-60*p**2
Find the second derivative of 98 + 2*p + 0*p**4 - 2230*p**2 + 0*p**4 + 2232*p**2 + 10*p**5 wrt p.
200*p**3 + 4
Let v(a) be the second derivative of -9*a**8/56 - a**7/14 - 2*a**4 - a**2 - a - 6. Find the third derivative of v(u) wrt u.
-1080*u**3 - 180*u**2
Find the first derivative of -268*c**3 + 206*c**3 - c**2 - 49 + c**2 wrt c.
-186*c**2
Let u(v) be the first derivative of -19*v**6/6 - 41*v**3 + 220. Find the third derivative of u(i) wrt i.
-1140*i**2
Let p(m) be the third derivative of -71*m**8/84 - 277*m**4/24 - 268*m**2. Find the second derivative of p(q) wrt q.
-5680*q**3
Let v(z) = -108*z - 175. Let l(r) = 110*r + 175. Let h(q) = 3*l(q) + 2*v(q). What is the first derivative of h(u) wrt u?
114
Suppose 0 = 3*f - 4*f - 2. Let p(r) = r**2 + 2*r + 3. Let c be p(f). What is the third derivative of 3*u**3 - u**c + 6*u**2 - u**2 - 3*u**3 wrt u?
-6
Let l(o) be the first derivative of 0*o**2 + 10*o + 19/3*o**3 - 27. What is the derivative of l(m) wrt m?
38*m
Let z(m) be the first derivative of 0*m**5 + 0*m**2 + 48 - 5/7*m**7 - 1/4*m**4 + 0*m**6 + 0*m - 56/3*m**3. Find the third derivative of z(v) wrt v.
-600*v**3 - 6
Let p(s) = -s**3 + 5*s**2 + 2. Let q(j) = -j**2 - 5*j + 1. Let i be q(-4). Let k be p(i). Differentiate 1 + 4*t**k - 5*t**2 + 0 - t**2 with respect to t.
-4*t
Suppose 0 = t - 3*h - 17, -2*t - h - 1 = -0. Let b = 148 + -143. What is the third derivative of -v**2 - v**5 - 3*v**t - 3*v**5 + b*v**5 wrt v?
60*v**2
Let g be (-45)/(-24) - 3/(-24). What is the second derivative of 13*m + 13*m - 48*m**g + 53*m**2 wrt m?
10
Suppose 18 = 40*y - 37*y. Differentiate -3*r - 19 + 0*r + y*r + 63 with respect to r.
3
Let u(a) be the third derivative of 47/210*a**7 - 44*a**2 + 11/12*a**4 + 0 + 0*a**6 + 0*a**5 + 0*a + 0*a**3. Find the second derivative of u(v) wrt v.
564*v**2
Let w be 12/(-4)*1 + -29. Let s = w + 41. What is the derivative of 4 + 0 + 2*v**2 - 5*v**2 - s*v**2 wrt v?
-24*v
Find the first derivative of v - 201*v**3 - v + 8631 - 8441 wrt v.
-603*v**2
Let p(s) be the first derivative of 59*s**3/3 - s**2/2 - 14*s - 358. What is the second derivative of p(u) wrt u?
118
Let w(x) be the second derivative of x**9/540 + x**7/210 - 5*x**4/6 + 17*x. Let d(i) be the third derivative of w(i). Find the third derivative of d(z) wrt z.
672*z
Find the first derivative of 29*x**3 - 94*x**3 - 63*x**3 - 61 + 25*x**3 - 51 wrt x.
-309*x**2
Let l(n) be the third derivative of -4*n**2 + 0*n**3 + 0*n**4 - 3/20*n**5 + 0 + 1/30*n**6 + 0*n. What is the third derivative of l(d) wrt d?
24
Let m be 2*(5 + -4)/3*3. What is the second derivative of 16*v + 18*v - 46*v - 25*v**3 + 1 - m*v**2 wrt v?
-150*v - 4
Suppose 11*w = 15*w - 8. What is the third derivative of 1865*j**4 + j**w - 1900*j**4 - 20*j**2 wrt j?
