 - 5*j**2 + 51*j + 5. Let q(z) = 2*g(z) - 5*k(z). What is the second derivative of q(c) wrt c?
144*c
Let h(f) = f - 2. Let w be h(2). Suppose 2*k - 5*k + 9 = w. What is the second derivative of 7*r**2 - k*r**2 - r + 3*r + 2*r wrt r?
8
What is the first derivative of 4 + 6 - 4*m**2 - 1 wrt m?
-8*m
What is the derivative of 31*j**4 - 20*j**4 + 10 + 23*j**4 wrt j?
136*j**3
Let f(r) be the second derivative of 0 + 1/3*r**3 + 5*r + 0*r**2 + 1/4*r**4. Find the second derivative of f(m) wrt m.
6
Suppose -h - 4 = -2. Let c = 0 - h. What is the second derivative of 3*w - 4*w - 2*w**5 + c*w wrt w?
-40*w**3
Let v(i) = i - 1. Let x(r) = 5*r - 15. Let h(a) = -6*v(a) - x(a). What is the derivative of h(u) wrt u?
-11
Let k = 11 - 7. Suppose 10 = m + k*m. Find the second derivative of m*y**5 + y + y**3 - y**3 wrt y.
40*y**3
Suppose -3*p - 1 = -2*w + 2*p, -w + 4*p - 1 = 0. Suppose -5*k + w + 11 = 3*r, 0 = -r - 4*k + 7. Differentiate 3 - 5 + s**r + 3*s**3 with respect to s.
12*s**2
Suppose 3*v + 3*q = 93, -2*q - 35 + 161 = 4*v. Suppose -2*a = -5*c + 12, 4*a - v = -2*c - 2*c. Find the second derivative of -3*p + 0*p - p**3 + a*p wrt p.
-6*p
Let b(v) = -23*v**2 + 19*v. Let i(s) = -s**2 - 2*s. Let l(m) = b(m) - 4*i(m). Find the second derivative of l(y) wrt y.
-38
Let c(s) = 9*s**2 - s - 1. Let j(z) = z - 1. Let t(u) = c(u) + j(u). Find the first derivative of t(y) wrt y.
18*y
Let h be 3 - (3 + (0 - 0)). Let k(o) be the second derivative of -3/2*o**2 + 0*o**3 + 2*o + h - 1/4*o**4. Find the first derivative of k(f) wrt f.
-6*f
Find the third derivative of -15*p**6 + 19*p**2 + 25*p**6 - 3*p**2 wrt p.
1200*p**3
Let a(n) = 11*n**4 - 6*n**2 - 6*n - 21. Let z(w) = 33*w**4 - 17*w**2 - 17*w - 62. Let o(t) = 17*a(t) - 6*z(t). What is the first derivative of o(q) wrt q?
-44*q**3
Let j be 1 - 10*(-3)/6. What is the third derivative of j*t**2 - 4*t**3 + 3*t**3 - 2*t**2 wrt t?
-6
Let d(u) = -u + 5. Let b(f) = -2*f + 9. Let o(j) = -6*b(j) + 11*d(j). Differentiate o(r) wrt r.
1
Let j(l) = -l + 3. Let c be j(0). Let k(o) = -2*o + 1. Let h(i) = -i. Let x(q) = c*h(q) - 3*k(q). Find the first derivative of x(u) wrt u.
3
Let s(b) be the third derivative of -b**7/35 + b**5/20 + b**3 + 3*b**2 - b. What is the first derivative of s(g) wrt g?
-24*g**3 + 6*g
What is the derivative of -87*s + 19 + 87*s - 8*s**2 wrt s?
-16*s
Suppose 0 = -f + 3*f - 4. Find the third derivative of 0*a**5 + a**2 - 3*a**5 + f*a**2 + a**5 wrt a.
-120*a**2
Let i(a) be the third derivative of -a**4/4 - a**3 - 5*a**2. What is the derivative of i(k) wrt k?
-6
Let o(k) be the first derivative of -k**8/336 - k**4/12 - 3*k**2/2 - 1. Let c(a) be the second derivative of o(a). What is the second derivative of c(s) wrt s?
