Let c = 21 + -19. What is the second derivative of 6*h + c*h - 2*h + 2*h**4 - 2*h wrt h?
24*h**2
Differentiate 2 - 8 + 10*a**3 - 15*a**3 with respect to a.
-15*a**2
Find the first derivative of -26*t**4 - 13 + 23 - 5 wrt t.
-104*t**3
Let d(l) be the second derivative of -l**7/840 - l**4/8 + l**3/6 - 3*l. Let f(v) be the second derivative of d(v). Differentiate f(k) with respect to k.
-3*k**2
Let d(r) = 15*r**4 - 16*r + 6. Let v(i) = 14*i**4 - 15*i + 5. Let b(y) = -5*d(y) + 6*v(y). What is the second derivative of b(m) wrt m?
108*m**2
Let d(k) = k**3 + k. Let x be d(1). Suppose -2*m + 3 = -1. Find the third derivative of m*j**3 + j**2 + 0*j**x + 0*j**3 wrt j.
12
Let x(o) = -o**3 - 6*o**2 - 2*o - 7. Let m be x(-6). Find the second derivative of 5*b**4 - 2*b - 3*b**4 - m*b**4 + 2*b**4 wrt b.
-12*b**2
Let t(h) be the second derivative of -7*h**4/12 + 3*h**3 - 21*h. Find the second derivative of t(p) wrt p.
-14
Let x(j) be the third derivative of j**4 + 31*j**3/6 + 3*j**2. Differentiate x(g) with respect to g.
24
Let b(l) be the third derivative of -l**7/210 + l**4/12 - l**3/3 - 3*l**2. Let p(y) be the first derivative of b(y). What is the derivative of p(g) wrt g?
-12*g**2
What is the second derivative of -4*h - 12 + 4*h**3 - 4*h**3 + 11*h**4 wrt h?
132*h**2
Let g(k) = -k + 7. Let o be g(0). Suppose -o = -2*a - 1. What is the second derivative of 3*u**a + 2*u - 2*u + 3*u wrt u?
18*u
Let r(l) be the third derivative of 23*l**5/60 - 8*l**3/3 + 19*l**2. What is the derivative of r(x) wrt x?
46*x
Let q be (2/3)/(-2 + 3). Let d(o) be the first derivative of 0*o**2 + 2/5*o**5 - 2 + 0*o**4 - q*o**3 + 0*o. Find the third derivative of d(v) wrt v.
48*v
Let f(r) be the third derivative of -1/42*r**7 + r**2 + 0*r**3 + 0*r**6 - 1/12*r**4 + 0 + 0*r + 0*r**5. Find the second derivative of f(b) wrt b.
-60*b**2
Let c(v) be the second derivative of 0*v**2 + 0*v**3 + 0*v**6 + 1/4*v**4 + 0*v**5 - 2*v + 0 + 1/28*v**8 + 0*v**7. What is the third derivative of c(w) wrt w?
240*w**3
Let j(c) be the first derivative of -3 + 4*c - 1/6*c**3 + 3/2*c**2. Let m(z) be the first derivative of j(z). Differentiate m(u) with respect to u.
-1
Let s(c) = 3*c**2 + 6*c + 2. Suppose 0 = -5*v + 23 + 67. Let d(n) = -13*n**2 - 25*n - 9. Let m(k) = v*s(k) + 4*d(k). Find the second derivative of m(y) wrt y.
4
Let z(p) be the second derivative of p**8/2240 + p**6/720 + p**4/12 - 5*p. Let m(k) be the third derivative of z(k). Find the second derivative of m(v) wrt v.
18*v
Let q(u) be the first derivative of -11*u**6/6 - 8*u**2 + 2. What is the second derivative of q(z) wrt z?
-220*z**3
Let g(c) = -39*c**2 - 7*c - 16. Let s(d) = -13*d**2 - 2*d - 5. Let w(a) = 2*g(a) - 7*s(a). Find the first derivative of w(k) wrt k.
26*k
Suppose -4 = 4*z - 0. Let g be 10*(-1)/(2*z). Find the third derivative of 2*d**3 - g*d**3 + 4*d**3 + 2*d**2 wrt d.
