6. Find the second derivative of n(u) wrt u.
4728*u**2
Let i(y) = y**2 + 4*y - 8. Let o be i(-6). Let w be (-1 + 0 - 5)*-1. What is the first derivative of o - w + 4*b - 1 - 2*b wrt b?
2
Let p(x) be the second derivative of -23*x**6/30 - 18*x**2 - 169*x. Differentiate p(a) with respect to a.
-92*a**3
Let m(s) = s**3 - 7*s**2 + 7*s + 1. Let w be m(6). What is the second derivative of -r**3 + w*r + 8*r + 17*r - 19*r**4 - 20*r**4 wrt r?
-468*r**2 - 6*r
Let x be (-736)/48*(-2 + -1). Differentiate 21*k**4 - x*k**4 + 14 + 21*k**4 with respect to k.
-16*k**3
Find the second derivative of 15*s**3 - 10*s - 24*s - 16*s**3 - 23*s - 4*s**5 wrt s.
-80*s**3 - 6*s
Let f(n) be the second derivative of 3*n + 0 + 2/3*n**3 - 2*n**2 + 1/24*n**4. Let d(b) be the first derivative of f(b). What is the derivative of d(i) wrt i?
1
Differentiate 88 + 123*f**3 + 104 - 79*f**3 wrt f.
132*f**2
Find the second derivative of -25*z**3 - 1195*z + 156*z + 260*z + 11*z**3 wrt z.
-84*z
Let a be 64/(-10)*(-10)/4. Find the first derivative of a + 5*t**3 - 5 - 1 - 2 wrt t.
15*t**2
Differentiate -2*d**3 + 3*d**2 + 169 + d**3 + d**2 - 9*d**2 - 2*d**2 wrt d.
-3*d**2 - 14*d
Suppose 2*h = -h + 39. Let r = 17 - h. What is the third derivative of -5*v**5 + r*v**5 - 5*v**2 - 2*v**2 wrt v?
-60*v**2
Let w(t) be the first derivative of 3*t**4 + 8 + 0*t**2 + 0*t - 2/3*t**3. Find the third derivative of w(o) wrt o.
72
Suppose -19 - 98 = -3*i. Suppose -2*o = -5*q, -11 = 4*q + 4*o - i. What is the derivative of -x - q*x - 5 + 2*x wrt x?
-1
Let d(b) = -b**4 + b**3 + b**2 - 1. Let g(z) = 16*z**4 + 4*z**3 - 8*z**2 - 600. Let l(y) = -8*d(y) - g(y). What is the first derivative of l(s) wrt s?
-32*s**3 - 36*s**2
Let s(j) be the third derivative of 0*j**7 + 0 + 13/336*j**8 - 23*j**2 + 0*j + 0*j**3 - 1/2*j**5 + 0*j**4 + 0*j**6. Find the third derivative of s(l) wrt l.
780*l**2
Let c(n) = 28*n**2 - 3*n. Let y(l) = -14*l**2 + l. Suppose -7*v = 4*v - 99. Let b(g) = v*y(g) + 4*c(g). Find the second derivative of b(a) wrt a.
-28
Let p(b) = b**4 - 289*b**3 - 5*b**2 + 9*b + 6. Let l(u) = -3*u**3 - u + 1. Let o(z) = 6*l(z) - p(z). What is the third derivative of o(y) wrt y?
-24*y + 1626
Suppose 4*v - 7 = -3*n + 153, 0 = n + 3*v - 50. Let c be (-16)/(-14)*n/16. What is the first derivative of 12 - 4 - 3*a**4 + 2*a**4 + 3*a**c wrt a?
8*a**3
Suppose -2*w = -13 + 9. Let f(h) be the first derivative of -h - 3 + 7/2*h**w. Differentiate f(j) wrt j.
7
What is the derivative of 689 - 16*g**4 - 1010 + 17*g - 6*g wrt g?
-64*g**3 + 11
Let p(k) = -22*k**2 - k - 38. Let c(b) = b + 1. Let q(m) = -3*c(m) - p(m). What is the second derivative of q(h) wrt h?
44
What is the third derivative of 73 + 67 + 66 - 206 - 28*a**2 - 249*a**6 wrt a?
