- 1/6*v**4 + 0*v**3 + 0*v**2. Let t(p) = 11*p - 16*p + 0 + 0. Give t(i(g)).
10*g**2
Let s(y) = -7*y**2. Let g(q) be the second derivative of -q**4/6 + 179*q + 3. Give g(s(c)).
-98*c**4
Let u(n) = -4*n**2 + 8*n. Let g(l) = -12*l**2 - 10*l - 5. Let f(z) = -5*z**2 - 4*z - 2. Let d(o) = 10*f(o) - 4*g(o). Calculate u(d(y)).
-16*y**4 - 16*y**2
Let d(v) = 4*v. Let r(n) = 3*n. Let u(a) = 5*d(a) - 8*r(a). Let i be (-2)/(-3) + (-2 - 8/(-6)). Let f(w) = 10*w**2 + i*w + 0*w - 8*w**2. Give f(u(b)).
32*b**2
Let k(x) = x. Let i(o) be the third derivative of 0*o**3 + 1/12*o**4 + 0 + 0*o + 9*o**2. Give k(i(p)).
2*p
Let i(l) be the third derivative of l**5/30 + l**4/6 - l**2. Let a(p) be the third derivative of p**4/12 - 1938*p**2. What is i(a(u))?
8*u**2 + 8*u
Let r(n) = 20*n - 841. Let q(j) = -14*j. Give q(r(h)).
-280*h + 11774
Let n(l) = 11*l. Let j(t) = -3*t. Let v(q) be the third derivative of -q**4/8 + 51*q**2. Let x(y) = -2*j(y) + 3*v(y). What is n(x(o))?
-33*o
Let o(p) = p. Let d(b) be the third derivative of 7*b**6/360 + 5*b**4/12 + 2*b**2. Let v(j) be the second derivative of d(j). What is o(v(m))?
14*m
Let j(a) = 23551*a. Let r(d) = -13*d**2 + 3*d. Determine j(r(z)).
-306163*z**2 + 70653*z
Let k(d) = 2394*d - 70. Let j(g) = -104*g + 3. Let a(q) = -70*j(q) - 3*k(q). Let o(i) = 4*i**2. What is o(a(t))?
38416*t**2
Let k(v) = -10*v**2. Let f(m) be the second derivative of -5*m**3/6 - 2*m**2 - 5*m. Let x(o) = -4*o - 3. Let n(h) = -3*f(h) + 4*x(h). What is n(k(y))?
10*y**2
Let v(s) = -s**2. Let k(z) = -445*z**2 + 39*z - 2. Determine k(v(q)).
-445*q**4 - 39*q**2 - 2
Let x(g) = -28*g - 6 - 88*g + 109*g. Let w(h) = -3*h. Calculate x(w(f)).
21*f - 6
Let l(q) = 2*q. Let z be (-4)/(-6) + (-125)/(-15). Let f be ((-6)/z)/((-1)/3). Let w(i) = 3*i + i - f*i. Give w(l(a)).
4*a
Let a(x) = 11*x**2 + 1. Let i(c) = 10*c + 33. What is a(i(n))?
1100*n**2 + 7260*n + 11980
Let j(v) be the third derivative of 3*v**4/8 - v**2. Let w(g) be the second derivative of 0*g**2 + 3*g + 1/3*g**3 + 0. Determine j(w(l)).
18*l
Suppose 5*u - 6*u = -2*u. Let g(n) be the second derivative of u*n**2 - 4*n + 0 - 1/3*n**3. Let d(a) = 12*a. What is d(g(m))?
-24*m
Let q(p) = -p + 3. Let m(h) = 1. Let f(k) = 3*m(k) - q(k). Let a(z) = -4*z. Let b(v) = 2*a(v) + 7*f(v). Let u(w) = 28*w. Determine u(b(y)).
-28*y
Let l(i) = 2*i**2 + 21*i + 347. Let x(o) = -2*o. Determine l(x(a)).
8*a**2 - 42*a + 347
Let q(b) = -133*b - 3*b**2 + 62*b + 71*b. Let w(f) be the second derivative of 2*f**3 - 4*f. Determine w(q(y)).
-36*y**2
Let x(w) = -12*w. Let l(j) = 2*j. Let t(h) = 11*l(h) + 2*x(h). Let d(b) = 2*b - 26. Give d(t(g)).
-4*g - 26
Suppose 25 = s + 4*s. Let v(c) = -1 + s*c + 1. Let z(r) = -2*r - 17 + 17. Calculate z(v(x)).
