 65. Let n(d) = -d**3 + d - 3. Suppose -12*z + 57 = 7*z. Let b(m) = z*q(m) - 6*n(m). Differentiate b(c) wrt c.
-24*c**3 + 3
Let w(y) = 2539*y - 3094. Let j(s) = -s + 14. Let t(g) = 10*j(g) + 2*w(g). Find the first derivative of t(f) wrt f.
5068
Let b(n) = -n**2 - 1. Let f(x) = -12*x + 121. Let d be f(10). Let h(r) = -6*r**2 - 32*r + 60. Let p(l) = d*h(l) - 3*b(l). Differentiate p(z) with respect to z.
-6*z - 32
Let g = 266 - 152. Let n(h) be the first derivative of 4*h**3 + g*h + 0*h**3 - 114*h + 2 + 5*h**2. Find the second derivative of n(x) wrt x.
24
Suppose 7 = -x - 3*y, 5*x = y + 6 + 7. Find the third derivative of -w - 6*w - w**2 - 4*w**2 + 4*w**x + 109*w**3 wrt w.
654
Suppose 8 + 24 = 4*u. Suppose -15 = -3*t - 3*d, 4*t = d + d + u. What is the second derivative of 6*z**t - 6*z + 5*z**3 - 4*z**3 wrt z?
42*z
Let z(u) = -351*u**3 + 6*u**2 + 2530*u - 72. Let t(l) = l**2 - 12. Let d(h) = -6*t(h) + z(h). Find the second derivative of d(g) wrt g.
-2106*g
Let p(m) = 1933*m**3 - 1948*m**2 + 10. Let x(q) = 2578*q**3 - 2598*q**2 + 14. Let o(a) = -11*p(a) + 8*x(a). Find the third derivative of o(c) wrt c.
-3834
Let q(k) be the first derivative of 5/2*k**4 + 2/3*k**3 + 136*k + 0*k**2 - 103. Differentiate q(v) wrt v.
30*v**2 + 4*v
Let f(y) be the first derivative of -5*y**6/24 + 3*y**5/2 + 85*y**2/2 + 137. Let l(q) be the second derivative of f(q). Find the third derivative of l(h) wrt h.
-150
Let b(s) be the third derivative of -913*s**8/336 + 1163*s**5/30 - 1002*s**2. Find the third derivative of b(h) wrt h.
-54780*h**2
Find the third derivative of -13 + 970*m**3 - 94*m - 6*m**4 + 20*m**4 + m**2 - 12*m**4 + 20 + 2*m**6 wrt m.
240*m**3 + 48*m + 5820
Let l(v) = -v**2 - 8*v - 9. Let i = 20 + -26. Let m be l(i). What is the first derivative of -1 + 7*t**m - 5 + 3 wrt t?
21*t**2
Suppose q - 120 - 88 = 0. Suppose 0 = 5*d - 2*l + 320 - 1464, 5*d = 4*l + 1138. What is the second derivative of -3*o - d*o**3 + 18*o + q*o**3 - o wrt o?
-132*o
What is the third derivative of 89410*z**4 + 89381*z**4 - 178284*z**4 + 331*z**2 wrt z?
12168*z
Suppose -3*a + 9 = 2*c, -3 = -a - 2*c + 3*c. Let z = 22 + a. What is the third derivative of -z*x**2 + 0*x**3 + 6*x**2 - 3*x**3 wrt x?
-18
Let d(a) be the second derivative of 0*a**3 + 0*a**5 + 7/12*a**4 + 0*a**6 + 107/42*a**7 - 18*a + 0 + a**2. What is the third derivative of d(m) wrt m?
6420*m**2
Suppose -5*l + 3*y + 0*y = -40, 0 = y + 5. What is the third derivative of -36*c**2 + 22385 - 22385 + 2*c**3 - 6*c**l wrt c?
-360*c**2 + 12
Let k be 1/(1*1/(-11)). Let v be ((-1)/(-1))/(k/(-55)). What is the derivative of 4*y**4 + 13 + v*y**4 - 5 + 5 wrt y?
36*y**3
Let h(t) be the first derivative of 0*t**5 - 108/7*t**7 - 44/3*t**3 + 0*t**6 + 0*t**4 + 0*t - t**2 + 126. What is the third derivative of h(j) wrt j?
