19. Let y(l) = l - 1. Let n(w) = -o(w) + 5*y(w). What is the first derivative of n(u) wrt u?
9
Differentiate -10 - 8 + 12 - 9*p**3 with respect to p.
-27*p**2
Let j(r) = r**2 + 9*r + 5. Let u be j(-8). Let g(l) = -2*l - 4. Let b be g(u). Find the second derivative of 2*f**3 - b*f**3 + f + f**4 wrt f.
12*f**2
Suppose -56 + 20 = -5*y + 4*p, 5*y - 3*p = 32. Find the second derivative of -7 + 7 + 0*c + 4*c - 3*c**y wrt c.
-36*c**2
Find the third derivative of -6 + 0*d**4 - 6*d**4 - 6*d**2 + 6 wrt d.
-144*d
Let r = 15 - 18. Let b(u) = -8*u**2 - u - 3. Let c(f) = 9*f**2 + 4. Let o(v) = r*c(v) - 4*b(v). What is the second derivative of o(m) wrt m?
10
Suppose -12 = -g - 2*g. What is the third derivative of 12*s**4 + 5*s**4 - 20*s**g - s**2 + 3*s**2 wrt s?
-72*s
Suppose 0 = b - 4. Let i = 1 + 3. Differentiate 3*h**i - b*h**4 + 2 - h**4 with respect to h.
-8*h**3
What is the second derivative of -9*i + 2*i**5 - 8*i**5 - 2*i**5 wrt i?
-160*i**3
Let f(z) = -z + 3. Let k(p) = 20*p + 5. Let g(v) = 7*v + 2. Let t(d) = 17*g(d) - 6*k(d). Let n(h) = -3*f(h) + 2*t(h). Find the first derivative of n(b) wrt b.
1
Let q(s) = -s**2 - 8*s - 9. Let o be q(-5). Find the third derivative of t**o + 333*t**2 - 340*t**2 + 2*t**6 wrt t.
360*t**3
Find the first derivative of 0 - 14*q**2 - 1 - 5 wrt q.
-28*q
Let k(l) = -l - 7. Let n be k(-9). Let i(v) be the first derivative of 2 - 1/3*v**3 + 0*v + v**n. What is the second derivative of i(q) wrt q?
-2
Let n(w) be the first derivative of -2*w**6/3 - 7*w**3/3 + 2. Find the third derivative of n(k) wrt k.
-240*k**2
Let p(x) be the first derivative of x**6/2 - 5*x**3/3 - 5. What is the third derivative of p(q) wrt q?
180*q**2
Let v(f) be the third derivative of f**6/12 - f**4/12 + 10*f**2. Find the second derivative of v(i) wrt i.
60*i
Differentiate 0*c**4 + 37 - 8 + 16 - 4*c**4 wrt c.
-16*c**3
Let p(q) be the second derivative of -q**8/560 - q**6/360 - q**3/3 - 2*q. Let z(v) be the second derivative of p(v). Find the third derivative of z(a) wrt a.
-72*a
Let x = -14/15 + 11/10. Let k(o) be the second derivative of 0*o**5 + 0*o**3 + 1/12*o**4 + 4*o + x*o**6 + 0*o**2 + 0. Find the third derivative of k(z) wrt z.
120*z
What is the second derivative of 8*f**2 + 17*f + 10*f**2 - 18*f**2 + 27*f**3 wrt f?
162*f
Let s(j) = 50*j**2 - 3*j - 51. Let i(y) = 49*y**2 - 4*y - 49. Let a(v) = 3*i(v) - 4*s(v). What is the derivative of a(r) wrt r?
-106*r
Let n(c) = -8*c**5 - c**3 - 14*c**2 - c + 1. Let p(x) = -x**5 - x**3 - x**2 - x + 1. Let h(g) = n(g) - p(g). What is the third derivative of h(t) wrt t?
-420*t**2
Let s = -27 - -19. Let r(p) = -2*p**4 - 8*p**2 - 5*p. Let v(k) = k**4 + 3*k**2 + 2*k. Let j(x) = s*v(x) - 3*r(x). Find the second derivative of j(l) wrt l.
