 - 1. Suppose 5*d + 11 = 3*j - 13, -5*j - 4*d + 40 = 0. Let i(t) = -t - 5*t + j*t. Calculate i(s(l)).
8*l**2
Let o(h) = 7346*h - 12. Let b(q) = -33*q**2 + 1. Give o(b(l)).
-242418*l**2 + 7334
Let l(x) = -743*x. Let v(z) = 29987*z**2 - 8*z. Determine l(v(b)).
-22280341*b**2 + 5944*b
Let j(d) = -d**2 - 141*d. Let u(g) = -1 + 121681*g - 121675*g + 1. Calculate u(j(w)).
-6*w**2 - 846*w
Let d(o) = 32*o**2 - 9*o**2 - 16*o**2 - 12*o**2. Let v(x) be the third derivative of 0*x**3 + 0*x - 1/4*x**4 + 0 + 6*x**2. Give v(d(u)).
30*u**2
Let k(h) = -11*h**2 - 12*h - 6. Let s(i) = 24*i**2 + 26*i + 13. Let a(x) = -13*k(x) - 6*s(x). Suppose -d + 5 = -6. Let g(y) = -d*y + 5 - 5. Give a(g(f)).
-121*f**2
Let p(s) = 212*s**2 - s + 14. Let f(g) = -147*g**2 - 10. Let c(d) = 7*f(d) + 5*p(d). Let r(k) = -3*k. Calculate c(r(w)).
279*w**2 + 15*w
Let i(a) = 153*a. Let s(v) = -61239*v. Determine i(s(m)).
-9369567*m
Let q(n) = 27*n**2. Let f be -2*((-738)/82 + 2 + 6). Let g(h) be the first derivative of 0*h - 7 - 3/2*h**f. Determine q(g(v)).
243*v**2
Let c(d) = 689*d. Let g(r) = 3871*r - 45. What is g(c(i))?
2667119*i - 45
Let y(v) = 11*v + 12. Let r(c) = -53*c - 52. Let o(m) = 6*r(m) + 29*y(m). Let z(f) = -3*f**2 - 2. Calculate z(o(i)).
-3*i**2 - 216*i - 3890
Let t(s) = 7*s**2 - 5*s - 7. Let l(i) = -7*i**2 + 4*i + 6. Let m(q) = 5*l(q) + 4*t(q). Let n(w) = -99 + 29 + w + 42 + 28. What is n(m(p))?
-7*p**2 + 2
Let v(o) = -1657*o. Let y(m) = -82257*m**2. Determine y(v(t)).
-225848849793*t**2
Let u(j) be the third derivative of -7/2*j**3 + 0*j**4 + 0 + 0*j - 7*j**2 - 1/30*j**5. Let r(z) = z**2. Calculate r(u(x)).
4*x**4 + 84*x**2 + 441
Let u(t) = -t. Let p(y) be the third derivative of -629*y**5/60 + 31*y**2. What is p(u(l))?
-629*l**2
Let o(b) = -36*b**2 - 72*b + 15. Let a(z) = -5*z**2 - 10*z + 2. Let l(w) = 15*a(w) - 2*o(w). Let i(s) = -20*s. Calculate i(l(j)).
60*j**2 + 120*j
Let p(q) = -75912614*q. Let k(m) = 5*m. Calculate k(p(w)).
-379563070*w
Let a(s) = -51*s - 1277994. Let y(r) = 2*r. Give y(a(o)).
-102*o - 2555988
Let d(g) = 18*g**2. Let q(b) be the first derivative of -195*b**2/2 - 1142. What is d(q(s))?
684450*s**2
Let s(j) be the second derivative of j**4 - j. Let r(k) be the second derivative of 0 - 1/3*k**3 - 105*k + 0*k**2. Determine s(r(g)).
48*g**2
Let o(g) = -69*g - 1. Let y(k) be the first derivative of 6*k**3 - k**2/2 - 1932. Determine o(y(x)).
-1242*x**2 + 69*x - 1
Let t(p) = 9*p. Let q(h) be the second derivative of 0 + 0*h**2 + 75*h - 7/6*h**3. Calculate t(q(k)).
-63*k
Let k(n) = -3*n. Let z(o) = o**3 - 3*o**2 - 7*o - 13. Let t be z(5). Let g(v) = -21*v**2 - 18*v**2 + 51*v**t - 40*v**2. Calculate g(k(p)).
-252*p**2
Let h(f) = -557*f**2. Let c(a) be the second derivative of -5*a**4/6 + 1739*a. Calculate h(c(p)).
