t r(g) be the second derivative of 5/6*g**3 - 4*g + 0 + 0*g**2. Determine f(r(x)).
10*x
Let a = 5 - 3. Let s(f) = -14*f**2 + 1 + 21*f**a - 1. Let i(r) = -2*r**2. What is s(i(l))?
28*l**4
Let r(h) = -2*h**2. Suppose 5*z = -z. Let l(x) be the third derivative of z*x + 1/12*x**4 + x**2 + 0*x**3 + 0. Determine r(l(j)).
-8*j**2
Let c(w) = 103*w**2 - 2. Let y(n) = -12*n. What is c(y(v))?
14832*v**2 - 2
Let n(s) = 2*s**2 - 3. Let a(x) = -x**2 + 1. Let b = 4 - 3. Let h(l) = b*n(l) + 3*a(l). Let p(t) = 3*t. Give h(p(i)).
-9*i**2
Let v(l) be the second derivative of 2*l**3/3 + l. Let q(i) = i**2 - i + 1. Let z(n) = -5*n - 2 + 4*n**2 - 9 + 16. Let d(o) = -5*q(o) + z(o). Calculate d(v(u)).
-16*u**2
Let o(b) = 34*b**2. Let c(a) = -a. Give c(o(i)).
-34*i**2
Suppose 3*h + 5*f = 24, 0*f = -3*h - 2*f + 15. Suppose 0 = b - d - 5, h*b = 4*b - 2*d - 7. Let a(n) = -b*n + 0*n - 3*n + 4*n. Let v(m) = -6*m**2. Give a(v(i)).
12*i**2
Let q(x) = -3*x. Let a(n) = 2*n. Let h be a(1). Suppose -h*f = 2*z + z - 13, 3*f = 2*z. Let l(j) = 0*j**2 - f*j**2 + 0*j**2. Give q(l(g)).
6*g**2
Let t(b) = -b + 7. Let n(o) = -o + 6. Let f(l) = 7*n(l) - 6*t(l). Let x(v) = 2*v**2 - v**2 + 0*v**2 + v**2. Calculate f(x(z)).
-2*z**2
Let v(f) = f**2 - 13. Let x(w) = 23*w**2. Determine x(v(o)).
23*o**4 - 598*o**2 + 3887
Let f(d) be the second derivative of d**3/6 - d**2/2 + 2*d. Let s(h) = -h + 3. Let p(c) = 6*f(c) + 2*s(c). Let i(j) = 2*j**2. What is p(i(b))?
8*b**2
Suppose 2 + 4 = 3*t. Let z(v) = t*v**2 - 3 + 3. Let d(f) = -5*f + 3. Let b(s) = -4*s + 2. Let r(p) = -3*b(p) + 2*d(p). Give r(z(h)).
4*h**2
Let n(k) = k. Let c(f) be the first derivative of 5*f**3/6 - 4*f + 4. Let i(w) be the first derivative of c(w). Determine n(i(m)).
5*m
Let b(w) = 13*w + 7. Let o(h) = 4*h**2. Calculate o(b(s)).
676*s**2 + 728*s + 196
Let y(f) = 2*f - 4. Let g(s) be the third derivative of -5*s**4/24 + 11*s**3/6 - 3*s**2. Let l(p) = 4*g(p) + 11*y(p). Let w(r) = r**2. What is w(l(c))?
4*c**2
Let f(v) = 14*v + 4*v + 12*v - 40*v + 12*v. Let c(s) be the third derivative of -s**5/30 - s**2. Calculate f(c(q)).
-4*q**2
Let l(p) be the second derivative of -p**6/720 + 2*p**4/3 + 5*p. Let r(h) be the third derivative of l(h). Let w(n) = 0*n**2 + 6*n**2 - 3*n**2. What is r(w(c))?
-3*c**2
Suppose -m - 10 = -6*m. Let i(a) = -a - a**m + a. Let t(y) = 5*y - y - 4*y - 3*y. Give i(t(q)).
-9*q**2
Let a(j) = 33*j - 21. Let p(s) = -8*s + 5. Let m(d) = 5*a(d) + 21*p(d). Let b(n) = 4*n**2. Give m(b(r)).
-12*r**2
Let d(g) = 4*g**2. Let t(k) = -20*k**2. What is t(d(i))?
-320*i**4
Let j(o) = 25*o**2. Let g(p) = -7 - p**2 - p**2 + 7. What is g(j(v))?
-1250*v**4
Let z(o) = 5*o**2 - 9. Let v(b) = -2*b**2 - 1215 + 1215. What is v(z(a))?
