ind the second derivative of v(g) wrt g.
24*g
Suppose -2 = -6*s + 4*s. Differentiate -2 + s + b**4 - 3*b**4 + 0 with respect to b.
-8*b**3
Let w(x) be the second derivative of -x**9/3780 - x**7/2520 - x**4/12 + x. Let s(p) be the third derivative of w(p). What is the third derivative of s(q) wrt q?
-96*q
Differentiate 16*p**4 - 6 - 22*p**4 + 3 wrt p.
-24*p**3
Let k(m) = m**3 + m**2 + m. Let g(c) = c**3 + 3*c**2. Let h(p) = g(p) - 3*k(p). What is the second derivative of h(i) wrt i?
-12*i
What is the second derivative of -8*c**3 - c**3 - 16*c + c**3 - 8*c**3 wrt c?
-96*c
Suppose 5*p = 3*w + 22, -5*w + 9 + 1 = p. Find the third derivative of -3 - 6*g**2 + 3 - 3*g**5 - g**p wrt g.
-240*g**2
Let o(g) = g**2 + 4*g - 2. Let i be o(-5). Differentiate -2 + 3*r**3 - 4*r**i - 3*r**3 + 2*r**3 wrt r.
-6*r**2
Suppose 0*d + d - 1 = 0. Let j = d - -1. What is the third derivative of -k**j - 3*k**2 - 7*k**3 + 6*k**3 wrt k?
-6
Let o(h) be the first derivative of 5*h**6/6 + 7*h**3/3 + 2. What is the third derivative of o(w) wrt w?
300*w**2
Let u(d) = d**3 - 2*d + 1. Let n be u(2). What is the second derivative of 3*m**n + m - m + m**5 - 3*m wrt m?
80*m**3
Let f(w) = -w**3 - 9*w**2 + 9*w - 7. Let q be f(-10). Let i be 1/(1/3) + 0. What is the second derivative of -n**4 - 5*n**4 + i*n**4 - q*n + n**4 wrt n?
-24*n**2
Let y(n) = -n + 4. Let p(l) = -1 - 1 + 1. Suppose -5*g + 6 = -4. Let d(t) = g*p(t) + y(t). What is the derivative of d(z) wrt z?
-1
What is the second derivative of 830*n**3 + 21*n - 814*n**3 + 2 - 2*n + 3*n**5 wrt n?
60*n**3 + 96*n
Find the second derivative of l**3 + 15*l**2 - 15*l**2 - 9*l wrt l.
6*l
Let i(c) be the third derivative of 0*c - 1/2*c**3 + 0 + 0*c**6 + 6*c**2 + 0*c**5 - 1/30*c**7 + 0*c**4. Differentiate i(t) wrt t.
-28*t**3
Find the third derivative of -o**2 - 6*o**2 + o**2 + 8*o**3 - 3*o**3 wrt o.
30
Suppose -4*h = -8*h + 412. What is the second derivative of -7*j - 103*j**3 - j**4 + h*j**3 wrt j?
-12*j**2
Let y(u) = 18*u**3 - 9. Let q(j) = 37*j**3 - 18. Let g(i) = 2*q(i) - 5*y(i). Differentiate g(t) with respect to t.
-48*t**2
Let n(c) be the third derivative of -c**6/30 - c**5/15 + c**4/6 - 4*c**3/3 + 2*c**2 - 2*c. What is the second derivative of n(x) wrt x?
-24*x - 8
Let q(f) be the third derivative of -7*f**6/30 + 5*f**4/24 + 5*f**3/6 + 60*f**2. What is the second derivative of q(c) wrt c?
-168*c
Let y(j) be the second derivative of j**6/15 - 33*j**2/2 + 2*j. What is the derivative of y(a) wrt a?
8*a**3
Let p = 5 - 9. Let q(s) = 7*s**2 - 4*s + 4. Let k(h) = 7*h**2 - 4*h + 5. Let b(o) = p*k(o) + 5*q(o). What is the second derivative of b(a) wrt a?
14
Let x be (-4 - -2) + (8 - 1). Differentiate -x*h**3 + h + 16 - 7 - h with respect to h.
