h = p + -7. Differentiate -2*k**h + 1 + 1 - 4 wrt k.
-8*k**3
Let f(c) be the third derivative of 0*c**4 + 0*c**3 - 2/105*c**7 + 0*c + 0*c**6 + 1/20*c**5 + 0 - 6*c**2. Find the third derivative of f(m) wrt m.
-96*m
Let m = 11 - 8. Let f(z) = 11*z - 9. Let y(v) = -5*v + 4. Let k(o) = m*f(o) + 7*y(o). Differentiate k(n) wrt n.
-2
Let j(u) = 53*u**4 + 2*u**3 - 4*u - 2. Let a(g) = 53*g**4 + 3*g**3 - 3*g - 1. Let n(s) = -2*a(s) + 3*j(s). Find the second derivative of n(y) wrt y.
636*y**2
Let c(l) be the second derivative of 0 + 0*l**3 - l - 1/4*l**4 + l**2. What is the derivative of c(h) wrt h?
-6*h
Let y(g) = 18*g**4 - 4*g**3 + 4*g**2 + 11*g. Let a(d) = -18*d**4 + 5*d**3 - 4*d**2 - 12*d. Let n(v) = -4*a(v) - 5*y(v). Find the third derivative of n(l) wrt l.
-432*l
Let d(u) = -7*u**3 - 4*u**2 - 7*u. Let g(j) = j**2 - j. Let r(h) = d(h) + 4*g(h). What is the second derivative of r(t) wrt t?
-42*t
What is the second derivative of -17*h**2 + 36*h**2 - 17*h**2 - 4*h wrt h?
4
Let x = 2/161 + 157/322. Let n(r) be the first derivative of 0*r**3 + 0*r**5 + 0*r + 0*r**4 + x*r**6 - 1/2*r**2 - 2. Find the second derivative of n(h) wrt h.
60*h**3
Let m(l) = 3*l**4 + 2*l**3 - 2*l**2 + 3*l. Let u(h) = -2*h**4 - 3*h**3 + 3*h**2 - 4*h. Let c(y) = 3*m(y) + 2*u(y). Find the second derivative of c(x) wrt x.
60*x**2
Differentiate 14 + 5*d**4 + 2*d**3 + 0*d**3 - 73 + 4*d**3 with respect to d.
20*d**3 + 18*d**2
Let z(r) = r**3 - 3*r**2 + r + 4. Let v be z(3). What is the derivative of -16 + 14*q**3 - 5*q**3 + v wrt q?
27*q**2
Suppose -24 = 3*x - 3*f, -4*f + 14 = -3*x - 13. Let s = x - -8. Differentiate -s - 2*h**2 - 1 + 6 wrt h.
-4*h
Let q(z) = z - 6. Let j be q(8). What is the third derivative of -3*y**2 + 2*y**2 + 2*y**2 + j*y**5 wrt y?
120*y**2
Let u be ((-1)/(-2))/((-1)/(-28)). What is the first derivative of u*c - 2*c**2 - 3 - 14*c wrt c?
-4*c
Let o(z) be the second derivative of z**8/560 - z**5/120 - z**3/6 + z. Let n(k) be the second derivative of o(k). What is the second derivative of n(t) wrt t?
36*t**2
Suppose -5*i = -i - 36. Suppose -4*s + 41 = i. Differentiate -8*d**2 + s*d**2 + 2 + 2*d**4 wrt d.
8*d**3
Let z(s) be the second derivative of 43*s**5/20 + s**3/3 - 11*s**2/2 + 2*s + 34. Find the second derivative of z(m) wrt m.
258*m
Let q(c) be the second derivative of -5*c**4/6 - 11*c**3/6 - 8*c + 2. Find the second derivative of q(s) wrt s.
-20
What is the third derivative of 5*x**3 - 8*x**3 + x**3 - 2*x**2 wrt x?
-12
Suppose 3*s - 5*s = 0. Suppose 3*o + 3*p - 3 = -s*o, 5*p + 9 = 2*o. Differentiate 2*v**2 + 2 + o - 1 wrt v.
4*v
Let n(q) be the first derivative of -11*q**5/5 - 11*q**3/3 + 18. What is the third derivative of n(j) wrt j?
