 Calculate g(k(t)).
1125*t**2 + 8550*t + 16245
Let j(a) = a**2 + 5. Let k(s) = -2 + 2 - 1 + 2. Let m(l) = j(l) - 5*k(l). Let z(g) be the second derivative of -g**3/6 + 2*g. What is m(z(x))?
x**2
Suppose -10 = 3*k - 5*t - 34, -2*k - t + 3 = 0. Let x(p) = 2*p**2 - 3 + k. Let s(h) = 2*h**2. Determine x(s(m)).
8*m**4
Let c(y) = 2*y. Let d(s) = -16*s**2 - 3. Let i(w) = -143*w**2 - 26. Let k(j) = 26*d(j) - 3*i(j). What is k(c(g))?
52*g**2
Let t(z) be the second derivative of z**4/4 + 22*z. Let j(q) = 19*q**2. Give t(j(a)).
1083*a**4
Let f(v) be the second derivative of v**4/3 - v. Let g(w) be the first derivative of 2*w**3/3 - 160. Give f(g(a)).
16*a**4
Let v(h) = -4*h**2. Let c(o) = -5*o**2 + 127*o - 127*o. Determine c(v(t)).
-80*t**4
Suppose -4 = -5*j + 1. Let p(w) be the first derivative of -j + 0*w**3 + 3*w**3 - w**3. Let b(x) = x**2. What is p(b(r))?
6*r**4
Let r(w) = -w. Let g(f) = -4816*f. Determine r(g(l)).
4816*l
Let f(q) = 11*q. Let l(n) = 5*n. What is l(f(j))?
55*j
Let i(z) = z**2 - 4*z**2 + 1 - 1. Let r(x) be the second derivative of -x**4/12 - 3*x. Give i(r(k)).
-3*k**4
Let x(r) = 2*r. Let o be 1/(-3)*(6 + -12). Suppose o + 0 = c. Let w(n) = 4 + n**c - 1 - 3. What is x(w(b))?
2*b**2
Let z(i) be the first derivative of -2*i**3/3 - 3. Let c(g) = -15*g**2. Calculate z(c(f)).
-450*f**4
Let x(l) = -l**2. Let j(c) = 2*c + 14. Give j(x(o)).
-2*o**2 + 14
Suppose 4*i + 0*i - 20 = 0. Suppose 0 = i*k - n + 2*n - 33, 5*k = 4*n + 18. Let y(u) = -k + 5*u + 6. Let t(b) = 2*b**2. Determine t(y(r)).
50*r**2
Let i(g) = -g. Let p(a) = -a + 10. Let j be p(10). Suppose 3*w - 6 = -j. Let n(x) = -x**w - 3*x**2 + 6*x**2 + 6*x**2. What is i(n(z))?
-8*z**2
Let a(d) = -d + 82 - 82. Let p(h) = 2*h**2 - 3*h**2 + 2*h**2. Give a(p(x)).
-x**2
Let m(f) = -27 + 27 - 2*f. Let b(t) = 2*t**2 - 5*t**2 + 0*t**2. Determine b(m(l)).
-12*l**2
Let k(j) = -1 + 1 - 3*j. Let t be (11/5)/(4/20). Let r(u) = -4*u + t*u - 5*u. What is r(k(q))?
-6*q
Let k(h) = 2*h. Let q(x) = -1 - 1 + 2 - 8*x**2. Determine k(q(m)).
-16*m**2
Let v(a) = a. Suppose y - 10 = -c, 2*c = c - 3*y + 20. Let n be 2/((-6)/(-9) - 0). Let g(f) = c*f - n*f - f. Calculate g(v(p)).
p
Let j(q) = -19*q**2 + q. Let n(f) = -6*f - 5*f + 11*f - 2*f. What is n(j(z))?
38*z**2 - 2*z
Let a(b) = -b - 1. Let j(w) = 7*w + 5. Let l(y) = -5*a(y) - j(y). Let s(k) = 19*k. Determine s(l(o)).
-38*o
Let v(u) = -2*u. Let l be (-1 + (-2)/(-4))*-4. Let r(d) = -3*d - l*d + d + 3*d. Determine v(r(b)).
2*b
Let s(r) = -3*r. Suppose -z + 0 - 3 = 0. Let q = 3 + z. Let t(f) = q*f + 4*f - 3*f. Calculate t(s(i)).
-3*i
Let h(q) = 3*q**2. Let x(t) = 177*t**2. Calculate h(x(k)).
93987*k**4
Let q be -2*(-1 - (-22)/4). Let a be ((-2)/(-3))/((-3)/q). Let c(l) = -3*l**2 - 2*l**2 + 6*l**a. Let m(v) = v. Calculate m(c(x)).
x**2
Let b(r) = 8*r + 3. Let s(p) = 2*p. What is s(b(u))?
16*u + 6
Let a(l) = -2*l**2 - l + 3*l - 2*l. Let h(k) = 7*k. Determine a(h(c)).
-98*c**2
Let h(b) be the second derivative of b**3/6 - 19*b. Let c(p) = -6*p + 4. Let l(g) = 5*g - 3. Let m(y) = 3*c(y) + 4*l(y). Give m(h(w)).