6
Let x(g) be the third derivative of -1/24*g**4 + 4*g**2 + 0*g + 0*g**6 + 0 + 0*g**7 - 1/84*g**8 + 0*g**3 + 0*g**5. Find the second derivative of x(r) wrt r.
-80*r**3
Suppose -6*w = -5*w. Let h(r) be the first derivative of -4/3*r**3 + 3/5*r**5 + 0*r**4 + 0*r - 1 + w*r**2. Find the third derivative of h(u) wrt u.
72*u
Let y(i) be the first derivative of 7*i**5/5 + 7*i**2/2 - 10. What is the second derivative of y(a) wrt a?
84*a**2
Let d = -21 - -27. What is the first derivative of 0 - 34*q**3 + d + 33*q**3 wrt q?
-3*q**2
Differentiate -8 + 11*a - 12 + 5*a + 3*a wrt a.
19
Let s(d) be the first derivative of 18*d**7/7 + 5*d**3/3 + 6. Find the third derivative of s(k) wrt k.
2160*k**3
What is the third derivative of -3*h**6 - 5*h**2 + 12*h**2 - 3*h**2 + 2*h**2 wrt h?
-360*h**3
Let b(n) be the third derivative of n**4/6 + 3*n**3/2 - 7*n**2. Find the first derivative of b(i) wrt i.
4
Suppose 6*w - 2*w = 20. What is the second derivative of 2*p - 5*p - 5*p**5 + p**w wrt p?
-80*p**3
Let w(s) be the first derivative of 0*s**3 + 0*s**2 - 3/2*s**4 - 6*s - 6. Find the first derivative of w(r) wrt r.
-18*r**2
Find the third derivative of -12*i**4 + i**2 + 5*i**2 - 9*i**4 - 33*i**2 wrt i.
-504*i
Let i(r) be the second derivative of 1/3*r**4 + 4*r - 3/2*r**2 + 0*r**3 + 0. What is the derivative of i(d) wrt d?
8*d
Let g(l) be the first derivative of l**6/180 - l**5/40 - 4*l**3/3 + 4. Let p(u) be the third derivative of g(u). Find the second derivative of p(o) wrt o.
4
Let g be -7*1*16/(-56). What is the second derivative of 2*o - g*o**5 - 2*o**5 + 0*o**5 wrt o?
-80*o**3
Let r(y) be the second derivative of -y**8/14 - 7*y**4/12 - 11*y. What is the third derivative of r(j) wrt j?
-480*j**3
Let d(z) = z**3 - 10*z**2 + 1. Let f be d(10). What is the first derivative of 4*t**2 + 7 + f - 1 - 6 wrt t?
8*t
Find the third derivative of 5 + 2*c**2 + 14*c**5 + 20*c**5 - 4 wrt c.
2040*c**2
Differentiate 2*s**3 + 88*s**2 - 16 + 4 - 88*s**2 with respect to s.
6*s**2
Let y = -5 - -20. Let k be 0 - 5/(y/(-6)). What is the third derivative of 3*g**5 - 6*g**4 + 6*g**4 + k*g**2 + g**2 wrt g?
180*g**2
Let j(h) be the third derivative of 0*h**4 - 1/105*h**7 + 0*h**3 + 0*h**6 + 1/15*h**5 - 2*h**2 + 0 + 0*h. What is the third derivative of j(t) wrt t?
-48*t
Let u(n) be the second derivative of 1/3*n**3 - n + 0 + n**2. What is the first derivative of u(s) wrt s?
2
What is the second derivative of -w - 21*w**2 + 21*w**2 - 10*w**3 wrt w?
-60*w
Let l(m) = m**3 + 3*m**2 + m. Let a be l(-2). What is the second derivative of 3*c - 2*c**a - 2*c**3 + 2*c**2 wrt c?
-12*c
Differentiate 4*l**2 + 1 - 4*l**2 + 2*l**3 with respect to l.
6*l**2
Suppose 0 = -7*m + 9*m - j, m = -5*j. Let o(x) be the first derivative of m*x - 1/2*x**2 + 1 + x**3. Find the second derivative of o(d) wrt d.
