he third derivative of 10*u**2 + u**2 + 8*u**3 + t*u**2 wrt u.
48
Let u(k) = 28*k + 2. Let g be u(2). Find the second derivative of -w - 3*w**4 - 96*w**2 + 45*w**2 - g + 48*w**2 wrt w.
-36*w**2 - 6
Let l(a) = 1818*a**4 - 9*a**2 + 45*a + 14. Let c(z) = 910*z**4 - 5*z**2 + 23*z + 8. Let i(b) = -7*c(b) + 4*l(b). Find the third derivative of i(n) wrt n.
21648*n
Let s be 2 + 256/14 - (-30)/(-105). Suppose -4*n + 40 - s = 0. Find the second derivative of 25*v - n*v**3 - 20*v + 7*v wrt v.
-30*v
Let d(o) be the third derivative of -269/60*o**5 - 204*o**2 - 1/2*o**3 - 2/3*o**4 + 0*o + 0. Find the second derivative of d(l) wrt l.
-538
Let t(p) = -77*p**2 + 147*p - 11. Let a(d) = 0*d - 30*d + 6 + 38*d**2 - 12*d - 31*d. Let y(m) = 11*a(m) + 6*t(m). What is the second derivative of y(i) wrt i?
-88
Let l be 4 - 1/(-2)*(-11916)/(-18). Find the second derivative of 7*t**2 + 256*t - 10*t**2 - t**3 - l*t wrt t.
-6*t - 6
Let j(y) be the first derivative of 1664*y**3/3 - y**2/2 - 1120*y + 2038. Differentiate j(c) wrt c.
3328*c - 1
Let k(w) be the third derivative of 0*w**7 + 47/336*w**8 + 0*w**4 - w**2 + 0*w**6 + 0 + 6*w + 23/30*w**5 + 1/3*w**3. What is the third derivative of k(d) wrt d?
2820*d**2
Find the second derivative of 531*h + 2*h**2 - 2009464 + 2009464 + 723*h**3 wrt h.
4338*h + 4
Let k(w) = w**2 - w + 12. Let q(u) = -1581*u**2 - u + 15. Let s(n) = 2*k(n) - q(n). Find the second derivative of s(m) wrt m.
3166
Suppose -5*a = -5*v - 16 - 49, -5*a - 3*v = -41. Suppose 3*y - 5*g - a = 2*y, -3*y = -3*g - 66. What is the second derivative of -824 + 824 + o**3 + y*o wrt o?
6*o
Let o(p) be the first derivative of -30 + 28*p**2 + 9*p - 67 - 8*p + 24*p**4. What is the second derivative of o(r) wrt r?
576*r
Let x be ((-1)/14 - (-36)/(-84))*-8. Let c = -63 + 63. What is the derivative of -71*w**4 + 65*w**x + 0*w + c*w + 11 wrt w?
-24*w**3
Let w(b) = 2*b**4 - b**2 - 2*b. Let j(n) = 762*n**4 + 2*n**2 + 4*n + 1661. Let o(q) = j(q) + 2*w(q). Find the first derivative of o(m) wrt m.
3064*m**3
Let v(b) = b**3 - 17*b**2 - 2*b + 37. Let x be v(17). What is the third derivative of -5*m - x*m**2 - 39*m**4 + 180*m**6 + 4*m**4 - 178*m**6 wrt m?
240*m**3 - 840*m
What is the third derivative of 4*l + 29*l**2 - 9*l + 1538*l**3 - 26*l**2 wrt l?
9228
Find the third derivative of -l**2 + 26 - 24*l**3 + 10*l**3 - 3*l**4 - 17*l**3 + 73*l**3 - 4*l**3 wrt l.
-72*l + 228
Let i(m) be the second derivative of -11/60*m**5 + 6*m**2 + 0*m**4 + 6*m + 4/3*m**3 + 0. Let a(g) be the first derivative of i(g). Differentiate a(f) wrt f.
-22*f
Let j = 155 + -151. What is the first derivative of 87 + 606*c**j - 315*c**4 - 305*c**4 + 3*c**2 wrt c?
-56*c**3 + 6*c
Let i(v) = 1164*v**3 - 2186*v**2. Let a(r) = -3*r**3 - r**2. Let y(b) = 5*a(b) + i(b). Find the third derivative of y(w) wrt w.
