b(f))?
14*f**2
Let m(g) = 3*g**2. Let p(r) = 3*r**2 + 3*r + 3. Let w(o) = o**2 - o - 1. Let l(s) = p(s) + 3*w(s). Determine l(m(x)).
54*x**4
Let k(o) = 2*o + 4. Let p(w) = 5*w + 9. Let r(z) = -9*k(z) + 4*p(z). Let x(b) = -554 + 554 - 2*b**2. Determine r(x(h)).
-4*h**2
Let v(f) = 2*f. Let p(h) = -5838*h. Calculate p(v(g)).
-11676*g
Let c(j) = 5*j**2. Let g(t) = -64*t - 3. Calculate c(g(o)).
20480*o**2 + 1920*o + 45
Let f(h) = -7*h**2 + 1. Let a(o) = -4*o**2 + 1. Let u(x) = -5*a(x) + 3*f(x). Let m(t) be the first derivative of u(t). Let z(v) = -4*v**2. Determine z(m(r)).
-16*r**2
Let v(h) = -31 + 31 - 2*h**2. Let q(f) = 2*f**2. Determine v(q(n)).
-8*n**4
Let a(k) = k**2 - 2. Let n be a(2). Let h(b) be the first derivative of 3/2*b**n + 0*b - 3. Let c(g) = -2*g. Determine h(c(z)).
-6*z
Let r(i) = -2*i. Let o(l) be the third derivative of -16*l**5/15 - 10*l**2 - 4. Give o(r(h)).
-256*h**2
Let r(o) = -o**2. Let l be 2/(-2 + 5 + -2). Let c(m) = -2*m - l*m - 9*m - 5*m. Give c(r(i)).
18*i**2
Let s(x) = -4*x. Let j(l) = 4 - 17*l**2 - 4 + 23*l**2. What is j(s(t))?
96*t**2
Let a(n) = -19*n - 5*n**2 + 3*n**2 + 19*n. Let m(f) be the third derivative of -f**4/8 - f**2. Determine m(a(y)).
6*y**2
Let s(j) = 21*j**2 - 6*j. Let p(z) = 2*z**2. What is s(p(y))?
84*y**4 - 12*y**2
Suppose 0 = 2*g - 3*n - 11, -4*g + 4*n + 16 = -4. Let s(j) = -g*j**2 + j**2 + j**2 + 4*j**2. Let l(a) = -3*a. What is s(l(r))?
18*r**2
Let l(p) = 8*p**2. Let f(z) = -17*z - 13. Let o(m) = 12*m - 6 + 0 - 20*m. Let x(i) = -6*f(i) + 13*o(i). Determine l(x(v)).
32*v**2
Let i(c) = -47*c. Let x(q) = -5*q**2. Give x(i(t)).
-11045*t**2
Let m(d) = 4*d. Let q(z) be the third derivative of 19*z**4/24 - 3*z**2. What is m(q(i))?
76*i
Let b(n) = n**2. Let l(z) be the first derivative of -7*z**3/3 - 3. What is b(l(j))?
49*j**4
Let t(f) = 2*f. Let x(r) = 397*r**2. Determine t(x(g)).
794*g**2
Let x(s) = 19*s**2 + 1. Let h(v) = -10*v. Calculate x(h(r)).
1900*r**2 + 1
Let j(b) = b. Let y(p) = -168*p. Let z(c) = 144*j(c) + y(c). Let i(o) = o**2. Give z(i(m)).
-24*m**2
Let m(k) = -4*k**2 + 5*k - 5. Let v(l) = -l**2 + l - 1. Let y(x) = 4*m(x) - 20*v(x). Let i(q) = -10*q. What is i(y(f))?
-40*f**2
Let o(b) = 3*b**2. Let p(u) = -196*u**2. What is p(o(z))?
-1764*z**4
Suppose -p = -2*s + 6, -p + s - 13 = -3*p. Let i(z) = -3*z**2 - p*z - 2*z + 6*z. Let n(y) = 3*y. Calculate i(n(d)).
-27*d**2
Let f(b) = 9*b**2. Let t(d) = 8*d**2 + 6. Let u(a) = 17*a**2 + 13. Let r(p) = 13*t(p) - 6*u(p). Determine r(f(s)).
162*s**4
Let r(s) = 4*s**2 + 3 - 3 + 0*s**2. Let m(i) = -14*i**2. Give m(r(t)).
-224*t**4
Let r(u) be the second derivative of -u**3/3 - u. Let o(y) be the third derivative of -1/15*y**5 + 0*y**3 + 0*y**4 - 5*y**2 + 0*y + 0. Calculate o(r(k)).
