2. Find the first derivative of z(v) wrt v.
8
Suppose -4*r + 69 + 263 = 0. What is the second derivative of -42686*u - r*u**4 + 42687*u + 54 + 205*u**4 wrt u?
1464*u**2
Find the first derivative of 5*m**3 - 3*m**3 - 178 - 218*m**2 + 0*m**3 + 217*m**2 wrt m.
6*m**2 - 2*m
Let t(d) be the first derivative of 1283*d**4/4 - 2445*d + 3956. What is the derivative of t(w) wrt w?
3849*w**2
What is the second derivative of -136*o**4 - 80*o**4 + 1368*o + 427*o**4 wrt o?
2532*o**2
Let f(v) be the first derivative of v**7/7 + 46*v**6/3 + 3*v**4/4 + 11*v**3 - v**2 - v + 11925. What is the third derivative of f(u) wrt u?
120*u**3 + 5520*u**2 + 18
Let n(a) be the third derivative of 0*a**4 + 21/5*a**5 + 0 + 38/3*a**3 + 179*a**2 + 0*a. Find the first derivative of n(j) wrt j.
504*j
What is the third derivative of 791*n**3 + 6*n**6 + 23*n**2 - 372*n - 4*n**6 + 8*n**2 + 408*n wrt n?
240*n**3 + 4746
What is the second derivative of -34*f**5 + 35*f**5 - 14*f**4 - 14*f**4 + 868*f + 2 - 6*f**5 wrt f?
-100*f**3 - 336*f**2
Find the third derivative of 4812*f**2 - 512*f**3 - 2789*f**3 - 2622*f**2 wrt f.
-19806
Let i(k) = -20*k**2 + 3*k - 2. Let q(z) = -13 + 16*z - 26*z**2 - 100*z**2 + 7*z**2. Let r(y) = 39*i(y) - 6*q(y). Find the second derivative of r(n) wrt n.
-132
What is the third derivative of a**4 + 37*a**2 + 779*a**2 + 1488*a**2 + 673*a**6 wrt a?
80760*a**3 + 24*a
Let a(k) be the first derivative of 205*k**6 - 1082*k**3/3 - 2217. Find the third derivative of a(t) wrt t.
73800*t**2
Let p(i) be the first derivative of 446*i**3/3 + 756*i + 2327. What is the derivative of p(t) wrt t?
892*t
Suppose 6*w - 3*w - s = 772, 5*s + 262 = w. Find the second derivative of -233*o + 88*o - w*o**3 + 257*o**3 + 0*o**4 - 117*o**4 wrt o.
-1404*o**2
Let c(j) be the first derivative of -96/5*j**5 + 0*j - 71/2*j**2 + 0*j**3 - 84 + 0*j**4. What is the second derivative of c(b) wrt b?
-1152*b**2
Let h(c) be the first derivative of -1/4*c**4 - 132 + 37/2*c**2 + 0*c + 14/3*c**3. Find the second derivative of h(u) wrt u.
-6*u + 28
Let f(t) be the first derivative of -25*t**8/56 - 3*t**4/4 - 55*t - 73. Let g(a) be the first derivative of f(a). What is the third derivative of g(j) wrt j?
-3000*j**3
Let x(b) be the first derivative of 3966*b**5/5 + 492*b**2 - 3225. Find the second derivative of x(v) wrt v.
47592*v**2
Let i(j) = 4312*j**3 + 328*j - 13. Let a(v) = -4312*v**3 - 326*v + 11. Let o(r) = -7*a(r) - 6*i(r). Find the second derivative of o(x) wrt x.
25872*x
Let k be 1/(-4 + -2 - -7). Find the second derivative of -x - 3*x**3 - k + 0*x + 0*x**3 - 13*x**3 wrt x.
-96*x
Let q(s) be the third derivative of -33*s**6/40 + 53*s**5/15 + 58*s**2 + 4. Find the third derivative of q(f) wrt f.
-594
Suppose 125391 = 34*f + 39881. Differentiate j - 2*j - 320 + f*j**3 - 2567*j**3 with respect to j.