-50*a**4 + 180*a**2 - 162
Let l(b) = -b**2 - 8*b. Let a(o) = 2*o**2. Calculate a(l(n)).
2*n**4 + 32*n**3 + 128*n**2
Let o(u) = 31*u**2 + 42*u. Let b(x) = 2*x. Give o(b(f)).
124*f**2 + 84*f
Let r(g) = 7431*g**2. Let i(y) = y**2. What is r(i(a))?
7431*a**4
Let l(y) = 2*y**2. Suppose -3*w - 6 = -5*w. Let p = 10 - w. Let x(f) = -p + 7 - 2*f + 4*f. What is l(x(g))?
8*g**2
Let k(t) = 19*t - 11. Let p(g) = 2*g**2. Determine k(p(y)).
38*y**2 - 11
Let p(s) = -s. Let x(z) = -3*z**2 - 19*z**2 - 7*z + 7*z. Determine p(x(h)).
22*h**2
Let y(o) = -3*o. Let i(d) be the third derivative of -1/12*d**4 + 0 + 0*d + 4*d**2 + 0*d**3. Determine y(i(t)).
6*t
Let f(c) = 2*c - c - 4*c. Let a(i) be the third derivative of i**4/24 + i**2. What is a(f(y))?
-3*y
Let x(w) = -3*w**2. Let a(l) = 3*l**2 + 7. Determine x(a(n)).
-27*n**4 - 126*n**2 - 147
Let m(l) be the second derivative of l**4/12 + 18*l. Let t(f) = -24*f**2. Determine t(m(x)).
-24*x**4
Let l(w) be the third derivative of -w**7/2520 - w**5/20 + 3*w**2. Let c(b) be the third derivative of l(b). Let x(z) = -z**2. What is x(c(q))?
-4*q**2
Let o(l) = -51*l**2. Let h(r) = 5*r. Give h(o(p)).
-255*p**2
Let p(g) = -3*g**2. Let h(r) be the third derivative of -11*r**4/12 - r**2 + 37*r. Determine h(p(q)).
66*q**2
Let t(s) be the first derivative of s**2 + 3. Let i(m) be the first derivative of -1 + 5*m**2 - 3*m**2 + 2. What is i(t(o))?
8*o
Let h(p) = p. Let n(s) be the second derivative of 17*s**3/6 + 3*s**2/2 - 20*s. Give n(h(a)).
17*a + 3
Let s(a) = -3*a**2. Let c(n) = -5*n - 7 - 3 + 1. Let x = 5 - 3. Let r(g) = g + 2. Let v(z) = x*c(z) + 9*r(z). Calculate v(s(u)).
3*u**2
Let u(t) = -2*t**2. Let h(b) = 75*b. Determine u(h(x)).
-11250*x**2
Let b(i) = 13*i - 12. Let g(y) = 7*y**2. What is b(g(k))?
91*k**2 - 12
Let v(z) = -8*z. Let y(j) be the third derivative of j**4/24 + 9*j**2. Calculate y(v(i)).
-8*i
Let y(k) be the third derivative of k**5/60 + 16*k**2. Let p(h) = -47*h**2. What is p(y(q))?
-47*q**4
Let t(v) = 15*v. Let g(d) = 9*d + 6. Let f(x) = 8*x + 5. Let c(y) = -6*f(y) + 5*g(y). Give t(c(p)).
-45*p
Let z(c) = 6*c. Let y(q) = -15*q. Let o(j) = 5*y(j) + 12*z(j). Let b(r) be the first derivative of 0*r + 0*r**2 + 3 - 2/3*r**3. Calculate b(o(h)).
-18*h**2
Let l(t) = -t - 52. Let j(s) = 7*s. Determine j(l(h)).
-7*h - 364
Let y(z) = -2*z. Let i = -15 + 15. Suppose -5*w = -0*w. Let v(f) = w - 2*f + i + 0. Determine v(y(a)).
4*a
Let h(o) = 13*o. Let n(r) be the third derivative of -5*r**2 + 0 + 1/60*r**5 + 0*r**3 + 0*r**4 + 0*r. Determine n(h(k)).
169*k**2
Let c(x) be the first derivative of x**6/360 + x**3/3 - 3. Let z(l) be the third derivative of c(l). Let p(v) = v**2. Determine p(z(f)).
f**4
Let y(r) be the third derivative of r**5/30 - 14*r**2. Let a(k) = -6*k + 0*k + 0*k. What is y(a(f))?
72*f**2
Let r(o) = 15*o + 6. Let b(y) = -12*y - 5. Let j(m) = -6*b(m) - 5*r(m). Let p(g) = 9*g - 11. Let s(f) = -5*f + 6. Let x(d) = 6*p(d) + 11*s(d). Give x(j(w)).
