- 1. Let h(w) = -w - 2. Let c(b) = -4*b + 8. Let a(d) = 12*d - 15. Let v(g) = -2*a(g) - 5*c(g). Let z(u) = 5*h(u) - v(u). Give z(l(p)).
2*p**2 + 1
Let h(l) = 2*l**2. Let k(m) = 10*m**2 + 24*m**2 - 49*m**2 + 7*m**2 + 25*m**2 + 111. What is h(k(p))?
578*p**4 + 7548*p**2 + 24642
Let j(l) = 7*l**2. Let i(s) = 117695495*s**2. Determine i(j(v)).
5767079255*v**4
Let d(g) be the first derivative of g**2 - 13. Let k(j) be the second derivative of 0 - 11*j + 0*j**2 + 4/3*j**3. What is d(k(x))?
16*x
Let r(c) = -7*c + 2. Let p(x) = 4*x**2 + 2*x - 1. Let n(z) = 10*z**2 + 8*z - 4. Let m(q) = n(q) - 4*p(q). Give r(m(h)).
42*h**2 + 2
Suppose -d + 5099 + 3943 = 0. Let g(n) = -n + d - 9042 + 27*n. Let s(u) be the first derivative of u**2/2 - 2. Calculate g(s(p)).
26*p
Let m(o) = -5*o. Let t be (-2 - 0)/(-3 + -1). Let i(y) be the first derivative of 0*y - t*y**2 - 2. Give i(m(h)).
5*h
Let g(k) be the third derivative of -k**4/24 + 90*k**2. Let q(f) = -7 - 7 + 95*f**2 - 33*f**2 - 65*f**2. Give q(g(l)).
-3*l**2 - 14
Let u(m) = 2*m**2 - 496*m + 268. Let s(z) = 14*z**2. Determine u(s(v)).
392*v**4 - 6944*v**2 + 268
Let o(c) = 74 - 303 + 157 + 72 + 7*c**2. Let b(h) be the third derivative of h**5/10 - 3*h**2. Determine b(o(i)).
294*i**4
Let w(t) = -3*t. Let j(x) = -12*x**2 + 6*x + 27620. Give j(w(n)).
-108*n**2 - 18*n + 27620
Let x(m) = -1514*m**2. Let l(s) = -11060*s**2. What is l(x(b))?
-25351687760*b**4
Let q(i) = -2*i. Let o(h) = h**3 + 4*h**2 - 2*h - 3. Let j be o(2). Let y(w) = 0*w**2 + 26*w**2 - 20*w**2 - j*w**2. Calculate y(q(p)).
-44*p**2
Let o(b) = 47*b + 6. Let n(u) = -118*u - 15. Let d(p) = 4*n(p) + 10*o(p). Let h(x) = 4*x + 1124. Determine h(d(i)).
-8*i + 1124
Let f(b) be the second derivative of -b**4/12 - 13091*b. Let y(v) = 4187*v**2. What is y(f(z))?
4187*z**4
Let y(x) = 2*x + 49. Let q be y(-20). Suppose -s - r + q = s, -27 = -s + 4*r. Let k(p) = 5*p - s*p + 2 - 2. Let j(f) = 2*f**2. Calculate j(k(t)).
8*t**2
Let h(b) = -22*b**2 - 116532. Let q(n) = -n**2. Determine h(q(u)).
-22*u**4 - 116532
Let x(b) = -1 - 14*b + 1. Let n(q) = -q**2 - 3. Let c(m) = 7*m**2 + 27. Let t(u) = c(u) + 9*n(u). Calculate x(t(w)).
28*w**2
Let y(v) = 39227*v**2 - 1. Let g(x) = -6*x. What is y(g(m))?
1412172*m**2 - 1
Let d(r) = -20*r. Let w be d(3). Suppose 14 = 5*s - 1. Let j(i) = -5*i - 20. Let h(l) = -1. Let y(o) = s*j(o) + w*h(o). Let u(n) = 5*n. What is y(u(t))?
-75*t
Let h(g) = 7*g**2. Let z(v) = -v**2 - 4*v + 1. Let a(o) = 103*o**2 - 21*o + 5. Let d(y) = -a(y) + 5*z(y). What is d(h(j))?
-5292*j**4 + 7*j**2
Let m(h) = 6*h**2 + 14*h**2 - 20*h**2 + 6*h**2. Let d(l) = -139*l. Determine d(m(z)).
-834*z**2
Let d(t) = 75*t. Let y(o) = -1086320*o**2 + o. Calculate y(d(x)).
