- 10*i. Let w(q) = 503*q. What is n(w(t))?
-506018*t**2 - 5030*t
Suppose 0 = 3*w - 4*j + 6, w + 5*j - 15 - 2 = 0. Let t(h) = -7*h + 0*h**2 + w*h**2 + 7*h. Let s(b) = 4*b**2. Give s(t(r)).
16*r**4
Let b(n) = -2753*n**2 - 2. Let w(m) = -11*m**2. Give b(w(u)).
-333113*u**4 - 2
Let k(u) = -5*u. Let b(m) = -6*m + 27. Let l(s) = 3*s + 8. Let y(j) = 2*j + 7. Let d(g) = -3*l(g) + 4*y(g). Let x(i) = -4*b(i) + 27*d(i). What is x(k(a))?
15*a
Let x(l) = -3*l**2. Let m(g) = -157*g - 163*g + 1 + 315*g. Calculate x(m(b)).
-75*b**2 + 30*b - 3
Let a(o) = -1 + 1 + 5*o**2. Let k(c) be the first derivative of 0*c + 2/3*c**3 + 27 + 0*c**2. Give a(k(s)).
20*s**4
Let c(j) = -j. Let k(t) be the third derivative of 1/12*t**5 + 0*t + 0*t**4 + 0 + 0*t**3 + 23*t**2. Determine c(k(s)).
-5*s**2
Let z(s) be the third derivative of 19*s**4/24 + 55*s**2 + 4. Let k(u) = -u**2. Calculate k(z(m)).
-361*m**2
Let h(p) = 3*p. Let u = 23 + -30. Let a be -1 + u/((-14)/6). Let n(k) = -93 + 93 + a*k**2 - 8*k**2. What is h(n(v))?
-18*v**2
Let i(w) = -7*w**2 - w + 0*w**2 + w. Let m(o) = o - 1. Let l(n) = 4*n - 6. Let k(v) = -l(v) + 6*m(v). Calculate k(i(f)).
-14*f**2
Suppose 0 = -4*c + 3*q - 22, 2*c + 0*q = -q - 6. Let a(v) = v. Let l(k) = -3*k. Let t(g) = c*a(g) - l(g). Let r(h) = -7*h**2. Give r(t(j)).
-7*j**2
Let s(x) = -7*x + 5. Let k(h) = -3*h + 2. Let f(m) = 15*k(m) - 6*s(m). Let v(o) = 5*o**2 + 1. Determine v(f(t)).
45*t**2 + 1
Let y(o) = 2*o**2. Let v(z) be the third derivative of -19*z**6/720 + z**4/24 + 2*z**2. Let j(c) be the second derivative of v(c). What is j(y(i))?
-38*i**2
Let q = -14 + 19. Let z(h) = q*h - 13*h + 6*h. Let x(n) = -10*n. Give x(z(m)).
20*m
Let b(q) = -214901*q. Let t(c) = -19*c**2. Give t(b(n)).
-877466356219*n**2
Let f(n) be the first derivative of -64*n**3 + 172. Let q(j) = -j**2. Calculate q(f(k)).
-36864*k**4
Let q(p) = -p**2 + 9*p - 9*p. Let j(z) = -33*z + 12. Let b(o) = 13*o - 5. Let i(k) = -12*b(k) - 5*j(k). What is i(q(d))?
-9*d**2
Let w(z) = -17*z. Let y(v) be the third derivative of 13*v**4/24 + 6*v**2 + 7*v. Calculate y(w(f)).
-221*f
Let x(s) = -256*s. Let l(z) = 3*z**2 - 2*z. Let q(d) = -10*d**2 + 6*d. Let m(g) = -6*l(g) - 2*q(g). What is x(m(p))?
-512*p**2
Let d(u) be the third derivative of u**2 + 0*u + 1/24*u**4 + 0 + 0*u**3. Let x(y) = 41 - 5*y - 41. What is x(d(n))?
-5*n
Let p(s) be the second derivative of s**3/2 + 4*s. Suppose 5*r = 25, 4*v = 2*v - 3*r + 19. Let q(y) = -v*y + 2*y + 7*y - 4*y. What is q(p(c))?
9*c
Let a(o) = o. Suppose 3*k + 4*k + 1827 = 0. Let d(v) = 25*v - 4. Let c(n) = -1624*n + 261. Let q(j) = k*d(j) - 4*c(j). What is q(a(z))?
-29*z
Let i(b) = -1 + 3*b + 1. Let k(g) be the third derivative of -g**6/720 + g**4/24 + 6*g**2. Let n(m) be the second derivative of k(m). Give i(n(x)).