-29880*a**3
Let f(a) be the third derivative of -a**5/6 - 31*a**3/2 + 39*a**2 - a. What is the derivative of f(y) wrt y?
-20*y
Let m(u) be the third derivative of -11*u**8/112 - u**6/40 - 23*u**4/12 + u**2 + 4*u. What is the second derivative of m(o) wrt o?
-660*o**3 - 18*o
Suppose -a + 1 = -3. Suppose -7*w + 12 = -a*w. What is the derivative of -3*b**4 + 8*b**w + b**4 - 8 + 0*b**4 wrt b?
24*b**3
Let a(j) be the second derivative of 11*j + 0*j**4 + 1/3*j**3 + 0 + 0*j**2 + 11/20*j**5. Find the second derivative of a(u) wrt u.
66*u
Let c(l) be the second derivative of 11*l**9/504 + l**5/12 - 5*l**2 - 6*l. Let w(n) be the first derivative of c(n). Find the third derivative of w(g) wrt g.
1320*g**3
Let o be (1 + -8)*(-5)/5 + -3. Find the third derivative of -30*d**3 + 2*d**2 + 6*d**o + 30*d**3 + 3*d**2 wrt d.
144*d
Suppose -4 = -3*x + 4*l + 81, -2*l + 133 = 5*x. What is the third derivative of -8*v**5 - 27*v**3 - 3*v**5 - 22*v**2 + x*v**3 wrt v?
-660*v**2
Let h(i) = -5*i - 2. Let p(y) be the second derivative of -y + 0 + 5/6*y**3 + y**2. Let j(b) = 4*h(b) + 5*p(b). Differentiate j(u) wrt u.
5
Let g(o) be the first derivative of -115*o**4/4 - 11*o**3/3 - 2*o - 235. Find the third derivative of g(q) wrt q.
-690
Suppose 6 = -i - 2*o + 13, 3*o = 6. Suppose 5*s - 16 = -3*s. Differentiate -6 - s*z**3 - 4*z**i - z**4 + 6*z**3 wrt z.
-4*z**3
Let i(v) be the first derivative of 47*v**8/1680 - 11*v**4/24 - 2*v**3 - 18. Let z(a) be the third derivative of i(a). Differentiate z(x) wrt x.
188*x**3
Let x(o) be the third derivative of -o**7/210 + 13*o**5/15 + 35*o**4/12 - o**3/6 + 3*o**2 - 10*o. Find the second derivative of x(z) wrt z.
-12*z**2 + 104
Let t(s) = 23*s - 362. Let m be t(16). Let v(h) = -h**2 + 4*h - 2. Let p be v(3). What is the derivative of -2 + m*r + 1 - p - r wrt r?
5
Find the third derivative of 271*b**2 + 4*b**3 + 44*b**4 + 72*b**4 - 178*b**4 wrt b.
-1488*b + 24
What is the second derivative of 2271 + 192*p**4 - 2271 - 3*p - 55*p**4 wrt p?
1644*p**2
What is the derivative of -72081*c**3 + 62 + 72424*c**3 + 0*c + 0*c wrt c?
1029*c**2
Let u(x) = 234*x - 63. Let k(n) = -156*n + 41. Let t(o) = 8*k(o) + 5*u(o). What is the derivative of t(z) wrt z?
-78
Let f be 0 + 9/3 - -2. What is the third derivative of 55*g**f - 5 + 5 - 40*g**2 - 63*g**5 wrt g?
-480*g**2
Let f(c) be the first derivative of 2*c**3 + 15*c**2/2 + c + 8. What is the second derivative of f(o) wrt o?
12
Let f(h) = h**3 - h**2 - 2*h. Let k(a) = -2*a**3 - 6*a**2 - 13*a + 44. Let r(w) = 6*f(w) - k(w). What is the second derivative of r(o) wrt o?
48*o
Let n(x) be the second derivative of -x**7/210 + x**5/6 + 15*x**2/2 - 4*x. Let a(w) be the first derivative of n(w). Find the third derivative of a(b) wrt b.
-24*b
Let n be 1 + (8/4 - -18). What is the third derivative of 24*q**5 + 43*q**5 - n*q**5 - 36*q**2 - 7*q**2 wrt q?
