 - 5. Find the third derivative of 5*a**p + 17*a**2 - 2*a**2 + 4*a**5 - 6*a**2 wrt a.
540*a**2
Let x(a) = 2*a**3 - 11*a**2 - 6*a. Let d be x(6). What is the second derivative of 0*y - 14*y**3 + d*y + 13*y wrt y?
-84*y
Let t(w) be the second derivative of 159*w**5/20 + 13*w**4/3 - w**2/2 + 342*w. What is the third derivative of t(b) wrt b?
954
Let n(k) = -k**3 - 3*k**2 + k + 1. Let a(m) = 265*m**3 + 18*m**2 - 6*m + 665. Let h(s) = a(s) + 6*n(s). What is the derivative of h(o) wrt o?
777*o**2
Differentiate 99 + 39 - 3 - 199*w with respect to w.
-199
What is the first derivative of -23 + 5*o**4 - o**2 + 61 + 3*o**2 wrt o?
20*o**3 + 4*o
Suppose -113 = -20*n - 33. Let z(t) be the second derivative of 0*t**2 + 0 + 5/12*t**n + 7/6*t**3 + t. Find the second derivative of z(u) wrt u.
10
Find the third derivative of 9 + 7 - 16 + 3*m**3 + 27*m**2 - 4*m**3 wrt m.
-6
Suppose 28 - 163 = -15*y. Find the third derivative of 8*l**2 - y*l**2 - 27*l**6 - 6*l**2 wrt l.
-3240*l**3
Let g(z) be the first derivative of 62*z**3 + 253*z**2/2 + 424. Find the second derivative of g(h) wrt h.
372
Let o(u) = -2*u**3 + 26*u**2 + 3*u + 80. Let t(x) = 3*x**2 - x + 1. Let h(w) = -o(w) - 3*t(w). Find the first derivative of h(j) wrt j.
6*j**2 - 70*j
Let s(c) = -153*c**4 - 2*c**2 - 9*c - 38. Let h(o) = 76*o**4 + o**2 + 4*o + 19. Let m(g) = -9*h(g) - 4*s(g). Find the third derivative of m(f) wrt f.
-1728*f
Let i(y) = y**2 + y - 1. Let a(g) = 2 + 4*g + 0*g + 4*g**2 + 0*g**2 - 10. Let b(s) = -a(s) + 8*i(s). Find the second derivative of b(c) wrt c.
8
Let l(m) be the third derivative of 0*m + 56*m**2 - 1/15*m**6 + 0 - 1/24*m**4 + 0*m**3 - 1/15*m**5. What is the third derivative of l(w) wrt w?
-48
Let r(x) be the first derivative of 5*x**4/2 - x**3 - 31*x + 86. Find the first derivative of r(w) wrt w.
30*w**2 - 6*w
Let h(b) = 18*b - 52. Let z be h(3). Let d(m) be the first derivative of 0*m + 3 - 1/3*m**3 + 2*m**z. What is the second derivative of d(w) wrt w?
-2
Suppose 4*b = -3*r + 19, 4*b = -5*r - 0*r + 21. Suppose -4*w + b = -8. Find the second derivative of 4*h**w + h**3 - 6*h - h**3 wrt h.
24*h
Find the second derivative of 23 - 2*b + 15*b**2 + 5*b - 48 + 19 wrt b.
30
Let w(j) be the third derivative of j**7/105 - 5*j**5/6 + 16*j**3/3 - 2*j**2 + 16. Find the first derivative of w(f) wrt f.
8*f**3 - 100*f
Let i(h) = 78*h**4 + 15*h**3 - 657*h**2. Let u(w) = 31*w**4 + 6*w**3 - 263*w**2. Let s(r) = 5*i(r) - 12*u(r). Find the third derivative of s(a) wrt a.
432*a + 18
Let l(q) be the second derivative of -5*q**7/14 - 7*q**4 + 82*q. Find the third derivative of l(t) wrt t.
-900*t**2
Let p(l) be the second derivative of -79*l**6/30 - l**4/12 + 7*l**2 + 41*l. What is the third derivative of p(i) wrt i?
