- 4*r, -5*h + 4*r = -0*r. Let w(a) = h*a + 6*a + 2*a. Let z(y) be the first derivative of y**2 + 4. Determine z(w(t)).
16*t
Let v(j) be the first derivative of -2*j**3/3 - 25. Suppose 3*t = -0*t. Let o(s) = -s**2 + 0*s + t*s. Determine o(v(d)).
-4*d**4
Let h(z) = 8*z**2. Let k(w) = 1. Let g(c) be the third derivative of -c**4/24 + c**3/2 + 2*c**2. Let m(l) = -g(l) + 3*k(l). What is h(m(f))?
8*f**2
Let j(h) be the third derivative of h**4/24 + 10*h**2. Let p(w) = 2*w. Let x(o) = -2*o. Let z(n) = 3*p(n) + 4*x(n). What is z(j(f))?
-2*f
Let t(m) be the first derivative of m**3 + 44. Let b(a) = 33*a**2. Determine t(b(w)).
3267*w**4
Let o(k) = k. Let t(i) = 2*i**2 - 26*i. Give t(o(v)).
2*v**2 - 26*v
Let o(w) = 2*w**2 + 5*w - 5. Let s(t) = t**2 + 3*t - 3. Let l(f) = -3*o(f) + 5*s(f). Let d(u) = -3*u**2. What is l(d(x))?
-9*x**4
Let q(v) = 4*v - 7. Let d(l) = -2*l + 4. Let a(b) = -7*d(b) - 4*q(b). Let u(s) = 18*s**2. What is u(a(h))?
72*h**2
Let n(d) = -2*d**2. Let y(h) = -10*h + 1. Calculate y(n(a)).
20*a**2 + 1
Let m(y) = -y. Let q(f) = f**2 + 59*f. Determine q(m(i)).
i**2 - 59*i
Suppose 5*q + 6 - 1 = 0. Let x = 1 - q. Let p(y) = x - y - 2 - y. Let v(d) = 2*d**2. Give v(p(a)).
8*a**2
Let m(x) be the second derivative of 3*x + 0*x**2 + 1/3*x**3 + 0. Let j(f) = -f - 2. Let o(a) = -1. Let w(q) = j(q) - 2*o(q). What is m(w(t))?
-2*t
Let t(v) = v - 4. Let o be t(6). Let x(k) = -k**2 - k**2 + 3*k**o. Let y(w) = -2*w. Let z(g) = 3*g. Let p(c) = 8*y(c) + 5*z(c). What is p(x(b))?
-b**2
Let m(b) = -b**2. Let d(l) = -2*l**2 - l. Give d(m(n)).
-2*n**4 + n**2
Let w(r) = 3*r. Let c(v) be the first derivative of -v**4/12 + 3*v**2/2 - 1. Let l(s) be the second derivative of c(s). Determine l(w(y)).
-6*y
Let l(h) be the third derivative of -h**4/8 - 10*h**2. Let q(k) = -7*k. Let y(s) = s. Let t(w) = q(w) + 6*y(w). Calculate t(l(a)).
3*a
Let i(p) = 2*p**2. Let x(o) = -2*o**2 + 7*o - 2. Let n be x(2). Let l(t) be the third derivative of 1/4*t**n - t**2 + 0 + 0*t + 0*t**3. Determine i(l(y)).
72*y**2
Let k(m) = 36932*m. Let y(n) = 2*n. Calculate y(k(b)).
73864*b
Let v(c) = c. Let q = -23 - -33. Let y(p) = p + 1. Let b = 22 + -24. Let j(l) = -l**2 + 5*l + 5. Let x(a) = b*j(a) + q*y(a). What is v(x(h))?
2*h**2
Let f(z) = 18*z + 3. Let b(v) = 16*v**2. Determine f(b(h)).
288*h**2 + 3
Let l(s) = 5*s. Let k(a) = -5 - 4*a - 131*a + 5. Let x(d) = -2*k(d) - 55*l(d). Let n(j) = -j**2 - 2*j**2 + 2*j**2. Determine n(x(c)).
-25*c**2
Let q(h) = h**2. Let u(t) be the third derivative of t**4/12 + t**3/6 + 2*t**2. Determine q(u(o)).
4*o**2 + 4*o + 1
Let r(d) = -2*d**2. Let k(t) = -2*t. Let i = -8 - -3. Let p(n) = -3*n. Let w(m) = i*p(m) + 6*k(m). Calculate w(r(a)).