-264*j
Let w(d) be the third derivative of -d**9/18 + 29*d**5/60 + 9*d**2. What is the third derivative of w(b) wrt b?
-3360*b**3
Let p(k) = k**3 + 4*k**2 - 5*k + 2. Let i be p(-5). Find the second derivative of 4*j**2 - 3*j**2 - j**2 - j**5 + i*j wrt j.
-20*j**3
Let s(v) = -2*v - 5. Let z be s(-7). Suppose -21 = -4*f - z. Differentiate i**3 - 3*i**2 - f + 3*i**2 with respect to i.
3*i**2
Let q(n) be the second derivative of 2*n**4/3 - n**3/3 + 3*n**2 + 17*n - 3. Find the second derivative of q(l) wrt l.
16
Suppose 4*u = 35 - 7. Let p = u + -4. Differentiate -6 + 0*f**3 + 5 + 2*f**p with respect to f.
6*f**2
Suppose -3*u + 3 = 21. Let i be (-8)/u*3/2. Find the third derivative of -4*x - i*x**6 + 3*x**2 + 4*x wrt x.
-240*x**3
Find the second derivative of -2*x**2 + 14*x**3 + 15*x**3 - 43*x - 12*x**3 + x**3 wrt x.
108*x - 4
Let s(k) = 14*k**4 + 6*k. Let t(v) = -57*v**4 - 25*v. Let j(u) = 9*s(u) + 2*t(u). What is the second derivative of j(a) wrt a?
144*a**2
Let d(w) be the second derivative of w**5/2 + 5*w**4/4 - 2*w. Find the third derivative of d(q) wrt q.
60
Let q(o) be the first derivative of o**3/2 - o**2 - 2*o + 3. Let i(g) be the first derivative of q(g). What is the derivative of i(y) wrt y?
3
Let a(i) be the second derivative of -i**6/5 + 5*i**2 + 8*i. What is the first derivative of a(f) wrt f?
-24*f**3
Let s(r) = -17*r**2 - 3. Let a(p) = -16*p**2 - 3. Let c(x) = -4*a(x) + 3*s(x). Find the first derivative of c(h) wrt h.
26*h
Let f(p) = -10*p + 3. Let x(d) = -9*d + 2 + 5*d**4 + 8*d**4 - 14*d**4 + 2*d**4. Let y(j) = -2*f(j) + 3*x(j). Find the second derivative of y(h) wrt h.
36*h**2
Let j(s) be the third derivative of -1/336*s**8 + 0*s**4 + 0*s + 0*s**6 + s**2 - 1/60*s**5 + 0*s**7 + 0 + 0*s**3. What is the third derivative of j(b) wrt b?
-60*b**2
Let n(w) = w**3 + 13*w**2 + 11*w - 9. Let q be n(-12). What is the third derivative of -6*h**2 + 4*h**2 - 2*h**5 - q*h**5 + h**2 wrt h?
-300*h**2
Let b(p) = 39*p**3 + 5*p**2 - 19. Let m(w) = -19*w**3 - 2*w**2 + 10. Let k(u) = -2*b(u) - 5*m(u). Differentiate k(l) with respect to l.
51*l**2
Let a = 3 + -1. Find the third derivative of 0*g**3 + g**3 - 2*g**2 - 2*g**2 + 2*g**a wrt g.
6
Let w(y) be the third derivative of -2*y**7/105 + y**3/3 + 3*y**2. What is the first derivative of w(o) wrt o?
-16*o**3
Let h(v) be the first derivative of -13*v**6/6 - 14*v**3 + 8. Find the third derivative of h(c) wrt c.
-780*c**2
Let h = 10 + -7. Let b = -1 + h. Find the third derivative of j**2 - j**b + j**2 + 3*j**5 wrt j.
180*j**2
Let b(s) = s**3 - 11*s**2 + s - 8. Let f be b(11). What is the second derivative of 6*v + 0*v + 3*v**4 - f*v - 2*v**4 wrt v?
12*v**2
Let u(d) = -14*d**4 + 8*d**3 - 10*d**2 + 8*d. Let g(i) = -9*i**4 + 5*i**3 - 7*i**2 + 5*i. Let l(v) = 8*g(v) - 5*u(v). Find the third derivative of l(f) wrt f.
