Find the third derivative of -12*y**3 - 3*y**5 - 4*y**5 + 3*y**5 + 15*y**3 + 251*y**2 wrt y.
-240*y**2 + 18
Let d(c) be the second derivative of 9*c**6/5 - c**5/20 - 29*c**4 - 272*c - 1. Find the third derivative of d(a) wrt a.
1296*a - 6
Let y(k) = -57*k**4 - 4*k**2 + 83*k. Let l(m) = m**4 + m**2 - m. Let z(i) = -4*l(i) - y(i). Find the second derivative of z(o) wrt o.
636*o**2
Let v(z) be the first derivative of -13*z**4/24 - 4*z**3/3 - 7*z**2 + 2. Let j(c) be the second derivative of v(c). What is the derivative of j(p) wrt p?
-13
Find the second derivative of 90*n - 1236*n**4 + 552*n**4 - n**3 + 443*n**4 - 1 wrt n.
-2892*n**2 - 6*n
Let z = -74 - -69. Let x(n) = 12*n**2 + 26*n + 5. Let v(j) = 35*j**2 + 77*j + 14. Let q(i) = z*v(i) + 14*x(i). What is the second derivative of q(a) wrt a?
-14
Let p(r) be the second derivative of 0 + 1/3*r**4 + 10*r + 0*r**3 - 11/2*r**2. Differentiate p(q) wrt q.
8*q
Let w(s) = 74*s - 25. Let m(v) = -145*v + 51. Let f(u) = -2*m(u) - 5*w(u). What is the derivative of f(k) wrt k?
-80
Suppose 6*j = 3*j. Suppose w + 0*w - 2 = j. Find the second derivative of 21*v - 10*v - 9*v**4 + w*v wrt v.
-108*v**2
Let h(k) be the third derivative of 23*k**8/336 - k**6/40 + 53*k**5/60 - 459*k**2. What is the third derivative of h(z) wrt z?
1380*z**2 - 18
Differentiate 21 - 42*p**2 + 5*p**2 + 161 - 15 + 446*p**2 wrt p.
818*p
Let h(q) be the third derivative of -7*q**7/30 + 7*q**5/10 + 64*q**2. Find the third derivative of h(u) wrt u.
-1176*u
Let o(b) = 5*b - 3. Suppose 2*w - 2 - 2 = 0. Let n(m) = 9*m - 15 + 31*m - 15*m. Let l(v) = w*n(v) - 11*o(v). Find the first derivative of l(i) wrt i.
-5
Let g(t) = 17*t**2 - 5*t + 10. Let f(u) = 4*u - 9*u + 9*u**2 + 5 + 2*u. Let r = -11 + 8. Let h(w) = r*g(w) + 5*f(w). Differentiate h(x) with respect to x.
-12*x
Suppose 3*l = -0*l - 3*i + 51, -5*i = 25. Suppose 0*r + r = 5*z - l, 5 = z. Find the third derivative of -8*k**5 + 2*k**2 - 3*k**2 + r*k**2 + k**5 wrt k.
-420*k**2
Let t(q) be the third derivative of 0*q**6 + 28*q**2 + 1/60*q**5 + 0*q**3 + 0*q + 0*q**4 + 0 + 11/210*q**7. Find the third derivative of t(n) wrt n.
264*n
Let r(a) = a**3 + a. Let i(b) = -225*b**3 + 36*b. Let w(q) = -i(q) + 6*r(q). Find the second derivative of w(l) wrt l.
1386*l
Let t(m) be the third derivative of -47*m**9/168 + m**6/30 + 19*m**5/10 - m**4/12 + 2*m**2 + 285. What is the third derivative of t(d) wrt d?
-16920*d**3 + 24
Let d = -516 + 518. Let i(l) be the first derivative of 1/3*l**3 + 0*l + 8 + 2*l**d. What is the second derivative of i(r) wrt r?
2
Suppose -32*p = -13*p. Let c(k) be the second derivative of p*k**3 + 0 + 1/30*k**6 - 5/12*k**4 + 6*k + 0*k**2 + 0*k**5. Find the third derivative of c(w) wrt w.