-24*l**2
Let q(w) be the first derivative of w**10/1260 + w**6/360 - 4*w**3/3 - 4. Let m(l) be the third derivative of q(l). Find the third derivative of m(s) wrt s.
480*s**3
What is the second derivative of -5*i - 199 + i**4 + 199 wrt i?
12*i**2
Find the third derivative of 595*q**3 + 10*q**5 + 35*q**2 - 595*q**3 wrt q.
600*q**2
Let r be 8/3 - (-4)/12. Find the second derivative of 4*i - 3*i + i - 5*i**3 - 2*i**r wrt i.
-42*i
What is the second derivative of -2*j**3 + 3*j - 8*j + 0*j**3 wrt j?
-12*j
Suppose -2*s + 32 = 2*s. What is the third derivative of s*t**4 - 64*t + 6*t**2 + 64*t wrt t?
192*t
Suppose 3*a = -3*l, 4*l - 2*a - 2*a = 16. What is the third derivative of 5*q**2 + 5*q**6 + q**6 + 4*q**l - q**2 wrt q?
720*q**3
Let k = 23 + -18. Let o be 2*(-2 + 9/2). Find the second derivative of -2*t**3 - t**o + 2*t**3 + 2*t**k - 2*t wrt t.
20*t**3
Let p(b) = -9*b**3 + 4*b**2 + 3*b. Let n(d) = -6*d + 4*d + 3*d. Let c(o) = 3*n(o) - p(o). What is the third derivative of c(x) wrt x?
54
Differentiate -8 + 35*o**4 - 25 + 12 - 15 wrt o.
140*o**3
Find the second derivative of -5*a - 7*a**3 + a - 3*a**3 + 9*a wrt a.
-60*a
Let s(o) be the third derivative of o**8/24 + o**5/20 - 16*o**2. Find the third derivative of s(h) wrt h.
840*h**2
Suppose -2*r + 7 + 1 = 0. Find the first derivative of 2*i**4 + 2*i**4 - 1 + 0 + 0*i**r wrt i.
16*i**3
Let b(j) be the second derivative of 3*j**5/20 + j**4/2 + 8*j. What is the third derivative of b(k) wrt k?
18
Let k(o) be the third derivative of -o**7/105 + 7*o**3/2 + 15*o**2. Differentiate k(z) wrt z.
-8*z**3
Let u be (-19)/3 + 2/6. Let s(j) = -2*j + 5. Let t(r) = -r + 4. Let k(v) = u*t(v) + 5*s(v). Differentiate k(o) with respect to o.
-4
Let q(t) be the third derivative of -t**7/2520 - t**6/240 - t**5/20 - 2*t**2. Let u(i) be the third derivative of q(i). Differentiate u(l) wrt l.
-2
Let y be (-6)/10 - 6/(-10). Suppose y = m + 2*m - 3, -3*m - 5 = -4*s. Find the third derivative of n + 2*n**3 - n**s - n**2 - n wrt n.
12
Let u(h) be the second derivative of 3/2*h**3 + 0*h**4 + 6*h + 0*h**5 + 0 - 4/15*h**6 + 0*h**2. What is the second derivative of u(n) wrt n?
-96*n**2
Let h(b) = 63*b**2 + 7*b - 55. Let x(i) = 42*i**2 + 5*i - 37. Let v(s) = 5*h(s) - 7*x(s). What is the first derivative of v(w) wrt w?
42*w
Let s(p) be the first derivative of -52*p**5/5 - 6*p**3 - p**2/2 + 19. What is the third derivative of s(i) wrt i?
-1248*i
Let q = 0 - 0. Suppose j = -q*j + 2. What is the second derivative of 2*z**2 - 4*z**2 + 2*z**j + 4*z + z**3 wrt z?
6*z
Let g(b) = -b**3 - 6*b**2 + 4. Suppose -28 = 5*k + 2. Let d be g(k). What is the second derivative of c**3 - 4*c**2 + d*c**2 + c wrt c?
6*c
Let p(m) = 20*m - 14. Let v(t) be the first derivative of 7*t**2/2 - 5*t - 4. Let f(d) = -4*p(d) + 11*v(d). What is the derivative of f(l) wrt l?
