2
What is the first derivative of -482*y - 17 - 82 + 128*y + 138 wrt y?
-354
Suppose -u + 5*u = 5*p + 39, -2*u - 3*p = -25. Let a = u - 6. What is the second derivative of 57*z**2 - 57*z**2 + 5*z + 5*z**a wrt z?
100*z**3
Let l(s) = -s**3 + 2*s - 1. Let y(f) = -f**6 - 102*f**4 - 3*f**3 + 2*f**2 + 74*f - 3. Let r(t) = -3*l(t) + y(t). What is the third derivative of r(h) wrt h?
-120*h**3 - 2448*h
Let p(q) = 160*q**2 + 104*q + 3. Let t(h) = 159*h**2 + 106*h + 2. Let l(z) = 2*p(z) - 3*t(z). Find the second derivative of l(b) wrt b.
-314
Let v(h) = -h**2 - h + 4. Let k(z) = -z + 8 - 8. Suppose 5*g - 3 + 8 = 0. Let u(j) = g*v(j) + k(j). Differentiate u(b) with respect to b.
2*b
Let z(s) = 23*s**3 + 75*s**2 + 3*s + 3. Let r(b) = -23*b**3 - 74*b**2 - 2*b - 2. Let n(k) = 3*r(k) + 2*z(k). Find the third derivative of n(x) wrt x.
-138
Let x = -11 + 13. What is the second derivative of 41*l**x - 70*l + 0 + 118*l + 0 wrt l?
82
Suppose 0 = -3*y - 3*c - 3, 37*c - 6 = 40*c. Let b(v) be the first derivative of -7/2*v**2 + 4/3*v**3 + y + 0*v. What is the second derivative of b(k) wrt k?
8
Let z = -1 - -11. Suppose z - 2 = 4*n. What is the third derivative of -i**2 - 3*i**n + 2*i**4 + 8*i**2 wrt i?
48*i
Let r(k) = 5*k - 18. Let w be r(4). What is the third derivative of 13*h**2 + 8*h**6 + 14*h**2 + 11*h**2 - 10*h**w wrt h?
960*h**3
Suppose 2*n - 2 = 14. Let o(r) = -5*r**3 - 8*r + 32. Let b(x) = 3*x**3 + 5*x - 21. Let q(l) = n*b(l) + 5*o(l). Differentiate q(w) wrt w.
-3*w**2
Suppose 0 = 5*a - 2*b - 4, -2*a - 5*b = -a - 17. What is the third derivative of 67*u**4 - 67*u**4 - 5*u**a + 8*u**6 wrt u?
960*u**3
Let a be (6 + -4)/((-4)/(-22)). What is the first derivative of 6 + 0 - 4*b**2 + a wrt b?
-8*b
Let h be (3*(-8)/(-60))/(1/5). What is the third derivative of -15*l**h - 13 + 13 - 10*l**4 - 7*l**4 wrt l?
-408*l
Suppose 12*h = 19*h - 14. What is the third derivative of -30*p**2 + 9*p**6 + 86*p**2 - 40*p**h wrt p?
1080*p**3
Let t = 4 + 1. Suppose p = 3*f - f - 3, t*p - 3 = 4*f. What is the first derivative of -2 + 6 + 1 + 0*m**f + 5*m**3 wrt m?
15*m**2
Suppose 0 = 31*d - 28*d - 24. What is the second derivative of d*b + 1480*b**3 - 1482*b**3 + 22*b wrt b?
-12*b
Let y(a) be the second derivative of 0*a**3 + 0 + 0*a**2 - 7/12*a**4 - 13*a - 13/30*a**6 + 0*a**5. Find the third derivative of y(s) wrt s.
-312*s
Suppose 3*n - 5*b = 4*n - 27, 5*n - 30 = -4*b. Suppose -3*w + 14 = n. What is the third derivative of 4 + 6*j**3 + 4*j**2 - w wrt j?
36
Let g = -3 - -4. Let b be -2 + g + (-6)/(-2). What is the first derivative of 9*w**2 + 4 + 8*w**3 - 9*w**b wrt w?
24*w**2
Suppose 2*g + 0*f = -2*f - 16, f - 16 = 5*g. Let z be 34*g*2/(-16). Find the first derivative of 33 - 6 - z + c**4 wrt c.
