ith respect to b.
-3
Let w(d) be the third derivative of 0*d**3 + 0*d + 0*d**5 + 0 + 8*d**2 - 5/24*d**4 + 1/30*d**6. Find the second derivative of w(y) wrt y.
24*y
Find the third derivative of -14*m**3 + 15*m**2 - 3*m**3 + 2*m**2 wrt m.
-102
Suppose -l - 8 = 3*l. Let v(c) = -2*c**3 - 2*c**2 + c - 2. Let d be v(l). What is the third derivative of 2*a**d - 2*a**2 + 0*a**2 + 2*a**4 wrt a?
96*a
Suppose 2*c - c - 3 = 0. Find the second derivative of 3*n + 3*n - 4*n - c*n**2 - n wrt n.
-6
Let i(w) be the first derivative of 0*w + 4*w**2 + 0*w**3 + 0*w**4 - 4 - 8/5*w**5. Find the second derivative of i(h) wrt h.
-96*h**2
Let o(d) be the first derivative of 0*d**4 + 5 + 0*d - d**2 - 4/5*d**5 + 0*d**3. Find the second derivative of o(v) wrt v.
-48*v**2
Differentiate 12*x**3 + 9*x**2 - 9*x**2 + 16 + 11*x**3 with respect to x.
69*x**2
Let a(w) be the second derivative of w**8/3360 + w**6/240 + w**4/3 + 2*w. Let z(g) be the third derivative of a(g). What is the second derivative of z(o) wrt o?
12*o
Suppose -d = -2*d - 32. Let g be d/(-14) + (-2)/7. What is the second derivative of f + 3*f + g*f**2 + 2*f**3 - 2*f**2 wrt f?
12*f
Let a(p) be the second derivative of -p**8/112 - p**5/20 - 5*p**2 - 6*p. Let z(v) be the first derivative of a(v). What is the third derivative of z(w) wrt w?
-180*w**2
What is the second derivative of 3*s - 3*s**2 + 9*s**2 + s**2 + 5*s wrt s?
14
What is the second derivative of 9*i**4 - 6*i**4 - 7*i - 11*i**4 wrt i?
-96*i**2
Let o(q) be the third derivative of q**8/168 - 8*q**7/105 + 19*q**5/60 - 15*q**2 + 1. What is the third derivative of o(g) wrt g?
120*g**2 - 384*g
What is the second derivative of 0*b + b + 12*b**3 + b + 0*b wrt b?
72*b
Let u be (6 + 0)*(-10)/(-15). What is the second derivative of -j**4 + 2*j + 5*j**u - j**4 - 5*j wrt j?
36*j**2
Let d(s) be the third derivative of -s**7/210 + s**3 - s**2. Differentiate d(w) wrt w.
-4*w**3
Differentiate 7*a**3 - 265*a + 265*a - 9 wrt a.
21*a**2
Let x(d) = 3*d**3 - d**2 + 4*d. Let a(g) = -13 - g**2 + 5*g + 13 + 3*g**3. Let v(o) = 4*a(o) - 5*x(o). Find the third derivative of v(m) wrt m.
-18
Let p(b) be the second derivative of b**8/7 + 7*b**4/12 - 8*b. What is the third derivative of p(j) wrt j?
960*j**3
Suppose 5*x - 8 - 7 = 0. Let h(g) be the third derivative of -1/6*g**x + 0*g + 1/12*g**4 - g**2 + 0. Differentiate h(b) with respect to b.
2
Let n(g) = -4*g + 5. Let u be n(5). Let z be (-3)/(39/u - -2). What is the second derivative of 3*o**z - 5*o + 4*o - o wrt o?
60*o**3
Let p(v) = v**3 + v**2 - v - 1. Let w(t) = 18*t**4 + 6*t**3 - 7*t**2 - 6*t - 6. Let d(a) = -6*p(a) + w(a). Find the third derivative of d(k) wrt k.
432*k
Let z(o) = 19*o**2 + 15*o + 7. Let n(v) = -8*v + 2*v - 4*v**2 - 5*v**2 - 3 - v. Let d(m) = -7*n(m) - 3*z(m). Find the second derivative of d(c) wrt c.
