 + 4, -i - 15 = -3*y. Let d(m) = -m**3 - 3*m**2 - m. Let z be d(-3). What is the derivative of -z - c**y + 3 + 2 wrt c?
-4*c**3
Let v(p) = -p**4 - 2*p**2 + 3. Let k be (-2)/(-5) + (-51)/15. Let o(t) = t**4 + t**2 - 1. Let y(x) = k*v(x) - 6*o(x). Differentiate y(q) with respect to q.
-12*q**3
Let s be 1 - (0 + 2)*3/(-2). Let y(c) = c - 1. Let a be y(3). Differentiate -4 + a + 2*l**s - l**2 + l**2 with respect to l.
8*l**3
Suppose 2*s + 3*x = 9, x - 13 = -3*s - 3*x. What is the second derivative of -y**3 - 3*y**3 + 3*y**3 + s*y - y**3 wrt y?
-12*y
Let l be 0 - (-4 + 2 + -4). Let i be 2/l + (-16)/(-6). Find the second derivative of 5*y**4 - y + 2*y + 2*y - i*y**4 wrt y.
24*y**2
Suppose 3*l = 2*o + 7, l - o - 3*o = -1. What is the first derivative of 4*i**3 - 7*i**3 - 5*i**l - 9 wrt i?
-24*i**2
Find the first derivative of -7*y - y + 11*y - 12*y - 48 wrt y.
-9
Differentiate -65*o**4 - 21 + 25*o**4 + 25*o**4 wrt o.
-60*o**3
Let a(g) be the first derivative of 3*g**7/7 - g**4/2 - 40*g**3/3 + 41. What is the third derivative of a(b) wrt b?
360*b**3 - 12
Let c(u) = 4*u**2 + u + 5. Let l be c(4). What is the second derivative of -3*a**4 - 75*a + l*a + 0*a**4 wrt a?
-36*a**2
Find the second derivative of -7 + 2 + 1 + 35*q + 2 + 53*q**2 wrt q.
106
Let h = 23 - 12. What is the third derivative of -v**6 - 2*v - 7*v**2 + 2*v + h*v**2 wrt v?
-120*v**3
What is the second derivative of -1 - 60*v + 1 - 35*v**2 + 47*v wrt v?
-70
Let b(i) be the first derivative of -3*i**5/5 - 2*i**3/3 + 17*i**2/2 + 29. Find the third derivative of b(o) wrt o.
-72*o
Let u be ((-1)/(-3))/(4/36). Let t(z) be the first derivative of 3/2*z**2 + 0*z - 3 + 1/3*z**u. Find the second derivative of t(x) wrt x.
2
Let n be (-4)/(-10) + 39/15. Suppose -2*u - n*u + 20 = 0. What is the third derivative of u + v**3 - v**2 - 4 wrt v?
6
Suppose -5*o + 2*o - 3*g = 9, 5*g = o + 27. Let a = 11 + o. Find the third derivative of -2*n**3 - n**2 - a*n**2 + 6*n**2 wrt n.
-12
Let b(o) be the second derivative of o**7/840 + 7*o**5/120 + o**3/2 + o. Let a(g) be the second derivative of b(g). What is the second derivative of a(i) wrt i?
6*i
Let z(u) = u**3 - u. Let c(n) = 16*n**3 - n**2 + 2*n - 3. Let q(p) = -3*c(p) - 6*z(p). What is the third derivative of q(i) wrt i?
-324
Let z(t) be the first derivative of -2*t**2 - t + 5 + 0 - 6*t + 4*t. Find the first derivative of z(g) wrt g.
-4
Find the first derivative of -19*s**4 + 33 - 16*s**4 + 23*s**4 wrt s.
-48*s**3
Suppose -5*t - 4 + 14 = 0. Find the second derivative of 0*h**t + 4*h**4 + 2*h - 2*h**2 + 2*h**2 wrt h.
48*h**2
Suppose 5*j - 30 = -2*i, 3*i + 15 = 6*i. Let k = -3 - -3. Find the second derivative of -j*u + k*u**5 - 4*u**5 + 2*u**5 wrt u.