4*c**3
Suppose -4*p + 5*p + 4 = 0. Let c be 2/6 - p/6. Find the second derivative of 41*t**4 - 2*t - 47*t**4 - 1 + c wrt t.
-72*t**2
Find the second derivative of -9*y - 12*y**5 + 43*y + 3*y**2 - 9*y wrt y.
-240*y**3 + 6
Let q(n) be the second derivative of 191*n**5/20 - 68*n**3/3 - 59*n. Find the second derivative of q(r) wrt r.
1146*r
What is the second derivative of -3*q - 63*q**5 - 4*q - 1 + 10*q**2 - q + 62*q**5 wrt q?
-20*q**3 + 20
Suppose -146*s = -132*s - 42. Let t(o) be the third derivative of 3/2*o**s + 0 - 5*o**2 - 1/3*o**4 + 0*o. What is the derivative of t(r) wrt r?
-8
Let x(q) be the second derivative of q**8/120 - q**6/30 - 11*q**3/3 - 8*q. Let d(j) be the second derivative of x(j). Find the third derivative of d(r) wrt r.
336*r
Let n(z) be the first derivative of -31*z**2 - 209*z + 56. Differentiate n(p) wrt p.
-62
Let y(j) = 3*j**6 + 2*j**5 - 14*j**3 + j**2 + 2*j - 19. Let l(g) = -g**6 - g**5 - g - 1. Let o(b) = 2*l(b) + y(b). Find the third derivative of o(q) wrt q.
120*q**3 - 84
Let r = -49 + 53. Find the third derivative of 17*u**5 - 214*u**4 + 25*u**2 + 214*u**4 - r*u**5 wrt u.
780*u**2
Let i(o) be the third derivative of -69*o**4/8 + 19*o**3 + 189*o**2. What is the first derivative of i(a) wrt a?
-207
Let u(b) be the second derivative of -17*b - 13/30*b**6 + 0 + 0*b**2 + 0*b**5 + 0*b**4 + 3/2*b**3. Find the second derivative of u(g) wrt g.
-156*g**2
Find the second derivative of 27*r**2 - 69*r**2 + 173*r - 8*r**5 + 40*r**2 wrt r.
-160*r**3 - 4
Let d(f) be the second derivative of -f**4/3 + f**3/3 - 13*f**2/2 - 47*f. Find the second derivative of d(y) wrt y.
-8
Let n(q) be the third derivative of 401*q**4/24 + 93*q**3 + 69*q**2. Differentiate n(k) with respect to k.
401
Let q(y) = -106*y**3 - 7*y**2 + 4*y + 57. Let s(d) = 55*d**3 + 3*d**2 - 2*d - 29. Let b(x) = 3*q(x) + 7*s(x). Differentiate b(g) wrt g.
201*g**2 - 2
Let s = -10 + 15. Suppose 0 = -4*f - 0*f - 2*q + 8, 0 = 3*f - s*q - 6. Find the third derivative of w**f - 2*w**5 + w**2 - 3*w**5 + 2*w**2 wrt w.
-300*w**2
Let r(j) = -711*j - 2421. Let o(u) = 32*u + 110. Let n(t) = -45*o(t) - 2*r(t). Differentiate n(z) wrt z.
-18
What is the second derivative of 0*h**3 - 9*h + 3*h + 10*h**3 - 47*h wrt h?
60*h
Let u(m) be the third derivative of -m**5/30 - 11*m**4/6 - 23*m**3/3 + 9*m**2 + 5. What is the first derivative of u(i) wrt i?
-4*i - 44
Find the first derivative of 91*u - 247 - 176*u + u**2 - 83*u wrt u.
2*u - 168
Let v(t) = 48*t**3 + 11*t**2 - 9*t + 258. Let o(k) = 49*k**3 + 12*k**2 - 10*k + 257. Let x(b) = -9*o(b) + 10*v(b). What is the third derivative of x(s) wrt s?
234
Let f be (30/(-25))/3*-5. Find the third derivative of 35*h**6 - 17 - 2*h**f + 378*h**3 - 378*h**3 wrt h.