12
Let b(p) = -25*p**3 - 3*p**2 - 5. Let x(k) = -26*k**3 - 3*k**2 - 6. Let i(h) = -6*b(h) + 5*x(h). Find the third derivative of i(f) wrt f.
120
Let m be (-1)/6 + (-15)/(-90). Let z(g) be the first derivative of 4/3*g**3 + g + m*g**2 + 4. Differentiate z(s) wrt s.
8*s
Suppose 4*t = 2*h - 13 + 5, 5*t = -2*h - 10. Suppose 6*k - k = h. What is the second derivative of k*j + 3*j + j**5 - 4*j wrt j?
20*j**3
What is the third derivative of 15*c**2 + 10 + 8*c**2 + 10*c**4 - 10 wrt c?
240*c
Let y(s) be the third derivative of 0 + 0*s + 0*s**4 + 1/30*s**5 - 1/210*s**7 + 0*s**6 - s**2 + 0*s**3. Find the third derivative of y(c) wrt c.
-24*c
Suppose 0 = 4*c - c - 3. Let j(b) = 7*b - 1. Let l be j(c). What is the third derivative of -i**2 + 2*i**l - 3*i**6 + 0*i**2 wrt i?
-120*i**3
Let p(a) be the second derivative of -a**8/8 + 17*a**4/6 - 19*a. What is the third derivative of p(f) wrt f?
-840*f**3
Let u(x) = -x**2 - x - 1. Let s(d) = -32*d**2 - 26*d + 12. Let l(w) = s(w) + 12*u(w). Find the second derivative of l(q) wrt q.
-88
Let n = 7 - 5. What is the second derivative of 2*v**4 - v + 0*v**2 + 0*v**n + v**4 wrt v?
36*v**2
Find the first derivative of 7 - 8*g**2 - 3 + 3*g - 3*g wrt g.
-16*g
Let b(d) be the second derivative of 0 + 1/10*d**5 - 2*d - 1/2*d**2 + 0*d**3 + 0*d**4. What is the derivative of b(x) wrt x?
6*x**2
Find the first derivative of -3 - 4 - 10 + x**2 wrt x.
2*x
Suppose -h + 4*t = -t - 30, -4*h = -3*t - 35. Let r(p) = -2*p - 4. Let w(a) = -1. Let d(c) = h*w(c) - r(c). Find the first derivative of d(s) wrt s.
2
Suppose 0 = 4*b + 5*k - 23, 0 = b + 3*k - 6 - 5. Differentiate -d**b + 10 + 6 - 21 with respect to d.
-2*d
Let r(k) be the third derivative of 0*k**4 - 5/6*k**3 - 6*k**2 + 0*k**5 + 0*k + 0 - 1/24*k**6. Differentiate r(q) wrt q.
-15*q**2
Let g(d) be the third derivative of 0*d**5 + 0*d**4 + 0*d + d**2 - 1/2*d**3 + 0*d**6 + 0 - 1/70*d**7. Differentiate g(m) wrt m.
-12*m**3
Let d(v) = v - 31. Let y(i) = 2*i - 64. Let b(t) = 13*d(t) - 6*y(t). What is the derivative of b(z) wrt z?
1
What is the derivative of -13 - 3*m**3 + 8*m**4 + 3*m**3 - 2*m**4 wrt m?
24*m**3
Find the first derivative of -144*d**2 + 144*d**2 + 71 - 62*d**4 wrt d.
-248*d**3
Let b(q) = q**2 - 3*q + 1. Let o be b(4). Let v(r) = -r**2 + 7*r + 2. Let m be v(7). Find the third derivative of -u**2 - u**o - m*u**2 + 4*u**2 wrt u.
-60*u**2
Let t(l) be the first derivative of -l**5/5 - 5*l**4/4 - 2*l**3/3 + 7*l**2/2 + 25. What is the third derivative of t(d) wrt d?
-24*d - 30
Let s(z) = 3 + 3*z**2 - 2 + z - 2*z**2. Let t(q) = q**2 + 3*q + 1. Let m = 4 - 7. Let l(o) = m*s(o) + t(o). Differentiate l(g) with respect to g.
