 u(k) = -k**2 - 1. Let l(c) = -c**3 - c**2 - 22. Let f(q) = -l(q) + u(q). What is the derivative of f(z) wrt z?
3*z**2
Find the first derivative of 37 + 28*y + 9*y + 11*y wrt y.
48
Let b(h) be the first derivative of -2*h**2 + 9*h + 22. Find the first derivative of b(j) wrt j.
-4
Let i be (6/(-5))/((-12)/30). Find the second derivative of 0*b**3 - 2*b + i*b**3 + 4*b - 5*b wrt b.
18*b
Let a(k) be the third derivative of -23*k**6/120 - 5*k**4/4 - 20*k**2. What is the second derivative of a(h) wrt h?
-138*h
Let s be (2*-1)/((-4)/44). What is the first derivative of 4*q**3 - s*q**2 + 22*q**2 + 3 - 5*q**3 wrt q?
-3*q**2
Find the third derivative of -w**2 + 13*w**5 - 87 + 87 - 8*w**2 wrt w.
780*w**2
Suppose 0 = -3*p, u + 0*u - 5*p = 4. Find the third derivative of -8*k**2 + 3*k**3 - k**3 + 5*k**3 - u*k**3 wrt k.
18
Let h(x) = -x**4 + x**3 - x**2. Let t(a) = a**4 - 4*a**3 + 4*a**2 - 3. Suppose 7 + 1 = 2*f. Let l(q) = f*h(q) + t(q). Find the first derivative of l(b) wrt b.
-12*b**3
Let q(h) be the third derivative of h**6/60 + h**5/15 - 7*h**2. What is the third derivative of q(i) wrt i?
12
Let m(u) be the first derivative of -5*u**4/2 - 26*u - 35. Differentiate m(c) with respect to c.
-30*c**2
Let u = -72 + 104. Find the third derivative of u*b**6 - 30*b**6 - 3 + 3 - 8*b**2 wrt b.
240*b**3
Let y(d) = -1. Let v(h) = h. Let s be v(2). Let u(m) = m - 6 + 0*m - s*m. Let i(t) = -u(t) + 3*y(t). What is the derivative of i(n) wrt n?
1
Let o(t) be the second derivative of -t**5/60 - t**3/2 + t**2 - 2*t. Let n(b) be the first derivative of o(b). What is the first derivative of n(s) wrt s?
-2*s
Find the third derivative of -102*z**6 + 121*z**6 + 2*z**2 - 4*z**3 + 4*z**3 wrt z.
2280*z**3
Let q(r) = 6*r**3 - 4*r - 5. Let f(t) = t**2 + 1. Let y be f(0). Let z(w) = -w**3 + w + 1. Let m(p) = y*q(p) + 4*z(p). Find the first derivative of m(b) wrt b.
6*b**2
Let l(i) = i**3 - i. Let r(g) = -g**5 + 3*g**3 + 9*g**2 - 3*g. Let t(c) = -3*l(c) + r(c). What is the third derivative of t(k) wrt k?
-60*k**2
Find the third derivative of 3*m**2 - 4*m**2 - 9*m**3 + 2*m**3 wrt m.
-42
Let q be (-4)/(-10) - 54/(-15). What is the derivative of q - a**4 + 5*a**2 - 2*a**2 - 3*a**2 wrt a?
-4*a**3
Suppose -6 = -4*q - 2. Differentiate 7*b**3 - q + 0*b**3 + 1 + 3 with respect to b.
21*b**2
Let l(k) = -k**3 + 4*k**2 - 2*k - 2. Let b be l(2). Find the third derivative of -n**4 - n + n + 0*n**2 + n**b wrt n.
-24*n
Let f(t) be the second derivative of -t**7/210 + t**6/90 + 5*t**3/6 - t. Let g(l) be the second derivative of f(l). What is the third derivative of g(h) wrt h?
-24
Suppose 5*y - 5*h = -10*h + 35, 3 = 3*y - 3*h. Let a be ((-1)/(-1))/(4/8). Find the third derivative of y*m**a - m**2 - m**2 - m**6 wrt m.
-120*m**3
Let i(x) be the second derivative of -x**3/2 + 5*x**2/2 - 2*x. Differentiate i(q) wrt q.
