 1/3*c**3. Differentiate v(r) wrt r.
44*r**3 + 2*r
Let z(a) = -5*a**4 - 2*a**3 - 48*a**2 - 262*a - 2. Let s(l) = l**4 + l**3 - l**2 - l + 1. Let g(q) = 2*s(q) + z(q). Find the second derivative of g(r) wrt r.
-36*r**2 - 100
Let h(d) = -3*d**4 - 2*d**3 + 40*d**2 + 6. Let g(k) = k**2 - 1. Let a(l) = 6*g(l) + h(l). What is the third derivative of a(p) wrt p?
-72*p - 12
Let p(k) = 4*k**3 - k**2 + k - 1. Let u(l) = 251*l**3 + 219*l**2 - 3*l + 3. Let n(f) = 3*p(f) + u(f). What is the third derivative of n(t) wrt t?
1578
Let k(w) = 507*w**3 + 5*w**2 - 6*w. Let z(l) = 127*l**3 + l**2 - l. Let v(u) = 2*k(u) - 9*z(u). What is the second derivative of v(y) wrt y?
-774*y + 2
Suppose 6*i - 42 = -30. Let w(n) be the second derivative of 0*n**4 + 0*n**3 + 5/2*n**i - 1/10*n**5 + 0 - 4*n. What is the first derivative of w(c) wrt c?
-6*c**2
Differentiate -115*g**3 + 4059*g + 0 + 269 - 4059*g wrt g.
-345*g**2
Let r(i) be the third derivative of -69*i**7/70 + i**4/12 - 32*i**3/3 + 3*i**2 - 1. What is the second derivative of r(c) wrt c?
-2484*c**2
Let y(b) = -b**5 - b**3 - b**2 - 2. Let a(v) = 69*v**5 + 3*v**3 + v**2 - 31*v + 2. Let k(l) = a(l) + y(l). What is the second derivative of k(d) wrt d?
1360*d**3 + 12*d
Suppose -4*j = -5*i - 1, -4*i + 7*i = 2*j + 1. Suppose j*a - 12 = a. Find the third derivative of a*t**2 + 22*t**3 - 22*t**3 + 5*t**4 wrt t.
120*t
Suppose -8*w = -0*w - 40. What is the second derivative of -25*b**w - 6*b - b - 5*b**5 - 2*b wrt b?
-600*b**3
Let s(z) be the first derivative of 16/3*z**3 + 0*z - 26 + 0*z**2 + 6*z**4. Find the third derivative of s(w) wrt w.
144
Let t be -16*(2/3)/(4/(-3)). What is the third derivative of t*l**2 + 208*l**3 - 198*l**3 + 2*l**2 wrt l?
60
What is the third derivative of -61*m + 30*m + 367*m**3 - 3 - 32*m**3 - 60*m**2 + 31*m wrt m?
2010
Suppose -5*r + 3*h = -10, 5*r - 5*h = -0*r + 10. What is the third derivative of -14*t**3 + 810 + 3*t**r - 810 wrt t?
-84
Let b(z) be the third derivative of 157*z**6/20 - 863*z**3/6 - 553*z**2. Find the first derivative of b(n) wrt n.
2826*n**2
Let z = 11 - 11. Suppose 2*n = -z*n + 6. Find the third derivative of -65*u**n - 3*u**2 + 64*u**3 - 2*u**2 wrt u.
-6
What is the third derivative of -4*r**3 + 2*r**2 - 812*r**6 - 9*r**3 + 811*r**6 + 4 wrt r?
-120*r**3 - 78
Let s = 53 + -31. What is the third derivative of 12*t**2 + s*t**6 + 0*t**2 - t**2 wrt t?
2640*t**3
Let m(l) be the first derivative of 5*l**7/21 + 53*l**4/12 + 26*l - 32. Let p(q) be the first derivative of m(q). Find the third derivative of p(a) wrt a.
600*a**2
Let l = -11 - -14. Suppose 5*m + 7 + l = 0. Let q(h) = 6*h + 4. Let y(a) = -7*a - 5. Let o(g) = m*y(g) - 3*q(g). What is the first derivative of o(d) wrt d?
