x**2. Let s(a) be the second derivative of w(a). Differentiate s(q) wrt q.
33*q**2
Let f(p) be the second derivative of -p**8/112 - p**5/6 + 9*p**2/2 + 10*p. Let v(u) be the first derivative of f(u). Find the third derivative of v(q) wrt q.
-180*q**2
Let c(s) be the second derivative of s**6/120 - 7*s**5/60 + 7*s**4/12 + 10*s. Let j(w) be the third derivative of c(w). What is the derivative of j(b) wrt b?
6
Find the second derivative of -182*t + 8*t**4 - 34*t**4 + 85*t wrt t.
-312*t**2
What is the second derivative of -1152*f**4 - 3*f + 1084*f**4 + 630*f**4 - 39 wrt f?
6744*f**2
Let r = -653 - -1337. Let p be r/20 - (-1)/(-5). What is the third derivative of -34*x + x**6 + 5*x**2 + p*x wrt x?
120*x**3
Let l(s) be the first derivative of -43/7*s**7 + 0*s**5 + 0*s + 0*s**4 - 37 - 4/3*s**3 + 0*s**6 + 0*s**2. Find the third derivative of l(t) wrt t.
-5160*t**3
Let q be 4/(-14) + 104/(-28). Let s = 3 - q. Find the second derivative of 36 - s*x + 41 - 77 - 2*x**3 wrt x.
-12*x
Suppose 2*g + 5 = -3*g + 5*z, g + 3*z - 15 = 0. Let a(k) = -2*k - 7. Let l be a(-8). What is the second derivative of 3*d**4 - 6*d - l*d + 2*d**4 + g*d wrt d?
60*d**2
Let w be (8/(-28))/((-2)/14). Suppose -3*c + 8 = w. What is the third derivative of 0 - 13*f**c + 0 + 5*f**5 + 2*f**5 wrt f?
420*f**2
Let l(v) be the first derivative of 239*v**6/6 + 137*v**3/3 - 275. What is the third derivative of l(j) wrt j?
14340*j**2
What is the second derivative of -2*g + 110*g**2 - 105*g**2 - g - 3 - 3*g**4 wrt g?
-36*g**2 + 10
Suppose -7*v = -15*v. Let i(f) be the second derivative of -6*f + 3/2*f**2 + v - 1/6*f**3. Find the first derivative of i(z) wrt z.
-1
Let f(l) = l**3 + 7*l**2 - l - 5. Let g = 8 + -15. Let s be f(g). What is the third derivative of 4*p**2 + 4*p**2 + 2*p**6 + 0*p**2 - p**s wrt p?
240*p**3
Let h(y) = -5*y - 28. Let b(f) = -9*f - 57. Let x(v) = 2*b(v) - 5*h(v). Find the first derivative of x(d) wrt d.
7
Let u(c) = -c**2 - 2*c - 1. Let b(a) = 242*a**2 + a + 60. Let v(i) = -b(i) - 2*u(i). What is the second derivative of v(h) wrt h?
-480
Let p(w) be the third derivative of -3*w**8/7 - w**4/6 - 5*w**3/3 + 2*w**2 + 101*w. Find the second derivative of p(f) wrt f.
-2880*f**3
Suppose 0 = -4*b + 3*b + 6. Suppose -2*a - 3*z + 15 = -b*z, 2*z = -4*a + 6. Differentiate -2 - a*k**2 + 5*k**2 - 8*k**2 with respect to k.
-12*k
Let y(v) = -5*v - 13. Let g be y(-4). Find the second derivative of -13 - g + 47*a + 20 + 30*a**2 wrt a.
60
Find the third derivative of 708*m**5 + 10*m**2 - 670*m**5 - 55*m**2 wrt m.
2280*m**2
Let j(s) = -s + 2. Let v be j(4). Let i be (-7)/(-7) - (-1 - v). Differentiate 5*n**4 + 0 + i*n**2 + 0*n**2 - 4 with respect to n.
20*n**3
Let d(w) = 3*w - 23. Let o be d(7). Let i(m) = -m - 1. Let z(r) = -3*r**2 + 10*r - 2. Let a(f) = o*i(f) + z(f). Find the second derivative of a(g) wrt g.
