+ 16. Let x(q) = q**2. Let r(n) = k(n) + 3*x(n). What is the derivative of r(t) wrt t?
-48*t
Suppose 0 = -2*p + 2 + 2. What is the second derivative of 3*x**4 - p*x - x**4 + 3*x**4 - 3*x**4 wrt x?
24*x**2
Differentiate 10 - 8*y**4 - y**4 - 16 + 13 with respect to y.
-36*y**3
Differentiate -3*g + 0*g - 5 + 3*g - 3*g with respect to g.
-3
Let g(q) = -q**4 - q**3 - 1. Let f(s) = 3*s**5 + s**4 + s**3 + 5*s + 1. Let o(k) = 2*f(k) + 2*g(k). What is the second derivative of o(n) wrt n?
120*n**3
Suppose 0 = 3*r - 12, -12 = -3*d - d + 4*r. Let h = -4 + d. Differentiate -3 + 2*w**3 + 2 - w**h with respect to w.
3*w**2
Let l(q) be the second derivative of q**7/14 - q**4/2 + 8*q. What is the third derivative of l(w) wrt w?
180*w**2
Let u(z) be the second derivative of z**7/105 + z**5/60 - 3*z**2/2 - 3*z. Let r(v) be the first derivative of u(v). What is the third derivative of r(h) wrt h?
48*h
Suppose -b = -w + 2 - 3, -4*w - 4*b = -28. Suppose -q + 3*q - l = -w, q + 5*l - 15 = 0. Find the second derivative of 3*j + j + q*j - 2*j**2 - j wrt j.
-4
Let o(f) = 10*f - 7. Let w(u) = u. Let b(v) = -o(v) + 4*w(v). Find the first derivative of b(i) wrt i.
-6
Find the third derivative of -131*u**2 - 136*u**2 + 38*u**4 + 294*u**2 wrt u.
912*u
Let f(s) = 16*s**4 + 6*s**2 - 9*s - 6. Let y(k) = k**4 + k**2 - k - 1. Let a(h) = f(h) - 6*y(h). Find the second derivative of a(m) wrt m.
120*m**2
Let h(d) be the second derivative of d**7/6 - 7*d**3/6 + 2*d. Find the second derivative of h(x) wrt x.
140*x**3
Find the first derivative of 16*y**2 + 1 - 6*y**2 + 28 wrt y.
20*y
What is the derivative of -12*w + 12*w + 3 + 11*w**4 wrt w?
44*w**3
Let r = 4 - 2. What is the third derivative of -5*m**3 - r*m**3 - 5*m**2 + 2*m**3 wrt m?
-30
Let t(k) = 14*k**3 - 6*k**2 + 6*k. Let b(f) = -29*f**3 + 13*f**2 - 12*f. Let m(o) = -6*b(o) - 13*t(o). Find the second derivative of m(l) wrt l.
-48*l
Let t(n) be the third derivative of -9*n**6/40 + 10*n**3/3 + n**2. Differentiate t(z) wrt z.
-81*z**2
Suppose -3*z = -5 - 1. Let w(b) be the first derivative of b**z + 0*b**3 + 4 + 1/6*b**6 + 0*b**4 + 0*b + 0*b**5. What is the second derivative of w(o) wrt o?
20*o**3
Let s = -6 - -12. Find the third derivative of 3*l**4 - 5*l**2 + s*l**2 - 2*l**3 + 2*l**3 wrt l.
72*l
Let q(m) = m**3 - m. Let r(k) = 34*k**3 + 48*k**2 + k. Let z(c) = -q(c) - r(c). Find the third derivative of z(h) wrt h.
-210
Let z = -10 + 12. Find the second derivative of -8*v + 3*v - 2*v**2 + 2*v**3 + z*v**2 wrt v.
12*v
Let j = -26 + 29. Let z(n) be the first derivative of 1/2*n**2 + 2/3*n**j - 2 + 0*n. Find the second derivative of z(a) wrt a.
4
Find the second derivative of -5*t**5 + 11*t + 10*t - t**5 wrt t.
