- d. Let s(a) = -5*a**2 - 6*a + 6. Let m(v) = -4*v**2 - 5*v + 5. Let b(j) = -6*m(j) + 5*s(j). Determine i(b(y)).
4*y**4 + y**2
Let z(v) be the first derivative of 0*v**2 - 3 - 1/3*v**3 + 0*v. Let k(x) = -9*x. What is k(z(a))?
9*a**2
Let r(h) = 2*h**2. Let p(a) = -135*a. Let l(g) = -3*g + 6*g + 2*g. Let m(o) = -55*l(o) - 2*p(o). Determine m(r(v)).
-10*v**2
Let k(d) be the second derivative of d**6/360 + d**4/6 - 5*d. Let h(x) be the third derivative of k(x). Let b(l) = -5*l. Determine h(b(t)).
-10*t
Let y(o) = 39*o**2. Let p(s) = s**2. Let v(h) = 52*p(h) - y(h). Let c(i) = 2*i**2. Determine c(v(u)).
338*u**4
Suppose -8 = -0*p - p - 2*t, 0 = -p - 4*t + 14. Let n(z) = -p*z + 4*z - 5*z. Let l(c) = -3*c**2. What is n(l(v))?
9*v**2
Let v(w) be the second derivative of -w**5/15 + w**2 - 5*w. Let i(d) be the first derivative of v(d). Let l(k) = 2*k. Calculate l(i(n)).
-8*n**2
Let c(b) be the first derivative of b**2/2 + 20. Let a(i) = 4*i**2 + 10*i. Determine a(c(f)).
4*f**2 + 10*f
Suppose 3*u + 3*d = 3, -4*u + 10 = -4*d - 2. Let i(r) = -r + r + r**u. Let h(g) = g**2 - g**2 + 2*g**2. Determine h(i(c)).
2*c**4
Let y(m) = -8*m + 6*m + 0*m. Let r(v) = 6*v**2. Calculate r(y(p)).
24*p**2
Let j(q) = 2944*q**2. Let p(x) = 3*x**2. Calculate j(p(h)).
26496*h**4
Let w(n) = -2*n + 83 - 83. Let y(v) = 12*v**2. What is y(w(u))?
48*u**2
Let p(v) = -10*v**2. Let o(y) = -2*y**2 + 0*y**2 - 2*y**2 + 7*y**2. What is p(o(d))?
-90*d**4
Let x(m) = 3*m. Let o(r) = -12*r + 24*r**2 + 27*r - 15*r. Determine o(x(f)).
216*f**2
Let p(y) = 2*y. Let z = 8 + -4. Let v(l) = l. Let s(x) = z*v(x) + 2*p(x). Let i(c) = c. What is s(i(n))?
8*n
Let k(t) = -3*t - 3*t + 6*t + t. Let z(o) = -8*o**2. Calculate k(z(r)).
-8*r**2
Let a = -19 + 29. Let u(z) = -2*z**2 - 10 + a. Let j(h) be the third derivative of -h**4/8 + h**2. Give u(j(w)).
-18*w**2
Let q(v) = 1033*v - 2. Let r(i) = 10*i. Calculate r(q(g)).
10330*g - 20
Let p(x) = 2*x. Let l(y) = -148*y + 40. What is l(p(a))?
-296*a + 40
Let o(m) = 2*m - 2*m - 3*m + 4*m. Let u(x) = -4 + 6*x**2 + 4. Determine o(u(f)).
6*f**2
Let z(k) = -1363*k**2. Let i(g) = -g**2. What is z(i(b))?
-1363*b**4
Let f(m) = 2*m**3 - 2*m**2 - 2*m + 2. Let l be f(2). Let h(d) = d. Let t(i) = i. Let x(j) = l*h(j) - 3*t(j). Let o(k) = k. What is o(x(r))?
3*r
Let g(r) = -10*r. Let x(h) = -141*h**2. What is g(x(o))?
1410*o**2
Let j(o) = -3*o. Let f(l) = -l**2 - 20*l. Give f(j(d)).
-9*d**2 + 60*d
Let p(b) = -b**2 + 0*b + 0*b. Let z(i) be the third derivative of i**8/3360 + i**5/10 - 4*i**2. Let q(s) be the third derivative of z(s). Calculate q(p(n)).
6*n**4
Let q(l) = 0*l + l - 3*l. Let u(i) be the second derivative of -i**4/6 - i. Give q(u(b)).
4*b**2
Let h(c) be the third derivative of -c**4/2 + 12*c**2. Let r(g) = -g**2. Give h(r(d)).
