+ 6*y**2 - 2*y**2 + 9*y - y**3. Let u(n) be the first derivative of v(n). Differentiate u(c) wrt c.
-6
Let z = 15 + 0. Find the third derivative of -z*d**2 - 119*d**3 - 8*d**2 + 121*d**3 wrt d.
12
Find the second derivative of -27 + 105*f**2 - 95 + f + 83 wrt f.
210
Let z(s) = 33*s**4 + 12*s + 3. Let o(y) = 67*y**4 + 25*y + 5. Let r(q) = -3*o(q) + 5*z(q). Find the second derivative of r(w) wrt w.
-432*w**2
What is the third derivative of d**5 + 72*d**5 + 68*d**5 - 8 + 11*d**2 wrt d?
8460*d**2
Let i(w) be the first derivative of -38*w**5/5 - 2*w**3/3 + 109*w - 22. Differentiate i(o) wrt o.
-152*o**3 - 4*o
Suppose r - x + 2 = 0, x = 5*x - 16. Let q = -4 + 6. What is the second derivative of 8*z + 3*z**4 + q*z**4 - r*z**4 wrt z?
36*z**2
Find the first derivative of -574*p - 400 - 343*p + 95 + 270*p - 225 wrt p.
-647
Let r(x) = x + 9. Let b be r(-8). Let o = 4 - b. Find the third derivative of o*v**6 + 11*v**2 - 15*v**2 + v**6 wrt v.
480*v**3
Let d(v) be the first derivative of -6*v + 4 + 1/2*v**2 - 1/3*v**3. Let l(w) be the first derivative of d(w). Find the first derivative of l(c) wrt c.
-2
Let w(s) = -22*s**2 - 57. Let c(l) = -7*l**2 - 15 + 7 - 21 - 4*l**2. Let t(n) = 7*c(n) - 4*w(n). Differentiate t(d) with respect to d.
22*d
Let h(q) = q**3 + 4*q**2 - 6*q - 1. Let x be h(-5). What is the first derivative of 5 - 2*z - 5*z**x + 2*z + 9 wrt z?
-20*z**3
Let l(c) be the second derivative of 86*c**6/15 - c**5/20 + 35*c**4/12 - 129*c. Find the third derivative of l(x) wrt x.
4128*x - 6
Let t be ((-6)/(-9))/(5/15). Differentiate -t*g - 13 + 2*g + 11*g + 5*g with respect to g.
16
Let g(l) be the third derivative of 5*l**9/126 + 4*l**5/15 + l**4/12 + 2*l**2 + 10*l. Find the third derivative of g(y) wrt y.
2400*y**3
Let b(d) = d**3 - 6*d**2 - 3*d + 5. Let x be b(6). Let k = 16 + x. What is the third derivative of 6*s**2 + s**3 + 9*s**4 - 6*s**4 - s**k wrt s?
72*s
Let u(y) = y. Let j(x) = -16*x**3 + 22*x**2 - 2*x. Let g(o) = -o - 17. Let s be g(-19). Let q(r) = s*u(r) + j(r). What is the third derivative of q(z) wrt z?
-96
Differentiate -10 + 6 - 47*d**2 + d**4 + 14 + d**4 with respect to d.
8*d**3 - 94*d
Let h(x) be the first derivative of 0*x**2 + 0*x + 10 - x**3 + 0*x**4 + 7/5*x**5. Find the third derivative of h(r) wrt r.
168*r
What is the third derivative of 23*j**2 + 12*j**2 - 343834*j**5 - 2*j**3 - 309*j**6 + 343834*j**5 wrt j?
-37080*j**3 - 12
Suppose -4*q = 5*o - 71, -3*o = 4*q + o - 68. What is the third derivative of 8*u**2 + 23*u**6 - q*u**2 - 14*u**2 wrt u?
2760*u**3
Let c be 18 - 0/(-2) - (-15 - -12). What is the second derivative of c*y**2 - 4*y + 2*y**2 - 5*y**2 wrt y?
36
Find the first derivative of 59*b**2 + 131 - 3*b + 8*b**2 + 6*b + 5*b**2 - 2*b wrt b.
