 0*z. What is the first derivative of s(c) wrt c?
-8*c
Let i(q) be the third derivative of 0 - 1/12*q**4 + 0*q + 0*q**3 - q**2 + 1/30*q**5. Find the second derivative of i(w) wrt w.
4
Let r be ((-1)/(-2) - 0)*4. Let n = 6 - 2. What is the third derivative of -2*q**4 + r*q**n - 3*q**2 + q**4 wrt q?
24*q
Let x(w) = 11*w**2 + 5*w + 30. Let r(c) = -17*c**2 - 7*c - 45. Let f(z) = -5*r(z) - 7*x(z). Differentiate f(d) wrt d.
16*d
Let b = 11 - 9. Let i be 2/(-1) + b + 3. Differentiate -2 + i - 2 - 1 + 4*p wrt p.
4
Let o(u) = -u**2 + 1. Let n(m) = -19*m**2 + 11*m + 5. Let i(q) = -n(q) + 5*o(q). What is the second derivative of i(x) wrt x?
28
Suppose k - 1 = 1. Suppose -10 = -5*x + 3*o - k*o, 3*o + 8 = 4*x. What is the second derivative of -2*d**4 + 2*d - 4*d**x + 4*d**2 wrt d?
-24*d**2
Differentiate -10 - 35*s - 47 + 93 with respect to s.
-35
Let f(k) = 55*k + 12. Let w(y) = -56*y - 12. Let h(x) = 4*f(x) + 3*w(x). What is the derivative of h(q) wrt q?
52
Let u(t) = 8*t**4 + 3*t**2 - 3*t + 5. Let n(l) = 7*l**4 + 2*l**2 - 2*l + 6. Let v(x) = -3*n(x) + 2*u(x). Differentiate v(b) with respect to b.
-20*b**3
Let q(k) = k + 1. Let t(h) = -25*h**4 + 6*h - 3. Let y(s) = -3*q(s) - t(s). What is the second derivative of y(b) wrt b?
300*b**2
Let k = 1/4 - -1/4. Let d(f) be the second derivative of 1/6*f**4 - f + 0 + 0*f**3 - k*f**2. Differentiate d(j) with respect to j.
4*j
Suppose -9*s + 14 = -2*s. Let u(f) be the first derivative of 0*f + 0*f**s - 1/3*f**3 - 3 + 2/5*f**5 + 0*f**4. Find the third derivative of u(o) wrt o.
48*o
Let m(g) = g**3 + 9*g**2 - 10*g + 2. Let s be ((-4)/3)/(4/30). Let d be m(s). What is the derivative of -q - d*q + 0*q - 1 wrt q?
-3
Let m = -1 - -6. What is the derivative of -2*w + m*w - 6 + 2 + 2 wrt w?
3
Let d = -4 + 5. Suppose 4*n - 7 = d. What is the third derivative of -v**5 - 3*v**n - 2*v**2 + 3*v**2 wrt v?
-60*v**2
Let w(d) be the second derivative of -9/2*d**2 + 0 + 2*d + 1/2*d**3. What is the derivative of w(h) wrt h?
3
Let u(v) be the third derivative of 1/8*v**4 + 0*v**3 + 0*v**5 + 1/105*v**7 + 0 + 0*v**6 + 0*v + 2*v**2. Find the second derivative of u(k) wrt k.
24*k**2
Suppose 8 = 3*k - 5*k. Let s(d) = 5*d. Let w = 14 - 21. Let h(c) = -9*c + 1. Let p(z) = k*h(z) + w*s(z). What is the derivative of p(a) wrt a?
1
Let i(j) be the first derivative of -j**8/336 + j**5/15 - 5*j**2/2 + 5. Let h(r) be the second derivative of i(r). Find the third derivative of h(t) wrt t.
-60*t**2
Let f(z) = -3 - 1 + 5. Let y(d) = -3*d - 5. Suppose 1 = j - 2*j. Let g(p) = j*y(p) - 4*f(p). Differentiate g(h) with respect to h.
3
Let g(f) be the third derivative of 0*f**3 + 0*f**4 - 1/60*f**5 + 0*f - 3*f**2 + 0 - 1/120*f**6. Find the third derivative of g(n) wrt n.