-16*k**2
Let f(v) = 8*v**2 - 6. Let d(m) = 3*m**2. Calculate f(d(z)).
72*z**4 - 6
Let j(p) = 2*p**2. Let s(g) be the first derivative of -g**3 + 0*g - 5 + 0*g**4 - 1/60*g**5 + 0*g**2. Let l(c) be the third derivative of s(c). Give l(j(y)).
-4*y**2
Let h(s) be the first derivative of -s**2/2 - 5. Let z(w) = 10*w. Calculate h(z(k)).
-10*k
Let v(l) = -l + 2*l + l. Let r(b) = -3*b - 2*b + 7*b. Give r(v(w)).
4*w
Let j(p) = 35*p**2. Let q(x) be the second derivative of x**4/6 - 12*x. Determine q(j(d)).
2450*d**4
Let o(q) = -2*q**2. Let z(f) = -f + 7*f - 6*f - 3*f. What is o(z(j))?
-18*j**2
Let q(p) = 3*p. Let h = 18 - -4. Suppose -3*o = x - 7, 4*o = 3*x + h + 9. Let r(b) = 0*b - 5*b + o*b. Determine q(r(d)).
-3*d
Let t(p) = -2*p - 5. Let d(v) = 2*v + 4. Let z(q) = -5*q**3 + q**2 - 1. Let a be z(-1). Let f(h) = a*d(h) + 4*t(h). Let j(r) = -r. What is j(f(m))?
-2*m
Let v(c) = 3*c**2 + 11*c - 11. Let j(p) = -p**2 - 4*p + 4. Let t(o) = 11*j(o) + 4*v(o). Let q(g) = 7*g**2. What is q(t(m))?
7*m**4
Let r(h) = -28*h - 21. Let n(b) = -5*b. Calculate r(n(z)).
140*z - 21
Let x(l) = l. Let s(o) = -o**2 + 3*o. Let r(n) = -s(n) + 3*x(n). Let p(f) be the third derivative of -f**4/12 + f**2. Determine r(p(t)).
4*t**2
Let y(n) = 22*n**2. Let m(i) = -27*i. What is m(y(t))?
-594*t**2
Let x(h) = -19*h - 6. Let t(n) = 287*n + 91. Let m(s) = -6*t(s) - 91*x(s). Let r(w) = 9*w. Calculate m(r(y)).
63*y
Let j(s) = -s**2. Let a(q) = -41*q**2 + 8*q - 8. Let r = -9 - -4. Let h(m) = 27*m**2 - 5*m + 5. Let t(b) = r*a(b) - 8*h(b). Determine t(j(u)).
-11*u**4
Let u(l) = 48*l + 2. Let i(v) = -v**2. Give i(u(a)).
-2304*a**2 - 192*a - 4
Let u(g) = -11*g**2 - 3*g. Let z(d) = -281*d**2. Determine u(z(v)).
-868571*v**4 + 843*v**2
Let b(t) be the third derivative of t**4/8 - 2*t**2. Let a(k) = 8*k**2. What is a(b(z))?
72*z**2
Let t(b) = -b**2. Let r(o) = 3*o + 4. Let n(y) = -5*y - 10. Let k(v) = -10*v - 19. Let a(d) = -3*k(d) + 5*n(d). Let z(i) = -4*a(i) + 7*r(i). Calculate z(t(p)).
-p**2
Let s(c) be the first derivative of -c**2 + 2. Suppose h - 14 = -2*h - 4*l, 0 = 5*h + 3*l - 16. Let f(q) = 40 + 4*q**h - 40. Determine s(f(u)).
-8*u**2
Let v(b) = 6*b. Let n(f) = -44*f. Give n(v(i)).
-264*i
Let j(o) = 3*o**2. Suppose 6 = -0*n - 3*n, 0 = -3*i + 3*n + 12. Let z(w) = 5*w - 5*w + 2*w**i. What is j(z(u))?
12*u**4
Let h(y) = 5*y**2 - 139 + 139. Let w(x) = 4*x - 3*x + x + 0*x. Determine w(h(v)).
10*v**2
Suppose -4*z + 5*v + 23 = 5, 0 = -4*z - 4*v. Suppose -5*c = -3*p - 22, 2*c = 6*c + 2*p. Let s(r) = c*r**z - 2*r + r + r. Let b(i) = -5*i. Give s(b(a)).
50*a**2
Let n(k) = -k. Let t = -3 - -6. Let b(o) = -2*o + 3. Let s(j) = -5*j + 8. Let d(z) = t*s(z) - 8*b(z). What is d(n(v))?
