et x(b) = -6*o(b) - 7*w(b). Find the third derivative of x(k) wrt k.
32904*k
Suppose 5*t - 2*t + 9 = 3*c, -5*c + 4*t = -11. Let n be (-2 - 212/(-24)) + c/(-6). What is the second derivative of -1 - n*v + 1 + 17*v - 8*v**5 wrt v?
-160*v**3
Let y(g) be the first derivative of 2*g - 22 - 11*g**3 + 5/2*g**2. Find the second derivative of y(m) wrt m.
-66
Find the second derivative of -12*c**2 - 71*c + 47*c**3 + c**2 - 9*c**2 + 8*c**2 wrt c.
282*c - 24
Let f(n) be the first derivative of n**7/7 - 115*n**6/6 + 23*n**5/5 + 1342*n**3 - n - 4410. Find the third derivative of f(z) wrt z.
120*z**3 - 6900*z**2 + 552*z
Let q(c) be the first derivative of -126 - 209*c + 81/2*c**2. Differentiate q(j) with respect to j.
81
Let h = 50 - 31. What is the derivative of -31 + h - 48 + 21*d**2 + 20*d**2 wrt d?
82*d
Let q(g) be the third derivative of 121*g**6/30 + 337*g**4/12 + 1449*g**2. Find the second derivative of q(y) wrt y.
2904*y
Find the first derivative of 65 - 366 + 917 + 2009 - 110*m**2 wrt m.
-220*m
Differentiate -16*h + 16*h - 98*h**2 + 904 - 180 wrt h.
-196*h
Find the third derivative of 7*u**4 - 5*u - u**3 + 5*u - 741*u**2 + 9*u**3 - 5*u**3 wrt u.
168*u + 18
Let l(t) be the first derivative of 53*t**6/120 - 85*t**4/8 - 37*t**3/3 + t**2/2 - 121. Let o(n) be the third derivative of l(n). Differentiate o(p) wrt p.
318*p
Let f(p) = p**2 - p - 1. Let q be (-5)/10 - (-3)/2. Let r(b) = 19*b**2 + b + 154. Let w(z) = q*f(z) + r(z). What is the derivative of w(a) wrt a?
40*a
Let b = 103 - 100. Let i(t) = -t**4 - 22*t**3 + 3*t**2 - 3*t + 4. Let q(g) = -g**3 + g**2 - g. Let v(d) = b*q(d) - i(d). What is the derivative of v(c) wrt c?
4*c**3 + 57*c**2
Suppose -9*v + 69 = -6*v. Suppose w - v = -2. Find the second derivative of -11*l + 56*l - 6*l - 21*l + w*l**2 wrt l.
42
Differentiate -2884 - 2281 + 720 - 1178*o - 3051*o - 805 with respect to o.
-4229
Let g(x) = -2*x - 1. Let w be g(-4). Let u be -2*((-2)/w - 12673/14). What is the second derivative of -u + 1811 + 8*p - 13*p**3 wrt p?
-78*p
Suppose 0 = -5*l + 4*l - 23. Let f be (1 + l/2)*-2. Find the second derivative of f*v - 14*v - 26*v + 14*v**4 wrt v.
168*v**2
Let v(p) be the first derivative of 0*p**3 + 25/2*p**6 + p + 0*p**4 + 0*p**5 - 23 + 3/2*p**2. Find the second derivative of v(t) wrt t.
1500*t**3
Let h(a) be the third derivative of -1/120*a**6 + 3*a + 3/8*a**4 - 3/70*a**7 + 0*a**5 + 0 + 0*a**3 - 10*a**2. What is the second derivative of h(z) wrt z?
-108*z**2 - 6*z
Let l(w) be the second derivative of 83/2*w**2 + 0*w**3 + 9/2*w**4 + 10*w - 2. Find the first derivative of l(h) wrt h.
108*h
Let s be 46/(5/(-10) + 1). Let p = -48 + s. What is the derivative of -31*i**4 + p*i**4 + 11*i**4 + 8 wrt i?
