 Differentiate r(z) wrt z.
12*z
Let x(a) = 57*a**2 + 8*a + 84. Let f(v) = 19*v**2 + 3*v + 28. Let y(u) = 8*f(u) - 3*x(u). What is the first derivative of y(c) wrt c?
-38*c
Suppose 2*w - 18 = -2*o, -3*w + 26 = 3*o + o. Find the second derivative of -6*f + w*f + 3*f**2 - f**2 wrt f.
4
Let w(n) be the second derivative of 5*n**7/42 - n**4/4 - 4*n. Find the third derivative of w(z) wrt z.
300*z**2
Let f = 1 + 0. Let k(z) be the first derivative of -f + 1/3*z**3 + 0*z**4 + 0*z**2 + 0*z + 1/5*z**5. What is the third derivative of k(j) wrt j?
24*j
What is the third derivative of 23*l**5 + l**5 + 9*l**2 + 0*l**5 wrt l?
1440*l**2
What is the third derivative of 655*d**6 - 645*d**6 + 16*d**2 - 7*d**2 wrt d?
1200*d**3
Let l be 6/(-33) + 210/66. What is the first derivative of -2 + 4*b**3 + 12 - 2 + b**l wrt b?
15*b**2
Suppose k + 2*k + 3*s + 9 = 0, k - 5*s = 27. Find the third derivative of -3*q**3 - k*q**3 + 2*q**3 - 4*q**2 wrt q.
-18
Let m(w) be the first derivative of -w**8/1680 + w**6/180 - w**3/3 + 2. Let j(x) be the third derivative of m(x). Find the third derivative of j(z) wrt z.
-24*z
Let j(w) = -w - 1. Let h be j(-1). Let c = h + 5. What is the second derivative of -3*a**5 + 3*a + 2*a**5 + 3*a**c wrt a?
40*a**3
Find the second derivative of 0*c**3 - 3*c**3 + 99*c - 98*c wrt c.
-18*c
Let u be (-2 + 1)/((-10)/20). Let j be 24/10 - 4/10. Find the second derivative of -k - j*k**4 + u - 2 wrt k.
-24*k**2
Let s be (-27)/2*(-6)/9. Suppose -s = -2*h - h. Find the second derivative of -3*l + h*l**2 + 0*l**2 + 2*l + 0*l**2 wrt l.
6
Find the third derivative of -3*c**5 + 13*c**2 + 4*c**2 - c**5 - 5*c**2 wrt c.
-240*c**2
Let j = 5 + -2. Suppose -j*q - 2*q = -15. Differentiate -l**2 + 3*l**3 + l**2 + q wrt l.
9*l**2
Let f(y) = 7*y**4 - 31*y**2 + 11*y. Let p(a) = 2*a**4 - 8*a**2 + 3*a. Let o(x) = -6*f(x) + 22*p(x). What is the third derivative of o(d) wrt d?
48*d
Let q(n) be the first derivative of n**8/560 + n**5/120 + n**3/3 - 2. Let t(d) be the third derivative of q(d). What is the second derivative of t(k) wrt k?
36*k**2
Let u(p) be the third derivative of p**9/84 + 17*p**5/60 - 7*p**2. What is the third derivative of u(h) wrt h?
720*h**3
Let o(y) be the second derivative of -y**6/90 - y**5/60 + y**3/6 - 10*y. Let r(t) be the second derivative of o(t). What is the second derivative of r(i) wrt i?
-8
Let p(d) be the third derivative of -4*d**5/15 - d**4/4 + 12*d**2. What is the second derivative of p(r) wrt r?
-32
What is the third derivative of 8*w**2 - w**3 + 3*w - 3*w wrt w?
-6
Let q(x) = 21*x**3 - 9*x**2 + 9*x + 14. Let l(t) = 10*t**3 - 4*t**2 + 4*t + 7. Let j(o) = -9*l(o) + 4*q(o). Differentiate j(u) with respect to u.
-18*u**2
Let m(k) be the first derivative of 8*k**3 - 24*k - 6. What is the derivative of m(y) wrt y?
48*y
Let t be 13/1 + -3 - 1. Find the first derivative of t*u**2 - 6*u**2 + 2*u**2 + 4 + 0 wrt u.