-10*x
Let p(d) = 2*d. Suppose -z + 4 = 2*n - 4, 0 = 2*n + 3*z - 16. Suppose -2*q = -2*i, 4*q + 2*i + 0*i = 0. Let u(s) = 4*s**2 + q*s**n - s**2. What is u(p(y))?
12*y**2
Let l(m) = -101*m. Let i(b) = -1024*b**2. Determine i(l(j)).
-10445824*j**2
Let n(q) = 8*q. Let x(w) = -24481*w. Give n(x(u)).
-195848*u
Let m(z) = 360*z. Let n(g) = -4*g**2 - 11*g + 33. Let b(a) = a**2 + 3*a - 9. Let o(r) = -22*b(r) - 6*n(r). Determine m(o(s)).
720*s**2
Let f(w) = 3 + 6 - 2*w + 4 + 6. Let l be f(13). Let y(q) = -2*q - 7. Let n(b) = b + 3. Let j(i) = l*n(i) - 3*y(i). Let x(o) = 4*o. What is j(x(z))?
-4*z
Let r be ((-3)/(-2))/3 - 999/(-54). Let z(q) = 2*q - 22 - q - r + 8. Let x(i) = i**2. What is x(z(v))?
v**2 - 66*v + 1089
Let w(s) = 2*s**2 + 12914. Let y(b) = 4*b. Give w(y(p)).
32*p**2 + 12914
Let b(m) = -2*m. Let n(l) = -8*l - 4451. Give b(n(f)).
16*f + 8902
Let c(d) = -2*d. Let n(k) = -5 + 5 + 1 + k. Let r(f) = 5*f + 6. Suppose -28 = 4*l + 2*a, -2*l - 2*a = -4*l - 8. Let m(i) = l*n(i) + r(i). What is c(m(x))?
2*x
Let k(c) = -2 + c**2 + 2. Let j(g) = 5140*g + 43 + 5148*g - 10289*g. Give j(k(b)).
-b**2 + 43
Let z(y) = -4*y**2 + 12723. Let h(q) = -q. What is h(z(p))?
4*p**2 - 12723
Let w(t) = -260*t + 538*t - 7*t**2 - 278*t. Let p(f) = 12*f. Calculate w(p(s)).
-1008*s**2
Let u(h) = -2*h. Let i(g) = 23211*g**2. What is i(u(k))?
92844*k**2
Let d(u) = 12*u**2 + 2708*u. Let s(k) = 53*k. Determine s(d(q)).
636*q**2 + 143524*q
Let z(n) = 52*n**2 + 2*n. Let h(y) = -77*y. What is h(z(i))?
-4004*i**2 - 154*i
Let y(k) = 2*k**2 - 262. Let j(r) be the second derivative of r**3/3 + 315*r. Give y(j(n)).
8*n**2 - 262
Let c(i) be the second derivative of -i**4/12 + 13*i**3/6 - 64*i. Let x(w) = 6*w**2. Determine x(c(s)).
6*s**4 - 156*s**3 + 1014*s**2
Let q(g) = 3*g**2 - 10*g - 4. Let d(t) = 7*t**2 - 25*t - 10. Let v(o) = -2*d(o) + 5*q(o). Let r = 16 - 9. Let h(i) = 1 - 1 + r*i. What is v(h(f))?
49*f**2
Let g(x) = -51*x + 9. Let l(r) = -13*r + 2. Let b(z) = -2*g(z) + 9*l(z). Let d(i) be the first derivative of 2*i**2 + 162. Calculate b(d(j)).
-60*j
Let o(t) = -364*t + 1. Let r(n) = 11*n**2. Calculate r(o(s)).
1457456*s**2 - 8008*s + 11
Let g(s) = s**2 + 6*s + 3. Let y(u) = -2*u**2 - 8*u - 4. Let m(f) = 4*g(f) + 3*y(f). Let i(k) = 3*k**2 - 14*k**2 - 21*k**2 + 6*k**2 + k. Calculate m(i(j)).
-1352*j**4 + 104*j**3 - 2*j**2
Let i(n) = -2*n**2. Let t(x) be the second derivative of 3*x**4 + x**3/3 + 123*x + 1. Determine t(i(k)).
144*k**4 - 4*k**2
Let t(f) = 477*f. Let q(p) = -p**2 + 9. What is t(q(m))?
-477*m**2 + 4293
Let o be 3 + (2 - (2 + 3)) + 2. Let j(g) = 0*g - 371*g**o + 0*g + 375*g**2. Let q(r) = 4*r. Determine q(j(f)).
16*f**2
Let b(i) be the first derivative of -3*i**2/2 - 1. Let n(s) = 9*s + 1. Let o(g) = 76*g + 8. Let a(t) = -24*n(t) + 3*o(t). Calculate b(a(r)).