-12960*j**3
Suppose 20 = 7*l + 3*l. Find the third derivative of 74*m**3 + 1534*m + 2*m**l - 769*m - 750*m wrt m.
444
Let o(b) = 5*b + 4. Let h be o(-10). Let a = 54 + h. Find the first derivative of a - s**3 - 1 + 13*s**3 wrt s.
36*s**2
Let p(j) be the second derivative of 0 + 39*j - 16*j**2 + 25/6*j**3. Let a(z) = 24*z - 30. Let i(c) = 6*a(c) - 7*p(c). Find the first derivative of i(n) wrt n.
-31
Let t(b) be the second derivative of 59*b**5/10 - 4767*b**2/2 + 7591*b. Find the first derivative of t(v) wrt v.
354*v**2
Let z(q) = -q**3 - 4*q**2 + 8*q + 3. Let m be z(-6). Suppose 29*y - 152 = 21*y. Differentiate 11*u + 3*u + m - y*u wrt u.
-5
Let q = 6169 + -6169. Let u(n) be the second derivative of 13/30*n**6 + q + 5/3*n**4 + 0*n**3 + 0*n**5 + 0*n**2 + 6*n. Find the third derivative of u(v) wrt v.
312*v
Suppose -2*m = -7*z + 3*z - 42, -z = -5*m + 60. What is the derivative of 5*x**2 - 6*x**2 + 58 - 200 - 10*x**2 - m*x**2 wrt x?
-44*x
Let b be (50/(-6))/((-17)/51). Find the third derivative of -123*k**4 + 0*k + 162*k**4 + b*k**2 - 3*k wrt k.
936*k
Let y(z) be the first derivative of -110*z**4 - 536*z**3/3 - 1023. Find the third derivative of y(c) wrt c.
-2640
Let z(p) = 3*p**2 - p + 1. Let m(h) = 1556*h**3 + 27*h**2 - 6*h + 60. Let v(c) = m(c) - 6*z(c). Find the third derivative of v(t) wrt t.
9336
Let z(d) be the second derivative of d**6/30 - 54*d**5 - d**4/6 - d**3/3 - 3579*d**2/2 + 622*d - 7. What is the second derivative of z(y) wrt y?
12*y**2 - 6480*y - 4
Let k = 4767 - 4763. Let y(q) be the third derivative of -7/40*q**6 + 0*q + 23/6*q**3 + 0*q**k + 0 + 20*q**2 + 0*q**5. What is the derivative of y(t) wrt t?
-63*t**2
Let f(k) be the third derivative of k**7/35 + 43*k**6/60 + 25*k**4/24 - 4*k**3/3 - 383*k**2. What is the second derivative of f(a) wrt a?
72*a**2 + 516*a
Let u(z) be the second derivative of 31*z**7/42 + 3*z**5/20 + 179*z**4/2 - z**2 - 3685*z. Find the third derivative of u(l) wrt l.
1860*l**2 + 18
Differentiate -4*o**2 - 614 + 232*o**3 - 2822*o + 2822*o + 3*o**2 with respect to o.
696*o**2 - 2*o
Find the third derivative of 4411*u**2 + 2119*u**2 - 22*u**5 - 15213*u - 191*u**6 + 15213*u wrt u.
-22920*u**3 - 1320*u**2
Let g(l) = 2*l**4 - 14*l**3 + l - 1865. Let t(i) = -6*i**4 + 29*i**3 - 2*i + 3735. Let a(q) = 5*g(q) + 3*t(q). What is the first derivative of a(p) wrt p?
-32*p**3 + 51*p**2 - 1
Suppose 5*z + 2 = 12. Let v = 255 - 253. What is the second derivative of -9*p**v - 11*p**z - 3*p**2 - 35*p + 78*p wrt p?
-46
Let h(d) be the first derivative of 0*d**4 + 0*d**5 - 29/7*d**7 - 2 + 1/6*d**6 + 43/2*d**2 + 2/3*d**3 + 0*d. What is the third derivative of h(v) wrt v?