144*b + 1
Suppose -n - 4 = -2*u, -n = -2*u + n. Differentiate -10 - u - 15*a - 3*a + 3 wrt a.
-18
Suppose 0 = 2*p + z - 17, 4*p - 3 = 4*z + 1. Find the third derivative of 13*l**6 + 6*l**2 - l**3 + l**3 - 23*l**p wrt l.
-1200*l**3
Let u(n) be the second derivative of 9*n**3/2 + 16*n**2 + 149*n. Find the first derivative of u(q) wrt q.
27
Let o(l) be the third derivative of 3*l**7/35 - 97*l**4/12 + 230*l**2. What is the second derivative of o(y) wrt y?
216*y**2
Let f be 2/4 - (-21)/14. Suppose 2*p = s + 2*s - 12, 0 = -f*s - 3*p + 8. Find the third derivative of -j**s + 9*j + 6*j**4 - j**2 - 9*j wrt j.
120*j
Let b(t) = -999*t**4 - 6*t**3 - 12*t**2 + 12*t + 4. Let g(q) = -q**4 - q**3 - 2*q**2 - q. Let d(f) = b(f) - 6*g(f). Find the second derivative of d(z) wrt z.
-11916*z**2
Let y = -97 - -101. Find the second derivative of 5*k - 2*k**y + 9*k + 2*k**4 - 3*k**4 wrt k.
-36*k**2
What is the third derivative of -2*y - 15*y**2 + 2*y - 1 + 1376*y**4 - 1175*y**4 + 0*y wrt y?
4824*y
Let k(y) be the second derivative of 39*y**8/28 + 19*y**4/3 + 8*y + 6. Find the third derivative of k(p) wrt p.
9360*p**3
Differentiate 4*j**3 - 4*j**3 + 2*j**3 - 120 - 6*j**3 - 8*j**3 with respect to j.
-36*j**2
Suppose 3*m + 3 = c - 5*c, -4*c - 4*m - 8 = 0. Find the first derivative of -c + 22*z - 7 - 17*z wrt z.
5
Let m(a) be the first derivative of a**8/48 + a**5/12 + 9*a**2/2 + 2. Let z(s) be the second derivative of m(s). Find the third derivative of z(r) wrt r.
420*r**2
Let x(m) be the first derivative of -16*m**5/5 + 4*m**3/3 + 60*m - 63. Find the first derivative of x(k) wrt k.
-64*k**3 + 8*k
Let a(c) = -20*c**2 + 7*c**2 - 5*c**4 + c**4. Let b(x) = -6*x**4 - 20*x**2. Let y(t) = 7*a(t) - 5*b(t). Find the third derivative of y(i) wrt i.
48*i
Let h(r) be the second derivative of r**8/56 - 13*r**5/20 - 125*r**4/12 - 4*r - 7. What is the third derivative of h(v) wrt v?
120*v**3 - 78
Suppose 14 = -2*r + 3*r. What is the derivative of r*a**2 + a + 0*a - 1 - a wrt a?
28*a
Let i(c) = -40*c**4 - 3*c**3 + 5*c**2 + 51*c. Let k(j) = j**4 + j**3 - j**2 + j. Let p(y) = -i(y) - 5*k(y). Find the second derivative of p(g) wrt g.
420*g**2 - 12*g
Differentiate 39*o + 201*o + 28 - 49*o + 13 + 46*o with respect to o.
237
Let g = 123 - 115. What is the first derivative of g*y + 15*y - 30*y - 18 + 24*y wrt y?
17
Let q(w) = w + 4. Let p be q(-2). Suppose 0 = -3*z - p*z. What is the third derivative of x**2 - 4*x**2 + 6*x**5 + z*x**2 - 2*x**5 wrt x?
240*x**2
Let k = 143 + -99. Suppose k + 1 = 5*p. What is the third derivative of -3*j**5 - p*j**2 + 2*j**5 - 3*j**5 - 4*j**5 wrt j?
-480*j**2
Let o(r) be the third derivative of -r**5/120 + 7*r**4/8 + 7*r**3/2 + 7*r**2. Let i(m) be the first derivative of o(m). Differentiate i(a) with respect to a.
