hird derivative of v(b) wrt b?
480*b**2
Suppose -2*w = 2*s - 23 + 5, 2*w = 3*s - 27. Find the second derivative of a**2 + a**5 - 3*a - a**2 + s*a wrt a.
20*a**3
Suppose 3*v - 6 + 0 = 0. Find the third derivative of -4*q**3 + v*q**2 - 8*q**3 + 14*q**3 wrt q.
12
Let x(c) = c**3 - 4*c**2 - 5*c. Let t be x(5). What is the second derivative of l**2 - l + t*l + 2*l - 4*l wrt l?
2
Let m(u) be the second derivative of -u**6/120 - u**4/6 + u**2 + 3*u. Let f(a) be the first derivative of m(a). What is the second derivative of f(x) wrt x?
-6*x
Let n(m) = -m**3 + 8*m**2 + 10*m - 4. Let w be n(9). Find the second derivative of 4*z**2 - w*z + 4*z + 4*z + 0*z wrt z.
8
Let f(x) be the third derivative of -2*x**6/15 - 8*x**5/15 + 11*x**2. What is the third derivative of f(g) wrt g?
-96
What is the second derivative of -2*z - z + 89*z**5 - 85*z**5 wrt z?
80*z**3
Let f = 10 + -9. Find the second derivative of -4*q**4 + q - 1 + f - 2*q**4 wrt q.
-72*q**2
What is the third derivative of f - 35*f**6 + 41*f**6 - f - f**2 wrt f?
720*f**3
Let c(g) be the first derivative of g**4/4 + g**3 - g**2/2 - g + 2. Let f be c(-2). What is the second derivative of 4*j**5 - 3*j**f + j + 2*j wrt j?
20*j**3
Let d(x) be the second derivative of x**6/15 + 2*x**3/3 - 71*x**2/2 - 5*x - 9. Differentiate d(t) with respect to t.
8*t**3 + 4
Find the first derivative of -8 + 4 - 5 - 8*j**2 wrt j.
-16*j
Suppose -2*x - 4 = -3*x - 3*u, 2*x - 8 = -4*u. Let y = 13 - 11. What is the first derivative of 3 + r**2 + x - 4*r**y - 4 wrt r?
-6*r
Let r(x) be the third derivative of 0*x**7 + 3/20*x**5 + x**2 + 0*x**6 + 1/336*x**8 + 0*x + 0 + 0*x**4 + 0*x**3. What is the third derivative of r(w) wrt w?
60*w**2
What is the first derivative of 5 - 3*c**2 + 9*c**3 + 3*c**2 + 0*c**2 wrt c?
27*c**2
Let w(h) = -h**2 + 4*h - 1. Let l be w(3). Let c(n) = -n**3 - 5*n**2 - 6*n - 6. Let q be c(-4). Find the second derivative of i**l - i - 2*i**2 - i**q wrt i.
-4
Find the second derivative of 11 + a**3 - 11 - 16*a + 5*a wrt a.
6*a
Let l(q) = -18*q**2 + 21*q - 4. Let n(b) = 53*b**2 - 64*b + 11. Let h(x) = 11*l(x) + 4*n(x). What is the second derivative of h(y) wrt y?
28
Let n(p) be the second derivative of p**6/6 - 3*p**2 - 7*p. Differentiate n(o) with respect to o.
20*o**3
Let k(h) be the first derivative of -9 - 2/3*h**3 + 0*h + 7/2*h**2. Find the second derivative of k(j) wrt j.
-4
Let s(u) be the third derivative of 1/120*u**6 + 0*u + 0 + 0*u**5 - 1/24*u**4 - u**2 + 0*u**3. Find the second derivative of s(b) wrt b.
6*b
Let i(f) be the third derivative of f**4/24 - f**3/3 + 4*f**2. Find the first derivative of i(n) wrt n.
1
Find the third derivative of 6*i**2 - i**2 - 9*i**6 - 8*i**2 wrt i.
-1080*i**3
Let g(r) = 174*r**2 + 27*r + 84. Let x(d) = -25*d**2 - 4*d - 12. Let q(w) = 4*g(w) + 27*x(w). Differentiate q(a) wrt a.