-6
Let d(l) be the third derivative of 5/24*l**4 - 2*l**2 + 2/3*l**3 + 0 + 0*l. Find the first derivative of d(k) wrt k.
5
Let r = 17 + -17. Let p(l) be the first derivative of r*l**3 + 0*l - 2/5*l**5 - 3/2*l**2 + 1 + 0*l**4. Find the second derivative of p(t) wrt t.
-24*t**2
Let s(f) = -f**2 + f + 2. Suppose 4*v = -2*q + 4, 8 = -3*v + 2*v - 5*q. Let i be s(v). Find the third derivative of -z**2 - z**3 - z**3 + i*z**3 wrt z.
-12
Let g = -4 - -8. Find the first derivative of -g - 3*u + u + 5*u wrt u.
3
Let h(p) be the first derivative of 3*p**2 + 4*p - 10. What is the first derivative of h(s) wrt s?
6
Let j(z) = -2*z**2 + 4. Let b(r) be the first derivative of -r - 1. Let i be 20/6 + 6/(-18). Let u(f) = i*b(f) + j(f). Differentiate u(a) with respect to a.
-4*a
Let c(y) be the third derivative of y**7/105 - 2*y**3/3 + 11*y**2. Differentiate c(o) wrt o.
8*o**3
Let s(d) be the third derivative of -19*d**8/336 - 4*d**5/15 - 6*d**2. What is the third derivative of s(c) wrt c?
-1140*c**2
Let b(m) be the first derivative of -m**4 + m**4 + 3*m**4 + 1 - 2*m**4 + 2*m**2. Find the second derivative of b(k) wrt k.
24*k
Differentiate 68*k**3 - 4*k**4 + 9 - 68*k**3 with respect to k.
-16*k**3
Let r(h) be the second derivative of h**7/2520 - h**6/360 - h**4/4 - h. Let y(s) be the third derivative of r(s). What is the second derivative of y(u) wrt u?
2
Let g(a) be the third derivative of -a**4/24 + 2*a**3/3 + 6*a**2. Find the first derivative of g(j) wrt j.
-1
Find the third derivative of 7*o**4 - o**4 - 7*o**4 + o**2 wrt o.
-24*o
Suppose 3*k - 3 = 5*n + 22, -25 = -5*k + 5*n. Let h be 4/4 + (k - -8). What is the second derivative of -3*t + h*t - 3*t - 2*t**2 wrt t?
-4
Differentiate 384*w + 38*w**2 - 384*w - 22 with respect to w.
76*w
Suppose -2*f - 2*t + 16 = t, -3*f + 24 = -4*t. Suppose -2*c + f = -6*c, -4*a + 4*c = -16. Find the second derivative of -2*l - l**5 + 5*l - a*l wrt l.
-20*l**3
Let u(a) = -a**3 + 0*a**2 - 4*a**2 - 1 - 1 - a. Let f be u(-4). What is the third derivative of 2*t**2 + 0*t**2 - t**f - t**3 wrt t?
-6
Let g(u) be the second derivative of -u**5/5 + 11*u**4/6 + 25*u. What is the third derivative of g(t) wrt t?
-24
Let s be -4 + (6 - 4) - -4. Find the third derivative of -2*r**4 + 7*r**s + 11*r**4 + 2*r**2 wrt r.
216*r
Let l(w) be the third derivative of 1/40*w**6 + 0 - 1/3*w**3 + w**2 + 0*w + 0*w**5 + 0*w**4. What is the first derivative of l(y) wrt y?
9*y**2
Let u(h) be the third derivative of -2*h**7/35 + 5*h**4/24 - 13*h**2. Find the second derivative of u(p) wrt p.
-144*p**2
Let i be 2 + 3*(-8)/(-6). Find the third derivative of -12*c**5 + 6*c**2 + 12*c**5 + 3*c**i wrt c.
360*c**3
Suppose k + 1 = 0, 5*g - 5*k + 4 = 19. Find the second derivative of g*b - 8*b - b**2 + 3*b wrt b.
-2
Let z = -4 + 5. Suppose 4*u - 44 = -4*m, m - z = 3*u - 2. Find the third derivative of 7*q**6 + 3*q**2 - m*q**6 - 2*q**2 wrt q.
