9*v
Let f = 18 + -26. Let i(n) = n**2 - n + 1. Let r(y) = -10*y**2 + 8*y - 8. Let d(q) = f*i(q) - r(q). Let s(v) = 6*v - 5*v + v. Determine d(s(z)).
8*z**2
Let v(g) be the first derivative of -g**2/2 + 47. Let s(r) = -57*r. Determine v(s(h)).
57*h
Let t(s) = -16*s**2. Let k(i) be the first derivative of 1/3*i**3 + 0*i**2 + 0*i - 5. Calculate k(t(l)).
256*l**4
Let v(t) = -2*t**2. Let r(c) = 240*c + 16. What is v(r(b))?
-115200*b**2 - 15360*b - 512
Let u(b) = -112 - 9*b**2 + 112. Let q(j) = -5*j. What is q(u(o))?
45*o**2
Let k(q) = q**2. Let d(m) = 72*m**2. Determine d(k(w)).
72*w**4
Let p(m) = -2*m**2. Let s(k) = k + 2. Let r = 0 - -2. Let w(q) = -5*q - 11. Let d(l) = r*w(l) + 11*s(l). Determine d(p(a)).
-2*a**2
Let v(g) = g. Let k(n) = -77*n + 77*n + n**2. Give v(k(q)).
q**2
Let b(w) = 1662*w. Let c(q) = q. Determine c(b(z)).
1662*z
Let t(o) = -511*o - 2. Let d(i) = -4*i. Determine d(t(m)).
2044*m + 8
Let s(y) = 2*y + 342. Let g(q) = -2*q. Give g(s(x)).
-4*x - 684
Let n(o) = -22*o + 3*o**2 + 22*o. Let a(d) = -4*d**2. Determine a(n(q)).
-36*q**4
Let c(t) = 10*t - 22*t + 14*t. Let u(b) = -67*b**2. Calculate c(u(h)).
-134*h**2
Let r(z) = 4*z. Let v(h) = 4*h**2 - 2*h. Let x(p) = -3*p**2 + 3*p. Let b(j) = -3*v(j) - 2*x(j). What is r(b(d))?
-24*d**2
Let t(i) = 2*i**2 + 2*i. Let b(f) = -2*f**2 - 3*f. Let n(g) = 2*b(g) + 3*t(g). Let y(k) = -2*k**2. What is n(y(z))?
8*z**4
Let w(a) be the first derivative of a**3 - 1. Suppose -10 = -2*b - 4. Let z(t) = b*t + 3*t + t - 6*t. What is w(z(x))?
3*x**2
Let o(u) = -u. Let t be o(-4). Let l(m) = 4*m - 2*m - t*m. Let k(g) = 6*g. Let a(f) = -f. Let v(c) = 33*a(c) + 6*k(c). Give l(v(i)).
-6*i
Let x(i) = i**2. Let t(j) = -179 + 21*j + 179. Determine t(x(v)).
21*v**2
Suppose -4*g + 27 + 65 = 0. Let x(a) = 3*a - g + 23. Let i(y) = -5*y. Give i(x(v)).
-15*v
Let t(a) = -a**2. Let j(d) = -26*d. Let x(o) = 9*o. Let n(q) = 4*j(q) + 13*x(q). What is t(n(w))?
-169*w**2
Suppose 4*b + 7 = 5*b - x, 2 = -4*b - 2*x. Let g(r) = -r**2 - 2*r + b*r. Let q(n) = 5*n. Give g(q(t)).
-25*t**2
Let c(l) = -56*l + 8. Let i(u) = -19*u + 3. Let m(n) = 3*c(n) - 8*i(n). Let o(k) = k. What is m(o(z))?
-16*z
Let u(i) = 2*i**2. Let b(v) = -564*v - 1. Give u(b(g)).
636192*g**2 + 2256*g + 2
Let s = -29 - -61/2. Let f(n) be the first derivative of -s*n**2 + 0*n - 2. Let o(d) = 2*d**2. What is f(o(g))?
-6*g**2
Let b(p) = p**2 - 185. Let r(m) = -5*m**2. Calculate r(b(a)).
-5*a**4 + 1850*a**2 - 171125
Let w(s) = 4*s**2 - s - 1. Let o be w(-1). Let r(v) = o*v + 3 + 2 - 5. Let g(u) = -u + u + 2*u**2. Determine r(g(d)).
8*d**2
Let o(a) = 9*a. Let c(j) = -2*j. Give c(o(m)).
