Let t(q) be the first derivative of q**5/120 + q**3 + 1. Let j(n) be the third derivative of t(n). What is j(g(x))?
-2*x**2
Let f(y) be the third derivative of y**4/12 + 27*y**2. Let g(j) = -2*j - 16. Determine f(g(n)).
-4*n - 32
Let w(n) = 2*n**2. Let h(v) = -v - 7*v + 10*v - v. What is w(h(r))?
2*r**2
Let y(q) = -3*q**2. Let l(m) = -3093*m. What is y(l(t))?
-28699947*t**2
Let h(u) = -1220*u - 1. Let f(y) = -2*y**2. Calculate h(f(t)).
2440*t**2 - 1
Let o(l) = 2*l. Let g(v) = -4830*v - 1. Determine o(g(q)).
-9660*q - 2
Let y(c) be the second derivative of -c**3/3 - 4*c. Let b(x) = -43*x. Determine b(y(l)).
86*l
Let c(h) = 2*h + 0*h - 2*h + 2*h. Let k(q) = -29*q. What is c(k(m))?
-58*m
Let u(q) = -2*q**2. Let z(b) = -2*b + 3. Let c(j) = -6*j + 10. Suppose -4*s + 25 = -5*s. Let n = -15 - s. Let a(m) = n*z(m) - 3*c(m). Give u(a(f)).
-8*f**2
Let z(j) = 13*j**2. Let x(i) = -i - 1368 + 1368 + 2*i. Give x(z(v)).
13*v**2
Let q(x) be the third derivative of -17*x**6/360 - 5*x**3/6 - 4*x**2. Let d(r) be the first derivative of q(r). Let y(b) = 2*b. What is y(d(j))?
-34*j**2
Let x(z) = -z**2. Let a(f) = 6*f**2 - 5*f. Give x(a(k)).
-36*k**4 + 60*k**3 - 25*k**2
Let c(z) = -z**2. Let d(l) = -l + 8. Let m be d(6). Let i = -16 + 27. Let a(y) = m*y - 11 + i. Give a(c(b)).
-2*b**2
Let n(h) = -3*h + 5. Let r(m) = -2*m + 6. Let c(f) = -6*n(f) + 5*r(f). Let l(s) be the third derivative of -s**5/30 + 21*s**2. What is l(c(o))?
-128*o**2
Let l(r) = 3*r**2 + 0*r + 0*r. Let t(a) be the first derivative of -1/2*a**2 - 4 + 0*a. What is t(l(y))?
-3*y**2
Let i(q) = 3*q**2 - 1. Let o(l) = 23*l. What is o(i(v))?
69*v**2 - 23
Let s(c) = 2*c**2. Let m(b) = 140*b - 126. Let k(x) = -x + 1. Let w(t) = -252*k(t) - 2*m(t). Calculate w(s(o)).
-56*o**2
Let c(w) = -15*w. Let z(n) = 2*n. Let t(v) = c(v) - 2*z(v). Let k(i) = 4*i. Give t(k(j)).
-76*j
Let d(w) = -w. Let g(b) = -2*b**2 - b**2 + 4*b**2. Give d(g(n)).
-n**2
Let g(u) = -680*u**2. Let m(n) = 6*n. Determine g(m(f)).
-24480*f**2
Let x(z) = 2*z. Let s(u) = -2*u**2 - 6*u. Let y(q) = q. Let b(o) = s(o) + 6*y(o). Determine x(b(g)).
-4*g**2
Let h(m) = -7*m. Let k(a) be the third derivative of a**7/5040 + 2*a**5/15 + 6*a**2. Let c(x) be the third derivative of k(x). Calculate c(h(o)).
-7*o
Let o(h) = 18*h**2. Let t(g) be the third derivative of g**5/30 + g**2. What is o(t(f))?
72*f**4
Let w(q) = -3*q. Suppose -o + 3*o = 6. Let t(k) = -6*k + 3*k - o*k**2 + 3*k. Determine t(w(y)).
-27*y**2
Let m(r) = -2*r**2. Let y(b) = -31*b + 7*b + 13*b + 10*b. Give m(y(x)).
-2*x**2
Let k(a) be the second derivative of 0 + 0*a**2 + 5*a - 1/3*a**3. Let j(y) = y**2 - 3. Let m(n) = -3*n**2 + 5. Let v(l) = -5*j(l) - 3*m(l). Calculate k(v(u)).
-8*u**2
Let m(b) = -3*b**2. Let y = -6 + 11. Let s(t) = -3*t + 2*t - y*t + 3*t. Determine m(s(v)).
