- 17*t**2 + 29*t**o. Let b(y) = 50*y**2. What is f(b(s))?
7500*s**4
Let y(h) be the second derivative of 7*h**6/720 - 3*h**4/2 - h + 177. Let j(n) be the third derivative of y(n). Let t(a) = 6*a**2 - 4. Calculate t(j(v)).
294*v**2 - 4
Let u(g) = 15174*g**2 + 93. Let x(o) = -o**2. Give u(x(f)).
15174*f**4 + 93
Let n(v) = -26*v - 1. Suppose 0 = 27712*j - 27755*j. Let k(a) be the second derivative of j*a**2 - 1/6*a**3 + 4*a + 0. What is n(k(d))?
26*d - 1
Let u(l) = 5*l**2 + 23*l. Let m(z) = -7*z**2 - z - 1. Let x(d) = 13*d**2 + 2*d + 2. Let o(k) = 6*m(k) + 3*x(k). What is u(o(t))?
45*t**4 - 69*t**2
Let j(b) = -b**2. Let y(p) = -6486038*p. Determine j(y(g)).
-42068688937444*g**2
Let c(b) = -5*b**2. Let s(f) = 7927510*f. Determine c(s(z)).
-314227074000500*z**2
Let c(n) = -2*n. Let o(d) be the second derivative of 13*d**4/24 - d**3/6 - 67*d**2 - 147*d. Let g(y) be the first derivative of o(y). What is g(c(p))?
-26*p - 1
Let j(n) = 11*n. Let h(i) = -38*i**2 + 9*i - 36. Let v(z) = 17*z**2 - 4*z + 17. Let f(k) = 8*h(k) + 18*v(k). What is f(j(m))?
242*m**2 + 18
Let i(n) = 3*n**2. Let u(r) = -r**2 + r + 230. Let m be u(0). Let x(q) = m*q - 409*q + 231*q. What is x(i(d))?
156*d**2
Let m(o) = 1. Let y(t) = -30*t + 30. Let s(n) = 30*m(n) - y(n). Let r(w) = -159*w - 18. Let i(a) = 9*a + 1. Let k(j) = -18*i(j) - r(j). Determine s(k(l)).
-90*l
Let o(j) = 37*j. Let b(d) = -5*d**2 + 3*d + 3. Suppose -l = 2*l - 9. Let x(z) = 6*z**2 - 4*z - 4. Let h(t) = l*x(t) + 4*b(t). Determine o(h(v)).
-74*v**2
Let c = 33609 - 5751. Let h(n) = -c + 27858 + 14*n**2. Let z(d) = -15*d**2. Calculate z(h(g)).
-2940*g**4
Suppose -11*w + 14 = 2*z - 16*w, -z = -5*w - 12. Let x(a) = -57*a**2 - 73*a**z + 132*a**2. Let l(h) = -2*h - 3. Determine l(x(r)).
-4*r**2 - 3
Let u(y) be the second derivative of y**3 - 28*y. Let b(a) = 4*a + 50. Let p be b(-12). Let q(k) = p*k**2 - 4*k**2 + 4*k**2 - k**2. What is u(q(r))?
6*r**2
Let d(t) = -3*t**2. Let j be (-14)/(-6) + 938/(-402). Let z(g) be the first derivative of 5 - 3/2*g**2 + j*g. Determine z(d(u)).
9*u**2
Suppose -3 = -27*w + 26*w. Let j(o) = -4*o - 1. Let t(b) = -69*b - 21. Let c(v) = w*t(v) - 63*j(v). Let f(a) = 3*a**2. What is c(f(g))?
135*g**2
Let q(c) = 440*c**2 - 142*c + 1. Let a(x) = 11*x. Calculate q(a(o)).
53240*o**2 - 1562*o + 1
Let y(f) = -20*f. Let c(h) be the second derivative of h**7/315 + 67*h**4/6 - 4*h + 6. Let g(x) be the third derivative of c(x). Determine g(y(u)).
3200*u**2
Let a(k) = -3*k. Suppose 0 = j - 4*q - 3, 4*q = -5*j - 9 - 0. Let f = j + 1. Let u(m) = 0*m**2 + 0*m**2 + m**2 + f*m**2. Determine u(a(n)).
9*n**2
Let o(u) = -3*u**2 - 134005*u + 134005*u. Let t(g) be the second derivative of 7*g**4/4 - g. What is o(t(q))?
-1323*q**4
Let l(q) = 29*q**2 + 63. Let o(d) = -16971*d + 2. What is o(l(j))?
