*a. Let x(k) be the first derivative of y(k). Let j(r) = -2*r. Calculate x(j(o)).
2*o
Let l(n) = -52*n + 39*n + 1 - 2. Let j(w) be the second derivative of w**4/12 + 1314*w. What is j(l(v))?
169*v**2 + 26*v + 1
Let c(x) = -66*x + 96. Suppose 5*j + 3*i + 0*i = 13, j - 13 = 2*i. Let o(k) = 7*k - 10. Let z(m) = j*c(m) + 48*o(m). Let q(v) = 22*v. Determine z(q(u)).
132*u
Let j(g) = -15*g. Let c(w) = -2488860*w**2. Calculate c(j(o)).
-559993500*o**2
Let p(o) = 5379341*o - 2. Let r(f) = 2*f. Give r(p(j)).
10758682*j - 4
Let t(n) = 74*n - 38*n + 34*n - 5*n. Let d(i) be the first derivative of i**2 + 2. Calculate t(d(p)).
130*p
Let k(n) = -n**2. Let u(y) = -12*y + 9*y + y + 19. Let f be u(9). Let m(t) = 0 - 1 - 29*t + f. What is m(k(a))?
29*a**2
Let c(r) = -1635*r**2. Let a(d) = d**2 + 2*d - 3. Let y(k) = -8*k**2 - 12*k + 18. Let h(o) = -6*a(o) - y(o). What is h(c(g))?
5346450*g**4
Let m(u) = 2*u. Let v(q) = 2018*q**2 - 4978. Calculate v(m(t)).
8072*t**2 - 4978
Let o(r) = -111*r + 5211. Let k(i) = -5*i**2. Give o(k(x)).
555*x**2 + 5211
Let z(k) be the second derivative of -65*k**4/12 - 5*k**2/2 + 8717*k. Let l(t) = 7*t. Calculate z(l(o)).
-3185*o**2 - 5
Let j(h) = -2*h. Let p(c) be the first derivative of -343*c**2/2 - 12*c - 4391. What is p(j(g))?
686*g - 12
Let w(p) = -4*p. Let f(q) = 2844*q - 5680. Let r be f(2). Let m(z) be the first derivative of 0*z - r - 5/2*z**2. What is m(w(h))?
20*h
Let r(d) be the first derivative of 26*d**3 - d + 1115. Let l(y) = -4*y. Determine l(r(m)).
-312*m**2 + 4
Let t(d) = 12*d + 98*d - 102*d. Let o(u) = 273*u. Calculate o(t(a)).
2184*a
Let p(t) = -10*t**2. Let f(z) = 49*z**2. Let b(k) = -3*f(k) - 14*p(k). Let l(d) = 0*d**2 - d**2 + 10*d**2 - 4*d**2 - 9*d**2. What is l(b(s))?
-196*s**4
Let k(n) = 111*n**2. Let x(t) = -t**2 + 3*t. Let r(m) be the second derivative of m**3 + 160*m + 1. Let z(s) = r(s) - 2*x(s). What is z(k(a))?
24642*a**4
Let u(i) be the second derivative of i**4/12 - 24*i - 2. Let z(p) = -4*p**2 + 28. Let s(c) = -1. Let t(h) = 168*s(h) + 6*z(h). Give t(u(v)).
-24*v**4
Let d(p) = 61*p. Let t(o) = -100*o. Let q(j) = -5*d(j) - 3*t(j). Let v(b) = -108*b**2 + 2. Determine q(v(g)).
540*g**2 - 10
Let b(q) = 2*q**2. Let o(l) = -36256*l - 627. Let x(y) = 7251*y + 114. Let f(d) = -2*o(d) - 11*x(d). Give b(f(v)).
105096002*v**2
Let r(s) = -s**2. Let z(v) = -6712771*v. Calculate z(r(i)).
6712771*i**2
Suppose u - j - 6 = 0, 4*u - 5*j - 6 = 20. Suppose -u*l + 9*l = 435. Let n(p) = l - 174 - 20*p + 87. Let k(g) = -2*g**2. Calculate k(n(v)).
-800*v**2
Let v(k) = 42*k**2 + 51*k**2 - 231*k**2 + 44*k**2 + 48*k**2 + 40*k**2. Let t(d) be the third derivative of d**4/12 - 2*d**2. Determine t(v(a)).
-12*a**2
Let q(f) = 1492*f. Let u(m) = 25*m**2 - m + 2809. Determine u(q(i)).
