(c) wrt c.
-36*c + 78
Find the third derivative of -283*t**2 + 18*t**3 + 13*t - 5 + 286*t**2 + 5 wrt t.
108
Suppose 15 = -d - 3*k, -4*d + 6 + 14 = -4*k. Suppose 4*p - 21 = y - d, 5*y = -5. What is the third derivative of 3*q**p - 5*q**5 - 9*q**2 - 2*q**5 wrt q?
-240*q**2
Let d be (-1 - 2)*1 - (-13 - -8). What is the third derivative of 44 - 13*z**6 - 39*z**d - 44 wrt z?
-1560*z**3
Let w = 46 + -42. Suppose l + 0*l + m = 8, -2*m = -8. Find the second derivative of -3*v - 16*v**w + 11*v**4 + 8*v**l wrt v.
36*v**2
Let n(r) be the second derivative of 8/5*r**6 + 0*r**2 - 38*r + 1/3*r**3 + 0 + 0*r**4 + 0*r**5. What is the second derivative of n(j) wrt j?
576*j**2
Let c(n) = 4*n**3 + 4*n**2 - 48. Let m(z) = z**2 - 1. Let u(d) = c(d) + m(d). Differentiate u(w) wrt w.
12*w**2 + 10*w
Let g(x) = -x**3 + 6*x**2 - 4*x - 5. Let v be g(4). Let p be (-1 + -4)*((-2 - -2) + -1). Find the second derivative of 3 - p*c + 0 + v*c**2 - 3 wrt c.
22
Suppose 4*q = 4 + 4. Suppose y = -2, b - 14 = -0*b + 5*y. Find the third derivative of 2*n**2 + n**2 + b*n**2 + q*n**4 - 2*n**2 wrt n.
48*n
Let j(z) be the second derivative of 3*z**6/10 + z**4/12 - 2*z**3/3 + 9*z**2 - 188*z. What is the second derivative of j(p) wrt p?
108*p**2 + 2
Let j(f) be the second derivative of 49*f**4/4 + 27*f**3 + 66*f - 1. What is the second derivative of j(w) wrt w?
294
Suppose 3*q = 4*t + 27, -5*t + 6 + 4 = 5*q. Let a be (-3 - 0)/((-24)/16). What is the second derivative of -q*n + 4*n**2 - 2*n + a*n**2 + 0*n**2 wrt n?
12
Let i(t) = -t + 14. Let b be i(-6). Find the first derivative of 8 + 0*m**2 - b + 2*m**2 wrt m.
4*m
Let p(q) be the second derivative of 0*q**5 + 0*q**2 + 0*q**7 - 2/7*q**8 + 17/12*q**4 + 0*q**6 + 0 + 0*q**3 + 22*q. What is the third derivative of p(v) wrt v?
-1920*v**3
Let t(p) be the first derivative of 193*p**5/5 + 151*p**2/2 - 177. Find the second derivative of t(i) wrt i.
2316*i**2
Find the second derivative of -5*a**3 - 796 + 41*a + 11*a**4 + 796 wrt a.
132*a**2 - 30*a
What is the first derivative of -151*r**4 - 91*r**4 + 35*r**4 + 3698 - 4071 wrt r?
-828*r**3
Let j(p) = 9*p - 69. Let s be j(8). Let n(z) be the first derivative of 0*z**2 + s - 4/3*z**3 + 0*z + 5/4*z**4. Find the third derivative of n(f) wrt f.
30
Suppose 2*r = 2*q + 44, 3*r = -5*q + 58 + 40. Differentiate -r*l - 6 + 20*l - 10*l + 2 with respect to l.
-16
Find the third derivative of 255*b**5 + 38*b**2 - 185*b**5 + 78*b**2 wrt b.
4200*b**2
Find the third derivative of -65*y**2 - y**5 + 2*y**4 + 318*y**6 - 342*y**6 + y**5 wrt y.
-2880*y**3 + 48*y
Let j(x) = 2*x + 2. Let n be j(2). Let s = 10 - n. Find the third derivative of -162 + 162 - 4*z**s + 4*z**2 wrt z.
-96*z
Let n(l) be the second derivative of -147*l**5/20 - l**3/6 - 19*l**2/2 + 4*l + 10. Find the second derivative of n(m) wrt m.
