k)).
1682*k**2 - 348*k + 18
Let s(y) be the second derivative of y**3/3 + 7*y. Let w(n) = 3*n - 3. Let o(h) = 16*h + 12. Let d(i) = 5*o(i) + 20*w(i). Determine d(s(a)).
280*a
Suppose 9*i + 782 = 4778. Let f(r) = -377 + 658 + r - i. Let k(n) = 2*n**2. Calculate f(k(v)).
2*v**2 - 163
Let t(d) = 12*d**2 + 4*d. Let s(b) = -4*b**2 + 2*b - 3. Let l be s(1). Let j(f) = -13*f**2 - 5*f. Let r(u) = l*t(u) - 4*j(u). Let o(x) = -9*x. What is r(o(w))?
-648*w**2
Let p(i) = -5*i + 4. Let z(h) = 14*h - 11. Let b(u) = 11*p(u) + 4*z(u). Let k(c) = 23*c - 573 + 573. Calculate k(b(m)).
23*m
Let q(z) = 20*z**2. Let f(x) = -20*x**2 - 39*x + 3. Let t(a) = 561*a**2 + 1105*a - 85. Let h(i) = -170*f(i) - 6*t(i). What is q(h(n))?
23120*n**4
Let y be (-6)/42 - (-108)/21 - -4. Let t(r) = y*r**2 + 26*r**2 - 38*r**2. Let z(a) = -55*a**2. Determine z(t(p)).
-495*p**4
Let k be 10/8*(-6)/15*-346. Let c(w) = k*w - 175*w + 1 - 1. Let t(q) = -50*q. Give c(t(y)).
100*y
Let a(p) = -4*p**2 - 10*p**2 + 23*p**2. Let f(z) = -50*z. Give a(f(v)).
22500*v**2
Let l(s) = -122*s - 14. Let m(x) = -18*x - 2. Let n(h) = 8*l(h) - 56*m(h). Let i(q) = 14*q - 2. What is i(n(j))?
448*j - 2
Let l(j) = -7*j + 3. Let q(n) = 6*n - 3. Let o(f) = 3*l(f) + 3*q(f). Let v(y) = -5*y**2 + 6*y**2 - 3*y**2. What is v(o(b))?
-18*b**2
Let h(x) = -108*x**2. Let m(p) = 5*p**2 - 26*p + 26. Let n(s) = -2*s**2 + 10*s - 10. Let y(i) = 5*m(i) + 13*n(i). What is y(h(a))?
-11664*a**4
Let u(j) = -2154*j**2 + 3647. Let m(y) = y. Calculate m(u(a)).
-2154*a**2 + 3647
Let m(f) = -648685*f. Let b(c) = 9*c**2. Determine m(b(z)).
-5838165*z**2
Let r = -790 - -793. Let o(t) = -9 + r + 6 - 2*t + t. Let q(z) = 3*z. What is o(q(d))?
-3*d
Let p(w) be the first derivative of 4*w**3 - 2*w + 1. Suppose -190144 = -7*t + 5296. Let c(o) = 0*o + o - t + 27920. What is p(c(f))?
12*f**2 - 2
Let l(h) = -h**3 - 17*h**2 + 16*h + 23. Suppose -22 = 3*u + 32. Let w be l(u). Let g(p) = w*p - 1 + 7 - 6. Let f(a) = -a**2. Determine g(f(k)).
-59*k**2
Suppose -2*y + 3 = -5. Let o(t) = y*t - 2*t - 3*t. Let g(w) = 141620*w - 1 - 283323*w + 141702*w + 1. Determine o(g(u)).
u
Let t(r) = -58*r**2 - 5*r + 35. Let w(m) = 408*m**2 + 34*m - 238. Let c(u) = 34*t(u) + 5*w(u). Let b(x) = 4*x**2. Determine c(b(a)).
1088*a**4
Let z(l) = 3*l**2 + 3*l - 50. Let q be z(5). Let o(i) = -37*i - 6 + q*i + 1. Let g(w) = -w**2. Determine g(o(b)).
-9*b**2 + 30*b - 25
Let t(k) = 8*k + 276136 - 276136. Let b(n) = -n**3 - 2*n**2 - n - 1. Let s be b(-2). Let p(l) = s - 1 + 2*l. Give t(p(m)).
16*m
Let y(a) be the second derivative of 119/6*a**3 + 0 + 0*a**2 + 36*a. Let n(d) = 2*d. Calculate n(y(m)).
238*m
Let v(l) be the third derivative of 0*l**3 + 0*l + 112*l**2 + 0 - 1/24*l**4. Let d(c) = -302*c. Give v(d(a)).
