248*l + 2
Let j(p) be the first derivative of -1 + 0*p - 1/2*p**2. Let y(h) = 3*h. Determine j(y(l)).
-3*l
Let p(c) = -3*c**2 + 3. Let v(k) = 3*k**2 - 2. Let g(s) = -2*p(s) - 3*v(s). Let u(m) = -14*m. Give u(g(l)).
42*l**2
Let k(i) be the third derivative of -1/24*i**4 + 0*i**3 + 0*i + i**2 + 0. Let t(u) = 1 - 1 + 4*u. What is k(t(o))?
-4*o
Let n be ((-18)/27)/(1/(-3)). Let m(k) = k - 3*k + n*k - 2*k. Let q(t) = 7*t**2. Give q(m(b)).
28*b**2
Let x(m) be the third derivative of m**5/60 - 35*m**2. Let g(s) = -26*s. Give x(g(l)).
676*l**2
Let z(s) be the third derivative of -s**6/360 + s**4/8 - 3*s**2. Let p(u) be the second derivative of z(u). Let t(w) = -w. What is p(t(b))?
2*b
Let r(n) = 9*n. Let j(i) = -1 - 1 - 3*i**2 + 2. Calculate j(r(p)).
-243*p**2
Let l(f) be the first derivative of f**4/24 + 3*f**2/2 - 6. Let d(q) be the second derivative of l(q). Let j(b) = 8*b. What is j(d(n))?
8*n
Let w(b) = 4423*b**2. Let k(a) = 7*a**2. Determine w(k(p)).
216727*p**4
Let v(j) = -2*j. Let y(c) be the first derivative of -c**6/120 - 2*c**3/3 - 3. Let w(p) be the third derivative of y(p). Calculate w(v(s)).
-12*s**2
Let s(b) = 2*b**2. Let m(v) = v**3 - 4*v**2 - 5*v + 7. Let w be m(5). Let z(y) = 3*y - w*y + 3*y. Calculate s(z(n)).
2*n**2
Let j = 11/24 - 1/8. Let n(t) be the second derivative of 0*t**2 - t + j*t**3 + 0. Let o(u) = -2*u**2. Determine o(n(g)).
-8*g**2
Let f(x) = -43*x. Let h(r) = -6*r. What is f(h(q))?
258*q
Let g(v) = -4*v**2. Let x(f) = -14*f - 113. Give g(x(c)).
-784*c**2 - 12656*c - 51076
Let h(l) = -1. Let m(k) = 8*k**2 - 12. Let t(g) = -12*h(g) + m(g). Let f(n) = 4*n + 7*n - 9*n. Calculate t(f(c)).
32*c**2
Let r(w) = -19*w**2. Let t(n) = -41*n. Calculate r(t(a)).
-31939*a**2
Let i(s) = -s. Let l(o) = -8588*o**2. Give l(i(r)).
-8588*r**2
Let l(k) = k. Let x(s) = 185*s. Determine x(l(y)).
185*y
Let u(t) = -t**2. Let f(k) = -6*k**2 - 15. Determine u(f(r)).
-36*r**4 - 180*r**2 - 225
Let n(c) = -5*c + 3*c + 2*c + 3*c. Let y(d) be the third derivative of d**6/180 + d**3/6 + d**2. Let v(j) be the first derivative of y(j). Calculate n(v(p)).
6*p**2
Let d(g) = 6*g. Let r(p) be the second derivative of -p**4/3 + 8*p. What is r(d(w))?
-144*w**2
Let t(x) = -26*x**2. Let g(r) = 4*r. Calculate t(g(d)).
-416*d**2
Let d(q) = -30*q - 5. Let g(a) = a**2. Give g(d(p)).
900*p**2 + 300*p + 25
Let a(f) = f**2. Let q(k) = -4*k**2 + 2*k - 2. Suppose o = 2*o - 2. Let x(i) = 5*i**2 - 3*i + 3. Let d(g) = o*x(g) + 3*q(g). Give d(a(h)).
-2*h**4
Let f(g) be the second derivative of 2*g**3/3 - 3*g. Let p(u) be the first derivative of u**3/3 + 2. Calculate f(p(w)).
4*w**2
Let o(m) = 2*m**2. Let z(y) = -6*y**2 - 2*y. Let f(q) = -13*q**2 - 5*q. Let r(l) = -2*f(l) + 5*z(l). What is o(r(a))?
32*a**4
Let w(p) = 790*p**2. Let g(n) = 2*n. Determine g(w(q)).
