2*g. Determine l(j(v)).
409374*v**2
Let d(l) = 28*l + 4*l + 11*l + 9*l - 43*l + 356. Let q(s) = -2*s. Determine q(d(a)).
-18*a - 712
Let f(i) be the third derivative of i**4/8 + 16*i**2. Let u(p) be the third derivative of 4*p**4/3 + 11*p**2 - 1. Calculate u(f(q)).
96*q
Let a(m) be the third derivative of m**7/2520 + 137*m**5/60 - 2*m**2 - 44*m. Let t(i) be the third derivative of a(i). Let b(c) = -194*c. Calculate t(b(y)).
-388*y
Let f(i) = -i**3 - 6*i**2 + 16*i + 7. Let c be f(-8). Let u(z) = 5*z + c*z - 13*z. Let p(t) = 2*t**2 - 11*t. Calculate p(u(q)).
2*q**2 + 11*q
Suppose 410 = 23*b + 19. Let w(n) = b*n + n**2 + 66 - 17*n + 74. Let i(t) = -t. What is w(i(k))?
k**2 + 140
Let m(o) = 122*o**2 + 10*o + 15. Let r(u) = 4088*u**2 + 336*u + 504. Let q(g) = 168*m(g) - 5*r(g). Let c(b) = -10*b. Give q(c(t)).
5600*t**2
Let n(t) = 39306223*t. Let l(j) = -4*j**2. What is n(l(a))?
-157224892*a**2
Let m(n) = 21*n + 1. Let x(r) = 6*r + 0*r - 6*r + 8*r - 9*r. Determine x(m(z)).
-21*z - 1
Let v(j) = -4*j + 24. Let h(f) = -f + 5. Suppose 5 = 39*m - 40*m. Let l(g) = m*v(g) + 24*h(g). Let c(n) = n**2 - n. Give c(l(r)).
16*r**2 + 4*r
Let f(u) = -u**2. Let v(z) be the first derivative of -1869*z**2/2 + 1640. Calculate f(v(y)).
-3493161*y**2
Let w(y) = 16*y**2 + 2 - 2. Let x(g) = g**2 + 4*g. Let z(d) = 3*d**2 + 18*d. Let s(q) = -9*x(q) + 2*z(q). Determine w(s(h)).
144*h**4
Let u(i) = -3*i. Let s(k) be the third derivative of 0*k + 0 + 5/12*k**4 + 0*k**3 - 23*k**2. Let n(g) = 2*s(g) + 7*u(g). Let w(c) = -33*c - 1. Give w(n(v)).
33*v - 1
Let r(g) = 12*g - 3. Let a(p) = 3*p - 4084. Determine a(r(h)).
36*h - 4093
Let m(b) be the third derivative of b**4/8 - b**3 + 7*b**2 + 141*b. Let v(f) = 1 - 1 - 1. Let x(r) = m(r) - 6*v(r). Let d(a) = 3*a. Determine x(d(p)).
9*p
Let u(r) = 86*r**2. Let v(p) = 3328*p**2. Give u(v(c)).
952500224*c**4
Let c(g) be the second derivative of 0*g**2 + 0*g**3 + 0 + 2*g + 1/12*g**4. Let l(i) be the second derivative of i**3 - 10737*i. Calculate c(l(b)).
36*b**2
Suppose 6*u - 90 = -5*z + 2*u, z + 4*u = 18. Let q(v) = 14*v. Let l(p) = -3*p. Let o(h) = z*l(h) + 4*q(h). Let f(d) = 31*d + 1. Give f(o(w)).
62*w + 1
Let i(b) = -18*b. Let y(l) = -318*l + 150*l + 159*l. Determine i(y(z)).
162*z
Let s(x) = 2*x + 42298. Let c(i) = -i**2 - 692. Calculate s(c(t)).
-2*t**2 + 40914
Let f(c) be the third derivative of -6 + 15*c**2 + 0*c + 1/24*c**4 - 10/3*c**3. Let y(x) = x**2. Calculate f(y(g)).
g**2 - 20
Let o(h) = -6*h. Let k(t) be the third derivative of 0*t**3 + 0 - 1/4*t**5 + 16*t**2 + 0*t**4 + 0*t. What is k(o(m))?
-540*m**2
Let n(w) = -10*w**2. Let x(b) = -20210*b + 131. Determine x(n(a)).
202100*a**2 + 131
Suppose -61*r + 59*r + 4 = 0. Let q(t) = -56*t**2 + 24*t**2 + 34*t**r. Let o(l) = -180*l**2. What is q(o(d))?