302*a
Let n(w) = 2*w. Let r(u) = -3*u**2 - 41*u + 43551. Determine n(r(z)).
-6*z**2 - 82*z + 87102
Let v(h) be the first derivative of 0*h + 1/2*h**2 - 59. Let c(p) be the third derivative of -p**4/8 + p**3/6 - 9*p**2. What is c(v(t))?
-3*t + 1
Let z(p) = -4*p**2 + 2450228*p + 2. Let k(f) = -4*f. What is z(k(h))?
-64*h**2 - 9800912*h + 2
Let q(l) be the second derivative of l**4/6 + 23*l + 49. Let m(w) = -3*w**2 - w. Determine m(q(u)).
-12*u**4 - 2*u**2
Let v(u) = -3*u. Let m(d) = -2*d**2 - 30*d - 68. Let o be m(-12). Let s(i) = -6 - 13*i + o + 11*i. What is v(s(h))?
6*h + 6
Let x(i) = 221*i. Let z(n) = 13*n + 150. Determine x(z(v)).
2873*v + 33150
Let a(u) = 4*u. Let r(g) = -26391*g + 26391*g - 1491*g**2. Determine a(r(c)).
-5964*c**2
Let s(z) be the second derivative of -z**4/6 - 7*z**2/2 - 3*z + 384. Let h(y) = y. Determine h(s(v)).
-2*v**2 - 7
Let d(r) = -41*r**2 - r. Let q = 38 + -37. Let f(g) = -q + 1 + 90*g - 92*g. What is d(f(v))?
-164*v**2 + 2*v
Let j(i) = 10*i. Let t(d) = -6. Let b(k) = -1. Let a(z) = -8*b(z) + t(z). Let p(x) = -73 - 7*x - 74 + 6*x + 146. Let n(m) = -a(m) - 2*p(m). What is j(n(q))?
20*q
Let j(b) = 4*b - 1. Let i(v) be the first derivative of 15*v**2/2 + 466. What is i(j(m))?
60*m - 15
Let c(g) = 2*g**2. Let q(y) = -3*y**3 - 12*y**2 - 7*y + 4. Let l be q(-4). Let a(j) = -l*j + 42*j - 249*j. Calculate c(a(t)).
114242*t**2
Let l(c) = -6*c + 27924. Let o(r) = 86*r - 3. Calculate o(l(j)).
-516*j + 2401461
Suppose 10*j - 10 = 50. Suppose c + 2*y = -2*c - j, 0 = 2*y + 6. Let z(t) = 0*t + t + c*t. Let w(m) = -4*m**2. Determine w(z(v)).
-4*v**2
Let a(y) = -13*y. Let n be (170/18)/((-330)/(-792))*3/2. Let j(k) be the first derivative of 3/2*k**2 + 0*k + n. Calculate a(j(l)).
-39*l
Let z = -13 + 13. Let a(k) = z*k**2 - 45*k + 58*k + 2*k**2. Let m(r) = r. Let i(q) = 5*q. Let n(y) = -2*i(y) + 11*m(y). Calculate n(a(f)).
2*f**2 + 13*f
Let t(u) = -2*u**2. Suppose 301 = 6*k - 137. Let j(m) = 66*m + k - 14*m - 71. Calculate t(j(w)).
-5408*w**2 - 416*w - 8
Let n = 488 + -445. Let u(z) = z**2 + z + 6*z - n*z + 11*z. Let j(b) be the second derivative of -b**4/6 + 5*b. What is j(u(l))?
-2*l**4 + 100*l**3 - 1250*l**2
Let p(y) = -9*y - 40. Let o(k) = k + 5. Let m(b) = -5*o(b) - p(b). Let g(c) = 10*c + 35. Let u(i) = -3*g(i) + 7*m(i). Let s(q) = 59*q**2 - q. Calculate u(s(a)).
-118*a**2 + 2*a
Let d(v) = 5*v**2. Let p(q) = -823757*q. Give p(d(t)).
-4118785*t**2
Let y(x) = x + 1012062. Let k(h) = -11*h. Give k(y(w)).
-11*w - 11132682
Let g(s) = -327*s**2 + 1. Let i(z) be the third derivative of -z**4/24 - 2398*z**2. Determine i(g(b)).
327*b**2 - 1
Let c(d) = -2123*d**2 - 5. Let w(l) = 124*l + 4. What is w(c(p))?
-263252*p**2 - 616
Let b(t) = -76*t**2. Let o(a) = -153334*a. Give o(b(c)).