-15*h**2
Suppose -3*a + 7 = -4*j - 2, -4*j - 13 = a. Let v(g) = 1. Let x(s) = -3*s - 2. Let i(b) = a*x(b) - 4*v(b). Differentiate i(d) wrt d.
3
Let z(c) be the third derivative of 0*c**4 - c**2 + 0 + 0*c**3 + 1/40*c**6 - 1/20*c**5 + 0*c. Find the third derivative of z(d) wrt d.
18
Let r(l) be the first derivative of 3*l**7/14 + 7*l**3/6 + 3*l - 1. Let s(k) be the first derivative of r(k). What is the second derivative of s(u) wrt u?
180*u**3
Let m(b) = -5*b + 1. Let s be m(1). Let z = 4 + s. What is the second derivative of 10*u + u**5 - 11*u + z*u**5 wrt u?
20*u**3
Let w(g) = -4*g**4 + 5*g**3 - 5. Let x(m) = -6*m**4 + 8*m**3 - 7. Let l(n) = 8*w(n) - 5*x(n). What is the derivative of l(f) wrt f?
-8*f**3
Let o(k) = -k**3 - 1. Suppose 3*h = 5 + 7. Let j(d) = 0 + d**3 + 9*d**2 + h - 9*d**2 + d. Let i(f) = j(f) + 4*o(f). Find the second derivative of i(z) wrt z.
-18*z
What is the first derivative of -4 - 9 + n + 2 wrt n?
1
Differentiate 12*w - 11*w - w + 7*w**2 + 5 wrt w.
14*w
Suppose 0*r + 6 = 2*r. Find the third derivative of -2*v**2 - 2*v**2 + 2*v**2 - r*v**3 wrt v.
-18
Suppose 2*n = 5*h, 3*h - 6 = -0. Find the second derivative of -2*r - 5*r**n + 8*r + 6*r**5 wrt r.
20*r**3
Let h(s) be the first derivative of -s**7/105 - s**5/15 + s**2/2 - 3. Let m(f) be the second derivative of h(f). What is the third derivative of m(x) wrt x?
-48*x
Suppose 0*x - 2 = -x. Differentiate 5*w**x + 5 + 2 - 2 with respect to w.
10*w
Let p(a) = 17*a**4 + 3*a**2 - 17. Let h(x) = 16*x**4 + 2*x**2 - 17. Let d(t) = 3*h(t) - 2*p(t). Differentiate d(g) wrt g.
56*g**3
Suppose -2*q - 14 = -5*l, 5*q - 2*l = -5*l + 27. Find the third derivative of 0*z**3 + 26*z**2 - 21*z**2 + z**q wrt z.
6
Suppose -4*q + 4 = -4. What is the first derivative of -q*r**4 + 2 + 1 + 4*r**4 + 0*r**4 wrt r?
8*r**3
Let a(d) be the third derivative of d**7/70 + d**5/60 + 4*d**2. What is the third derivative of a(u) wrt u?
72*u
What is the second derivative of 10*j**3 - j**3 - 2*j**3 - 9*j wrt j?
42*j
Let s(w) be the first derivative of 4*w**3/3 + 11*w**2/2 + 6. Find the second derivative of s(g) wrt g.
8
Let x(w) = -w**2 - 8*w - 3. Let c be x(-7). Let i(q) be the first derivative of -4 - q**2 - 2 - 2*q + c. Differentiate i(o) with respect to o.
-2
Let r(y) = -3*y - 10. Let j(d) = -6*d - 21. Let b(f) = -6*j(f) + 13*r(f). Differentiate b(q) with respect to q.
-3
Let t(h) = -h**2 - 11*h - 7. Let w be t(-10). Suppose -9 = -3*r + w*b + 12, -5*r + 65 = b. Find the second derivative of -r + 2*s + 12 + s**4 wrt s.
12*s**2
Find the second derivative of -3*q + 5*q**2 - 38*q + 11*q**5 - 20*q**2 + 16*q**2 wrt q.
220*q**3 + 2
Let a(w) be the third derivative of w**7/30 + w**3/6 - 6*w**2. Differentiate a(f) wrt f.
