4
Let s(n) be the first derivative of -327*n**4/2 + 4*n**3 - n + 302. What is the third derivative of s(k) wrt k?
-3924
Suppose 4 = 4*t - 4. Suppose -o - 3*s = 3, -o - t*o - 2*s + 26 = 0. What is the third derivative of -o*l**6 + 6*l**2 + 4*l + l - 5*l wrt l?
-1440*l**3
Let c(o) be the third derivative of 4*o**7/21 - o**6/40 + 29*o**5/60 + o**4/8 + 155*o**2. Find the third derivative of c(i) wrt i.
960*i - 18
Let c(g) = -g**2 - 6*g - 3. Let a be c(-5). What is the second derivative of -9*f**2 + 0*f**a - 3*f**2 - f**2 + 11*f wrt f?
-26
Let m(l) be the second derivative of -13*l**6/360 + l**4/8 - 7*l**3/6 - 24*l. Let j(s) be the second derivative of m(s). Differentiate j(h) with respect to h.
-26*h
Let n(u) be the third derivative of -7*u**6/24 + u**5/3 - u**2 - 112*u. Find the third derivative of n(r) wrt r.
-210
Let i(k) = 17*k + 108. Let y(b) = 13*b + 108. Let q(g) = 3*i(g) - 4*y(g). What is the first derivative of q(h) wrt h?
-1
Let o(t) = t**4 - t**3 - t**2 - 1. Let a(c) = 32*c**4 - 12*c**3 - 12*c**2 - 608. Let z(m) = a(m) - 12*o(m). Differentiate z(w) wrt w.
80*w**3
Let n(l) be the second derivative of -2*l**5/5 + l**3 + 191*l**2/2 - 4*l + 10. What is the derivative of n(m) wrt m?
-24*m**2 + 6
Let u(m) be the second derivative of 143*m**4/12 - 2*m**3/3 + m**2 - 17*m. What is the second derivative of u(c) wrt c?
286
Let g(r) be the first derivative of -61*r**4/4 + 20*r**3 - 33. What is the third derivative of g(o) wrt o?
-366
What is the first derivative of 9*i - 155 - 1 + 17 + 17*i wrt i?
26
Let n(q) = -q**3 + 7*q**2 + 9*q - 8. Let z be n(8). Suppose -5*r + z = -15. What is the first derivative of v**r + v**2 - 2 - v**2 + 7 wrt v?
3*v**2
Let q(i) be the second derivative of -57*i**5/2 + i**4/6 + 76*i**3 + 40*i. Find the second derivative of q(h) wrt h.
-3420*h + 4
Let g(r) be the third derivative of 3*r**6/40 + 3*r**5/20 - 64*r**3/3 - 151*r**2 - 1. What is the first derivative of g(d) wrt d?
27*d**2 + 18*d
Let i(w) be the first derivative of 116*w**6/3 - 2*w**5/5 + 142*w**3/3 + 447. Find the third derivative of i(s) wrt s.
13920*s**2 - 48*s
Let r(k) = k**3 + 15*k**2 - 3*k - 7. Let g be r(-15). Let a = -36 + g. Find the third derivative of 8*i**4 - 6*i**2 - 6*i**a + 3*i**2 + i**2 wrt i.
192*i
Suppose 5*r - 2*r = 9. Find the second derivative of -3*t - 25*t**3 + 12*t + 28*t**r wrt t.
18*t
Let x(d) be the second derivative of -6*d + 0*d**3 - 21/2*d**2 + 0 - 7/3*d**4. Differentiate x(a) with respect to a.
-56*a
Suppose 7*n - 16 = 2*n - 4*o, -5*o + 7 = 3*n. Let f = -14 - -16. What is the second derivative of -8*y**4 + 2*y - 2 + f + y**n wrt y?
-84*y**2
Let p(y) = -4*y**2 + 10*y - 5. Let w(f) = f - 1. Let d be 2 + -2 + (-4)/4. Let r = d - -6. Let t(i) = r*w(i) - p(i). Find the second derivative of t(c) wrt c.