-27*v**2
Let b(z) = z. Let i(m) be the second derivative of -5*m**3/6 - 6*m. Calculate b(i(c)).
-5*c
Let g(p) be the second derivative of p**4/24 - p**2/2 + 2*p. Let a(i) be the first derivative of g(i). Let k(x) = -2*x**2 + 2*x - 2*x. Determine k(a(q)).
-2*q**2
Let q(j) = -2*j - 5. Let y(z) = 3. Let v(d) = -1. Let x(a) = 2*v(a) + y(a). Let c(b) = -q(b) - 5*x(b). Let r(s) = 880 - 880 - 2*s. Calculate r(c(i)).
-4*i
Let f(r) = -9*r. Let w(y) = -429*y. Determine w(f(n)).
3861*n
Let t(x) be the third derivative of -x**4/12 + 2*x**2 + 2. Let q(f) = 42*f. Give q(t(y)).
-84*y
Let a(d) = -25*d + 56*d - 32*d. Let c(q) = -q. What is a(c(o))?
o
Let a(t) = -10*t. Let n(k) = 8*k**2. What is a(n(z))?
-80*z**2
Let i(f) = -11*f**3 - f - 1. Let n be i(-1). Let u(b) = -b**2 + 11 - n. Let v(w) = w**2. Determine v(u(j)).
j**4
Let v(d) = d**2. Let c(w) = -w**2 + 12*w - 14. Let u be 2/5*(2 - -23). Let a be c(u). Let k(t) = 2*t**2 - a*t**2 + t**2. Calculate k(v(b)).
-3*b**4
Let f(y) be the second derivative of -y**5/30 - y**2/2 + 9*y. Let w(v) be the first derivative of f(v). Let k(a) = 4*a**2. Calculate w(k(i)).
-32*i**4
Let w(g) = 2*g**2 + g. Let d be w(-1). Suppose d = 4*m - 3. Let o(n) = -n - m + 2 - 1. Let r(a) = 4*a. Determine o(r(b)).
-4*b
Let j(g) = 17 - 17 - 3*g**2 - 3*g**2. Let q(y) = y**2. Give j(q(s)).
-6*s**4
Let h(m) = 45*m + 3. Let g(j) = -2*j**2. Give h(g(p)).
-90*p**2 + 3
Let r(y) = 2*y. Let f(v) = 9*v**2 - 10*v**2 - 8*v**2. What is f(r(b))?
-36*b**2
Let u(y) = 2*y**2. Let f(w) = 6*w**2 - w. What is u(f(b))?
72*b**4 - 24*b**3 + 2*b**2
Let v(p) = 2*p**2 - 271. Let h(w) = 41*w + 2. Give h(v(g)).
82*g**2 - 11109
Let q(k) = k**2. Let v(h) be the second derivative of -h**3 - 16*h. Determine q(v(f)).
36*f**2
Let v(z) = 9*z. Let l(a) = 9*a**2. Give l(v(f)).
729*f**2
Let m(z) = 5*z**2 - 11*z**2 + 2*z**2. Let c(q) = -q. Determine c(m(x)).
4*x**2
Let x(o) = o. Let c(i) be the first derivative of -i**4/12 + 3*i**2/2 - 10. Let g(y) be the second derivative of c(y). Calculate x(g(b)).
-2*b
Let r(d) be the second derivative of d**4/12 + 6*d + 4. Let i(l) = l**2 - l**2 + l**2. What is r(i(o))?
o**4
Let i(c) be the third derivative of c**6/120 + 2*c**3/3 + 5*c**2. Let n(p) be the first derivative of i(p). Let w(q) = 3*q - 2*q + q. What is w(n(a))?
6*a**2
Let x = -12 + 17. Let k(m) = -m - 1. Let q(w) = -4*w - 5. Let b(u) = x*k(u) - q(u). Let t(n) = 4*n**2. What is b(t(v))?
-4*v**2
Let l(u) = 2035*u**2. Let w(o) = 2*o. What is l(w(m))?
8140*m**2
Let o(i) be the first derivative of -i**2 + 15. Let y(g) = 2*g + 4*g**2 - 2*g. Determine y(o(d)).
16*d**2
Let k(m) = 6*m. Let o(x) = -3*x - 2. Give o(k(g)).
-18*g - 2
Let k(b) = 2*b + 11. Let t(l) = l + 6. Let y(n) = 6*k(n) - 11*t(n). Let f(u) = 5*u - 3*u - 2 + 2. What is f(y(x))?
