b. Find the first derivative of -6 + 2 + b - 5 - 4*r**4 wrt r.
-16*r**3
Let d(p) = p + 2. Let y be d(3). Let z = y - 3. Find the first derivative of -2*a**3 - 4 + 0*a**3 + z wrt a.
-6*a**2
Let m(h) be the first derivative of -h**8/168 + h**5/10 + 2*h**2 - 6. Let j(g) be the second derivative of m(g). What is the third derivative of j(r) wrt r?
-120*r**2
Suppose 5*f - 10 = 5. Suppose x + f*x + 10 = -5*o, -2*o = 4*x + 4. What is the second derivative of 2*v + 3*v**2 + v + x*v**2 + 0*v wrt v?
6
Let s(v) be the second derivative of 0*v**5 + v + 0 + 0*v**6 + 1/6*v**3 + 0*v**4 + 0*v**2 + 1/14*v**7. Find the second derivative of s(x) wrt x.
60*x**3
Let k(y) be the first derivative of 3*y**4 + 8*y**3/3 - 13. What is the third derivative of k(u) wrt u?
72
Let z be -1 - 5/(10/(-4)). Let r(t) = 7*t**3 - 2*t**2 - 4*t - 4. Let a(v) = v**3 - v - 1. Let q(j) = z*r(j) - 4*a(j). Find the third derivative of q(i) wrt i.
18
Let w(l) be the third derivative of 17*l**8/336 - l**5/30 + 4*l**2. What is the third derivative of w(i) wrt i?
1020*i**2
Let k(i) = i**2 + 2*i + 2. Let m be k(-2). Suppose -l + m*z = -12, -l - 2*z - 2*z = 18. Differentiate x + 1 + 5 - 4 - l*x wrt x.
-1
Let d = -4 + 7. What is the derivative of -b + d - 5 - 1 + 4*b wrt b?
3
What is the third derivative of 31*q**6 - 7*q**6 - 26*q**2 + q**6 wrt q?
3000*q**3
Find the first derivative of 89*t**3 - 6 - 107*t**3 - 11 wrt t.
-54*t**2
Let o(j) be the third derivative of 0 + 1/6*j**4 + 0*j + 0*j**3 + 0*j**5 - 7/120*j**6 + 7*j**2. Find the second derivative of o(v) wrt v.
-42*v
What is the derivative of -101*u - 86*u + 63 + 232*u wrt u?
45
Let s(f) be the third derivative of 11*f**8/336 - f**5/12 + f**2. What is the third derivative of s(c) wrt c?
660*c**2
Let j(y) be the third derivative of 1/120*y**6 + 0*y + 4*y**2 + 5/6*y**3 + 0 + 0*y**4 + 0*y**5. Differentiate j(f) with respect to f.
3*f**2
Let r be (-3 - -1)/((-1)/1). Find the second derivative of 8 - v - 8 - r*v**4 wrt v.
-24*v**2
Let i(y) be the first derivative of 0*y + 1/2*y**2 - 3 + 5/3*y**3. What is the second derivative of i(r) wrt r?
10
Let q(c) be the second derivative of -c**11/7920 - c**7/630 + 3*c**4/4 - 7*c. Let t(u) be the third derivative of q(u). Find the third derivative of t(r) wrt r.
-840*r**3
Let g(c) = 2*c**2 + 4*c. Let h = -8 + 7. Let v(z) = -z**2. Let s(b) = h*g(b) - 6*v(b). Find the second derivative of s(j) wrt j.
8
Let q(u) = 2*u + 36. Let r(n) = -n**2 + 4*n + 74. Let b(y) = -11*q(y) + 6*r(y). Differentiate b(d) wrt d.
-12*d + 2
Suppose g - 2*g - 2*u = -3, -2*g = 2*u - 6. Find the second derivative of 4*l**3 - g*l - l**3 - l**3 wrt l.
12*l
Let g be -1*(-3)/(-6)*-2. Let y(j) = -5*j**2 + 4*j. Let k(n) = n**2 - n. Let x(b) = g*y(b) + 6*k(b). Find the second derivative of x(z) wrt z.