-20*s**3
Let i = 5 + -3. What is the third derivative of 2*j**6 + i*j**2 + 2*j + 3*j - 5*j wrt j?
240*j**3
Let a(j) be the third derivative of 3*j**6/40 - 2*j**3/3 + 3*j**2. What is the first derivative of a(f) wrt f?
27*f**2
Let x = 15 - 13. What is the first derivative of 6 + 0 - 3*p - x*p + p wrt p?
-4
Let j(o) = o**2 - 2*o - 5. Let t be j(4). Let f = 2 + t. What is the first derivative of 0*p + 4 - 1 - f*p + 2*p wrt p?
-3
Let s(t) = -2*t - 5. Let m(f) = -4*f - 11. Suppose v = -8*w + 3*w + 4, 3*w = -v. Let z = -20 + 33. Let q(j) = v*m(j) + z*s(j). Differentiate q(l) wrt l.
-2
Suppose -10*n + 50 = -5*n. Let p = -7 + n. Find the second derivative of 6*i + i + 2*i**p - i - 2*i wrt i.
12*i
Let r = 14 - 12. Differentiate -2 + 39*u**2 + 2*u**4 - 39*u**r + 8 wrt u.
8*u**3
Let h(q) be the third derivative of q**8/42 - q**5/10 - q**2. Find the third derivative of h(s) wrt s.
480*s**2
Let d(k) be the first derivative of -5*k**4/4 + k**3/3 + 2. What is the third derivative of d(u) wrt u?
-30
What is the third derivative of q**2 + 69*q**3 - 69*q**3 + 8*q**5 wrt q?
480*q**2
Let q(w) = -w**2 - 4*w + 8. Let m be q(-5). Find the second derivative of 4*g**m - 4*g**3 - g - 2*g**4 wrt g.
-24*g**2
Let c(u) = u**3 - 4*u**2 + 3*u + 2. Let t be c(3). What is the second derivative of -t*a**2 + 3*a - 5*a + 6*a**2 wrt a?
8
Let i be -3*2/(-6) + 0. Let u = i - 1. What is the third derivative of 5*q**2 - q**2 - 2*q**4 + 0 + u wrt q?
-48*q
Suppose -l + 4 = -12. Suppose -2*w = 5*y - 17, 5*y = -w - 0*w + l. What is the derivative of -g - 3 - y*g + 2*g wrt g?
-2
Let z = -18 + 25. Suppose -2*m + z*m = 15. What is the first derivative of -v**4 - v**3 + 2*v**4 + v**m + 1 wrt v?
4*v**3
Let d(m) be the first derivative of 4*m**6/3 + 2*m**3 + 5. Find the third derivative of d(i) wrt i.
480*i**2
Let b(y) be the second derivative of -3*y + 0*y**4 - 3/2*y**2 + 0*y**5 + 0*y**3 - 1/6*y**6 + 0. What is the derivative of b(s) wrt s?
-20*s**3
Let p be -7 - (-3 + (-2 - -3)). Let f be (2/(-5))/(1/p). Find the third derivative of 5*n**5 + 2*n**6 - 5*n**5 + 2*n**f wrt n.
240*n**3
Let m(b) = 9*b**5 + 2*b**3 - 2*b**2 + 5*b + 2. Let t(i) = i**5 + i**3 - i**2 + 1. Let a(v) = m(v) - 2*t(v). Find the second derivative of a(k) wrt k.
140*k**3
Find the second derivative of 7*g + g**5 - 6*g**5 - 28*g + 3*g**5 wrt g.
-40*g**3
Let d(i) be the second derivative of -7*i**4/6 - 3*i**2/2 + 3*i. What is the first derivative of d(t) wrt t?
-28*t
Suppose 4*x - g = -27, 0*g + 2*g - 6 = 0. Let u = x - -8. Find the second derivative of i - 2*i**2 - 5*i + u*i wrt i.
-4
Let z(b) be the first derivative of -1/5*b**5 + 2*b**2 - 3 + 0*b + 0*b**3 + 0*b**4. What is the second derivative of z(a) wrt a?
-12*a**2
Let k(i) = -10*i**3 - 3*i**2 + 3*i + 9. Let r(x) = -9*x**3 - 2*x**2 + 2*x + 8. Let h(o) = -2*k(o) + 3*r(o). Differentiate h(y) with respect to y.
