z + 5*i - 15. What is the second derivative of -d**2 + 4 - u - 3*d + z wrt d?
-2
Let c(m) be the second derivative of 17*m**6/30 + 7*m**4/4 - 3*m. What is the third derivative of c(p) wrt p?
408*p
Let n(m) = -m**3 - 4*m**2 - 3*m + 3. Let v be n(-4). Suppose -w = 3*i - 11, 0 = -5*i - 0*i - w + v. Differentiate -3*r + r - i + 2*r - 3*r wrt r.
-3
Let b(x) be the third derivative of 2*x**6/15 - 11*x**5/60 - x**3/6 - 2*x**2 - 1. What is the third derivative of b(u) wrt u?
96
Let a(k) be the third derivative of -2/15*k**5 + 0*k**7 + 0*k**3 - 1/56*k**8 + 0*k**4 + 0*k**6 + 0 + 0*k + 5*k**2. Find the third derivative of a(b) wrt b.
-360*b**2
Let u(j) = 18*j**4 + 7*j**2 - 7*j + 10. Let m(r) = -6*r**4 - 2*r**2 + 2*r - 3. Let n(d) = -7*m(d) - 2*u(d). Differentiate n(k) wrt k.
24*k**3
Let d(x) = -x**2 + 9*x - 6. Suppose -3*h - 4*u + 1 = -23, 5*u + 16 = 2*h. Let f be d(h). Differentiate -2*l**4 + l**2 + 2 - l**f wrt l.
-8*l**3
Suppose -g - 2*d + 5 = -0*g, -g = -4*d - 17. Differentiate 11 + g - 12 - 10*j wrt j.
-10
Let l(x) be the third derivative of 0*x**3 - 1/30*x**5 + 0 + 0*x**4 - 3*x**2 + 0*x + 1/60*x**6. What is the third derivative of l(d) wrt d?
12
Differentiate -18*t**2 + 0 + 11*t**2 - 5 - 2 with respect to t.
-14*t
Suppose -2 = 4*i - 5*i. Let y = i + 0. What is the third derivative of -2*f**5 - 3*f**2 + f**5 - y*f**2 wrt f?
-60*f**2
Let u = -18 - -22. Differentiate 8*l**u - 8 + 0*l**4 + 2 wrt l.
32*l**3
Let s(h) be the second derivative of h**8/2240 - h**7/2520 - h**4/12 - h. Let w(p) be the third derivative of s(p). What is the third derivative of w(f) wrt f?
18
Suppose z - 27 = 5*q, z - 3*z - q - 1 = 0. Find the second derivative of 4*t**2 + z*t + t**2 - 3*t - 3*t**2 wrt t.
4
Suppose 4*w - 16 = -0. Let v(o) be the second derivative of 1/6*o**w - 2*o + 0*o**3 + 0 + 1/2*o**2. Differentiate v(a) wrt a.
4*a
Let m(g) = 23*g**3 - 22. Let n(u) = 11*u**3 - 11. Let s(f) = -4*m(f) + 9*n(f). What is the derivative of s(c) wrt c?
21*c**2
What is the third derivative of 248*y**6 - 251*y**6 - 17*y**2 + 5*y**2 wrt y?
-360*y**3
Find the third derivative of -2149*k**3 - 49*k**2 + 7*k**6 + 2149*k**3 wrt k.
840*k**3
Let l be -2 - (2/1 - 6). Let o = l - -2. What is the first derivative of -4*a**4 - a**4 + 7*a**o - 1 wrt a?
8*a**3
Let x(m) = -34*m**5 + 11*m**2 - 5*m + 5. Let h(r) = -34*r**5 + 12*r**2 - 4*r + 4. Let i(u) = 5*h(u) - 4*x(u). Find the third derivative of i(c) wrt c.
-2040*c**2
Let q(x) = -x**2 - 8*x - 9. Let a be q(-6). What is the first derivative of 2 + 10*c - 3*c**a - 10*c wrt c?
-9*c**2
Let s(w) be the first derivative of 3*w**4/2 + 3*w**2 + 8. Find the second derivative of s(d) wrt d.
36*d
What is the second derivative of 5*b - 2*b**3 - 3*b - b wrt b?
