a - 17
Let f(n) = -n**2. Let s(y) be the second derivative of y**5/40 + 5*y**4/24 - 10*y**3/3 - 55*y. Let p(o) be the second derivative of s(o). Determine p(f(k)).
-3*k**2 + 5
Let d(l) = 148*l**2. Let o(b) = -2028*b. What is d(o(f))?
608692032*f**2
Let r(j) = 155*j - 148. Let f(k) = 88*k - 84. Let l(q) = -37*f(q) + 21*r(q). Let s(y) = -3 + 352*y**2 + 3. What is l(s(g))?
-352*g**2
Let b(c) = 349*c + 33*c + 80*c. Let x(g) = 3*g**2. Determine b(x(r)).
1386*r**2
Let c(t) be the third derivative of -2*t**5/15 + 3886*t**2 - t. Let k(j) = 38*j**2 + 15. What is c(k(f))?
-11552*f**4 - 9120*f**2 - 1800
Let a(c) be the second derivative of c**3/3 - 28*c**2 - 2*c - 3574. Let b(z) = -3*z**2. Calculate b(a(m)).
-12*m**2 + 672*m - 9408
Let x(a) = 911*a + 861*a + 436*a - 127*a. Let m(i) = i**2. Determine m(x(k)).
4330561*k**2
Let u(m) = -37*m**2 - 82*m**2 + 31*m**2 + 6*m**2. Let l(h) = 31*h. Calculate u(l(y)).
-78802*y**2
Let c(t) = t**2. Let a(g) = -41797*g**2 + 79. What is a(c(j))?
-41797*j**4 + 79
Let r(c) = -2*c. Suppose 3*l - 18741 = -4*n + n, -2*n - l = -12496. Let d(y) = 3 - n*y + 6410*y - 3. What is d(r(u))?
-322*u
Let p(f) be the third derivative of -f**4/2 + f**3/6 + f**2 - 363*f. Let q(s) = 19*s**2. Determine q(p(c)).
2736*c**2 - 456*c + 19
Let h be 3 - (4 + (-2 - 1)). Let f(y) = y - 1. Let p(r) = 5*r + 1. Let j(u) = h*p(u) + 2*f(u). Let q(g) = g**2. Give j(q(z)).
12*z**2
Let u(i) = 710*i**2. Let x(d) = 218*d**2 + 23. Determine x(u(m)).
109893800*m**4 + 23
Let r(h) = h**2 + 2*h - 2. Let u(j) be the first derivative of 10*j**3/3 + 12*j**2 - 24*j + 84. Let i(t) = 12*r(t) - u(t). Let b(y) = 29*y. What is i(b(x))?
1682*x**2
Let p(t) be the third derivative of -t**5/60 - 3*t**4/8 - 2*t**3/3 - 6*t**2. Let z be p(-6). Let m(v) = -2*v - z*v + 5*v. Let c(i) = -2*i. Give c(m(x)).
22*x
Suppose m = 3, 0*q - 5*m + 15 = 4*q. Suppose q = 5*z - d - 28, d = -9*z + 4*z + 22. Let y(j) = 3*j + j + z*j - 23*j. Let n(l) = 3*l. Calculate n(y(k)).
-42*k
Let z(g) = -3*g. Let v(d) = 540619*d**2 + 94*d + 2. Calculate z(v(s)).
-1621857*s**2 - 282*s - 6
Let z(a) = 2 + 183*a + 202*a - 574*a + 194*a - 38*a**2. Let i(l) = 3*l. Determine z(i(h)).
-342*h**2 + 15*h + 2
Let s(j) = -j**2. Let y(z) be the second derivative of -37*z**4/12 - z**3/3 + 545*z + 2. What is s(y(a))?
-1369*a**4 - 148*a**3 - 4*a**2
Let k(j) = -252*j - 197. Let d(l) = 353*l + 278. Let n(v) = 12*d(v) + 17*k(v). Let s(b) = -10*b**2. Determine n(s(q)).
480*q**2 - 13
Let f be -6*(80/(-24) - -3). Let l(s) = -27*s - f*s - 29*s + 20*s. Let z(m) = 3*m**2. Calculate l(z(y)).
-114*y**2
Suppose 2*v - 3*c = 8, -v + 6*c - 3*c - 2 = 0. Let h(l) = -10*l - v*l + 39*l + 72*l. Let i(z) = 2*z**2. What is h(i(n))?
182*n**2
Let d(v) = 2*v**2 - 719. Let l(m) = -m**2 + 56*m + 3*m**2 - 56*m. What is l(d(b))?
