 48. Suppose k*z = 13*z - 342. Find the second derivative of 22*b + 7*b**3 - z*b + 25*b wrt b.
42*b
Suppose -u + 2 = d, d - u - 2 = -0*u. Let p(o) = -o**2 + 4*o - 1. Let k be p(d). Find the third derivative of -12*r**k + 0*r**2 + 13*r**3 + 8*r**2 wrt r.
6
Let c(m) = -2*m**4 + m**2 - m + 13. Let b(p) = 5244*p**4 + 3*p**2 - 208*p + 30. Let x(i) = -b(i) + 2*c(i). Find the third derivative of x(d) wrt d.
-125952*d
Let a(x) be the third derivative of x**7/210 - x**6/60 - x**5/6 - 475*x**3/2 + 10*x**2 + 20*x - 1. What is the first derivative of a(f) wrt f?
4*f**3 - 6*f**2 - 20*f
Let a(y) be the third derivative of y**6/12 + 29*y**5/60 + 161*y**4/8 - y**3/3 + 3240*y**2. Find the second derivative of a(l) wrt l.
60*l + 58
Find the third derivative of 171*u**2 - 611*u**4 + 632*u**3 - 632*u**3 - 577*u**2 - 609*u**2 wrt u.
-14664*u
Let s(q) = 5893*q**4 + 21*q**2 - 14*q + 2903. Let o(n) = 1964*n**4 + 6*n**2 - 4*n + 968. Let m(r) = 7*o(r) - 2*s(r). Find the first derivative of m(x) wrt x.
7848*x**3
Let k(f) be the first derivative of -44*f + 44 - 38066*f**5 - 10 + 38077*f**5. Differentiate k(j) wrt j.
220*j**3
Let i(o) be the second derivative of 25*o**6/2 + 543*o**3/2 - 662*o. What is the second derivative of i(g) wrt g?
4500*g**2
Let k(f) = -32693*f**4 - 12376*f - 14. Let v(r) = 8173*r**4 + 3095*r + 3. Let o(x) = 2*k(x) + 9*v(x). What is the second derivative of o(i) wrt i?
98052*i**2
Let b = -9284 + 9284. Let f(a) be the first derivative of 0*a + b*a**4 + 1/6*a**6 - 11/2*a**2 + 28 + 0*a**5 + 0*a**3. Find the second derivative of f(x) wrt x.
20*x**3
Let a be 187/9 - 26/(-117). What is the third derivative of -a*z**6 + 23*z**6 - 2*z**4 + 8*z**2 + 33*z**6 wrt z?
4200*z**3 - 48*z
Let q be 13 + (-8)/(32/(-20)). Suppose -5*k + 15 = 5. What is the third derivative of -2*j**2 + 13*j**k + q*j**3 + 10*j**2 wrt j?
108
Let z(y) be the third derivative of -y**6/20 - 47*y**5/20 - 17*y**4/3 - y**3/6 + 274*y**2 - 12. What is the second derivative of z(k) wrt k?
-36*k - 282
Let h(y) be the third derivative of 0*y**3 + 0*y**6 + 3*y**2 - 7/60*y**5 - 1/15*y**7 + 1/8*y**4 + 0*y - 1. What is the third derivative of h(x) wrt x?
-336*x
Let q = 310 + -287. Find the third derivative of -q + 68*z**3 - 25 - 7*z**2 + 49 wrt z.
408
Let l be ((-2)/(-8))/(32/1792). Find the third derivative of 0*k**3 + 11*k**4 + 2*k**3 - 18*k**4 - 34*k**2 + l*k**2 wrt k.
-168*k + 12
Let y(c) = 14*c + 76. Let t(r) = -5*r - 26. Let p(w) = 17*t(w) + 6*y(w). Let i be p(5). What is the first derivative of -7*d - 11*d + i*d - 18 wrt d?
-9
Let c(f) be the second derivative of 859*f**5/20 + 555*f**2/2 - 1069*f. Differentiate c(n) with respect to n.
2577*n**2
Let c(k) be the second derivative of -15*k**8/56 - 15*k**7/14 + k**4/6 - 8*k**3/3 - 893*k. What is the third derivative of c(u) wrt u?
