*3
Let z(v) = 385*v**3 + 4*v**2 + 7*v - 74. Let u(y) = 383*y**3 + 3*y**2 + 6*y - 75. Let h(j) = 4*u(j) - 3*z(j). Find the second derivative of h(n) wrt n.
2262*n
Suppose 2*q = -5 + 21. Let i = -27 + 34. What is the first derivative of -i*z**2 + 8 - 7 - q wrt z?
-14*z
Let m = 1 - -2. Suppose 2*s - x = 9, -m*s + 2*s = 2*x + 8. What is the second derivative of -d + 8*d - 2*d**s - d**2 + 0*d**2 wrt d?
-6
Suppose -2*n = -n - 3. Suppose -n*u = -w - 13, -u + 3*w + 5 + 2 = 0. Find the second derivative of 23*b**3 - 2*b + 20*b**3 + 2*b**u - 43*b**3 wrt b.
24*b**2
Suppose 5*h + 7 = -2*w, w = 2*h + 3*h + 19. Find the second derivative of 7*k + 6*k**5 + w*k**5 - 15*k wrt k.
200*k**3
Let l(s) be the third derivative of -13*s**5/60 - 25*s**4/24 - 91*s**3 - 318*s**2 + 1. What is the first derivative of l(b) wrt b?
-26*b - 25
Let q(p) = -199*p**2 + 9*p - 67. Let i(x) = -50*x**2 + 2*x - 17. Let g(j) = 18*i(j) - 4*q(j). What is the derivative of g(u) wrt u?
-208*u
Let v be -1*(-3 + -1 - -1). What is the third derivative of -8*k**5 + 10*k**2 - 8*k**2 - v*k**5 wrt k?
-660*k**2
Let m(z) be the third derivative of -571*z**4/24 + 193*z**3/6 + 491*z**2. Find the first derivative of m(a) wrt a.
-571
Let y(k) = -k - 3. Let w be ((-2)/1)/((-2)/(-5)). Let v be y(w). What is the third derivative of 34*j**2 - 57*j**v + 28*j**2 + j**6 wrt j?
120*j**3
Differentiate 440*p + 384*p - 191*p + 54*p + 399 + 550 with respect to p.
687
Let m(l) be the first derivative of 17*l**4 - 2*l**3/3 + 5*l - 15. What is the third derivative of m(o) wrt o?
408
Let c = -11 - -36. What is the first derivative of -c*i + 7 + 25*i - 13*i**2 wrt i?
-26*i
Suppose 0 = -k - 2 + 5. Let u be (-22)/(-1) - (k + -1). Find the third derivative of u*r**2 - 2*r**3 - 30*r**2 - 5*r**3 wrt r.
-42
What is the third derivative of 52*h**6 - 22*h**6 + 27 + 2*h**2 + 2*h**2 + 46*h**3 - 28*h**6 + 47*h**3 wrt h?
240*h**3 + 558
Let t(x) be the second derivative of 7*x**3 + 45*x**2/2 - 5*x. Let f(d) = 14*d + 15. Let s(c) = 11*f(c) - 4*t(c). Find the first derivative of s(q) wrt q.
-14
Let v be (-3 - -5)/(1/(-2)). Let s be (-4 + 1)*v/6. Differentiate -3*c**2 + 4 - 2*c**s + 4*c**2 wrt c.
-2*c
Suppose 0 = -2*n + 8*p - 4*p + 8, 0 = -3*n - p + 5. Differentiate -30 - 10 + 73*y**n - 102*y**2 wrt y.
-58*y
Let d(z) be the second derivative of 0*z**4 + 0 - 5*z + 0*z**3 + 0*z**5 + 7/30*z**6 - 5/2*z**2. What is the first derivative of d(w) wrt w?
28*w**3
Let k(y) = y - 1. Let z be 2 + (-9)/3 + -1. Let g = -63 - -49. Let r(d) = -3*d**2 - 7*d + 12. Let m(n) = g*k(n) + z*r(n). What is the derivative of m(f) wrt f?
12*f
Let x(t) be the first derivative of -10*t**5 - 17*t**3/3 - t**2 + 49. What is the third derivative of x(p) wrt p?