4200*h**3
Let r be 106/34 - (-14)/(-119). Differentiate 12 - 31*b**3 - 12*b**2 - 39*b**r + 69*b**3 with respect to b.
-3*b**2 - 24*b
Let h(u) be the first derivative of -u**4/2 - 14*u**3/3 + 84*u - 878. Differentiate h(l) wrt l.
-6*l**2 - 28*l
Let y(a) be the second derivative of 0*a**3 - 7/6*a**4 + 0 - 18*a + 1/2*a**2. What is the first derivative of y(w) wrt w?
-28*w
Let w(t) be the third derivative of 0*t**3 + 29/24*t**4 + 31*t**2 + 0*t**5 - 1/24*t**6 + 0 + 0*t. Find the second derivative of w(z) wrt z.
-30*z
Let a be (-2 - (0 + 2))/(-1). Let y = -2 + a. Find the second derivative of n + n**4 + 0*n**4 - 2*n - y*n**4 wrt n.
-12*n**2
Let r(g) = 391*g**3 - 24*g**2 - g - 26. Let q(l) = -390*l**3 + 28*l**2 + l + 27. Let s(z) = 6*q(z) + 7*r(z). Find the second derivative of s(j) wrt j.
2382*j
Let z(b) = -285*b + 170. Let k(d) = 286*d - 169. Let g(c) = 6*k(c) + 7*z(c). Differentiate g(f) wrt f.
-279
Suppose -200 = -2*p - 3*p. Find the first derivative of p*z - 16*z**4 - 40*z - 1 wrt z.
-64*z**3
Let f(k) = k**2 + 7*k + 4. Let b be f(-5). Let q be 0*(-3)/b*2. Find the second derivative of -2*o**2 - 3*o + q*o + 1 - 1 wrt o.
-4
Suppose -5*g = -0*g - 5*c + 5, -4*c + 31 = 5*g. Let p = -3 + g. What is the second derivative of 2*u**4 + p*u**4 + 2*u - 7*u**4 wrt u?
-60*u**2
Let f = -331 + 331. Let b(j) be the third derivative of 0*j + 5/24*j**4 + f - 5/6*j**3 - 4*j**2. Find the first derivative of b(p) wrt p.
5
Let v(c) be the second derivative of -c**6/6 - c**5/20 + 421*c**3/6 + 90*c. What is the second derivative of v(y) wrt y?
-60*y**2 - 6*y
Let c(i) be the second derivative of -289*i**5/10 + 242*i**2 - 55*i - 3. Find the first derivative of c(a) wrt a.
-1734*a**2
Suppose y - 3 = -4*f + 4, 3*y = -f - 1. Let c be (-3)/(-1) - (y - -2). Differentiate -10 - 6*x**c + 193*x - 193*x wrt x.
-12*x
Let d = -12 + 16. Find the second derivative of -6*k - 2*k**d + k - 6*k wrt k.
-24*k**2
Let f(v) be the third derivative of v**8/168 - 31*v**6/120 + 385*v**4/24 - 3*v**2 + 38. Find the second derivative of f(r) wrt r.
40*r**3 - 186*r
Find the third derivative of -55*r**2 + 57*r**2 + 100*r**2 + 22*r**6 + 21*r**6 wrt r.
5160*r**3
Suppose 2*q + 5 = -5*p + 40, 5*q - 135 = -3*p. What is the third derivative of 512*s - 512*s + 23*s**3 - q*s**2 wrt s?
138
Let d(r) be the second derivative of 68*r**3 + 350*r**2 + 2*r - 278. What is the derivative of d(y) wrt y?
408
Let n(w) be the second derivative of 731*w**4/12 - 65*w**3/6 - 534*w. Find the second derivative of n(o) wrt o.
1462
Let g(t) = 560*t**5 + 2*t**4 - 81*t**2 - 2*t - 2. Let m(j) = -j**5 - 2*j**4 - j**2 + 2*j + 1. Let a(h) = g(h) + m(h). Find the third derivative of a(k) wrt k.
33540*k**2
What is the derivative of 33*w + 21*w - 177 + 52*w - 40 wrt w?
106
Let i(t) = 58*t**3 + 4*t**2 + 6*t + 158. Let d(j) = 57*j**3 + 