08. Let i(l) = 7*p(l) - 2*z(l). Find the second derivative of i(u) wrt u.
-702
Let w = 225 - 225. Let h = 11 + -8. What is the third derivative of -4*y**h + w*y**2 + 0*y**2 - 2*y**2 + 25*y**3 wrt y?
126
Suppose -36 + 40 = z. Find the first derivative of 1863 - 2*o**z - 1848 - 3*o**4 wrt o.
-20*o**3
Suppose 4*j - 11 = 3*b, 3*j - 2*b = 5*j - 2. Find the third derivative of -24*u**2 + 40*u**j - 17*u**2 - 76*u**6 - 1 wrt u.
-9120*u**3
Let d(l) be the second derivative of 139*l**5/10 - 232*l**2 - 14*l + 9. What is the first derivative of d(y) wrt y?
834*y**2
Find the second derivative of -58*m**3 + 88*m**2 + 48*m**2 - 26*m**3 + 61*m**3 - 3200*m - 23*m**2 wrt m.
-138*m + 226
Let v = 67 + -19. Let o(b) be the first derivative of -10*b**3 + 20*b - v*b - 19 + 21*b. Differentiate o(u) wrt u.
-60*u
Let a(j) be the third derivative of j**5/10 + j**4 - 163*j**3/6 + 4255*j**2 - 2*j. What is the first derivative of a(f) wrt f?
12*f + 24
Let c(x) = -x - 4. Let m be c(-2). Let y(w) = 6*w - 4. Let l(b) = -b - 1. Let i(p) = m*y(p) - 4*l(p). What is the derivative of i(t) wrt t?
-8
What is the second derivative of -751*i**2 - 1803*i - 639*i**2 + 18*i**2 - i**2 + 185*i**2 - 2 wrt i?
-2376
Let i(r) = 2*r**2 - 40*r + 128. Let j be i(16). Let o(c) be the first derivative of j*c - 32 - 8*c**2 + 8/3*c**3. Find the second derivative of o(q) wrt q.
16
Let i(q) be the first derivative of -2*q**3/3 - 186*q**2 + 1137*q - 3165. What is the derivative of i(u) wrt u?
-4*u - 372
Let l(x) = x**3 + 3*x**2 + 9*x + 1. Let r(v) = 13065*v**3 + 18*v**2 + 11520*v + 6. Let o(h) = 6*l(h) - r(h). Find the second derivative of o(i) wrt i.
-78354*i
Let t(f) be the first derivative of -f**9/6 + 19*f**5/20 + 31*f**2/2 + 5. Let q(c) be the second derivative of t(c). What is the third derivative of q(d) wrt d?
-10080*d**3
Let v(h) = h**3 + 9*h**2 + 13*h + 3. Let f be v(-6). What is the second derivative of 43*u**5 - 27*u**5 + 58*u - f*u**5 wrt u?
-340*u**3
Let m = 122 + -113. Find the first derivative of m - 3 - 4 + 63*x**3 + 8 wrt x.
189*x**2
Let x(q) = q - 28. Let p be x(-11). Let s = 73 + p. What is the first derivative of -20*c**2 + 44 - s - 28 wrt c?
-40*c
Let u(y) be the second derivative of 115/3*y**3 - 38*y + 161/2*y**2 + 0. Find the first derivative of u(o) wrt o.
230
Let z(p) = -258*p**5 + 8*p**3 + 775*p - 4. Let g(c) = 516*c**5 - 18*c**3 - 1550*c + 9. Let n(q) = -4*g(q) - 9*z(q). What is the second derivative of n(b) wrt b?
5160*b**3
Let x(c) be the second derivative of 0*c**2 + 1/3*c**4 - 109/30*c**6 - 1/6*c**3 - 2 - 5*c + 1/20*c**5. Find the third derivative of x(k) wrt k.
-2616*k + 6
Suppose -5*a - 7 = 5*k - 37, 0 = 4*a + 3*k - 21. What is the third derivative of -3*z**4 - 2*z**4 - 4 + 6*z**4 - 13*z**2 + 20*z**2 - 3*z**a wrt z?