-12*b
Let b be (-4)/(-2) + -5 + 0. Let g be (-11)/b + 8/(-12). What is the first derivative of 0*d + d - 4 + g wrt d?
1
Let u(q) be the third derivative of q**8/168 - q**4/2 + 9*q**2. What is the second derivative of u(v) wrt v?
40*v**3
Find the second derivative of 10*z**2 - 36*z + 12*z + 15*z**2 - z**2 wrt z.
48
Let z(g) = -g**2 - 5*g + 8. Let t be z(-6). What is the third derivative of 4*l**t + 3*l**2 - 11*l**2 + 2*l**2 + 2*l**5 wrt l?
120*l**2
Let a be 1 + -3 + (-4)/(-1). What is the third derivative of -3*m**2 + 3*m**4 + m**a - 2*m**4 wrt m?
24*m
Let b(d) be the third derivative of -d**5/60 + d**4/3 + 7*d**2. What is the second derivative of b(h) wrt h?
-2
Let l(z) be the third derivative of -3*z**5/20 - z**4/8 + 3*z**2. What is the second derivative of l(n) wrt n?
-18
Suppose -i - 2*i = -15. Find the second derivative of -l**5 - l**5 - 5*l + l**i wrt l.
-20*l**3
Let o = -10 + 12. Find the first derivative of -8 - 30*j**2 + 22*j**2 + o wrt j.
-16*j
Suppose -2*s - y = -0*y, -y = s + 2. Find the second derivative of -h + h**2 + 2*h + s*h**2 wrt h.
6
Let f = 8 - 5. Find the second derivative of 3*h**3 + 0*h + f*h**3 - h**3 - 2*h wrt h.
30*h
Let s(o) = -4*o**3 - 2*o + 5. Let i(k) = 25 - 19*k**3 - 11*k + 55*k**2 - 55*k**2. Let a(b) = -2*i(b) + 11*s(b). What is the derivative of a(h) wrt h?
-18*h**2
Differentiate -3*m**2 + m**2 - 7*m**2 - m**2 + 7 with respect to m.
-20*m
Let o(k) = k**3 - k. Let s(j) = -2*j + j**3 + 0*j**3 + j**2 + 0*j**2 + 3*j**2. Let i(v) = 2*o(v) - s(v). Find the third derivative of i(g) wrt g.
6
Let q(v) be the first derivative of 7*v**3/3 + 7*v**2/2 - 1. What is the second derivative of q(o) wrt o?
14
Let i(n) be the third derivative of -n**6/120 + n**4/24 - n**3/6 + 5*n**2. Let c(v) be the first derivative of i(v). Differentiate c(x) wrt x.
-6*x
Suppose 0 = 2*t - 3*c - 13, -3*c - 1 = 5*t - 2. What is the derivative of 1 + 0 + 6 - t + 4*l wrt l?
4
Let h(a) be the first derivative of 17*a**6/3 - 47*a**2/2 - 46. Find the second derivative of h(l) wrt l.
680*l**3
Let p(q) = -50*q**2 - 64*q. Let z(s) = 17*s**2 + 21*s. Let b(x) = -5*p(x) - 16*z(x). Find the second derivative of b(n) wrt n.
-44
Let a(s) be the second derivative of -29*s**5/20 + s**3 + 29*s. What is the second derivative of a(q) wrt q?
-174*q
Let c(d) = -61*d**6 - 69*d**2 - 13*d. Let m(z) = -30*z**6 - 35*z**2 - 6*z. Let o(v) = -6*c(v) + 13*m(v). Find the third derivative of o(i) wrt i.
-2880*i**3
Let q be (-5)/(-4) + 2/(-8). Let y be -2 + 3 - (q - 2). What is the second derivative of -v + 0 + y*v**2 + 0 wrt v?
4
Let j(k) be the third derivative of k**8/560 + k**6/90 - k**3/6 - 5*k**2. Let i(y) be the first derivative of j(y). Find the third derivative of i(g) wrt g.
72*g
Let t(u) = u**2 + 6*u + 6. Let a be t(-6). Find the second derivative of 4*l**3 - a + 18 - 12 + 3*l wrt l.