-1800*u**3 - 2700*u**2
Let h = 173 - 47. Differentiate 193*j - h*j + 14 + 20 wrt j.
67
Suppose 6 = -2*f - s - 0*s, -2*f + 4*s = 26. Let b = f + 8. What is the second derivative of 4*p + 21*p**3 + b*p - 26*p wrt p?
126*p
Let b(t) = -10*t + 21. Let c be b(1). Find the second derivative of -k + c - 35*k**2 + 17*k + 6 - 14 wrt k.
-70
Let k(i) be the second derivative of -i**7/21 + 2*i**6/15 - 27*i**5/4 - 1943*i**4/12 + i**2 + 1627*i. What is the third derivative of k(x) wrt x?
-120*x**2 + 96*x - 810
Let m(g) be the third derivative of -g**7/35 - 7*g**5/60 - 217*g**4/12 - 2034*g**2. What is the second derivative of m(k) wrt k?
-72*k**2 - 14
Let o(y) = -y**2 - 24*y - 14. Let g be o(-7). What is the third derivative of 53 - g*i**4 - 2*i**2 - 27*i**4 - 90 wrt i?
-3168*i
Suppose -8*w + j = -3*w - 15, -3*j + 3 = w. What is the second derivative of -h - 48*h**3 - h + h**w - 4 wrt h?
-282*h
Suppose -3*y = p - 24, p = -4*y + 7*y - 24. Differentiate 9*h - 2*h**2 - 9*h + 2*h + y*h**2 - 71 with respect to h.
12*h + 2
Let h(j) be the first derivative of -1338*j**5/5 - j**4/4 - j**2 - 2823*j + 2352. Find the first derivative of h(y) wrt y.
-5352*y**3 - 3*y**2 - 2
Let c(m) be the first derivative of m**7/7 + 623*m**5/5 + 1411*m**3/3 + 889. What is the third derivative of c(k) wrt k?
120*k**3 + 14952*k
Let r(q) be the second derivative of -2*q**7/7 - 41*q**3/3 - 2*q**2 + 236*q. Let d(y) be the first derivative of r(y). Find the first derivative of d(j) wrt j.
-240*j**3
What is the second derivative of 4*t - 2378 - 2*t - 1399*t**2 - 1238*t**2 - 361*t**2 wrt t?
-5996
Find the third derivative of -2*z**4 + 2*z**4 + 79*z**5 - 260*z**2 - 254*z**6 - 251*z**6 + 503*z**6 wrt z.
-240*z**3 + 4740*z**2
Suppose 3*j + 4 = 4*g - 37, -5*g = -5*j - 45. Suppose 0 = -3*w + 10*w - g. What is the first derivative of h**2 - 23*h + w + 23*h - 8 wrt h?
2*h
Let u be (-12)/6*(-27)/2 + -1. Suppose 0 = -2*j - 2*m + u + 30, 3*j = -4*m + 79. What is the derivative of 1965*s + j + 28*s**4 - 1965*s wrt s?
112*s**3
Let d(k) = -19*k**2 - 7525*k - 6802. Let q(m) = 12*m**2 + 3763*m + 3397. Let g(l) = 3*d(l) + 5*q(l). Find the first derivative of g(w) wrt w.
6*w - 3760
What is the second derivative of -4422*u + 912*u**4 - 1697*u**4 + 13*u**3 + 769*u**4 wrt u?
-192*u**2 + 78*u
Let o(k) = 31*k**3 + 64*k**2 + 7*k + 7347. Let u(n) = 63*n**3 + 133*n**2 + 17*n + 14694. Let h(m) = -5*o(m) + 2*u(m). Differentiate h(v) wrt v.
-87*v**2 - 108*v - 1
What is the second derivative of 107*b**2 - 27*b**2 - 18*b**2 - 62*b**2 - 5033*b**3 - 3315*b wrt b?
-30198*b
Suppose 2*p = -365 + 107. Let t = -127 - p. What is the first derivative of 45 + 48*o**t + 57*o**2 - o - 126*o**2 wrt o?
-42*o - 1
Let t = 0 + 5. Suppose 4*h - o = 55, -2*o - t = 3*h - 38. Find the second derivative of h*p**3 + 19*p + 137 - 137 wrt p.