-3480*v**3 + 60*v**2
Let p(x) be the first derivative of 3*x**4/4 - 8*x**3/3 + 5*x**2 - 5013*x + 4652. What is the derivative of p(z) wrt z?
9*z**2 - 16*z + 10
Let g(z) be the third derivative of 0*z**3 + 0*z - 4*z**2 + 15/4*z**4 + 2/5*z**5 + 1. Find the second derivative of g(t) wrt t.
48
Let h(k) be the third derivative of 0*k**4 + 19*k**2 + 13/120*k**6 - 1 + 0*k + 1/20*k**5 - 7/3*k**3. What is the third derivative of h(f) wrt f?
78
Find the second derivative of -3573*n**3 + 956*n**5 + 1273*n + 3573*n**3 wrt n.
19120*n**3
Let d(k) = 13*k**3 - 1. Let a(w) = w**2 - 6*w + 10. Let s be a(3). Let o be d(s). Differentiate -o + 155*b**3 - 7 - 124*b**3 with respect to b.
93*b**2
Differentiate 117*v**4 - 334*v + 15 + 331*v + 2130 + 1264 wrt v.
468*v**3 - 3
Differentiate 50262*g + 53699*g - 151950*g - 386 + 55200*g with respect to g.
7211
Differentiate -542*g - 124*g - 1391 + 854 - 292 - 5062 with respect to g.
-666
Let g(d) be the first derivative of -d**6 - 10*d**3/3 - 7103*d**2 + 13824. What is the second derivative of g(m) wrt m?
-120*m**3 - 20
Suppose -3 + 125 = 2*q. Let h = -34 + q. Differentiate 89 - 29 - 23 - 4*b - h with respect to b.
-4
Let c(y) be the second derivative of -67*y**8/56 - y**7/21 - y**6/30 + 95*y**4/12 - y**3/3 - 5*y**2/2 - 3188*y. Find the third derivative of c(z) wrt z.
-8040*z**3 - 120*z**2 - 24*z
Let m(k) = k**3 + 6*k**2 - 6*k + 11. Let l be m(-7). Suppose -5*f - l = -19, -h + 1 = -f. Differentiate -7 - n**4 - 3*n**2 + 3*n**2 - 17*n**h wrt n.
-72*n**3
Let d be (-3 + (-750)/18)/(4/(-6)). What is the third derivative of d*n**2 + 22*n**3 + 106*n**3 - 3*n**3 wrt n?
750
What is the second derivative of -1655*v**3 - 4837*v**3 + 1486*v**3 - 4332*v**2 + 2 + 4332*v**2 + 595*v wrt v?
-30036*v
Suppose 0 = 5*t + 2*v - 154, 2*t + 3*t - 175 = 5*v. What is the second derivative of -11025*y - y**4 + 10976*y + y**4 - t*y**5 wrt y?
-640*y**3
Let d be (26/(-4) + 6)*-90. Let z be 2/3 + 164/6. Find the third derivative of -d*i**2 - i**3 + i**3 + 67*i**2 - z*i**5 wrt i.
-1680*i**2
Let m(x) = -x**4 + x**2 - x - 1. Let j(y) = -4*y**4 - 57*y**3 + 3*y**2 - 3*y + 121. Let p = -24 + 21. Let r(q) = p*m(q) + j(q). Differentiate r(o) wrt o.
-4*o**3 - 171*o**2
Find the second derivative of 7295*p - 4006*p**2 + 4895 - 8845*p**2 - 4897 wrt p.
-25702
Let q(y) be the first derivative of -18 + 0*y**2 + 0*y - 17*y**5 + 40/3*y**3 + 0*y**4. Find the third derivative of q(i) wrt i.
-2040*i
Let h(d) be the first derivative of 2613*d**2/2 - 947*d + 1289. Differentiate h(t) wrt t.
2613
Let i(l) = 559*l**2 + 472*l - 25. Let j(k) = -1673*k**2 - 1417*k + 70. Let d(n) = -14*i(n) - 5*j(n). Find the second derivative of d(a) wrt a.
1078
What is the derivative of -517 + 46*g + 460*g - 209*g + 230*g + 433*g wrt g?
960
Let d = 5755 - 2174. Find the first derivative of -d*l