2
Let t(q) = q. Suppose c + 4*c = 4*c. Let j(u) be the first derivative of c*u - 1 + 0*u**2 - 5/3*u**3. Give t(j(x)).
-5*x**2
Let n(o) = -6*o. Let k(x) = 1 - 27*x + 25*x - 1. Give k(n(y)).
12*y
Let p(m) = 14*m**2. Let q(x) = -5*x**2. Let i(u) = 4*p(u) + 11*q(u). Let b(z) = 8*z. Calculate i(b(v)).
64*v**2
Let r(u) be the first derivative of -u**2 + 1. Let f(m) be the third derivative of m**5/12 - 8*m**2 - 3*m. What is f(r(p))?
20*p**2
Let k(l) = -28*l. Let n(w) = -9*w. Let m(x) = -3*k(x) + 10*n(x). Let c(j) = 5*j**2 + 7*j. Let h(t) = -2*t**2 - 3*t. Let i(o) = -3*c(o) - 7*h(o). Give i(m(u)).
-36*u**2
Let p(a) = -a**2 + 2. Let z(y) = 3*y**2 - 7. Let j(f) = 7*p(f) + 2*z(f). Let u(v) = v + 1. Let g(c) = -9*c - 12. Let t(q) = -g(q) - 12*u(q). What is t(j(h))?
3*h**2
Let q(n) = -3285*n. Let y(s) = -2*s**2. Determine q(y(c)).
6570*c**2
Suppose 0 = -2*l + 3*l - 3. Let n(c) = 4*c**2 + c**2 - l*c**2. Let p(y) = -4*y**2 + 4 - 4. Give p(n(j)).
-16*j**4
Let w(d) = 5*d + 7. Let o(t) = -3*t - 4. Let m(k) = -7*o(k) - 4*w(k). Let c(f) be the first derivative of f**2/2 + 6. What is m(c(u))?
u
Let k(x) = x. Let g(d) be the first derivative of 0*d**2 - 2/3*d**3 + 0*d - 4. Determine k(g(z)).
-2*z**2
Let y(z) be the third derivative of -z**5/20 + 2*z**2. Let k be 20/(-8)*(-4)/5. Let u(j) = 3 - k*j + j - 3. What is y(u(m))?
-3*m**2
Let m(w) be the third derivative of 0*w + 0 + 0*w**3 + 1/30*w**5 + 0*w**4 - 5*w**2. Let r(b) = 11*b. Determine m(r(z)).
242*z**2
Let p = 5 + -3. Let o(h) = 3*h**p - 9*h - 4*h**2 + 9*h. Let r(c) = 3*c**2. Determine o(r(n)).
-9*n**4
Let z(r) = 1. Let p(t) = -t**2 - 4. Suppose -5*o - 2*y - 26 = 0, 0*y + 6 = -2*y. Let g(k) = o*z(k) - p(k). Let v(u) = 2*u + 2 + 5 - 7. Determine g(v(m)).
4*m**2
Let f(i) = -3*i**2. Let n(c) be the second derivative of c**3/6 - c**2/2 - 4*c. Let x(l) = -l**2 + 2*l - 2. Let k(s) = -6*n(s) + 3*x(s). Calculate k(f(h)).
-27*h**4
Let o(l) = -2*l**2. Let k(x) = -x**3 - 8*x**2 - 7*x + 2. Let h be k(-7). Let c(v) be the first derivative of -2 + 0*v**2 - 2*v**2 + v**h. What is o(c(i))?
-8*i**2
Let s be (-2)/17 - (-276)/612. Let f(q) be the first derivative of 0*q + 2 - s*q**3 + 0*q**2. Let r(l) = 2*l. Determine f(r(b)).
-4*b**2
Let n(p) = -388*p. Let r(a) = -14*a**2. What is r(n(u))?
-2107616*u**2
Let n(t) = -t - 5. Let y(v) = -2. Let f(a) = -2*n(a) + 5*y(a). Suppose 5*z - z = 0. Let b(c) = -c + c - c + z. Determine b(f(u)).
-2*u
Let j(d) = -7*d**2 + 2*d - 2*d + 6*d**2. Let c(f) = -6*f - 4. Let m(b) = -3 + 5 - 1 + b. Let l(x) = c(x) + 4*m(x). Determine j(l(v)).
-4*v**2
Let f(d) = -786*d. Let v(i) = -13*i. Calculate f(v(z)).
10218*z
Let c(h) = 15*h. Let l(w) = 5*w - 5. Give c(l(d)).
75*d - 75
Let l(q) be the first derivative of q**2 - 7. Let y(f) = -6*f + 7. Let n(j) = -3*j + 4. Let k(d) = 7*n(d) - 4*y(d). Determine l(k(m)).