-120*t**3
Find the third derivative of -8*u**4 - 3*u**2 - 4*u**2 + 3*u**2 - 7*u**4 wrt u.
-360*u
Suppose 4 = 4*p - 8. Let n(s) = -s**3 - 5*s**2 - 6*s - 6. Let d be n(-4). Differentiate -f - d - f + p*f wrt f.
1
Let w be (-3)/((-9)/3) - -2. Find the first derivative of w + 2*t**4 + 1 - 2 + 1 wrt t.
8*t**3
Find the second derivative of -30*d + 2*d**2 + 24*d + 19*d**2 wrt d.
42
Suppose -5*z + 127 = 42. Find the first derivative of 9 - 6*y**3 - z + 11 wrt y.
-18*y**2
Let s(t) be the second derivative of 4*t**7/21 + t**4/2 - 3*t. What is the third derivative of s(n) wrt n?
480*n**2
Let o(l) = -3*l**2 - 10*l + 8. Let v(f) = -4 + 5 - 3 + 2*f**2 + 7*f - 3. Let j(u) = -5*o(u) - 8*v(u). What is the second derivative of j(g) wrt g?
-2
Let v(o) be the first derivative of -3*o**8/56 + 5*o**4/12 - 3*o + 3. Let i(h) be the first derivative of v(h). What is the third derivative of i(c) wrt c?
-360*c**3
Suppose -2 = -m + 2. Let a = m - 3. Find the third derivative of 2*p**2 + 1 + 2*p**3 - a wrt p.
12
Let p(j) be the first derivative of 0*j + 2 + 0*j**2 + 2/3*j**3 + 0*j**4 + 2/5*j**5. What is the third derivative of p(r) wrt r?
48*r
Suppose 0 - 5 = -d. Let p(z) = -1 - 2 + 2*z**2 - z**2 - d*z. Let x(n) = -n**2 + 7*n + 4. Let g(q) = 7*p(q) + 5*x(q). What is the derivative of g(f) wrt f?
4*f
Let c(g) be the first derivative of g**9/1008 + g**5/60 + 7*g**3/3 + 7. Let f(r) be the third derivative of c(r). Find the second derivative of f(u) wrt u.
60*u**3
Find the first derivative of -14*v - 7 - 13*v - 18 wrt v.
-27
Let p(r) = 9*r**2 - 4. Let g(z) = -16*z**2 + 7 - 2*z**2 - 2 + 8*z**2. Let j(d) = 2*g(d) + 3*p(d). What is the first derivative of j(x) wrt x?
14*x
What is the second derivative of 19*y + 14*y**5 + 2*y**5 - 6*y**5 wrt y?
200*y**3
What is the second derivative of 2 + 7*c**2 - 4 + 4*c + 2 wrt c?
14
Let m(y) be the first derivative of -9*y**7 + 5*y**3/3 - y**2/2 - 64. Find the third derivative of m(a) wrt a.
-7560*a**3
Let n(z) be the third derivative of 1/20*z**5 + 0 - 5/24*z**4 + 0*z + 0*z**3 + 2*z**2. What is the second derivative of n(c) wrt c?
6
What is the derivative of 3*x + 47 - 19 - 19*x wrt x?
-16
Let z(r) be the third derivative of r**8/1680 - r**7/1260 - r**4/4 + r**2. Let f(i) be the second derivative of z(i). Find the third derivative of f(k) wrt k.
24
Let u(k) be the third derivative of -29*k**6/120 + k**5/15 + 30*k**2. What is the third derivative of u(r) wrt r?
-174
Suppose -260 = -2*m - 3*m. Let g be (-4)/(-14) - m/(-14). What is the derivative of -2*n**4 + 0*n**4 - 1 + 4*n**g wrt n?
8*n**3
Suppose 4*a - 72 + 48 = 0. Suppose 3*c - 12 = -c. Find the second derivative of -3*u + 6*u**3 + a*u + u - c*u**3 wrt u.
18*u
Let n(q) be the third derivative of q**8/28 - 11*q**5/60 + 29*q**2. What is the third derivative of n(t) wrt t?
