.
-120*x**2
Let g(s) be the third derivative of s**6/120 - 19*s**5/30 - 7*s**4/12 - 53*s**2 - 1. Find the second derivative of g(w) wrt w.
6*w - 76
Let m be (36/(-24))/3*0. Let l(t) be the third derivative of 0 - 7*t**2 + m*t**3 + 0*t + 1/4*t**4 + 1/60*t**5. What is the second derivative of l(h) wrt h?
2
Find the third derivative of -17*t**3 + 44*t + 8*t**3 + 7*t**3 + t**2 - 73*t**4 + 2*t**3 wrt t.
-1752*t
Let d(x) be the second derivative of -19*x**3/3 + 20*x**2 + x - 32. What is the first derivative of d(l) wrt l?
-38
What is the first derivative of 60 - 128 - 9*x - 484*x + 343 wrt x?
-493
Let d(w) = -w**3 - w**2 + w + 5. Let y(b) = 2*b**3 + 162*b**2 - 4*b + 29. Let n(i) = 4*d(i) + y(i). Differentiate n(q) with respect to q.
-6*q**2 + 316*q
Suppose 5*n = 3*i + 23, 9 = -i + 4*n - 2*n. Let d be 12/(-16)*4*i. Differentiate -d*q**4 - 7*q**4 - 3 + 3*q**4 wrt q.
-28*q**3
Differentiate 2675 - 1293 - 1220 - 1013 + 192*j + 3*j**3 wrt j.
9*j**2 + 192
Let f(i) be the third derivative of -41*i**9/63 + i**6/120 + i**5/60 - 245*i**4/24 - 473*i**2. What is the third derivative of f(x) wrt x?
-39360*x**3 + 6
Suppose 10*y + 35 = 235. Find the third derivative of -106*l**4 + 5*l**2 + 106*l**4 - y*l**5 wrt l.
-1200*l**2
Let b(g) be the third derivative of -g**4/8 - 13*g**3/3 + 7*g**2. Let k be b(-11). Find the first derivative of 1 + 4 + 2*t**2 - k*t**2 + 2 wrt t.
-10*t
Let r(p) be the second derivative of p**9/1008 + 7*p**5/60 + 3*p**4/4 + 28*p. Let t(w) be the third derivative of r(w). Differentiate t(f) wrt f.
60*f**3
Let i(d) be the first derivative of 0*d + 7/5*d**5 + 0*d**4 + 2*d**2 + 0*d**3 - 13. What is the second derivative of i(k) wrt k?
84*k**2
Let g(v) = 4*v - 40. Let h be g(13). Differentiate -8*d + 6*d - 2*d + 8*d + h wrt d.
4
Let f(t) = 8*t**2 + t. Let z be f(1). Suppose z - 40 = -b - 5*q, 3*b - 3*q - 3 = 0. What is the first derivative of 2*j**2 - 2*j**2 - b*j**2 + 10 wrt j?
-12*j
Let j(h) = h + 26. Let r be j(0). Let k = r - 19. Differentiate -3 + k*i**4 - 4 - i**4 + 2*i**4 wrt i.
32*i**3
Suppose 4*u - 5*b - 42 = -0*u, -2*b = -u + 9. Let z = -29 + 31. Find the third derivative of -u*c**4 + 4*c**4 - 6*c**2 + z*c**2 wrt c.
-216*c
Let t(l) be the second derivative of 0*l**2 + 0 + 0*l**3 + 23/12*l**4 + 19*l + 21/20*l**5. Find the third derivative of t(s) wrt s.
126
Let t be (13/52)/((-2)/(-16)). Find the third derivative of 6*l**5 + 12*l**2 - 18*l**2 + 10*l**t wrt l.
360*l**2
Let x(p) be the second derivative of -1/5*p**5 + 0*p**2 - p + 0 + 0*p**3 + 5/3*p**4. Find the third derivative of x(w) wrt w.
-24
Let d(q) be the second derivative of -q**8/8 - q**5/20 + 10*q**2 + 2*q + 11. Let w(v) be the first derivative of d(v). Find the third derivative of w(c) wrt c.
-2520*c**2
Let c(p) be the first derivative of 115*p**4/4 + 120*p - 23. What is the derivative of c(f) wrt f?
