -2/3*q**3 + 0*q + 0*q**2 + 4 + 3/2*q**4. Find the third derivative of b(x) wrt x.
36
Let h(y) = -25*y**2 - 15*y - 9. Let k(j) = -12*j**2 - 7*j - 4. Let o(n) = -4*h(n) + 9*k(n). What is the second derivative of o(i) wrt i?
-16
Let c = 2/77 + 57/770. Let q(k) be the second derivative of c*k**5 + 0*k**2 - k + 0 - 1/6*k**4 + 0*k**3. Find the third derivative of q(p) wrt p.
12
Let u(b) be the second derivative of -11*b**7/21 - 4*b**3/3 - 14*b. What is the second derivative of u(w) wrt w?
-440*w**3
Let q(g) = g. Let n(l) = 21*l + 6. Let t(b) = -n(b) + 6*q(b). Differentiate t(j) with respect to j.
-15
Let t = 8 - 3. Suppose -5 = -g - t*c, -g - c + 0 = -1. What is the second derivative of 4*w**5 + 0 - 4*w + g + 7*w wrt w?
80*w**3
Let g(l) be the first derivative of 0*l**2 + 1 + 5*l - 5/3*l**3. Differentiate g(w) with respect to w.
-10*w
Let f(x) be the third derivative of x**9/72 - x**5/12 - 8*x**2. Find the third derivative of f(y) wrt y.
840*y**3
Let v(n) = -3*n**3 + n**2. Let z(k) = -5*k**3 + 4*k**3 + 3*k**3. Let i(c) = -2*v(c) - 2*z(c). What is the third derivative of i(q) wrt q?
12
Let w(q) = q**2 - 8*q + 9. Let o(l) = -l**2 - 5*l + 1. Let n be o(-3). Let c be w(n). What is the first derivative of -2 - 3 + 4 + c*v**2 wrt v?
4*v
Find the first derivative of 3*h - h**2 - 2*h**2 - 3*h - 7 wrt h.
-6*h
Let q(r) be the third derivative of -7*r**6/120 - r**5/5 - 3*r**2. What is the third derivative of q(n) wrt n?
-42
Let d(a) = a**3 - 5*a**2 - 5*a - 3. Let m be d(6). What is the first derivative of 0 + m + 0 + 10*n**4 wrt n?
40*n**3
Let v(m) be the third derivative of -m**6/40 - m**4/12 + 10*m**2. Find the second derivative of v(z) wrt z.
-18*z
Suppose 0 = -5*s + 10. Let o(t) be the first derivative of 2 + t - 1/2*t**s. Find the first derivative of o(k) wrt k.
-1
Let w(s) = -4*s**4 - 7. Let q be 1*(-5 + 0/(-2)). Let v(t) = 3*t**4 + 6. Let j(u) = q*v(u) - 4*w(u). Find the first derivative of j(r) wrt r.
4*r**3
Let f(x) be the third derivative of 0*x**3 + 0*x + 0*x**6 + 1/24*x**4 + 0*x**7 - x**2 + 1/336*x**8 + 0*x**5 + 0. What is the second derivative of f(p) wrt p?
20*p**3
What is the second derivative of -6*g**2 + 58*g - 49*g - g**2 wrt g?
-14
Let s(h) be the first derivative of h**6/60 - h**3/2 + h**2 - 2. Let w(r) be the second derivative of s(r). What is the derivative of w(y) wrt y?
6*y**2
Let g(r) = 4*r**3 + 7*r**2 + 5*r + 5. Let h(t) = 6*t**3 + 11*t**2 + 8*t + 8. Let z(y) = 8*g(y) - 5*h(y). Find the third derivative of z(i) wrt i.
12
Let v = 13 - 13. Let b(n) be the third derivative of 0*n**3 - 2*n**2 + 1/120*n**6 + v*n + 1/12*n**4 + 0 + 0*n**5. Find the second derivative of b(t) wrt t.
6*t
Let x(m) = -3*m**3 + 7*m**2 - 7*m + 10. Let k(u) = -u**3 + 2*u**2 - 2*u + 3. Let w(j) = -7*k(j) + 2*x(j). Find the first derivative of w(z) wrt z.
3*z**2
Differentiate -1 + 3*a**2 + 7*a**3 - 3*a**2 + 0*a**2 with respect to a.
21*a**2
What is the third derivative of -860*u**4 + 0*u**2 + 6*u**5 + 2*u**2 + 861*u**4 wrt u?
360*u**2 + 24*u
Let m(q) = q**3 + q. Let p(c) = 2*c + 6. Let i(j) = 2*m(j) - p(j). What is the derivative of i(o) wrt o?
6*o**2
Let q(p) be the second derivative of -3*p**5/20 - p**2/2 - 2*p. Differentiate q(k) with respect to k.
-9*k**2
Let h(z) = 48*z + 28. Let x(l) 