6894
Let x(s) be the third derivative of 58/3*s**3 + 8*s + 0 + 32/15*s**5 + 0*s**4 - 4*s**2. Find the first derivative of x(b) wrt b.
256*b
Let g(r) be the second derivative of -923*r**4/3 - r**3/6 - 3426*r**2 + 6429*r. Differentiate g(t) wrt t.
-7384*t - 1
Let l = 2 - 5. Let k(d) = -4*d**2 - 3*d - 7. Let i(a) = 482 - 3*a - 474 + 5*a**2 - 2*a + 7*a. Let m(n) = l*i(n) - 2*k(n). Differentiate m(w) with respect to w.
-14*w
Suppose -11*k + 585 = 156. What is the first derivative of -38 - k + 32*n**3 - 10 wrt n?
96*n**2
Let x(b) be the first derivative of -29*b**4 - 26*b**3/3 - b**2 + 3683*b + 5642. What is the first derivative of x(l) wrt l?
-348*l**2 - 52*l - 2
Suppose 18 = 4*a + 3*l - 12, -l + 8 = a. Let c(p) = -2*p + 1. Let j(h) = -14*h + 43. Let s(r) = a*c(r) - j(r). What is the first derivative of s(z) wrt z?
2
What is the third derivative of 768*r**6 + 7*r**2 + 56*r**6 + 6*r**2 + 157*r + 559*r - 12*r**2 wrt r?
98880*r**3
Let k(q) be the first derivative of 0*q**2 - 11 + 0*q - 49/3*q**3 + 0*q**4 + q**5. Find the third derivative of k(x) wrt x.
120*x
Let t(s) be the third derivative of -s**2 + 0*s - 1/6*s**3 + 1/60*s**5 - 4 + 0*s**4 + 13/60*s**6. What is the third derivative of t(o) wrt o?
156
Let u(h) be the first derivative of 34 + 0*h + 0*h**2 + 2/3*h**3 - 65/4*h**4. What is the third derivative of u(y) wrt y?
-390
Let g(l) be the second derivative of -133*l**4/12 - l**3/3 + 1001*l**2/2 - 1578*l. Find the second derivative of g(w) wrt w.
-266
Let m = 64 - 49. Suppose 3*l - 3*k + 4 = 13, m = 5*l - 2*k. What is the second derivative of -66 - i - 3*i**l + 66 wrt i?
-18*i
Let r(b) = -11*b - 2. Let f(i) = -1953*i**2 - 55*i - 1101. Let s(q) = -2*f(q) + 10*r(q). Differentiate s(l) wrt l.
7812*l
Let a(r) = 19*r**3 + 28*r**2 - 2. Let c = 190 + -196. Let t(j) = -j**3 - j**2 + 1. Let v(u) = c*t(u) - 3*a(u). What is the third derivative of v(k) wrt k?
-306
Let g(u) be the third derivative of 0*u**4 + 0*u**5 + 0 + 44*u**2 + 173/6*u**3 - 2*u + 0*u**6 - 143/210*u**7. Differentiate g(p) wrt p.
-572*p**3
Let y(b) = -306*b**3 - 1361*b**2 - 6*b - 3. Let m(q) = -306*q**3 - 1363*q**2 - 4*q - 2. Let c(x) = -3*m(x) + 2*y(x). Find the third derivative of c(p) wrt p.
1836
Let f(h) = 395*h**2 + 12*h + 2146. Let m(x) = -x**2 - 4*x - 9. Let w(c) = f(c) + 3*m(c). Differentiate w(s) wrt s.
784*s
Suppose -15*v - 6 = -36. Find the third derivative of 948 + v*t**4 - 2*t**3 - 10*t - 2*t**2 - 948 wrt t.
48*t - 12
Let v = -953 - -1362. What is the third derivative of 2*g**5 - 41*g**2 - 169*g**2 + 43*g**3 - 171*g**3 - v + 409 wrt g?
120*g**2 - 768
Let k = -240 + 248. Find the second derivative of -5*v**2 - 2*v**3 + k*v**3 - 654*v + 0*v**3 + 647*v wrt v.
