**4 - 5*a - f*a**2 + 15 - 8*a**2 + 32*a**2 wrt a.
1824*a**2
Let o(v) be the third derivative of 13*v**8/48 - v**7/35 - v**6/60 - v**5/60 - v**4/24 - 2*v**3 - 1044*v**2 + 4*v. Find the third derivative of o(a) wrt a.
5460*a**2 - 144*a - 12
Find the second derivative of -504*g + 510*g - 345*g**2 - 245*g**2 + 1186*g wrt g.
-1180
Let r(j) be the third derivative of 0*j**6 + 5/4*j**4 + 30*j**2 + 0*j**3 + 191/210*j**7 - 1/30*j**5 + 0 + 0*j. Find the third derivative of r(a) wrt a.
4584*a
Let y(h) = h**3 + 2*h**2 - h - 1. Let k(u) = -u**5 - 16*u**3 + 4*u**2 + 617*u - 2. Let p(q) = 3*k(q) - 6*y(q). What is the second derivative of p(r) wrt r?
-60*r**3 - 324*r
Let m(r) be the third derivative of -3/8*r**4 + 37*r + 2*r**2 + 0*r**3 - 4/15*r**5 + 0. Find the second derivative of m(c) wrt c.
-32
Let t(a) be the first derivative of 1565*a**4/2 + 4*a**3 + 2*a + 3076. What is the third derivative of t(i) wrt i?
18780
Let d(h) be the third derivative of 59*h**6/20 - h**5/60 - 185*h**4/24 - h**3/2 + 3*h**2 - 8*h. What is the second derivative of d(i) wrt i?
2124*i - 2
Let u(v) be the first derivative of 57*v**5/10 - 209*v**4/12 + 25*v + 138. Let x(k) be the first derivative of u(k). Find the third derivative of x(d) wrt d.
684
Let x(p) be the first derivative of -2*p**3/3 - 660*p**2 + 2555*p + 837. What is the derivative of x(f) wrt f?
-4*f - 1320
Let m(i) = 2*i**5 - 8*i**4 + 6*i**3 - 82*i**2 - 47*i + 52. Let k(d) = d**4 - d**3 + d. Let p(f) = -8*k(f) - m(f). What is the second derivative of p(b) wrt b?
-40*b**3 + 12*b + 164
Let r(p) = -p**2 - 17*p + 20. Let y(z) = z**3 - 2*z**2 - z - 18. Let u be y(0). Let d be r(u). What is the derivative of -m**3 - 3*m**3 + 0 + d*m**3 - 18 wrt m?
-6*m**2
Find the third derivative of -3*j**3 - 611*j**5 - 537*j**5 + 941*j**5 + 448*j**2 + 3*j**3 wrt j.
-12420*j**2
Suppose -2*i - 1 = -3*i, -3*z = i - 73. Find the second derivative of 3*x + x**2 + 20 + 18 - 37 + z*x**3 wrt x.
144*x + 2
Let l(y) = y**3 - 3*y**2 + 6*y - 5. Let o be l(2). Suppose -o*a = -2*i - 0*a + 23, 3*a = -9. Differentiate 2 + 2*u + i*u - 10*u with respect to u.
-1
Let f(p) = 16339*p + 5 + 30*p**2 - 3 - 16336*p. Let y(t) = -2*t**2 - t + 1. Let u(n) = f(n) + 3*y(n). What is the first derivative of u(b) wrt b?
48*b
Let t(g) be the first derivative of -3014*g**3 - 7613*g + 5538. Differentiate t(l) wrt l.
-18084*l
Suppose 2*t + 10 = 5*u, 5*t - 43 = -3*u - 6. Find the second derivative of 498*w + 26*w**5 - 706*w - 2*w**2 + 2*w**2 - 225*w**t wrt w.
-3980*w**3
Let p(i) be the third derivative of 1/20*i**5 + 0*i**3 - 13/30*i**7 + 1/60*i**6 + 7/12*i**4 - i + 48*i**2 + 0. Find the third derivative of p(r) wrt r.
-2184*r + 12
Let f(u) be the first derivative of -6*u**5/5 - 134*u**3/3 + 447*u**2 + 2138. Find the second derivative of f(t) wrt t.