55651600*i**2 - 1492*i + 2809
Let t(y) = 50*y. Let n(u) = -8 + 3 + 5 + 167*u - 59*u. Determine n(t(i)).
5400*i
Let t(c) = 1356*c + 3 + 7 - 1355*c - 10. Let x(n) = 174*n**2. Give x(t(i)).
174*i**2
Let b(t) = -7471*t - 94. Let z(r) = 134*r**2. Calculate b(z(i)).
-1001114*i**2 - 94
Let k(s) = -5*s. Let p(m) = -35*m - 19. Let n(f) = 40*f + 16. Let g(y) = -6*n(y) - 5*p(y). What is g(k(b))?
325*b - 1
Let t(c) = 2*c. Let i(v) be the third derivative of 108*v**5/5 - 633*v**2 - 3*v. Determine t(i(m)).
2592*m**2
Let s(f) = 151*f. Let b(k) = 13*k**2 + 6*k - 3. Let z(j) = -116*j**2 - 52*j + 26. Let i(u) = 26*b(u) + 3*z(u). Give s(i(w)).
-1510*w**2
Let j(i) = -13*i + 751. Let c(h) = -16*h - 6. Give j(c(l)).
208*l + 829
Let p(j) = -17*j**2 + 6*j + 1. Let n be 3/4*(9 - 209/33). Let w(m) = -m**2 + 3*m - 1. Let h(z) = n*w(z) - p(z). Let f(u) = -u. What is h(f(r))?
15*r**2 - 3
Let r(g) = 19*g. Let k(f) be the first derivative of -f**3 - 1088. What is r(k(c))?
-57*c**2
Let h(a) = -5370*a - 5382*a + 10670*a. Let u(z) = -3*z**2 + 3*z**2 + 0*z**2 + 2*z**2. Give h(u(m)).
-164*m**2
Let r(n) = -2*n. Let c(a) = -4425*a + 8843*a - 4374*a. What is c(r(h))?
-88*h
Let v(s) = 27*s**2. Let a(b) = 11*b + 232. Let f(x) = 5*x + 107. Let p(t) = 6*a(t) - 13*f(t). What is v(p(g))?
27*g**2 + 54*g + 27
Let d(f) = 2*f**2. Let q(n) = -97881*n**2 - 97659*n**2 - 3 + 196365*n**2. Calculate q(d(y)).
3300*y**4 - 3
Suppose 5*o = 2*o + 36. Let s(b) = 2*b + o - 12. Let h(u) be the first derivative of 5*u**2 + 46. Give s(h(v)).
20*v
Let v(y) = 2*y**2. Let p(o) = 2 - 3*o**2 + 0*o**2 + 0. Let r = 67 + 50. Let k(t) = -57*t**2 + 39. Let n(h) = r*p(h) - 6*k(h). Calculate n(v(c)).
-36*c**4
Let u(n) = 7*n - 7. Let z(w) = 18*w**2 + 72*w - 8. Let y(t) = 12*t**2 + 45*t - 5. Let l(j) = -8*y(j) + 5*z(j). Calculate u(l(h)).
-42*h**2 - 7
Let m(x) = x. Let l(i) = -11*i. Let w(q) = 2*l(q) + 14*m(q). Suppose a - 8*a = -14. Let p(b) = 942 - a*b**2 - 942. Determine p(w(k)).
-128*k**2
Let s(y) = -780*y - 31. Let q(v) = -73*v**2. What is s(q(t))?
56940*t**2 - 31
Let o(u) = -3024*u**2. Let x(c) = 7534*c + c**2 - 7534*c. What is x(o(v))?
9144576*v**4
Let v(w) = 2851310*w**2 - 40. Let t(i) = -i**2. What is v(t(p))?
2851310*p**4 - 40
Let o(a) = a + 1. Suppose 0*j + 1742 = j - 4*b, -4*b = -4. Let q = j - 906. Let m(f) = 2*f**2 - 840 + q. Calculate o(m(u)).
2*u**2 + 1
Let c(u) be the third derivative of -u**6/40 + u**5/120 + 275*u**3/6 + 26*u**2 + 3. Let o(w) be the first derivative of c(w). Let h(f) = 3*f. Give o(h(g)).
-81*g**2 + 3*g
Let n(c) = 33*c. Let r(u) = u. Let o be 964/(-22) - 2/11. Let b(h) = o*r(h) + n(h). Let a(k) be the first derivative of -k**3/3 + 2926. Give a(b(q)).
-121*q**2
Let h(c) = 16558849*c**2. Let v(d) = 14*d. What is v(h(l))?