720*t**2
Let x be (0/(-2))/(-2 - -4). Let y(w) be the second derivative of 1/6*w**4 + 0 + x*w**3 + 1/10*w**5 + 0*w**2 + 2*w. What is the third derivative of y(u) wrt u?
12
Let x(i) be the third derivative of -7*i**6/120 + 7*i**5/60 - 3*i**2. Find the third derivative of x(q) wrt q.
-42
Differentiate -2 + 5 + 6*q**2 + 13*q**2 + 10 wrt q.
38*q
Let f be ((-2)/5)/((-6)/360). Let m be 1/(2/(-4)*-1). What is the second derivative of -24*h**m + 0*h + f*h**2 + h + h**5 wrt h?
20*h**3
Let s(v) = -36*v**3 + 19*v**2 + 4*v + 4. Let k(a) = 36*a**3 - 19*a**2 - 3*a - 3. Let j(z) = -4*k(z) - 3*s(z). What is the third derivative of j(l) wrt l?
-216
Differentiate -15 - 2801*v - 14 + 2834*v with respect to v.
33
Suppose 17*h - 8 = 13*h. Let p(r) be the second derivative of -1/3*r**4 - 3/20*r**5 - 4*r + 0*r**3 + 0*r**h + 0. Find the third derivative of p(a) wrt a.
-18
What is the second derivative of 3*f**2 + 2*f**3 + 0*f**3 - 33*f + 3 + 34*f wrt f?
12*f + 6
What is the third derivative of 14*a**2 + 8*a**4 + 0*a**2 + 6*a**4 wrt a?
336*a
Let o(g) be the second derivative of -7*g**6/30 + g**2/2 - 4*g. What is the first derivative of o(l) wrt l?
-28*l**3
What is the third derivative of -s**6 + s**2 - 2*s**6 + 7*s**6 wrt s?
480*s**3
Suppose 30 = -5*x + 5, 4*l - 9 = -3*x. What is the third derivative of r**6 - 4*r**6 + 2*r**2 - r**l wrt r?
-480*r**3
Let u(w) be the second derivative of -w**8/1680 + w**7/2520 + w**4/3 + w. Let i(x) be the third derivative of u(x). What is the third derivative of i(l) wrt l?
-24
Let m(y) be the first derivative of -4*y - 3 + 0*y**3 + 0*y**2 - 3/4*y**4. Differentiate m(f) with respect to f.
-9*f**2
Let l(j) be the first derivative of -12*j**7/7 - 5*j**3/3 + 14. What is the third derivative of l(x) wrt x?
-1440*x**3
Let h(c) = 1 - 2*c**4 - 1 + 4*c**4 + 3*c + 2. Let o(a) = -6*a**4 - 10*a - 7. Let m(t) = -7*h(t) - 2*o(t). What is the second derivative of m(r) wrt r?
-24*r**2
Let h(x) = -x + 1. Let l be h(1). Let d(s) be the first derivative of 1/3*s**3 + l*s - 2 + 0*s**2 + 0*s**4 + 1/5*s**5. Find the third derivative of d(w) wrt w.
24*w
Let w be 1*3/(-5)*-5. Suppose -2*a = -w*a. What is the second derivative of 4*q + a*q - 2*q - q**2 wrt q?
-2
Suppose 5*c - 2 - 23 = 0. What is the second derivative of c*w**3 - 2*w**3 - w**3 - w - w wrt w?
12*w
Let t be 3 - 1/(10/26). Let i(r) be the first derivative of -1 + r**3 + 0*r**2 + t*r**5 + 0*r**4 + 0*r. Find the third derivative of i(u) wrt u.
48*u
Find the third derivative of 35*z**2 - 39*z**2 + 7*z**5 - 3*z**5 wrt z.
240*z**2
Let s be (0 + 2 - 2)*-1. Let k(r) = -r**3 + 5. Let o be k(s). What is the third derivative of -m**2 - 2*m**o + 2*m**2 + m**5 wrt m?
-60*m**2
Let j(y) be the first derivative of -y**10/840 - y**6/60 - 4*y**3/3 - 7. Let b(g) be the th