 2
Let f(p) be the third derivative of -p**6/360 - p**3/2 + 7*p**2. Let x(t) be the first derivative of f(t). Let b(h) = -2*h**2. Determine b(x(y)).
-2*y**4
Let h(j) = 154*j. Let d(a) = -62*a. Let z(c) = 12*d(c) + 5*h(c). Let f(v) = -3*v**2. Give z(f(t)).
-78*t**2
Suppose 0 = u + 1 + 2. Let i(k) = 5*k. Let q(j) = -j. Let v(a) = u*q(a) - i(a). Let h(l) = -3*l + 3*l - 2*l**2. Determine h(v(s)).
-8*s**2
Let m(g) = 2*g. Let s(w) = -94*w. What is s(m(q))?
-188*q
Let w(p) = -29*p**2. Let m(k) be the third derivative of -k**4/6 - 28*k**2. Determine w(m(c)).
-464*c**2
Let y(s) = -38*s**2 + 76*s**2 - 47*s**2. Let n(r) = -7*r. Determine y(n(c)).
-441*c**2
Let m(z) be the third derivative of z**5/60 + 4*z**2. Let o(x) = -4*x. Give o(m(v)).
-4*v**2
Let v(c) = 6*c - 9. Let n(p) = 2*p. Give n(v(x)).
12*x - 18
Let i(p) = 3*p**2. Let m(f) = f**2 + 4*f + 4. Let o(d) = -5*d - 5. Let q(t) = 5*m(t) + 4*o(t). What is q(i(j))?
45*j**4
Let o(p) = -2*p. Let t(u) = 369*u**2. What is o(t(x))?
-738*x**2
Let q(d) = 3*d**2. Let y(h) be the first derivative of h**2/2 - 2. Calculate y(q(m)).
3*m**2
Let f(i) = -3*i**2. Let n(b) = -106*b. Give f(n(a)).
-33708*a**2
Let t(r) = 56*r**2. Let m(b) = -25*b**2 + 1. Calculate m(t(s)).
-78400*s**4 + 1
Let u(q) = 6*q**2 + 8. Let v(a) = -2*a**2 - 3. Let p(t) = -3*u(t) - 8*v(t). Let z(x) = 10*x**2. Calculate z(p(s)).
40*s**4
Let v be ((-24)/(-20))/2*5. Let z(t) = 3*t**2 + v*t**2 - 8*t**2. Let d(u) = -6*u. Let w(h) = -4*h. Let o(l) = 5*d(l) - 7*w(l). Calculate z(o(c)).
-8*c**2
Let p(q) = -q**2. Let y(w) = 26*w**2. What is p(y(k))?
-676*k**4
Let j(x) = x. Let s(q) = 317*q. Determine s(j(c)).
317*c
Let p(i) = -i**2. Let g(o) = -8823 + 79*o**2 + 8823. Determine p(g(u)).
-6241*u**4
Let d(j) = 5*j**2. Let a(g) = 15*g**2 + 7*g - 7. Let i(t) = -5*t**2 - 2*t + 2. Let l(x) = 2*a(x) + 7*i(x). What is d(l(c))?
125*c**4
Let w(j) = -4*j. Let n(s) = 2972*s. What is w(n(l))?
-11888*l
Let z(h) = 4*h**2. Let u(f) = -119*f + 2. Calculate z(u(v)).
56644*v**2 - 1904*v + 16
Let r(y) = y. Let m(b) = -17*b**2 + 7*b. Let a(v) = -12*v**2 + 5*v. Let q(d) = 7*a(d) - 5*m(d). Calculate q(r(g)).
g**2
Let q(j) be the second derivative of 0 + 3*j + 1/4*j**4 + 0*j**3 + 0*j**2. Let w(l) be the third derivative of l**5/30 - 2*l**2. Determine w(q(o)).
18*o**4
Let w(i) = 29*i**2. Let b(n) = 23*n**2. What is b(w(y))?
19343*y**4
Let t(h) = -641*h**2. Let m(n) = -n**2. What is t(m(d))?
-641*d**4
Let m(j) = -j. Let i(c) = -7*c**2 - 210*c. What is i(m(x))?
-7*x**2 + 210*x
Let m(w) = -3*w**2. Let l(t) = 5*t**2 - 3*t - 3. Let d be l(6). Let s(o) = -d - o + 159. What is m(s(u))?
-3*u**2
Let x(t) = 4*t. Let l(v) = 2178*v**2. Determine x(l(z)).
8712*z**2
Let m(y) = -14*y**2. Let o(b) = b**2. What is o(m(l))?