-882*m
Suppose -15 = 3*l - 4*l. Differentiate -2*p + 7*p + l + 3*p**2 - 5*p wrt p.
6*p
What is the third derivative of 364*v**2 - 34*v**4 - 4*v**4 - 335*v**2 wrt v?
-912*v
Let k(a) = -13*a + 9*a + 4 + 3*a - 3. Let v(r) = r**3 - 2*r + 13. Let c(u) = 2*k(u) - v(u). Differentiate c(f) with respect to f.
-3*f**2
Suppose 0 = 10*g - 57 + 7. Let l(i) be the second derivative of 1/20*i**g + 0*i**3 + 0*i**2 - 2*i + 7/12*i**4 + 0. What is the third derivative of l(b) wrt b?
6
Let y = 8 + -10. Let i be 45/(-6)*y/3. What is the second derivative of 11*m**5 - 5*m - 21*m**5 + 7*m**5 + 4*m**i wrt m?
20*m**3
Let g(d) = -389*d**2 - 375*d. Let y(m) = 3*m**2. Let w(a) = -g(a) - 2*y(a). What is the second derivative of w(x) wrt x?
766
Suppose -z + 27 = 3*r + 2*z, 25 = -5*z. Let f be r/(-28)*(-5 + 1). What is the second derivative of f - 13*j**5 - 9*j + 21*j**5 - 2 wrt j?
160*j**3
Find the second derivative of 469*i**5 + 24*i - 33*i - 3*i**4 - 109*i**5 - 529*i - 255*i**5 wrt i.
2100*i**3 - 36*i**2
Let l(o) = -5*o - 3. Let v be l(-1). Differentiate -70 - 15*r**4 - r**4 + 81 + v*r**4 wrt r.
-56*r**3
Let f(t) = t**2 + t. Let j be f(2). Find the second derivative of -86*d**4 + 67*d**4 - 2*d - j*d wrt d.
-228*d**2
Let q = -65 - -70. Find the second derivative of -k**5 - 4*k**5 + 13*k**q + 31*k + 23*k**5 wrt k.
620*k**3
Let d(t) = -t**2 - 10*t + 23. Let f be d(-10). What is the first derivative of -72*o**3 + f + 148*o**3 - 72*o**3 wrt o?
12*o**2
Let l(b) be the third derivative of -5*b**7/42 + 217*b**5/60 + 3*b**2 + 27*b. Find the third derivative of l(a) wrt a.
-600*a
Let k(s) = 256*s**3 - 2*s**2 - 8*s - 211. Let n(v) = 1279*v**3 - 11*v**2 - 44*v - 1056. Let a(q) = 11*k(q) - 2*n(q). Differentiate a(y) wrt y.
774*y**2
Let n(o) be the first derivative of 0*o + o**2 + 0*o**3 + 0*o**4 - 14 + 7/5*o**5. Find the second derivative of n(l) wrt l.
84*l**2
Let l(r) be the first derivative of -16*r - 1 - 3/2*r**2. Find the first derivative of l(n) wrt n.
-3
What is the first derivative of 77 - 30*q**2 - 29*q**2 - 69*q**2 + 44*q**2 wrt q?
-168*q
Suppose -30*r + 25*r + 15 = 0. Find the third derivative of -60*d**2 - 8*d**6 + 35*d**r + 36*d**3 - 71*d**3 wrt d.
-960*d**3
Let d be 4 + (-84)/20 + 1/5. Let w(a) be the first derivative of d*a + 0*a**2 + 6 + 2/3*a**3 + 0*a**4 - 6/5*a**5. Find the third derivative of w(b) wrt b.
-144*b
Let w(k) be the third derivative of -17*k**7/35 - 13*k**4/6 - 9*k**2 + 3. What is the second derivative of w(x) wrt x?
-1224*x**2
Differentiate -19 - 536 + 145 - 2*q**3 + 52*q - 220 wrt q.
-6*q**2 + 52
Let p(i) = 5*i + 1. Let k(b) = -15*b + 355 - 360 - 10*b. Let d(n) = -2*k(n) - 11*p(n). What is the derivative of d(c) wrt c?