24*w
Find the third derivative of 1151*t**6 + 6*t**2 - 1149*t**6 - 2 + 16*t**5 - 105*t**5 wrt t.
240*t**3 - 5340*t**2
Let i(x) be the third derivative of 43*x**8/168 + 2*x**4/3 + x**3/6 + 176*x**2. What is the second derivative of i(t) wrt t?
1720*t**3
Let c(q) = -q + 6. Let j be c(4). Let b = 12 - j. What is the second derivative of 4*d - b*d + 2*d + 2*d**2 wrt d?
4
Let x(q) = -46*q + 7. Let u(i) = i - 1. Let r(z) = 6*u(z) + 2*x(z). Differentiate r(g) wrt g.
-86
Find the second derivative of -651*r**2 + 142*r + 1557*r**2 - 621*r wrt r.
1812
Let o(p) = -p. Let f(z) = -39 - 27*z + 25*z**2 + 39. Let u(h) = -f(h) + 6*o(h). What is the second derivative of u(a) wrt a?
-50
Differentiate -44 + 98*w**2 - 9*w + 10 - 17 - 68 + 10*w with respect to w.
196*w + 1
Let v(w) = -7*w**3 - 8*w**2 + 31*w + 50. Let m(q) = -5*q**3 - 6*q**2 + 32*q + 49. Let p(b) = -4*m(b) + 3*v(b). Find the first derivative of p(n) wrt n.
-3*n**2 - 35
Let u(b) be the first derivative of -5*b**4/4 - b**3/3 - 3*b**2/2 - 3*b + 6. Let f be u(-2). Find the first derivative of -39*i + f*i - i**3 + 5 wrt i.
-3*i**2
Suppose 2*n = -3*n. Suppose 0 = -n*g + 4*g. Find the third derivative of g*v**6 + 2*v**2 + 6*v**6 - 5*v**2 wrt v.
720*v**3
Let r = 1 - -2. Suppose -3*l = 3*s - 15, 5*l = -24*s + 20*s + 23. Find the first derivative of -r + l - 1 - h**3 wrt h.
-3*h**2
What is the third derivative of 14*n**2 + 139*n**3 + 13*n**2 + 23*n**2 - 34*n**2 wrt n?
834
Suppose -d + b + 2 = 0, 3*d + b - 17 - 1 = 0. Let z = -5 + d. Find the second derivative of 6*w + z*w**3 + 0*w**3 - 7*w**3 + 3*w**3 wrt w.
-24*w
Let l(q) be the third derivative of 2*q**2 + 0*q + 0 + 0*q**4 - 2/3*q**3 + 1/12*q**5. What is the derivative of l(s) wrt s?
10*s
Let q(i) = -50*i - 297. Let n be q(-6). Let v(k) be the first derivative of -6/5*k**5 + 4*k + 0*k**n + 0*k**2 + 0*k**4 - 4. Differentiate v(a) wrt a.
-24*a**3
Let v(u) = -2*u + 4. Let f be v(3). Let k(a) = -2*a + 1. Let i be k(f). Find the third derivative of -1 + 1 - l**5 + 0*l**i - 5*l**2 wrt l.
-60*l**2
Differentiate -44 - 15 - 51*a - 16*a - 26*a with respect to a.
-93
Let x(a) = -11*a + 289. Let d be x(26). Let r(s) be the second derivative of s - 5/6*s**4 + 0*s**2 + 1/6*s**d + 0. What is the second derivative of r(n) wrt n?
-20
Let p = 58 - 54. Find the second derivative of -27*x**4 + 27*x**4 + 16*x + 6*x - p*x**5 wrt x.
-80*x**3
Suppose 5*g - 2*i = 18, -3*g - 3*i - 5 + 20 = 0. Find the second derivative of -16*k - 303*k**3 - 11*k**g + 303*k**3 wrt k.
-132*k**2
Let a = 881 + -877. Let z(l) be the first derivative of 0*l + 0*l**2 - 2*l**a - 13/3*l**3 + 6. What is the third derivative of z(x) wrt x?
-48
Let d(n) be the second derivative of n**4/12 - 5*n**2/2 - 5*n. Let p(m) = -2*m**2 + 5. Let v(l) = 3*d(l) + 2*p(l). Find the first derivative of v(g) wrt g.