-156*j**2 - 1
Let m(d) = -79*d - d**2 - d**3 + 79*d - 197 + 2*d**2. Let k(j) = -j**2 - 3. Let c(a) = -4*k(a) + m(a). Differentiate c(l) wrt l.
-3*l**2 + 10*l
Let r be (-1001)/(-308) - 1/4. Let l(b) be the first derivative of 0*b - 6 + 0*b**2 - 2/3*b**r + 0*b**4 + 3*b**5. Find the third derivative of l(c) wrt c.
360*c
Let a(k) = -k**2 + 4*k + 14. Let g be a(6). Differentiate 702*h + 5 + g - 714*h with respect to h.
-12
Let r(p) = 588*p - 3. Let f be r(2). Suppose -f = 4*o - 4661. Find the second derivative of o*u**3 - 11*u - 13*u**4 - 872*u**3 wrt u.
-156*u**2
Let z(d) be the second derivative of -84*d + 301/2*d**2 + 0*d**3 + 1 - 221/12*d**4. Find the first derivative of z(y) wrt y.
-442*y
Let b(k) be the third derivative of 0 + 0*k**5 - 3/2*k**3 - 9*k - 6*k**2 + 0*k**4 + 1/6*k**6. Differentiate b(z) with respect to z.
60*z**2
Suppose -1 = -7*q + 69. What is the second derivative of q*y + 9*y - 21*y - 1 - 60*y**2 wrt y?
-120
Find the second derivative of 2069 + s**4 - 117*s + 2069 - 1598*s - 178*s**2 - 4138 wrt s.
12*s**2 - 356
Let u(p) = p**2 + 2*p. Let o be u(-3). Suppose -20 = -o*z - z. Find the third derivative of 5*s**2 + s**z + 3*s**2 + 8*s**2 - 7*s**2 wrt s.
60*s**2
Suppose 90 - 57 = -11*j. Let d(f) = 157*f**2 - 72*f - 3. Let l(o) = -159*o**2 + 71*o + 4. Let u(y) = j*l(y) - 4*d(y). Find the second derivative of u(a) wrt a.
-302
Suppose 69*w - 1235 = -26*w. Suppose -29 = -4*y - 3*d, 19 = 5*y + 5*d - 16. Find the third derivative of -y*r**4 + 11*r**2 - 36*r**2 + w*r**2 + 10*r**2 wrt r.
-192*r
Let u(r) be the third derivative of 1559*r**6/120 - 328*r**5/15 + r**4/12 - 1639*r**2. Find the third derivative of u(j) wrt j.
9354
Suppose -2*f + 5*n = -4*f + 6, 3*f - 3*n - 30 = 0. What is the first derivative of 15*m**4 + 3*m - 72 - 4*m + f*m**4 wrt m?
92*m**3 - 1
Let a be 1386/(-12)*(-10)/15. Find the third derivative of 31*p**5 + 63*p**6 + 19*p**2 - a*p**2 - 31*p**5 wrt p.
7560*p**3
Let r(w) = -w**2 + 3*w - 2. Let g(k) = -917*k**2 - 9*k - 475. Let h(i) = g(i) + 3*r(i). Differentiate h(a) with respect to a.
-1840*a
Let w be (-6)/(-33) - (-4)/(-22). Suppose -4*r + 9*r = -2*t - 1, w = -r - 1. Find the second derivative of 37*b**2 + 55*b - 52*b + 16 - t - 2 wrt b.
74
Let q(a) be the first derivative of -a**2 + 0*a**6 + 0*a - 83 - 1/7*a**7 + 0*a**4 - a**3 + 32/5*a**5. What is the third derivative of q(i) wrt i?
-120*i**3 + 768*i
Let u = 89 + -23. Let g = u - -14. What is the derivative of g*z + 30*z**2 - 80*z - 19 wrt z?
60*z
Let j = -31 - -31. Suppose 5*g - 13 - 2 = 0, -z + 2*g - 5 = j. Differentiate 25 + 15*a - z - 5 - a wrt a.
14
What is the second derivative of 722*p**2 - 44*p**3 - 718*p**2 + 15*p**3 - 91*p**3 - 337 + 3*p - p wrt p?