196*l**4
Let z(x) be the second derivative of x**3/6 - x. Let u(n) = -38*n**2 + 8*n**2 + 11*n**2 + 9*n**2. Calculate z(u(k)).
-10*k**2
Suppose 3*g + 1 = -2. Let z be (g + 2)/(3/21). Let s(m) = -4*m - m + z*m. Let f(p) = -3*p. What is f(s(k))?
-6*k
Let v(m) = -7*m**2. Let r(f) = 42*f**2. Determine v(r(w)).
-12348*w**4
Let q(r) = r**2. Let n(z) = -7*z**2 - 3*z - 3*z + 6*z. What is n(q(s))?
-7*s**4
Let t(y) = 1 - 1 + 2*y. Let r(f) be the third derivative of 8*f**2 + 0*f**3 + 0*f + 0 + 0*f**4 - 1/30*f**5. Calculate t(r(k)).
-4*k**2
Let z(p) = -3*p + 4. Let q(a) = 8*a - 11. Let g(k) = -4*q(k) - 11*z(k). Let t(u) = -11*u**2. Determine g(t(d)).
-11*d**2
Let g(u) = 58*u**2. Let o(f) = -f**2. Give o(g(x)).
-3364*x**4
Let s(q) = 6*q**2 + 5. Let v(j) = -21*j**2 - 18. Let a(m) = -18*s(m) - 5*v(m). Let r(w) = -3*w**2. Give a(r(z)).
-27*z**4
Let n(q) be the third derivative of -2*q**2 + 0*q + 0 - 1/24*q**4 + 0*q**3. Let u(d) = -2*d**2. Give n(u(s)).
2*s**2
Let c(x) = -4 + 4 + 7*x - 8*x. Let b(f) = -6*f. Calculate c(b(l)).
6*l
Let w(m) = -m**2. Let o(t) = 240*t**2 - t. Calculate o(w(d)).
240*d**4 + d**2
Let h(n) = -30*n. Let x(q) = -353 - 2*q + 353. Give h(x(z)).
60*z
Let b(w) = w**2. Let z(r) = -3*r**2 + 3*r. Let j(m) be the third derivative of m**5/20 - m**4/12 + 9*m**2. Let y(d) = -3*j(d) - 2*z(d). Calculate b(y(s)).
9*s**4
Let o(i) = i**2. Let c(w) = 881*w**2. Give c(o(y)).
881*y**4
Let s(v) = 6908 - 6908 - 2*v. Let i(j) = -3*j**2. Determine i(s(a)).
-12*a**2
Let c(g) = 193*g**2. Let m(o) = 4*o. What is c(m(u))?
3088*u**2
Let p(a) = 5*a + 2 + 5*a + 2 - 4*a. Let f(y) = 11*y + 7. Let t(s) = -4*f(s) + 7*p(s). Let g(h) = 9*h. What is g(t(k))?
-18*k
Let q(w) = -41*w - 2. Let s(d) = d. Determine s(q(i)).
-41*i - 2
Let b(v) = -2*v**2. Let m(x) = -15*x**2 + 10*x**2 - 5*x**2. Determine b(m(t)).
-200*t**4
Let w(o) = o**2 + 5. Let i(x) = 4. Let f(a) = 5*i(a) - 4*w(a). Let u(d) = -d**2 + d**2 - d**2. What is u(f(q))?
-16*q**4
Let b(r) = 15*r**2. Let h(w) = 5*w**2 + 14*w. Determine h(b(i)).
1125*i**4 + 210*i**2
Let k(r) = -3*r + 2*r + 0*r. Let t(x) = x - x - 8*x**2 + 7*x**2. Give k(t(v)).
v**2
Let y(k) = -5*k**2. Let a = 3 + -7. Let g(i) = 9*i**2. Let m(r) = a*g(r) - 7*y(r). Let z(h) = 4*h. Determine m(z(d)).
-16*d**2
Let t(a) = -8*a + 1. Let c(s) = -4*s. Determine c(t(g)).
32*g - 4
Let b(v) = -9*v. Let r(g) be the third derivative of g**4/24 - 5*g**2. Calculate r(b(i)).
-9*i
Let l(g) = 58 - 3*g**2 - 33 - 25. Let w(a) = 2*a + 4*a - 4*a. Give l(w(d)).
-12*d**2
Let d(k) = -118*k**2 - 2*k + 2*k + 113*k**2. Let m(j) = 6*j. Calculate d(m(i)).
-180*i**2
Let d(i) = -2*i**2. Let l = -5 - -7. Let p(z) = z + l*z - 6*z. Calculate d(p(q)).