8*b**4 - 5752*b**2 + 1033922
Let o(v) = -2*v - 490. Let g(m) = -67537*m. Give g(o(y)).
135074*y + 33093130
Let f(v) = -5*v + 3*v - 4*v + 4*v. Let i(x) = 20*x**2 - 168. Let w(o) = -21*o**2 + 154. Let b(j) = 11*i(j) + 12*w(j). Calculate f(b(h)).
64*h**2
Let l(h) = h**2. Suppose -11*i + 17 = -93. Let t(b) = 16*b**2 + 1044 + i*b**2 - 1044. Determine l(t(j)).
676*j**4
Let p(w) = -10*w**2. Suppose -f + 3 = 0, 132 = 2*z + z + 3*f. Let d(y) = 14 + 22*y**2 - z*y**2 - 14. What is d(p(m))?
-1900*m**4
Let z(o) = -3*o. Let d(b) = 24*b**2 - 3. Suppose -v = -2*a - 55, 9*v = 7*v - 2*a + 92. Let f(c) = 385*c**2 - 49. Let j(y) = v*d(y) - 3*f(y). Calculate z(j(g)).
-63*g**2
Let j(d) = -3*d. Suppose 28 + 6 = p. Let c = -2577 - -2643. Let x(m) = c - 2*m - p - 32. Give x(j(b)).
6*b
Let y(q) = -48*q + 2. Suppose -10*d + 301 = 281. Let o(s) = -5*s**2 - 2*s**2 - 4*s**2 + 7*s**2 + 2*s**d. Calculate o(y(v)).
-4608*v**2 + 384*v - 8
Let y(k) = 2*k. Let p(a) be the second derivative of a**4/6 + 115*a**3/6 + 2*a + 95. Give p(y(c)).
8*c**2 + 230*c
Let d(x) = 8*x. Let j(y) be the second derivative of 12*y**3 + 2849*y. What is d(j(n))?
576*n
Let g(f) = 0 + 0 - 19*f. Let c(u) = -3429*u - 3429*u - 3416*u + 10274*u + 3*u**2. Give g(c(h)).
-57*h**2
Let s(b) = 4*b**2 + b + 1. Let m(l) = 9*l**2 + 2*l + 2. Let v(j) = m(j) - 2*s(j). Let i(h) = 91*h + 2. Calculate i(v(d)).
91*d**2 + 2
Let v(j) = -2*j. Let n(w) = 19. Let i(c) = c - 1. Let m = -59 - -55. Let z(a) = a - 15. Let l be z(m). Let t(k) = l*i(k) - n(k). What is v(t(p))?
38*p
Suppose 0*w - w = 0. Let o = 1041 + -1034. Let f(a) = -o*a + a + 2*a + w*a. Let q(j) = 12*j**2. Calculate f(q(i)).
-48*i**2
Let b(v) = -3*v - 6. Let u be (6 - 5)*(-2 - -3). Let j(n) = -n - 3. Let y(q) = u*b(q) - 2*j(q). Let k(d) = -7*d + 3*d - 5*d. Calculate y(k(x)).
9*x
Let u(p) = -342*p**2. Let m(x) be the third derivative of -5*x**4/8 - 6993*x**2. Determine m(u(o)).
5130*o**2
Let b(p) = 7*p**2 + 5. Let d(s) = 6*s**2 + 4. Let o(r) = -4*b(r) + 5*d(r). Suppose 3*q = 3*f - f - 13, 4*q = 4. Let m(a) = f*a - 2*a - a. Determine o(m(k)).
50*k**2
Let t(g) = g**2. Let y(x) = 8*x**2 - 3*x + 28122932 - 28122932. Determine t(y(f)).
64*f**4 - 48*f**3 + 9*f**2
Let m(n) be the first derivative of 3*n**3 - 7*n - n - 20 + n + 74. Let x(f) = -f**2. Calculate m(x(u)).
9*u**4 - 7
Let r = 130 + -127. Let q(i) be the first derivative of 17 - 1 + 1 + 3*i**r - 1. Let y(a) = -4*a**2. What is y(q(n))?
-324*n**4
Let o(w) = -2*w**2. Let a = -21522 + 21522. Let j(h) be the second derivative of 0*h**3 - 9/4*h**4 + 0 + 17*h + a*h**2. What is j(o(b))?
-108*b**4
Let b(c) = -2*c**2 + 6. Let f(u) = 4*u**2 - 10. Let z(p) = 5*b(p) + 3*f(p). Let g(h) be the second derivative of 22/3*h**3 + 0 + 0*h**2 + h. Calculate z(g(x)).
