- 3 + 7*h. Let p(v) = v - 2. Let k(w) = -2*o(w) + 11*p(w). Let c(l) = 8*l. Determine c(k(t)).
-8*t
Let d(q) = -q. Let n(h) = -9*h - 4. Let o(m) = m - 9. Let s be o(4). Let j be s + 3 - -1*6. Let v(x) = 8*x + 3. Let t(c) = j*v(c) + 3*n(c). Give t(d(w)).
-5*w
Let j(i) = -3*i**2. Let t(h) be the second derivative of -5*h**3 - 4*h. What is j(t(g))?
-2700*g**2
Let t(j) = -7*j. Let u(a) = -166*a**2. What is u(t(d))?
-8134*d**2
Let c(h) be the second derivative of -h**4/12 + h**3/3 - 8*h. Let g(w) = -w**2 + w. Let y(j) = 2*c(j) - 4*g(j). Let q(f) = -5*f. What is y(q(x))?
50*x**2
Suppose -3*x + 3*q + 33 = 0, -4*q - 13 + 1 = 0. Let r(l) = x*l - 8*l + 3*l + 9*l. Let g(w) = -w**2. What is r(g(k))?
-12*k**2
Let k be -1 + (3 - (1 + 1)). Let y(u) = 3*u + u + k*u - 5*u. Let g(j) = j. Determine y(g(f)).
-f
Let j(y) = y**2. Let v(c) = 2*c. Let t(s) = -6*s. Let b(x) = 4*t(x) + 11*v(x). Calculate j(b(n)).
4*n**2
Let v(n) = -2*n**2. Let s(d) = 146*d. Give v(s(x)).
-42632*x**2
Let o(a) = 3*a**2. Let b(l) = 3*l**2. Let v(m) = -6*m**2. Let i(n) = -7*b(n) - 4*v(n). What is o(i(t))?
27*t**4
Let a(x) be the third derivative of -x**5/30 - 5*x**2. Let y(z) = 2*z. Determine y(a(p)).
-4*p**2
Let s(n) = 10*n**2 + 7*n - 7. Suppose 2*d + 2*p + 2 = 6, 5*p = 0. Let i(z) = -3*z**2 - 2*z + 2. Let l(y) = d*s(y) + 7*i(y). Let t(j) = -j. Determine t(l(f)).
f**2
Let l(k) = 5*k. Let o(f) be the second derivative of -f**4/12 - 2*f. What is o(l(u))?
-25*u**2
Let m(t) = t**2. Let y(f) = 21*f + 161. Determine m(y(r)).
441*r**2 + 6762*r + 25921
Let b(t) = t - 7. Let i(v) = -194*v**2. What is b(i(d))?
-194*d**2 - 7
Let o(g) = 24*g. Let c(j) = -128*j. Give c(o(b)).
-3072*b
Let k(l) = 2*l - 4. Let i(m) = -12*m**2. Calculate k(i(g)).
-24*g**2 - 4
Let o(k) = 11*k**2 - 9*k**2 + 5*k**2 + 9*k**2. Let m(z) = 2*z. Give o(m(v)).
64*v**2
Let w(r) be the first derivative of r**3 + 2. Let v(s) = -10 - 4*s + 2*s + 10. Give w(v(x)).
12*x**2
Let t(n) = -n**2. Let q(a) = -826 - 63*a + 826. What is q(t(o))?
63*o**2
Let v(d) = -40*d. Let q(f) = f**2. What is v(q(k))?
-40*k**2
Let i(k) = 2*k. Let y(s) = -2*s**2 + 0*s**2 + 7*s**2. Calculate i(y(x)).
10*x**2
Let k(h) = 8*h + 1. Let m(q) = -17*q. What is m(k(n))?
-136*n - 17
Let j = 6 + 10. Let a(x) = -18*x - 2 + 2 + j*x. Let l(k) = k**2. Let f(i) = -8*i**2. Let u(r) = f(r) + 3*l(r). Calculate a(u(g)).
10*g**2
Let s(q) = 6*q**2. Let f(o) = -14*o**2. Give f(s(v)).
-504*v**4
Let l(i) = 6*i. Let p(r) = -3*r**2 + 21*r. Determine l(p(b)).
-18*b**2 + 126*b
Let t(a) = 16*a. Let y(u) = 95 - 95 - 2*u. Calculate y(t(b)).
-32*b
Let t(l) = -l**3 - l**2 - 2. Let k be t(-2). Let i(y) = -25 + y**k + 25. Let v(d) = -d + 1. Let g(h) = 5*h - 6. Let o(c) = g(c) + 6*v(c). Give o(i(q)).