6
Let o = 22 - 16. Let j be -2*2/o*-3. What is the derivative of 2*d**2 - 3*d**2 + j + 0*d**2 wrt d?
-2*d
Let s(y) = -43*y**3 - 7*y**2 - 7*y + 33. Let c(w) = -14*w**3 - 2*w**2 - 2*w + 11. Let l(u) = 7*c(u) - 2*s(u). What is the derivative of l(m) wrt m?
-36*m**2
Suppose -2*n - 2 = -n. Let q(u) = -8*u**3 + 3*u**2 - 2. Let l(m) = -m**3 - m**2 - 1. Let o(t) = n*l(t) + q(t). Find the third derivative of o(w) wrt w.
-36
Let t(b) be the first derivative of -b**3/3 - 4*b**2 + 2*b - 3. Let a be t(-8). What is the derivative of y**3 + 0 - a*y**3 - 1 wrt y?
-3*y**2
Let y(f) be the second derivative of f**6/720 - f**5/40 - 2*f**4/3 + f. Let x(v) be the third derivative of y(v). What is the first derivative of x(g) wrt g?
1
Suppose -4*k = -3*o - 116 + 10, o = 5*k - 127. Find the first derivative of -55*w**2 + 24*w**2 + k*w**2 + 7 wrt w.
-12*w
Let v(j) be the third derivative of -13*j**8/336 - j**5/60 + j**2. Find the third derivative of v(m) wrt m.
-780*m**2
Let o be (2 + -1)/(4/16). Suppose 4*j = x + 9, -o*j - 3*x = -2*j - 15. What is the second derivative of -v - 11*v**3 + 8*v**j + 3*v wrt v?
-18*v
Let a be -5*(-1 + 1 - 1). Let i be (-1 + -1)*(-12)/8. Find the third derivative of -3*l**2 - 5*l**3 + 3*l**a + 5*l**i + 4*l**2 wrt l.
180*l**2
What is the second derivative of -6*k**2 + 0*k**2 - 5*k**3 + 6*k**2 + 19*k wrt k?
-30*k
Suppose 4*t - 16 = 8. What is the third derivative of 3*w**2 + 8*w**t + 0*w**2 + 5*w**2 wrt w?
960*w**3
Let h(k) = 2*k**2 - 8*k + 18. Let i(d) = d**2 - 5*d + 12. Suppose 2*r - 15 = 5*r. Let a(o) = r*h(o) + 8*i(o). What is the derivative of a(s) wrt s?
-4*s
Let x(b) = b + 1. Let t(s) = 55*s**2 + 2*s - 32. Let a(c) = t(c) - 2*x(c). Find the first derivative of a(d) wrt d.
110*d
Suppose 3*v - 3 = 6. Find the third derivative of 4*a**2 - 6*a**3 + 6*a**v + 6*a**6 wrt a.
720*a**3
Let w(b) = -b**3 - 6*b**2 + b + 5. Let i be w(-6). Let h = i + 3. Find the second derivative of 3*v**h - v**4 - 3*v**2 + v wrt v.
-12*v**2
Let v(q) = -77*q**3 - 22*q**2 - 66*q + 66. Let a(c) = c**3 + c - 1. Let f(o) = -66*a(o) - v(o). Find the third derivative of f(t) wrt t.
66
Let n(u) = -u**2. Let m(o) = -2*o**2 + 1. Suppose 12*j = 8*j - 12. Let f(a) = j*n(a) - m(a). Find the first derivative of f(b) wrt b.
10*b
Suppose l = -3 + 10. Find the second derivative of -3*g**3 + l*g**3 + 6*g - 4*g + g wrt g.
24*g
Let o(z) = 2*z**2. Let u be o(1). Find the third derivative of 3*j**u + 5*j**4 - 3*j**4 + 3*j**4 wrt j.
120*j
Let g(p) be the first derivative of p**8/1680 - p**6/36 + 2*p**3/3 - 9. Let t(q) be the third derivative of g(q). Find the third derivat