*z - 38. Let f be (6/z)/(3/42). What is the second derivative of -13*p - 5*p**3 + 2*p**3 + f*p**3 wrt p?
6*p
Let a(b) be the third derivative of -b**6/40 + 4*b**4 - 134*b**3/3 - 223*b**2 + 1. Find the first derivative of a(j) wrt j.
-9*j**2 + 96
Let u = 365 - 362. Let p(s) be the third derivative of 0*s - 14*s**2 + 0 - 1/6*s**4 + 0*s**5 - 13/120*s**6 + 0*s**u. Find the second derivative of p(l) wrt l.
-78*l
Suppose 43*y = 48*y - 1160. Find the first derivative of -225 + 477 - y + 18*t**4 wrt t.
72*t**3
Find the third derivative of 2*l - 4*l + 22*l**3 + 2*l - 2*l - 178*l**3 - 83*l**2 wrt l.
-936
Let s(g) be the first derivative of 18*g**2 + 311*g - 220. Differentiate s(j) with respect to j.
36
Let n(j) = 2*j**2 - 2*j - 16. Let l be n(5). What is the third derivative of 0*y**4 + l*y**2 - 10*y**2 + 9*y**4 wrt y?
216*y
Let z(r) be the third derivative of -32*r**2 + 0*r + 1/20*r**5 + 0*r**4 + 0 + 1/30*r**6 + 28/3*r**3. What is the derivative of z(w) wrt w?
12*w**2 + 6*w
Find the third derivative of 112*a**2 - 10*a**4 - 64*a**4 + 386*a**2 + 18*a**2 wrt a.
-1776*a
Let c(u) = -u + 12. Let k be c(6). Find the third derivative of 11*q**3 - 4*q**2 + 6*q - k*q - 9*q**2 wrt q.
66
What is the third derivative of 3*n**2 - 4*n**2 - 19*n**6 + 28 - n**4 + n**4 wrt n?
-2280*n**3
Let y(h) be the second derivative of h**6/18 + h**5/30 + 13*h**3/6 + 20*h. Let t(l) be the second derivative of y(l). Find the second derivative of t(w) wrt w.
40
Let w(i) be the second derivative of -17*i**7/14 + i**3/3 - 171*i**2/2 - 28*i - 5. Find the second derivative of w(y) wrt y.
-1020*y**3
Let h be (-7*51)/((-3)/2). Suppose -4*p = -3*r - 481, 4*p - 6*p + 2*r = -h. Find the second derivative of -7*w + 124 + 0*w**2 - p + 10*w**2 wrt w.
20
Suppose 0 = -z + 3*z - 4. What is the third derivative of 4*c**6 + 16*c**4 - 16*c**4 + 9*c**z wrt c?
480*c**3
Suppose 0 = 3*w - w - 8. What is the derivative of 1 - 15*z**4 - 2*z**w + 24 wrt z?
-68*z**3
Let y = -11 + 18. Suppose -3 + 13 = 5*l. Find the third derivative of 6*c**6 + 5*c**l + y*c**6 - 11*c**6 wrt c.
240*c**3
Let t(k) be the second derivative of 29*k**5/4 - 9*k**3 - 148*k. Find the second derivative of t(x) wrt x.
870*x
Differentiate 164*q - 3257 - q**3 + 6689 - 2587 wrt q.
-3*q**2 + 164
Let v(i) = -9*i**2 + 4*i + 9. Let h = 48 - 57. Let x(f) = -18*f**2 + 9*f + 17. Let a(l) = h*v(l) + 4*x(l). Differentiate a(w) with respect to w.
18*w
Let i(a) be the third derivative of 39*a**8/56 + 145*a**4/24 + 340*a**2. What is the second derivative of i(x) wrt x?
4680*x**3
Find the third derivative of 525*l**6 - 514*l**6 + 14 + 2*l**2 - l**5 - 14 wrt l.
1320*l**3 - 60*l**2
What is the derivative of 3 + 83*k + 15 + 61*k wrt k?
144
Suppose -m - 35 = 4*m. Let a = m - -9. Find the first derivative of 1 + 1 - 5 + a*d wrt d.