-1896*i
Let m(c) = 831*c**3 + 474*c**2 + 11*c + 19. Let i(g) = -623*g**3 - 355*g**2 - 8*g - 14. Let w(b) = -11*i(b) - 8*m(b). Find the third derivative of w(f) wrt f.
1230
Let v(j) = 345*j - 114. Let n(m) = -689*m + 223. Let t(x) = 4*n(x) + 7*v(x). Find the first derivative of t(h) wrt h.
-341
Suppose 5*y - 2*x = 52, 4*x + 3 = y + 7. Suppose r - 7*r + y = 0. Find the third derivative of 6*z**2 - 15*z**2 + 9*z**6 - r*z**2 wrt z.
1080*z**3
Find the second derivative of 44*s + 44*s - 182*s - 185*s**2 + 41*s + 20*s wrt s.
-370
What is the third derivative of 206*f**5 - 2*f**3 - 41*f**2 - 401*f**5 + 123*f**2 + 201*f**5 wrt f?
360*f**2 - 12
Let o(z) = 27*z**3 + 5*z**2 + 9*z + 422. Let r(k) = -14*k**3 - 2*k**2 - 4*k - 211. Let g(m) = -4*o(m) - 9*r(m). Differentiate g(h) with respect to h.
54*h**2 - 4*h
Let s(o) = o**3 + o - 1. Let w(y) = 18*y**3 + 6*y + 124. Let g(i) = 6*s(i) - w(i). Find the first derivative of g(m) wrt m.
-36*m**2
What is the third derivative of -73*m**2 + 65*m**6 - 205*m**2 + 22*m**2 + 35*m**6 wrt m?
12000*m**3
Suppose 15*a - 63 = 14*a. Let o = a - 37. Find the second derivative of -16*u**5 - 7*u + o*u**5 + 0*u wrt u.
200*u**3
Suppose -10*r = -14*r + 8. Differentiate 14*z**4 + 14 + z**2 - 9 - z**r with respect to z.
56*z**3
What is the second derivative of -3*s**4 + 21*s + 28*s + 148*s**3 - 139*s**3 wrt s?
-36*s**2 + 54*s
Let h(s) = 1167*s**2 + 27*s - 96. Let v(f) = 291*f**2 + 7*f - 24. Let j(r) = 4*h(r) - 15*v(r). What is the second derivative of j(w) wrt w?
606
What is the third derivative of 651*q**2 + 55*q**3 + 231*q**5 + 57*q**3 - 114*q**3 wrt q?
13860*q**2 - 12
Let o(d) be the first derivative of 5/2*d**2 + 0*d**3 - 14 - 7/2*d**4 + 0*d. Find the second derivative of o(j) wrt j.
-84*j
Let u(x) be the second derivative of -7/2*x**2 + 0*x**7 - 1/4*x**4 + 0*x**6 - 8 + 0*x**5 - 13/14*x**8 + 0*x**3 + 3*x. Find the third derivative of u(a) wrt a.
-6240*a**3
Differentiate -161 + 413 - 2*b + 355 - 208 - 79*b**2 + 327 wrt b.
-158*b - 2
Let w(o) = -83*o**4 - 2*o**3 + 4*o**2 - 6*o. Let x(t) = 330*t**4 + 9*t**3 - 15*t**2 + 23*t. Let i(u) = 9*w(u) + 2*x(u). Find the third derivative of i(m) wrt m.
-2088*m
Let z(x) be the third derivative of -19*x**5/15 - x**4/12 - x**3 + 46*x**2 + 3*x. Find the second derivative of z(s) wrt s.
-152
Let p(j) be the first derivative of -23*j**8/336 - 13*j**5/60 - 4*j**2 + 15. Let a(c) be the second derivative of p(c). Find the third derivative of a(x) wrt x.
-1380*x**2
Let b(v) = -207*v**5 - v**3 + v**2 + 2*v - 9. Let f(j) = -j**5 + j**3 - j**2. Let m(c) = b(c) + f(c). What is the second derivative of m(p) wrt p?
-4160*p**3
Suppose k + 1 = 3*u, -2*u - 4*k + 0*k + 10 = 0. Find the first derivative of -u - 2 + 3 + 7*m**4 + 16 wrt m.
