**5. Find the second derivative of n(k) wrt k.
-18*k
Let b(w) be the third derivative of 0 + 1/60*w**5 - 4/3*w**3 + 0*w**4 + 0*w + 2*w**2. What is the first derivative of b(s) wrt s?
2*s
Let m = 40 + -15. Find the second derivative of -11*g**4 - 6*g + m*g - 9*g**4 wrt g.
-240*g**2
Let m(w) be the second derivative of 0*w**6 - 1/12*w**4 + 19/3*w**3 + 0*w**2 - 1/14*w**7 - 5 + 0*w**5 - w. What is the second derivative of m(t) wrt t?
-60*t**3 - 2
Let u(x) = -x**3 - 4*x**2 - x + 3. Suppose 3 = 5*k + 3*r + 14, r + 13 = -4*k. Let a be u(k). Find the first derivative of -a*b**2 + 46*b - 7 - 46*b wrt b.
-14*b
Let f(b) be the second derivative of 0 + 0*b**3 - 1/6*b**6 + 12*b + 7/6*b**4 + 0*b**2 + 0*b**5. What is the third derivative of f(w) wrt w?
-120*w
Let n(h) = h**3 + 4*h**2 + 2. Let g be n(-4). Find the first derivative of 6*v - 21*v + 15*v - 12 - 8*v**g wrt v.
-16*v
Let a(u) be the first derivative of 893*u**2/2 + 528*u - 155. Find the first derivative of a(x) wrt x.
893
Find the first derivative of 17*o**3 + 11*o**2 - 9*o**2 - 2*o**2 + 2*o + 219 - 62*o**3 wrt o.
-135*o**2 + 2
Find the third derivative of -3*b - 491*b**4 + b**5 - 6*b**5 + 542*b**4 + 3*b**5 - 4*b**2 wrt b.
-120*b**2 + 1224*b
Let x be 5*8/(-28)*-7. Suppose g - x = 4*u - 30, -32 = -4*u + 4*g. Differentiate 5*b**u - 6 - 4 + 1 + 6 with respect to b.
20*b**3
Let z(h) be the second derivative of 15/2*h**2 + 0*h**3 + 0 - 7/5*h**5 - 22*h + 0*h**4. Find the first derivative of z(n) wrt n.
-84*n**2
Let w(v) = -v**3. Let j(n) = -4*n**3 + 5*n. Suppose 12*k - 24 = 6*k. Let s(r) = k*w(r) + j(r). Find the second derivative of s(z) wrt z.
-48*z
Let y(r) be the second derivative of -3*r**5 + r**4/6 - 155*r**2/2 + 117*r. Differentiate y(f) wrt f.
-180*f**2 + 4*f
What is the second derivative of -422*b - 7483*b**2 + b**4 + 7483*b**2 + 3*b**4 - 2*b**4 - 91*b**5 wrt b?
-1820*b**3 + 24*b**2
Let r be 11/2 - (12/(-8))/3. Let j(u) = 19*u**2 - 6*u - 4. Let k(w) = 38*w**2 - 13*w - 7. Let s(d) = r*k(d) - 13*j(d). What is the derivative of s(y) wrt y?
-38*y
Suppose 4*a - 12 = -0. Let o be (3 - a)/((-4)/(-2)). Differentiate -6*w - 2 + o*w + 5 - 1 wrt w.
-6
Let g be ((-20)/(-25))/((-1)/(-10)). Suppose -5*c + g = -c. What is the third derivative of 30*m**3 - 30*m**3 - 4*m**c - 3*m**4 wrt m?
-72*m
Let f be 1/(14/(-5) - 3*-1). What is the second derivative of -58 - 13*q**f + 59 - 45*q**5 - 10*q wrt q?
-1160*q**3
What is the second derivative of -394*z**3 - 38*z - 8*z - 62*z - 46*z wrt z?
-2364*z
Let v(q) = 3*q + 32. Suppose 17*o - 19*o - 20 = 0. Let t be v(o). Find the third derivative of 10*z**2 - 2*z**t - 6*z**2 - 6*z**4 wrt z.
-144*z
Let m(k) = k**2 + 13*k - 1. Let u be m(-13). Let t be (u*4)/(8/(-6)). Differentiate v**4 - 4 + 4 - t wrt v.