-1200*p
What is the third derivative of -77*y**2 - 5246*y + 57*y**5 + 5246*y wrt y?
3420*y**2
Let c(n) be the second derivative of -319*n**6/30 + n**4/12 + 25*n**2 - 9*n. What is the third derivative of c(k) wrt k?
-7656*k
Let p(d) be the third derivative of d**6/60 + 19*d**5/120 - 5*d**4/8 + 27*d**2. Let h(b) be the second derivative of p(b). Differentiate h(o) with respect to o.
12
Let y(t) = -5*t - 4. Let q be y(-2). Let n be 60/(-8)*(-4)/q. Differentiate n + 4 - 6 + 2*g**3 wrt g.
6*g**2
Suppose -3*c + 0*s + 5*s = -1042, -2*s = 2*c - 668. What is the third derivative of -12*v**2 - 339 + c + 27*v**5 wrt v?
1620*v**2
Differentiate 7*p**2 - 21 + 15*p + 35*p - 37*p + 1 with respect to p.
14*p + 13
Let n(u) be the second derivative of -23*u**5/10 - u**3/3 + 245*u**2/2 + 55*u + 2. What is the derivative of n(s) wrt s?
-138*s**2 - 2
Let r(f) be the third derivative of -f**5/20 + 13*f**4/24 + 293*f**3/3 + 702*f**2. What is the first derivative of r(u) wrt u?
-6*u + 13
Suppose 3*d = 2*d. Suppose 6 = 3*p - d. Find the first derivative of -2 - g**p + 11*g**2 + 0 + 0 wrt g.
20*g
Let t(n) = 3*n**3 - 14*n**2 + 5*n + 2. Let o be t(6). What is the second derivative of o*i + 2*i**5 - 93*i - 93*i wrt i?
40*i**3
Suppose -2*k = 13 - 17. Differentiate -11 + 10*c**3 + k + 0*c**3 with respect to c.
30*c**2
Let x(y) = 2*y**5 + 5*y**4 + 7*y**2 + 5. Let v(o) = -12*o**5 - o**4 + 3 - o**2 - 4 + 13*o**5. Let h(s) = 5*v(s) + x(s). Find the third derivative of h(r) wrt r.
420*r**2
Let y be (-4 - 4)/(6/(-9)). Suppose y = -n - 3*n, 0 = -4*u - 2*n + 2. What is the third derivative of u*w**2 + 4*w**4 + 0*w**4 + 5*w**2 - 9*w**2 wrt w?
96*w
Let s(h) = 2*h**2 - 44*h - 38. Let p be s(23). Suppose 9*o = 4*o + 5*m + 2585, 4*o = 2*m + 2058. Find the second derivative of 512 - o - 9*y**4 - p*y wrt y.
-108*y**2
Let i(a) be the first derivative of -a**5/5 - 3*a**4 - a**3/3 + 193*a - 423. What is the third derivative of i(z) wrt z?
-24*z - 72
Suppose 70*a - 54 = 67*a. What is the second derivative of -3*r**2 + 2*r + 350 - 345 - 2*r**5 + a*r**5 wrt r?
320*r**3 - 6
Let o(z) be the first derivative of -14*z**5/5 + 11*z**3/3 + 126*z**2 - 634. Find the second derivative of o(l) wrt l.
-168*l**2 + 22
Let u(d) be the first derivative of -8*d**6/3 - 3*d**4/2 - 7*d**2/2 + d + 152. What is the second derivative of u(x) wrt x?
-320*x**3 - 36*x
Let p(u) = -u + 1. Let d be p(-1). Find the third derivative of -3*y**2 - 3*y**2 + 0*y**3 - 10*y**3 + d*y**3 wrt y.
-48
Let t(o) be the first derivative of -23*o**4/2 + 37*o**3/3 - 105. Find the third derivative of t(y) wrt y.
-276
Let t(h) = -197*h**4 + 7*h**2 - 10*h + 511. Let o(u) = 98*u**4 - 3*u**2 + 4*u - 256. Let v(n) = 5*o(n) + 2*t(n). Differentiate v(y) with respect to y.