2
Let s be (0 + 2)/(2/4). What is the second derivative of 4*d**s - d**4 + 3*d - 2*d**4 + 2*d**4 wrt d?
36*d**2
Let s(o) be the first derivative of 3*o**4 + 4*o**2 - 23. What is the second derivative of s(f) wrt f?
72*f
Find the third derivative of 4190*d**4 + 31*d**5 - 45*d**2 - 4190*d**4 wrt d.
1860*d**2
Let y(l) be the third derivative of -2*l**2 + 1/105*l**7 + 0 + 0*l**6 + 1/30*l**5 + 0*l + 0*l**3 + 0*l**4. Find the third derivative of y(a) wrt a.
48*a
Let d = 5 + -9. Let z(c) = 2*c + 4. Let y(l) = l**2 - l - 3. Let w(o) = d*y(o) - 3*z(o). Find the second derivative of w(m) wrt m.
-8
Let v = 1 + -1. Suppose 2*x + t - 2 = 0, -5*x + 4*x - 5*t = 8. What is the second derivative of -w + v*w**x + 2*w**2 + 0*w wrt w?
4
Suppose 2*y - 21 = -5. Let r = -6 + y. What is the third derivative of 46 - 46 + 2*w**3 - w**r wrt w?
12
Let w(f) = f - 1. Let i(p) = -2*p**2 + 5*p - 7. Suppose 3*y = n + 1, 0*n - 7 = 3*y + n. Let r(h) = y*i(h) + 5*w(h). Find the first derivative of r(v) wrt v.
4*v
Let v = 8/5 - 27/20. Let i(a) be the first derivative of 0*a**2 + 0*a - v*a**4 - 1 - a**3. What is the third derivative of i(u) wrt u?
-6
Let z(t) = 40*t**6 - 8*t**4 + 22*t**2 - 8*t. Let p(x) = 27*x**6 - 5*x**4 + 15*x**2 - 5*x. Let c(w) = -8*p(w) + 5*z(w). Find the third derivative of c(r) wrt r.
-1920*r**3
Let r(g) = -20*g**4 - 5*g**2 + 5*g - 18. Let l(u) = -u**2 + u + 1. Let t(n) = 5*l(n) - r(n). Find the first derivative of t(m) wrt m.
80*m**3
Let w = 0 - 0. Find the second derivative of -4*f**4 + w*f + f + 0*f + f wrt f.
-48*f**2
Let n(w) be the first derivative of 3*w**5/20 - w**4/6 + 3*w - 3. Let h(i) be the first derivative of n(i). Find the third derivative of h(f) wrt f.
18
Let w(a) be the second derivative of 0*a**5 + 0 - 4*a + 0*a**2 + 0*a**6 - 1/42*a**7 - 5/6*a**3 + 0*a**4. Find the second derivative of w(z) wrt z.
-20*z**3
Let l be ((2 - 0) + 8)/2. Find the second derivative of -5*h**l + 5*h + h - h**5 - 4*h wrt h.
-120*h**3
Suppose -6*g = -g. Let l(n) be the first derivative of g*n**4 + 1/5*n**5 + 0*n**2 + 2*n - 1 + 0*n**3. Differentiate l(i) with respect to i.
4*i**3
Let q(u) be the first derivative of 3*u**4/2 + 2*u**2 - 13. What is the second derivative of q(p) wrt p?
36*p
Let r(o) = o**2 - o + o - 2*o. Let v be r(3). What is the derivative of -2*u - 2*u + v*u - 1 wrt u?
-1
Let z(f) = -37*f**2 + 7*f - 45. Let g(y) = 110*y**2 - 20*y + 136. Let q(o) = 5*g(o) + 14*z(o). Find the second derivative of q(r) wrt r.
64
Let t(g) be the first derivative of g**5/5 + g**4/3 + 2*g + 5. Let v(a) be the first derivative of t(a). What is the third derivative of v(b) wrt b?
24
Let v = 5 - 4. Let b(w) = 5*w**5 - 4*w**2 + 5*w + 5. Let r(x) = -x - 1. Let p(j) = v*b(j) + 5*r(j). What is the third derivative of p(q) wrt q?