2
Let i(f) be the first derivative of -13*f**8/112 - f**5/12 + 29*f**2/2 + 22. Let p(l) be the second derivative of i(l). Find the third derivative of p(c) wrt c.
-2340*c**2
Let k(c) = 33*c - 34. Let d(g) = -67*g + 65. Let q(p) = 3*d(p) + 5*k(p). What is the first derivative of q(t) wrt t?
-36
Let w(j) = j + 8. Let x be w(-6). Find the third derivative of -34*s**x + 2*s**2 - 33*s**4 - s**2 wrt s.
-792*s
Let w(j) = j**4 - j**2 - j. Let s = 35 - 32. Let t(q) = 17*q**4 - 3*q**2 - 18*q. Let c(u) = s*w(u) - t(u). Find the second derivative of c(o) wrt o.
-168*o**2
Let d(j) = j**5 - j**4 - j**2 - 1. Let l(g) = 60*g**6 - 5*g**5 + 5*g**4 + 6*g**2 + 11. Let y(k) = -5*d(k) - l(k). What is the third derivative of y(x) wrt x?
-7200*x**3
Let z be (-75)/40*(-4)/3. Let n(q) be the second derivative of -5*q + 0 + z*q**2 + 2/3*q**3. Find the first derivative of n(j) wrt j.
4
Let q be (3/(-18)*4)/((-8)/48). Let x(v) be the third derivative of 1/12*v**4 + 2/3*v**3 + 0*v + q*v**2 + 0. Differentiate x(a) with respect to a.
2
Suppose -50 = -2*y - 14. Find the second derivative of 36*q**2 + 19*q**3 - 18*q**2 - y*q**2 - 13*q wrt q.
114*q
Let n(b) = -170*b**4 - 2*b**2 + 83*b. Let q(g) = 338*g**4 + 5*g**2 - 167*g. Let h(u) = -7*n(u) - 3*q(u). What is the third derivative of h(p) wrt p?
4224*p
Let l(m) be the first derivative of -m**4/2 + 28*m**2 - 523*m + 393. Differentiate l(h) wrt h.
-6*h**2 + 56
What is the third derivative of 11*u**4 + 19*u**5 + 7*u**2 - 5 - 18*u**5 - 11*u**3 - 11*u**4 wrt u?
60*u**2 - 66
Let j(w) = 2*w**2 + 2*w - 1. Let d be j(-2). Let p(o) = 4*o**2 - 3*o - 4. Let k be p(d). Find the second derivative of -3*q**4 - 10*q - 9*q**4 + k*q wrt q.
-144*q**2
Let k(o) be the second derivative of 4*o**6/15 - 13*o**3/3 - 3*o**2/2 + 4*o - 1. Find the second derivative of k(m) wrt m.
96*m**2
What is the second derivative of -46*c**3 - 73*c + 6 - 3 - 38*c**3 - 1 - 57*c**3 wrt c?
-846*c
Let v(a) be the first derivative of 39*a**6 + 97*a**3/3 - a**2/2 - 162. Find the third derivative of v(j) wrt j.
14040*j**2
Let n(x) be the first derivative of -16 + 0*x**3 + 0*x + 0*x**4 + 6/5*x**5 - 9*x**2. Find the second derivative of n(f) wrt f.
72*f**2
Let o(m) be the first derivative of 17*m**6/120 - 3*m**3/2 - 11*m**2/2 - 14. Let h(g) be the second derivative of o(g). Differentiate h(c) with respect to c.
51*c**2
Suppose 21 = 5*m + 6. What is the third derivative of 3*b**m + 7*b**3 - 10*b**3 - 21*b**5 + 16*b**2 wrt b?
-1260*b**2
What is the third derivative of 123*x**3 + 365*x**2 - x + 110*x**3 + 138*x**3 wrt x?
2226
Suppose -5 = -y + 4*f, -4*y + 4*f + 11 = -5*y. Let n be 15/(-25) + y/(-5). Find the second derivative of n + 3*c**4 + 0*c - 5*c + 0 wrt c.
36*c**2
Let y = 23 - 21. Find the third derivative of 21*x**2 - 21*x**6 - 4*x**6 - 35*x**y wrt x.