-840*j
Let y(g) be the third derivative of 13*g**7/30 - g**6/120 + 43*g**5/20 + 10*g**2 + 7*g. Find the third derivative of y(m) wrt m.
2184*m - 6
Let x(g) = -49*g**2 + 28*g**2 + 17 + 25*g**2 + 6*g. Let f(h) = 8*h**2 + 11*h + 33. Let n(l) = 6*f(l) - 11*x(l). What is the derivative of n(u) wrt u?
8*u
Let k(u) be the second derivative of 44*u**5/5 - 23*u**4/12 + u**3/3 - 524*u. What is the third derivative of k(c) wrt c?
1056
Let f(g) = g**3 + 7*g**2 - 6*g + 18. Let o be f(-8). What is the second derivative of 0*a**2 - 6*a**2 + 12*a + 3*a**o wrt a?
-6
Let p = -51 + 55. Find the second derivative of -5*w**4 + 0*w + 0*w - 2*w - 11*w**p wrt w.
-192*w**2
Let y(l) = l**2 + 4*l. Let k(q) = 90*q**2 - 24*q. Let p(t) = k(t) - 3*y(t). What is the second derivative of p(b) wrt b?
174
Differentiate 49*t + 37*t + 36 - 4 - 34*t wrt t.
52
Let z(f) = f**3 - 6*f**2 + 6. Let c be z(6). Let j be (56/(-12))/((-4)/c). Find the first derivative of 2 - 5 - j*r + r wrt r.
-6
Let c(a) be the third derivative of 11*a**5/60 + 7*a**4/3 - 4*a**2 + 6. What is the second derivative of c(y) wrt y?
22
What is the first derivative of 40 - 12*y + 12*y - 93 + 59*y wrt y?
59
Let i(o) be the second derivative of o**5/20 + 151*o**4/6 - 163*o**2 - 2*o - 22. Differentiate i(m) with respect to m.
3*m**2 + 604*m
Find the second derivative of -6*w - 82*w**2 + w + 5 + 26*w**2 wrt w.
-112
Let p(z) be the second derivative of 8*z**3 + 167*z**2/2 + 127*z. Find the first derivative of p(x) wrt x.
48
Let w = -8 + 12. Suppose 0 = w*l - 5*c - 35, 0 = 5*l - 0*c + 3*c - 16. What is the third derivative of -6*z**2 + l*z**2 - 7*z**3 + 8*z**2 - z**2 wrt z?
-42
Let i = 28 + -26. Suppose -l + 3 = -0*w - 3*w, -4*l + 12 = 4*w. What is the third derivative of 9*t**3 - t**l + 3*t**3 + 5*t**i wrt t?
66
Let y(j) be the first derivative of j**4/4 + j**3/6 - 4*j + 4. Let m(p) be the first derivative of y(p). Find the second derivative of m(n) wrt n.
6
Let b(c) = -c**3 + 3*c**2 + 4*c - 5. Let s be b(4). Let t(p) = 4*p - 1 - 5*p - p. Let v(x) = 2*x + 2. Let a(f) = s*v(f) - 6*t(f). Differentiate a(g) wrt g.
2
Let r(f) be the first derivative of -86*f**3/3 + 476*f - 135. Differentiate r(h) wrt h.
-172*h
Let d(h) be the second derivative of 2*h**6 - h**4/6 + 41*h**2 - 223*h. What is the third derivative of d(q) wrt q?
1440*q
Let a(y) be the second derivative of -y**8/14 + y**5/20 + 17*y**4/6 - 3*y - 2. Find the third derivative of a(w) wrt w.
-480*w**3 + 6
Let k(i) be the second derivative of -i**9/2520 + i**7/360 - i**4 - 10*i. Let u(y) be the third derivative of k(y). Find the third derivative of u(j) wrt j.
-144*j
Let b(d) be the third derivative of 0*d**5 + 11/60*d**6 + 0 - 18*d**2 + 0*d + 0*d**3 - 1/8*d**4. What is the second derivative of b(w) wrt w?
