 0 = g - 4. Let v(x) be the second derivative of -1/3*x**3 - 2*x + 0*x**2 + 0 + 1/6*x**g. Find the second derivative of v(c) wrt c.
4
Let q(s) = -17*s**4 + 6*s**3 - 6*s**2 - 7*s - 6. Let k(w) = w**3 - w**2 + w - 1. Let g(u) = 6*k(u) - q(u). What is the second derivative of g(d) wrt d?
204*d**2
Let k be 2/10 + (-316)/(-20). Suppose t - 4*n - 7 = 0, -2*n - 2*n = -4*t + k. Find the second derivative of 3*d - d - d**t + 3*d**3 wrt d.
12*d
Let t(y) = 22*y**4 - 5*y**2 + 25*y + 5. Let x(i) = -21*i**4 + 6*i**2 - 25*i - 6. Let m(h) = 6*t(h) + 5*x(h). Find the second derivative of m(l) wrt l.
324*l**2
Let t(b) be the first derivative of 3*b**2/2 + 2. Let n be t(1). Find the second derivative of -2*u**4 + n*u - u**4 - 2*u wrt u.
-36*u**2
Let h(p) = 2*p**2 + p - 1. Let l be h(1). What is the third derivative of -2*u**2 - 4*u**5 + 3*u**5 - 3*u**l wrt u?
-60*u**2
Let s = 4 + -2. What is the third derivative of 2*o**6 + 0*o**6 - 6*o**s + 3*o**2 + o**6 wrt o?
360*o**3
Let r = 26 + -20. What is the derivative of 9 - r*a**3 + a**3 - a**3 - 3*a**3 wrt a?
-27*a**2
Let y(q) be the third derivative of -q**8/42 - q**6/60 - 3*q**5/5 + 7*q**2 + 3*q. What is the third derivative of y(u) wrt u?
-480*u**2 - 12
Suppose 4*j - 6 = -b, -2*b - 5*j + 7 = -b. Let i(n) = -n**2 - 6*n + 10. Let d be i(-7). Find the first derivative of -1 - 2*a + 5*a - 3*a**b - d*a wrt a.
-6*a
Let g(a) be the third derivative of 13*a**7/210 + a**5/30 + 9*a**3 - 29*a**2. Differentiate g(t) wrt t.
52*t**3 + 4*t
Let p = -8 + 11. Differentiate 3 + 0 - p*h**3 - h**3 with respect to h.
-12*h**2
Let w(i) be the first derivative of -i**4/6 + 3*i**2 + i + 2. Let a(m) be the first derivative of w(m). Differentiate a(o) wrt o.
-4*o
Let w(z) be the third derivative of z**7/35 + z**5/20 - 5*z**2. What is the third derivative of w(s) wrt s?
144*s
Let h(f) = -2*f**4 + 3*f**3 - 3*f**2 + 3*f - 1. Let y(o) = o**4 - o**3 + o**2 - o. Let w(n) = -2*h(n) - 6*y(n). What is the derivative of w(p) wrt p?
-8*p**3
Let s(m) = -29*m**2 + 17*m - 9. Let c be (34/4)/((-2)/4). Let a(v) = -10*v**2 + 6*v - 3. Let u(l) = c*a(l) + 6*s(l). Find the first derivative of u(f) wrt f.
-8*f
Suppose -3*w + 8*w = 2*i + 24, 2*w = -i + 6. What is the third derivative of 6*r**w - 4*r**4 + r**2 - 3*r**4 - r**4 wrt r?
-48*r
Let y = -7 - -9. What is the derivative of 10*f**4 - 7*f**4 + y + 0 + 4 wrt f?
12*f**3
Let y = -3 + 5. Suppose y*k = k + 3. Find the first derivative of 4*c**3 + 0 - 7*c**3 + k wrt c.
-9*c**2
Let g be 13/3 - 2/(-3). What is the third derivative of -g*c**3 + 5*c**3 + 4*c**2 - 5*c**4 + 3*c**4 wrt c?
-48*c
Let k(s) = -s**3 - 4*s**2 - 5*s - 4. Let g be k(-3). Find the third derivative of 5*b**2 - 7*b**2 + b**3 - 2*b**g - 2*b**3 wrt b.