96*i**3
Let f be (-7)/21 + (-12)/(-18). Let n(x) be the second derivative of 0 - 5*x + 0*x**2 - f*x**4 - 11/6*x**3. Find the second derivative of n(s) wrt s.
-8
Suppose 3*r + 12 = 0, 187 = -3*b + 6*r - r. Let z = b - -71. What is the second derivative of z*q**4 + 84*q**2 - 44*q**2 - 40*q**2 - 16*q wrt q?
24*q**2
Let n = 63 + -58. Suppose 2*o = -5*j + 4, -3*o + 24 = -n*j - 7. What is the second derivative of -13*x**2 + o*x - 6 - 6*x**2 + 6 wrt x?
-38
Let o(t) be the first derivative of 368*t**5 - 1000*t**3/3 - 435. Find the third derivative of o(h) wrt h.
44160*h
Let l be (7/(-14) + 0 + 0)*0. Let h(n) be the second derivative of -3/5*n**5 + 0 + 0*n**4 + l*n**3 - 7/2*n**2 + 3*n. Find the first derivative of h(z) wrt z.
-36*z**2
Let x(q) be the second derivative of -137*q**5/20 + q**4/4 + q**3/6 - 694*q**2 - 7570*q. Find the second derivative of x(w) wrt w.
-822*w + 6
Suppose -3*d = -4*d + 2*p + 5, 0 = -3*d - 3*p + 6. What is the third derivative of -128*j**2 - 9*j**3 + 41*j**d + 8*j**3 + 142*j**2 wrt j?
240
Suppose -8*n = -7*n. Suppose 0*f - 13*f + 26 = n. What is the second derivative of -f*x - 1 - 16*x**4 - 2*x**4 + 1 wrt x?
-216*x**2
Let a = 13595 + -271873/20. Let b(p) be the second derivative of 0 + 23/2*p**2 + a*p**5 + 0*p**3 + 0*p**4 + 17*p. What is the first derivative of b(t) wrt t?
81*t**2
Suppose 0 = 5*f + 2*a - 199, -4*f + 2*a = -8*f + 158. What is the derivative of -131 - 64 + f*q + 113*q - 47*q wrt q?
107
Let v(x) be the first derivative of 1/5*x**5 - x + 0*x**2 + 24 - 5*x**3 + 11/4*x**4. What is the third derivative of v(h) wrt h?
24*h + 66
Suppose -33*x - 31*x = -53*x - 33. Let o(l) be the first derivative of 0*l + 0*l**x - 1/2*l**4 - 47 - 37/2*l**2. What is the second derivative of o(v) wrt v?
-12*v
Let g(o) = -116*o**2 - 27*o - 10582. Let j(k) = 123*k**2 + 25*k + 10581. Let t(r) = 3*g(r) + 4*j(r). Differentiate t(v) with respect to v.
288*v + 19
What is the derivative of -7*v**2 - 2462 - 76*v**3 + 1526 + 3545 wrt v?
-228*v**2 - 14*v
Let n(v) be the first derivative of 701*v**5/5 + 152*v**3/3 + 4*v - 1767. What is the third derivative of n(l) wrt l?
16824*l
Let v(b) be the first derivative of 4*b**6/3 - 17*b**4/6 + 30*b - 54. Let f(h) be the first derivative of v(h). What is the third derivative of f(i) wrt i?
960*i
Let x(m) be the second derivative of -129*m**5/4 + m**3/2 - 81*m**2/2 + 796*m. Find the second derivative of x(j) wrt j.
-3870*j
Let p(c) = c - 1. Let m(d) = -24*d - 1. Let v(i) = -m(i) - 4*p(i). Let o(x) = 2*x. Let t(s) = -5*o(s) - v(s). Differentiate t(f) wrt f.
-30
Let x(f) be the second derivative of 0*f**3 + 0*f**4 - 119/30*f**6 + 0 - 191/2*f**2 - 91*f + 0*f**5. Differentiate x(o) wrt o.