-40*u**3
Let g be (-1)/(0 - 3/12). Let h = 4 - g. What is the second derivative of -4*j**2 + 5*j**2 + j + h*j**2 wrt j?
2
Let l be 6/(1*(-6)/4). Let o = 6 + l. What is the third derivative of 3*y**2 + 6*y**2 - 8*y**o - y**6 + 3*y**6 wrt y?
240*y**3
What is the second derivative of -y + 6*y**3 + 4*y**3 - 4*y - 2*y wrt y?
60*y
Suppose 4*z - 24 = 28. Suppose 3*p = 2 + z. What is the second derivative of 0*o**p - 2*o**5 - o + 2*o wrt o?
-40*o**3
What is the first derivative of -3*j**4 - 3 - 2*j**3 + 0*j**3 + 2*j**3 wrt j?
-12*j**3
Let g(f) be the third derivative of 2*f**2 + 0*f**3 + 0 + 1/40*f**6 + 0*f**5 - 1/8*f**4 + 0*f. Find the second derivative of g(n) wrt n.
18*n
Find the third derivative of 48*o**6 + 23*o**2 - o**2 + 22*o**2 wrt o.
5760*o**3
Let f(h) = h**3 - 5*h**2 + h - 2. Let n be f(5). Suppose -7*g + 16 = -n*g. Differentiate 2*w**4 + 2*w**4 - 2*w**g + w**4 - 3 with respect to w.
12*w**3
Let z(c) be the first derivative of c**5/10 + c**4/6 + 2*c - 3. Let t(v) be the first derivative of z(v). Find the third derivative of t(m) wrt m.
12
Find the third derivative of -3*j**2 + 3*j**5 + 2*j**2 + 6*j**2 wrt j.
180*j**2
Let j(f) = -4*f. Let u be j(0). Let y(i) be the third derivative of u*i**4 + 0 + 0*i - 1/6*i**3 - 1/30*i**5 - i**2. What is the derivative of y(v) wrt v?
-4*v
Find the second derivative of -18*x**2 - 19*x**2 + 43*x**2 - 9*x wrt x.
12
Let i(k) be the second derivative of k**6/720 - k**5/120 - k**4/12 + 4*k. Let h(b) be the third derivative of i(b). Differentiate h(l) wrt l.
1
Suppose -3*x - 5 = 4*b, -3 = x + 2*x + 3*b. Let u(g) = 3*g**2. Let c be u(x). What is the second derivative of -2*j**c + 4*j**3 - 2*j - j**3 wrt j?
6*j
Let q(d) be the second derivative of -d**6/15 + 4*d**5/5 - 29*d**4/12 - 2*d + 16. Find the third derivative of q(m) wrt m.
-48*m + 96
Let l be ((-2)/(-4))/((-1)/(-4)). Let n be 2/3 + (-7)/(-3). What is the third derivative of 3*g**n - 5*g**3 + g**l + 0*g**3 wrt g?
-12
Let q = -9 - -5. Let a(k) = -3*k**3 + k**2 + 4*k - 4. Let f(b) = 4*b**3 - 2*b**2 - 5*b + 5. Let t(j) = q*f(j) - 5*a(j). Find the third derivative of t(s) wrt s.
-6
Suppose -3*z = 21 - 9. Let u be 5/1 - z/(-2). Differentiate t**2 + u*t + 2 - 3*t with respect to t.
2*t
Let c(w) be the second derivative of 5*w**4/12 - 3*w**3/2 - 9*w. What is the second derivative of c(t) wrt t?
10
Let p(g) be the third derivative of 0*g - 1/6*g**4 + 1/20*g**5 + 0 + 2*g**2 + 0*g**3. What is the second derivative of p(b) wrt b?
6
Let k(c) = c**2 + 4*c + 7. Let p be k(-5). Let v be p/5 + 10/(-25). Find the third derivative of -d**5 + d**5 - d**6 + d**2 - 2*d**v wrt d.
-120*d**3
Let l(c) be the third derivative of -4*c**5/15 - 3*c**3 + 13*c**2. Find the first derivative of l(n) wrt n.
-32*n
Let b = -1 - -4. Let y(k) be the second derivative of 0*k**2 + 0 + 1/3*k**b + 1/12*k**4 - k. What is the second derivative of y(u) wrt u?