-3000*x**3
Let j(z) be the first derivative of -2*z**5/5 - 49*z**3/3 - 113*z**2 - 64. What is the second derivative of j(k) wrt k?
-24*k**2 - 98
Let g(c) be the first derivative of -9*c**6 + c**4/2 + 3*c**2/2 - 73. Find the second derivative of g(x) wrt x.
-1080*x**3 + 12*x
Let w(c) = -4*c - 6. Suppose -8 = h - 14. Let n(j) = j - 2*j + 5 + 5*j. Let v(m) = h*n(m) + 7*w(m). Find the first derivative of v(x) wrt x.
-4
Let d(c) = -107*c**3 + 87*c**2 + 14*c - 14. Let v(k) = 71*k**3 - 58*k**2 - 10*k + 10. Let q(m) = -5*d(m) - 7*v(m). What is the third derivative of q(l) wrt l?
228
Suppose 4*y = -y - 2*c + 41, c = 3*y - 29. What is the third derivative of -8*r**6 + y*r**6 + 91*r**2 - 86*r**2 + 9*r**6 wrt r?
1200*r**3
What is the third derivative of 1037*t**4 - 83 + 0*t**2 - 1203*t**4 + t**2 wrt t?
-3984*t
Let x(v) be the first derivative of -5*v**7/21 + v**4/6 + 2*v - 2. Let q(s) be the first derivative of x(s). What is the third derivative of q(j) wrt j?
-600*j**2
Differentiate 209*c**4 + 88*c**4 + 229 - 154 + 201 wrt c.
1188*c**3
Suppose 2 = -4*f + 5*f. Suppose -4*r + f*k = -8, 2*r - r + 5*k - 2 = 0. Differentiate 5 + 3*y**r + y**2 - 4 + 2*y**2 wrt y.
12*y
What is the third derivative of 29*c**6 + 7*c**2 + 119*c**6 - 2*c**5 - 10*c**2 + 47 + 0*c**2 wrt c?
17760*c**3 - 120*c**2
Let c be -7 - 9/(-6)*2. Let j(u) = u**2 + 4*u + 3. Let s be j(c). What is the first derivative of 5*b**s - 4*b**3 - 5 + 4 wrt b?
3*b**2
Let b(d) be the second derivative of 107*d**8/56 - 89*d**4/12 - 6*d + 2. What is the third derivative of b(u) wrt u?
12840*u**3
Suppose 8*t + 0*t - 136 = 0. What is the first derivative of t + 7*a**3 - 7 - 4*a**3 wrt a?
9*a**2
Let z(m) be the third derivative of -5/6*m**4 + 20/3*m**3 + 59*m**2 + 0 + 0*m. Find the first derivative of z(n) wrt n.
-20
What is the third derivative of 422 - h**2 - 16*h**6 - 21*h**2 - 421 wrt h?
-1920*h**3
Let y be (-27)/18*(-8)/6. Let m = 4 - 2. Find the third derivative of w**4 + 3*w**y + w**2 - w**m wrt w.
24*w
Let f(v) be the first derivative of 0*v**2 + 0*v**3 + 1/4*v**4 - 7*v + 7. Differentiate f(h) with respect to h.
3*h**2
Let f(x) = 295*x**3 + 760*x**2 + 6*x. Let m(b) = 2*b. Let l(o) = -f(o) + 3*m(o). What is the third derivative of l(g) wrt g?
-1770
Let h be (-6)/(-3)*(-75)/(-10). Suppose 4*k + h = -k. Let w(g) = -11*g**2 + 9. Let j(f) = 22*f**2 - 17. Let n(v) = k*j(v) - 7*w(v). Differentiate n(u) wrt u.
22*u
Find the third derivative of -57*c + 12 + 57*c + 15*c**6 - 5*c**2 - 8*c**6 - 9*c**6 - 21*c**4 wrt c.
-240*c**3 - 504*c
Let b(n) be the second derivative of 7*n**6/30 + 5*n**4/12 - 733*n**3/6 + 841*n. What is the second derivative of b(f) wrt f?
84*f**2 + 10
Let n = -20