-6
Let t(n) be the second derivative of -2*n**6/15 - n**5/10 - n**3/2 - 2*n**2 - n + 40. What is the second derivative of t(a) wrt a?
-48*a**2 - 12*a
Let f(a) = a + 4. Let o be f(0). What is the third derivative of -h**5 - 4*h**2 - o*h**2 + 5*h**2 + 2*h**5 wrt h?
60*h**2
Let m(u) = -7*u**3 + u**2 + 4*u + 7. Let g(c) = c**3 - 1. Let k(i) = 6*g(i) + m(i). What is the second derivative of k(v) wrt v?
-6*v + 2
Differentiate 5 - 3*o**3 - 3 - 3*o**3 + 2 with respect to o.
-18*o**2
Let g(k) = 3*k**4 + 6*k**3 - 11*k + 6. Let w(z) = 7*z**4 + 11*z**3 - 21*z + 11. Let y(l) = -11*g(l) + 6*w(l). Find the second derivative of y(p) wrt p.
108*p**2
Find the second derivative of 21*g + 23*g + 17*g**2 + 22*g wrt g.
34
Suppose 4*f - 11 = -b, -24 = -4*f - 3*b - 7. Let g = 0 - -1. Find the first derivative of -2*i**f - 2 + 0 + g wrt i.
-4*i
Let w(g) = -3*g**3 - 15*g - 7. Let r(a) = -2*a**3 - 7*a - 3. Let s(j) = 7*r(j) - 3*w(j). Find the second derivative of s(c) wrt c.
-30*c
Find the second derivative of -11*v**5 + 2*v**5 + 14*v - 7*v wrt v.
-180*v**3
Let y(p) be the second derivative of -p**6/15 + 23*p**5/20 + 19*p**4/12 - p - 5. Find the third derivative of y(c) wrt c.
-48*c + 138
Let h(y) = y + 15. Let a be h(-11). Find the first derivative of -a*m + 2*m + 4*m - 6 wrt m.
2
Let c(r) be the second derivative of -1/3*r**3 + 0*r**2 - 3*r + 0*r**4 + 0*r**5 + 0 + 1/10*r**6. What is the second derivative of c(j) wrt j?
36*j**2
Let v(q) = 18*q**3 - 2*q**2 - q. Let y(t) = -36*t**3 + 5*t**2 + t. Let g(b) = 5*v(b) + 2*y(b). Find the second derivative of g(f) wrt f.
108*f
Let m = 1 + 0. Let x be 0/m*6/12. What is the first derivative of 0 + 4 + x*y**2 - 2*y**2 + y**2 wrt y?
-2*y
Let p be 2 + (3 - -1)/(-4). What is the derivative of 6*y**3 + 4 + 0 + p wrt y?
18*y**2
Let q(l) be the third derivative of l**8/112 + 2*l**4/3 - 23*l**2. What is the second derivative of q(d) wrt d?
60*d**3
Let z(s) be the first derivative of s**5 + 8*s**3/3 - 2. What is the third derivative of z(v) wrt v?
120*v
Let j(l) be the second derivative of l**10/630 - l**6/90 - 2*l**3/3 + 3*l. Let p(v) be the second derivative of j(v). Find the third derivative of p(n) wrt n.
960*n**3
Let i(k) = -2*k**2 + 6*k + 5. Suppose -q + 2 = -0*q. Let d(m) = -m**2 + 3*m + 2. Let l(w) = q*i(w) - 5*d(w). Find the second derivative of l(t) wrt t.
2
Let z(o) be the first derivative of o**6/40 - 5*o**4/24 + 3*o**2/2 - 1. Let g(m) be the second derivative of z(m). What is the second derivative of g(b) wrt b?
18*b
What is the second derivative of -192 + 19*t + 192 + 20*t**3 wrt t?
120*t
Let k be 3 + 2 - (5 - 4). Let d be 21/28 + 1/k. Find the first derivative of x**2 - x**3 + 5 - x**2 - d wrt x.
-3*x**2
Let k be 8/36 + (-16)/(-9). Suppose 5*y = y + 16. Differentiate -y*q**k + 2 + 1 - 6 wrt q.