-720*p + 8
Let v(i) = -i + 5. Suppose -2 = -2*n - 6. Let c be v(n). What is the second derivative of 13*m + c*m**4 + 4*m + 18*m**4 + 10*m wrt m?
300*m**2
What is the third derivative of -28 - 1387*d + 1406*d - 2089*d**3 + 3*d**2 - 2*d**2 wrt d?
-12534
Let d = -2 - -5. Let o = 3239 + -3222. Differentiate 6 - o + d + 20*q - 2 wrt q.
20
Let l(n) = n + 30. Let y be -13 + 6/(-3) + 3. Let t be l(y). What is the derivative of 2*h**2 - 11*h**4 - t + 5*h**4 - 2*h**2 wrt h?
-24*h**3
Let f(x) = 8*x - 3. Let z be f(1). Let n be (0 - -4) + z + -4. What is the second derivative of -15 - 7*m**5 + m + 15 + m**n wrt m?
-120*m**3
Suppose 0 = -4*r + 5 + 11. Suppose 2*k - 3*k = r*z - 27, -4*k = -4*z - 28. What is the first derivative of -30 - w**4 + 0*w**4 + k wrt w?
-4*w**3
Let b(m) = 12*m**3 + 5*m + 31. Let l(y) = -94 - 82*y**3 - 14*y + 45*y**3 + 0. Let p(k) = 11*b(k) + 4*l(k). Find the second derivative of p(n) wrt n.
-96*n
Let x(w) = -1748*w**3 - 6*w**2 - 36*w - 20. Let b(y) = 1746*y**3 + 9*y**2 + 35*y + 18. Let g(n) = -2*b(n) - 3*x(n). What is the second derivative of g(c) wrt c?
10512*c
Let j(g) be the second derivative of -5*g**3 + 20*g**2 - 3*g. Let i(s) = 96 - 194 + 99. Let u(f) = -6*i(f) - j(f). Differentiate u(a) with respect to a.
30
Let c(k) be the third derivative of -23*k**7/210 + 3*k**6/4 - 115*k**4/24 - k**2 + 58*k + 4. Find the second derivative of c(b) wrt b.
-276*b**2 + 540*b
Suppose -11*l = -19*l + 104. Find the second derivative of -18*j**5 - 3*j + l*j**5 - 4*j**5 + 2 - 20*j wrt j.
-180*j**3
Suppose -20*u + 27*u = 588. Find the third derivative of u*j**2 + 81*j**2 - 9672*j**6 + 9660*j**6 - 2*j**3 wrt j.
-1440*j**3 - 12
Let f(b) = b**3 - 5*b**2 + 11*b - 22. Let v be f(4). Find the third derivative of -g**v + 6*g**6 + 4*g**5 - g**2 - 8*g**6 wrt g.
-360*g**3 + 240*g**2
Let j(t) be the first derivative of t**3/3 + 3*t**2 + 11*t - 37. Let w be j(-5). Find the second derivative of -o + w*o**5 + 0*o - 18*o**5 + 19*o**5 wrt o.
140*o**3
Let u(t) = 44*t**2 - 3*t + 2. Let q be u(-1). What is the derivative of -24*j - 70*j + 22 - q wrt j?
-94
What is the second derivative of 0*c**3 + 84*c - 16*c**3 + 2*c**3 - 193*c**5 + 3 + 14*c**3 wrt c?
-3860*c**3
What is the second derivative of -2*q**3 + 2*q**3 + 1 + 5085124*q - 5083880*q + 3265*q**4 wrt q?
39180*q**2
Let c(t) be the second derivative of 0*t**3 + 0*t**4 + 16*t**2 + 6*t + 23/20*t**5 + 6. Differentiate c(j) with respect to j.
69*j**2
Let s(y) be the second derivative of 313*y**5/20 + 320*y**4/3 - 217*y + 4. Find the third derivative of s(k) wrt k.
1878
Find the first derivative of 1438*w - 288 + 78 - 445*w - 712 - 733 wrt w.
993
Let u(r) = 2*r**2 - 9. Let a be u(-3). What is the second derivative of -52 - a*x**2 + x + 4*x**2 + 4*x**2 