-6
Let k(o) be the third derivative of 35*o**4/4 + 137*o**3/3 + 2*o**2 + 16*o. What is the first derivative of k(d) wrt d?
210
Let v be (56/35)/2*(69 - -1). What is the second derivative of -43*l - 92*l**5 - 10*l + v*l**5 + 2*l**2 wrt l?
-720*l**3 + 4
Let u(q) = -43*q**3 + 57*q - 11. Let x(k) = -85*k**3 + 35*k**3 + 19*k + 36*k**3 - 4. Let w(t) = -4*u(t) + 11*x(t). Find the second derivative of w(c) wrt c.
108*c
Let k(o) be the first derivative of o**4/2 - 14*o**2 - 223*o + 217. Differentiate k(t) with respect to t.
6*t**2 - 28
Let o(n) = -n**3. Let y(l) = -247*l**4 + 4*l**3 + 54*l**2. Let h(x) = -4*o(x) - y(x). Find the third derivative of h(i) wrt i.
5928*i
Suppose -5*n - 4 = -24. Differentiate 1 + 13*k**4 - n*k**4 + 15*k**4 + 13*k**4 with respect to k.
148*k**3
Suppose 5*v - 5*h + 15 = 0, 0 = 3*v + h - 6*h + 17. Suppose k - 4 - v = 0. Differentiate -k*g**3 + 5 + 5*g**3 - 5*g**4 wrt g.
-20*g**3
Let i(d) be the second derivative of -631*d**4/12 + 337*d**3/3 + 375*d. What is the second derivative of i(z) wrt z?
-1262
Find the first derivative of -5 + 74 + 68 - 143*o**4 wrt o.
-572*o**3
What is the second derivative of 8 + 8*x**3 + 25*x**3 + 29 - 6*x**3 + 39*x - 35*x wrt x?
162*x
Let b(a) = -a**5 - a**4 + a. Let j(w) = -11*w**5 - 10*w**4 + w**3 - 58*w**2 + 10*w. Let f(q) = 30*b(q) - 3*j(q). Find the third derivative of f(t) wrt t.
180*t**2 - 18
What is the first derivative of 457*q**3 - 28 - 55 - 34 + 157 wrt q?
1371*q**2
Let l(n) be the third derivative of -2*n**7/105 - 11*n**6/30 - n**4/24 - 8*n**3/3 - 3*n**2 - 9*n. Find the second derivative of l(u) wrt u.
-48*u**2 - 264*u
Differentiate 265*h + 43 + 175*h - 82 with respect to h.
440
What is the third derivative of 20*w**2 + 2*w**4 + 3*w**5 + 0*w**5 + 2*w**2 + 11*w**4 wrt w?
180*w**2 + 312*w
Let a(k) be the third derivative of k**5/60 - k**3/6 - 13*k**2. Let v(q) = -27*q**2 - 4. Let g(o) = 5*a(o) + v(o). Find the first derivative of g(s) wrt s.
-44*s
Let w(c) be the second derivative of -189*c**6/10 + 299*c**4/6 + 217*c - 1. What is the third derivative of w(k) wrt k?
-13608*k
Let g(t) = -t**3 + 5*t**2 - 3*t - 1. Let x be g(4). Let r = 7 - x. What is the first derivative of -1 + 2*b**4 - 4*b**2 + r*b**2 + 0*b**2 wrt b?
8*b**3
Let g(j) = 9*j**3 - 22*j**2 - 29*j + 64. Let m(t) = 3*t**3 - 8*t**2 - 10*t + 21. Let n(k) = 4*g(k) - 11*m(k). Differentiate n(c) with respect to c.
9*c**2 - 6
Let c = 10 + -9. Let i be (-3 + (5 - c))*3. What is the derivative of 2 + 1 - 4 - i + 2*y**3 wrt y?
6*y**2
Let d(p) be the first derivative of -5/2*p**4 + 0*p**3 + 5 + 0*p**2 + 14*p. What is the derivative of d(n) wrt n?