1580*q**2
Let r(p) = 22*p. Let j(i) be the third derivative of i**5/60 + 10*i**2. Determine j(r(v)).
484*v**2
Let r(m) = 9*m. Let l(q) = -5*q**2 - q**2 - 9*q**2 + 13*q**2. Calculate l(r(a)).
-162*a**2
Let h(q) = -2*q**2. Suppose -2 = -40*x + 39*x. Let s(c) be the third derivative of -1/12*c**4 + 0 + 0*c + 3*c**x + 0*c**3. Calculate h(s(z)).
-8*z**2
Let i(z) = -84 + 3*z - 85 + 169. Let x(o) = 7*o**2. What is x(i(m))?
63*m**2
Let z(y) = -2*y**2. Let d(p) be the third derivative of 0 + 0*p + 2*p**2 + 0*p**3 - 1/8*p**4. Calculate z(d(m)).
-18*m**2
Let r(p) = -8*p. Let b(u) be the third derivative of 7*u**4/24 + 4*u**2. Give r(b(q)).
-56*q
Let i(v) = -8*v**2 - 7*v - 7. Let f(h) = 5*h**2 + 5*h + 5. Let w(k) = -7*f(k) - 5*i(k). Let y(r) be the first derivative of -r**2/2 - 2. Calculate y(w(t)).
-5*t**2
Let f(x) = -30*x**2 + 9. Let v(j) = j**2. Give f(v(a)).
-30*a**4 + 9
Let j(b) be the second derivative of b**3/2 - 6*b. Let p(m) = 5*m**2. What is p(j(v))?
45*v**2
Let i(o) = 14 - 14 + o. Let l(z) = -z**2 - z - 1. Let d(g) = -6*g**2 - 5*g - 5. Let k(c) = d(c) - 5*l(c). What is i(k(h))?
-h**2
Let t(m) = -2*m**2. Let v(w) be the first derivative of -3/2*w**2 + 1 + 0*w. Calculate v(t(d)).
6*d**2
Let x(k) = -k - 3 + 3. Let z(b) = -13*b. Let r(j) = -3*j. Let i(u) = -18*r(u) + 4*z(u). Give i(x(g)).
-2*g
Let j(a) = 19*a - 5. Let m(n) = 285*n - 76. Let r(c) = -76*j(c) + 5*m(c). Let u(w) = -3*w. What is r(u(z))?
57*z
Let b(i) = i + 2*i + 4*i - 4*i. Let l(j) = 6*j. Calculate l(b(v)).
18*v
Let w(h) = -2*h. Let d(f) = 3*f. Let v(b) = -4*d(b) - 5*w(b). Let o(x) = 15*x. Calculate v(o(a)).
-30*a
Let d(q) = 3*q**2. Suppose 2*r + 0*r = 0. Let p(i) = i + r*i + i. What is p(d(f))?
6*f**2
Let y = -7 - -9. Let v(r) be the first derivative of 1/3*r**3 - y + 0*r + 0*r**2. Let l(x) = x**2. What is v(l(s))?
s**4
Let b(l) = l. Let c(z) = -8*z**2 + 5*z - 6. Let w(h) = -6*h**2 + 4*h - 6. Let s(y) = 4*c(y) - 5*w(y). Determine b(s(u)).
-2*u**2 + 6
Let y(b) be the second derivative of 35*b**3/6 - 22*b. Let s(t) = -t**2. Determine y(s(m)).
-35*m**2
Let o(t) = 23*t**2 - 11*t**2 - 14*t**2. Let p(k) = -141*k. Calculate p(o(j)).
282*j**2
Let g(d) = -22*d**2 + 9*d**2 + 10*d**2. Let v(x) = -3*x**2. Determine g(v(f)).
-27*f**4
Let u(g) = -7*g**2 - 14*g - 14. Let y(v) = v**2 + v + 1. Let p(k) = u(k) + 14*y(k). Let q(f) = -f**2. Determine q(p(w)).
-49*w**4
Let v(c) = 1. Let z(q) = q**2 + 7. Let t(w) = 14*v(w) - 2*z(w). Let h(r) = 12*r. What is h(t(x))?
-24*x**2
Let u(h) = -h. Let l(g) be the second derivative of 0*g**3 + 0*g**2 + 0 - 6*g - 1/4*g**4. Calculate u(l(c)).
3*c**2
Let v(a) = a**2. Let z(x) be the first derivative of x**4/12 + 3*x**2 - 2. Let t(c) be the second derivative of z(c). What is v(t(j))?