-6110550000*x**2 + 75*x
Let h(s) = -2*s. Let g(j) = -30104214*j + 3. Determine g(h(v)).
60208428*v + 3
Let a(c) = -17*c. Let m(r) = -13*r. Suppose 3 = 5*t + 3*v, 0 = 3*t - v - 17 + 4. Let s(w) = t*a(w) - 4*m(w). Let k(h) = -h**2 + 3*h. What is s(k(j))?
-j**2 + 3*j
Let v = 214 - 212. Let g(b) = -16*b**2 + 7 + 5*b**v + 7*b**2. Let o(p) = p**2. Determine o(g(i)).
16*i**4 - 56*i**2 + 49
Let t be (-38)/(-12) + 2/(-12). Let z(o) = -3*o + 4*o - t*o. Let n(k) = -277 - 70 + 21*k - 62 + 408. Calculate n(z(q)).
-42*q - 1
Let m(s) = -12*s**2 + 8522424 - 8522424 - 3*s**2. Let g(f) = -96*f**2. Calculate g(m(b)).
-21600*b**4
Let t(f) = -8*f + 36. Let b(s) = 14*s - 60. Let a(y) = -3*b(y) - 5*t(y). Let j(h) = 7*h + 101. Give j(a(u)).
-14*u + 101
Let a(y) = 7*y**2 - 4*y**2 - 2*y**2. Let i(w) be the first derivative of 203*w - 3*w**3 + 2*w**3 - 203*w - 20. Determine a(i(k)).
9*k**4
Let z(m) be the second derivative of -m**3 - 7*m - 3 - 7 - 4 + 12. Let q(j) = 14*j. Give q(z(g)).
-84*g
Let i(b) = -770*b. Let u(p) = 66134*p**2. Give u(i(t)).
39210848600*t**2
Let f = -3654 + 3658. Let c(a) be the third derivative of 0*a**3 - 1/24*a**f + 0 + 0*a - 4*a**2. Let n(t) = -9*t. Give c(n(j)).
9*j
Let c(w) be the first derivative of w**3/3 - 12861. Let q(p) = 17*p + 6. Let z(u) = -341*u - 121. Let n(h) = 121*q(h) + 6*z(h). Calculate c(n(y)).
121*y**2
Let m(f) be the third derivative of 1/60*f**5 + 0 + 0*f + 0*f**4 + 0*f**3 - 49*f**2. Let o(z) = -3*z**2 - 2*z**2 + 10*z**2. Determine m(o(v)).
25*v**4
Let z(p) = 115*p**2. Let b(j) = 73*j**2 - 23*j. Calculate b(z(a)).
965425*a**4 - 2645*a**2
Let u(f) = -27*f**2 - 5*f + 2. Let c(w) = -55*w**2 - 12*w + 5. Let l(a) = 2*c(a) - 5*u(a). Let d(z) = -8*z**2 + 0*z**2 + 6*z**2 + 6*z**2. Determine l(d(b)).
400*b**4 + 4*b**2
Let a(s) = 1994*s - 2. Let f(o) = 180*o - 9. What is a(f(r))?
358920*r - 17948
Let o(q) = -3*q. Let h(i) = -17 - 32 - 30 + 124 + 3*i + 184. Determine h(o(j)).
-9*j + 229
Let v(d) = 677*d - 55. Let i(g) = -444*g. What is v(i(w))?
-300588*w - 55
Let q(s) = -3*s**2. Let g(b) = 30182*b**2 - 2 - 15109*b**2 - 15195*b**2. Give g(q(o)).
-1098*o**4 - 2
Let m(p) = 1521*p. Let r(k) be the second derivative of -k**4/6 + 3369*k. Determine m(r(h)).
-3042*h**2
Let s(f) = -f**2 + 4. Let t be s(0). Let o(h) = -5 - 9*h + 1 + t. Let l(w) = -w + 16 - 16. Give o(l(y)).
9*y
Let n(y) = 25*y + 19*y - 98*y + 20*y + 19*y. Suppose -2*q + 24 = 2*q. Let k(s) = -12 + q - 3*s**2 + 6. Determine k(n(v)).
-675*v**2
Let t(i) = -243*i**2 + 15*i. Let b(u) = 5047 - 1337*u**2 - 5047 + 84*u. Let j(v) = -5*b(v) + 28*t(v). Let a(f) = f. Determine a(j(y)).
-119*y**2
Let z(r) = 18*r. Suppose 129 = 13*p + 103. Let i(m) = -3*m**p - 93*m + 93*m. What is i(z(s))?
-972*s**2
Let t(i) = -3*i. Let j(y) = 18906*y + 224. What is j(t(w))?
