- 5*a. Give k(j(p)).
2*p**2 - 1508*p
Let l(n) = 168*n**2 + 8*n + 27. Let t(d) = -42*d**2 - 2*d - 6. Let g(x) = -2*l(x) - 9*t(x). Let f(u) = u**2. Give g(f(q)).
42*q**4 + 2*q**2
Let a(q) = -q**2. Let f(w) be the third derivative of w**4/24 - 19*w**3/2 + 28*w**2. Calculate a(f(o)).
-o**2 + 114*o - 3249
Let x(t) = 3*t**2. Let i(f) = -1254951*f**2. What is i(x(m))?
-11294559*m**4
Let a = -134 - -223. Let r(z) = 2*z**2 + a*z - 89*z. Let x(d) = 13*d. Determine x(r(q)).
26*q**2
Let j(t) = -4*t. Let q(g) be the third derivative of -g**5/2 - 277*g**2. What is j(q(p))?
120*p**2
Let b(o) be the third derivative of -3*o**4/4 - 5*o**2 + 53*o. Let g(m) = -3*m**2 - 3*m**2 + 4*m**2. What is b(g(l))?
36*l**2
Let t(h) = -11*h. Let a(k) = -6*k**2 - 5*k. Let l(q) = 3*q**2 + 2*q. Let v(f) = f**2 - 8*f + 2. Let y be v(7). Let w(m) = y*l(m) - 2*a(m). Give t(w(r)).
33*r**2
Let t(q) be the second derivative of -33*q + 0*q**2 + 0*q**3 + 0 - 1/4*q**4. Let y(d) = 3 - d - 3. What is y(t(n))?
3*n**2
Let p(q) = -342*q**2 - 23*q. Let m(o) = -2*o. Determine p(m(z)).
-1368*z**2 + 46*z
Let w(i) be the second derivative of -5*i**4/12 + 12*i. Let r(s) = 7*s - 26*s + 6*s + 2*s. What is r(w(z))?
55*z**2
Let h(n) = -10654 + 10654 - 10*n. Let c(t) = -38*t**2. What is c(h(k))?
-3800*k**2
Let c = 74 - 44. Let a be (-2)/(-5) + 48/c. Let z(d) = -a*d - 3*d + 2*d. Let t(x) = 3*x. What is t(z(l))?
-9*l
Let v(q) = -414*q + 17. Let n(p) = 69*p - 3. Let l(y) = -34*n(y) - 6*v(y). Let w(z) = -z. What is w(l(u))?
-138*u
Let b(i) = -i**2. Let v(w) = -2*w**2. Let u(z) = 15*b(z) - 5*v(z). Let t = -98 - -98. Let g(r) = t + 0 - r. What is u(g(m))?
-5*m**2
Let v(b) = 2*b**2 - 107*b + 60*b + 47*b. Let p(d) be the first derivative of 1 - 7/3*d**3 + 0*d**2 + 0*d. Give v(p(h)).
98*h**4
Let h(c) = 16121*c**2. Let q(d) = 111*d. What is q(h(i))?
1789431*i**2
Let z(g) = 113*g. Let f(u) = -7*u + 1. Give f(z(q)).
-791*q + 1
Let a(g) be the second derivative of -35*g**4/12 - 37*g. Let q(b) = -b**2. Calculate a(q(o)).
-35*o**4
Let v(a) = -a + 2. Let h(x) = 3*x - 7. Let b(m) = -2*h(m) - 7*v(m). Let f(i) = 2*i + 90. Give f(b(w)).
2*w + 90
Suppose 0 = -8*y + 4 + 12. Let q(f) = y + 1 - 3 - 9*f. Let g(s) = -s. Calculate q(g(r)).
9*r
Let i(x) = -3*x**2 - 32*x. Let p(d) be the first derivative of d**2/2 - 62. Determine i(p(q)).
-3*q**2 - 32*q
Let o(u) = -188*u. Let c(r) = -5*r - 2. Let s(m) = -13*m - 6. Let t(d) = 6*c(d) - 2*s(d). What is t(o(k))?
752*k
Let h(o) = -4*o**2 + 2. Let t(u) = 5*u**2 - 3. Let a(v) = -3*h(v) - 2*t(v). Let y(p) = 182*p**2. Calculate a(y(q)).
66248*q**4
Let v(y) = -6*y - 6344. Let q(m) = -9*m. Calculate q(v(u)).
54*u + 57096
Let n(w) = -309 + 151 + 4*w - 9*w + 158. Let d(s) = 39*s**2 + 27. Let j(v) = 3*v**2 + 2. Let k(a) = -2*d(a) + 27*j(a). Calculate n(k(x)).