-36*r
Let z(u) = -3*u**2. Let c(x) = -1621*x**2 - 3 + 1622*x**2 + 3. Let r(k) = -k**2. Suppose v + 4 = -3. Let s(f) = v*r(f) - 5*c(f). What is s(z(l))?
18*l**4
Let t(c) = -5*c. Let l(i) = 12246*i. Determine l(t(u)).
-61230*u
Let l(g) = 1405*g**2 - 4*g + 1. Let o(a) = -11*a. Calculate l(o(p)).
170005*p**2 + 44*p + 1
Let x(s) = 254*s**2. Let y(p) = -36*p. Determine x(y(l)).
329184*l**2
Let l(t) = 5*t - 2*t + t - 2*t. Let c(d) = 8 + 2*d - 4 + 4 + 7. Calculate l(c(j)).
4*j + 30
Let w(i) = -12*i - 3. Let k(b) = -138*b - 7. Determine k(w(c)).
1656*c + 407
Let z(m) be the first derivative of m**3/3 + 22. Let a(q) = -q**2 - 109*q + 127*q + 51*q. Calculate z(a(w)).
w**4 - 138*w**3 + 4761*w**2
Let a(w) = 174*w + 130*w - 320*w. Let m(h) = 54*h. Give a(m(f)).
-864*f
Let l(c) = -22*c + 19. Let g(o) = 15*o. What is l(g(t))?
-330*t + 19
Let z(m) = -2*m**2. Let u(a) = 160*a**2 - 66*a - 327*a**2 + 165*a**2. Determine u(z(r)).
-8*r**4 + 132*r**2
Let g = -25 + 30. Let s(n) = g*n**2 - 2*n**2 + 2*n**2. Let y(o) = o**2. Determine s(y(m)).
5*m**4
Let m(s) = -5*s. Let c(u) = 1 + 1 - 3 - 20*u + 4*u - 19*u. What is c(m(t))?
175*t - 1
Let y(i) = 5*i + 5. Let b(z) = -5. Let u(p) = 6. Let t(a) = -5*b(a) - 4*u(a). Let s(g) = 5*t(g) - y(g). Let q(c) = -4*c**2. Calculate q(s(k)).
-100*k**2
Let n(w) = w - 36. Let o(b) = -2*b + 60. Let t(m) = -5*n(m) - 3*o(m). Let h(y) = -174*y**2. Determine t(h(q)).
-174*q**2
Let g(m) = 12*m + 15. Let v(a) = a + 3. Let q(w) = 2*g(w) - 10*v(w). Let u(l) = -2*l**2 + l. Calculate u(q(t)).
-392*t**2 + 14*t
Let j(w) = 5*w + 3. Let b(g) = 3*g**2 - 362. Determine b(j(u)).
75*u**2 + 90*u - 335
Let r(a) = 2*a - 14. Let t(m) = 4*m + 2. Give t(r(y)).
8*y - 54
Let c(u) = -3*u**2 + 51. Let f(t) = -4*t**2 + t. What is f(c(v))?
-36*v**4 + 1221*v**2 - 10353
Let x(w) be the second derivative of -w**3/3 - 116*w. Let c be (3/(-6))/(2/(-20)). Let j(g) = -g**2 + 5 - c. Calculate j(x(z)).
-4*z**2
Let f(z) = 2*z**2. Let v(i) = 20477*i**2 + 2. Calculate v(f(r)).
81908*r**4 + 2
Let i = -178 - -249. Let z(o) = 71 + o**2 - i. Let w(y) = 6*y**2. Calculate w(z(g)).
6*g**4
Let x(s) = -25*s**2 - 11*s**2 + 34*s**2. Let t(l) = -l**2 + 218. Give x(t(i)).
-2*i**4 + 872*i**2 - 95048
Let t(f) = 2*f**2 - 36*f. Let j(n) = 16*n - 152. Determine t(j(g)).
512*g**2 - 10304*g + 51680
Let n(q) be the second derivative of 13*q**4/2 - 7*q - 51. Let o(v) = -5*v. Calculate o(n(f)).
-390*f**2
Let w be (-22)/5 - 4/(-10). Let a = -2 - w. Let s(m) = -a*m**2 + 131*m - 131*m. Let j(t) = -7*t. Calculate s(j(n)).
-98*n**2
Let b(u) = -45*u. Let m(v) = -921*v + 45. Let h(s) = 41*s - 2. Let n(y) = 45*h(y) + 2*m(y). Give b(n(q)).
-135*q
Let j(n) be the first derivative of 0*n**2 - 18 - 2/3*n**3 + 0*n. Let h(a) = 3*a