8
Let i(r) = 14*r + 4. Let u(m) = -1. Let w(p) = -2. Let q(v) = 7*u(v) - 3*w(v). Let g(f) = -i(f) - 5*q(f). Differentiate g(z) with respect to z.
-14
Suppose l = 4*l. What is the derivative of -5 - 11*k - 3 + 0 + l wrt k?
-11
Suppose 2*x + 12 = -2*b - 2*x, 5*b + 4*x + 6 = 0. Find the third derivative of 4*v**2 - 2*v**4 - 6*v**b + 0*v**4 + 0*v**4 wrt v.
-48*v
Suppose 0 = 4*t - 15 - 1. Find the third derivative of -4*y + y**2 + 7*y**2 + t*y + 17*y**4 wrt y.
408*y
Find the third derivative of -88*y**4 + 109*y**4 - 28*y**2 + 103*y**4 wrt y.
2976*y
Let b(a) be the second derivative of 3*a**8/28 + a**5/10 + 15*a**4/4 - a**2 - 10*a - 5. Find the third derivative of b(y) wrt y.
720*y**3 + 12
Let q(a) = -178*a**3 + 10*a**2 - 479*a - 10. Let o(g) = 89*g**3 - 4*g**2 + 239*g + 4. Let m(c) = -5*o(c) - 2*q(c). What is the second derivative of m(f) wrt f?
-534*f
Let t be 19*(-1)/(-5) + (-19)/(-95). What is the second derivative of 4590*j**t - 33*j + 2 - 4596*j**4 - 1 + 4*j**3 wrt j?
-72*j**2 + 24*j
Let t(q) = -514*q**2 - 244*q. Let y(p) = -172*p**2 - 81*p. Let r(z) = 6*t(z) - 20*y(z). What is the second derivative of r(w) wrt w?
712
What is the derivative of -79 - 43 + 90 + 2*j**2 + 54*j**4 - 3*j**2 wrt j?
216*j**3 - 2*j
Suppose -5*a = w - 103, 2*w = -0*w + 6. What is the third derivative of 9*q**5 - a*q**2 - 3*q**2 + 14*q**5 wrt q?
1380*q**2
What is the first derivative of -28 - 3*k + 12*k + 11*k - 6 wrt k?
20
Suppose 22 + 7 = p. Let u = p + -25. What is the third derivative of 2 - 11*g**6 - 2 + u*g**2 + 19*g**6 wrt g?
960*g**3
Let k = -8 + 33. Find the third derivative of -k*p**2 + 1069 - 17*p**4 - 1069 wrt p.
-408*p
Let f be ((-7)/2)/((-1)/2). Find the second derivative of -2570 - 17*g - f*g**2 + 2570 wrt g.
-14
Let f(d) be the first derivative of 3*d**6 - 4*d**3/3 + 81*d**2/2 + 3*d - 64. Find the second derivative of f(j) wrt j.
360*j**3 - 8
Let j be 12 + -2 + (-1 - 3) + 8. What is the first derivative of -10 + 24 + j - 22*n**2 - 7*n**2 wrt n?
-58*n
Suppose -8*n + 5*n = -105. What is the second derivative of -37*s + 73*s - s**5 + 6*s**5 - n*s wrt s?
100*s**3
Let c = 43 + 1. What is the derivative of 44*x**2 - c*x**2 - 10*x**3 - 11 wrt x?
-30*x**2
Find the third derivative of -21*h**2 + 114*h**6 - 45*h**2 + 192*h**6 - 390*h**6 wrt h.
-10080*h**3
Let m(a) be the third derivative of -73*a**7/105 - 25*a**4/24 + 9*a**2. What is the second derivative of m(d) wrt d?
-1752*d**2
Let u be ((-8)/16)/((-3)/12). Find the first derivative of 18*k**3 + 17*k**3 - 10*k**3 + u*k**3 - 4 wrt k.
81*k**2
Let r(n) = -856*n**3 + 7*n**2 - 270*n + 7. Let q(l) = -4*l**3 + l**2 + l + 1. Let g(x) = 7*q(x) - r(x). What is the second derivative of g(k) wrt k?