345*f**2
Let w(c) be the third derivative of 53*c**6/60 + 7*c**5/20 - c**3/2 + 264*c**2. What is the third derivative of w(k) wrt k?
636
Let q(i) = i + 5. Let w be q(-3). What is the second derivative of 12 - 7*z**4 + w*z - 12 wrt z?
-84*z**2
Let f(t) be the second derivative of -37/6*t**3 - 16*t + 0*t**2 + 0*t**4 + 0 - 7/10*t**5. What is the second derivative of f(m) wrt m?
-84*m
Let h(a) = -6*a**3 - 43*a**2 + 4*a + 182. Let w(q) = q**3 + q**2 - q. Let t(z) = -h(z) - 4*w(z). Differentiate t(p) wrt p.
6*p**2 + 78*p
Let r(s) = 9*s + 12. Let d(x) be the first derivative of -9*x**2 - 23*x - 20. Let w(g) = 4*d(g) + 9*r(g). What is the first derivative of w(i) wrt i?
9
Let z = -17 + 37. What is the second derivative of -z*g - 34*g + 34*g + 7*g**5 wrt g?
140*g**3
Let n be 11/2 - 6 - 13/(-2). Find the first derivative of 0 + 1 + n - 22*b - 4 wrt b.
-22
Let i(f) be the second derivative of -88*f**6/15 + 62*f**2 - 173*f. Differentiate i(t) wrt t.
-704*t**3
Differentiate 1 - 1 - 8*l**3 - 262*l**3 - 41 wrt l.
-810*l**2
Suppose -f + 0*f + 13 = 5*h, f = 2*h + 6. Differentiate -7*o**3 - f + 18*o**3 + 4 wrt o.
33*o**2
Let l(q) = q**4 + 69*q**2 + 419. Let c(z) = 5*z**2 - 1. Let d(w) = 6*c(w) + l(w). Differentiate d(y) wrt y.
4*y**3 + 198*y
Find the third derivative of 4*o**2 + 12*o**2 - 71 - 85 + 37*o**6 - 26*o**2 + 9*o**2 wrt o.
4440*o**3
Let u(v) = v**3 - v**2 + 2*v. Let i(j) = 102*j**4 - 6*j**3 + 6*j**2 + 57*j - 2. Let h(k) = -i(k) - 6*u(k). What is the second derivative of h(x) wrt x?
-1224*x**2
Let y = 114 + -60. What is the third derivative of 2*c - c**6 - 426*c**3 + y*c**2 - 2*c + 430*c**3 wrt c?
-120*c**3 + 24
Let f = -19 - -21. Suppose 0 = -2*r - 2, 3*l + f*r + 1 = 2*l. Find the third derivative of l + 6*s**2 + 4 - 5 + 2*s**6 wrt s.
240*s**3
Differentiate 17 + 61 - 182 - 48*x wrt x.
-48
Let b(d) be the second derivative of -49*d**6/6 - d**4/6 - 29*d**3/6 - 29*d + 4. What is the third derivative of b(i) wrt i?
-5880*i
Let v(x) = x. Let w be 6/9 + (-3)/(-9). Let g(p) = 4*p**2 + 14*p. Let r(a) = w*g(a) - 12*v(a). What is the second derivative of r(s) wrt s?
8
Let b(z) be the second derivative of -z**9/504 + z**5/8 + z**3/2 + 8*z. Let a(u) be the second derivative of b(u). Find the second derivative of a(s) wrt s.
-120*s**3
Suppose 0 = -8*j + 57 + 151. Differentiate -80 + 22*f**4 + 28 + j wrt f.
88*f**3
Let r(v) = -6*v**3 + 2*v**2 - 4*v - 72. Let n(f) = 5*f**3 - 3*f**2 + 3*f + 71. Let k(y) = -4*n(y) - 3*r(y). Find the first derivative of k(s) wrt s.
-6*s**2 + 12*s
Find the third derivative of -16*f**4 - 4 + 31*f**5 + 30*f**4 - 4*f**2 - 13*f**4 wrt f.
1860*f**2 + 24*f
Let w(s) be the first derivative of -3*s**5/5 + 6*s**3 + s**2/2 - 59*s + 190. Find the second derivative of w(b) wrt b.