-55700*p**4
Let f(t) = 212*t + 60*t - 88*t - 21*t**2 + 22*t**2 + 145*t. Let p(k) = -25*k. Determine f(p(r)).
625*r**2 - 8225*r
Let q(w) = -2*w**2 - 5380681. Let z(y) = -2*y. What is q(z(m))?
-8*m**2 - 5380681
Let d(q) = 8*q. Let p(u) = -787368*u. What is d(p(x))?
-6298944*x
Let y(c) = -2*c**2. Suppose -j + 11 - 12 = -4*k, 3 = -4*k - 3*j. Let h(s) = 2011*s - 2009*s - 4 + 1 + k. Determine y(h(a)).
-8*a**2 + 24*a - 18
Let b(n) = 2*n**2. Let q(m) = -5*m - 47. Let o be q(-11). Let u(h) = -7*h + 30*h - 15*h - 3*h - o. What is b(u(v))?
50*v**2 - 160*v + 128
Let p(s) = -102*s + 1. Let d(g) be the second derivative of -2*g**3/3 - g + 480. Give p(d(v)).
408*v + 1
Let i(p) be the third derivative of 791*p**4/24 - 46*p**2 - 2*p. Let s(v) = 5*v**2. Calculate s(i(f)).
3128405*f**2
Let p(m) = 64*m - 181. Let u(s) = -5612*s - 2. What is u(p(k))?
-359168*k + 1015770
Suppose 4*a + 5*n = 13, -a = -558*n + 563*n + 8. Suppose -z = -2*z + 5. Let y(u) = -z*u**2 + 11*u**2 - a*u**2 - 2*u**2. Let k(x) = 12*x**2. What is k(y(w))?
108*w**4
Let a(y) = y**2. Let n(v) = 17588365*v**2. Determine n(a(x)).
17588365*x**4
Let r(h) = 340*h. Let q(o) = -56*o**2 + 10*o + 2. What is q(r(n))?
-6473600*n**2 + 3400*n + 2
Let g(f) = 2*f - 1073979. Let b(l) = 7*l. Give g(b(h)).
14*h - 1073979
Let a(j) = 928*j + 28 - 444*j - 482*j. Let p(z) = 5*z. Give a(p(b)).
10*b + 28
Suppose -h = 4*a - 208, 2*a - 1022 = -2*h - 3*h. Let m(d) be the first derivative of h - 414 + 214 - d**2. Let u(b) = -6*b**2 + 2*b. What is m(u(c))?
12*c**2 - 4*c
Let v(m) be the second derivative of -m**3/6 - 714*m. Let d(q) = 2*q**2. Give v(d(o)).
-2*o**2
Let a(d) = -3*d**2. Let i be 1/3*-1 + (-314)/(-942). Let s(q) be the third derivative of i*q - 1/24*q**4 + 0*q**3 - 10*q**2 + 0. Determine s(a(u)).
3*u**2
Let u(w) = -388*w. Let l(i) = i + 15. What is l(u(y))?
-388*y + 15
Suppose -d - 3 = 0, 0*c = -2*c - 4*d - 12. Let f(y) = 2565 + 2*y + c*y - 2565. Let z(a) be the second derivative of 5*a**3/2 - 3*a. What is z(f(t))?
30*t
Let q(h) = -7145*h + 14499*h - 7239*h. Let u(y) = -1 + 0 - 3*y + 1. What is u(q(a))?
-345*a
Let u(i) = 19*i. Let d(y) be the third derivative of y**7/1008 + 27*y**5/10 + y**3/6 + 16*y**2 + 2. Let z(l) be the third derivative of d(l). Calculate z(u(w)).
95*w
Let h(y) = 51*y**2. Let j(a) = a + 16108. Calculate j(h(u)).
51*u**2 + 16108
Let v(s) = -1112498*s. Let i(l) = 6*l**2. Calculate v(i(h)).
-6674988*h**2
Let n(z) = -10*z + 1. Let y(i) = -1112*i**2 - 32*i + 32. Let l(o) = 104*o**2 + 3*o - 3. Let d(h) = 96*l(h) + 9*y(h). Give d(n(x)).
-2400*x**2 + 480*x - 24
Let a = -78 + 80. Suppose a*g + 1 - 5 = 0. Let q(y) = 17 - 17 - 26*y**g + 3*y**2. Let j(b) = -b. What is j(q(d))?
23*d**2
Let t(p) = -13*p**2. Let k(g) be the first derivative of 542*g**2 - 14331. What is k(t(h))?