4*v**3
Suppose -6*p - 251 = -2033. What is the second derivative of 0 + 305*l**2 - p*l**2 - 6*l + 0 wrt l?
16
Let t(p) be the second derivative of p**5/10 + 5*p**4/3 - p**3/3 - 7*p**2 + 194*p. What is the second derivative of t(a) wrt a?
12*a + 40
Let s(y) be the first derivative of -97*y**5/5 + 45*y**3 + 143. Find the third derivative of s(b) wrt b.
-2328*b
What is the second derivative of -22*l + 130*l - 26*l**2 - 12*l**2 wrt l?
-76
Let w(o) be the second derivative of o**6/120 + 3*o**4/8 + 3*o**2 + 12*o. Let c(a) be the first derivative of w(a). Find the second derivative of c(d) wrt d.
6*d
Suppose 13*n = 6*n + 224. What is the second derivative of -124*g + 64*g - n*g**4 + 86*g wrt g?
-384*g**2
Let n = -143 - -42. Let d = n + 169. What is the third derivative of -d*c**3 + 67*c**3 + 6*c**2 + c - c wrt c?
-6
Let z = -26 + 28. Differentiate -140*r**z + 63*r**2 + 65*r**2 - 11 with respect to r.
-24*r
Suppose -2*f + x + 2 = -0, 4*f + 3*x = 14. Find the second derivative of -f*g**2 + 15*g + 17*g**2 + 6*g**2 wrt g.
42
Suppose 0 = 2*j + 2 - 8, 0 = f + j - 5. Suppose 0 = -4*l + 4*q + q + 14, 3*q + 6 = f*l. Differentiate -l - 3 - 7*u**2 + 9*u**2 + 2 wrt u.
4*u
Let n be 25/10*(-4)/(-2). Let v be (n - 0)*(4 - 3). What is the third derivative of 0*y**5 + 4*y**5 - y**v - 2*y**5 + y**2 wrt y?
60*y**2
Let o = 64 - 60. Let y(w) = -w**3 - 10*w**2 + 12*w + 13. Let g be y(-11). What is the third derivative of -5*r**2 - g*r**4 + 6*r**o + 4*r**4 wrt r?
192*r
What is the third derivative of 921*y**6 - 9*y**5 + 85*y**2 - 919*y**6 - 3*y**5 wrt y?
240*y**3 - 720*y**2
Let r(o) = 72*o**2 + o + 58. Let q(i) = 146*i**2 + 2*i + 116. Let h(b) = -4*q(b) + 7*r(b). What is the derivative of h(d) wrt d?
-160*d - 1
Let r(a) be the third derivative of -7*a**6/360 - a**5/15 - 5*a**4/24 - 3*a**2. Let q(f) be the second derivative of r(f). Differentiate q(l) wrt l.
-14
Let p(r) be the first derivative of 0*r + 17/3*r**3 - 7*r**4 + 0*r**2 - 10. What is the third derivative of p(h) wrt h?
-168
Suppose -7*z = -z. Differentiate 9 + 9 - 4*t**4 + z + 19*t**4 wrt t.
60*t**3
Suppose -u + 3*u + f - 8 = 0, 3*u - 5*f = 25. Let d be (54/7)/(u/35). What is the first derivative of d*z - 61*z + 3 - 2 wrt z?
-7
Suppose -2*o - j = 3*o - 18, 3*j = 3*o. What is the second derivative of 3*v + v**3 - 7*v + 2*v**3 - v**o wrt v?
12*v
Let h(c) be the second derivative of 6*c**6/5 + c**3/6 + 99*c**2 + 414*c. Differentiate h(k) wrt k.
144*k**3 + 1
Let f(s) be the second derivative of 3*s**5/2 - s**4/12 + 22*s**2 - 160*s. Find the first derivative of f(c) wrt c.
90*c**2 - 2*c
Let v(w) be the second derivative of -w**4/8 + w**3/2 + 3*w**2/2 - 13*w. Let x(d) be the first derivative of v(d). What is the first derivative of x(i) wrt i?