-492159*j**2 - 1069171
Let o(k) = -2494*k. Let w(z) = 503*z**2 - 19*z. Determine o(w(d)).
-1254482*d**2 + 47386*d
Let w(p) = 21*p. Let j(c) = -24*c. Let o(v) = -j(v) - w(v). Let q(u) be the third derivative of 0*u**4 + 0*u**3 - 2*u**2 + 0*u + 0 - 1/12*u**5. What is q(o(i))?
-45*i**2
Let i(q) = 3107*q. Let p(b) = -17*b**2 + 88*b + 1. Determine i(p(k)).
-52819*k**2 + 273416*k + 3107
Let j(c) be the third derivative of -1053*c**5/20 - 8860*c**2. Let q(g) = 2*g. Calculate j(q(o)).
-12636*o**2
Let h(k) = k**2. Let g(i) = 6 + 578*i + 396*i - 909*i. Give g(h(j)).
65*j**2 + 6
Let y(z) = -39*z**2 - 201. Let b(a) = -7444*a. Determine b(y(g)).
290316*g**2 + 1496244
Let z(b) = -22414544*b**2. Let l(f) = 2*f. What is z(l(v))?
-89658176*v**2
Let i(b) = -22*b**2. Let u(x) = 98862*x. Determine i(u(q)).
-215021290968*q**2
Let o(b) = 93*b - 809. Let l(j) = -37*j + 405. Let p(a) = 5*l(a) + 2*o(a). Let i(f) = -4*f**2. Calculate i(p(s)).
-4*s**2 - 3256*s - 662596
Let f(s) = 2*s - 426. Let m(i) = 2*i + 1769*i**2 - 1767*i**2 - 2*i. What is f(m(w))?
4*w**2 - 426
Let g(o) = 8*o. Let a(s) be the third derivative of 15*s**4/2 + 23*s**2 - 15*s - 2. Determine g(a(w)).
1440*w
Let p(w) = 2*w**2 - 30*w. Let q(c) be the second derivative of 41*c**3/3 - 1936*c + 1. Determine q(p(i)).
164*i**2 - 2460*i
Let a(i) = 52*i. Let k(w) = 38*w + 6. Let h(l) = 6*l + 1. Let d(c) = 6*h(c) - k(c). What is a(d(z))?
-104*z
Let j(a) = 4*a**2. Let x(r) = r + 2. Let f(b) = -24*b - 1. Let z(p) = f(p) + 3*x(p). Let g(s) = -5*s + 1. Let u(h) = 9*g(h) - 2*z(h). What is j(u(w))?
36*w**2 + 24*w + 4
Suppose -35 = -2*w + 5*r, 72 - 30 = 2*w + 2*r. Let d(j) = 22 - 2 + 42*j**2 - w. Let l(m) = -4*m**2. Determine d(l(t)).
672*t**4
Let f(x) = -2*x**2. Let i(y) = 6*y**3 + 23*y - 23. Let q be i(1). Let m(g) = -60*g - 9*g**2 + q*g**2 + 53*g. Give m(f(v)).
-12*v**4 + 14*v**2
Let j(s) = -116*s**2 - 15*s. Let l(g) = -233*g**2 - 26*g. Let w(d) = 7*j(d) - 4*l(d). Let b(i) = -4*i. Determine w(b(q)).
1920*q**2 + 4*q
Let i(d) = -2*d**2. Let l(y) = 368403*y - 80. Give l(i(h)).
-736806*h**2 - 80
Let v(c) = -c**2. Let k(h) = -2*h**2 + 152468*h + 32. Determine k(v(i)).
-2*i**4 - 152468*i**2 + 32
Let w(x) = -3*x. Let d(j) = 252*j**2 + 54*j + 9. Let l(a) = -125*a**2 - 22*a - 6. Let h(b) = 2*d(b) + 5*l(b). Determine w(h(u)).
363*u**2 + 6*u + 36
Let f(v) = -2386764*v. Let k(l) = -l**2 - 4. Calculate f(k(z)).
2386764*z**2 + 9547056
Let o(p) = 17*p. Let t(q) = 526991*q**2. Calculate o(t(b)).
8958847*b**2
Let x(z) be the second derivative of 17/12*z**4 + 0 + 0*z**2 + 0*z**3 + 22*z. Let q(i) = i**2 - 3 + 3 - 2*i**2. Calculate x(q(c)).
17*c**4
Let c(m) = -m**2 + 428*m. Let l(n) = -41*n + 2. Let f(p) = 120*p - 6. Let r(u) = f(u) + 3*l(u). Calculate c(r(w)).