78*p
Suppose 0 = 3*v - 12, -5*s + 3*s - v + 14 = 0. Find the second derivative of -3*n**5 + n**s + 703*n**3 - 703*n**3 + 5*n**2 - n + 22 wrt n.
-40*n**3 + 10
Suppose 0*d + 5*z = -d + 3, -3*z + 9 = 3*d. Differentiate 12 + 7 - 7*h**3 + d*h**3 - h**2 + 2*h**3 wrt h.
-6*h**2 - 2*h
Find the first derivative of 205*m + 15*m - 1337 - m**2 - 72*m wrt m.
-2*m + 148
Suppose k - 30 = -4*k. Let r(w) = 4*w**4 - 5*w**3 + 14*w**2 + 6*w. Let i(f) = -f. Let n(p) = k*i(p) + r(p). Find the third derivative of n(b) wrt b.
96*b - 30
Suppose -4 = v, 4*n + 78 = 6*n + v. Let u = 64 - n. Find the third derivative of 12*j**2 + u*j**3 + 0*j**3 - 8*j**3 wrt j.
90
Suppose 92 = 16*f + 7*f. What is the second derivative of -m**f + 379*m**5 - 473*m**5 - 2*m + m**4 - 40 wrt m?
-1880*m**3
Suppose 121 = 2*k + f, 2*k + 5*f - 300 = -3*k. Find the second derivative of -12*q - 8*q + k*q + 49*q + 13*q**2 wrt q.
26
Let h(f) = 3*f**2 - 2*f + 2. Let t be h(1). Suppose -a + 22 = y, 1 = y + t*a - 29. Differentiate 4*m**3 - 17*m**3 - 5*m**3 - 5*m**3 - y with respect to m.
-69*m**2
Let k(j) be the second derivative of -1519*j**4/6 - 4375*j**2/2 + 9*j + 194. Differentiate k(q) wrt q.
-6076*q
Find the third derivative of 22177 - 4650*s**3 - 22109 - 43*s**2 + 13465*s**3 wrt s.
52890
Let z(i) be the second derivative of 15*i**7/7 + i**6/10 + i**5/20 + 14869*i**4/12 + 4607*i. What is the third derivative of z(v) wrt v?
5400*v**2 + 72*v + 6
What is the third derivative of 52*b**2 + 88*b**2 - 2414*b**6 - 199*b**2 wrt b?
-289680*b**3
Let i(l) be the third derivative of 0*l**3 - 92*l**2 - 1/3*l**4 + 0*l + 0 + 0*l**5 - 1/120*l**6 - 1/105*l**7. What is the second derivative of i(z) wrt z?
-24*z**2 - 6*z
Suppose 1288*t = 1291*t - 6. What is the derivative of 0*q**2 + 3*q**t - 8 - q**2 + 34*q wrt q?
4*q + 34
Let x(l) = -3*l**2 + 1. Let k(w) = 1760*w**2 + 9056. Let r(u) = -k(u) + 6*x(u). Differentiate r(q) wrt q.
-3556*q
Suppose 5*a - 46 + 1 = 0. Find the second derivative of 11 + 6*p + a*p - 65*p**5 + 9*p - 25*p wrt p.
-1300*p**3
Let c = -5340 + 5344. Let r(m) be the first derivative of 0*m + 0*m**c + 0*m**3 - 1/2*m**2 + 16/5*m**5 - 10. Find the second derivative of r(d) wrt d.
192*d**2
Let b(i) be the third derivative of 0*i**5 - 1/12*i**6 + 11 - 1/70*i**7 - 7*i**2 + 0*i + 7/3*i**4 + 1/6*i**3. Find the second derivative of b(a) wrt a.
-36*a**2 - 60*a
Let q(b) = 1022*b**2 + 2141*b + 4. Let g(y) = 7155*y**2 + 14985*y + 27. Let j(p) = -4*g(p) + 27*q(p). What is the second derivative of j(o) wrt o?
-2052
What is the second derivative of 663*v**2 - 364*v**5 - 134*v - 1321*v**2 - 309*v + 661*v**2 + 110*v**5 wrt v?
-5080*v**3 + 6
Find the first deriv