2
Suppose 0 = g + 4*g - 5. What is the derivative of -s - g + s - 3*s**4 + 2 wrt s?
-12*s**3
Let g(z) = -67*z**4 + 53*z - 5. Let n(f) = -101*f**4 + 80*f - 7. Let w(a) = 7*g(a) - 5*n(a). What is the second derivative of w(p) wrt p?
432*p**2
Let x(c) = c + 3. Let u be x(-3). What is the derivative of 1 - 2*h**2 + u + 3 - 2*h**2 wrt h?
-8*h
Let f be (1 + 3)*2/4. Let j = 4 + f. What is the first derivative of j*t + 1 + 0 - 5*t - 2*t wrt t?
-1
Let j(k) = k. Let n be j(5). Let t = -2 + n. What is the second derivative of 2*l**t - 4*l + 4*l - l wrt l?
12*l
Suppose -2*m - 3*m = -15. Suppose 0 = s + 4*s - 5, -8 = -m*c + s. Differentiate c - 3*h**2 - 4*h**2 + 5*h**2 with respect to h.
-4*h
Let h(l) be the third derivative of -1/24*l**4 + 1/112*l**8 + 0*l**5 + 0 + 0*l**7 + 0*l**3 - l**2 + 0*l + 0*l**6. Find the second derivative of h(w) wrt w.
60*w**3
Let a(f) be the second derivative of -f**4/12 - 5*f**3/6 + 3*f**2 + 3*f. Let c be a(-6). What is the first derivative of c + v - 1 - 3*v wrt v?
-2
Find the second derivative of -77*h**4 + 75*h**4 - 3*h**3 + 7*h + 3*h**3 wrt h.
-24*h**2
Let a(d) = -d**3 - d**2 - d + 1. Let h(w) = -12*w**3 + 14*w**2 - 10*w + 10. Let p(m) = 10*a(m) - h(m). What is the third derivative of p(c) wrt c?
12
Let b(v) be the first derivative of -5*v**6/6 + 3*v**2/2 - 6. What is the second derivative of b(x) wrt x?
-100*x**3
What is the derivative of -2*f**2 - 3*f**2 + 4*f**2 - 5*f**2 + 7 wrt f?
-12*f
Let h(j) be the second derivative of -j**8/336 + j**5/30 + j**2 + 3*j. Let x(u) be the first derivative of h(u). What is the third derivative of x(r) wrt r?
-60*r**2
Let x(w) = -5*w**6 + 4*w**4 - 2*w**3 - 9*w**2 + 4*w + 5. Let k(c) = c**4 - c**3 + c + 1. Let z(p) = -4*k(p) + x(p). What is the third derivative of z(b) wrt b?
-600*b**3 + 12
Let y(l) = -24*l**3 + 2*l**2 - 2*l + 20. Let p(f) = -121*f**3 + 10*f**2 - 11*f + 101. Let m(k) = 2*p(k) - 11*y(k). What is the first derivative of m(a) wrt a?
66*a**2 - 4*a
Let x be (-5)/3*(2 + -8). Suppose -x = 6*c - 4*c + 4*y, -y = 4. What is the first derivative of -c*k**2 - 1 + 3*k**2 + 0*k**2 + k**4 wrt k?
4*k**3
Suppose -4*h - 2*t = 0, -3*h + 2*h - 4*t - 14 = 0. What is the third derivative of -1 + g**2 - 2*g**h + 1 + 2*g**5 wrt g?
120*g**2
Let b = 18 - 14. What is the derivative of 14*m**b + 4 + 2*m**3 - 2*m**3 - 8*m**4 wrt m?
24*m**3
What is the third derivative of -7*a**4 + 2*a**3 - 18*a**2 + 23*a**2 - 2*a**3 wrt a?
-168*a
Suppose 4*k = 3*k + 1. Let n be -2*k/(0 + -1). Find the second derivative of 0*v - v + 0*v**4 + n*v**4 - 3*v**4 wrt v.
-12*v**2
Let a(n) be the second derivative of -6*n + 1/3*n**4 + 0*n**2 + 1/15*n**6 + 0*n**5 + 0 + 0*n**3. What is the third der