42*a
Suppose 3 = -h + 7. Let w(m) = -m**3 + 5*m**2 - m + 5. Let s be w(5). What is the first derivative of s*z - h - z - 3*z wrt z?
-4
Let m(g) be the third derivative of 0*g**4 + 0*g**3 + 0 + 1/20*g**5 - 1/70*g**7 - 3*g**2 + 0*g**6 + 0*g. What is the third derivative of m(r) wrt r?
-72*r
Let m(v) = -8*v + 8*v + 2 + 2*v**2. Let d(c) = c**2 + 1. Let j(s) = -3*d(s) + m(s). What is the first derivative of j(x) wrt x?
-2*x
Let p(a) = a**2 - 7*a + 2. Let x be p(7). Find the first derivative of -9*d - 4*d**2 + 9*d + x + 2*d**2 wrt d.
-4*d
Let u(c) = -35*c**3 + 28*c**2 - 7*c - 5. Let i(l) = 35*l**3 - 29*l**2 + 6*l + 4. Let p(x) = -5*i(x) - 4*u(x). Find the third derivative of p(y) wrt y.
-210
Differentiate -10*m - 6 + 6 + 4 + 6 with respect to m.
-10
Let s(u) = u - 3. Let j be s(9). Let w = j - 4. Find the third derivative of l**w - l**4 + 2*l**4 + 3*l**2 - l**2 wrt l.
24*l
Let d(x) = -x**2 + 8*x + 4. Let m be d(8). Find the third derivative of w**4 + 0*w**m - w**2 - 2*w**4 wrt w.
-24*w
Let o be 2*(5/2 + -1). Let y = 25 + -22. Differentiate -x**o - x**y + 3 + 0 wrt x.
-6*x**2
Suppose a = -5*s + 4, s + s = -5*a - 3. Find the third derivative of -8*r**4 + 1 + 3*r**2 + 6*r**4 - s wrt r.
-48*r
Suppose -2 = -3*p + 4. What is the second derivative of -2*m + 2*m**2 + 5*m**2 - 5*m**p - m**2 wrt m?
2
Suppose -23 = -5*z - 2*d, -2*z + 26 = 3*d + 2*d. What is the first derivative of 5 + z - 5 - 5*a + a wrt a?
-4
Let p(u) = 21*u**3 + 3*u**2 + 3*u - 29. Let m(d) = -2*d**3 + d**2 + d. Let q(o) = -6*m(o) + 2*p(o). What is the derivative of q(b) wrt b?
162*b**2
Differentiate h - h + 7 - 7*h**2 - 2 with respect to h.
-14*h
Let f(b) be the third derivative of -6*b**2 - 7/24*b**4 + 0 - 3/20*b**5 + 0*b**3 + 0*b. What is the second derivative of f(k) wrt k?
-18
Let y(c) = -c**4 + 5*c**3 - 8*c**2 + 8*c + 7. Let n(m) = m**3 - m**2 + m - 1. Let p(w) = -5*n(w) + y(w). What is the second derivative of p(o) wrt o?
-12*o**2 - 6
Let g(o) = o - 6. Let v be g(8). Find the second derivative of -4*u + u**v + 0*u**2 - 3*u**3 - u**2 wrt u.
-18*u
Let a = 25 - 11. Suppose 2*o + a = 2*h - 6, -3*o = h + 2. Differentiate -h*d + 4 + d**3 + d**3 + 7*d wrt d.
6*d**2
Let k(f) be the first derivative of 7*f**5 - 2*f**3 - 11. What is the third derivative of k(y) wrt y?
840*y
Let f(m) be the third derivative of m**4/2 - 11*m**3/6 - 3*m**2. Differentiate f(p) wrt p.
12
Suppose 0 = p + 3*t + 11, 0 = 4*p - 3*t + 4*t - 11. Suppose 0*c + p = 2*c. What is the third derivative of 0*i**c - i**2 + 0*i**2 - 3*i**3 wrt i?
-18
Let v(z) = z**3 - 5*z**2. Let k be v(5). Let g(r) be the third derivative of 0 + k*r + 1/12*r**4 + 1/6*r**3 - 2*r**2. Find the first derivative of g(x) wrt x.