-8*q
Let d(a) = -2*a**4 + 3*a**3 - 3*a + 1. Let y(g) = -17*g - g**4 + 4*g**3 + 11*g + 2*g. Let s(p) = -4*d(p) + 3*y(p). What is the derivative of s(q) wrt q?
20*q**3
Let i be (1/(-2))/((-1)/24). Suppose -i = n - 4*n. What is the derivative of 6*d**n - 4*d**4 - 3*d**4 - 2 wrt d?
-4*d**3
Let t(u) be the third derivative of 4*u**7/105 + 3*u**5/20 - u**2. What is the third derivative of t(y) wrt y?
192*y
Suppose x = -x + 12. Find the third derivative of -v**2 + 5*v**3 - v**3 - v**x - 4*v**3 wrt v.
-120*v**3
What is the third derivative of -4078*o**2 + 4095*o**2 - 6*o**3 - 7*o**3 wrt o?
-78
Let v(g) be the second derivative of g**8/3360 - g**6/240 - g**4/6 + 2*g. Let o(f) be the third derivative of v(f). Find the second derivative of o(a) wrt a.
12*a
Let d(t) be the third derivative of -t**9/72 - t**5/15 + 2*t**2. What is the third derivative of d(o) wrt o?
-840*o**3
Let v(q) be the third derivative of -q**5/30 - q**3/2 - 7*q**2. Differentiate v(c) wrt c.
-4*c
Suppose 0 = 2*m + 4*s - 2 - 20, 3*m + 2*s = 29. Suppose -2*a = -3*c + 6 + 8, -a - m = -2*c. Find the second derivative of 3*p**4 - p**c - 3*p + 0*p**4 wrt p.
24*p**2
Let r be (1/(-3))/(1/(-6)). Find the second derivative of -5*d + 3*d**4 + 2*d + 5*d + r*d**4 wrt d.
60*d**2
Let h be (-1 - -2)*3 + 2. Find the second derivative of 0*d**5 + 4*d**h - 2*d**5 - 3*d wrt d.
40*d**3
Let d(b) = -30*b**2 + 29. Let u(y) = 15*y**2 - 14. Let g(j) = 3*d(j) + 7*u(j). Differentiate g(p) wrt p.
30*p
What is the second derivative of 4*t - 24*t**3 + 7*t - 24*t**3 wrt t?
-288*t
Differentiate -237*a + 237*a + 6*a**3 - 22 with respect to a.
18*a**2
What is the third derivative of 6*d**2 + 8*d**2 + 3*d**2 + 11*d**2 + 6*d**3 wrt d?
36
Let g(w) = -2*w**2 + 3*w + 6. Let j(o) = -8*o - 3 - 15 + 1 + 6*o**2. Let c(q) = -17*g(q) - 6*j(q). Find the second derivative of c(r) wrt r.
-4
Suppose -i + 5*i = 8. Find the second derivative of 7*w**3 + 2*w**2 - i*w**2 + 2*w - 6*w**3 wrt w.
6*w
Let n = -15 - -15. What is the derivative of 2 + n*p**2 - 8 + 7*p**2 wrt p?
14*p
Let z(y) = -y**2 - 7*y - 1. Let f be z(-6). Let n be -5*-3*1/f. What is the second derivative of -t**4 + 4*t**3 + 2*t - 4*t**n wrt t?
-12*t**2
Suppose -5*l - 5*o + 30 = 0, -3*o + 3 - 1 = -5*l. Suppose 8*x + 8 = 32. What is the third derivative of 3*c**3 - 4*c**3 + 7*c**2 - x*c**2 - c**l wrt c?
-6
Let n(v) be the first derivative of -v**4 - v**2 - 8. Find the second derivative of n(y) wrt y.
-24*y
Let y(m) be the third derivative of -2*m**7/105 + m**5/5 - 23*m**2. Find the third derivative of y(v) wrt v.
-96*v
Let o(m) = 22*m**3 - 7*m**2 + 12*m. Let t(j) = 21*j**3 - 6*j**2 + 11*j. Let r(b) = -6*o(b) + 7*t(b). What is the second derivative of r(l) wrt l?
90*l
Let n(k) be the first derivative of k**4/4 + 8*k - 6. 