64800*d**4
Let d(q) be the second derivative of -q**7/315 + q**4 + 56*q. Let v(w) be the third derivative of d(w). Let z(c) = 20*c. What is v(z(m))?
-3200*m**2
Let c(d) = -15*d**2 + d. Let f(a) = -6833*a**2 - 4*a. Let s(n) = -4*c(n) - f(n). Let y(m) = -2*m. Give y(s(k)).
-13786*k**2
Let i(g) be the third derivative of 11*g**4/24 - g**2 + 76. Let y(b) = -b**2 - 8*b. What is y(i(v))?
-121*v**2 - 88*v
Let u(y) = -288003*y. Let l(p) = 19*p - 16. Give l(u(r)).
-5472057*r - 16
Let q(k) = 20*k - 164192. Let p(m) = m. Determine p(q(r)).
20*r - 164192
Let b(w) = -1040370*w. Let d(c) = 3*c + 17. Calculate d(b(j)).
-3121110*j + 17
Let h(c) = -3*c**2. Let p = -441 - -441. Let o(l) = 7 + p + 9*l - 16 + 7 + 18*l. Give o(h(z)).
-81*z**2 - 2
Let z(i) = 1676*i - 421*i - 416*i - 422*i - 422*i. Let u(r) = -946*r**2. Give z(u(s)).
4730*s**2
Let v(g) = 1501*g. Let t(p) = -2*p**2 + 1135*p + 1. Determine v(t(q)).
-3002*q**2 + 1703635*q + 1501
Let s(o) = 4951*o**2. Let l(u) = -2*u**2 - 35*u + 12*u + 34*u - 11*u. Give l(s(b)).
-49024802*b**4
Let m(x) = -3*x - 14. Let d(a) = -214044*a**2. Calculate m(d(s)).
642132*s**2 - 14
Let a(p) = p + 456. Let s(x) = x - 24*x + 22*x. Give s(a(k)).
-k - 456
Let x(u) = 27*u**2. Let a(k) = 46*k - 9*k - 2*k + 3 - 2*k - 16*k. What is a(x(d))?
459*d**2 + 3
Let z(i) = -2332*i + 6. Let j(f) = 2354*f - 5. Let o(s) = 6*j(s) + 5*z(s). Let x(r) = r. Give o(x(g)).
2464*g
Let b(c) be the first derivative of 21*c**2 - 72*c - 14. Let w(f) = 12*f - 20. Let y(z) = -5*b(z) + 18*w(z). Let n(i) = 26*i**2. Give y(n(u)).
156*u**2
Let i(b) be the third derivative of -41*b**5/60 - 18*b**2. Let g(p) be the first derivative of 0*p**2 + 0*p - 1/3*p**3 - 32. Calculate i(g(c)).
-41*c**4
Let h(m) = 8*m + 2*m - 3*m - 5*m. Let w(t) = 147*t**2 - 2. Give w(h(a)).
588*a**2 - 2
Suppose 2*n + n - 2 = -2*v, -4*v = 5*n - 2. Let g(z) = 19*z**n - 268 + 268. Let l(q) = -7*q**2. Give l(g(p)).
-2527*p**4
Let j(w) = w**2. Let n(v) = 2*v**2 - 4*v - 7. Let l(y) = -92*y**2 - 19*y + 42. Let x(h) = -l(h) - 6*n(h). Calculate x(j(r)).
80*r**4 + 43*r**2
Let q(x) = 7*x. Let h be ((-42)/84)/(2/4). Let o(n) = -n + 2*n - 2*n. Let a(p) = -6*p. Let j(l) = h*a(l) + 4*o(l). What is q(j(g))?
14*g
Let w(g) = 4*g. Let a(y) be the third derivative of -y**7/840 + 13*y**5/60 - y**3/3 - 15*y**2 - y. Let h(c) be the third derivative of a(c). Calculate h(w(z)).
-24*z
Let r(g) = 12*g. Suppose -22 = -17*u + 6*u. Let w(j) = -1 + 42*j**2 + 1 - 29*j**u. Calculate r(w(b)).
156*b**2
Let r(j) = -5*j**2. Let d = -59/1596 + 16/133. Let b(p) be the third derivative of 0 + d*p**5 + 22*p**2 + 0*p**4 + 0*p**3 + 0*p. Determine r(b(y)).
-125*y**4
Suppose 0 = -20*t - 218 + 618. Let r(v) = 6*v - t*v + 4*v + 9*v. Let j(k) = -37*k + 2. Calculate r(j(f)).