10*u
Let a(y) = 6*y**2 - 5*y + 4. Let c(z) = 7*z**2 - 4*z + 4. Let p(h) = -4*a(h) + 5*c(h). Differentiate p(i) wrt i.
22*i
What is the derivative of -83*i - 20 + 30*i + 25*i wrt i?
-28
Let f(u) = -15*u**2 - 10*u. Let k(o) = o**2 - o. Let v(p) = -3*f(p) + 6*k(p). Find the second derivative of v(w) wrt w.
102
What is the third derivative of -3*m**2 - 6*m**5 + 2*m**5 + 3*m**5 - 6*m**5 wrt m?
-420*m**2
Suppose -5*q = -2*k - 6, 7*k - 3*k = -2*q + 12. Let a be (2/(-4))/(1/(-6)). What is the first derivative of -k*v - a + 2 - 2 wrt v?
-2
Suppose h + 4*x = 24 - 1, 0 = 3*h - 3*x + 6. What is the third derivative of 0*b**2 - 7*b**2 + 5*b**h - 7*b**3 wrt b?
-12
Let g(n) = -n - 2. Let r be g(-4). Find the second derivative of -5*d - r*d**4 - d - d**4 + 0*d wrt d.
-36*d**2
Let u(b) = b**3 + 6*b**2 + 5*b + 7. Let j be u(-5). Let p = -5 + j. Find the third derivative of p*c - 3*c**5 - 2*c + 2*c**2 + 0*c wrt c.
-180*c**2
Suppose -2*b + b = -7. What is the first derivative of -p - 2 + 3 - b wrt p?
-1
Let m(o) = o**3 - 4*o**2 + o - 1. Let p be m(4). What is the second derivative of 4*u + p*u**2 - 4*u - u wrt u?
6
Let a = 9 + -1. Let p be (a/(2 + 0))/2. What is the second derivative of -2*k + 4*k - k + p*k**2 wrt k?
4
Let o(g) = -2*g + 3 - 5 + 3*g**2 + 10. Let v(m) = 7*m**2 - 5*m + 16. Let n(f) = 5*o(f) - 2*v(f). Differentiate n(j) wrt j.
2*j
What is the derivative of -42 + 10*k**3 + 60 + 3*k - 3*k wrt k?
30*k**2
Let y(j) = -3*j**3 + 2*j**2 - j + 2. Let g(z) = 11*z**3 - 9*z**2 + 3*z - 9. Let u(b) = 2*g(b) + 9*y(b). What is the second derivative of u(l) wrt l?
-30*l
Let t(q) be the first derivative of -q**4/24 - q**3/6 + q**2 + 3. Let c(z) be the second derivative of t(z). Differentiate c(d) with respect to d.
-1
Suppose 2*v = -5*b + 17, -v = v + 3*b - 15. Find the third derivative of 2*u**6 - 4*u**2 + 6*u**6 - 12*u**v wrt u.
-480*u**3
Let d(u) = 6*u**4 + 4*u**3 + 5*u**2 - 4*u. Let r(v) = 12*v**4 + 9*v**3 + 10*v**2 - 9*v. Let k(f) = -9*d(f) + 4*r(f). What is the third derivative of k(p) wrt p?
-144*p
Let g(v) = v + 8. Let b be g(-6). Find the first derivative of k**b + 3 + 7 - 3 wrt k.
2*k
What is the third derivative of -8*j**4 + 9*j**2 - 7*j**2 - 14*j**2 wrt j?
-192*j
Let r(g) be the third derivative of g**8/168 + g**4/4 - 15*g**2. What is the second derivative of r(v) wrt v?
40*v**3
Let f(o) = 6*o + 8. Let j(b) = 11*b + 15. Let q(u) = 5*f(u) - 2*j(u). Differentiate q(w) with respect to w.
8
Let i(l) be the third derivative of -3*l**8/112 - 2*l**5/15 + 5*l**2. What is the third derivative of i(g) wrt g?
-540*g**2
What is the third derivative of -16*v + 16*v - 40*v**6 - 41*v**2 + 16*v**2 wrt v?