-15*x**2
Let p(n) = -203*n - 192*n - 193*n + 597*n. Let f(z) = 15*z**2. Give p(f(y)).
135*y**2
Let j(b) = -b**3 - b**2 + b - 1. Let q be j(0). Let f(v) = -6*v**3 + 2*v + 1. Let c be f(q). Let o(y) = c*y - 3*y - y. Let d(w) = 5*w. Calculate o(d(i)).
5*i
Let q(x) = 2*x. Let o = 9 + -5. Suppose -10 - 6 = -4*t. Let y(z) = -t*z + 4*z - o*z - z. Determine y(q(r)).
-10*r
Suppose t + 5*u + 12 = 0, -t = 4*t + 4*u - 24. Let o(r) be the first derivative of -7 - r**2 - 3*r + t + 3*r. Let d(z) = -3*z. Give o(d(m)).
6*m
Let o(v) = 4*v**2. Let j be ((-132)/(-18))/((-6)/9). Let x(a) = -3*a + 2. Let f(p) = -16*p + 11. Let r(b) = j*x(b) + 2*f(b). Calculate r(o(t)).
4*t**2
Let i(t) = 11*t**2. Let q(w) = -774*w**2 + 2. Calculate q(i(o)).
-93654*o**4 + 2
Let m(y) = 1. Let c(s) = -s + 1. Let q(z) = -c(z) + m(z). Suppose 5*x = -3*f + 3, 0*f - 21 = -3*x + 3*f. Let r(d) = 0 + 0 - 2*d + x*d. Determine q(r(b)).
b
Let y(x) = -8*x + 9*x - 4*x - 3*x. Let j(m) be the second derivative of -m**3/6 - m. Determine j(y(u)).
6*u
Let c(v) = -1145 - 1131 + 2*v + 2276. Let z = 0 + 2. Let k(b) = -2*b + 2*b + z*b**2. Determine k(c(i)).
8*i**2
Suppose 0 = 3*z + 1 - 7. Let s(d) = -17*d + 5 - 7 + z. Let j(w) = -2*w**2. What is s(j(t))?
34*t**2
Let w(g) = 671 - 671 + 9*g. Let y(p) = 6*p. Determine y(w(m)).
54*m
Let d(a) = -8*a**2. Let k(f) = 26*f + 14. Let i(s) = 130*s + 77. Let g(c) = 2*i(c) - 11*k(c). Calculate d(g(t)).
-5408*t**2
Let y(t) = 3*t + 17. Let x(v) = v + 6. Let c(z) = 17*x(z) - 6*y(z). Let f(w) be the first derivative of 3*w**2/2 - 14*w - 17. Determine c(f(r)).
-3*r + 14
Let k(p) = p**2. Let x(d) = -133*d**2 + 75*d**2 + 76*d**2. Calculate x(k(m)).
18*m**4
Let m(z) = -26*z. Let k(u) = -1016*u. Determine m(k(d)).
26416*d
Let a = 1360 - 970. Let h be (-2)/7 - a/(-42). Let c(r) = h*r - r + 3*r - r. Let d(v) = 2*v. Calculate d(c(m)).
20*m
Let y(q) = -730566*q. Let k(x) = -2*x. Give k(y(b)).
1461132*b
Let r(h) = 7*h**2. Let y(n) = 4*n**2 + n + 218. Calculate y(r(s)).
196*s**4 + 7*s**2 + 218
Let w(i) = 2*i. Suppose 12 = -2*b - 2*s, -5*b - s - 13 = 13. Let c be 10/(b*(-8)/140). Let t(p) = 35*p**2 - 65*p**2 + c*p**2. Determine t(w(z)).
20*z**2
Let g(l) = -80433*l**2. Let o(v) = 2*v**2. What is g(o(u))?
-321732*u**4
Let w(b) = -234246*b**2. Let f(y) = -4*y**2. Determine w(f(a)).
-3747936*a**4
Let a(r) = -5*r**2 + 4*r - 8. Let q(j) = 52*j**2 - 39*j + 78. Let t(s) = 39*a(s) + 4*q(s). Let b(m) = -31*m**2. Give b(t(p)).
-5239*p**4
Let h(v) = 13*v**2. Let d(m) = 5*m - 649. Calculate h(d(p)).
325*p**2 - 84370*p + 5475613
Let u(q) be the third derivative of 2*q**5/15 - 7*q**4/24 + 12*q**2. Let g(j) = -j. Give u(g(l)).