-6*a**2
Let b(l) be the third derivative of -l**4/6 + 11*l**2. Let s(g) be the second derivative of -g**3/3 - g. Calculate s(b(u)).
8*u
Let r(a) = -2*a. Let l(m) = -220*m**2. Determine l(r(u)).
-880*u**2
Let o(y) be the second derivative of 0 + 1/3*y**3 + y + 0*y**2. Let q(p) = -2*p. Give o(q(l)).
-4*l
Let w be (-16)/(-15) - (-2)/(-5). Let v(o) be the first derivative of 0*o**2 - w*o**3 + 0*o - 2. Let h(c) = -c. Calculate h(v(b)).
2*b**2
Let r be ((-32)/(-20))/4*5. Let y(o) = -o + 3. Let m be y(0). Let v(i) = i**r - m*i**2 + 0*i**2. Let a(n) = 2*n**2. Calculate a(v(h)).
8*h**4
Let k(a) = -8*a**2 - 3*a**2 - 9*a**2 + 16*a**2. Let d(r) = -6*r. Determine d(k(y)).
24*y**2
Suppose 4*t = 3*t + 4. Let o(g) = t*g - 5*g - 2*g + 5*g. Let w(h) = -6*h. Determine w(o(v)).
-12*v
Let s(c) = -28*c - 2. Let f(i) = -2*i**2. Give s(f(o)).
56*o**2 - 2
Let s(i) = -662*i**2. Let c(l) = -2*l. Give c(s(d)).
1324*d**2
Let c(v) = -2*v. Let k(o) be the first derivative of 2*o**3/3 - 29. What is k(c(w))?
8*w**2
Let z(r) = 53*r. Let v(g) = -16*g**2. Give v(z(w)).
-44944*w**2
Let f(w) = -3*w**2. Let h(o) be the third derivative of -o**6/240 + o**4/12 - o**2. Let c(x) be the second derivative of h(x). Give f(c(t)).
-27*t**2
Let n(h) = -h. Let g(z) = -1371*z**2. Determine n(g(u)).
1371*u**2
Let u(o) = 4*o**2 + 362. Let w(z) = 7*z**2. Calculate u(w(a)).
196*a**4 + 362
Let d(l) = 2*l. Let o(g) be the second derivative of 2*g**3 - 3*g**3 - g - 2*g + 2*g**3. Determine o(d(p)).
12*p
Let r(o) = -8*o**2 + 5. Let w(i) = i**2 - 1. Let l(k) = r(k) + 5*w(k). Let x(j) = -j**2 + j. Let v(t) = t**2 + 2*t. Let n(u) = -v(u) + 2*x(u). What is l(n(f))?
-27*f**4
Let p(s) = 3*s - 2290. Let y(k) = -2*k**2. What is y(p(i))?
-18*i**2 + 27480*i - 10488200
Let f(d) = -68*d. Let w(l) = 12*l. What is w(f(h))?
-816*h
Let w(m) = 10*m. Let f(h) = -h. Let b(z) = 35*f(z) + 4*w(z). Let j(s) = -2*s. Give j(b(v)).
-10*v
Let h(m) = -4*m - 1. Let i(z) = 2*z + 1. Let c(w) = -2*h(w) - 2*i(w). Let t(x) = 12*x**2. Give t(c(j)).
192*j**2
Let r(l) = 2*l. Let g(z) = 5*z**2 + 0*z**2 + 2*z - 2*z. Determine g(r(m)).
20*m**2
Suppose 3*d - 6 = 0, -v + 4 = -4*d + 7. Let q(i) be the third derivative of 0*i**3 + 0 + 0*i + i**2 + 1/60*i**v + 0*i**4. Let r(b) = b**2. What is r(q(w))?
w**4
Let w(f) be the second derivative of -f**3/2 - 4*f - 3. Let k(u) = -10*u. Calculate w(k(s)).
30*s
Let g(h) = 2*h**2. Let o(r) = 1209*r**2. Determine g(o(p)).
2923362*p**4
Let w(n) be the third derivative of 7*n**5/60 + 16*n**2. Let t(v) = -8*v. Give t(w(c)).
-56*c**2
Let u(t) be the first derivative of t**2 + 3. Let n(m) = 6*m. What is n(u(k))?
12*k
Let o(t) = 10*t. Let y(f) = -27*f**2 + 11. What is o(y(g))?
-270*g**2 + 110
Let x(q) be the first derivative of -q**2/2 - 12*q + 10. Let v(p) = -2*p**2. What is v(x(d))?