28*m**3
Suppose 6*i - 3*i - 507 = 0. Differentiate 169*t - 10*t**3 - i*t - 11 with respect to t.
-30*t**2
Let o(l) be the third derivative of -7/30*l**5 + 0*l + 1/3*l**3 + 0 - 7*l**2 + 0*l**4. Differentiate o(p) with respect to p.
-28*p
Let d(r) = -28*r**3 - 23*r**2 + 3*r. Let h(a) = 27*a**3 + 22*a**2 - 2*a. Let v(g) = -2*d(g) - 3*h(g). Find the third derivative of v(o) wrt o.
-150
Let x(r) = r**3 + 4*r**2 - 8*r - 6. Let j be x(-5). Find the first derivative of -28*s**4 - 3409*s**2 + j + 3409*s**2 wrt s.
-112*s**3
Suppose 56*p = 15*p. Let f(l) be the third derivative of 0*l**5 + 9*l**2 - 3/2*l**3 + p + 0*l**4 + 0*l - 11/120*l**6. Differentiate f(o) wrt o.
-33*o**2
Let z(r) be the second derivative of -353*r**6/15 - 2*r**4/3 - r**2 - 430*r. What is the third derivative of z(g) wrt g?
-16944*g
Let q(v) be the second derivative of 103*v**5/20 + 7*v**4/12 - 5*v**3/6 - 231*v. Find the third derivative of q(t) wrt t.
618
Find the third derivative of 54*a**2 - 11 - 96*a**4 - 3*a**3 + 11 + 8*a**4 wrt a.
-2112*a - 18
Let h(n) = -n - 3. Let t be h(-3). Suppose -2*l - 2*g + 10 = t, -3*g - 5 = -2. What is the third derivative of -5*v**6 + 3*v**l - 8*v**6 + v**2 + 0*v**6 wrt v?
-1200*v**3
Let g(w) = 1446*w - 1446*w - 4 + 8*w**6 - 2*w**2. Let a(t) = t**6 - t**2 + 1. Let i(r) = -12*a(r) - 3*g(r). What is the third derivative of i(x) wrt x?
-4320*x**3
Let u be (-65)/7 - (-10)/35. Let d be (-2)/u + (-32)/(-18). Find the third derivative of 6*k**2 - 5*k**4 + 4*k**d - 3*k**2 wrt k.
-120*k
Let s(r) be the second derivative of -r**6/40 + 5*r**4/24 + 5*r**3/3 + 5*r. Let p(m) be the second derivative of s(m). Differentiate p(y) wrt y.
-18*y
Let q(l) be the second derivative of 0 + 0*l**2 + 0*l**4 - 9/20*l**5 - 1/3*l**3 - 15*l. What is the second derivative of q(m) wrt m?
-54*m
Let b(t) = 77*t - 15. Let u(q) = -233*q + 46. Let g(h) = 7*b(h) + 2*u(h). What is the first derivative of g(p) wrt p?
73
Suppose 0*c + 2*c - 4 = 0. Let b = 3 + 1. Find the first derivative of -b + h + c*h**4 - h wrt h.
8*h**3
What is the first derivative of 14*i - 27 + 10 + 160*i - 64 + 23 wrt i?
174
Let a be ((-7)/14)/(2/(-20)). Suppose 0*s - a*s = 2*q - 20, 2*s = 3*q + 27. Differentiate -5*o + 0*o - 7 + s*o - 3*o with respect to o.
-2
Let k = -1707 - -8536/5. Let f(a) be the second derivative of 0*a**3 + 0 - 2/3*a**4 + k*a**5 + 8*a + 0*a**2. Find the third derivative of f(l) wrt l.
24
Suppose -48 = -10*f + 2*f. What is the second derivative of -6*o - 13*o**4 + 4*o**2 - f*o**2 + 2*o**2 wrt o?
-156*o**2
Suppose 3*n + 0*y - 17 = y, -5*n + 2*y = -30. Suppose 2*f = x + 1, -x - n*x + 13 = -4*f. Differentiate 6 + 0 - 1 - x*a + 2 wrt a.
-5
Let a(y) be the first derivative of -7*y**5/5 + 55*y**2/2 + 5*y + 94. Find the second derivative of a(o) wrt o.
-84*o**2
What is the first 