3*w
Let z(m) = -4*m**2. Let r(o) = 11*o**2 - 10*o**2 - 4*o**2. Determine r(z(l)).
-48*l**4
Let h(j) = 771*j. Let v(w) = w. Give h(v(b)).
771*b
Let d(x) = x**2. Let q(c) = 147*c - 2. Determine q(d(t)).
147*t**2 - 2
Let p(u) = 9*u**2 + 4. Let a(x) = x**2. What is p(a(d))?
9*d**4 + 4
Let h(w) be the first derivative of 5*w**3/3 + 19. Let n(f) = -f**2. What is n(h(x))?
-25*x**4
Let d(h) be the second derivative of -h**3/6 + 3*h. Let l(y) = 6*y**2 + 7*y + 7. Let t(b) = 2*b**2 + 2*b + 2. Let v(f) = -2*l(f) + 7*t(f). Determine v(d(o)).
2*o**2
Let o(p) = -4*p. Let b(a) = 65*a**2 - 25*a - 25. Let i(g) = 8*g**2 - 3*g - 3. Let f(x) = 3*b(x) - 25*i(x). Calculate f(o(s)).
-80*s**2
Let i(y) = -7*y - 6. Let c(p) = 6*p + 5. Let v(k) = 6*c(k) + 5*i(k). Let n(d) = 118 + 4*d - 118. Give n(v(a)).
4*a
Let x(m) = 9*m. Let u(b) = 2*b**2 + 20. Calculate u(x(d)).
162*d**2 + 20
Let b(s) = -65*s. Let n(r) = -11*r. Let j(k) = 2*b(k) - 13*n(k). Let o(z) = -27*z. Let w(p) = 7*j(p) + 3*o(p). Let m(q) = 2*q**2. Give w(m(x)).
20*x**2
Let u be 9 - (2/(-1) - -5). Let x(v) = 11*v - 10*v - u*v. Let s(o) = 2*o**2. Determine x(s(i)).
-10*i**2
Let z(r) = -r. Let c(o) = 7*o**2 - 14. Give z(c(k)).
-7*k**2 + 14
Let l(u) = 2*u + u - u. Let n(w) = w**2 + 2*w + 2. Let b(o) = -o**2 + o + 1. Let a(s) = 2*b(s) - n(s). Give a(l(k)).
-12*k**2
Let m(z) = z**2. Let b(n) = 476*n. Give b(m(l)).
476*l**2
Let l(v) = 3*v**2. Let q = 8 - -7. Let t = 23 - q. Let s(f) = 4*f + 5. Let x(b) = -6*b - 8. Let h(j) = t*s(j) + 5*x(j). What is l(h(n))?
12*n**2
Let k(r) = -r + 14. Let j be k(11). Let l(m) = -2*m - j + 3. Let o(d) = -7*d. What is l(o(p))?
14*p
Let o(h) = 12*h. Let t(b) = 7*b - 3. Give o(t(m)).
84*m - 36
Let r(q) = 8*q. Let l(k) = 1798*k**2. Calculate l(r(n)).
115072*n**2
Let m(k) = -13*k**2. Let v(g) = -65*g**2. Calculate v(m(j)).
-10985*j**4
Let d(r) be the second derivative of r**3/6 + 2*r. Let m(y) = 51*y - 42. Let n(u) = 5*u - 4. Let x(b) = -6*m(b) + 63*n(b). Determine x(d(g)).
9*g
Let u(v) = -10*v + 34. Let a(m) = 5*m. Calculate a(u(w)).
-50*w + 170
Let c(q) = q**2. Let m(w) = 89*w - 5. Calculate c(m(a)).
7921*a**2 - 890*a + 25
Let b(v) = -4502*v. Let c(q) = 3*q**2. What is b(c(k))?
-13506*k**2
Let c(y) be the second derivative of -2*y**3/3 - 6*y. Let f(n) = -2*n**2. Calculate c(f(l)).
8*l**2
Let t(m) = 179*m**2 - 2*m. Let p(d) = d**2. Determine t(p(b)).
179*b**4 - 2*b**2
Suppose 7*v = 2*v + 2*m, -m = 5*v - 15. Let r(o) = o**2 - 11*o**v - 12*o**2. Let d(p) = 2*p. What is d(r(s))?
-44*s**2
Let s(x) = -x**2. Let v(p) = 4*p**2. Let m(j) = 3*s(j) + v(j). Let u(k) = -2*k + 3*k + 3