-3*x
Let h(f) = -7*f. Let i(n) be the first derivative of 15*n**2 + 190. Determine i(h(g)).
-210*g
Let b(x) = -4*x. Let s(h) = h. Let d(o) = -13*o**2 - 4*o**2 + 17*o - 15*o. Let j(c) = -d(c) + 2*s(c). Calculate j(b(k)).
272*k**2
Let t(l) = 2*l**2. Let x(i) be the third derivative of -19*i**4/24 - 140*i**2. Determine t(x(g)).
722*g**2
Let z be -5 - (15 + -27) - 167/24. Let t(j) be the third derivative of -z*j**4 + 0*j + 0 + 2*j**2 + 0*j**3. Let k(a) = -4*a**2. Determine t(k(v)).
4*v**2
Let t(i) = -12*i. Let z(y) = -49*y**2 + 4*y + 4. Let w(q) = -196*q**2 + 18*q + 18. Let x(f) = -2*w(f) + 9*z(f). What is t(x(o))?
588*o**2
Let t(u) = 2*u**2 + 7*u - 2. Let i be t(-4). Suppose 2*c + 0*c - i = 0. Let y(m) = -1 - 4*m + c + 2*m. Let j(x) = -10*x. Determine y(j(a)).
20*a
Let v(m) = 9*m**2. Let w(y) = y**2 - 2*y - 901. Give w(v(g)).
81*g**4 - 18*g**2 - 901
Let k(j) = -2*j**2. Let p(w) = 2*w + 416 - 416 - 2*w - 177*w**2. What is k(p(o))?
-62658*o**4
Let l(w) = -2*w. Suppose -13*n + 0*n + 26 = 0. Let y(f) = 12 + 14*f**2 - 14 + n. Determine y(l(x)).
56*x**2
Let m(t) = -4*t**2. Let k(z) be the first derivative of 0*z**2 + 0*z - 3 - 1/3*z**3. Determine m(k(v)).
-4*v**4
Let n(z) = -3*z**2 + 3*z. Let w(r) = 6 + 7 + 5 - 18 + 2*r**2. Give n(w(i)).
-12*i**4 + 6*i**2
Let t(y) = 10*y**2. Suppose -5*v + 989 = -3096. Let z(k) = -2*k**2 - v*k + 817*k. Determine z(t(m)).
-200*m**4
Let a(w) be the first derivative of 0*w + 0*w**2 + 2/3*w**3 + 8. Let x(b) = 27*b**2. Calculate a(x(o)).
1458*o**4
Let x(j) = -j**2. Let b(w) be the first derivative of 0*w + 43 + 7/3*w**3 - 3*w**2. What is x(b(n))?
-49*n**4 + 84*n**3 - 36*n**2
Let m(j) be the third derivative of 0*j + 0 + 0*j**3 - 19/24*j**4 - 5*j**2. Let o(b) = -2*b**2 - 2*b**2 - b**2 + 4*b**2. Give m(o(l)).
19*l**2
Let p(g) = -34*g**2. Let c(k) = -15*k + 699. Determine c(p(v)).
510*v**2 + 699
Let u(t) = 2*t. Suppose 4*q + 29 = 37. Let z(m) = -281*m + 265*m + q - 2. Calculate z(u(r)).
-32*r
Let d(o) = o**2 + 3*o - 5. Let m be d(5). Let k(t) = -t - 4. Let z(l) = 10*l + 35. Let y(s) = m*k(s) + 4*z(s). Let v(n) = -n**2. Calculate v(y(a)).
-25*a**2
Let g(i) = 7*i**2. Let f(h) = 64*h**2. Let w(o) = -6*f(o) + 56*g(o). Let r(v) = -v. Give w(r(c)).
8*c**2
Let n(s) = 2*s. Let p(y) be the third derivative of -y**4/6 - 5*y**3/6 + 11*y**2 + 4. Give n(p(g)).
-8*g - 10
Let p(d) = -7*d. Let k = -68 + 74. Let j(v) = v. Let u(r) = k*j(r) + p(r). Let h(w) = 6*w. Determine u(h(i)).
-6*i
Let s(a) = 2*a. Let r(f) = 20*f + 1 + 23*f + 2 - 13*f + 34*f. Give s(r(i)).
128*i + 6
Let a(p) = 20*p**2. Let h(q) = 2*q - q - q - 4*q. What is h(a(y))?
-80*y**2
Let h(i) be the third derivative of i**4/3 - 33*i**2. Let a(n) = 10*n + 16*n - 33*n + 9*n. What is h(a(y))?