-3
Let y(x) be the first derivative of -50*x**3/3 - 3*x**2 - x + 15. What is the second derivative of y(j) wrt j?
-100
Let g(j) be the first derivative of -j**6 + 10*j**3/3 - 6. Find the third derivative of g(z) wrt z.
-360*z**2
Let q be (2 - (-4 - -6))/(-2). Let z(w) be the first derivative of w + 0*w**4 - 1/5*w**5 + q*w**2 + 0*w**3 - 2. Find the first derivative of z(s) wrt s.
-4*s**3
Let f(h) = 10*h + 17. Let s(n) = 39*n + 69. Let r(q) = -9*f(q) + 2*s(q). What is the derivative of r(l) wrt l?
-12
Suppose -2*f - 2 = -8. Suppose 0 = -u + f - 0. What is the third derivative of -u*b + 3*b - 2*b**3 - b**2 wrt b?
-12
Suppose -5*y - 7 + 28 = 3*j, -19 = -2*j - 5*y. Let m be j/(-3) - 119/(-21). Find the second derivative of 14*a - a**3 + m*a**3 - 10*a wrt a.
24*a
Suppose -5*k - 4*z + 50 = 0, -3*z - 9 = k - 5*k. What is the second derivative of 9*x**4 - 5*x**4 + 7*x + k*x**5 - 4*x**4 wrt x?
120*x**3
Let r be 0/((-3)/(2 - -1)). Let p be (r - 2/6)*-9. Find the first derivative of 5*z - 4*z - 1 - p*z + 3*z wrt z.
1
Let q = 26 - 4. Let f = 9 - 7. What is the third derivative of -3*n**f + 0*n**3 + 0*n**3 - 25*n**4 + q*n**4 wrt n?
-72*n
Suppose 4*l + 36 = 5*i, -2*l - 8 + 4 = i. Suppose 0*c + i = 2*c. What is the second derivative of c*p - 4*p + 3*p - 2*p**5 wrt p?
-40*p**3
Let b(q) = -27*q**3 + 11*q - 1. Let r(x) = -7*x**3 + 3*x. Let p(m) = 6*b(m) - 22*r(m). Differentiate p(z) with respect to z.
-24*z**2
Let h(f) be the second derivative of 0*f**3 + 0*f**5 + 0*f**6 + 0 - 2/3*f**4 + 0*f**2 + 5/21*f**7 + 5*f. Find the third derivative of h(o) wrt o.
600*o**2
Let b(h) = 3*h - 3. Let o(y) = 2*y - 1 - 3 + 5 - 4*y. Let w(u) = 4*b(u) + 7*o(u). Differentiate w(t) with respect to t.
-2
Suppose -2*p = -7*p + 90. Let f be p/(-3)*(-2)/4. Differentiate -2 - 4*u + u**f + 4*u with respect to u.
3*u**2
Let z = -1 + 3. Let o(x) = x**2 - 3*x**3 - x**2 - z*x - 5. Let r(f) = -2*f**3 - f - 3. Let q(n) = 6*o(n) - 10*r(n). What is the second derivative of q(s) wrt s?
12*s
Let n = 10 - 6. Let f = n - 2. What is the second derivative of 2*t**3 - 2*t - f*t**3 - 2*t**3 wrt t?
-12*t
Let n = -1 - -2. Suppose -d = 4*m - 2, 0 = 2*d - 3*m - 3 - n. Find the third derivative of 0*w**2 + d*w**4 - 3*w**2 + 4*w**2 wrt w.
48*w
Let b(a) = -a**4 + a**3 - a**2 + a - 1. Let z(m) = 3*m**4 + 3*m**3 - 3*m**2 - 21*m - 3. Let w(f) = -3*b(f) + z(f). Find the second derivative of w(n) wrt n.
72*n**2
Let f(n) = 2*n**3 + 1 + 3*n**2 + n**3 - 2*n**2 - 2*n. Let a be f(1). Find the second derivative of 0*t + t**3 + t**a + 2*t wrt t.
12*t
Let q be (-1 + (-1)/(-1))/(-2). Suppose q = -3*u + 5*u - 8. What is the second derivative of 0*d + d**3 - 5*d**3 - u*d wrt d?
