.
90*l
Let k(z) = 25*z. Let v(a) be the second derivative of -a**6/90 + 7*a**3/6 + 5*a**2 - 242*a. Let r(s) be the second derivative of v(s). Calculate k(r(y)).
-100*y**2
Let o(t) = -3*t**2. Suppose -5*z + 0*z = -d - 144, z + d - 24 = 0. Let p(x) = -x**2 - 14*x + z - 14*x + 28*x. Calculate p(o(h)).
-9*h**4 + 28
Let a(b) = 19431538*b - 9715789*b - 9715777*b. Let f(n) be the second derivative of -5*n**3/6 - n. What is f(a(z))?
140*z
Let g(h) = -3*h. Let s(m) be the third derivative of -473*m**4/24 - 698*m**2. What is g(s(u))?
1419*u
Let f(y) = -61*y - 1761. Let p(s) = 67*s**2. Determine f(p(k)).
-4087*k**2 - 1761
Let d(u) = 5372176*u**2. Let r(q) = -4*q. Determine d(r(s)).
85954816*s**2
Let o(i) = 10217*i + 395. Let m(h) = -9*h. Determine o(m(w)).
-91953*w + 395
Let r(x) = 7561407*x**2. Let g(s) = 5*s**2. Calculate g(r(q)).
285874379098245*q**4
Let k(a) = -381*a + 125*a + 271*a. Let c(h) = 403*h. What is c(k(i))?
6045*i
Let d(w) = -w**2. Let p(o) = -18*o - 420889. What is p(d(q))?
18*q**2 - 420889
Let j(z) = -2*z**2. Let x(m) be the third derivative of -m**5/6 + 43*m**3/2 - 18*m**2. Let b(r) = -2*r**2 + 26. Let k(p) = -11*b(p) + 2*x(p). Give k(j(t)).
8*t**4 - 28
Let h(w) = -6 - 29 + 35 + 2*w. Let l(b) = 4*b - b - b - 5*b**2. Give l(h(p)).
-20*p**2 + 4*p
Suppose q = 7*d - 8*d + 3, 2*q - 9 = -3*d. Let w(x) = q - 5 - 6*x**2 + 2 + 3. Let j(k) = -11*k**2. What is j(w(a))?
-396*a**4
Let i(b) = -8*b. Let u(v) = 17*v**2 + 1317 + 8*v**2 + 1318 - 21*v**2 - 2617. Give i(u(d)).
-32*d**2 - 144
Let c(y) = y - 10. Let o(a) = -3*a + 11. Suppose 4 = 4*f + 4*d, -4*f + d + 13 = -4*d. Let v(n) = f*o(n) + 3*c(n). Let g(s) = -s**2. Give v(g(m)).
3*m**2 - 8
Let z(b) = 2143971*b**2. Let r(p) = 16*p**2. Give z(r(o)).
548856576*o**4
Let p = -130 - -189. Let c(u) = -125*u**2 + p*u**2 + 63*u**2. Let a(t) = -2*t. What is a(c(x))?
6*x**2
Let c(a) = -3662*a**2 + 10*a. Let q(o) = -7*o + 2. Give q(c(s)).
25634*s**2 - 70*s + 2
Let y(f) = 2*f + 878. Let i(u) = 462*u**2 + 20. Calculate y(i(m)).
924*m**2 + 918
Let b(h) be the first derivative of h**2/2 - 1. Let y(j) be the third derivative of 11*j**5/60 - 101228*j**2. What is b(y(a))?
11*a**2
Let m(c) = -4*c**2 + 13*c. Let a be (-2)/(-10) - (-7 - (-260)/50). Let f(v) = -21 + 52 + a*v - 31. Give m(f(b)).
-16*b**2 + 26*b
Let b(s) = -3*s. Let m be 0 - (-2 + (4 - 16)). Let u be 16/m + 8/(-56). Let n(h) = -1 + u + 19*h - 16*h. Calculate n(b(c)).
-9*c
Let f(b) = 2*b + 52. Let k(n) = -3*n - 51. Let s(v) = 4*f(v) + 5*k(v). Let x(j) = -2739050064*j - 2*j**2 + 2739050064*j. What is s(x(g))?
14*g**2 - 47
Let r(y) = 2*y. Let d be 2/(-6) - (-23)/69. Let h(o) = d*o - 9*o - 25*o. What is h(r(n))?
-68*n
Let l(b) = -b - 1551894. Let n(f) = -12*f**2 - 19*f. Give l(n(d)).