24*l
Let a(m) = m**3 + 9*m**2 - 11*m - 8. Let t be a(-10). Differentiate -3*f**3 + t*f**3 + 5 - 8*f**3 + 2 wrt f.
-27*f**2
Let n(j) be the first derivative of -j**6/2 + 2*j**3 - 7. What is the third derivative of n(l) wrt l?
-180*l**2
Suppose -2*o - 2*o = 0, -3*q = -3*o - 18. What is the second derivative of 7*i + 0*i - i + 0*i - q*i**2 wrt i?
-12
Differentiate 3*f**3 + 22 - 3*f**3 + 12*f**3 with respect to f.
36*f**2
Let s(m) = -1. Let t(g) = -5*g**3 + 7*g**2 + 5. Let n(w) = 5*s(w) + t(w). What is the third derivative of n(x) wrt x?
-30
Let g = 4 - 10. Let i = -2 - g. What is the derivative of r**2 - 4*r**2 - i + 0*r + 0*r wrt r?
-6*r
Let z(i) be the first derivative of 3*i**5/5 + 9*i**2/2 - 8. Find the second derivative of z(v) wrt v.
36*v**2
Let a(d) = d + 0 + 0. Let x(n) = -n**2 + 2*n + 1. Let c be 2*(-1 + (-2)/(-1)). Let h(g) = c*a(g) - x(g). Find the first derivative of h(s) wrt s.
2*s
Let b(p) = -p - 12. Let w(t) = -2*t - 24. Let v(g) = -7*b(g) + 3*w(g). What is the derivative of v(f) wrt f?
1
Suppose 2*a - 6 = 0, -2*h - 3*h + 5*a = 5. What is the third derivative of -h*i**2 + i**2 - i**6 - 2*i**2 + i**2 wrt i?
-120*i**3
Let z(u) be the third derivative of u**7/42 - u**5/60 - 6*u**2. Find the third derivative of z(k) wrt k.
120*k
Let k(o) = -1 + 4*o - 5*o + 0*o. Let w(b) = 3. Let n(r) = 1. Let d(q) = -4*n(q) + w(q). Let v(m) = -d(m) + 4*k(m). What is the first derivative of v(x) wrt x?
-4
Let v(k) be the first derivative of 0*k**4 + 2/5*k**5 + 0*k**3 - 3/2*k**2 - 1 + 0*k. What is the second derivative of v(q) wrt q?
24*q**2
Let z = 15 - 15. Let g(k) be the third derivative of 2*k**2 + 0*k + 1/30*k**5 + z*k**4 + 0 - 1/3*k**3. Find the first derivative of g(y) wrt y.
4*y
Let o be 7 - -3*1/(-3). Suppose 3*l - 4 = o*l - 4*y, y - 1 = -3*l. What is the second derivative of m**2 + l*m**2 - 2*m + m**3 - m**2 wrt m?
6*m
Let a(h) be the first derivative of h**6/40 - h**3/3 + 3*h**2/2 + 4. Let g(z) be the second derivative of a(z). Find the first derivative of g(q) wrt q.
9*q**2
Let i(d) be the second derivative of -d**3/3 - 18*d**2 + 17*d. Find the first derivative of i(t) wrt t.
-2
Suppose 0 = m - q - 0*q - 1, 5*q - 11 = -3*m. What is the third derivative of -z**5 + m*z**5 - z**2 - 5*z**5 + 2*z**5 wrt z?
-120*z**2
Let l = 0 - 7. Let o = 10 + l. Differentiate 1 - 4*j**o + 2*j**3 + 6*j**3 with respect to j.
12*j**2
Let d = 2 - 2. Suppose -5*o + 15 = 4*i, 5*i + 9 = 3*o - d. Differentiate -o*j + 0*j + j + 2 wrt j.
-2
Let y(h) be the second derivative of 7*h**5/10 + h**2/2 + 13*h. What is the derivative of y(v) wrt v?
42*v**2
Let i(p) = 6*p + 5. Let r(o) = 7 + 2 - 2 + 7*o - 2. Let f(l) = 5*i(l) - 4*r(l). What is the derivative of f(s) wrt s?
2
What is 