-56718*w + 224
Let j = 1 - -1. Suppose -j*l + 5*l = 2*i + 35, i = -4. Let h(g) = -l*g**2 - 3*g**2 + 10*g**2. Let r(t) = 4*t + 8. Calculate h(r(k)).
-32*k**2 - 128*k - 128
Let w(p) = -3205405*p**2. Let t(x) = 3*x**2. What is t(w(c))?
30823863642075*c**4
Let y(x) be the first derivative of -1343*x**2/2 + 1876. Let f(t) = -2*t. Determine y(f(j)).
2686*j
Let z = 333 + -195. Let n(r) = -70*r + z*r - 72*r. Let d(g) = -5*g**2. Calculate n(d(h)).
20*h**2
Let o(z) = z. Suppose 0 = -1144*s + 1132*s + 60. Let a(t) be the third derivative of 0*t**4 + 22*t**2 + 1/3*t**3 + 0 - 7/60*t**s + 0*t. What is o(a(h))?
-7*h**2 + 2
Let d(y) = 6*y. Let x = -228 - -279. Let b(m) = -3*m**2 + 51*m + 4*m**2 - x*m. What is b(d(g))?
36*g**2
Let s(u) = 896*u. Let z(h) = -11796*h. Give s(z(k)).
-10569216*k
Let g(r) be the second derivative of -5*r**4/24 - 199*r**2/2 + 156*r. Let k(l) be the first derivative of g(l). Let d(m) = -33*m. What is d(k(t))?
165*t
Let n(w) = -18*w**2. Let i(r) = -1213811*r. What is n(i(o))?
-26520068586978*o**2
Let t(o) = -12*o**2 + 7*o - 119. Let f(q) = -7*q**2 + 4*q - 68. Let c(u) = -7*f(u) + 4*t(u). Let s(h) = -3*h - 194. Determine c(s(g)).
9*g**2 + 1164*g + 37636
Let h = 58 - 50. Let o(t) = -8*t**2 + h*t**2 + 14*t**2. Let w(q) = -6*q**2. Calculate o(w(s)).
504*s**4
Let c(r) = r**2. Let a(f) = 207110982*f**2. Determine a(c(u)).
207110982*u**4
Let j(n) = 6*n - 13*n + 4*n + 2*n - 3 + 0*n. Let u(a) = -4*a - 4*a + 13*a. Give u(j(f)).
-5*f - 15
Let i(q) = -q**2 + 8*q - 11. Let j be i(5). Let r be (3 - 7)/j - -4. Let u(d) = -9*d + r*d - 4*d. Let b(v) = v**2. What is b(u(t))?
100*t**2
Let k(b) = -18*b. Let u(r) = r**2 - 6*r + 1. Let l(z) = -5*z**2 + 24*z. Let h(a) = l(a) + 4*u(a). What is k(h(x))?
18*x**2 - 72
Suppose 0 = -2*q - 3 + 515. Let i(h) = -82*h**2 + q*h**2 - 88*h**2 - 85*h**2. Let b(y) = 268*y**2. What is i(b(a))?
71824*a**4
Let o(t) = 23*t. Let k(c) = -5*c - 4. Let j = 1 + -8. Let r be k(j). Let a(q) = q**2 + 0*q**2 - 31 + r. Calculate o(a(f)).
23*f**2
Let d(h) = 3*h**2. Let x(w) = 11181*w + 2287*w**2 - 11181*w. Determine x(d(p)).
20583*p**4
Let p(m) = 4*m - 86 + 45 + 19 - 7*m. Let i(b) = 33*b. What is i(p(a))?
-99*a - 726
Let c(x) = -13*x + 4. Let n(o) be the first derivative of 20*o**2 - 14*o + 1. Let i(k) = -7*c(k) - 2*n(k). Let b(f) = f. What is b(i(d))?
11*d
Let o(z) = 98*z + 545. Let a(k) = -60*k + 12. What is o(a(h))?
-5880*h + 1721
Let u(t) = 6*t. Let a(b) = 0*b + 3*b - 5*b + b**2. Suppose -3*n + 3*g + 12 = 0, 2*n = -3*g - 0*g - 2. Let z(c) = c. Let w(y) = n*z(y) + a(y). What is w(u(q))?
36*q**2
Let w(s) be the first derivative of s**5/120 - 34*s**3/3 - 14. Let f(t) be the third derivative of w(t). Let j(b) = 9*b**2. Give f(j(z)).
9*z**2
Let v(i) = 2*i**2. Let g(c) be the third derivative o