11653384*c**2
Let b(n) = -1273*n + 193. Let o(h) = 636*h - 90. Let w(k) = -7*b(k) - 15*o(k). Let l(f) = f**2. Give l(w(m)).
395641*m**2 + 1258*m + 1
Let w(r) = -2*r**2 + 14. Let x(d) = 80*d - 24. Let f(z) = -7*z + 2. Let l(y) = 24*f(y) + 2*x(y). Calculate l(w(g)).
16*g**2 - 112
Let t(f) = -2*f + 182661. Let u(s) = 245*s. What is t(u(r))?
-490*r + 182661
Suppose 52 = 5*y - 13. Let v(r) = -2*r + 2 + y*r - 2. Let g(h) = -5 - 25 + 30 + 2*h. Determine g(v(l)).
22*l
Let j(v) = 1802*v**2 - 4*v + 2. Let k(c) = -37*c**2. Calculate j(k(g)).
2466938*g**4 + 148*g**2 + 2
Let v(w) = -w**2 - 2*w + 17. Let p be v(-5). Suppose 3*o - 25 = -p*q - 3*q, 5*q + 5 = 3*o. Let s(c) = q*c + 11 - 11. Let i(m) = 2*m**2. Determine i(s(h)).
8*h**2
Let x(i) = 3*i**2. Let k(a) be the second derivative of 0*a**2 - 61/6*a**3 - 1/12*a**4 + 20*a + 0. What is x(k(g))?
3*g**4 + 366*g**3 + 11163*g**2
Let s(t) = -6*t**2. Let f be (-30)/(-50) + (((-21)/(-5))/(-7))/1. Let b(q) be the second derivative of f*q**2 + 0 - 3/2*q**3 + 24*q. Give b(s(w)).
54*w**2
Let u(w) = 2*w**2. Let s(x) be the third derivative of 0*x**4 + 247/30*x**5 + 63*x**2 + 0*x + 3 + 0*x**3. What is u(s(a))?
488072*a**4
Let t be (5/(-2))/(3/(-6)). Suppose -7*d - t = -26. Let z(l) = -d*l**2 - 5*l**2 + l**2. Let g(k) = -k**2. Determine g(z(r)).
-49*r**4
Let g(u) be the second derivative of u**4/12 - 10*u. Let f(b) be the third derivative of b**5/30 - 43*b**4/24 - 2*b**2 - 153*b. Calculate g(f(r)).
4*r**4 - 172*r**3 + 1849*r**2
Let h(v) = 19*v + 45. Let l(g) = -3*g - 9. Let t(j) = -3*h(j) - 15*l(j). Let b(q) be the third derivative of -7*q**4/12 - 3*q**2. Determine t(b(x)).
168*x
Let k(t) = 14*t**2 + 2*t. Let l(s) = 19*s + 139. Calculate l(k(x)).
266*x**2 + 38*x + 139
Let r be (-16)/(-9) - 2/(-9). Let b(u) = -6 - r*u + 6. Let k(q) = 106*q - 38*q - 37*q - 33*q. Calculate b(k(d)).
4*d
Let y(i) = 38971*i. Let f(u) = -5*u + 95. What is f(y(t))?
-194855*t + 95
Let g(t) = -3*t. Let w(l) = 1454*l - 271. Determine w(g(c)).
-4362*c - 271
Let r(m) = -356*m**2 + 1497 - 745 - 753. Let h(i) = -4*i. Calculate r(h(f)).
-5696*f**2 - 1
Let n(y) = -4*y + 6*y - y + 0*y. Let q(w) be the first derivative of -18*w - 1/2*w**2 + 4. Determine q(n(i)).
-i - 18
Let b(r) be the first derivative of -22*r**3/3 - r + 2. Let a(g) = -2*g**2 + 24*g - 62. Let z be a(8). Let n(y) = -7*y + 2*y + 4*y - y**z + y. What is b(n(u))?
-22*u**4 - 1
Let n = -229 + 231. Let t(f) = 30*f + 105. Let s(i) = 3*i + 10. Let z(d) = n*t(d) - 21*s(d). Let v(j) = -21*j**2. Calculate z(v(y)).
63*y**2
Let r(m) = 4*m. Let d(i) = -226490*i**2 - 21*i + 3. Give r(d(x)).
-905960*x**2 - 84*x + 12
Let x(k) be the first derivative of -41*k**2/2 - 464. Let y(h) = 37*h**2 + h. What is y(x(q))?
62197*q**2 - 41*q
Let a(p) = -3*p**2 + 