h**6 + h**2 - s*h**6 wrt h.
-2520*h**3
Let w(s) = -740*s + 87. Let t(o) = -1482*o + 175. Let v(m) = 2*t(m) - 5*w(m). Differentiate v(j) with respect to j.
736
Let j(u) = u**3 - u + 1. Let y be 6/(-15) - 3/5. Let h(w) = 8*w**3 + 3*w + 1. Let r(z) = y*h(z) - 3*j(z). Find the first derivative of r(k) wrt k.
-33*k**2
Let r(w) be the first derivative of -w**4/4 + 10*w**3 - w - 234. What is the third derivative of r(k) wrt k?
-6
Let o(r) be the first derivative of 2*r**5/5 - 25*r**4/24 - 6*r**2 - 1. Let c(y) be the second derivative of o(y). What is the second derivative of c(x) wrt x?
48
Let d(b) be the first derivative of 4*b**5/5 + 5*b**4 - b**2/2 + 192*b - 81. Find the second derivative of d(g) wrt g.
48*g**2 + 120*g
Let c(o) = -o**2 + 6*o + 7. Let v be c(6). Let t = -4 + v. What is the second derivative of -r + 2*r**3 + r**3 - t*r**3 - 2*r**5 wrt r?
-40*r**3
Find the first derivative of -3 - 2 - 17 - 859*m**2 + 179*m**2 wrt m.
-1360*m
What is the second derivative of 539*j + 977*j**3 + 594*j**4 + 972*j**3 - 1949*j**3 wrt j?
7128*j**2
Let g(v) be the third derivative of -127*v**8/336 - 7*v**4/6 - v**2 - 9. What is the second derivative of g(p) wrt p?
-2540*p**3
Let b(n) be the second derivative of 123*n**5/20 - n**4/4 - 3*n**3/2 + 287*n. What is the third derivative of b(g) wrt g?
738
Let a = 29 + -13. Let n be (a/(-4) - -8) + -2. Find the second derivative of 11*l + n*l - 10*l**4 - 4*l wrt l.
-120*l**2
Let y(x) = 3*x + 1 + 26*x**3 + 2*x**2 - 9*x**3 - 5*x + 43*x**3. Let z be y(1). Find the third derivative of 61*l + 2*l**2 + 9*l**4 - z*l wrt l.
216*l
Let i(z) be the first derivative of 0*z**4 - 7/3*z**3 + 0*z + 0*z**6 + 1/2*z**2 + 57/7*z**7 + 0*z**5 + 25. Find the third derivative of i(p) wrt p.
6840*p**3
Suppose h = -2*u - 4, 3*h = -u + 2*u - 26. Let o = h - -11. What is the third derivative of -5*z**2 + 3*z**2 + z**2 + o*z**6 wrt z?
360*z**3
Let d(m) = -921*m + 300. Let o(c) = 921*c - 300. Let p(l) = 4*d(l) + 3*o(l). Find the first derivative of p(g) wrt g.
-921
Let l(b) = b**2 - 1. Let t = 27 + -26. Let o(j) = -2*j - 6*j**2 + 6 + j - 9*j**3 + 0. Let r(m) = t*o(m) + 6*l(m). What is the second derivative of r(n) wrt n?
-54*n
Let z(h) be the third derivative of 0*h**4 + 42*h**2 + 0*h**6 + 0 + 1/35*h**7 + 0*h**3 - 23/60*h**5 + 0*h. What is the third derivative of z(o) wrt o?
144*o
Suppose 0 = n - 6*n + 5*z + 5, 22 = -2*n - 4*z. Let f(h) = -26*h + 43. Let w(s) = 25*s - 42. Let y(t) = n*f(t) - 2*w(t). What is the derivative of y(k) wrt k?
28
Let o = 20 + -18. Let j = -8 + 11. What is the third derivative of n**4 + 9*n**j - 9*n**3 - n**o wrt n?
24*n
Let f(x) be the third derivative of x**7/105 - 53*x**5/6 + 103*x**3/6 - 158*x**2 + x. Find the first derivative of f(o) wrt o.