-24*d
Let c(f) = 13*f + 1. Let a be c(1). Find the second derivative of 6*m**2 - m**2 - a*m + 12*m wrt m.
10
Let y(f) be the first derivative of -f**2 + f - 5. Find the first derivative of y(k) wrt k.
-2
Let a(d) = -4*d**3 - 7*d**2 + 4*d. Let q(l) = 3*l**3 + 6*l**2 - 3*l. Let o(u) = 6*a(u) + 7*q(u). What is the second derivative of o(i) wrt i?
-18*i
Let u(v) be the first derivative of -1/3*v**3 - 2 - v**2 + 0*v. What is the second derivative of u(c) wrt c?
-2
Let t(y) be the third derivative of y**8/24 + 11*y**5/20 - 7*y**2. What is the third derivative of t(g) wrt g?
840*g**2
Differentiate -27 + s**3 + 31*s**3 + 15*s**3 wrt s.
141*s**2
Let q(u) = u**6 - 17*u**2 + 4*u. Let y(r) = 2*r**6 - 17*r**2 + 3*r. Let k(h) = 3*q(h) - 4*y(h). Find the third derivative of k(v) wrt v.
-600*v**3
Let z(p) = p**3 - p**2 - 8*p + 6. Let t be z(5). Suppose 21 = -5*i + t. What is the second derivative of -v - i*v**5 + 5*v**5 + 3*v**5 wrt v?
-20*v**3
Let i(j) be the first derivative of -j**5/5 - 5*j**3/3 - 5. Find the third derivative of i(c) wrt c.
-24*c
Let c(i) be the third derivative of 29*i**4/12 + i**3 - 2*i**2 - 28. Find the first derivative of c(f) wrt f.
58
Let r(z) = -z**3 + 3*z + 1. Let l be r(-2). Suppose -l*v + 6 + 0 = 0. Find the second derivative of -3*m**2 - v*m + 3*m**2 + m**5 wrt m.
20*m**3
Find the third derivative of -38*y + 38*y - 9*y**5 - 5*y**2 wrt y.
-540*y**2
Let j(g) be the third derivative of -g**4/24 + 5*g**3/3 + 11*g**2. Differentiate j(r) wrt r.
-1
Let o be -1 - (1 - 13)/3. Let f(s) be the first derivative of 0*s**3 + 0*s + 3/2*s**2 - o - 1/4*s**4. What is the second derivative of f(x) wrt x?
-6*x
Let x(h) be the second derivative of 3*h**7/7 - 41*h**3/6 + 11*h. What is the second derivative of x(f) wrt f?
360*f**3
Suppose 4 - 10 = -2*d. Find the first derivative of 3*u**2 + 3*u**2 - 6 - 6*u**2 + 3*u**d wrt u.
9*u**2
What is the third derivative of 6*s**2 - 27*s**3 + s - s + 15*s**3 wrt s?
-72
Let y = -39 + 44. Let k(q) be the third derivative of -q**2 + 1/2*q**3 + 0 + 0*q**4 + 0*q - 1/60*q**y. Find the first derivative of k(w) wrt w.
-2*w
Let z(h) be the first derivative of -h**8/56 - h**4/12 + 3*h + 3. Let o(u) be the first derivative of z(u). Find the third derivative of o(i) wrt i.
-120*i**3
Suppose 3*k - 2*k = 3. Suppose v - k*a + 3 = 2, -3*v - 5*a + 11 = 0. What is the third derivative of -3*w**4 + w**v + 3*w**4 + w**4 wrt w?
24*w
Let d(m) = -2*m**3 + 47*m**2 + 2. Let f(q) = 3*q**3 - 93*q**2 - 5. Let j(u) = 5*d(u) + 2*f(u). Find the third derivative of j(h) wrt h.
-24
Let z(l) = -l + 1. Let q(u) = -7. Let d(b) = -q(b) + 4*z(b). Differentiate d(m) with respect to m.
-4
Let i(w) = 9*w**4 - 4*w**3 - 4*w**2 + 3*w. Let t(j) = 18*j**4 - 9*j**3 - 9*j**2 + 7*j. Let o(l) = 9*i(l) - 4*t(l)