-14092*h**2
Let r(s) = 49712*s. Let g(n) = -1000*n**2. What is r(g(l))?
-49712000*l**2
Let v(q) be the second derivative of 3*q**3 + 802*q. Let s(a) = 15*a - 2. What is s(v(b))?
270*b - 2
Let m(v) be the second derivative of v**4/12 + 5*v - 22. Let b(j) be the first derivative of 0*j**2 - 4 + 10/3*j**3 + 0*j. What is m(b(k))?
100*k**4
Let d(w) = 2*w - 1319. Let f(j) = -49165*j. Give f(d(l)).
-98330*l + 64848635
Let o(l) be the first derivative of -4*l**2 - 81. Let g(p) = -12*p - 4. Let t(x) = x - 1. Let a(s) = -g(s) + 4*t(s). What is a(o(d))?
-128*d
Let a(w) = 7*w. Let f(x) = -5*x**2 - 52806*x - 3 + 52806*x. Calculate f(a(z)).
-245*z**2 - 3
Let n(t) = 4*t**2 + 90*t + 10. Let y(v) = 3*v**2 + 72*v + 8. Let w(r) = 4*n(r) - 5*y(r). Let s(z) = -18*z**2 + 2*z. Give w(s(d)).
324*d**4 - 72*d**3 + 4*d**2
Let l(a) = 1208069*a**2. Let y(g) = 5*g. What is y(l(m))?
6040345*m**2
Let d(i) be the first derivative of 4*i**2 + 1542. Let y(v) = 17*v**2 + 11. What is y(d(m))?
1088*m**2 + 11
Let l(d) be the third derivative of d**4/12 - 938*d**2. Let r(q) = 1096*q. What is l(r(g))?
2192*g
Let u(s) = -4*s. Let x(m) = -29*m + 783. Determine x(u(p)).
116*p + 783
Let k(c) be the first derivative of -83 + 0*c + 11/2*c**2. Let j(h) = 2*h. What is k(j(f))?
22*f
Let v = -30 - -32. Let o(i) = i**2 + 78*i + i**v - 78*i. Let a(m) = 4*m - 69*m**2 - 4*m. What is o(a(p))?
9522*p**4
Let l(q) = 87*q - 42. Let r(n) = 25*n - 12. Let f(u) = -4*l(u) + 14*r(u). Let z(s) = 2*s + 2475. Give f(z(h)).
4*h + 4950
Let u(v) = -107*v + 6. Let y(a) = -2230*a + 125. Let b(w) = 125*u(w) - 6*y(w). Let k(x) be the second derivative of x**4/3 + 2*x. Give k(b(z)).
100*z**2
Let w(q) = -51*q**2 + 42*q - 21. Let r(h) = -12*h**2 + 10*h - 5. Let m(a) = 21*r(a) - 5*w(a). Let k(f) = -60*f**2. Give m(k(d)).
10800*d**4
Let a(p) = -2*p**2. Let o(f) = -3434968*f. What is a(o(t))?
-23598010322048*t**2
Let r(x) = -148*x - 202*x**2 + 148*x + 413*x**2 - 212*x**2. Let c(u) = u - 3*u - 31*u**2 + 0*u. What is r(c(f))?
-961*f**4 - 124*f**3 - 4*f**2
Let m(c) = 18207*c**2 - 9695*c**2 - 9909*c**2. Let l(j) = 3*j. Calculate m(l(w)).
-12573*w**2
Let l(x) = 4*x. Let y(b) = -4810*b**2 - 494*b - 14. Let c(o) = 2404*o**2 + 212*o + 6. Let a(z) = -7*c(z) - 3*y(z). Give l(a(m)).
-9592*m**2 - 8*m
Let i(h) = 3*h**2 + 8*h - 95. Let d(k) = -168*k**2 + 85*k**2 + 78*k**2 + 3*k**2. Calculate i(d(b)).
12*b**4 - 16*b**2 - 95
Suppose 5*u = -4 - 16. Let m be (-4)/8*u*7 - 1. Let t(y) = 20*y - 6*y - m*y. Let z(j) = -3*j. Give z(t(b)).
-3*b
Let u(f) = -15*f**2 - 3*f. Let y = 237 - 235. Let s(q) = q**2 - 8*q**y + 13*q**2 - 4*q**2. Calculate s(u(g)).
450*g**4 + 180*g**3 + 18*g**2
Let l(a) = 9761411*a. Let x(j) = j. What is x(l(c))?
9761