-36*b**2 + 36
Let w(o) be the first derivative of 3*o**5 + o**4/4 + 15*o**2/2 - 22. What is the second derivative of w(v) wrt v?
180*v**2 + 6*v
Let k(g) be the third derivative of 0*g**6 - 37/24*g**4 + 0*g**3 + 0*g + 2/105*g**7 + 0 + 15*g**2 + 0*g**5. What is the second derivative of k(t) wrt t?
48*t**2
Let y be 0/5 + (5 - -2). Suppose y = 6*g - 41. What is the derivative of -4*f + g*f - 2 + 1 wrt f?
4
Let d(o) be the third derivative of 25*o**5/4 + 135*o**3/2 + 610*o**2. Differentiate d(x) wrt x.
750*x
Let m(o) = -o - 2. Let t be m(-7). What is the third derivative of -14*v**4 - 12*v**5 - 11*v**2 + 3*v**t + 14*v**4 wrt v?
-540*v**2
Let h(l) be the first derivative of -10/3*l**3 - 34 + 0*l - 33/2*l**2. What is the second derivative of h(m) wrt m?
-20
Let o(y) be the first derivative of 2 + 0*y**4 + 1/7*y**7 + 1/3*y**3 + 0*y**2 + 0*y**5 + 0*y**6 + 0*y. What is the third derivative of o(k) wrt k?
120*k**3
Let j(s) = -214*s**3 - 2*s**2 - 6*s - 173. Let n(u) = 215*u**3 + 3*u**2 + 8*u + 176. Let q(r) = -3*j(r) - 2*n(r). Find the second derivative of q(l) wrt l.
1272*l
Let z(s) be the first derivative of -39*s**4/4 + s**3/3 - 45*s - 66. What is the derivative of z(u) wrt u?
-117*u**2 + 2*u
Let z(x) = -529*x**3 - 15*x**2 - 5*x - 765. Let g(w) = w**3 - 3*w**2 - w + 3. Let s(c) = -5*g(c) + z(c). Differentiate s(m) wrt m.
-1602*m**2
Let y be (-10)/4*8/(-10). Suppose -12 = -5*b - y. What is the third derivative of -m**5 - 29*m**b - m**5 + 35*m**2 wrt m?
-120*m**2
Suppose 2*f = 4*y - 20, 0*y + y = -4*f + 5. Suppose 98 = y*o + 2*q + q, 5*o - q - 94 = 0. Differentiate 3 - 19*u**3 + o*u**3 - 8*u**4 wrt u.
-32*u**3
What is the third derivative of -1932*u**4 + 4*u**2 + 2*u + 10*u**2 + 1865*u**4 wrt u?
-1608*u
Suppose 5*m - 110 = -4*r, 0 = -4*m - m + 3*r + 110. Differentiate m + 16*g - g + 9*g wrt g.
24
Let b(k) = -29*k + 140. Let x(i) = -9*i + 47. Let c(l) = -3*b(l) + 8*x(l). What is the derivative of c(g) wrt g?
15
Let o(u) = 213*u**2 + 1911*u - 14. Let i(l) = 143*l**2 + 1274*l - 10. Let p(c) = 7*i(c) - 5*o(c). Find the second derivative of p(a) wrt a.
-128
Let r = 5 + -10. Let v(h) = -h - 3. Let k be v(r). What is the first derivative of k*n**2 + 3*n**2 - 5*n**2 + 6 + 8*n**3 wrt n?
24*n**2
Find the second derivative of 0*l - 7*l**2 + 0*l + 5*l**4 + 2*l - 53 - 4*l**2 - l wrt l.
60*l**2 - 22
Let o(u) = -u**2 + 10*u - 13. Let f be o(9). Let r = 12 - f. Find the first derivative of 7 + r*a**3 + 19*a**3 - 40*a**3 wrt a.
-15*a**2
What is the first derivative of -21 - 72*d - 13*d - 235*d - 64*d wrt d?
-384
Let l(y) = 2*y**2 + y + 1. Let z(k) = 140*k**3 + 10*k**2 + 5*k + 6. Let w(c) = 5*l(c) - z(c). What is the first derivative of 