-21*y**2
Let y be (2/(-4))/(1/(-4)). Find the second derivative of -3*w + 5*w - 6*w + 3*w**3 + y*w wrt w.
18*w
Let h = 18641/40 - 466. Let w(n) be the third derivative of 0*n**5 + 0*n**3 - 3*n**2 + 0*n - h*n**6 + 0 + 1/12*n**4. Find the second derivative of w(b) wrt b.
-18*b
Let o(p) be the first derivative of 7*p**5/5 + 3*p - 2. What is the derivative of o(w) wrt w?
28*w**3
Let k(f) be the first derivative of 4 + 0*f**4 - 4/5*f**5 + 0*f**3 - 2*f + 0*f**2. What is the derivative of k(q) wrt q?
-16*q**3
Suppose 0*c - 47 = -3*r - 4*c, -37 = -3*r + c. Let k = -8 + r. Find the third derivative of -5*x**2 + 2*x**3 - k*x**3 + 4*x**2 wrt x.
-18
Let t be ((-2)/(-5))/(2/10). What is the first derivative of 1 + 4*n**2 - n**2 + t*n**2 + 0 wrt n?
10*n
Find the third derivative of 41*v**6 - 16*v**2 - 28*v**6 - 33*v**6 wrt v.
-2400*v**3
Let j(b) be the third derivative of -23*b**9/504 - b**5/20 - 19*b**2. What is the third derivative of j(x) wrt x?
-2760*x**3
Let w be 19/(-7) - 28/98. Let q(o) = -8*o**2 - 4*o + 3. Let j(f) = 8*f**2 + 3*f - 2. Let s(y) = w*q(y) - 4*j(y). Differentiate s(b) wrt b.
-16*b
Let v be ((-10)/(-4))/(4/8). What is the third derivative of 3*c**5 - v*c**5 - 4*c**2 - 3*c**6 + 2*c**5 wrt c?
-360*c**3
Let b(k) be the third derivative of -9*k**7/35 + 3*k**4/4 - k**2 - 7*k. What is the second derivative of b(s) wrt s?
-648*s**2
Differentiate -29*d**2 + 23 - 72*d + 153*d - 81*d with respect to d.
-58*d
Suppose 2*h - 3 - 9 = 0. Let g(s) = s**2 - 6*s + 9. Let o be g(h). Find the first derivative of 9*v**2 + 2 - o*v**2 - 2*v**3 wrt v.
-6*v**2
Let r(z) be the second derivative of z**8/420 - z**4/6 - 5*z**3/6 - 2*z. Let l(m) be the second derivative of r(m). Differentiate l(w) with respect to w.
16*w**3
Suppose -9 = 4*f - 25. Let n(l) be the first derivative of 0*l**2 - 3 - 1/4*l**f + 0*l**3 + l. Differentiate n(y) with respect to y.
-3*y**2
Let c(t) = -21*t**4 - 2*t**3 + 2*t**2 - 21. Let h(d) = -713*d**4 - 69*d**3 + 69*d**2 - 713. Let o(w) = -69*c(w) + 2*h(w). Differentiate o(b) wrt b.
92*b**3
Let m(f) = 3*f**4 + 5*f**2 - 5*f + 2. Let u(g) = -g**4 + g**2 - g + 1. Let y(x) = 2*m(x) - 10*u(x). Differentiate y(j) wrt j.
64*j**3
Let h(y) be the second derivative of 41*y**3/6 + 13*y**2/2 + 27*y. What is the derivative of h(k) wrt k?
41
Let z(t) = t**2 - t - 1. Let v be z(2). Let a(x) = 5*x**3 - x**2 - 3. Let g(q) = -q**2 + 1. Let i(f) = v*a(f) + 3*g(f). Find the third derivative of i(m) wrt m.
30
Let z(y) be the second derivative of y**4/12 - y**2/2 - 2*y. Find the first derivative of z(f) wrt f.
2*f
Let p(w) = -w**3 - 5*w**2 - 5*w - 2. Let c be p(-4). What is the first derivative of 6*l**2 - 6 + 3 - c + 0 wrt l?
12*l
Differentiate