-q**2
Let k(z) = 2*z**2. Suppose h = -3*j + 3*h + 17, -5*h - 23 = -j. Let l(t) be the first derivative of 0*t**2 - 1/3*t**j - 2 + 0*t. Calculate k(l(n)).
2*n**4
Let n(q) = q - 1. Let c(t) = -82*t + 41. Let x(j) = c(j) + 41*n(j). Let g(p) = -p. What is x(g(l))?
41*l
Let h(l) = l + 15. Let c(b) = -84*b. Determine h(c(f)).
-84*f + 15
Let c(j) be the first derivative of 1/2*j**2 + 1 + 0*j. Let z(p) = -2*p + 2*p - 3*p. Determine z(c(s)).
-3*s
Let z(k) = -29 + 29 + 2*k - 3*k. Let w(m) = -31*m**2. Determine z(w(b)).
31*b**2
Let y(v) = 2*v - 5. Let n(m) = -1. Let o(g) = -5*n(g) + y(g). Let d = 4 + 9. Let h(x) = -8*x - 13 + d. Determine h(o(i)).
-16*i
Let y(u) be the second derivative of -5*u**4/12 - 11*u. Let j(b) = -3*b**2. Determine j(y(a)).
-75*a**4
Let g(d) = -4*d - 5. Let w(z) = z - 1. Let x(c) = -2*c + 3. Let q(t) = 5*w(t) + 2*x(t). Let o(j) = 2*g(j) + 10*q(j). Let r(m) = -3*m**2. Determine o(r(f)).
-6*f**2
Let u(q) be the third derivative of q**5/60 + q**2 + 7. Let b(d) = -d**2 - 11. Determine b(u(w)).
-w**4 - 11
Let f(n) = -2*n. Let y(d) = 13*d**2 + 40*d. Give f(y(x)).
-26*x**2 - 80*x
Let j(w) = -2*w**2. Let k(i) = -59220*i. Determine k(j(l)).
118440*l**2
Let w(c) = -2*c**2 - 3 - 7 + 10. Let d(g) = -16*g**2. Give w(d(f)).
-512*f**4
Let z(h) = -42*h. Let k(b) = -68*b**2. Give k(z(l)).
-119952*l**2
Let r(z) = -z. Let j(u) be the second derivative of 3*u - 1/6*u**3 + 0 + 0*u**2. Give j(r(v)).
v
Let m(g) = 4*g + 2. Let a(s) = 9*s + 5. Let y(i) = -2*a(i) + 5*m(i). Let o(q) = -4*q. Determine y(o(u)).
-8*u
Let h(p) = -376*p**2. Let v(o) = 3*o. Give v(h(k)).
-1128*k**2
Let o(f) = f**2. Let d(h) = 177*h. Calculate d(o(t)).
177*t**2
Let n(r) = -474*r**2. Let s(t) = -2*t**2. Calculate n(s(l)).
-1896*l**4
Let z(i) = 2*i**2 + 4*i + 3. Let q be z(-2). Let v(w) = 12*w - 4*w - 3 + q. Let c(s) = s**2. Give v(c(p)).
8*p**2
Let j(a) = 4322*a. Let v(f) = f**2. Determine v(j(t)).
18679684*t**2
Let n(k) = -26*k. Let y(m) = 15*m**2. Determine n(y(h)).
-390*h**2
Let d(a) = 15*a - 2. Let q(s) = 1394*s - 187. Let f(b) = -187*d(b) + 2*q(b). Let y(o) = 2*o**2. Determine y(f(x)).
578*x**2
Let h(r) be the third derivative of -r**4/8 + 2*r**2. Let g(b) = -b. Let k(z) = 2*z. Let u(o) = -4*g(o) - k(o). What is u(h(d))?
-6*d
Let g(j) = -2*j. Let i(h) = -27*h - 3. Let u(t) = 244*t + 28. Let w(c) = -28*i(c) - 3*u(c). Give w(g(q)).
-48*q
Let g(x) = -4*x**2. Let j(a) be the second derivative of a**4/4 - a. What is g(j(m))?
-36*m**4
Let z(i) = i. Let o(s) = -s. Let l(k) = -6*o(k) - 5*z(k). Let a(p) = 2*p - 3*p + 6*p. Let c(g) = -11*g. Let d(h) = -13*a(h) - 6*c(h). Calculate d(l(b)).
b
Let z(c) = c. Let u(f) = -687*f**2 + 2*f + 1. What is z(u(m))?
-687*m**2 + 2*m + 1
Let z(j) = 5*j**2. Let y(s) = -77*s**2. Give y(z(q)).