12*d**2
Let v(n) be the first derivative of -2*n**3 - 16*n - 1. Let c(j) = -1 + 4 + j**2 + 0. Let x(z) = 16*c(z) + 3*v(z). Let i(q) = -2*q. What is i(x(k))?
4*k**2
Let w(r) = 2*r**2. Let d(u) = 2*u**2 + u + 1. Let o(m) = -m - 1. Let j(i) = -d(i) - o(i). Calculate w(j(a)).
8*a**4
Let f(y) = 2*y**2. Let o(t) = -7*t. What is f(o(k))?
98*k**2
Let b(r) = -3*r - 14. Let j(k) = -k - 4. Let x(y) = -2*b(y) + 7*j(y). Let i(q) = q + 37. Determine i(x(n)).
-n + 37
Let n(y) = 74*y**2. Let q(d) = -d. Give q(n(v)).
-74*v**2
Let z(a) = -2061*a. Let w(s) = 3*s**2. What is w(z(f))?
12743163*f**2
Let f(u) be the third derivative of -u**5/10 - u**2. Let y(c) be the first derivative of -c**2/2 + 31. Calculate y(f(v)).
6*v**2
Let c(h) be the first derivative of -1/2*h**2 + 0*h + 1. Let p(t) = -9*t**2. Determine c(p(s)).
9*s**2
Let f(s) be the first derivative of -s**2/2 + 11. Suppose 0*i + 6 = -i - 3*h, 3*h + 21 = 4*i. Let b(m) = 2 - 2 - i*m. What is b(f(q))?
3*q
Let f(c) = c**2. Let t(r) = -500*r. What is t(f(m))?
-500*m**2
Let d(l) = 16*l. Let y(f) = -7*f**2 - 5*f - 5. Let v(p) = 3*p**2 + 2*p + 2. Let c(h) = 10*v(h) + 4*y(h). What is d(c(n))?
32*n**2
Let z(d) = -5*d**2. Let f(j) = 705*j**2. Determine z(f(r)).
-2485125*r**4
Let t(r) = -r. Let s(u) = -3367*u. Determine t(s(w)).
3367*w
Let i(y) = 70*y**2. Let d(t) = -3*t + 13. Calculate d(i(v)).
-210*v**2 + 13
Let w(f) = 0 + 2*f + 0. Let t(y) = 9*y**2 - 4*y**2 - 6*y**2 - 2*y**2. Give w(t(a)).
-6*a**2
Let q = 7 + -5. Let x(d) = -q*d - 8 + 8. Let o(j) = -4*j**2. Determine x(o(m)).
8*m**2
Let p(k) = 5*k**2. Let j(a) be the third derivative of a**5/10 - 15*a**2 + 2. Determine p(j(w)).
180*w**4
Let l(v) = 3*v**2. Let o(r) be the second derivative of -r**4/4 - 5*r. Give o(l(s)).
-27*s**4
Let f(o) = 3*o**2 + o**2 - o**2. Let d(k) be the second derivative of k**4/24 + 2*k**2 + 2*k. Let g(v) be the first derivative of d(v). What is f(g(t))?
3*t**2
Let q(z) = -18*z**2. Let u(p) = 66*p. What is q(u(j))?
-78408*j**2
Let q(f) = -7*f. Let k(v) = -2*v. Calculate k(q(m)).
14*m
Let i(q) = q. Let z(y) be the second derivative of -1/6*y**4 + 0*y**3 - 3*y + 0*y**2 + 0. Calculate z(i(k)).
-2*k**2
Let o(i) = i**2. Let f(j) = 5*j - 6*j - 5*j - 2*j. What is o(f(y))?
64*y**2
Let n(o) = 4*o. Let v(t) = -17*t. Let z(i) = 26*n(i) + 6*v(i). Let h(r) be the second derivative of -1/6*r**4 + 0 - r + 0*r**2 + 0*r**3. Calculate h(z(l)).
-8*l**2
Let v(t) = t**2 - 5*t - 5. Let q be v(6). Let p(n) = -1 - n**2 + q. Let a(f) = 0 - 7 + 7 - 4*f**2. Calculate a(p(z)).
-4*z**4
Let d(f) = -37*f**2. Let g(m) = -14*m - 3*m - 11*m + 30*m. Determine d(g(p)).
-148*p**2
Let s(w) = 2*w**2. Let m(a) = 258*a**2. What is m(s(d))?
1032*d**4
Let u(n) = 2*n**2. Let k(p) = 2*p - 1. Determine u(k(o)).