-2*d**2 - 48*d - 288
Let m(l) = l. Let j(q) be the third derivative of 0 + 0*q**3 + 0*q**4 + 1/60*q**5 - 3*q**2 + 0*q. Give j(m(g)).
g**2
Let j(v) = 3*v + 4. Let o(x) = -5*x - 7. Let y(u) = 7*j(u) + 4*o(u). Let n = 2 + -1. Let s(d) = 1 - n - 9*d + 11*d. Determine y(s(r)).
2*r
Let g(p) = p**2 + 2*p**2 + 4*p**2 - 5*p**2. Let v(l) = l - l - l**2. Determine v(g(m)).
-4*m**4
Let h(s) be the second derivative of s**5/40 + 5*s**3/6 + 2*s. Let m(p) be the second derivative of h(p). Let j(u) = u. Calculate j(m(c)).
3*c
Let g(k) = -5*k. Let o(i) = -12*i**2 + 2*i. Determine o(g(w)).
-300*w**2 - 10*w
Let c(x) = 5*x**2 + 11*x - 11. Let m(r) = r**2 + 2*r - 2. Let u(t) = -6*c(t) + 33*m(t). Let n(f) = 3*f**2. Determine n(u(w)).
27*w**4
Let q(r) be the second derivative of r**4/12 + r. Let l(t) = 22*t - 17 + 17 - 19*t. Determine q(l(b)).
9*b**2
Let i(y) be the third derivative of y**5/15 - 4*y**2. Let s(l) = -l**2. Calculate s(i(k)).
-16*k**4
Let v(z) = -2 + z + 2 - 3. Let x be v(5). Let s(t) = -2*t + 3 + x - 5. Let l(p) = 2*p. Determine l(s(w)).
-4*w
Let i(w) = 469*w. Let v(l) = 9*l. What is i(v(p))?
4221*p
Let n(h) = -10*h. Let t = 7 - 5. Let g(o) = 4 + o - 6 + t. Calculate n(g(i)).
-10*i
Let o(w) = -5*w. Let h(u) = -123*u. Give o(h(q)).
615*q
Suppose 8*v = 4*v + 16. Let x(u) = 8*u + u - 6*u + v*u. Let h(b) = -2*b. What is h(x(m))?
-14*m
Suppose 0 = -2*y - o + 10, 3*o - 20 = -6*y + 2*y. Let k = 7 + -3. Let v(x) = k*x**2 + 4*x**2 - y*x**2. Let c(s) = 2*s. What is v(c(l))?
12*l**2
Let r(d) be the second derivative of d**4/3 + d. Let h(p) be the second derivative of -p**3/3 - 35*p. Give h(r(f)).
-8*f**2
Let n(s) = -2*s. Let j(t) be the third derivative of -t**4/8 - t**2. Determine j(n(o)).
6*o
Suppose o - 2*o = 0. Let y(d) be the first derivative of -2 + 3*d**2 + o - 2*d**2. Let r(k) = -2*k. What is y(r(u))?
-4*u
Let j(t) = 2*t**2. Let m(s) = -s**2 + s - 1. Let k(n) = -170*n**2 + 4*n - 4. Let p(b) = -k(b) + 4*m(b). Give j(p(c)).
55112*c**4
Let c(w) = 4*w. Suppose 3*q - 52 = 17. Let o(g) = -q + 23 - g**2. Calculate c(o(m)).
-4*m**2
Let t(b) be the first derivative of -b**5/20 + b**2/2 - 1. Let g(v) be the second derivative of t(v). Let x(q) = -3*q + 3*q + q**2. Give g(x(u)).
-3*u**4
Let a(y) = 3*y**2. Let m(d) = -2*d**2 - 44*d. Determine m(a(t)).
-18*t**4 - 132*t**2
Let i(x) = -14*x**2. Let m(z) = -3 - z + 3. Give i(m(a)).
-14*a**2
Let p(r) = 283*r. Let d(q) = -7*q. Determine p(d(y)).
-1981*y
Let z(d) = -2*d**2 - 2*d + 2. Let a(c) = 2*c**2 + 3*c - 3. Let n(b) = 2*a(b) + 3*z(b). Let g(s) = -5*s**2. What is g(n(p))?
-20*p**4
Let w(v) = -6*v. Let h(l) = -4*l**2. Determine w(h(o)).
24*o**2
Let c(y) = 6*y. Let t(j) = 15*j. Let n(h) = -14*c(h) + 6*t(h). Let o(i) = 7*i**2 + 5*i. Let l(d) = -4*d**2 - 3*d. Let s(x) = -5*l(x) - 3*o(x). W