12*d**2 + 19*d - 1551894
Let f(r) = r. Let i(s) = -124877*s - 15. What is f(i(h))?
-124877*h - 15
Let y(t) = 308*t**2 + 1. Let f(o) = 11*o**2 + 512. Calculate f(y(d)).
1043504*d**4 + 6776*d**2 + 523
Let d(c) = -564*c**2. Let b(u) = -315899*u. Determine b(d(a)).
178167036*a**2
Let b(j) = -3*j. Let r(q) = -1729518*q**2 - 3*q + 1. What is b(r(k))?
5188554*k**2 + 9*k - 3
Let g(v) be the first derivative of v**3/3 + 93*v - 93227. Let k(u) = -7*u + 5. Let z(q) = 6*q - 4. Let l(w) = -4*k(w) - 5*z(w). Determine l(g(a)).
-2*a**2 - 186
Let z(t) = 7*t. Let c(a) = 8*a. Let u(w) = 6*c(w) - 7*z(w). Let o(r) = -686*r - 450*r + 1376*r. Calculate o(u(v)).
-240*v
Let l(t) = -t. Let x(z) = 123*z**2 + 35835*z + 4 - 35835*z + 517*z**2. What is x(l(m))?
640*m**2 + 4
Let b(f) = -515462*f. Let n(d) = -151*d**2. Determine n(b(g)).
-40120862090044*g**2
Let h(s) = s**2. Let j(n) be the third derivative of n**5/120 + 55*n**3/6 - 38*n**2. Let l(a) be the first derivative of j(a). Calculate h(l(y)).
y**2
Let t(o) be the first derivative of o**2 + 469*o + 1567. Let c(d) = -d**2. What is t(c(h))?
-2*h**2 + 469
Let h(b) = -99*b + 2. Let i(p) be the first derivative of 19*p**2/2 - 3*p + 4856. Give i(h(u)).
-1881*u + 35
Let f(z) = z**2 + 13524*z - 2. Let a(j) = 142*j**2. Determine f(a(r)).
20164*r**4 + 1920408*r**2 - 2
Let q be (-24)/(-10) - 44/110. Let x(d) = -11 - 10 - q*d + 0 - 7. Let o(w) = -w**2. What is o(x(a))?
-4*a**2 - 112*a - 784
Let f(u) be the first derivative of 11*u**2/2 + 7. Let o(y) = 11*y - 12. Let i(g) = -294*g + 322. Let w(h) = 6*i(h) + 161*o(h). Give w(f(r)).
77*r
Let q(w) = 10*w. Let g(z) = 821825*z. Calculate q(g(f)).
8218250*f
Let v(m) be the second derivative of m**3/3 + 3*m**2 + 69*m. Let q(c) = -c**2 - 3*c - 9. Let z(u) = 4*q(u) + 6*v(u). Let g(t) = 44*t. Calculate g(z(l)).
-176*l**2
Let z(s) = 52*s. Let l(y) = -65495*y**2. Calculate l(z(f)).
-177098480*f**2
Let d(c) = -1338*c**2. Let b(a) = -28*a. Give d(b(x)).
-1048992*x**2
Let r(f) = 5078391*f**2. Let w(t) = t**2. Determine w(r(z)).
25790055148881*z**4
Let w(m) be the first derivative of -m**3 - 271. Let v(n) = 34*n**2 + 33*n**2 - 29*n**2. What is w(v(b))?
-4332*b**4
Suppose 6*h = 7*h - 2. Let a(s) be the first derivative of -4 + h + 0*s**2 - 1 + 8*s**2. Let y(z) = z**2. Determine y(a(j)).
256*j**2
Let o(n) = -362*n**2. Let u(y) = -18*y + 252. Calculate u(o(r)).
6516*r**2 + 252
Suppose 4*y - 53 = -45. Let m(q) = 143*q**y + 140*q**2 - 285*q**2. Let c(g) = -9*g - 2. Calculate c(m(w)).
18*w**2 - 2
Let j(q) be the first derivative of 2*q**3/3 + 35*q + 23. Let n(t) be the first derivative of j(t). Let c(d) = 7*d**2 - 4*d. Calculate n(c(b)).
28*b**2 - 16*b
Let o(a) be the second derivative of a**4/4 + 38*a. Let v(i) = 133*i + 3. Calculate o(v(r)).
53067*r**2 + 2394*r + 27
Let l(c) be the second derivative of 2*c**3/3 - 5*c**2/2 - 2888*c. Let m(r) = 8*r. Determine l(m(w)).