36*v - 10
Let c(d) be the second derivative of 1/2*d**2 - 14*d + 0*d**5 + 1/42*d**7 - 5/3*d**3 + 0*d**4 - 1 - 2/15*d**6. What is the second derivative of c(n) wrt n?
20*n**3 - 48*n**2
Let x = 84 - 82. Find the second derivative of 3*z**3 + 12446*z**2 - 12536*z**x + z**4 + 4*z - 9 - 3*z**3 wrt z.
12*z**2 - 180
Suppose 0 = -17624*w + 17605*w. Let b(p) be the third derivative of -5/12*p**4 + w*p + 0 - 27*p**2 + 14/3*p**3. Differentiate b(o) with respect to o.
-10
Let p(f) be the first derivative of 93/4*f**4 + 0*f**3 + 13*f**2 - 21 + 0*f. What is the second derivative of p(a) wrt a?
558*a
Suppose 10*u - 8 = 6*u. Suppose -u*i = -2*k - 4, -k = i - 4*k. Find the second derivative of 9*l**3 + 11*l - l - 9*l**3 + 12*l**i wrt l.
72*l
Let l(m) be the second derivative of 0 + 0*m**6 - 31/12*m**4 - 3/14*m**7 - 1/6*m**3 + 0*m**2 - 33*m + 0*m**5. What is the third derivative of l(h) wrt h?
-540*h**2
Let q = -78 + 75. Let t be (3/2)/(2180/(-728) - q). Find the third derivative of 273*w**3 + 36*w**2 - t*w**3 - 24*w**4 wrt w.
-576*w
Let h be 466 - 2/(3 + 21/(-9)). What is the third derivative of -11*g**5 + 227*g**4 - h*g**4 + 233*g**4 - 2 + 2 + 159*g**2 wrt g?
-660*g**2 - 72*g
Suppose -4*z - 5*l = -189, z - 9*l = -4*l + 66. Let u = 5 - 3. What is the second derivative of -u*d + 18*d**3 + 27*d**3 - z*d**3 wrt d?
-36*d
Let j(r) be the second derivative of -2779*r**6/10 + 2865*r**2/2 + 1798*r. Find the first derivative of j(q) wrt q.
-33348*q**3
Find the first derivative of -20*k**3 - 233*k**2 + 472*k**2 - 239*k**2 - 2562 + 9*k wrt k.
-60*k**2 + 9
Suppose i - 12 = -h, -i + 63 = 5*h - 5. Suppose h*t = t + 52. Differentiate c**2 - 28*c**4 + 16*c**t + 16*c**4 + 35 + 2*c**2 with respect to c.
16*c**3 + 6*c
Let s(z) be the second derivative of -1/21*z**7 + 0*z**6 + 11/20*z**5 + 0*z**2 + 0*z**3 - 109/12*z**4 + 29 - 5*z. What is the third derivative of s(w) wrt w?
-120*w**2 + 66
Let l(j) be the third derivative of 0*j + 0*j**3 + 0 + 7/120*j**6 + 25/12*j**4 + 11*j**2 + 0*j**5. Find the second derivative of l(i) wrt i.
42*i
Let u(c) = 19*c + 21. Let n be u(-1). Find the second derivative of -99*g**n + 148*g**2 + 12*g + 18*g wrt g.
98
Let n(z) = -12571*z**4 - 57*z**3 + 347*z + 25. Let k(j) = 2095*j**4 + 9*j**3 - 58*j - 5. Let b(h) = -19*k(h) - 3*n(h). Find the second derivative of b(p) wrt p.
-25104*p**2
Let q(d) = 4*d. Let n(x) = -91*x + 76. Let u(c) = -n(c) + 4*q(c). Let t(v) = v. Let y(s) = -3*t(s) + u(s). Find the first derivative of y(r) wrt r.
104
Suppose -6094 = -5*m + 22741. What is the third derivative of -6 + 47*n**5 + 3 - 5766*n**2 + m*n**2 wrt n?
2820*n**2
Let b(l) = 812*l**5 + 6*l**3 + 32*l**2 - 1390*l. Let t(n) = -n**5 + n**3 + 4*n**2 - n. Let j(g) = -b(g) + 8*t(g). What is the second derivative of j(a) wrt a?
-16