-3
Find the second derivative of 50*v**2 - 16*v**3 + 110*v**3 - 16*v + 37*v**3 - 52*v**2 wrt v.
786*v - 4
Let r(v) be the second derivative of 23*v**5/10 + v**4/6 - 34*v**3 - 183*v. Find the second derivative of r(k) wrt k.
276*k + 4
Let p(q) = q**4 - q - 1. Let g(w) = -28*w**4 + 2*w - 4. Suppose 0 = 7*d + 12 - 19. Let v(c) = d*g(c) + 2*p(c). What is the derivative of v(h) wrt h?
-104*h**3
Let f(q) be the first derivative of -4 + 1/2*q**2 + 3*q. Differentiate f(m) with respect to m.
1
Let p(b) be the second derivative of 0*b**2 + 0 - 2*b + 17/6*b**3 - 3/20*b**5 + 0*b**4. What is the second derivative of p(w) wrt w?
-18*w
What is the first derivative of -27 + 10*d**2 + 4*d + 4*d - 115*d**2 - 8*d wrt d?
-210*d
Let u = -4 - -7. Let y(z) = 10*z - 399. Let a be y(40). Differentiate b - 10*b**u - b - a + 5 with respect to b.
-30*b**2
What is the derivative of -52*q**2 + 24 + 22*q**2 + 23*q**3 - 726 + 7*q**3 + 29*q**2 wrt q?
90*q**2 - 2*q
Let m(s) be the third derivative of -23*s**6/120 - 4*s**3 - 73*s**2. Differentiate m(t) with respect to t.
-69*t**2
Let a be (-169)/(-78) - 2/12. Suppose -6 = a*l + 2*h - 16, 3*l - 11 = h. Differentiate 1 + l*p + 4 - 4 - 2 wrt p.
4
Let o(s) = -s - 8. Let v be 7/(28/(-8))*4. Let h be o(v). What is the second derivative of h*u**5 + 4*u**5 - 10*u**5 - 8*u wrt u?
-120*u**3
Let x(g) be the third derivative of -3*g**6/4 - 313*g**5/60 + 324*g**2. What is the third derivative of x(m) wrt m?
-540
Let t(o) = -34*o**4 - 3*o**3 + 2*o + 187. Let x(n) = -35*n**4 - 4*n**3 + 2*n + 188. Let i(c) = -4*t(c) + 3*x(c). Find the first derivative of i(u) wrt u.
124*u**3 - 2
Suppose -8 = -n - n, -4*p = 3*n - 20. Find the third derivative of -1135*a**4 + 2 + 32*a**2 + 1145*a**4 - p wrt a.
240*a
Let l(v) = -5. Let u(p) = -1. Let j(o) = 2*l(o) - 11*u(o). Let f(y) = 5*y**2 - y - 5. Let q(z) = -2*f(z) - 10*j(z). Find the second derivative of q(a) wrt a.
-20
Let f = -7 - -72. What is the second derivative of 5*r - 2*r - f*r**3 + 57*r**3 wrt r?
-48*r
Let b(t) = -10 - 64 - 40 - 45*t - 51. Let a(z) = 9*z + 33. Let v(j) = -21*a(j) - 4*b(j). Differentiate v(c) wrt c.
-9
Let f be 440/140 - 2/14. What is the second derivative of 12*o**f + 10*o**3 - 16*o**3 + 6*o wrt o?
36*o
Let s(q) = -6*q - 4. Let c be s(-2). Suppose 0 = -c*l + 3*l + 20. What is the first derivative of -12 + 7 + 18 + 3*t**4 + 0*t**l wrt t?
12*t**3
Let x(g) = 243*g**2 + 83*g + 5. Let r(z) = -z**2 - z + 1. Let u(a) = 5*r(a) - x(a). Find the second derivative of u(m) wrt m.
-496
Let w(q) = -q**2 + 7*q - 4. Let z = -8 + 14. Let j be w(z). What is the first derivative of -j + 5 + 6*k**4 + 2 + 1 wrt k?
24*k**3
Let g(x) be the second derivative of 0*x**2 - 1/2*x**8 + 22*x + 7/2*x**4 + 0*x**5 + 0*x**7 + 0*x**6 + 0 + 0*x**3. What is the third derivative of g