16*y
Let b(h) be the first derivative of -h**3/3 + 283. Let u(c) be the third derivative of 9*c**4/8 - c**2. Give u(b(x)).
-27*x**2
Let q(m) be the second derivative of m**3/3 - 11*m - 1. Let n(y) = 10*y**2 + 1. Calculate n(q(x)).
40*x**2 + 1
Suppose -4*g - 8 = -24. Let j(w) = -9*w + g*w + 9*w. Let q(u) = -5*u**2. Give j(q(a)).
-20*a**2
Let h(r) = -58546*r**2. Let j(z) = -2*z. Give j(h(g)).
117092*g**2
Suppose 2*z + 0*z = 2, -z + 265 = 3*d. Let b(r) = -1 + 89*r - d*r + 1. Let h(a) = 26*a. Give h(b(l)).
26*l
Let m(b) = -593*b**2 - b. Let x(v) = -94*v. What is m(x(p))?
-5239748*p**2 + 94*p
Let i(m) = 2*m**2. Let v = -49 + 57. Let f(s) = v*s + 2*s + s - 9*s. Determine f(i(q)).
4*q**2
Let n(d) = 1073*d. Let u(p) = -19*p + 6*p + 9*p - p + 6*p. What is u(n(h))?
1073*h
Let h(g) be the third derivative of -g**5/12 + 12*g**2 + 11*g. Let z(i) = -48*i**2. Determine h(z(x)).
-11520*x**4
Let g(r) = 11*r. Let x(m) = -4*m + 5. Let f(w) = 3*w - 4. Suppose -t = 2*a - 9, -3*a = 2*a - 3*t - 28. Let y(z) = a*f(z) + 4*x(z). Calculate g(y(p)).
-11*p
Let s(k) be the first derivative of 545*k**3/3 + 23. Let o(p) = -2*p. Calculate o(s(i)).
-1090*i**2
Let u(t) = -72*t - 1942. Let v(z) = 2*z. Calculate u(v(m)).
-144*m - 1942
Let m = 24 - 38. Let x(j) = -j**2 - 22*j - 31. Let z be x(m). Let s(d) = z + 7*d - 81. Let c(r) = -2*r. What is c(s(l))?
-14*l
Let q(v) = -2*v**2. Let h be (-2 + 2)/1 + 2. Let o(r) = 0*r**2 - 6*r**h - 28*r - 3*r**2 + 8*r**2. Give q(o(y)).
-2*y**4 - 112*y**3 - 1568*y**2
Let v(z) = -4*z - 11. Let w be v(-6). Let f(t) = -3*t**2 - w*t**2 + 9*t**2. Let c(i) = -2*i**2. Calculate f(c(r)).
-28*r**4
Let w(b) = -35*b**2 + 11*b. Let l(r) = -19*r**2 + 6*r. Let o(s) = 11*l(s) - 6*w(s). Let n(d) = -35*d**2. Give o(n(p)).
1225*p**4
Let o(p) = 2*p**2. Let s(j) = -2*j - 4. Let r(v) = -230*v - 552. Let b(l) = -r(l) + 138*s(l). Calculate b(o(m)).
-92*m**2
Let o(a) be the second derivative of 0 - 2/3*a**3 + 7*a + 0*a**2. Let m(n) = -5*n**2. Give o(m(r)).
20*r**2
Let d(j) = 21*j**2. Let h(b) = 2*b**2 + 2*b + 4. Let u be h(-2). Let w(g) = 13*g**2 - 7*g**2 - u*g**2. Determine w(d(z)).
-882*z**4
Let k(f) = -f**2. Let z(l) be the second derivative of -65*l**3/6 + 74*l. Calculate k(z(g)).
-4225*g**2
Let q(n) = 2*n + 129. Let r(u) = 24 + 4 - 28 - u. Calculate r(q(v)).
-2*v - 129
Let h(k) = -9*k**2. Let v(b) = 2*b**2 - 45*b - 40. Let w(a) = 3*a**2 - 72*a - 60. Let o(i) = 8*v(i) - 5*w(i). Calculate h(o(d)).
-9*d**4 + 360*d**2 - 3600
Let l(q) = 25*q**2. Let p(w) = 19754*w**2. Calculate l(p(m)).
9755512900*m**4
Let p(i) = -5 - 31*i - 3 + 8. Let v(m) = 2*m. What is v(p(s))?
-62*s
Let a(j) = 3*j - 10. Let t(s) = 2*s - 6. Let x(o) = 3*a(o) - 5*t(o). Let z(v) = -9*v**2 + 3*v. Determine z(x(g)).
-9*g**2 - 3*g
Let v(p) = 0*p**2 + 4*p*