-v
Let l(b) = -676*b**2 + 3*b. Let f(m) = 4*m**2. Determine l(f(r)).
-10816*r**4 + 12*r**2
Suppose 3*h = -2*h + 35. Let b(k) = -3*k + 2 + 5 - h. Let n(l) = -2*l. Give b(n(m)).
6*m
Let d(p) = 18*p**2. Let n(h) = 8*h**2 - 6*h + 6. Let t(f) = 17*f**2 - 13*f + 13. Let o(r) = 13*n(r) - 6*t(r). What is d(o(u))?
72*u**4
Let o(t) = 234*t**2. Let p(b) = -31*b**2. Determine o(p(h)).
224874*h**4
Suppose -2*f - 4 = -2*h - 0*h, -h = f - 2. Let g(m) = -3*m + m + h*m + 4*m. Let c(r) = -2*r. What is c(g(s))?
-8*s
Suppose -15 = -0*p + 5*p, 4*p - 8 = -4*v. Suppose 0 = v*q - 6*q + 2. Let x(k) = -4*k - q*k + 3*k. Let t(g) = g. What is t(x(z))?
-3*z
Let y(p) = -2*p + 3*p + 2*p - p. Let k(s) be the first derivative of 4*s**3/3 - 5. Calculate y(k(t)).
8*t**2
Let d(k) be the third derivative of k**5/60 + 7*k**2. Let n(u) = -16 - u + 16 + 0*u. Give n(d(f)).
-f**2
Let y(s) = 9*s. Let a(f) = 2*f**2 - 36*f. Calculate a(y(v)).
162*v**2 - 324*v
Let h(o) be the third derivative of -o**5/60 - 4*o**2. Let b(i) = -55*i. What is h(b(q))?
-3025*q**2
Let z(j) = 5*j**2. Let b(h) be the third derivative of -h**4/24 + h**3/3 + 2*h**2. Let m be b(1). Let i(w) = -m + 2*w**2 + 1. Give z(i(t)).
20*t**4
Let x(k) = k + 3. Let v(j) = 1. Let s(m) = -6*v(m) + 2*x(m). Let a(n) be the first derivative of -6*n**3 - 6. Determine s(a(h)).
-36*h**2
Let u(l) = 2*l. Let h be (-3)/(-7) + (-22)/(-14). Let y(n) = -h*n - 3*n + 6*n. Calculate y(u(m)).
2*m
Let p(t) = -t**2 + 4*t. Let w(g) = -g**2 + 3*g. Let n(y) = 3*p(y) - 4*w(y). Let d(h) = 4*h**2. Calculate d(n(u)).
4*u**4
Let k(x) = -4*x**2 - 29. Let s(p) = 2*p**2. What is s(k(a))?
32*a**4 + 464*a**2 + 1682
Let m(q) = q**2. Let n(d) be the third derivative of 1/3*d**3 + 0*d**4 + 0*d + 0 + d**2 - 1/30*d**5. Let u(k) be the first derivative of n(k). What is u(m(y))?
-4*y**2
Let t(u) = -2*u - 6. Let x be t(-4). Let r(h) = -7*h + 2*h + x*h. Let v(l) = -l**2. What is v(r(y))?
-9*y**2
Let k(h) be the first derivative of -2*h**3/3 + 9. Let l(q) = 10*q. What is l(k(u))?
-20*u**2
Let c(h) be the first derivative of h**3/3 + 22. Let v(k) = -4*k**2 - k**2 + 6*k**2. Determine c(v(m)).
m**4
Let l(k) = k**2. Let o(q) = q - 70 + 11*q**2 + 70. Give o(l(s)).
11*s**4 + s**2
Let n(o) = 5376*o**2. Let u(a) = 3*a. What is u(n(d))?
16128*d**2
Let c(j) be the second derivative of 0 + 0*j**3 - 1/24*j**4 - 1/2*j**2 + j. Let p(v) be the first derivative of c(v). Let h(i) = 3*i. What is p(h(r))?
-3*r
Suppose -3*p - 4*y = -9*y + 7, -p = 3*y - 21. Let h(v) = 3*v - p*v + 2*v. Let a(d) = -4*d + d + 0*d. What is a(h(f))?
3*f
Let q(w) = -4*w. Let v(d) = d - 73. Give v(q(y)).
-4*y - 73
Let x(c) be the second derivative of -31*c**4/12 - 23*c. Let w(k) = -3*k**2. Give x(w(v)).
-279*v**4
Let k(b) be the first derivative of 3*b**2/2 - 3. Let l(z) be the first derivative of 3*z**2/2 + 2. Give k(l