2760*q**2
Let v = 40 - 35. Let y(x) = 4*x**6 + 5*x**3 - 9*x**2 - 5*x. Let g(q) = q**6 + q**3 - q. Let a(i) = v*g(i) - y(i). Find the third derivative of a(c) wrt c.
120*c**3
Let s be (72/(-30))/(1/(-5)). Suppose -p - 2*p = -s. Differentiate 3*i**2 + p*i - 4*i - 7 + 17 wrt i.
6*i
Let a be -1 - (9 - (1 - 1)). Let h be ((-6)/(-15))/((-2)/a). Differentiate 2 - 4 - 3*r**h - 2 wrt r.
-6*r
Find the second derivative of -310 - 222*o**3 + o - 2*o**2 + 225*o**3 + 0*o**2 + 2*o**2 - 78*o**4 wrt o.
-936*o**2 + 18*o
What is the first derivative of 4*s**2 + 2*s - 219 - 30 - 2*s + 2*s**3 wrt s?
6*s**2 + 8*s
Let w(r) = 33*r + 93. Let f(y) = -98*y - 280. Let g(t) = -2*f(t) - 7*w(t). Find the first derivative of g(o) wrt o.
-35
Let b be (2 + -2)/(-4 - -6). Let h(j) be the first derivative of -11 + 0*j**3 - 1/2*j**4 + 2*j + b*j**2. Differentiate h(i) wrt i.
-6*i**2
Let s(c) be the third derivative of 0*c**5 + 0 + 0*c + 0*c**7 - 1/12*c**4 + 0*c**3 + 10*c**2 + 0*c**6 + 3/112*c**8. Find the second derivative of s(p) wrt p.
180*p**3
Let u(l) be the third derivative of 101*l**6/120 + l**5/30 - 5*l**4/24 + 485*l**2. What is the second derivative of u(o) wrt o?
606*o + 4
Suppose 0 = 2*y + 5 - 9. What is the third derivative of 5*d**6 + 16*d**2 - 3*d**6 - 14*d**y wrt d?
240*d**3
What is the third derivative of -3*m**2 - 47157 + 47121 + 29*m**3 + m**2 + 65*m**3 + m**2 wrt m?
564
Let c(s) = 2*s - 14. Let l be c(9). Let d be 2 - (3 - (l - 1)). Differentiate 2*g + 0*g - d + 0*g - 2 wrt g.
2
Let k(f) = -8*f**3 + 9*f**2 - 16*f - 2. Let h(x) = 7*x**3 - 8*x**2 + 15*x + 2. Let s(b) = -3*h(b) - 2*k(b). What is the second derivative of s(g) wrt g?
-30*g + 12
Find the second derivative of 266*s + 27*s**4 + 35089*s**5 + 38*s**4 - 35092*s**5 wrt s.
-60*s**3 + 780*s**2
Let a be (0/(-9))/(-11)*-1. Let s(q) be the second derivative of 10*q - 2/3*q**3 - 2*q**2 + a. Differentiate s(w) wrt w.
-4
Find the first derivative of -157*j**3 + 492*j**3 - 238*j**3 - 13 wrt j.
291*j**2
Let w(c) = -653*c - 130. Let p(t) = 436*t + 87. Let b(m) = 8*p(m) + 5*w(m). What is the first derivative of b(s) wrt s?
223
Let d = 840 - 840. Let s(b) be the first derivative of d*b**4 + 0*b**2 + 4/5*b**5 + 0*b + 4 + 1/3*b**3. What is the third derivative of s(o) wrt o?
96*o
What is the first derivative of 6*x - 4*x**3 + 0*x + 33 + 2*x**3 - 3*x - 12*x wrt x?
-6*x**2 - 9
What is the second derivative of 23 + 26 - 51 - 22*t + 20*t**2 wrt t?
40
Let u(r) be the first derivative of 1565*r**2 - r**4 - 10 - r - 1565*r**2. What is the first derivative of u(q) wrt q?
-12*q**2
Suppose 4*n = -2*d + 100, -d + 125 = 5*n + 2*d. Suppose -2*w - n + 35 = 0. What is the second derivative of 5 - w + 6*i**2 - 