-9*w**2 - 1284*w
Let t(l) = -l. Let d be ((-2 - 3) + 3 + 12)*1. Let w(i) = -6*i**2 - 5*i. Let m(k) = -2*k**2 - k. Let s(q) = d*m(q) - 2*w(q). What is t(s(a))?
8*a**2
Let p(c) = -13*c + 2. Let q(r) = 90*r - 247. Let m be q(9). Let w(k) = -3*k**2 - m*k + 283*k + 280*k. Determine w(p(s)).
-507*s**2 + 156*s - 12
Let l(a) = 3342*a**2. Let n(c) = 2*c - 736. Determine n(l(u)).
6684*u**2 - 736
Let b(v) be the third derivative of -2*v**5/15 + 750*v**2. Let y(m) = -21 + 21 + 16*m**2. Give y(b(g)).
1024*g**4
Let u(y) = 932*y - 487*y - 437*y. Let k(t) = 144*t. Give k(u(w)).
1152*w
Let o(v) = -20*v - 20. Let c(r) = -3*r - 2. Let j(f) = 10*c(f) - o(f). Let w(q) be the third derivative of -11*q**4/12 + 2*q**2 - 24*q. Give w(j(x)).
220*x
Let k(f) = 32*f + 2777. Let m(s) = s - 13. What is m(k(o))?
32*o + 2764
Let h(j) = 1892*j. Let r(y) be the third derivative of y**5/60 + 5*y**2 - 45*y. Give r(h(g)).
3579664*g**2
Let t(m) be the third derivative of m**5/60 - 11*m**3 - 105*m**2. Let k(f) be the first derivative of t(f). Let d(x) = x - 10. Calculate d(k(o)).
2*o - 10
Let t(s) = -5*s + 2. Let l(m) = -29*m + 9. Let d(v) = 88*v - 26. Let h(y) = -2*d(y) - 7*l(y). Let a(r) = -4*h(r) - 22*t(r). Let w(f) = 8*f. What is w(a(q))?
16*q
Let n(v) be the first derivative of -2*v**3/3 + 4. Let o(k) = k**2 + 5*k - 4. Let z be o(-6). Let a(f) = -37*f**2 + 19*f**2 + 11*f**z. Give a(n(m)).
-28*m**4
Let d(s) = 4*s**2 - 320*s + 30. Let j(c) = -698*c. Calculate j(d(y)).
-2792*y**2 + 223360*y - 20940
Let a(d) = -2*d. Let n(w) = -46*w - 4. Let s be n(-1). Suppose 0 = 2*l + l - t - 42, 0 = -3*l + 2*t + s. Let f(q) = -5*q - l*q - 7*q. Determine f(a(z)).
52*z
Suppose -18 = -a - 6*t + 10*t, 3*t + 16 = 2*a. Let x(j) = 7*j - 13*j + 10*j**a + j + 8*j**2 + 6*j. Let w(q) = 3*q**2. Determine w(x(i)).
972*i**4 + 108*i**3 + 3*i**2
Let y(d) = -1422*d**2. Let u(t) = -242*t - 244*t - 241*t + 721*t. Determine u(y(c)).
8532*c**2
Let f(p) be the first derivative of -p**2/2 + 50. Let b(c) = -2*c + 1. Let y(q) = 150*q - 10. Let t(o) = 10*b(o) + y(o). Calculate t(f(d)).
-130*d
Let w(b) = -3*b**2. Let s(u) = 686860*u**2 + 7319*u - 29276. Let d(i) = 563*i**2 + 6*i - 24. Let x(j) = 7319*d(j) - 6*s(j). What is w(x(m))?
-950907*m**4
Let s(o) = 129582*o - 204. Let j(n) = 4*n. What is s(j(i))?
518328*i - 204
Let b(f) = 440*f**2. Let p(c) = -306*c - 13. Calculate p(b(o)).
-134640*o**2 - 13
Let y(u) = 11*u + 23*u - 38*u. Let t(j) = j + 1. Let c be (-4)/14 + 184/56. Let g(x) = -2*x - 3. Let r(w) = c*t(w) + g(w). Determine y(r(v)).
-4*v
Let q(r) = -8*r**2 + 23*r**2 - 4*r**2 - 5*r**2 - 5*r**2. Let h(o) = -2 - 3 + 5 - 49*o. Calculate h(q(t)).
-49*t**2
Let l(u) = -13*u - 3. Let k(z) = 46*z - 15810. Determine l(k(v)).
-598*v + 20