8*l**2 + 7*l
Let m(g) = g**2 - 3*g**2 + 5*g**2 - 2*g**2. Let z(h) be the first derivative of -8*h**3 - 2. Calculate z(m(x)).
-24*x**4
Let b(m) = -269162*m. Let i(x) = 2*x**2. Calculate i(b(u)).
144896364488*u**2
Let j(l) = 21*l + 1. Let o(x) = 51*x - 1. Give o(j(t)).
1071*t + 50
Let q(k) be the second derivative of -k**3/6 - 2*k. Let r(s) be the third derivative of s**4/8 + 4*s**2. Determine r(q(u)).
-3*u
Let u(j) = j. Let r(q) = 353*q**2 + 88*q. What is r(u(f))?
353*f**2 + 88*f
Let l(i) be the third derivative of 0*i + 0*i**3 + 0 + 7*i**2 + 1/24*i**4. Let w(b) = b**2. Let x(d) = d**2. Let a(v) = -w(v) - 4*x(v). What is l(a(n))?
-5*n**2
Let b(s) = -93*s. Let o(m) = 1449*m. Give b(o(g)).
-134757*g
Let q(a) = 11*a**2. Let g(m) = 150*m**2 + 3. Determine g(q(o)).
18150*o**4 + 3
Let m(a) = 0*a - 5*a + 0*a + 0*a. Let v(z) be the second derivative of z**3/6 + 7*z. Give v(m(c)).
-5*c
Let c(a) = -16*a**2. Let p(j) be the third derivative of j**5/60 + 5*j**3/3 - 2*j**2 + 168. Calculate c(p(h)).
-16*h**4 - 320*h**2 - 1600
Let c(u) = 2*u. Suppose 3*p = 4*l + 12, 6*p - 2*p + 12 = -4*l. Suppose -2 = a - 4. Let d(y) = 3*y**2 - y**a - 3*y**2 + p*y**2. What is c(d(r))?
-2*r**2
Let y(n) = -4*n + 3*n + 4*n. Let v(m) be the first derivative of -m**5/60 + 12*m**2 + 20. Let k(w) be the second derivative of v(w). Calculate k(y(j)).
-9*j**2
Let w(f) = -2*f. Let r(m) = 3*m + 5*m - 4*m - 3*m - 7. Calculate w(r(q)).
-2*q + 14
Suppose -u - u + 8 = 0. Let b(z) = 4 - z - u. Let g(c) be the third derivative of c**5/60 + 38*c**2 - 2. Determine b(g(l)).
-l**2
Let w(p) be the second derivative of -11*p**4/12 - 105*p. Let y(a) = -2*a**2. Give w(y(u)).
-44*u**4
Let k(q) = -7894*q**2. Let v(p) = -6*p. What is k(v(o))?
-284184*o**2
Let w(v) = 8*v. Suppose 0 - 4 = -2*t. Let u = 0 + t. Let a(z) = -3*z + z**2 - u*z**2 + 3*z. Calculate a(w(g)).
-64*g**2
Let l(j) = -47*j. Let p(q) = -q + 3. Let a(k) = 2*k - 8. Let h(n) = -3*a(n) - 8*p(n). Determine h(l(x)).
-94*x
Let r(v) be the third derivative of 13*v**2 + 0*v**3 + 0*v - 1/24*v**4 + 0. Let a(n) = -20*n**2. Determine r(a(j)).
20*j**2
Let x(d) = 2*d + 2. Let z(g) = g - 1. Let o(l) = -3*x(l) - 4*z(l). Let q(k) = 3*k**2. Calculate q(o(j)).
300*j**2 + 120*j + 12
Let s(v) = -1791*v - 1799*v + 3589*v. Let c(p) = -14*p. Calculate s(c(z)).
14*z
Let r(y) = 12*y - 75. Let g(n) = -12*n + 88. Let a(p) = 6*g(p) + 7*r(p). Let v(z) = 3*z**2. Determine a(v(x)).
36*x**2 + 3
Let c(i) = -1278*i**2 - 1. Let d(f) = -9*f. Calculate c(d(k)).
-103518*k**2 - 1
Let u(v) = -62*v. Let z(k) = 20115*k**2. Determine z(u(t)).
77322060*t**2
Let g(w) = w**2. Let t = 45 + -35. Suppose 0 = -6*z + t*z - 16. Let c(k) = -z*k - 2*k**2 - 6*k**2 + 4*k. What is g(c(p))?
64*p**4
Let y(t) = 2*t + 226. Let k(i) = -5003*i + 5003*i - i**2. Calculate k(y(j)).
-4*j**2 - 904*j - 51076
Let u(w) = -2*w**2. Let y(