32*w - 5
Let c(r) be the second derivative of 0*r**3 - 5/12*r**4 + 0 + 0*r**2 - 3*r. Let g(k) be the first derivative of k**2 - 39. Calculate g(c(j)).
-10*j**2
Let t(j) = -55489327*j**2. Let q(p) = 24*p. Calculate q(t(v)).
-1331743848*v**2
Let u(h) = -h. Let g(b) = b + 153370659. Calculate g(u(d)).
-d + 153370659
Suppose -2*c - 4 + 8 = 0. Let a(f) = 6*f**2 - 2*f**c - 6*f**2. Let y(m) = -22. Let d(s) = s + 77. Let v(w) = 2*d(w) + 7*y(w). Determine v(a(h)).
-4*h**2
Let h(g) = -6936*g. Let o(s) = 2852*s**2. What is o(h(p))?
137204289792*p**2
Let j(y) = -2*y**2 + 4*y. Let b(z) = 6*z**2 - 14*z. Let h(f) = 2*b(f) + 7*j(f). Let t(k) = -9623*k**2. Determine t(h(v)).
-38492*v**4
Let x(w) = 88*w - 3. Let l(i) be the first derivative of -4*i**3/3 + 2806. What is x(l(k))?
-352*k**2 - 3
Let d(r) = 5*r**2 + 4*r**2 + r**2. Let h(l) be the first derivative of -l**5/30 + 3*l**2 + 67. Let t(q) be the second derivative of h(q). Give d(t(p)).
40*p**4
Let r = 585 - 582. Let q(t) = r - 294*t - 2 - 1 + 295*t. Let z(l) = 14*l**2 + 9*l**2 + 6*l**2. Determine z(q(j)).
29*j**2
Let d(i) = -67*i + 35*i + 37*i. Let b(p) = -7*p**2 - 10570*p - 5 + 10570*p. Let o(k) = k**2 + 1. Let a(c) = b(c) + 5*o(c). Determine d(a(q)).
-10*q**2
Let n(o) = -35*o + 3. Let r(c) = -128*c + 11. Let x(b) = 22*n(b) - 6*r(b). Let g(s) = -s**2 + 225. Determine g(x(z)).
-4*z**2 + 225
Let a(q) = -97. Let n(i) = i - 142. Let v(g) = 3*a(g) - 2*n(g). Let w(p) = -2*p + 2*p + p. What is w(v(f))?
-2*f - 7
Let a(u) be the second derivative of 8*u**2 - 1/3*u**3 - 267*u + 0. Let x(w) = -3*w**2. Give a(x(k)).
6*k**2 + 16
Let d(z) = -144*z**2 - 107*z - 15. Let s(p) = 7*p**2 + 4. Determine d(s(f)).
-7056*f**4 - 8813*f**2 - 2747
Let t(o) = -2*o**2 + 94*o. Let l(c) be the second derivative of -2*c**3/3 - 76*c + 62. Calculate l(t(j)).
8*j**2 - 376*j
Let f(k) = -33*k + 55*k + 127 - 20*k - 53 + 80. Let s(b) = 4*b. Give f(s(v)).
8*v + 154
Let k(d) = -2*d**2 - 18*d. Suppose 48 = -15*r - 42. Let u(s) = 3*s. Let n(o) = r*u(o) - k(o). Let c(a) = -51*a. Give n(c(i)).
5202*i**2
Let g(b) = 8*b**2. Let p(r) = -81*r**3 + 2*r - 3. Let x be p(1). Let t = -79 - x. Let o(z) = 4*z**2 + 0*z**2 - t*z**2. Determine g(o(v)).
8*v**4
Let q(b) be the first derivative of -4262*b**2 + 4262*b**2 - 3*b + 51 + b**3. Let l(n) = 3*n**2. What is q(l(x))?
27*x**4 - 3
Suppose -20 = b - 5*k, 2*k - 6 = b - 1. Let y(f) = -1. Let r(s) = 2*s - 5. Let t(o) = b*y(o) - r(o). Let q(x) = -64794 - 8*x**2 + 64794. Determine t(q(w)).
16*w**2
Let t(u) = 2000*u + 1. Let k(y) = -y**2 - 175*y + 8. Give t(k(r)).
-2000*r**2 - 350000*r + 16001
Let n be 6/27*-3 - 859/3. Let d(x) = 77*x**2 + 5*x - 