-1
Let w(o) be the second derivative of -41*o**6/30 + 33*o**2/2 + 2*o + 178. What is the first derivative of w(x) wrt x?
-164*x**3
Find the second derivative of -459*d**2 - 118*d + 2 - 2*d**3 - 2 + 436*d**2 wrt d.
-12*d - 46
Let s(l) be the first derivative of -6*l**3 + 0*l + 0*l**2 - 9/2*l**4 + 35. Find the third derivative of s(y) wrt y.
-108
Let z(w) = w - 5. Let r be z(8). Suppose -4*a - 4*h = -4, 0*a - a + r*h = -9. Find the second derivative of -5*f**2 + 13*f - 17*f + a - 3 wrt f.
-10
Let n(a) = -a**3 + 5*a**2 - 3*a - 3. Let b be n(4). Let g be (-1)/((-27)/6) - 48/(-27). What is the derivative of 4 + b - g + 2*o**3 wrt o?
6*o**2
Let d(c) = -c**2 + 1. Let n(s) be the first derivative of 13*s**3/3 + 14*s + 11. Let u(f) = 4*d(f) + n(f). What is the first derivative of u(j) wrt j?
18*j
Let y(b) = -2*b + 22. Let o be y(9). Differentiate -17*t + o*t - 1 + 3 + 25 wrt t.
-13
Suppose 0 = 2*b + o - 9, 2*b + 2*b + o - 13 = 0. Find the third derivative of 5*u**b - 9*u**5 + 0*u**5 - u**2 wrt u.
-540*u**2
Let q(d) be the second derivative of -1/10*d**5 - 13*d + 0*d**2 + 0 - 25/6*d**3 + 0*d**4. What is the second derivative of q(c) wrt c?
-12*c
Let w(c) = -3*c - 12. Let u be w(-10). Find the third derivative of 4864 - u*o**2 - 4864 - 17*o**4 wrt o.
-408*o
Let l(o) be the first derivative of 0*o**2 + 11 - 14/3*o**3 + 0*o**4 + 0*o - 23/5*o**5. What is the third derivative of l(k) wrt k?
-552*k
Suppose 0 = y + 2*j - 4, -7*y + 16 = -3*y - 2*j. What is the second derivative of -5*o**2 - 12*o - y*o**2 + 12*o**2 + 13*o**2 wrt o?
32
Suppose 0 = -n + 3*w + 7, 3*n - 12 = 5*w + 5. What is the first derivative of -138*p - 3 + 138*p - 2*p**n wrt p?
-8*p**3
Suppose 8 = 2*g - 4*g, 5*i - 4 = -4*g. Let z(n) be the first derivative of 0*n + 2*n**2 + 5/4*n**i - 2 + 0*n**3. Find the second derivative of z(f) wrt f.
30*f
What is the derivative of 177 + 106 + 33 + 298 + 746*k + 12 wrt k?
746
Let n(a) be the first derivative of -a**10/504 + a**6/120 - a**3 - 2. Let w(k) be the third derivative of n(k). Find the third derivative of w(y) wrt y.
-1200*y**3
Find the second derivative of 3702*y**3 - 87*y - 282*y**4 + 3 - 1852*y**3 - 1850*y**3 wrt y.
-3384*y**2
What is the derivative of -40*c**2 - 35*c**2 + 105*c + 404 + 7*c**2 - 105*c wrt c?
-136*c
Let x(b) = b**3 - 24*b**2 + 9*b - 138. Let y(q) = 12*q**2 - 4*q + 69. Let r(s) = -4*x(s) - 9*y(s). Differentiate r(c) with respect to c.
-12*c**2 - 24*c
Let k(p) = -221*p**3 - 2*p**2 - 286*p - 4. Let v(y) = -441*y**3 - 3*y**2 - 574*y - 7. Let r(a) = 7*k(a) - 4*v(a). What is the second derivative of r(g) wrt g?
1302*g - 4
Suppose 22*v - 17*v = i + 15, -5*v + 15 = 0. Let j(y) be the second derivative of i + 2/3*y**3 - 9/2*y**2 - 7*y. Differentiate j(a) with respect to a.
4
Let t(q) =