28*f**3
Let i(c) = -c**3 - 6*c**2 + 4. Let d be i(-6). What is the third derivative of -d*r**5 - r**2 + 2*r**2 + 3*r**5 wrt r?
-60*r**2
Differentiate 23 + 2*l**4 + 6*l**3 - 7*l**3 + 3*l + l**3 with respect to l.
8*l**3 + 3
Let j(q) = q**2 + 4*q + 7. Let m be j(-5). Differentiate 13 - 2 + 10*o**4 - m wrt o.
40*o**3
Let q(j) be the second derivative of -3*j**3/2 + 5*j**2/2 + 14*j. What is the derivative of q(b) wrt b?
-9
Let c(b) be the first derivative of 2/3*b**3 + b - 1 + 0*b**2. What is the derivative of c(a) wrt a?
4*a
Let s(z) = -16*z**5 + 5*z**3 - 22*z**2. Let r(q) = q**5 + q**3. Let t(x) = 5*r(x) - s(x). Find the third derivative of t(i) wrt i.
1260*i**2
Let o = -53 + 531/10. Let v(h) be the second derivative of 0 + 0*h**4 + 0*h**2 - 3*h - 1/6*h**3 - o*h**5. Find the second derivative of v(l) wrt l.
-12*l
Let k(m) = 4*m**4 - 2*m**3 - 3. Let l(v) = 17*v**4 - 9*v**3 - 12. Let r(w) = -9*k(w) + 2*l(w). What is the derivative of r(h) wrt h?
-8*h**3
Let g(y) = y**2 - y + 1. Suppose -22 = -3*b - 4*t, 2*b - 2*t + 3*t = 8. Let p be g(b). What is the first derivative of p*o**2 - 1 - 5*o**2 + 2 - 2*o**2 wrt o?
-8*o
Let x(p) be the first derivative of 6*p**5/5 - 3*p - 18. What is the derivative of x(c) wrt c?
24*c**3
Let m(s) = s**3 - s**2 - s + 1. Let p(c) = 28*c**4 - c**3 + c**2 + c + 50. Let a(r) = m(r) + p(r). Find the first derivative of a(g) wrt g.
112*g**3
Let q be (4/(-8))/((-1)/10). What is the second derivative of q + 3*g - g**2 - g**2 - 5 wrt g?
-4
Let i(u) be the first derivative of -u**2 + 0 - 2 + 0*u**2 + 1 + u**5. What is the second derivative of i(q) wrt q?
60*q**2
Let a(d) be the first derivative of d**7/840 + d**4/12 + d**3/3 - 3. Let r(o) be the third derivative of a(o). What is the first derivative of r(y) wrt y?
3*y**2
Let w(z) = -4*z**3 - 8*z - 21. Let n(s) = -2*s**3 - 4*s - 11. Let u(m) = -11*n(m) + 6*w(m). Let c(k) be the first derivative of u(k). Differentiate c(p) wrt p.
-12*p
Let v(m) be the second derivative of -7*m**5/10 + 11*m**4/6 - 14*m. What is the third derivative of v(g) wrt g?
-84
Let h be (2/(-1))/((-4)/48). What is the third derivative of l**6 - l**2 + h*l**3 - 24*l**3 wrt l?
120*l**3
Let w(n) be the first derivative of -n**5/60 + n**4/24 - 3*n**2/2 + 2. Let v(q) be the second derivative of w(q). What is the second derivative of v(c) wrt c?
-2
Suppose -24*t + 8 = -22*t. Find the first derivative of 10 - 3*d**2 - 8 - t wrt d.
-6*d
What is the second derivative of -22 + 22 - 8*z + 11*z**3 wrt z?
66*z
Suppose -4*v + 4 = -8. Let z = 5 - v. Differentiate -2*j + 4*j + z + j - 4 with respect to j.
3
Let c(v) = 3*v**3 + 2*v**2 - 3*v. Let g(l) = -3*l**2 - 4*l**2 + 10*l**2 - 3*l + 4*l**3. Let y(k) = 3*c(k) - 2*g(k). Find the second derivative of y(t) wrt t.
6*t
What is the second derivative of -23*t**2 - 747*t + 714*t - 3*t**2 wrt t?