24*z - 18
Let r(b) = -b**3 - 6*b**2 - 16*b - 52. Let l be r(-5). Differentiate -101*v**2 + l + 61 - v - 26 + 56 + 15*v**2 with respect to v.
-172*v - 1
Let q(i) be the third derivative of -i**6/60 - 8*i**5/15 - i**4/12 + 5155*i**3/6 + i**2 + 177. Differentiate q(r) wrt r.
-6*r**2 - 64*r - 2
What is the second derivative of -1502*a**3 + 6666 - a + 5817 - 1923*a**3 - 13345 wrt a?
-20550*a
Suppose 55*z - 37*z - 90 = 0. Let g(w) = 94*w - 163. Let h(d) = -189*d + 327. Let c(t) = z*g(t) + 3*h(t). What is the first derivative of c(v) wrt v?
-97
Suppose -5*g + 2*p + 25 = 0, p + 7 + 7 = 3*g. Let y be 4 - -2 - (-2)/1. What is the third derivative of 10*r**2 + 17*r**4 - y*r**4 + 44*r**3 - 44*r**g wrt r?
216*r
Let g(x) = x**2 + 7*x - 3. Let o(p) = -2*p + 17. Let u be o(13). Let d be g(u). What is the first derivative of -4*v - 4*v + 17*v - d + 10*v wrt v?
19
Suppose -2*k + 50 = 3*d, 19 = -4*d + 3*k + 80. What is the third derivative of -6*y**6 - 2*y**5 - 12*y**6 - d*y**6 + 28*y**2 + 16*y**6 wrt y?
-2160*y**3 - 120*y**2
Let n(t) = 43*t**3 - 5*t**2 + 4*t + 9120. Let d(k) = -22*k**3 + 2*k**2 - 4558. Let v(o) = 5*d(o) + 2*n(o). What is the first derivative of v(g) wrt g?
-72*g**2 + 8
Let m = 25 - 24. Let q(s) = -2 - m + 4*s**2 - 16*s**2 - 4. Let k(c) = 13*c**2 + 8. Let u(a) = 3*k(a) + 2*q(a). What is the derivative of u(p) wrt p?
30*p
Let i = 632 + -630. What is the second derivative of -35*x**5 - 3*x**i + 16*x + 5*x - 16*x + 17*x wrt x?
-700*x**3 - 6
Find the third derivative of 393*v**3 + 146*v**3 - 262*v**3 + 2*v + 2 - 49*v**2 wrt v.
1662
Suppose 120*z - 483 = -94*z + 587. Let u(n) be the second derivative of z*n + 0 - 1/3*n**4 + 0*n**2 + 14/3*n**3. What is the second derivative of u(k) wrt k?
-8
Let o(n) be the second derivative of 126*n**6/5 + n**5/10 - 1503*n**2/2 - 383*n + 1. Find the first derivative of o(k) wrt k.
3024*k**3 + 6*k**2
What is the third derivative of 4*l**3 - 1632*l**4 - 838*l**4 - 630*l**2 - 2310*l**2 - 4*l**3 wrt l?
-59280*l
Let m(c) be the first derivative of 1452*c**5/5 - 3*c**2/2 - 162*c - 918. Find the second derivative of m(p) wrt p.
17424*p**2
Differentiate -820 - 992 - 786 + 153 - 564*t wrt t.
-564
Suppose -3*m + 173 = x, -56*x - 2*m + 512 = -53*x. What is the second derivative of -4*h**2 + x*h + 4*h**2 + 44*h + 7*h**2 - 4*h**2 wrt h?
6
Find the third derivative of -1453*v**2 - 1304*v**4 - 892*v**2 - 2*v**3 + 395*v**2 wrt v.
-31296*v - 12
Let r(n) = -24 - 6 - n**3 + n + 30. Let g(d) = 4*d - 3*d + 12*d**3 + 2*d - 31*d**2. Let u(j) = -g(j) + 3*r(j). What is the third derivative of u(p) wrt p?
-90
Suppose -4*n - 68 - 72 = 0. Let o = -32 - n. What is the first derivative of y**3 + 0*y**o - 2 + 0 - 21 wrt y?