3872*x**2
Let g(u) = 32*u. Let j(x) = -79*x**2 + 14*x**2 + 33*x**2 + 14*x**2 + 21*x**2. What is j(g(v))?
3072*v**2
Let s(h) = -26*h**2. Let n(j) = -66*j**2 - 47*j - 442. Let w(q) = 26*q**2 + 19*q + 182. Let c(t) = 7*n(t) + 17*w(t). What is c(s(b))?
-13520*b**4 + 156*b**2
Let z(y) = -32*y**2. Let p(n) = 560558*n. Calculate p(z(j)).
-17937856*j**2
Let q(h) = 10*h. Let b(m) = -11*m**2 - 3. Let v(r) = 9*r + 14. Let t be v(-2). Let n(s) = -11*s**2 - 4. Let k(x) = t*b(x) + 3*n(x). Calculate k(q(c)).
1100*c**2
Suppose 25 = -2*a + 35, 4*a = -3*i + 26. Let o(v) = 839*v + 2*v**2 + 2*v**i - 839*v. Let q(m) = -31*m**2. What is o(q(y))?
3844*y**4
Let j(a) = 1112*a. Let k(h) = 809*h - 2. What is k(j(d))?
899608*d - 2
Let z(b) = -51*b**2 + 2*b - 4012. Let a(g) = -3*g. Determine a(z(y)).
153*y**2 - 6*y + 12036
Let k(v) = 99*v**2 + 658*v**2 - 26*v**2. Let x(z) = -4*z**2. What is k(x(t))?
11696*t**4
Let s(c) = -2*c**2. Let b = 291 + -292. Let w(i) = -i - 2. Let u(d) = -d**2 + 4*d + 21. Let r(f) = b*u(f) - 4*w(f). Calculate s(r(n)).
-2*n**4 + 52*n**2 - 338
Let a(s) = 2. Let p(g) be the second derivative of -g**4/12 - 3*g**2 - 3*g + 20. Let n(b) = 6*a(b) + 2*p(b). Let c(m) = m + 70. Give n(c(h)).
-2*h**2 - 280*h - 9800
Suppose 0*x - 9 = x. Let u be (-1424)/x + 3/((-54)/4). Let k(d) = -155 - u + 2*d**2 + 313. Let v(i) = 2*i - 1. What is k(v(t))?
8*t**2 - 8*t + 2
Suppose -36*m + 60 = -26*m. Let g(d) = -2*d - m*d + 3*d + 9*d. Let t(k) = 3*k. What is t(g(j))?
12*j
Let a(v) = 55831*v + 2*v**2 - 55831*v. Let s(z) = -174*z**2 + 2. Calculate a(s(m)).
60552*m**4 - 1392*m**2 + 8
Let b(n) be the first derivative of -151*n**2 - 14655. Let m(t) be the second derivative of -t**4/12 + 3*t. What is m(b(j))?
-91204*j**2
Let j(u) be the second derivative of -437*u**3/6 - 9368*u. Let o(p) = 11*p. Determine j(o(b)).
-4807*b
Let i(d) = d - 2. Let b(l) be the second derivative of -l**5/30 - 148*l**2 - l + 75. Let t(v) be the first derivative of b(v). Calculate t(i(f)).
-2*f**2 + 8*f - 8
Let m(b) = 3*b**2. Let w(n) = -n + 1. Let h(z) = 2*z - 11*z + 4*z**2 - 3 + 11*z + 1. Let q(t) = -4*h(t) - 8*w(t). Calculate m(q(s)).
768*s**4
Let h(c) = -21*c**2 - 782. Let m(k) = 56*k. Calculate m(h(y)).
-1176*y**2 - 43792
Let f(o) = -26*o**2 + 3*o - 62. Let k(z) = -25*z**2 + 2*z - 56. Let h(v) = 2*f(v) - 3*k(v). Let b(w) = w. Determine b(h(i)).
23*i**2 + 44
Let n(x) = -2*x + 12. Let w(p) = 10*p - 44. Let h(a) = 4*n(a) + w(a). Let g(k) = 3*k - 13. Determine h(g(m)).
6*m - 22
Let j(p) = 29*p**2. Let s(g) = 3*g**2 - 1427*g + 81. Determine s(j(u)).
2523*u**4 - 41383*u**2 + 81
Let h(v) = -2*v + 408196. Let d(i) = -20*i. Calculate d(h(w)).
40*w - 8163920
Let d = 56 - 53. Suppose 0 = -10*r + d*r + 42. Let o(m) = 15*m + 