37*f - 2
Let o(j) = j. Let p(d) be the second derivative of -d**3/2 - d**2/2 - 12*d - 2. Let b(u) = -8*u + 11. Let m(s) = b(s) - 2*p(s). Give m(o(v)).
-2*v + 13
Let l(s) = 7 + 4 + 1 + 4 - 3*s - 19. Let n(z) = -3*z**2. Determine n(l(y)).
-27*y**2 - 54*y - 27
Let m(i) be the first derivative of -5*i**2 - i - 1958. Let f(v) = 26*v**2. What is f(m(r))?
2600*r**2 + 520*r + 26
Suppose 48*a - 647 = 265. Let i(o) be the third derivative of -a*o**2 - 1/12*o**4 + 0*o**3 + 0 + 0*o. Let c(h) = 115*h. Determine i(c(x)).
-230*x
Let a(c) = 40 - 159*c + 166*c - 34. Let m(i) = 5*i**2 - 8*i**2 + 0*i**2 + 5*i**2. Give m(a(h)).
98*h**2 + 168*h + 72
Let v(k) = -511 - 505 - 2963*k + 1527 - 511. Let p(n) = n. What is v(p(j))?
-2963*j
Let d(a) = -40*a. Suppose -6*r + 207 = 21. Let u(n) = n**2 + 3*n - 9. Let h be u(5). Let o(y) = -r*y**2 - h*y**2 + 64*y**2. Calculate o(d(j)).
3200*j**2
Let s(z) = -65*z**2. Let y(j) = -6465*j + 2151*j + 2158*j + 2158*j. What is y(s(c))?
-130*c**2
Let p(g) = 8*g - 5. Let f(i) = 97412*i. What is p(f(q))?
779296*q - 5
Let q(p) = 37 - 124 + 41 + 35*p + 46. Let f(w) = -9*w**2. Give q(f(z)).
-315*z**2
Let h(n) = -163437916*n. Let v(d) = 4*d. What is h(v(i))?
-653751664*i
Let s(o) = 107*o**2 + 2. Suppose 0 = -9*k + 19*k + 350. Let u(f) = -1820*f**2 - 35. Let i(c) = k*s(c) - 2*u(c). Let d(g) = g. What is i(d(w))?
-105*w**2
Let m(p) = 974*p**2. Let t(a) = 406*a**2. Give t(m(u)).
385162456*u**4
Let n(x) = 0*x + 0*x + 2*x. Let i(h) be the second derivative of 1/2*h**3 + 0*h**2 - 41*h + 0. Determine i(n(q)).
6*q
Let a(o) be the second derivative of 2*o**3/3 + 7*o**2/2 - o - 243. Let f(u) = -14*u. Determine f(a(b)).
-56*b - 98
Let j(r) = 103*r + 87. Let h(w) = -75*w - 63. Let t(v) = -29*h(v) - 21*j(v). Let i(c) = -1462*c**2. Calculate i(t(l)).
-210528*l**2
Let w(f) = 54*f - 284059. Let b(j) = 2*j**2. Calculate w(b(t)).
108*t**2 - 284059
Let x(h) = -117*h**2. Suppose -21 + 17 = -2*q. Let l(f) = 10*f - 9. Let g(j) = -j + 1. Let b(y) = q*l(y) + 18*g(y). What is b(x(k))?
-234*k**2
Let n(q) be the first derivative of q**3/3 - 2*q**2 - 1534. Let u(d) be the third derivative of d**5/30 - 3*d**2. Determine u(n(z)).
2*z**4 - 16*z**3 + 32*z**2
Let f(q) = 9*q + 2. Let o(b) = -25*b - 7. Let y(g) = -7*f(g) - 2*o(g). Let r(j) be the first derivative of -j**2 - 86. Calculate y(r(p)).
26*p
Let a(x) = -x**2. Suppose 5*y - 19*y = 56. Let f(n) = -1955*n. Let i(v) = 31*v. Let k(m) = y*f(m) - 253*i(m). Calculate k(a(r)).
23*r**2
Let z(n) = -n. Let b = -27 + -24. Let c = b - -53. Let a(h) = 50*h**2 + 3*h - 73*h**c - 3*h. Determine a(z(r)).
-23*r**2
Let j(f) = 3120*f - 13650. Let o(d) = -d + 14. Let p(i) = -2*j(i) - 1950*o(i). Let w(r) = -r**2. Determine w(p(c)).
-18404100*c**2
Let a(g