132*w
Suppose -21 = -8*f + 107. What is the second derivative of -31*u**2 + 11*u + 3*u**2 - 33*u - f*u**2 wrt u?
-88
Let k(z) be the first derivative of -11/3*z**3 - 7*z + 11 + 0*z**2. Differentiate k(l) wrt l.
-22*l
What is the second derivative of -i - 286*i**4 + 11*i**2 + 10*i**2 - 185 + 86*i**4 - 21*i**2 wrt i?
-2400*i**2
Suppose -r - 4*c = -4, 3*r - 4*c + 8 = 5*r. Let q(f) = -f**3 - 2*f**2 + 3*f + 2. Let k be q(-3). Differentiate r + 13 - 9 - k*p**4 with respect to p.
-8*p**3
Let v(z) be the first derivative of 0*z - 3 + z**2 + 7/24*z**4 + 1/6*z**3. Let c(w) be the second derivative of v(w). What is the derivative of c(g) wrt g?
7
Let h(t) be the first derivative of -11*t**5/120 + t**4/12 - 8*t**3/3 - 5. Let q(o) be the third derivative of h(o). Differentiate q(x) wrt x.
-11
Let r(h) = -232*h**4 - 2*h**2 - 2*h - 651. Let v(q) = -234*q**4 - 3*q**2 - 3*q - 652. Let l(z) = -3*r(z) + 2*v(z). What is the first derivative of l(c) wrt c?
912*c**3
Let j(o) = -o + 13. Suppose -17 = 3*m + 10. Let v be j(m). Differentiate -4*r**2 + 5 - 22*r + v*r with respect to r.
-8*r
Let p(s) be the first derivative of s**4/2 - 8*s**3/3 - 112*s + 75. What is the derivative of p(l) wrt l?
6*l**2 - 16*l
Let o(p) be the first derivative of 3*p**3 - 3*p**6 - 6 + 0*p**3 + 5*p**6 - 6*p**3. Find the third derivative of o(g) wrt g.
720*g**2
What is the third derivative of 2*q**4 + 8*q**2 + 92*q**3 - 10 - 10 + 15 wrt q?
48*q + 552
Let w(r) be the first derivative of r**8/1680 + 5*r**4/24 - 2*r**3 + 3. Let j(t) be the third derivative of w(t). What is the derivative of j(y) wrt y?
4*y**3
Let a(k) be the first derivative of k**5/20 - 17*k**3/6 - 17*k**2/2 - 46. Let x(c) be the second derivative of a(c). Differentiate x(d) with respect to d.
6*d
Suppose 5*g = 12 + 3. Suppose g*y - z - 8 = 33, 2*z = -10. Find the third derivative of -w**2 - 2*w**2 + 5*w**5 + y*w**2 wrt w.
300*w**2
Let j(z) be the second derivative of 187*z**3/6 + 203*z**2/2 + 29*z + 1. Differentiate j(b) wrt b.
187
Suppose -4*d + 9 = -11. Suppose 0 = d*j - v - 84, 4*v - 9 = -25. Find the third derivative of -g**2 - j*g**3 + 8*g**3 + 4*g**2 wrt g.
-48
What is the third derivative of h**5 - 15*h**2 - h**6 - 2*h**5 + 4*h**5 + 0*h**5 + 307*h**2 wrt h?
-120*h**3 + 180*h**2
Let z(r) be the third derivative of -139*r**5/30 + 5*r**4/12 - 17*r**3/6 - 53*r**2. Find the second derivative of z(m) wrt m.
-556
Let o = 1380 - 1378. Let x(h) be the first derivative of 0*h**o + 14*h - 3/2*h**4 - 13 + 0*h**3. Find the first derivative of x(g) wrt g.
-18*g**2
Let b(g) be the first derivative of -3/2*g**2 - 4*g + 20 + 0*g**5 + 0*g**4 + 0*g**3 - 10/3*g**6. Find the second derivative of b(y) wrt y.
-400*y**3
Let z(g) be the third derivative of 0 - 11*g**2 + 