2
Let a = -2 - -6. What is the third derivative of -2*m**3 - m**3 + a*m**3 - 3*m**2 + 0*m**3 wrt m?
6
Let b(d) = 21*d**2 - 17*d + 6. Let v(w) = -20*w**2 + 16*w - 5. Let p(k) = 5*b(k) + 6*v(k). What is the second derivative of p(o) wrt o?
-30
Suppose 5 = -k + 10. Find the second derivative of -2*b**5 - 2*b + k*b - 7 + 7 wrt b.
-40*b**3
Let z be 0 + 1 - 5/(-5). What is the second derivative of z*s - s - 5*s + 7*s**4 - 3*s**4 wrt s?
48*s**2
Let u(j) be the second derivative of j**6/120 + j**5/60 + j**3/6 - j. Let b(y) be the second derivative of u(y). What is the second derivative of b(i) wrt i?
6
Let v(g) be the third derivative of 0*g**4 - 1/105*g**7 + 1/30*g**5 - 3*g**2 + 0 + 0*g**6 + 0*g + 0*g**3. What is the third derivative of v(t) wrt t?
-48*t
Let k(o) = -o**2 - 9*o - 3. Let j be k(-8). Find the first derivative of -j + 8 + y - 3*y wrt y.
-2
Let f(l) = 3*l - 3*l - l. Let a(n) = n**2 + 4*n + 1. Let z be 108/(-30) + 2/(-5). Let q(r) = z*f(r) - a(r). What is the derivative of q(m) wrt m?
-2*m
Let x be (-10 + 16)/((-3)/(-4)). Find the second derivative of -4*r**4 + 8 - 5*r + 11*r**4 - x wrt r.
84*r**2
Let r(i) be the second derivative of i**6/60 - i**5/60 - i**2 + 2*i. Let y(k) be the first derivative of r(k). What is the third derivative of y(q) wrt q?
12
Let w be -1 + ((-24)/2)/(-3). Let p(v) = v + 8. Let o be p(-6). What is the derivative of o - 4*d**3 - w*d**3 + 5*d**3 wrt d?
-6*d**2
Let p(h) = -4*h + 15. Let z(c) = -7*c + 30. Let r(f) = 5*p(f) - 3*z(f). Differentiate r(a) with respect to a.
1
Let y(r) = 2*r**2. Let s be y(-1). What is the derivative of 0 - 2 + 4 - 3*p**s wrt p?
-6*p
Find the third derivative of 0*y**2 + 8*y**5 + 5*y**5 + 4*y**2 wrt y.
780*y**2
Suppose 3 = n - 0. Find the first derivative of 4 - 3*o**3 + 3*o**3 + 2*o**4 + 0*o**n wrt o.
8*o**3
Let j = 11 - 8. Find the third derivative of -j*t**2 + 2*t + 0*t**2 - 3*t**4 - 2*t wrt t.
-72*t
Find the second derivative of t**5 + 4*t**5 - t**5 + 2*t**5 + 6*t wrt t.
120*t**3
Let f = -8 + 11. Find the second derivative of 3 - 5*g - f + 12*g**2 - 5*g**2 wrt g.
14
Let i be (9/(-12))/(2/(-16)). Differentiate -8 - i*t - 2 + 0*t + 1 wrt t.
-6
Let t(o) be the third derivative of o**9/504 - o**5/30 + 7*o**2. Find the third derivative of t(g) wrt g.
120*g**3
Suppose 7 - 7 = -p. Let h(c) be the first derivative of p*c**3 + 0*c**4 - 1/3*c**6 + c**2 + 0*c**5 - 1 + 0*c. What is the second derivative of h(m) wrt m?
-40*m**3
Let a(m) be the first derivative of m**7/210 - m**5/60 - 2*m**3 - 6. Let d(r) be the third derivative of a(r). Find the second derivative of d(w) wrt w.
24*w
Let q be (-4)/(-28) + 13/7. Let f(u) be the second derivative of 3/2*u**q - 3*u + 1/2*u**3 + 0. What is the first derivative of f(r) wrt r?
3
Find the first 