-18*q**2
Let u(v) = v + 70*v**2 - 68*v**2 - v. Let i(y) = 2*y**2 - 2*y**2 - 2*y**2. Calculate u(i(h)).
8*h**4
Let n(d) = 7*d**2. Let w(j) = 2*j - 2. Let s be w(2). Let g(h) = 4*h**2 + s*h**2 - 2*h**2 - 3*h**2. Calculate g(n(b)).
49*b**4
Let m(o) = -174*o**2. Let x(r) = -5*r**2. Give x(m(c)).
-151380*c**4
Suppose 0 = -2*c + 3*c. Let y(x) = -3*x + 4*x + c*x. Let r(n) = -2*n**2 - 2*n. Let h(d) = -d. Let j(i) = -6*h(i) + 3*r(i). Give y(j(p)).
-6*p**2
Let d(h) = -3*h. Let g(r) = -340*r**2. Calculate g(d(f)).
-3060*f**2
Let s(i) = -4*i. Let y(x) = 304*x. Give s(y(f)).
-1216*f
Let w(y) = y**2. Suppose 3*c - 5 = 4. Let g(x) be the second derivative of 0*x**c + 0 + 1/6*x**4 - 2*x + 0*x**2. What is w(g(h))?
4*h**4
Let k(a) = -2*a. Let p(m) = 610*m. Determine k(p(w)).
-1220*w
Let f(k) = 2*k**2. Let m(u) = 52*u. Give m(f(c)).
104*c**2
Let q(f) = 44*f**2 + 42*f**2 - 87*f**2. Let r(c) = 6*c**2. What is q(r(t))?
-36*t**4
Let o(p) = -2*p**2. Let t(x) = 18*x - 6*x - 12*x - 16*x. Give t(o(d)).
32*d**2
Let n(y) = y**2. Let s(o) be the third derivative of -o**5/30 - 8*o**2. Determine s(n(j)).
-2*j**4
Let s(b) = -b + b + b + 3*b. Let r(w) = 0 + 0 - 12*w + 11*w. Determine s(r(j)).
-4*j
Let w(h) be the second derivative of 0*h**3 + 0 + 1/4*h**4 - 3*h + 0*h**2. Let t(m) = m. Determine w(t(y)).
3*y**2
Let j(q) = 6*q**2. Let y(m) = m + 1. Let x(o) = -o**2 + 11*o + 11. Let p(i) = 4*x(i) - 44*y(i). Calculate j(p(b)).
96*b**4
Let o(c) be the first derivative of 4*c**3/3 + 5. Let q(t) = 2*t**2. Calculate o(q(a)).
16*a**4
Let c(m) = -3 - m**2 + 3 + 2*m**2. Let k(x) = -26*x**2. Calculate c(k(o)).
676*o**4
Let d(i) = i**2. Let t(g) be the third derivative of -11*g**8/20160 + g**5/20 - 7*g**2. Let f(h) be the third derivative of t(h). Give f(d(a)).
-11*a**4
Let b(w) be the third derivative of -w**5/30 + 12*w**2. Let r(q) = q. Calculate r(b(f)).
-2*f**2
Let u(q) = -3*q + 4. Let n(c) = -26*c + 34. Let k(s) = 6*n(s) - 51*u(s). Let o(j) = -4 + 4 + j. What is k(o(z))?
-3*z
Let p(o) = 3*o. Let j = -16 - -11. Let q(l) = -22*l - 16. Let u(f) = 7*f + 5. Let b(s) = j*q(s) - 16*u(s). Give p(b(g)).
-6*g
Let a(y) = 2*y. Let i(w) = 2*w - 22. Let t be i(13). Let u(r) = -3*r - r + t*r - 2*r. Calculate a(u(p)).
-4*p
Let j(t) be the second derivative of t**3/3 + 6*t. Let b(w) be the third derivative of 7*w**5/60 - 2*w**2. Calculate b(j(k)).
28*k**2
Let h(x) = 2*x + 6*x - 5*x - x. Let y(u) be the second derivative of u**3/3 + u. Determine y(h(i)).
4*i
Let g be 2/(-1) - (-7 + 15). Let y(q) = 6*q**2 + 5*q. Let k(a) = -a**2 - a. Let l(x) = g*k(x) - 2*y(x). Let n(b) = -4*b. What is n(l(h))?
8*h**2
Let x(p) be the first derivative of 3 + 0*p**3 + 0*p + 3/2*p**2 - 1/24*p**4. Let i(d) be the second derivative of x(d). Let t(j) = 3*j**2. Give t(i(q)).
3*q**2
Let w(f) = 34*f. Let m(g) = -9*g**2. Calculate m(w(d)).
-10404*d**2
Let t(n) =