-120*q**3
Let x(f) = 7*f**2 + 6*f + 4. Let g(n) = 13*n**2 + 11*n + 9. Let v(j) = -6*g(j) + 11*x(j). What is the first derivative of v(l) wrt l?
-2*l
Let y(f) = 2*f + 2. Let z be y(2). Suppose 0 = 5*c + 2*t - 7, z*c = 2*c - 3*t. Find the first derivative of 0*l**3 + 3*l**4 + 0*l**c + 6 - 2 wrt l.
12*l**3
Let b(y) = 6*y**2 + 3*y + 2. Let c(z) = -25*z**2 - 13*z - 9. Let v(r) = -9*b(r) - 2*c(r). What is the second derivative of v(a) wrt a?
-8
What is the second derivative of 8*f - 4 + 3 - 4*f**2 + 1 wrt f?
-8
Let c(o) = -8*o + 3. Let i(x) = 15*x - 5. Let v(k) = 7*c(k) + 4*i(k). Differentiate v(d) with respect to d.
4
Let s(r) be the second derivative of -3*r**5/20 - 2*r**3/3 - 7*r. Find the second derivative of s(b) wrt b.
-18*b
Let d(x) be the second derivative of 3*x**6/5 + 31*x**2/2 + 28*x. Find the first derivative of d(q) wrt q.
72*q**3
Let m(q) = 3*q**4 + 2*q**3 - 2*q - 8. Let j(t) = -t**4 - t**3 + t - 1. Let z(b) = -2*j(b) - m(b). Differentiate z(p) with respect to p.
-4*p**3
Let q(n) = -4*n**2 - n. Let d = -7 + 13. Let k(p) = 8 - 8 + d*p**2 + p. Let h(w) = -5*k(w) - 7*q(w). What is the second derivative of h(i) wrt i?
-4
Let h(i) be the second derivative of 3*i**6/10 + 5*i**2/2 - 7*i. Differentiate h(l) with respect to l.
36*l**3
Let x(c) = -c**3 - c**2 - 7. Let o be x(-3). Find the third derivative of -7*f**4 + 14 - 14 - o*f**2 wrt f.
-168*f
Let j(n) = -2*n**2 + 1. Let q be j(1). Let o be (-2)/q - (0 - 1). Differentiate 3*t**2 - 4*t**2 - o + 3*t**2 wrt t.
4*t
Let k(c) be the first derivative of 2 + 0*c - 1/2*c**4 - 1/2*c**2 + 0*c**3. Find the second derivative of k(l) wrt l.
-12*l
What is the first derivative of 21586*m + 3 - 21590*m - m**3 + 6 wrt m?
-3*m**2 - 4
Let g(w) be the third derivative of w**8/56 + w**4/8 - 7*w**2. What is the second derivative of g(k) wrt k?
120*k**3
Suppose -2*f = 5*f - 21. Let z(h) be the first derivative of 2/3*h**f - 3 + 1/5*h**5 + 0*h + 0*h**2 + 0*h**4. Find the third derivative of z(a) wrt a.
24*a
Let l(f) = f**2 + 4*f - 1. Let z be l(-3). Let s be (4/3)/(z/(-6)). Find the third derivative of -3*h**4 - 2*h**s + 21*h - 21*h wrt h.
-72*h
What is the third derivative of -l**4 - 3*l**2 - 3*l**4 - l**2 wrt l?
-96*l
Let f(x) = -x**3 - 9*x**2 - x - 7. Let z be f(-9). What is the first derivative of -8*d**2 - 3 + 2*d**2 + 9*d**z wrt d?
6*d
Suppose -4*a = 4*b - 16, -1 + 0 = 2*b - a. Let l = 2 + b. Find the second derivative of c**4 - 2*c + l*c - 3*c wrt c.
12*c**2
Find the second derivative of -82*x**2 + 3*x + 0 - 2 + 30*x**3 + 83*x**2 wrt x.
180*x + 2
Suppose 3*x - 9 = 6. What is the third derivative of h**2 + 2*h**x - 4*h**5 - 3*h**5 wrt h?
-300