-4
Let l = -27 - -30. Find the second derivative of 5*a**3 - 13*a**3 + 0*a**l - 11*a**3 - 12*a wrt a.
-114*a
Let d(o) be the second derivative of -73*o**8/56 + 7*o**4/4 + 18*o. Find the third derivative of d(w) wrt w.
-8760*w**3
Let a(h) = 2*h**2 - h - 2. Let f be a(-2). Suppose 6*p - 8*p = -f. Differentiate -p*z**3 + 2 - 3 + z**2 - z**2 with respect to z.
-12*z**2
Let b(f) be the third derivative of -f**7/105 + 5*f**6/12 - 287*f**4/24 + 320*f**2. Find the second derivative of b(z) wrt z.
-24*z**2 + 300*z
What is the first derivative of -689 + 529*b**4 - 166*b + 166*b - 51*b**4 wrt b?
1912*b**3
Find the second derivative of -17*a**4 + 31*a**4 + 126*a + 11 + 51*a**4 - 12 wrt a.
780*a**2
Suppose 32 = -5*o + 42. What is the third derivative of 15*q**3 + 0*q**o + 17*q**2 - 5*q**2 wrt q?
90
Suppose 5*a - 21 = -d, -a + d + 0*d = -9. Suppose a = 4*i - 19. Find the first derivative of -v**3 + 14 - i + 2*v**3 - 8*v**3 wrt v.
-21*v**2
Find the third derivative of -52*f**3 - 5*f**3 + 119*f**3 + 9 + 32*f**2 - 24*f**2 + 136*f**3 wrt f.
1188
Let b = 120 - 120. Let u(g) be the second derivative of 3/2*g**2 + b*g**3 + 1/20*g**5 + 0*g**4 + 0 + g. What is the derivative of u(p) wrt p?
3*p**2
Let u(r) = 594*r**3 - 5*r**2 + 171*r. Let j(f) = 298*f**3 - 3*f**2 + 85*f. Let s(z) = 5*j(z) - 3*u(z). What is the second derivative of s(g) wrt g?
-1752*g
Let l(x) = 3*x**2 + 0 + x**2 - 4*x - 1 - 3*x**2. Let g be l(5). What is the second derivative of -16*q + 7*q - g*q**4 + q + 5*q wrt q?
-48*q**2
Let r be (9/(-3))/(-3)*2. Suppose -5*i + r*v = -7 - 1, -5*i = -4*v - 6. What is the first derivative of -2*l - l - i*l - 1 wrt l?
-5
Let w = -4 - -2. Let r be 2*(-1)/w*2. Find the second derivative of -3*q**3 + 9*q + r*q**3 - 3*q**3 + q**3 wrt q.
-18*q
Find the second derivative of 18*z + 27*z**2 - 58*z + 9*z - 1 + 14*z wrt z.
54
Suppose -3*u - y = -13, -5*y = -4*u - 2*y. What is the second derivative of -u*l - 3*l + 4*l - 2*l**2 + 10*l**2 wrt l?
16
Let d(v) = -3 + 5*v - 4 + 2. Let n be d(2). What is the second derivative of -2*s + 8*s + 14*s**5 - 8*s**n - s**5 wrt s?
100*s**3
Let m(a) be the second derivative of a**7/168 + 17*a**4/24 - 7*a**3/3 + 9*a. Let i(g) be the second derivative of m(g). Differentiate i(z) with respect to z.
15*z**2
Let u(s) = -591*s**4 - 9*s**2 - 616. Let n(m) = -590*m**4 - 12*m**2 - 615. Let l(k) = 3*n(k) - 4*u(k). Find the first derivative of l(x) wrt x.
2376*x**3
Let i(n) be the third derivative of 0 - 5/12*n**4 + 0*n + 0*n**5 + 7*n**2 + 5/24*n**6 + 0*n**3. Find the second derivative of i(h) wrt h.
150*h
Let m(z) = 36*z. Let v(p) = -1. Let k = 55 + -59. Let q(g) = k*v(g) - m(g). What is the derivative of q(n) wrt n?
-36
Let b(p) be the second derivative of 0 + 9/2*p**2 + 3*p**3 + 24*p. What is the first derivative of b(y) wrt y?
18
Differentiate -5*y + 43 + 29*y - 139 - y with respect to y.