384*y**3 - 2*y
Suppose -3*q + 14 = 5*r, r + 0*r + 2*q = 0. Suppose -j + 2 = l, l - 8 + 6 = 4*j. Find the second derivative of -2*o**2 + r*o**l + o**2 + 7*o wrt o.
6
Suppose 10 = 4*j - 6. What is the third derivative of 5*z**2 + z**2 - 3*z**4 + 12*z**j - 8*z**2 wrt z?
216*z
Let f(h) be the first derivative of -12 - 39/4*h**4 + 0*h**3 + 0*h**2 - 18*h. What is the first derivative of f(a) wrt a?
-117*a**2
Let t(r) = -27*r**3 - 17*r**2 + 5*r - 813. Let a(m) = -14*m**3 - 10*m**2 + 3*m - 406. Let g(c) = -5*a(c) + 3*t(c). Find the third derivative of g(l) wrt l.
-66
Let m(u) be the second derivative of 0*u**3 + 41/2*u**2 + 0*u**5 + 0*u**4 - 2*u - 1 - 3/5*u**6. What is the first derivative of m(f) wrt f?
-72*f**3
Let z(h) be the first derivative of h**4/4 - 2*h**3/3 + h**2/2 - 2. Let k be z(2). What is the third derivative of 2*a**2 + 0*a**k - 2*a**5 - 4*a**2 wrt a?
-120*a**2
Let y(b) be the second derivative of -b**5/5 + 94*b**4/3 - b + 169. Find the third derivative of y(v) wrt v.
-24
Find the third derivative of -2*v**4 - 281*v + 281*v + 2*v**4 + 182*v**2 - 137*v**6 wrt v.
-16440*v**3
Let u(h) = 2*h**3 - h**2 - 2*h - 1. Let j(f) = 157*f**3 + 123*f**2 + 4*f + 2. Let p(a) = j(a) + 2*u(a). What is the third derivative of p(q) wrt q?
966
Let c(f) be the second derivative of -154*f**3/3 + 13*f**2 + 46*f. Find the first derivative of c(o) wrt o.
-308
Let k(f) be the third derivative of -f**7/2 - f**5/60 + 23*f**3/3 - 148*f**2. What is the derivative of k(o) wrt o?
-420*o**3 - 2*o
Let y be ((-2)/4)/1*-10. Suppose y*a = -0 + 30. What is the derivative of 1 + a*p - 1 - 3 + 2 wrt p?
6
Let c = 1549/4 - 385. Let m(h) be the first derivative of 6 + 0*h**2 + 7*h - c*h**4 + 0*h**3. Differentiate m(s) with respect to s.
-27*s**2
Let y(j) be the second derivative of -17/20*j**5 + 5/12*j**4 + 0*j**2 - 12*j + 0*j**3 + 0. What is the third derivative of y(c) wrt c?
-102
Let t(w) be the first derivative of -w**6/40 + 31*w**5/120 + 14*w**3/3 - 24. Let n(g) be the third derivative of t(g). Find the second derivative of n(p) wrt p.
-18
Let w(v) be the third derivative of 161*v**6/60 + 87*v**3 + 395*v**2. Differentiate w(p) wrt p.
966*p**2
Let l be (-14)/(-21) - 26/(-6). Suppose 2*y = 1 + l. What is the derivative of -2*m + y + 5*m**3 + 2*m - 11 wrt m?
15*m**2
Suppose -2*a + 2 = 0, -4*k - 5*a + 11 + 2 = 0. Differentiate -q**2 - q**2 - 5 + 13*q**2 - k wrt q.
22*q
Let o(v) be the third derivative of -2/3*v**4 + 0 - 1/12*v**6 + 0*v**3 + 0*v + 11*v**2 + 0*v**5. Find the second derivative of o(m) wrt m.
-60*m
Let x(b) be the first derivative of 190*b**3/3 - 198*b + 158. What is the first derivative of x(v) wrt v?
380*v
Let j(a) = a**5 + a. Let q = -89 - -92. Let h(v) = 8*v**5 - 3*v**2 + v. Let i(x) = q*j(x) - 3*h(x). What is the third derivative of i(p) wrt p?
-1260*p**2
Let v(i)