6*m
Let p(f) = 2*f**2. Let l(m) = -2*m**3 - 2*m**2 - m. Let h be l(-1). Let q(d) = d - 1. Let j(r) = -6*r + 9. Let i(b) = h*j(b) + 9*q(b). What is p(i(t))?
18*t**2
Let t(r) = -r**2 - r**2 + 3*r**2. Let m(c) = c + 3*c + c. Give t(m(a)).
25*a**2
Let x(i) = -5*i - i + 3*i - 3*i. Let k(a) = -260 - a + 260. Give k(x(d)).
6*d
Let w(a) = 3*a**2 - 6. Let j be (-2 - 8/2)*1. Let v(g) = -6*g**2 + 11. Let c(f) = j*v(f) - 11*w(f). Let b(t) = 2*t**2. Give c(b(k)).
12*k**4
Let i(z) = z. Let u(s) be the third derivative of 1/12*s**5 + 0*s + 0*s**4 + 5*s**2 + 0 + 0*s**3. Calculate u(i(o)).
5*o**2
Let q(r) = r + 4. Let j(c) = -2. Let m(h) = 4*j(h) + 2*q(h). Let v(a) = -a**2. Determine m(v(l)).
-2*l**2
Let d(l) = 979*l. Let z(h) = 5*h. Give z(d(w)).
4895*w
Let m(o) = -13*o. Let z(k) = -25*k. Let r(g) = 5*m(g) - 3*z(g). Let x(w) be the second derivative of w**4/6 + 2*w. Determine x(r(c)).
200*c**2
Let b(p) = -3*p**2. Let x(j) be the first derivative of j**3 + 8. Give b(x(q)).
-27*q**4
Let w(s) = -s**2. Let q(t) be the third derivative of -8*t**5/15 - 30*t**2. Determine q(w(f)).
-32*f**4
Let p(h) = -42*h. Let v(r) = -2*r**2 - 2*r. What is p(v(j))?
84*j**2 + 84*j
Suppose -2 = d - 4. Let c(z) = 3*z**2 - z - d*z + 3*z. Let y(w) = 2*w - 4. Let k(n) = -4*n + 7. Let a(l) = 4*k(l) + 7*y(l). What is a(c(x))?
-6*x**2
Let y(k) = 0*k**2 - 60 - 2*k**2 + 60. Let z(p) be the second derivative of -p**4/8 - p**2/2 - p. Let s(l) be the first derivative of z(l). What is y(s(b))?
-18*b**2
Let j be 1*((-1)/(-1) + -1). Suppose 4*k - 12 = -j*k. Let d(r) = -k*r**2 + 7*r**2 + 0*r**2. Let i(g) = -2*g**2. Determine d(i(o)).
16*o**4
Let g(c) = -5*c. Let p(h) be the third derivative of h**4/6 - 3*h**2. Let i(d) = -10*d. Let v(o) = 5*i(o) + 12*p(o). What is g(v(r))?
10*r
Let b(r) = -16*r**2. Let n(k) = k**2 - 15. Determine b(n(u)).
-16*u**4 + 480*u**2 - 3600
Let z(k) = 0*k**2 - k**2 + 6*k**2. Let m(n) = -4*n**2. Calculate m(z(u)).
-100*u**4
Let y(h) = 2175*h. Let w(s) = -s. Determine w(y(o)).
-2175*o
Let r(l) = -128*l**2 + l - 4. Let x(g) = 2*g. What is x(r(m))?
-256*m**2 + 2*m - 8
Let t(i) = -30*i. Let b(c) = -c. Let h(r) = 100*b(r) - 4*t(r). Let s(g) = -g**2. Determine h(s(d)).
-20*d**2
Let z(i) = 2*i. Let r(m) be the second derivative of -11*m**3/2 + 20*m. Give z(r(x)).
-66*x
Let p(n) be the third derivative of 7*n**5/60 - 26*n**2. Let d(z) = -3*z**2. What is p(d(x))?
63*x**4
Let f(b) = -3*b**2. Let i(a) = -a**2 + 7*a - 3. Determine i(f(t)).
-9*t**4 - 21*t**2 - 3
Let u(l) = -4*l**2 + 4*l**2 + 3*l**2 - l**2. Let a(z) = 6*z. What is a(u(x))?
12*x**2
Let t(i) = i. Let o(u) be the third derivative of -3*u**5/20 + u**3/6 + 39*u**2. Calculate t(o(y)).
-9*y**2 + 1
Let y(m) = 7*m**2. Let q(a) = 895*a**2. Determine y(q(u)).
