(v). Calculate a(r(q)).
12*q + 53
Let h(q) = q. Let b(o) = -12957653*o. Calculate b(h(j)).
-12957653*j
Let j(n) = 28*n - 2137. Let d(s) = -912*s. Determine j(d(h)).
-25536*h - 2137
Let a(v) = -7*v. Let d(m) be the second derivative of -1/8*m**4 + 0*m**3 + 0 + 5*m + m**2. Let y(h) be the first derivative of d(h). What is y(a(c))?
21*c
Let y(g) = 31*g - 47. Let j(v) = 97476*v. Determine y(j(h)).
3021756*h - 47
Suppose -5*d + 48 = 3*d. Suppose 2*a = -5*q + 11, -11 = -5*q + a + d. Let b(m) = -1272 + 1272 + q*m. Let c(s) = 22*s. Give b(c(n)).
66*n
Let t(k) = 46*k - 35. Let g(a) = 24*a - 19. Let b(y) = -11*g(y) + 6*t(y). Let q(w) = 49*w**2 - 94*w**2 + 44*w**2. What is b(q(z))?
-12*z**2 - 1
Let q(g) = -2*g**2 + 99. Let u(v) = 5*v**2 - 10*v + 5. Let x(z) = 2*z**2 - 8*z + 4. Let m(y) = -4*u(y) + 5*x(y). Give m(q(o)).
-40*o**4 + 3960*o**2 - 98010
Let j(o) = -17*o + 36. Let b(v) be the first derivative of -v**3/3 - 39. Give j(b(x)).
17*x**2 + 36
Let i be 4 - (1 - (-4 + 3)). Let f(j) = -320*j + 2*j**i + 320*j. Let m(r) be the first derivative of r**3/3 - 7. Determine m(f(n)).
4*n**4
Let z(j) be the first derivative of 5*j**2/2 + 452. Let l(u) = -15*u - 3. Let h(s) = -30*s - 7. Let x(a) = 3*h(a) - 7*l(a). Determine x(z(m)).
75*m
Let l(s) be the second derivative of s**6/80 - 113*s**4/6 + 43*s + 3. Let m(a) be the third derivative of l(a). Let h(p) = 30*p**2. Determine m(h(g)).
270*g**2
Let p(n) = -1152796*n. Let s(h) = 3*h**2 - 14. What is p(s(f))?
-3458388*f**2 + 16139144
Let q(l) = -8*l + 79 - 5*l - 151 + 77 + 0*l. Let z(u) = 2*u**2. Calculate q(z(t)).
-26*t**2 + 5
Let u(h) be the first derivative of h**2/2 - 4895. Let v(o) = -o**2 - 44. Give v(u(f)).
-f**2 - 44
Let y(l) = -l**2. Let a(u) = -28207904*u. What is a(y(i))?
28207904*i**2
Let j(x) be the first derivative of 27*x**2/2 - 199. Let d(k) = 4*k**2. Determine d(j(o)).
2916*o**2
Let h(b) = -7*b. Let z(c) = 10825266*c**2. What is h(z(d))?
-75776862*d**2
Let r(v) = 357*v + 1. Let d(w) = -620*w + 49*w + 568*w. Determine r(d(z)).
-1071*z + 1
Let h(f) = 103*f + 128*f - 285*f + 117*f. Let r(j) = -3*j + 4*j + j. Determine r(h(x)).
126*x
Suppose 5*s = 2*s + 21. Suppose 238*h + 111 = 2015. Let i(p) = -s + 5 - h + 12 + 5*p. Let o(l) = -l. Calculate i(o(w)).
-5*w + 2
Let n(v) be the third derivative of 0 + 0*v + 1/24*v**4 - 35*v**2 - 2/3*v**3. Let x(c) = 1. Let j(t) = n(t) + 4*x(t). Let b(k) = -57*k. What is b(j(w))?
-57*w
Let l(o) be the first derivative of -2*o**3/3 - 6. Suppose -4*y + 2*z = -38, -2*y = -y - 3*z - 22. Let c(s) = 2133 + 11*s**2 + y*s**2 - 2133. Calculate l(c(i)).
-648*i**4
Let p(u) be the third derivative of -97*u**7/1260 + 53*u**4/8 + 117*u**2. Let s(l) be the second derivative of p(l). Let x(c) = -2*c. What is s(x(z))?