3*y**2
Let b(k) = -504*k**2 + 18*k - 1074. Let p(w) = 2*w**2 - 3*w. Let c(h) = -b(h) - 6*p(h). Find the first derivative of c(s) wrt s.
984*s
Suppose -15 = -23*d + 31. Find the second derivative of -4*i + 4 + 127*i**2 + 3 - 31*i**2 + 24*i**d + 1 wrt i.
240
Let x(g) be the third derivative of -829*g**5/60 + 293*g**3/6 + 437*g**2. Find the first derivative of x(p) wrt p.
-1658*p
Suppose w = 5*c - 17, 4*c = -c - 4*w + 7. Find the second derivative of 3*h**5 - 35*h**3 + 29*h**c + 14*h**3 + 37*h**3 - 53*h wrt h.
60*h**3 + 270*h
Let b(k) be the first derivative of 710*k**3 - 5560*k + 738. What is the first derivative of b(w) wrt w?
4260*w
Let i(g) = -1462*g + 843. Let w(a) = 2943*a - 1687. Let z(q) = -7*i(q) - 4*w(q). What is the derivative of z(n) wrt n?
-1538
Let s = 64 + -4. Let z be (-24)/s + (-27)/(-5). What is the second derivative of -8*l**5 + 29*l - 7*l**5 + 2*l**z - 47*l wrt l?
-260*l**3
Suppose 5*t = t - 2*k + 56, 5*t + k = 76. Suppose 13*h + 27 = t*h. Differentiate h + 26 - 4 + 44*l**3 - 6 wrt l.
132*l**2
Find the second derivative of -1356*m - 207*m + 1630*m**2 - 1712*m + 107*m + 347*m wrt m.
3260
Let s(y) = 2007*y + 1468. Let p(l) = -4065*l - 2936. Let t(k) = 2*p(k) + 5*s(k). What is the first derivative of t(z) wrt z?
1905
Let h(f) be the first derivative of -2279*f**4/4 + 2*f**3/3 + 6*f**2 + 16*f - 6492. Find the third derivative of h(o) wrt o.
-13674
Let o(h) be the third derivative of 0*h**6 + 0*h**3 + 0*h - 61/112*h**8 + 1 + 11/24*h**4 + 0*h**5 + 0*h**7 - 59*h**2. Find the second derivative of o(t) wrt t.
-3660*t**3
Let a(b) = -3*b**4 + 29*b - 49. Let u(r) = 5*r**4 - 59*r + 101. Suppose -4137*m = -4144*m - 14. Let g(z) = m*u(z) - 5*a(z). Differentiate g(i) wrt i.
20*i**3 - 27
Let g = -67 + 69. What is the derivative of -9*v - v - 22 + g - 4 wrt v?
-10
What is the third derivative of 51*g**3 + 412*g**2 - 973*g**2 - 16*g**3 - 948*g**2 wrt g?
210
Suppose -18 = x - 24. What is the derivative of 9*s**3 + 56 - 14*s + 3*s + x*s + 3*s wrt s?
27*s**2 - 2
Let h(z) be the third derivative of 691*z**6/12 - 5761*z**4/24 + 25*z**2 - 2*z + 7. What is the second derivative of h(a) wrt a?
41460*a
Suppose -5*m + 9 = 2*w, -2*w + m + 29 = 2*w. Let r = -1 + w. Find the second derivative of -21*g + 2*g**5 - g**5 - r*g**5 - g**5 wrt g.
-120*g**3
Let c(g) be the second derivative of -119/2*g**2 - 59/30*g**6 + 0*g**3 + 0*g**5 - 66*g + 0*g**4 + 1. Differentiate c(n) with respect to n.
-236*n**3
Let b(z) be the third derivative of -19*z**7/1260 + 67*z**5/120 + 3*z**4/8 + 6*z**2 - 6. Let a(y) be the second derivative of b(y). Differentiate a(h) wrt h.
-76*h
Let t(l) be the second derivative of -711*l**5/10 - 485*l**4/4 - 805*l. What is the third derivative of t(r) wrt r?
-8532
Find the third derivative of -221*i**2 + 331*i**2 - 2978*i**2 - 2*i**4 + 0*i 