-476*o**3
Suppose 4*u - 31 = -4*f - u, 3*u + 39 = 4*f. Suppose -f*h + 6*h + 60 = 0. What is the second derivative of -3*r - 4*r**5 + h*r**5 - 4*r - 11*r**5 wrt r?
100*r**3
Let t be (-426)/639 - 68/(-3). Let u(r) be the first derivative of 0*r**2 + 28/3*r**3 - 3/4*r**4 + 0*r - t. Find the third derivative of u(d) wrt d.
-18
What is the third derivative of -1838*r**2 + 1 + 3*r - 11*r + 3608*r**2 - 1800*r**2 + 1314*r**3 wrt r?
7884
Let y(u) = -26841*u + 3382. Let k(z) = 5368*z - 677. Let n(i) = -16*k(i) - 3*y(i). What is the first derivative of n(q) wrt q?
-5365
Let w = -26 + 34. Suppose -113 - w = -11*v. Find the second derivative of 0*q + 8*q**4 - 5*q - 8*q + v*q**4 wrt q.
228*q**2
Let k(f) be the second derivative of -177*f**4/2 - 1805*f**2/2 + f - 2506. Find the first derivative of k(i) wrt i.
-2124*i
Let y(v) = 2601*v**3 - 56*v**2 - 3*v - 7096. Let t(m) = -3469*m**3 + 77*m**2 + 4*m + 9461. Let i(s) = 8*t(s) + 11*y(s). Differentiate i(g) wrt g.
2577*g**2 - 1
Let c(z) be the first derivative of 127*z - 121 + 8*z**2 + 12*z**2 + 0*z**2. What is the first derivative of c(l) wrt l?
40
Let x(d) be the first derivative of d**6/6 + 2*d**4 + 4*d**3/3 - d**2 + 3425*d + 9281. What is the second derivative of x(m) wrt m?
20*m**3 + 48*m + 8
Let z be 574/112 - 1/8. Differentiate -z + 11 - 8 + 12 - 30*r with respect to r.
-30
Let r(f) be the first derivative of 1/3*f**3 + 11 + 3*f**2 + 0*f + 1/24*f**4. Let c(j) be the second derivative of r(j). Differentiate c(v) with respect to v.
1
Suppose -20*k + 187 = 67. Differentiate -k*r - 11154*r**4 + 11150*r**4 + 186 - r wrt r.
-16*r**3 - 7
Let h(p) be the third derivative of 7*p**6/8 + p**5/4 + 6679*p**4/24 - 445*p**2. What is the second derivative of h(g) wrt g?
630*g + 30
Let k(x) be the second derivative of -601*x**4/12 - 891*x**2/2 + 245*x. What is the derivative of k(s) wrt s?
-1202*s
Suppose 5*b - 4 = -3*m, -2*m + 7*m + 5*b - 10 = 0. Differentiate -j - 28*j**3 + j + 14*j**m - 321 with respect to j.
-42*j**2
Let y(i) be the third derivative of 73*i**8/14 + 9*i**5/20 + i**3 + 14*i**2 - 11*i. Find the third derivative of y(b) wrt b.
105120*b**2
Let b(y) be the third derivative of 97*y**5/30 - 411*y**3 + 2028*y**2. Differentiate b(j) with respect to j.
388*j
Let n(t) be the second derivative of t**5/20 - 19*t**4/6 - 4*t**3/3 + 2125*t**2 - 17*t. Find the first derivative of n(j) wrt j.
3*j**2 - 76*j - 8
Let k(u) be the second derivative of -629*u**3/3 + 199*u**2 - 5*u + 1451. Differentiate k(b) with respect to b.
-1258
Let w be 401 + -3 - 1 - 3. What is the third derivative of 414*f**3 - w*f**3 + 102*f**2 + 7*f**2 wrt f?
120
Let g(s) be the first derivative of 8*s**5/5 + 101*s**4/4 + 248*s**2 + 127. Find the second derivative of g(y) wrt y.
96*y**2 + 606*y
Let w(x) be the second derivative of 0*x**3 - 3/5*x**5 + 0 + 0*x**2 - 53*x + 29/12*x**4. Find the third deriva