23
Find the second derivative of -4 - 3*m + 57*m**2 - 2 - 73*m**2 - 6*m wrt m.
-32
Suppose -4*d + 28 = -0*d - 4*u, 0 = -5*d - 2*u. Let a = d + 2. Differentiate -56 - 3*z**a + z - z + 50 wrt z.
-12*z**3
Let z(j) = -54*j**3 + 8*j**2 - 4*j - 40. Let g(c) = -2*c**3 + 2*c**2 - c - 1. Let d(p) = -4*g(p) + z(p). Find the first derivative of d(b) wrt b.
-138*b**2
Let j = 787/126 - 56/9. Let u(r) be the third derivative of -5*r**2 + 0*r**4 - j*r**7 + 0*r + 7/6*r**3 + 0 + 0*r**6 + 0*r**5. Differentiate u(t) wrt t.
-20*t**3
Let w(i) be the third derivative of -13*i**7/840 + i**5/24 + 2*i**4 - 44*i**2. Let u(h) be the second derivative of w(h). Differentiate u(n) with respect to n.
-78*n
What is the second derivative of 146*m**3 + 18*m + 0 + 217*m - 52*m + 0 wrt m?
876*m
Let a = 45 - 42. Find the third derivative of s**a - 22*s**2 + 5*s**3 + 17*s**4 - 6*s**3 wrt s.
408*s
Suppose 4*h - 4*z = -64, -4*h = 2*z + 4 + 30. Let b = 16 + h. What is the third derivative of k**6 - 2*k**6 + 2*k**2 - k**2 - b*k**2 wrt k?
-120*k**3
Let a be ((-10)/(-3) + -3)*0. What is the third derivative of -11*r**6 + r**6 + a*r**2 + 4*r**2 - r**6 wrt r?
-1320*r**3
Let w(b) = -60*b**2 - 3*b - 4. Let c be w(-2). Let u be 10/(-45) - c/18. Find the first derivative of 54*a**3 - 6*a**4 - 54*a**3 - u wrt a.
-24*a**3
Let d(x) be the second derivative of 15/2*x**2 + 0*x**3 + 0*x**5 - 15*x + 0 + 0*x**4 + 1/30*x**6. Differentiate d(g) with respect to g.
4*g**3
Find the second derivative of 2 - 2 - 380*s**2 + 10810*s - 10804*s wrt s.
-760
Differentiate 28 - 7*c**3 + 51*c**3 - 3 + 9*c**3 wrt c.
159*c**2
Suppose -k - 4*x - 112 = -4*k, -5*x = 5. Find the third derivative of -15*t**2 + 9*t**4 + k*t**2 - 3*t**2 wrt t.
216*t
Find the first derivative of -2*f + 4*f + 2*f - 2*f - 576 - 5*f**3 - 3*f wrt f.
-15*f**2 - 1
Find the third derivative of -173 + 173 + 3*t**4 + 16*t**4 - 64*t**2 wrt t.
456*t
Let w(u) be the third derivative of -u**7/30 - u**5/30 + 37*u**4/12 + u**3/6 - 67*u**2. What is the second derivative of w(z) wrt z?
-84*z**2 - 4
Suppose -2*x + 3*v = -0*v - 13, 5*x - 1 = -3*v. Suppose 0*j - p + 13 = 3*j, -5*p = 25. What is the third derivative of 3*a**x + 5*a**6 + a**j - a**6 wrt a?
600*a**3
Let b(r) be the second derivative of 1/3*r**6 + 0*r**3 + 0*r**2 + 0*r**5 + 0 - 11/12*r**4 - 3*r. Find the third derivative of b(m) wrt m.
240*m
Let w(l) = l**3 + 11*l**2 + 3. Let x be w(-11). What is the second derivative of 3*t**5 - x*t**4 + 4*t**5 + 3*t**4 + 30*t wrt t?
140*t**3
Suppose -2*f + 8 = 0, 0 = 5*m - 4*f - 4 + 5. Suppose 2*b + m*x = 9, 0 = -3*x + 3. Find the second derivative of 7*d**5 - 2*d**5 - b*d + 0*d wrt d.
100*d**3
Let a(i) be the second derivative of -i**8/56 - i*