-72*t**2 - 268
Let f(z) be the first derivative of 2*z**7/7 - 13*z**6/3 - 13*z**4/4 - 1330*z**3 - 3947. Find the third derivative of f(y) wrt y.
240*y**3 - 1560*y**2 - 78
Let k(v) = 3*v**2 - 6*v + 1406. Let z(u) = 14*u**2 - 23*u + 5625. Let d(y) = 9*k(y) - 2*z(y). Differentiate d(h) wrt h.
-2*h - 8
Let a be (15/550)/(144/264). Let m(t) be the third derivative of 11*t**2 + 5/24*t**4 + 0 + a*t**5 + 0*t + 0*t**3. What is the second derivative of m(i) wrt i?
6
Let p(b) = 7*b**2 + 2*b - 1. Let u be p(-2). What is the second derivative of 37*n - 12*n**5 - 9*n**5 + u*n**5 + 17*n + 27*n**2 wrt n?
40*n**3 + 54
Let p(v) be the second derivative of -57/20*v**5 - 58*v + 0*v**3 + 0*v**4 + 0 - 75/2*v**2. What is the derivative of p(w) wrt w?
-171*w**2
Let n(c) = 185*c**3 - 28*c**2 + 18*c - 14. Let s(x) = -2*x**2 - 3*x - 2. Let a(f) = n(f) + 6*s(f). Find the third derivative of a(p) wrt p.
1110
Let v(r) be the third derivative of -2163*r**6/40 + 1733*r**5/20 - 473*r**2 - 2*r. What is the third derivative of v(n) wrt n?
-38934
Suppose -6*c = 7 + 29. Let f(d) = 2*d**3 + 11*d**2 - 5*d + 12. Let t be f(c). What is the first derivative of -t*s**2 - 13 - 29*s**3 + 6*s**2 wrt s?
-87*s**2
Let x be (3 - -2)/(2/4). Let p(q) = q**3 - 8*q**2 + 4*q - 1. Let m be p(x). What is the second derivative of -3*j - 243*j**3 + j + m*j**3 wrt j?
-24*j
Let i(y) be the first derivative of -2*y**2 - 2/3*y**3 - 2*y - 5 + 1/4*y**4. What is the second derivative of i(q) wrt q?
6*q - 4
Let a(g) = -358*g**3 + 434*g**2 + 5. Let u(c) = -2*c**3 + c**2 + 1. Let l(b) = -a(b) + 5*u(b). Find the third derivative of l(h) wrt h.
2088
Let n(r) be the third derivative of -r**7/210 + r**6/24 - 87*r**5/20 + 1573*r**4/12 - 17*r**2 + 49. What is the second derivative of n(g) wrt g?
-12*g**2 + 30*g - 522
Suppose 6 - 51 = -9*w. Suppose w*v + 6 = -f + 3*v, -30 = -5*f + 2*v. Differentiate 35*j**4 - 28*j**f - 3 + 10 with respect to j.
28*j**3
Let d(c) = c**3 + 2*c**2 - c + 2. Let u(a) = -2*a**3 - a**2 + 9*a + 13. Let n(r) = d(r) - u(r). Find the second derivative of n(m) wrt m.
18*m + 6
Let t be 4*1/(-22) + 222/11. Let b(c) = 2*c**2 + 12*c - 10. Let x be b(-7). Differentiate -8*s**x + 0*s**4 + 9 + t - 15*s**4 wrt s.
-92*s**3
Let t(l) be the second derivative of 11/12*l**4 - 5/2*l**2 + 1/20*l**5 - 5*l + 2 - 1/2*l**3. Find the second derivative of t(z) wrt z.
6*z + 22
Suppose -9*f + 120 = -6*f - 5*j, 0 = -f + 4*j + 40. Find the first derivative of -f*b + 77*b - 67 + 5*b**2 - 41*b + 2*b**2 wrt b.
14*b - 4
Suppose 4*k - 120 = -5*f, 5*k = -5*f + 110 + 35. Suppose 15*v - k = 10*v. What is the third derivative of 3*g**6 - 20*g**2 - 5*g**6 + v*g**2 wrt g?
-240*g**3
Find the third derivative of 9 - 871*c**4 - 1257*c**5 - 9 + 4039*c**2 + 1260*c**5 wrt c.