-776*z**2
Let u(j) = -16*j**2 - 16*j - 16. Let h(v) = -5 - 68*v**2 + 22*v**2 + 19*v**2 - 5*v + 21*v**2. Let o(n) = -16*h(n) + 5*u(n). Let r(y) = 2*y. Determine o(r(m)).
64*m**2
Let m(k) be the first derivative of -9/2*k**2 + 147 + 0*k - 4/3*k**3. Let x(u) = -4*u. Calculate x(m(a)).
16*a**2 + 36*a
Let t(c) be the third derivative of -c**4/24 - 67*c**2. Let p(i) = -i**2 + i. Let o(w) = -22*w**2 + 4*w. Let x(u) = -o(u) + 6*p(u). What is x(t(n))?
16*n**2 - 2*n
Let t(d) = d**2 - 2*d. Let k(m) be the first derivative of -10*m**3/3 + 3*m**2 + 91. Let u(x) = -2*k(x) - 22*t(x). Let v(w) = w. What is v(u(f))?
-2*f**2 + 32*f
Let n(r) be the second derivative of -4*r**4/3 - 288*r. Let c(k) be the second derivative of 0 + k + 0*k**2 + 1/3*k**3. Determine n(c(u)).
-64*u**2
Let m(h) = 187 + 42 + 117*h**2 + 112*h**2 - 230*h**2 - 30. Let k(t) = -2*t**2. Calculate m(k(f)).
-4*f**4 + 199
Let q(z) = -11*z**2. Suppose -48 + 8 = -5*d. Let u(l) = -300 - d*l + 300. What is q(u(k))?
-704*k**2
Let g(t) = 67*t + 21. Let r(m) = -5*m**2 - 207*m. Determine g(r(l)).
-335*l**2 - 13869*l + 21
Let k(q) = q**2. Let x(p) = 31 + 2*p**2 + 3*p - 45*p**2 + 17*p**2 + 21*p**2 + p. What is x(k(y))?
-5*y**4 + 4*y**2 + 31
Let x(j) = -6*j**2. Let s(w) be the first derivative of -29*w**2 + 3*w + 57. What is s(x(y))?
348*y**2 + 3
Let k(g) be the third derivative of 43*g**6/240 + 19*g**4/8 - 2*g**2 - 27. Let b(x) be the second derivative of k(x). Let j(o) = o. Calculate b(j(m)).
129*m
Let l(x) be the second derivative of -x**3/2 + 3*x - 1. Suppose h + 2 = 2*h. Let g(s) = 7*s**h + 45 - 45. Give l(g(u)).
-21*u**2
Let l(s) = 2*s. Let d(o) = o + 70305. Determine l(d(k)).
2*k + 140610
Suppose 0 = -121*i + 120*i. Let c(g) = i*g + g + 4*g - 6*g. Let w(z) = -20*z. Give w(c(x)).
20*x
Let o(i) = 2*i. Let m(k) = k + 1. Let q = -109 - -121. Suppose q*y - 11*y + 1 = 0. Let a(z) = 2*z**2 - 6*z - 6. Let n(x) = y*a(x) - 6*m(x). What is n(o(r))?
-8*r**2
Let i(k) = k**2 + 5580*k - 5. Let s(d) = 448*d. Determine s(i(z)).
448*z**2 + 2499840*z - 2240
Let t(b) = b + 1. Let o(a) = -256*a - 1. Let s(w) = -o(w) - t(w). Let g(f) = 2*f - f + 3672 - 1221 - 1231 - 1220. Determine s(g(i)).
255*i
Let r(z) be the first derivative of -z**3 + 5. Let t(o) = -133*o**2 - 168*o. Let v(y) = -12*y**2 - 15*y. Let u(j) = -5*t(j) + 56*v(j). Calculate r(u(b)).
-147*b**4
Let c(z) = -3*z - 5171935. Let w(f) = 11*f**2. Determine c(w(y)).
-33*y**2 - 5171935
Let n(q) = -72*q + 4. Let k(a) = -2606*a**2. Give n(k(o)).
187632*o**2 + 4
Let j(i) = -11*i - 9*i + 6 + i. Suppose -2*g = 3*w - 17, -8*g - 2*w = -11*g + 6. Let k(r) = -1. Let a(u) = g*k(u) + j(u). Let q(v) = -2*v. What is q(a(m))?
38*m - 4
Let f(v) = -14*v**2. Let n(x) be the first derivative of 17*x**2 + 2*x + 1064. Determine f(n(o)).