-5
Let f(b) be the third derivative of 0*b - 31/24*b**4 + 1/15*b**5 + 0 + 24*b**2 + 0*b**3. What is the second derivative of f(m) wrt m?
8
Let i = -6 + 15. Let x be (i/12*4)/1. What is the second derivative of 4*v + x*v - 13*v - 3*v**4 wrt v?
-36*v**2
Suppose 6*a - 2*a - b = 25, -3*a + 4*b = -22. Suppose 7*m - 7 = a*m. Find the third derivative of -9*s**6 - m*s**2 - s**2 + 11*s**2 wrt s.
-1080*s**3
What is the third derivative of 12*s**3 + 22*s**3 + 32*s**2 + 43*s**2 - 30*s**3 wrt s?
24
Suppose p = -9*p + 50. Let x(m) be the second derivative of 0*m**4 - 1/6*m**3 + 1/10*m**6 + 0 + 0*m**2 + 0*m**5 + p*m. Find the second derivative of x(i) wrt i.
36*i**2
What is the third derivative of m**4 + 71*m**2 - 29*m**2 + 56*m**2 + 14*m**5 wrt m?
840*m**2 + 24*m
Let k(s) be the third derivative of 761*s**8/336 + 403*s**5/30 - 569*s**2 - 2. Find the third derivative of k(o) wrt o.
45660*o**2
Let r(i) = -2*i + 14. Let x be r(7). Suppose -4*f + 12 - 32 = 0, 3*b + f - 7 = x. Differentiate -5*v**b + 11*v**4 - 1 + v**4 with respect to v.
28*v**3
Let s(x) be the first derivative of -2*x**6/3 + 14*x**3 + 82. Find the third derivative of s(m) wrt m.
-240*m**2
Let g = 20 - 14. Let w(c) = c**2 - 7*c + 13. Let b be w(5). Differentiate 11*n**3 - g*n**b - 5 + 0 + 1 wrt n.
15*n**2
Suppose -2*w + 27 + 7 = 0. What is the second derivative of 11*i - w*i**3 + 5*i**4 + 17*i**3 wrt i?
60*i**2
Let l(w) be the first derivative of 2*w**7/35 - 23*w**3/6 - 15*w**2/2 + 13. Let i(r) be the second derivative of l(r). Find the first derivative of i(y) wrt y.
48*y**3
Let c(t) be the third derivative of -4*t**6/3 + 86*t**3/3 + 30*t**2. Find the first derivative of c(r) wrt r.
-480*r**2
Let s(a) be the third derivative of 5/3*a**3 + 0 - 7/60*a**6 + 0*a**5 + 0*a + 5*a**2 + 0*a**4. What is the derivative of s(j) wrt j?
-42*j**2
Suppose -3*l = l - 16. Suppose -l*z = -0*z. Find the third derivative of -5*n**2 - 2*n**4 + z*n**2 + 32 - 32 wrt n.
-48*n
Let t(x) = 10*x**3 + 3*x**2 + 3*x. Let k(h) = 9*h**3 + 4*h**2 + 2*h. Let s = -7 + 5. Let n(i) = s*t(i) + 3*k(i). What is the third derivative of n(q) wrt q?
42
Suppose 0 = 11*p + 700 - 777. Let j(n) be the first derivative of -p*n - 1 + 0*n**2 + 0*n**3 - 6/5*n**5 + 0*n**4. Differentiate j(m) wrt m.
-24*m**3
Suppose 0 = 3*c - 7 - 5. What is the third derivative of 21*h**4 - 34*h**c - 3*h**2 - 12*h**2 wrt h?
-312*h
Let t(f) = -4*f**2 - 63*f - 113. Let p(r) = 2*r**2 + 31*r + 57. Let x(b) = 9*p(b) + 4*t(b). What is the derivative of x(k) wrt k?
4*k + 27
Let n(b) be the second derivative of -4/3*b**4 + 0*b**3 + 22*b + 0*b**2 + 0*b**5 - 5/14*b**7 + 0 + 0*b**6. Find the third derivative of n(q) wrt q.
-900*q**2
Suppose -4*n + 3*n - 165 = -5*j, -n - 101 = -3*j. Find the third derivative of -j*h**2 + 69*h**2 - 26*h**2 + 2