-18*m
Let r(h) = 74 + 15*h - 37 - 37. Let j(o) = 2*o**2. Determine r(j(f)).
30*f**2
Let a(f) = 2*f**2. Suppose -5*o = 5*n - 25, o - 3*o = -3*n - 35. Let x(g) = o*g - 541 + 541. Determine x(a(i)).
20*i**2
Let z(u) = 41*u**2 - 12*u**2 - 11*u**2 - 11*u**2. Let n(t) = 4*t. Determine z(n(c)).
112*c**2
Let n(r) = 8171*r + 1. Let f(g) = -2*g. Determine f(n(y)).
-16342*y - 2
Let m(w) = 3*w**2. Let c(g) = -6*g + 1. Let t(q) = q + 1. Let l(j) = -2*c(j) + 2*t(j). Determine l(m(p)).
42*p**2
Let p(q) be the first derivative of -q**4/24 + 3*q**2/2 + 3. Let c(d) be the second derivative of p(d). Let k(j) = -3*j. Calculate k(c(l)).
3*l
Let s(u) = 2*u. Let x(q) = -1216*q**2. Calculate x(s(a)).
-4864*a**2
Let b(k) = -k - 5. Let h(y) = -1. Let f(g) = -b(g) + 5*h(g). Let r(o) = -o**2. What is f(r(v))?
-v**2
Let m(v) = -v. Let u(i) be the second derivative of -i**6/144 - i**4/12 + 2*i. Let w(y) be the third derivative of u(y). Give w(m(q)).
5*q
Let z(k) be the second derivative of k**3/6 - 23*k - 2. Let w(f) = -80*f**2 - 1. Determine z(w(a)).
-80*a**2 - 1
Let c(n) be the first derivative of 2*n**3/3 + 1. Let h(z) be the second derivative of -z**4/3 - 19*z. Give h(c(w)).
-16*w**4
Let m(b) = b. Let r(z) = -18*z. Let q(n) = -7*n. Let f(p) = 12*q(p) - 5*r(p). What is m(f(l))?
6*l
Let w(c) = -5*c - 5*c - 15*c. Let f(y) = y. Calculate f(w(r)).
-25*r
Let g(w) = -w**3 + w**2 - 1. Let a be g(-1). Let j = a + 2. Let m(r) = 3 + 2*r - j. Let s(q) = -2*q**2. Give m(s(z)).
-4*z**2
Let x(q) be the first derivative of -10*q**3/3 + 16. Let w(v) = 2*v. What is x(w(y))?
-40*y**2
Let d(b) = 9 + b - 9. Let y(l) = 3*l + 2*l - 5*l + 2*l**2. Determine y(d(h)).
2*h**2
Let n(r) be the second derivative of -r**5/60 - r**3/3 - r. Let s(u) be the second derivative of n(u). Let y(a) = 10*a - 3*a - a - 3*a. What is s(y(o))?
-6*o
Let o(j) = -6*j**2. Let f(b) = 715*b**2. Calculate o(f(m)).
-3067350*m**4
Let w(n) = 5*n - 3. Let r(b) = 26*b - 16. Let f(j) = -3*r(j) + 16*w(j). Let o(s) be the third derivative of -s**4/12 - 3*s**2. What is o(f(m))?
-4*m
Let z(t) = -5*t. Let c(s) be the third derivative of s**4/4 + 3*s**2. Calculate c(z(m)).
-30*m
Let a(x) = 3*x - 7. Let t be a(3). Let p(l) = -3*l + t*l + 2*l**2 + l. Let i(r) = -3*r**2. Calculate p(i(c)).
18*c**4
Let u(b) = -4*b. Let z(o) = 41 - 41 + o. What is z(u(s))?
-4*s
Let h be ((-10)/(-4))/(4/8). Let s(p) = -16*p + 4*p + h*p + 4*p. Let n(a) be the second derivative of a**3/6 + a. Calculate n(s(q)).
-3*q
Let l(g) = 659*g. Let s(f) = 3*f. What is s(l(u))?
1977*u
Let x(q) = 681*q + 2. Let z(r) = -r. Give z(x(d)).
-681*d - 2
Let q(z) = -6*z - 3. Let a(u) = 7*u + 4. Let v(o) = 3*a(o) + 4*q(o). Let h(n) be the second derivative of 0*n**2 - 2*n + 0 - 1/6*n**3. Calculate h(v(d)).
3*d
Let m(h) = -2*h**2. Let s(w) = -317*w. What is s(m(t))?