-48*f
Let y(n) = -n - 1. Let b(t) = -15*t + 10. Let s(z) = b(z) - 4*y(z). Let u(p) = 5*p - 7. Let g(h) = 4*s(h) + 7*u(h). What is the first derivative of g(k) wrt k?
-9
Let n be (2 - 3)/(1/(-2)). Let q be 4/(-6)*(-9)/n. What is the third derivative of -2*y**2 + 5*y**q + 3*y**2 - 4*y**3 wrt y?
6
Let y = 5 - 2. What is the third derivative of 2*n**y + 3*n**2 - 4*n**2 - 3*n**2 wrt n?
12
Let c(w) = 8*w**2 + 4*w - 1. Let p(d) = d**2 + d + 1. Let v(x) = -c(x) + 4*p(x). Find the first derivative of v(k) wrt k.
-8*k
Let q(y) = -42*y**2 + 21. Let r(i) = 41*i**2 - 20. Let v(k) = -4*q(k) - 5*r(k). What is the first derivative of v(t) wrt t?
-74*t
Let z(v) = -19*v**3 - 11*v**2 + 11*v + 17. Let j(n) = -9*n**3 - 6*n**2 + 6*n + 8. Let k(r) = 11*j(r) - 6*z(r). What is the first derivative of k(u) wrt u?
45*u**2
Let k be (-45)/20 - 2/(-8). Let c(v) = v**3 + 2*v**2 - v + 1. Let r be c(k). What is the second derivative of -3*p**r + 4*p - 3*p**3 + 3*p**3 - p wrt p?
-18*p
Find the first derivative of -93*d + 2 + 10 + 106*d wrt d.
13
Let n(w) = 13*w - 1. Let a(l) = -19*l + 2. Let f(q) = 5*a(q) + 8*n(q). What is the first derivative of f(u) wrt u?
9
Let s(h) = -h**3 + 4*h**2 + h. Let y be s(4). Find the third derivative of -z**4 - 3*z**2 + 2*z**4 + 0*z**y wrt z.
24*z
Let t(a) = 8*a**3 - 4*a**2 - 25*a - 2. Let f(m) = m**2 + m + 1. Let j(s) = 2*f(s) + t(s). Find the second derivative of j(c) wrt c.
48*c - 4
Let x = 10 - 2. What is the second derivative of 4*p**5 + 7*p - x*p**5 + p**5 wrt p?
-60*p**3
What is the first derivative of -19*n - 17*n + 14 + 21*n wrt n?
-15
Let f(c) be the second derivative of c**5/5 + 2*c**4/3 + 2*c. Find the third derivative of f(r) wrt r.
24
Let g(n) be the third derivative of -n**9/56 - n**5/20 + 6*n**2. Find the third derivative of g(d) wrt d.
-1080*d**3
Let s(f) = f**2 - 3*f + 6. Let n(t) = t**2 - t + 1. Let j(h) = h + 4. Let b be j(-5). Let x(a) = b*s(a) + 3*n(a). Differentiate x(k) wrt k.
4*k
Let t(z) be the third derivative of 0*z**4 + 1/2*z**3 + 0*z - 1/15*z**5 + 0 + z**2. Find the first derivative of t(b) wrt b.
-8*b
Suppose 25 = 5*f - 0*f. What is the third derivative of 82*c - 82*c - 5*c**2 + c**f wrt c?
60*c**2
Let v = -25 + 17. Let t be (v/2)/(-2) - -1. What is the second derivative of g**3 + 2*g + 0*g**3 + g**t wrt g?
12*g
Let j(x) be the third derivative of 4*x**5/15 + 11*x**4/24 - 4*x**2 + x. Find the second derivative of j(z) wrt z.
32
Let r(o) be the second derivative of 5*o**4/12 - 5*o**3/3 + 2*o. What is the second derivative of r(f) wrt f?
10
Let i(h) = 21*h + 19. Let x(w) = -w. Let z(v) = i(v) + 6*x(v). What is the first derivative of z(b) wrt b?
15
Suppose 0 = -4*q + 8, 4*l + l + 7 = q. Let k = l - -3. What is the third derivative of 2*v**k + v**2 - v**3 