4*j**2
Let z(n) be the first derivative of -n**4/24 - n**2/2 - 3. Let j(f) be the second derivative of z(f). Let x(y) = y**2. What is j(x(m))?
-m**2
Let h(y) = -875*y**2. Let t(r) = -19*r. What is t(h(l))?
16625*l**2
Let a(f) = -9*f - 1. Let q(s) = s**2 + 97*s - 202*s + 105*s. What is a(q(l))?
-9*l**2 - 1
Let l(g) = -3*g - 429. Let w(f) = -6*f**2. Give l(w(v)).
18*v**2 - 429
Let j(y) = 2*y. Let k(d) = 8*d - d + d**2 - 3*d. Let t(q) = -q. Let s(r) = -k(r) - 4*t(r). Calculate s(j(h)).
-4*h**2
Let u(n) = -n. Let o(z) = -11*z**2. Let a(s) = -54*s**2. Let f(q) = -3*a(q) + 14*o(q). Determine u(f(d)).
-8*d**2
Let m(y) = 8*y**2. Let j(q) = -8*q. Let x(z) = -3*z. Let b(l) = 5*j(l) - 14*x(l). Give b(m(n)).
16*n**2
Let b(d) = d**3 - 3*d + 3. Let r be b(2). Let t(i) = 5 + 3*i - r. Let y(l) = l. What is y(t(j))?
3*j
Let w(f) = -1 + 1 + 7*f. Let t(d) = 32*d - 32*d + d**2. Calculate w(t(c)).
7*c**2
Let u(g) = 3*g - 9. Let n(w) = -33*w. Give n(u(a)).
-99*a + 297
Let b(a) = 5*a - 2*a + a - a. Let x(n) = -3*n. Determine b(x(g)).
-9*g
Let l(s) = -3*s. Let u(f) = -511*f**2 - 2*f. What is u(l(v))?
-4599*v**2 + 6*v
Let a(c) be the third derivative of c**5/10 + c**2 + 2*c. Let t(x) = -8*x. Give a(t(d)).
384*d**2
Let a(z) = 4*z. Let f(c) = 2*c**2 - 5*c + 6. Let o(n) = n**2 - 2*n + 3. Let l(k) = -2*f(k) + 5*o(k). Let j(y) be the first derivative of l(y). What is a(j(r))?
8*r
Let c(v) = 17*v. Let y(l) = 22*l**2 - 45*l**2 + 21*l**2. Calculate c(y(i)).
-34*i**2
Let a(c) = 3*c**2. Let j(q) = 7*q - 329. Calculate a(j(n)).
147*n**2 - 13818*n + 324723
Let o(d) = 4*d. Let j(m) = -69*m + 46. Let a(f) = -2*f + 1. Let y(w) = 46*a(w) - j(w). What is o(y(c))?
-92*c
Let g(m) = -11*m. Let l(k) = 0*k + 6*k - k - 8*k. Determine l(g(y)).
33*y
Let i(c) = -10*c - 14. Let t(g) = 2*g + 3. Let b(x) = -6*i(x) - 28*t(x). Let s(u) = -2*u**2. What is b(s(q))?
-8*q**2
Suppose 0 = -2*q - c - 0 + 2, 2 = -3*q + c. Let n(l) = q*l + l + 0*l. Let i(r) be the second derivative of r**3/3 - r. What is i(n(b))?
2*b
Let l(n) = -6*n**2 - 17*n - 17. Let c(v) = 2*v**2 + 6*v + 6. Let z = -14 + 20. Let y(q) = z*l(q) + 17*c(q). Let s(t) = -1 + 1 + t**2. Determine y(s(d)).
-2*d**4
Let j(s) = 1688*s. Let w(y) = y**2. Calculate j(w(v)).
1688*v**2
Let p be 5 - (2 + -3)*-1. Let b(k) = 3*k**2. Let o(x) = 3*x**2. Let f(s) = p*b(s) - 6*o(s). Let d(a) = a**2. Calculate f(d(t)).
-6*t**4
Suppose -5*s - 2*d = 4, d = 2*s + 5*d + 8. Let z(b) be the first derivative of s*b + 5/2*b**2 - 2. Let u(m) = m. Determine u(z(y)).
5*y
Let c(j) = j. Let m(o) = -4*o. Let b(y) = 6*c(y) + m(y). Let g(k) = k. Give g(b(d)).
2*d
Let w(a) = -2*a**2. Let q(b) = 9 - 3*b - 9. Determine w(q(c)).
-18*c**2
Let m(y) = -4*y - 6*y + 2*y. Let d(c) = 2*c. Give d(m(b)).
-1