-4800*v**3
Let z(w) be the second derivative of w**5/20 + w**3/3 - w**2 + 16*w + 2. What is the derivative of z(i) wrt i?
3*i**2 + 2
Let q be (-9)/(-2) - 2/4. Let t = -2 + q. Find the second derivative of u + u - 4*u - t*u**5 wrt u.
-40*u**3
Let a(y) be the first derivative of 0*y**2 + 2/5*y**5 + 0*y**3 - 3*y - 4 + 0*y**4. What is the first derivative of a(m) wrt m?
8*m**3
Let j(d) = -3*d**3 - 3*d - 2. Let f(n) = 17*n**3 + 18*n + 13. Let a(l) = 6*f(l) + 39*j(l). Find the second derivative of a(b) wrt b.
-90*b
Let r(b) = -12*b + 12. Let l(x) = 11*x - 13. Let s(z) = -6*l(z) - 7*r(z). What is the derivative of s(a) wrt a?
18
Let d(u) = u**3 + 7*u + 6. Let q = -1 - -4. Let a(i) = i + 1. Let b(s) = q*d(s) - 21*a(s). Differentiate b(f) wrt f.
9*f**2
Let z(v) = -v**5 + 2*v**2 + 2. Let d(r) = -4*r**5 + 6*r**2 - 16*r**3 + 16*r**3 + 7. Let i(s) = -2*d(s) + 7*z(s). What is the third derivative of i(w) wrt w?
60*w**2
Let g be 1 + 2 + 1 + -1. Let m = g + 1. Find the third derivative of -k**6 + 8*k**4 - k**2 - 8*k**m wrt k.
-120*k**3
Suppose -b = b - v - 6, 4*v + 2 = -3*b. What is the second derivative of -2*o - o**4 - o + o + b*o**4 wrt o?
12*o**2
Suppose -10 = -4*l + 4*n + 2, 2*l + 4*n = -12. Let r be (9/(-1))/(-3) - l. Find the second derivative of u - 4*u**2 + 4*u**2 - 2*u**r wrt u.
-12*u
Find the second derivative of 14*j - 5*j**3 - 22*j**3 - 16*j - 6 wrt j.
-162*j
Let x be (0/4)/(1 - 4). Let l(k) be the third derivative of -1/40*k**6 + x - 3*k**2 + 0*k**4 + 0*k + 0*k**5 + 1/3*k**3. What is the derivative of l(w) wrt w?
-9*w**2
Let y(o) = o**2 - o. Let s(a) = -17*a**2 + 11*a + 2. Let w(r) = -2*s(r) - 22*y(r). What is the derivative of w(f) wrt f?
24*f
Suppose u + 2*j - 11 = 0, -6*j + 2*j = -16. Find the third derivative of -s**2 + s**2 - 3*s**u + 3*s**2 wrt s.
-18
What is the first derivative of 7 - n**2 + n**2 - 3*n**3 - 4*n**3 wrt n?
-21*n**2
Let j(o) be the second derivative of o**7/105 - o**4/12 + o**2 + o. Let c(w) be the first derivative of j(w). What is the second derivative of c(b) wrt b?
24*b**2
Suppose 12*o = 14*o - 26. What is the derivative of -6 - o*x**3 + 2*x**3 + x**3 wrt x?
-30*x**2
Let d(b) = 17*b**3 - 11*b - 1. Let k(q) = -8*q**3 + 6*q + 1. Let a(y) = -6*d(y) - 11*k(y). Find the first derivative of a(r) wrt r.
-42*r**2
Suppose 5*r - 5*l = 60, -r - 3*l + 30 = 2*r. What is the second derivative of -r*y**4 - 52*y + 30*y + 26*y wrt y?
-132*y**2
Suppose f - 5*n + 21 = 0, -2*f + n = -f + 1. Differentiate 18*b**f - 32*b**4 + 1 + 17*b**4 wrt b.
12*b**3
Let k(i) = 3 + 3*i**3 + 0 + i + 2*i - 5. Let r(j) = 13*j**3 + 13*j - 9. Let b(d) = -9*k(d) + 2*r(d). Find the second derivative of b(n) wrt n.
-6*n
Find the third derivative of 19*r**4 - 3*r**2 + 5*r**2 + r**2 - 4