-1925*q**4
Let m(r) be the third derivative of r**5/60 + 4*r**2. Let o(n) be the first derivative of -n**3/3 - 5. Give m(o(t)).
t**4
Let p(c) = -2*c**2 - 110*c. Let r(q) = -q**2. Give p(r(h)).
-2*h**4 + 110*h**2
Let f(x) = 192*x. Let k(v) = -3*v. Calculate k(f(c)).
-576*c
Let g(o) = -4*o. Let z(y) = 5*y**2 - 2*y**2 - y**2 + 2*y**2. Give g(z(h)).
-16*h**2
Let z(q) = 5 - 3*q - 5. Let h(w) = -w + 1. Let y(f) = -f + 3. Let c(m) = 3*h(m) - y(m). Calculate z(c(d)).
6*d
Let a(f) = f. Let c(s) be the first derivative of 8*s**3/3 - 9. Give c(a(r)).
8*r**2
Let l(d) = -2*d - 4. Let s be l(-3). Let v(w) = 6*w - s*w - 3*w. Let b(q) = q. Give v(b(t)).
t
Let p(l) be the first derivative of 1/2*l**2 - 5 + 0*l. Let m(g) = -9*g**2. What is p(m(k))?
-9*k**2
Let b(r) = -r**2. Let u(o) be the first derivative of -o**3 + 40. Give b(u(l)).
-9*l**4
Let j(s) = 2*s + 0 + 0. Let x(g) = -2*g. Let b(w) = 2*w - 3. Let o(z) = 6*z - 8. Let u(v) = -8*b(v) + 3*o(v). Let k(d) = -6*u(d) - 5*x(d). Calculate j(k(l)).
-4*l
Let i(g) = -5*g + 1. Let s(a) = 24*a. Give i(s(l)).
-120*l + 1
Let q(d) = d. Let t(z) = -28*z. Give q(t(p)).
-28*p
Let v(a) = 2*a**2. Let n(r) = 4*r**2. Let f(i) = -6*n(i) + 10*v(i). Let w(p) = -2*p. Calculate f(w(l)).
-16*l**2
Let z(x) = -45*x. Let i(n) = -122*n**2. Give z(i(f)).
5490*f**2
Let d(k) be the first derivative of 2/3*k**3 + 2 + 0*k + 0*k**2. Let h(v) = v. Give d(h(l)).
2*l**2
Let c(r) be the third derivative of -r**5/60 - 21*r**2. Let k(g) = -11*g. Calculate k(c(j)).
11*j**2
Let d(q) = -27*q + 18*q + 18*q. Let u(n) = n. Give u(d(p)).
9*p
Let o(v) = 2*v**2. Let c(q) = -46*q + 37*q - 2*q**2 + 0*q**2 - 65*q. What is o(c(s))?
8*s**4 + 592*s**3 + 10952*s**2
Let p(k) = -2*k. Let u(o) = -o**2 + 6*o. Let t(y) = -10*y - 7. Let j(f) = -7*f - 5. Let v(m) = 7*j(m) - 5*t(m). Let d(h) = u(h) - 6*v(h). What is d(p(i))?
-4*i**2
Let n(r) = 2*r. Let h(t) = 346*t + 2. Calculate h(n(j)).
692*j + 2
Let j(g) = -2*g**2. Let y(w) = 5*w**2 - 2. Calculate j(y(d)).
-50*d**4 + 40*d**2 - 8
Let q(n) be the third derivative of 0 + 0*n**3 + 0*n - 1/8*n**4 - 5*n**2. Let x(a) = a + 3. Let o(l) = 2*l + 5. Let r(f) = -3*o(f) + 5*x(f). What is r(q(g))?
3*g
Let y(i) = -2*i. Let k(s) be the first derivative of 115*s**3/3 - 26. Determine k(y(t)).
460*t**2
Let u(h) = -3688*h - 2. Let p(f) = 2*f**2. Give u(p(k)).
-7376*k**2 - 2
Let d(q) = -9*q**2 + 1. Let j(v) = 7*v**2. What is d(j(i))?
-441*i**4 + 1
Let g(m) = -m + 10. Let z(s) = 4*s**2. Give z(g(b)).
4*b**2 - 80*b + 400
Let u(v) = -v**2. Let b(p) be the third derivative of p**4/12 + 17*p**2. What is u(b(o))?
-4*o**2
Let n(b) = -164*b**2 + b + 1. Let r(o) = 2*o. Determine r(n(g)).
-328*g**2 + 2*g + 2
Let w(u) = -5*u. Let b(v) = -v - 1. Let n(s) = -5*s - 2. Let r(a) = -2*b(a) + n(a). Give r(w(o)).
15*o
Let t(c) = -136