634*t**2
Let p(u) be the third derivative of 1/24*u**4 + 0*u**3 + 0 + 0*u - 3*u**2. Let h(a) = -a. Determine h(p(x)).
-x
Let a(i) = 81*i - 10. Let y(j) = 2*j**2. Determine y(a(u)).
13122*u**2 - 3240*u + 200
Let s(c) be the second derivative of 5*c**4/4 - 7*c. Let r(a) = -a. Determine r(s(x)).
-15*x**2
Let v(m) = 7*m. Let b(z) = 20*z**2 + 9. Let c(q) = -7*q**2 - 3. Let d(p) = -6*b(p) - 17*c(p). Let n(h) be the first derivative of d(h). Give n(v(o)).
-14*o
Let i(m) = -3*m**2. Let k(v) be the third derivative of v**4/8 + 7*v**2. Give i(k(u)).
-27*u**2
Let x(f) = -8*f**2. Let r(h) = -h - 10. Let l be r(-10). Let n(b) = b + 0 - 3*b + l. Determine x(n(p)).
-32*p**2
Let t(i) = 2*i. Let p(y) = -1. Let c(w) = 13*w + 13. Let v(m) = 6*m + 6. Let d(r) = -2*c(r) + 5*v(r). Let b(j) = 4*d(j) + 16*p(j). Determine t(b(h)).
32*h
Let n(z) = -3*z**2. Let r(k) be the first derivative of -2 + 0*k**2 + 0*k + 1/3*k**3. What is n(r(t))?
-3*t**4
Let t(y) = 2*y**2. Let b(f) = -25*f. Calculate t(b(w)).
1250*w**2
Let f(u) = 16*u**2 + 6*u**2 - 25*u**2. Let n(v) be the second derivative of v**4/3 - 5*v. Determine n(f(z)).
36*z**4
Let x(a) = 3*a**2 + a - a. Let z(l) = -5*l + 9. Let m be z(-8). Let d(h) = -m*h + 2 - 2 + 50*h. Give x(d(f)).
3*f**2
Let i(n) = 3*n. Let w(c) be the third derivative of -c**4/3 + c**2. Let r(y) = 15*y. Suppose 5*v - 14 = 16. Let a(m) = v*r(m) + 11*w(m). Calculate i(a(b)).
6*b
Let d(h) be the first derivative of h**3/3 - 2. Let f(l) be the second derivative of -l**4/4 + 2*l. Give f(d(u)).
-3*u**4
Let k(r) = 3*r**2 - 2 + 1 + 1. Let l(u) = -1 + u - 2 + 3. Determine l(k(f)).
3*f**2
Let f(k) = 125*k. Let o(r) = 2*r**2. What is f(o(s))?
250*s**2
Let l(s) be the first derivative of s**6/180 + s**3/3 - 2. Let m(u) be the third derivative of l(u). Let v(g) = g**2 - 10*g + 10*g - 3*g**2. Determine m(v(h)).
8*h**4
Let q(h) = -10*h. Let k(s) = 16*s - 2. Give k(q(y)).
-160*y - 2
Let x(o) = -o. Let t be -3 + ((-14)/(-2) - -3). Let y(p) = -5*p - 3*p + t*p. Determine y(x(m)).
m
Let r(a) = -a**2. Let h(v) = 2*v**2 + 285*v. Calculate h(r(w)).
2*w**4 - 285*w**2
Let w(f) be the first derivative of 4*f**3/3 + 10. Let t(b) = 2*b**2. Give t(w(o)).
32*o**4
Let k(n) = 5*n. Let r = 14 + -10. Let p(f) = -3*f - 4. Let o(b) = -b - 1. Let t(w) = r*o(w) - p(w). Calculate t(k(d)).
-5*d
Let y(f) be the third derivative of -f**4/8 - 31*f**2. Let t(c) = -2*c**2 - 4. Let a(i) = -3*i**2 - 5. Let n(x) = -4*a(x) + 5*t(x). Calculate y(n(s)).
-6*s**2
Let o(y) = 98*y. Let j(z) = -13*z. Calculate o(j(k)).
-1274*k
Let f(y) = 4*y**2. Suppose -2*a - 23 = -6*a - 3*c, c - 5 = 0. Let x(p) = -8*p**a + p**2 + 3*p**2 + 6*p**2. What is f(x(t))?
16*t**4
Let j(w) = 10*w**2. Let n(m) = -4*m - 7. Give j(n(k)).
160*k**2 + 560*k + 490
Let o(a) = 2*a. Let f(r) be the third derivative of r**4/8 - 5*r**2. What is f(o(y))?