5607175*u**4
Let u(w) = 75*w**2 + 71*w**2 - 152*w**2. Let k(l) = l**2. What is k(u(g))?
36*g**4
Let f(c) = 10*c - 12*c + 6*c. Let n(m) = 8*m. What is n(f(p))?
32*p
Let a(v) = 5*v**2. Let x(i) = -i - 2. Let y(b) = -2*b - 5. Let j(o) = -10*x(o) + 4*y(o). Give a(j(d)).
20*d**2
Let z be 5/3 - (-2)/6. Let f(p) = 4*p**z - 4*p**2 - 2*p**2. Let n(c) = 0*c**2 - 3 + 3 + c**2. Calculate n(f(b)).
4*b**4
Let l(f) be the first derivative of 3*f**2/2 - 3. Let x(a) = 2*a. Let d(p) = -3*l(p) + 5*x(p). Let j(m) = -3*m**2. Give j(d(c)).
-3*c**2
Let d(y) = -3*y. Let s(g) = -2*g**2 + 0*g**2 - 13*g**2. Calculate d(s(w)).
45*w**2
Let j(f) = -f. Let w(h) = 0*h + 6*h**2 + 3*h - 3*h. Give w(j(c)).
6*c**2
Let z(i) = -4*i - 2. Let t(q) = 4*q + 3. Let m(o) = 2*t(o) + 3*z(o). Let j(p) = -p. Let d(a) = 8*a. Let f(x) = -d(x) - 6*j(x). What is m(f(g))?
8*g
Let s(k) = 2*k**2. Let h(l) = -765*l**2. Calculate s(h(o)).
1170450*o**4
Let q(f) = 4*f**2 + 4*f. Let n(l) = 3*l**2 + 5*l. Let j(w) = 4*n(w) - 5*q(w). Let z(b) be the first derivative of b**2 - 3. Calculate z(j(m)).
-16*m**2
Let r(s) = s. Let q(l) = 2*l - 213. Calculate r(q(c)).
2*c - 213
Let i be ((-4)/14)/((-16)/112). Let w(p) = -p + p + i*p. Let l(k) = -k. Give l(w(v)).
-2*v
Let j(n) = -25*n. Let s(r) = -12*r. Calculate s(j(z)).
300*z
Let z(x) = 3*x**2. Suppose -3 - 11 = -4*k + o, -o = -5*k + 17. Let r(h) = -k*h + 3*h - h. Calculate z(r(j)).
3*j**2
Let w be ((-3 - -3)/(-1))/(-1). Suppose 0*h + 5*h - 25 = w. Let b(j) = 5 - h - 2*j. Let o(d) = 2*d**2. Give b(o(l)).
-4*l**2
Let j be -5*(2 - (-13)/(-5)). Let r = 5 - j. Let c(m) = -m - 3*m - 2*m + r*m. Let l(f) = 2*f. What is l(c(z))?
-8*z
Let c(m) = -6*m**2. Suppose -2 = -v + 3. Let j(b) = b**2. Let p(a) = v*j(a) + c(a). Let x(d) = -4*d. What is x(p(q))?
4*q**2
Let i be 4/(-14) - 256/(-14). Let m = -44 + 62. Let g(a) = i - a - m. Let n(u) = 2*u**2. What is g(n(p))?
-2*p**2
Let r(m) = m**2. Let c(i) = -669*i. Calculate r(c(j)).
447561*j**2
Let b(i) = -49*i. Let c(v) = v**2 - 5*v. Give c(b(h)).
2401*h**2 + 245*h
Let k(r) = -4*r**2 + 3 + 13*r**2 - 5*r**2. Let b(n) = 4*n**2 + 4. Let s(q) = -6*b(q) + 8*k(q). Let o(p) = -2*p**2. Calculate s(o(m)).
32*m**4
Let n(m) = 3*m**2. Suppose r + 5*h = 28 - 8, 2*h - 8 = r. Let y = r + 2. Let q(z) = 5*z - y*z - z. Determine n(q(j)).
12*j**2
Let d(a) = a**2. Let s(p) = 4*p + 15. Calculate s(d(b)).
4*b**2 + 15
Let c(q) = 2*q. Let n(h) = h - 7. Determine n(c(i)).
2*i - 7
Let f be 5/(4/(-1 + -11)). Let o(x) = 12*x. Let a(d) = 3*d. Let k(j) = f*a(j) + 4*o(j). Let l(u) = u. What is k(l(n))?
3*n
Let n(u) = -u**2 - 5 + 5 + 0. Let a(j) = -18*j**2. What is n(a(v))?
-324*v**4
Let q(i) = -10 - i - 12 + 22. Let a(y) = y + 1. Let w(f) = -17*f - 6