180*c**2 - 20904*c
Differentiate 5273 + 2627 - 2*x**2 + 89 - 989*x**3 - 700 + x**4 with respect to x.
4*x**3 - 2967*x**2 - 4*x
Suppose -2*j + 157 = 3*p - 64, 0 = j + 4*p - 123. Find the second derivative of 192*z + 103*z**2 - j*z**2 - 61*z + 41*z + 194*z**2 wrt z.
388
Let k = 89 - 41. Let p = k + -46. Find the third derivative of 23*l**p + 15*l**4 + 10*l**4 + 6*l**2 - 4*l**2 wrt l.
600*l
What is the third derivative of -30*q**2 - 563*q**3 - 778*q**3 - 448*q**3 - 808*q**3 - 54*q + 641*q**3 wrt q?
-11736
Let i(s) = 4*s**3 + 4*s**2 - 219*s + 1034. Let k(u) = 14*u**3 + 15*u**2 - 874*u + 4137. Let b(p) = -15*i(p) + 4*k(p). What is the derivative of b(y) wrt y?
-12*y**2 - 211
Find the third derivative of 5 - 905*b**2 - 5 - 95266*b**5 - 289*b**4 + 95267*b**5 wrt b.
60*b**2 - 6936*b
Suppose 13*z = 14*z - 30. Find the third derivative of -h**5 - z*h**6 + 68*h**2 + 40*h**6 - 25*h**6 wrt h.
-1800*h**3 - 60*h**2
Suppose -5*s - 225*d = -220*d + 5, d = 2*s - 7. Let q(b) be the first derivative of 0*b**s + 38 - 14/3*b**3 + 26*b. Differentiate q(y) wrt y.
-28*y
What is the derivative of -3*b**3 - 8488 + 3*b**3 + 673*b**4 + 2500*b**4 - 4071 wrt b?
12692*b**3
What is the second derivative of -294*p + 1693*p**4 - 1577*p - 2938*p**4 wrt p?
-14940*p**2
Let w(r) be the second derivative of -13*r**5 - r**3 - 13*r**2 + 2*r + 7. What is the second derivative of w(a) wrt a?
-1560*a
Let z(b) = -25304*b - 52158. Let c(i) = -5059*i - 10432. Let d(f) = -24*c(f) + 5*z(f). What is the first derivative of d(q) wrt q?
-5104
Let o be -1*(1972/(-8) - 1/2). What is the first derivative of -o - 68*g**2 + 368 - 259 wrt g?
-136*g
Let s(w) be the second derivative of -1464*w**6/5 + 3*w**4/4 + 22*w**3/3 - w**2/2 + 1681*w + 2. What is the third derivative of s(i) wrt i?
-210816*i
Let q(g) = g**3 + g**2 - g + 1. Let c(p) = -281*p**4 - 4*p**3 - 4*p**2 + 4*p + 368. Let y(a) = 2*c(a) + 8*q(a). What is the first derivative of y(d) wrt d?
-2248*d**3
Let p be (93/(-12))/((-174)/(-88) - 2). What is the second derivative of -9460*b**4 + 331*b**5 + 9460*b**4 + p*b wrt b?
6620*b**3
Let i(t) = 375*t**2 - 5*t + 7. Let z(n) = -187*n**2 + 4*n - 3. Suppose 58 = -5*a + 93. Let w(p) = a*z(p) + 3*i(p). What is the second derivative of w(v) wrt v?
-368
Let g(o) = -3*o**2 - 40*o + 8. Let u be g(-12). What is the second derivative of -1 + 64381*h**4 + u*h - 64381*h**4 - 15*h**5 - 3*h**3 wrt h?
-300*h**3 - 18*h
Let q = 128 + -123. Find the second derivative of -474*u**5 + 5*u + u + 469*u**q wrt u.
-100*u**3
Let v(g) = 6*g**3 + 735*g**2 + 21*g + 37. Let m(p) = -5*p**3 - 736*p**2 - 23*p - 37. Let k(t) = 3*m(t) + 2*v(t). Find the second derivative of k(h) wrt h.
-18*h - 1476
Let l(s) be the first derivative of 74*s**7/7 