300*q**2
What is the second derivative of -h**3 - 16*h**3 + 3*h**3 + 27*h - h**3 - 1 wrt h?
-90*h
Find the third derivative of -20*d**3 + 14*d**3 - 6*d**3 - 13*d**2 wrt d.
-72
Let p(w) = -9*w - 5 - 4 + 20*w. Let m(a) = 23*a - 19. Let f(j) = -4*m(j) + 9*p(j). What is the derivative of f(g) wrt g?
7
Let g(i) be the second derivative of -i**5/20 - i**4/3 + i**3/2 - 7*i**2/2 + i. Let q be g(-5). Find the third derivative of s**2 + 5 - 5 - 2*s**q wrt s.
-12
Let y(i) = 4*i**2 + 7. Let k(s) = -5*s**2 - 8. Let g(v) = -6*k(v) - 7*y(v). Find the first derivative of g(q) wrt q.
4*q
What is the derivative of 26*f**2 - 1 - 78*f**2 + 21 + 20 wrt f?
-104*f
Let t be (2 - 0)/(3 + -2). Suppose 0 = 2*f - 6*f - 5*i + 24, -3*f + t*i = 5. What is the first derivative of -f + 0*d + 0*d + d**3 wrt d?
3*d**2
Let c be -1 + -1 + 1*2. Let k = c - -4. Find the third derivative of k*r**2 - r**6 - 3*r**2 - r**6 wrt r.
-240*r**3
Let d(f) = 21*f**3 + 10*f**2 - 5*f - 5. Let w(h) = -11*h**3 - 5*h**2 + 3*h + 3. Let n(t) = 3*d(t) + 5*w(t). Find the third derivative of n(g) wrt g.
48
Let v = -2 + 6. Let h be (-51)/(-15) + v/(-10). Differentiate -2 - 2*s + 2*s + s**h with respect to s.
3*s**2
Find the second derivative of c + 0*c + 29*c**4 - 25*c**4 wrt c.
48*c**2
Suppose 2*d - 13 = -3*d + 4*n, 0 = 4*d - 3*n - 11. Suppose -12 = -3*r, -d*p + r + 4*r - 10 = 0. What is the second derivative of v**2 + v**p - v**2 - 2*v wrt v?
2
Let q(o) be the third derivative of o**7/6 - 9*o**5/20 - 7*o**2. What is the third derivative of q(v) wrt v?
840*v
Let w(g) = 4*g + 3. Let u = 8 - 4. Let q(l) = 3*l + 0 + 2 + 0. Let d(h) = u*w(h) - 5*q(h). Differentiate d(a) wrt a.
1
Let n(f) be the first derivative of f**7/420 - 3*f**5/40 - f**3 - 10. Let b(w) be the third derivative of n(w). What is the second derivative of b(t) wrt t?
12*t
Suppose -7 = 3*t - 19. Suppose d + 6*v - t*v = 0, -4*d = 4*v. What is the third derivative of -3*u**2 + u**2 + 2*u**5 + d*u**2 wrt u?
120*u**2
Find the second derivative of -k**5 - 1 - 4*k + 1 - k**5 wrt k.
-40*k**3
Find the third derivative of -2*r**3 - 5 + 3 - 3*r**2 + 2 wrt r.
-12
Let j(s) be the second derivative of -65*s**3/6 - 43*s**2/2 + 77*s. Differentiate j(p) with respect to p.
-65
Let n(s) = -s**3 + 6*s**2 - 6*s + 7. Let l be n(5). Find the second derivative of -o**2 + o + l*o**2 + 2*o**2 wrt o.
6
Let f(b) = b - 4. Let a(h) = -3*h + 8. Let w(l) = -3*a(l) - 7*f(l). What is the derivative of w(g) wrt g?
2
Let v(u) be the second derivative of 0*u**6 + 1/2*u**3 + 0*u**2 + 3*u + 5/42*u**7 + 0*u**5 + 0*u**4 + 0. Find the second derivative of v(g) wrt g.
100*g**3
Find the second derivative of -8*h + 152*h**2 + 30*h - 158*h**2 wrt h.
-12
Let g(c) = 2*c. Let f be g(1). What is the t