8*o**2 - 8*o + 2
Let v(w) = -240*w**2 + 120*w**2 + 118*w**2. Let f(c) = 9*c - 3. Determine f(v(b)).
-18*b**2 - 3
Suppose -4*i + 5*b + 8 = 0, 0 = i - 5*b - 3 + 1. Suppose 4 = t + 2*c, -t - i*c - 3*c + 7 = 0. Let g(z) = 0*z - t*z + z. Let y(x) = 2*x**2. Determine y(g(p)).
2*p**2
Let s(q) = -7*q**2. Let p(g) = 4*g**2 - 2*g. Let w(o) = -9*o**2 + 5*o. Suppose -2*f + 8 = 2*f. Let m(z) = f*w(z) + 5*p(z). What is m(s(t))?
98*t**4
Let n(a) = -a**2 + a. Let l(q) be the second derivative of -q**4/3 + q**3 + q. Let u(j) = l(j) - 6*n(j). Let i(g) = 5*g - g - 6*g. Determine u(i(f)).
8*f**2
Let s(u) = 17*u + 5. Let h(r) = -18*r - 4. Let m(k) = -5*h(k) - 4*s(k). Let c(l) = l. Determine c(m(o)).
22*o
Let o(t) = -2*t. Let h(c) = -481*c**2 + 231*c**2 + 228*c**2. Determine o(h(m)).
44*m**2
Let s(m) = 607*m**2. Let d(i) = -8*i**2. Give d(s(h)).
-2947592*h**4
Let p(g) = g. Let f(b) = 7347*b + 2. Determine f(p(s)).
7347*s + 2
Let c(l) = 0*l**2 - l**2 - 3*l**2 + l**2. Let w(r) = 8*r. What is c(w(z))?
-192*z**2
Let l(v) be the third derivative of -v**4/24 + 3*v**2. Let r(z) = 2*z**2 - 2*z. Let j(b) = 2*l(b) - r(b). Let y(s) = -s**2 + 7*s**2 - 2*s**2. Give y(j(g)).
16*g**4
Let y(l) = 2*l. Suppose 7*j = 2*j + 15. Let c(r) = 3 - 4*r - j. What is y(c(s))?
-8*s
Let q(a) = 30*a. Let r(t) = -351*t. Calculate r(q(v)).
-10530*v
Let t(w) = 27*w - 69. Let q(a) = 7*a. Determine q(t(p)).
189*p - 483
Let f(m) = -3388*m. Let p(c) = -c. Determine p(f(q)).
3388*q
Let r(d) = -2*d. Let m(x) = 18*x**2 + 2. What is m(r(n))?
72*n**2 + 2
Let x(k) = -k. Let f(g) = -5*g**2 - 2*g - 5. Let w(q) = -q**2 - q + 1. Let r(n) = -f(n) + 2*w(n). Let z(o) be the first derivative of r(o). Give z(x(y)).
-6*y
Let l(y) = y. Let n(k) = -4*k. Let t(g) = 9*l(g) + 2*n(g). Let u(v) = -15*v. Calculate u(t(r)).
-15*r
Let j(d) = -d. Let x(b) be the first derivative of -7*b**2/2 - 8. What is j(x(o))?
7*o
Let h(q) = -2*q. Let o(y) be the second derivative of 0*y**2 - 9*y + 0 + 3/2*y**3. Calculate o(h(t)).
-18*t
Let p(f) = 10*f**2 - 11*f + 11. Let c(m) = m**2 - m + 1. Let r(j) = 44*c(j) - 4*p(j). Let u(w) = -19*w**2. Give u(r(a)).
-304*a**4
Let d(r) be the first derivative of 1 - 1/2*r**2 + 0*r. Let f(o) be the second derivative of -o**3/3 + o. Give d(f(j)).
2*j
Let n be ((-2)/(-4) - -1)*2. Let d(u) = n - 3 + u. Let g(k) be the first derivative of 3*k**2/2 + 1. What is g(d(i))?
3*i
Let b(o) = 17*o**2. Let j(f) = -f**2 + 39. Calculate j(b(r)).
-289*r**4 + 39
Let p(v) be the third derivative of v**5/30 + 13*v**2. Let c(q) = -3*q + 2*q + 0*q. Determine c(p(g)).
-2*g**2
Let b(g) = 2*g. Let v(t) = -2*t. Let l(n) = -7*b(n) - 6*v(n). Let f(u) = -8*u. Give f(l(r)).
16*r
Let b(c) = -21*c**2. Let h(o) = 2*o**2 - 5*o + 2*o + 3*o. What is h(b(l))?
882*l**4