2*x
Let t(s) = -5*s. Let x(f) be the first derivative of -9*f**2/2 + 32. Give x(t(n)).
45*n
Let t(i) = -i. Let o = -10 - -12. Let k(u) be the first derivative of 1 + 1/2*u**o + 0*u. Give t(k(c)).
-c
Let j(t) = -54*t**2. Let a(u) = 11*u**2. Let k(v) = 28*a(v) + 6*j(v). Let y(f) = 2*f**2. Determine k(y(c)).
-64*c**4
Let k(w) = 80*w**2. Let u(r) = r. What is u(k(t))?
80*t**2
Let h(c) = -2*c + 14. Let s(v) = 10*v. What is s(h(a))?
-20*a + 140
Let h(s) = 2*s. Let y(o) = -366*o**2 + 41. Calculate y(h(m)).
-1464*m**2 + 41
Let u(g) be the first derivative of -17*g**3/3 + 10. Let a(h) = 3*h. Give u(a(t)).
-153*t**2
Let d(b) = b. Suppose 0 = -2*a + 4, 3*r + 6 = -3*a + 6*a. Let j(n) be the first derivative of r*n**2 - 2/3*n**3 + 0*n + 3. Calculate d(j(w)).
-2*w**2
Let j(w) = 3*w**2. Let o(i) = 4*i**2 + 12. Give o(j(g)).
36*g**4 + 12
Let w(j) be the second derivative of j**4/12 - 16*j. Let p(h) = 19*h. What is w(p(g))?
361*g**2
Let y(t) = 3*t. Let g = 6 - 5. Let i = g + 1. Let c(v) = 11 - 11 + v**i. Calculate y(c(q)).
3*q**2
Let c(z) be the first derivative of -z**2 + 3. Let j(a) = 2 - 4 + 4*a**2 + 2. Calculate c(j(h)).
-8*h**2
Let k(v) = 4*v**2. Let c(x) = x**2 + x**2 - 3*x**2 + 4*x**2. Determine k(c(r)).
36*r**4
Let g(a) = 3*a. Let z(y) = 1. Let r(j) = -j + 6. Let h(x) = -r(x) + 6*z(x). Give g(h(w)).
3*w
Let r(j) = -j**2. Let d(q) = -2*q**2. Let t(f) = 3*d(f) - 8*r(f). Let k(g) = -8*g. Let x(y) = -4*y. Let v(w) = -3*k(w) + 5*x(w). Give v(t(n)).
8*n**2
Let o(m) = m**2 - 26*m - 84. Let c(p) = -2*p**2. Give o(c(f)).
4*f**4 + 52*f**2 - 84
Let c(y) = 2*y. Let b(s) = 154*s**2 + 156*s**2 + 128*s**2 - 403*s**2. Give b(c(t)).
140*t**2
Let l(c) = -2*c**2. Let p(q) be the second derivative of -1/6*q**3 + 0*q**2 + 0 - 7*q. Calculate l(p(j)).
-2*j**2
Let a(h) = h**2 + 3*h + 2. Let u be a(-3). Let p(f) = 3*f**2 - 5*f**2 - 2*f**u. Let w(d) be the first derivative of d**2/2 - 9. Determine p(w(k)).
-4*k**2
Let l(p) = p. Let d(s) = -7*s**2 - 26 + 26. Calculate l(d(v)).
-7*v**2
Let g(u) be the first derivative of -4*u**3/3 - 34. Let m(t) = -t**2 - 7*t - 5. Let n be m(-5). Let d(w) = 3*w + 4*w - n*w. Give d(g(z)).
-8*z**2
Let z(x) = 19*x - 3*x - 12*x. Let u(b) = -5*b. Calculate z(u(o)).
-20*o
Let m(w) = -4*w. Let c(y) = -3469*y**2. Calculate m(c(v)).
13876*v**2
Let y(o) = -2*o**2. Let f(r) be the first derivative of -10*r**2 + 9. What is f(y(c))?
40*c**2
Let j(w) = 2*w**2 + 5*w + 5. Let m(h) = 9*h**2 + 24*h + 24. Let r = 14 - -2. Suppose -r - 9 = -5*c. Let i(a) = c*m(a) - 24*j(a). Let d(n) = -n. What is d(i(l))?
3*l**2
Let p(s) = 100*s + 28. Let d(l) = -11*l - 3. Let v(g) = 28*d(g) + 3*p(g). Let y(k) = -3*k**2. What is y(v(m))?
-192*m**2
Let r(g) = 4