-30*n**2
Let o(s) be the third derivative of 0*s + 0 + 0*s**3 + 7/60*s**5 - 8*s**2 - 1/12*s**6 + 0*s**4. What is the third derivative of o(k) wrt k?
-60
Let o(w) be the second derivative of -w**5/20 - w**4/6 - w**3/6 + 11*w. Let d be o(-3). What is the derivative of -6 + d*p + 0 + 4 wrt p?
12
Let x(h) be the third derivative of 30*h**2 - 37/60*h**5 + 0 + 0*h**4 + 0*h**7 + 0*h**3 + 0*h**6 + 1/7*h**8 + 0*h. What is the third derivative of x(c) wrt c?
2880*c**2
Let p(m) be the first derivative of 4*m**5/5 + 41*m**4/4 - 362*m + 103. What is the first derivative of p(t) wrt t?
16*t**3 + 123*t**2
Let m(o) be the second derivative of 5/3*o**3 + 0*o**2 + 19*o - 1/21*o**7 + 0*o**6 + 0 + 0*o**5 + 0*o**4. Find the second derivative of m(q) wrt q.
-40*q**3
Let z(w) be the third derivative of 0*w - 14*w**2 + 0 - 7/6*w**3 - 1/12*w**4. What is the first derivative of z(q) wrt q?
-2
Let v(a) be the second derivative of -5*a**7/42 - 11*a**4/12 + 173*a**3/6 - 95*a - 2. What is the second derivative of v(s) wrt s?
-100*s**3 - 22
Suppose -4*l + l + 15 = 0. What is the third derivative of 59*y**2 + 21 + 6*y**5 - 61 - 58*y**2 - 57*y**l wrt y?
-3060*y**2
Let s(p) be the first derivative of -11*p + 9 + 11 - 3*p + 3*p**5. What is the derivative of s(a) wrt a?
60*a**3
Suppose -6*z + 18 = -12. Let u = z + -2. What is the second derivative of s**u - 28*s**2 + 28*s**2 - 3*s wrt s?
6*s
Let u = -31 - -33. What is the derivative of -7 + 0 + 4*w**2 + u*w**2 wrt w?
12*w
What is the derivative of 374 - 2*t**2 + 65 - 121*t + 338*t - 89 wrt t?
-4*t + 217
Let t = -28 + 37. Find the second derivative of -r**5 + 4*r**5 - 7*r - 7*r**5 - t*r**5 wrt r.
-260*r**3
Suppose 0 = 5*j + 2*u - 12, 2*j - 4*u + 2 = j. Let a = 69 - 64. What is the third derivative of r**2 + 21*r**a - 5*r**j - 20*r**5 wrt r?
60*r**2
Let v(h) = -12*h + 1. Let t(i) = -4*i. Let l(j) = 8*t(j) - 3*v(j). Let d be l(2). Find the third derivative of -q + d*q**3 - 4*q**2 - 17*q**3 + q wrt q.
-72
Let z(x) be the second derivative of -2*x**7/21 + 3*x**5/10 - 67*x**3/6 - x - 20. Find the second derivative of z(u) wrt u.
-80*u**3 + 36*u
Let u(n) be the first derivative of -3*n**5/10 + 6*n**2 + 2*n + 5. Let a(k) be the first derivative of u(k). What is the derivative of a(g) wrt g?
-18*g**2
Find the second derivative of -24*f - 5*f + 42*f + 8 + 63*f**5 wrt f.
1260*f**3
Let s(v) be the second derivative of 49*v**3/6 + 31*v**2 - 129*v. What is the derivative of s(h) wrt h?
49
Suppose -8*m = 3 - 11. What is the derivative of 3 + 7*v + m + 9 + 1 wrt v?
7
Find the first derivative of 0 - 16 - 11*d + 41*d + 13*d wrt d.
43
What is the second derivative of 78*a**4 + 0 + 15*a**5 + 69*a**4 - 100*a + 0 - 129*a**4 wrt a?
300*a**3 + 216*a**2
Suppose 4*w = -3 + 19. Find the third derivative of -s**2 - 11*s**w + 6*s**2 + 14*s**2 wrt 