8*o**3 - 1060*o
Suppose -2*l + w - 3 = -3*l, 5*l + 4*w - 12 = 0. Suppose -10 + l = -5*a. What is the second derivative of 7*o**2 + o**2 + 0*o**2 - o**a + 2*o wrt o?
14
Let a(i) = i**2 - 1. Let s(g) = 4*g**3 - 9*g**2 + 67*g + 5. Let h(m) = -5*a(m) - s(m). Find the second derivative of h(b) wrt b.
-24*b + 8
Let i(h) be the third derivative of -h**9/504 - h**6/20 + h**5/3 - h**4/6 - 68*h**2. Find the third derivative of i(p) wrt p.
-120*p**3 - 36
Let x(h) be the first derivative of 28*h**6/3 - 140*h**3/3 - 218. Find the third derivative of x(y) wrt y.
3360*y**2
Let g(k) = -2*k**2 - 4 + 3*k - k**2 + 2. Let n(q) = -q**2 + 1. Let o = -18 - -19. Let u(i) = o*g(i) + 2*n(i). What is the second derivative of u(z) wrt z?
-10
Let m(f) = -f**2 + 7*f + 16. Let g be m(8). What is the first derivative of 6*r**3 + 16 + g - 28*r**3 wrt r?
-66*r**2
Let d(j) = j**4 - j**3 - j**2 + j + 2. Let g(k) = 383*k**4 - 6*k**3 - 124*k**2 + 6*k + 12. Let s(i) = 6*d(i) - g(i). Find the third derivative of s(a) wrt a.
-9048*a
Let h = 59 + -55. Differentiate -h - 6*c + 2 - 8 wrt c.
-6
Suppose 2*c - 30 = -2. Suppose -13*u = -c*u + 2. Find the second derivative of 6*w - 13*w - 6*w + 10*w**u wrt w.
20
Suppose -7*v + 10*v = 12. What is the second derivative of 0*a + 3*a - 5*a**2 - v*a wrt a?
-10
What is the third derivative of -139*t**3 + 729*t**2 - 727*t**2 + 38*t**3 wrt t?
-606
Suppose 0 = 3*o - 20 - 7. Let f(t) = 40*t + 1246. Let r be f(-31). What is the third derivative of -o*v**6 + 11*v**2 - v**r + 2*v**6 wrt v?
-960*v**3
Let c(v) be the second derivative of -23*v**5/5 + 7*v**2 - 10*v + 9. Differentiate c(r) with respect to r.
-276*r**2
Find the first derivative of -5 - 28 - 41*x - 65 - 124*x wrt x.
-165
What is the second derivative of 18*m - 12*m**3 + 41*m - 3*m**3 - 233*m**2 + 237*m**2 wrt m?
-90*m + 8
Suppose -2*n = -0 - 2, 3*u - 31 = 2*n. Find the first derivative of u*k**2 - 2 - 1 + 1 - 23*k**2 wrt k.
-24*k
Let u(m) = 17*m**3 + 8*m**2 - 39*m + 335. Let x(j) = -15*j**3 - 6*j**2 + 39*j - 334. Let w(h) = -3*u(h) - 4*x(h). Find the first derivative of w(k) wrt k.
27*k**2 - 39
Let a(c) = -4417*c**2 - 6538*c - 35. Let u(w) = 368*w**2 + 545*w + 3. Let n(o) = 3*a(o) + 35*u(o). What is the second derivative of n(i) wrt i?
-742
Let u(b) = 3*b**2 + 3*b - 3. Let v be u(-2). What is the derivative of 44 - 53 + 5*i**3 + 2*i**3 + 2*i**v wrt i?
27*i**2
Let v(u) be the second derivative of -u**5/10 + 11*u**4/3 - 727*u**3/6 - 299*u. What is the second derivative of v(a) wrt a?
-12*a + 88
What is the derivative of -73*v**3 + 35*v**3 - 8*v**4 + 38*v**3 + 13*v - 425 wrt v?
-32*v**3 + 13
Let m(g) be the second derivative of 1/3*g**3 + 0*g**2 - 24*g - 23/12*g**4 + 0. What is the second derivative of m(k) wrt k?
-46
Find the second derivative of -7*z - 45*z + 4*z**5 - 10*z wrt z.