231823886*l**2
Let a(u) = 12639*u. Let d(g) = -g + 1608. Determine a(d(j)).
-12639*j + 20323512
Let r(h) = -3*h**2 + 2*h - 13710. Let n(w) = 6*w. Give r(n(x)).
-108*x**2 + 12*x - 13710
Let l(i) = 30*i. Let h(j) be the first derivative of j**3 - j + 144. Give l(h(w)).
90*w**2 - 30
Let y(p) be the first derivative of 2*p**3 + 1349. Let j(t) = -5*t - 2. What is j(y(i))?
-30*i**2 - 2
Let p(m) = 2*m**2 + 66*m. Suppose -5*f - q = -0*q - 2462, -2*f + 5*q = -1001. Let j(k) = -242*k + f*k - 250*k. What is j(p(d))?
2*d**2 + 66*d
Let n(p) be the second derivative of 5*p**4/6 - p. Let t(s) be the first derivative of -s**2/2 + 5268. Determine n(t(z)).
10*z**2
Suppose 102*l = 107*l - 10. Let w(k) = -3*k**l + 5*k**2 - 10*k**2 - 7*k**2. Let d(f) = -5*f**2. What is w(d(c))?
-375*c**4
Let u(f) = -4138*f + 2. Let m(p) = -182*p. What is m(u(k))?
753116*k - 364
Suppose -4*c = -13*c + 5*u, 0 = -0*u - u. Let h(t) be the second derivative of c*t**2 + 0 + 1/3*t**3 + 33*t. Let f(p) = -113*p. Determine h(f(z)).
-226*z
Let w(k) = -21809*k**2 - 565*k + 565. Let r(g) = -3 + 130*g**2 - 19*g**2 + g + 3*g - g + 5*g**2. Let o(t) = -565*r(t) - 3*w(t). Let x(j) = -j**2. Give o(x(y)).
-113*y**4
Let r(w) = -w - 9. Let o(b) = -9635*b**2 - 6*b. What is o(r(u))?
-9635*u**2 - 173424*u - 780381
Let n(u) = -21*u - 2. Let h(t) = -t**3 - 9*t**2 - 14*t + 2. Let y be h(-2). Let r(z) = 2*z**y - 2*z**2 + 5*z**2 - 2*z**2. What is r(n(l))?
1323*l**2 + 252*l + 12
Let n(o) be the second derivative of o**5/120 + 74*o**3/3 + 48*o + 1. Let w(g) be the second derivative of n(g). Let r(y) = 63*y**2. What is r(w(x))?
63*x**2
Let h(w) be the second derivative of w**4/12 + 10*w. Suppose -4*m - 3*m = -28. Let y(i) = -23*i + m*i + 7*i. Give y(h(n)).
-12*n**2
Let d(t) = 285*t + 4. Let n(y) = -62*y - 1. Let l(u) = d(u) + 4*n(u). Let s(a) = -16*a + 44. Let c(b) = b - 3. Let o(m) = -88*c(m) - 6*s(m). Calculate l(o(j)).
296*j
Let w(d) = d**2. Let z(t) be the first derivative of -8*t**3/3 + t + 522. Give w(z(n)).
64*n**4 - 16*n**2 + 1
Let k(b) = -4*b**2 + 5*b - 5. Let w(n) = -3*n**2 + 4*n - 4. Let y(i) = 4*k(i) - 5*w(i). Let l(z) = -916*z**2 + 908*z**2 + 178*z - 178*z. Give y(l(f)).
-64*f**4
Let c(d) = -2*d**2. Let q(z) = -z + 135736. Calculate q(c(y)).
2*y**2 + 135736
Let x(u) = 195*u**2 - 143*u. Let z(w) = 8*w**2 - 6*w. Let n = -75 + 69. Let s(t) = n*x(t) + 143*z(t). Let d(f) = -6*f. Give s(d(c)).
-936*c**2
Let v(j) = -4*j**2 + 220*j. Let d(h) = -h + 706. Give v(d(m)).
-4*m**2 + 5428*m - 1838424
Let s(b) = 38*b - 1. Let h(i) = 466*i**2 + 463*i**2 + 464*i**2 - 1391*i**2. Give s(h(d)).
76*d**2 - 1
Let t(x) = -121*x. Let b(p) = -1308*p + 8. What is t(b(j))?
158268*j - 968
Let s(h) = 38*h + 32. Let r(f) = -f**2 + 2865*f. What is r(s(g))?
-1444*g**