-3
What is the third derivative of -3*r**3 - 3*r**3 - 5*r**3 + 10*r**2 wrt r?
-66
Suppose -6*k = -k - 20. What is the derivative of -3 - j**4 - k*j**4 + 4*j**4 wrt j?
-4*j**3
Let v(h) be the third derivative of 0 - 1/2*h**3 + 0*h**4 + 0*h + 1/30*h**5 - 2*h**2. Differentiate v(z) wrt z.
4*z
What is the third derivative of f**2 + f - 14*f**2 - f - 13*f**3 wrt f?
-78
Suppose -5*n + 27 = -3*d, -4*d - 10 = -2*n - 2. Find the second derivative of -f + 5*f**5 - 7*f + 6 - n wrt f.
100*f**3
Let d be (6/(-9) - -1)*9. Find the second derivative of 4 + 3*m**4 - m**4 - d*m - 4 wrt m.
24*m**2
Let g(r) = r - 7. Let s be g(7). Suppose 2*o = -s*o + 10. Find the second derivative of -o*d**2 + d + 5*d**2 - d**4 wrt d.
-12*d**2
Let a(g) be the third derivative of -g**8/112 + g**7/70 - g**5/15 - g**4/12 + 54*g**2. Find the third derivative of a(y) wrt y.
-180*y**2 + 72*y
Find the second derivative of 5*f**2 - f + 0*f**2 + f**2 wrt f.
12
Suppose -2*n + 4*n = 8. Find the third derivative of 6*s**2 - 6*s**6 - n*s**2 + 3*s**6 wrt s.
-360*s**3
Let a = 18 + -11. Suppose 0 = -5*j + 3*v, -2*v + a*v = -3*j. Differentiate 5*l - 2 + j*l - 4*l wrt l.
1
Let s be (23 - 1)*(-2)/4. Let w(x) = 20*x**5 + 4*x + 11. Let o(t) = -7*t**5 - t - 4. Let k(f) = s*o(f) - 4*w(f). What is the second derivative of k(b) wrt b?
-60*b**3
Let o(q) = -6*q**2 + q. Let u(h) = -3*h**2. Let c(b) = -4*o(b) + 7*u(b). What is the second derivative of c(i) wrt i?
6
Let t = -6 + 6. Suppose 3*y - 9 = -t. Find the first derivative of o**4 + 5*o**4 - 3 - y*o**4 wrt o.
12*o**3
Let r(h) = -8*h**2 + 4*h + 10. Let j(c) = -8*c**2 + 3*c + 10. Let w(q) = -4*j(q) + 3*r(q). Differentiate w(g) with respect to g.
16*g
Suppose a + t = 5*a + 1, -a + 4*t = 4. Let c(v) be the second derivative of -v + a - 1/2*v**2 + 1/6*v**3. What is the first derivative of c(u) wrt u?
1
Let a(c) = -4*c - 1. Let s = 6 - 7. Let z be a(s). What is the second derivative of 4*h - 3*h**3 + 3*h**z - h**4 wrt h?
-12*h**2
Let d be 2/4 + 9/2. Suppose -4*g = -4*q + 16, -g + 18 = d*q - 5*g. Differentiate 3 + 0 - 4 - o**q wrt o.
-2*o
Let d(z) = z - 1. Let o be d(7). What is the second derivative of -a**5 - o*a + a + 4*a wrt a?
-20*a**3
What is the first derivative of 2 - 5*s**2 - 20 - 33*s**2 wrt s?
-76*s
Let b(y) = -6*y**4 + 18*y**2 - 8*y + 8. Let h(a) = 2*a**4 - 6*a**2 + 3*a - 3. Let c(x) = -3*b(x) - 8*h(x). What is the third derivative of c(o) wrt o?
48*o
Let b(t) = -t**3 + 9*t**2 - 8*t - 2. Let u be b(7). What is the third derivative of -40*w**3 + u*w**3 - 3*w**2 - 2*w**4 wrt w?
-48*w
Suppose 4*t - 13 = -5. Find the third derivative of -4*w**3 + 3*w**2 - 3*w**t + w**2 wrt w.
-24
Let f(r) = -r. Let n be f(-3). Suppose -6*h = 2*w - h + 2, -5*w =