-2*g
Suppose -14 + 22 = 4*z. Let r(g) be the third derivative of 0*g + 2*g**z + 0 + 0*g**4 + 1/15*g**5 - 1/30*g**6 + 0*g**3. Find the third derivative of r(f) wrt f.
-24
Let a(c) = -3*c**2 - 88*c - 891. Let u(q) = -3*q**2 - 89*q - 891. Let i(l) = 5*a(l) - 4*u(l). Find the first derivative of i(h) wrt h.
-6*h - 84
Let m(b) = b**3 - 14*b**2 + 26*b - 12. Let j be m(12). Find the second derivative of -12*p**4 + j*p - 3*p + 9*p wrt p.
-144*p**2
Let c(h) be the third derivative of h**7/315 - h**5/20 - h**4/24 - h**2. Let n(b) be the second derivative of c(b). Find the first derivative of n(o) wrt o.
16*o
Let t(j) be the second derivative of 13*j**4/4 + 6*j**3 + 3*j**2/2 - 132*j. Find the second derivative of t(z) wrt z.
78
Let r be -1*(2 - 2) - -4. Let l be 3*(r/12 + 1). Find the first derivative of -5*p**4 + 14*p**l - p**2 + p**2 + 8 wrt p.
36*p**3
Let o(f) = -f - 4. Let v be o(-15). Find the third derivative of -3*m**5 - 2*m**2 + m**2 - v*m**5 + 13*m**5 wrt m.
-60*m**2
Let d(i) = 10*i - 7. Let s be d(5). Find the first derivative of -28 + s*v**3 - 22 + 17 + 2 wrt v.
129*v**2
Suppose 21*w - 19*w - 4 = 0. What is the third derivative of 3*r**5 + 3*r**w - 20*r**5 - 7*r**2 - 3*r**5 wrt r?
-1200*r**2
Let v(h) be the third derivative of 0*h**6 + 0*h + 1/4*h**4 + 0*h**7 + 0 + 11/168*h**8 - 16*h**2 + 0*h**3 + 0*h**5. What is the second derivative of v(l) wrt l?
440*l**3
Let y(z) be the third derivative of 0*z**6 + 0*z - 7/24*z**4 + 0*z**5 + 0*z**3 + 13/336*z**8 + 0*z**7 - 7*z**2 + 0. What is the second derivative of y(h) wrt h?
260*h**3
Let n(v) = 45*v**2 - 27*v + 5. Let p(f) = 136*f**2 - 82*f + 14. Let s(j) = -11*n(j) + 4*p(j). Find the second derivative of s(k) wrt k.
98
Let l(x) be the first derivative of x**7/7 - 5*x**4/12 - 8*x - 9. Let u(t) be the first derivative of l(t). What is the third derivative of u(c) wrt c?
360*c**2
Let y(v) = 9*v**3 - 60*v**2 - 7*v - 187. Let j(u) = -4*u**3 + 31*u**2 + 3*u + 93. Let z(h) = 14*j(h) + 6*y(h). Find the first derivative of z(d) wrt d.
-6*d**2 + 148*d
Find the first derivative of -42*p + 16 - 44*p - 9*p + 31*p wrt p.
-64
Let c = -1569 + 1572. Let d(p) be the third derivative of 0*p + 0*p**c - 1/6*p**4 + 0 + 1/12*p**5 + 12*p**2. What is the second derivative of d(l) wrt l?
10
Let r(y) be the second derivative of -71*y**5/10 + 17*y**4/12 + 2*y - 243. Find the third derivative of r(x) wrt x.
-852
Let l(g) be the first derivative of g**8/48 - 7*g**4/12 + 7*g**2/2 + 12. Let d(q) be the second derivative of l(q). What is the second derivative of d(k) wrt k?
140*k**3
Let w(f) be the first derivative of 18/5*f**5 + 4 + 0*f**2 - 12*f + 0*f**4 + 0*f**3. What is the derivative of w(j) wrt j?
72*j**3
Find the third derivative of 48*n**2 + 546*n**4 - 1 - 