80*z**3
Let z(a) be the first derivative of 191*a**5/5 + 41*a**3/3 + 3*a**2/2 - 122. Find the third derivative of z(s) wrt s.
4584*s
What is the third derivative of -831*s**3 + 799*s**3 - 35*s**2 + 103*s**2 wrt s?
-192
Let v(o) = -2*o - 2. Let j(z) = 43*z + 3. Let m(r) = -j(r) + 4*v(r). Find the first derivative of m(k) wrt k.
-51
Let w(y) be the third derivative of -31*y**6/60 - y**5/30 - y**4/6 - 91*y**2. Find the third derivative of w(c) wrt c.
-372
Let c(r) be the second derivative of 237*r**8/56 + r**4/4 + 5*r**3/6 + 8*r + 7. What is the third derivative of c(q) wrt q?
28440*q**3
What is the third derivative of 58*c**5 + 2*c**4 - 10704*c + 144*c**5 + 5347*c - 186*c**2 + 5357*c wrt c?
12120*c**2 + 48*c
Let f(y) be the second derivative of y**6/10 - 43*y**3/6 - 79*y**2 - 639*y. What is the first derivative of f(x) wrt x?
12*x**3 - 43
Let w(s) = 393*s**3 + 8*s**2 - 8*s - 148. Let g(r) = 131*r**3 + 3*r**2 - 3*r - 49. Let h(o) = 8*g(o) - 3*w(o). What is the first derivative of h(n) wrt n?
-393*n**2
What is the derivative of -33 + 47 - 112*v**3 + 89 + 38 wrt v?
-336*v**2
Suppose 2*n + 8 = 4*n. Suppose -65 = -5*m + n*f + 7, 24 = m - 4*f. Find the second derivative of -m*k + 17*k + 0*k**3 - k**4 + 0*k**3 wrt k.
-12*k**2
Find the first derivative of -277*c**2 - c**3 + 2*c**3 + c**3 - 250 + 246*c**2 wrt c.
6*c**2 - 62*c
Let w(c) = -c. Let o be w(-4). Suppose 5 - o = -2*m - 5*r, 2 = 2*m + 2*r. Find the second derivative of -8*f + 7*f + 2*f + m*f**4 wrt f.
24*f**2
Suppose -2*i = 2*i + 12. Let c be -2 - -1 - (i - 0). What is the third derivative of 2*x**6 - 6*x**c + 12*x**2 + 0*x**6 - 3*x**6 wrt x?
-120*x**3
Suppose -o = 1, 4*m + 62 = 8*m - 2*o. Suppose 3*d - m = -6. Find the third derivative of c**d + 5*c**2 - 3*c**3 - 12*c**2 wrt c.
-12
Let s(a) = 23*a**4 + 81*a - 3. Let i(v) = 45*v**4 + 161*v - 7. Let w(p) = 3*i(p) - 7*s(p). What is the second derivative of w(f) wrt f?
-312*f**2
Suppose -2*d + f + 725 - 156 = 0, 2*d + 5*f = 563. Suppose -d = 4*i - 1008. What is the third derivative of 181*q**5 - i*q**5 + 7*q**2 - 4*q**6 wrt q?
-480*q**3
Find the third derivative of 13*r**5 - 9*r**2 + 5*r - 38*r**5 - 8*r**2 + 13*r**5 wrt r.
-720*r**2
Let r(n) = 24 - n - n**2 - 1 + n. Let q(b) = 1. Let l(p) = -2*q(p) + r(p). What is the first derivative of l(f) wrt f?
-2*f
Let w(p) be the third derivative of -27*p**4/8 + 11*p**3 + 2*p**2. Let l(j) = 23*j - 19. Let y(q) = -18*l(q) - 5*w(q). Find the first derivative of y(r) wrt r.
-9
Suppose -3*u + 8 = k, 0*u + 2*u - k - 12 = 0. Find the second derivative of 6*a**u - 5*a + 3*a**4 + 8*a wrt a.
108*a**2
Suppose 7 = 2*q + 5*a - 9, -3*q - 4*a = -17. Let w = 5 + 0. Differentiate 5 - 4 + w*g**q - 4 - g**3 wrt g.
12*g**2
Let a(q) =