-16184*o**2 - 1904*o - 56
Let j(q) = 14*q**2. Let k(w) be the third derivative of 11*w**5/6 - w**4/12 + 6228*w**2. What is k(j(g))?
21560*g**4 - 28*g**2
Let u(h) = 21*h**2 - 6. Let n(g) be the third derivative of g**4/12 - 2208*g**2 + 2. Calculate u(n(p)).
84*p**2 - 6
Let t(j) = j**2. Let g(m) = 445*m + 32. Let u(l) = 221*l + 18. Let v(n) = 4*g(n) - 9*u(n). Calculate v(t(i)).
-209*i**2 - 34
Let h(f) = -6 + f - 7 + 0 + 25 - 7. Let r(i) = 11*i. What is r(h(c))?
11*c + 55
Let v(x) be the first derivative of -34*x**3 - 8 + 12 + 28 + 13. Let c(b) = -2*b**2. What is v(c(g))?
-408*g**4
Let j(l) = -101*l + 236. Let n(s) = -s - 192. What is j(n(w))?
101*w + 19628
Let n(i) = 3*i. Let y(k) = -5 + 117*k + 0 - 1269*k + 5. Determine y(n(r)).
-3456*r
Suppose r + 299 = 4*b + 2*r, -3*r + 222 = 3*b. Suppose -5*g + 40 = -b. Let y(c) = g + 17 - 40 - 28*c. Let n(o) = -o. What is n(y(x))?
28*x
Let w(h) = -2*h - 55 - 37 + 314 - 125. Let p(z) be the second derivative of -z**3/6 - 10*z. Calculate p(w(r)).
2*r - 97
Suppose -204 = -u - 197. Let j(f) be the first derivative of 0*f + 0*f**2 + 7/3*f**3 + u. Let r(c) = -c. Determine j(r(w)).
7*w**2
Let c(m) = -55*m**2 - 54*m**2 - 58*m**2 + 228*m**2 - 58*m**2. Let w(o) = 706*o. Give c(w(s)).
1495308*s**2
Let y(v) = -1074*v**2 - 45*v. Let w(c) = -210*c**2. Give y(w(j)).
-47363400*j**4 + 9450*j**2
Let l(w) = -73*w - 148. Let q(b) = 42*b + 55. Give l(q(y)).
-3066*y - 4163
Let d(w) be the first derivative of 2*w**3/3 - 153*w + 131. Let j(o) be the first derivative of d(o). Let c(l) = -15*l**2. Calculate j(c(r)).
-60*r**2
Let h(c) = 28*c**2. Let t be ((-16)/(-3) - -3)*(-9)/(-3). Suppose -3*w = -3*q - 54, -43 = -4*w + 2*q + t. Let s(l) = -w*l + 2*l + 5*l + 11*l. What is h(s(m))?
112*m**2
Let b(k) = 13*k**2 - 6*k - 60. Let f(i) = -66*i**2 + 31*i + 310. Let s(j) = 31*b(j) + 6*f(j). Let r(o) = -2*o**2 + 45*o. Calculate r(s(c)).
-98*c**4 + 315*c**2
Let r(w) = 230*w. Let i(h) be the third derivative of -h**4/24 + 18*h**2 + 5. Give i(r(z)).
-230*z
Let t(j) = 3*j**2. Let v be (-1)/(-4) - 15/(-4). Let a(b) = -7*b - 13*b**2 - 141 + 141. Let l(r) = -7*r**2 - 4*r. Let k(g) = v*a(g) - 7*l(g). Calculate t(k(y)).
27*y**4
Let n(b) = -1 + 1 - 20*b. Let d(u) = -1033153451*u + 1033153451*u - 15*u**2. Give d(n(m)).
-6000*m**2
Let b(v) = -v. Let u(j) = -8*j**2 - 3*j + 9. Let c(h) = -9*h**2 - h + 12. Let p(l) = 3*c(l) - 4*u(l). What is b(p(o))?
-5*o**2 - 9*o
Let c(v) = 4*v. Let b(x) = 3*x + 23. Let u be b(-6). Let p(m) = 0 - u + 1 + m - 2. Let o(r) = r - 5. Let t(l) = -6*o(l) + 5*p(l). Determine c(t(z)).
-4*z
Let b(f) = 162*f**2 + 17160*f + 6. Let u(n) = 2*n. Calculate b(u(r)).
648*r**2 + 34320*r + 6
Let w(s) = -18259796*s**2. Let c(h) = 10*h**2. Give w(c(v)).
-1825979600*v**4
Let y(g) = 78