4968*k
What is the first derivative of -l**2 - 20 - 182 + 47*l**3 + l**2 + 15*l**3 wrt l?
186*l**2
What is the third derivative of y**2 - 84*y - 18*y - 20*y + 12*y**4 - y**4 + 12*y**3 wrt y?
264*y + 72
Let y(s) be the second derivative of 23*s**8/56 - 7*s**6/30 + 2*s**4/3 + 4*s**2 + 289*s. Find the third derivative of y(b) wrt b.
2760*b**3 - 168*b
Suppose 2*v + 0*v = 4. What is the third derivative of -w**2 + 36*w**6 - v*w**2 - 12*w**6 wrt w?
2880*w**3
Let p be 7 + -15 + 2 - -9. Let j(h) be the first derivative of 5 - 7/3*h**3 + p*h**2 + 0*h. What is the second derivative of j(q) wrt q?
-14
Differentiate 92*y**3 - 38 + 55 + 30*y**3 - 25*y**3 with respect to y.
291*y**2
Let a(p) = p**2 - 4*p - 3. Let v be a(5). What is the third derivative of 10*y**v - 17*y**6 + 28*y**6 + 0*y**2 wrt y?
1320*y**3
Let j(c) = 15*c**4 - 31*c**2. Let f(y) = -7*y**4 + 16*y**2. Suppose 4*r - 3*r = 5. Let g(v) = r*f(v) + 3*j(v). Find the third derivative of g(a) wrt a.
240*a
Find the second derivative of 57*c**2 + 6 + 62*c**2 - 2 - 3 + 63*c wrt c.
238
Let d(u) = -7*u**3 - 6*u**2 - 18*u - 240. Let j(c) = -6*c**3 - 5*c**2 - 18*c - 241. Let m(f) = 5*d(f) - 6*j(f). Find the first derivative of m(w) wrt w.
3*w**2 + 18
Let p(k) be the third derivative of 43*k**4/6 - 157*k**3/6 - 19*k**2 - 4. Differentiate p(t) with respect to t.
172
Let a(t) = 303*t**4 + 12*t**2 + 9*t - 8. Let p(z) = -2*z**4 - 2*z**2 - z - 1. Let f(x) = a(x) + 6*p(x). What is the second derivative of f(h) wrt h?
3492*h**2
Let c(o) = -o**2 - 17*o + 35. Let w be c(-18). Find the second derivative of -9*b**3 + 4*b + 18*b**3 + w*b**3 + 12*b wrt b.
156*b
Let z = 1196 - 662. Find the third derivative of 534 - z - 48*m**6 + m**2 wrt m.
-5760*m**3
Let g = 29 + 3. What is the derivative of s**2 - g - 52*s**3 + 19*s**3 - s**2 wrt s?
-99*s**2
Let y(v) be the first derivative of -3*v**5/5 + v**4/12 + 3*v + 23. Let s(n) be the first derivative of y(n). Find the third derivative of s(g) wrt g.
-72
Let v be 60/28 + 5/(-35). Differentiate -35 + 2 + c**2 + 17*c**v wrt c.
36*c
Let i = -6 - -12. Let b(z) = 13*z + 132. Let j be b(-10). What is the third derivative of 5*g**3 + 3*g**2 + 0*g**j + 2*g**2 + i*g**2 wrt g?
30
Let b(x) = -x**4 + 1. Let d(o) = 41*o**4 - 2*o**2 - 6. Let i(j) = -10*b(j) - 2*d(j). What is the third derivative of i(k) wrt k?
-1728*k
Let v(l) be the third derivative of 7*l**6/360 - 17*l**5/120 - l**4/24 + 2*l**2. Let i(w) be the second derivative of v(w). Differentiate i(b) wrt b.
14
Suppose -24*z = -18*z - 18. What is the second derivative of -47*h**3 + 14*h + 19*h + 2*h**4 + 0*h**z - h**4 wrt h?
12*h**2 - 282*h
Let k(m) be the second derivative of 5*m**7/7 + 37*m**4/4 - 3*m - 25. What is the third derivative of k(n) wrt n?
1800*n**2
Suppose -2*f - 20 = -12*f. What is the third derivat