-4*g
Let k(f) = 36*f**4 + 4*f**3 - 4*f**2 - f - 4. Let x(w) = w**4 + w**3 - w**2 - w - 1. Let m(u) = k(u) - 4*x(u). Find the second derivative of m(v) wrt v.
384*v**2
Let q(d) be the third derivative of 0*d + 0 + 2*d**2 + 1/40*d**6 + 0*d**5 + 0*d**4 - 1/6*d**3. Differentiate q(p) with respect to p.
9*p**2
Let u be (-2)/(-5) + (-3)/(-5). Suppose -s + 1 = -u. What is the third derivative of -10*k**6 - 3*k**2 + 7*k**6 + s*k**2 wrt k?
-360*k**3
Let u(g) be the first derivative of 0*g + 0*g**2 + 2/3*g**3 - 4 + 0*g**4 + 2/5*g**5. What is the third derivative of u(p) wrt p?
48*p
What is the second derivative of -b**5 - 3*b**5 + 0*b**5 - 4*b wrt b?
-80*b**3
Let d = -11 - -15. Suppose -3*p - 8 = -2*h, d*h + p - 16 = 3*p. Find the first derivative of 4 - 4*c - 2 - h wrt c.
-4
Find the second derivative of -20*i - 5*i**4 + 6*i**4 - 14*i wrt i.
12*i**2
Let q(g) = 0*g + 6 - 7*g - 8. Let f(t) = -15*t - 5. Let n(h) = 4*f(h) - 9*q(h). What is the derivative of n(d) wrt d?
3
Suppose -2*h - h + 26 = 4*b, 18 = 2*b + 4*h. Suppose b*u + 2*n - 33 = 0, 5*u = -3*n + 44 - 7. Find the third derivative of 2*w**2 - 5 - 2*w**u + 5 wrt w.
-120*w**2
Let k = -5 - -8. What is the second derivative of 4*v**3 - v**k + 4*v + 0*v**3 wrt v?
18*v
Let n = 6 - 4. Find the third derivative of 1 - 5*g**2 - 1 + g**n - 2*g**6 wrt g.
-240*g**3
Suppose -10 = -7*x + 11. Let a(h) = 15*h**2 - 5*h - 7. Let d(g) = -8*g**2 + 3*g + 4. Let v(t) = x*a(t) + 5*d(t). Differentiate v(b) with respect to b.
10*b
Let l(p) = 3*p - 14. Let j be l(6). What is the third derivative of j*f**4 + f**2 - 6*f**4 + f**4 - 6*f**2 wrt f?
-24*f
Let i = -8 + 4. Let r = -3 - i. Differentiate 0 + r + 5*l**2 - 3*l**2 + 2*l**2 with respect to l.
8*l
Let g(i) = 23*i + 1. Let s be g(1). Suppose 4*c - 8*c + s = 0. What is the first derivative of 1 - 4 + c - w wrt w?
-1
Let h(u) = -u**3 - 8*u**2 - 8*u - 4. Let t be h(-7). Differentiate 7*y**2 + 2 - t*y**2 - 6 with respect to y.
8*y
Let g = 16 - 16. Let y(r) be the third derivative of g*r + 1/2*r**3 - 3*r**2 + 0 + 1/12*r**4. Differentiate y(z) with respect to z.
2
Let g = 9 + -7. What is the second derivative of -2 + g - 2*r - r**5 wrt r?
-20*r**3
Let h(i) be the second derivative of -29*i**8/56 - 7*i**4/6 - 28*i. What is the third derivative of h(r) wrt r?
-3480*r**3
Let f(t) = -t**2 + 11*t - 4. Let x be f(10). Find the third derivative of -m**2 + 6*m**2 - 4*m**2 - m**x - 2*m**2 wrt m.
-120*m**3
Suppose h - 6 = -h. Differentiate 6*x - h - 4*x + 0*x wrt x.
2
Let d(k) = -2*k - 5. Let c be d(-5). Find the second derivative of -c*v + 3*v + v**5 + v wrt v.
20*v**3
Let j(y) be the third derivative of -7*y**6/120 - 10*y**3/3 + 11*y**2. Find the first derivative of j(o) wrt o.
-21*o**2
Let v = 21 + -19. What is the third derivative of 10*l**2 - 5*l**4 + 0*l**v + 0*l