2*w
Let y(z) = 173*z**2. Let q(b) = 3*b. Determine y(q(d)).
1557*d**2
Let f(i) = 87*i - 87*i + 14*i**2 - 10*i**2. Let m(p) = 11*p**2. Give m(f(o)).
176*o**4
Suppose 0 = -p + b, -3*p + 6 = -0*p - b. Let a(v) = 2*v + v + 3*v - p*v. Let c(h) = 4*h**2. Determine a(c(l)).
12*l**2
Let m(p) be the third derivative of 0 + 0*p + 0*p**3 - 1/30*p**5 + 3*p**2 + 0*p**4. Let c(s) = s**2. Give m(c(d)).
-2*d**4
Let g(f) = 6*f - 5. Let d(m) = 43*m. Give d(g(h)).
258*h - 215
Let y(b) be the third derivative of -b**5/30 - b**2. Let t(x) = -333*x**2 + 112*x**2 + 114*x**2 + 109*x**2. Determine y(t(i)).
-8*i**4
Let c(b) = 207*b**2. Let z(m) = -m**2. Determine z(c(x)).
-42849*x**4
Let a(y) = -35*y**2 - 2*y. Let j(v) = v. What is j(a(g))?
-35*g**2 - 2*g
Let c(x) = -x**2. Let d(n) be the third derivative of -n**5/20 - 4*n**3/3 - 4*n**2. Let g(f) be the first derivative of d(f). Give c(g(h)).
-36*h**2
Let z(t) be the second derivative of -t**5/20 + t**4/3 - t**3/6 - t**2 - 2*t. Let y be z(2). Let n(i) = -i + 4 - y. Let h(b) = -3*b**2. Calculate n(h(d)).
3*d**2
Let o(w) be the third derivative of -w**5/20 + w**2. Let m(q) be the third derivative of 1/24*q**4 + 0*q - 3*q**2 + 0 + 0*q**3. Determine m(o(h)).
-3*h**2
Let o(g) = g**2 - 4*g + 4*g. Let t(x) = -5*x + 3*x + 0*x. Determine t(o(q)).
-2*q**2
Let q(p) = 69*p**2. Let k(r) = -9*r. What is q(k(b))?
5589*b**2
Let b(x) = 2*x. Let v(n) = -3*n + 37. Determine v(b(a)).
-6*a + 37
Let c(d) = d**2. Let x(a) be the third derivative of -a**6/720 + 5*a**4/24 - 5*a**2. Let f(q) be the second derivative of x(q). Determine c(f(g)).
g**2
Let t(z) = -1. Let n(v) = -3*v**2 - 1. Suppose -2*d + 1 - 3 = -2*g, -3*g + 11 = -d. Let p(r) = d*n(r) - 4*t(r). Let a(k) = -2*k**2. Determine p(a(w)).
-48*w**4
Let n(o) = 2*o**2. Let j(a) = -183*a. Calculate n(j(l)).
66978*l**2
Let t(i) = -5*i**2 + 6*i - 6*i. Let r(s) = -s - 4*s + s + 2*s. What is t(r(w))?
-20*w**2
Let m(i) be the second derivative of 0*i**2 - 3*i + 1/3*i**3 + 0. Let f(t) = -t**2. Determine f(m(c)).
-4*c**2
Let p(u) = -2*u. Let v(w) = -11*w**2. Let m(f) = f**2. Let h(k) = -2*m(k) - v(k). Give h(p(x)).
36*x**2
Let j(q) be the first derivative of -30 + q**2 + 14 + 21. Let v(t) = 5*t. Calculate v(j(x)).
10*x
Let i(t) = 3*t + 2*t**2 + 8*t**2 - 3*t. Let n(f) = 2*f. Determine i(n(y)).
40*y**2
Let r(y) = 3*y. Let q(s) = 0*s + s - 8*s + 8*s. Determine q(r(o)).
3*o
Let u(d) = d - 2*d + 3*d. Let a(n) be the third derivative of -n**4/12 + n**2. Calculate u(a(y)).
-4*y
Let y(g) be the third derivative of g**7/840 - g**5/15 - 3*g**2. Let z(o) be the third derivative of y(o). Let f(t) = 2*t. Determine f(z(l)).
12*l
Let g(i) = i + 128 - 128 - 8*i. Let b(m) = -2*m. Determine b(g(j)).
14*j
Let d(q) be the first derivative of -q**2/2 - 1. Let c(b) = 21*b. Give d(c(m)).
-21*m
Let g(v) = -48*v**2 - 3. Let d(k) = -7*k - 5. What is g(d(w))?
-2352*w**2 - 3360*w - 1203
Suppose 0 = -0*n - n - 5. Let b(m) = -m**2 - 2*m - 2. Let v(z) = -3*z**2 - 5*z - 5. Let c(h) = n*b(h) + 2*v(h). Let o(i) = 4*i. What is c(o(y))?
-16*y**2
Let j(d) = 10*d**2. Let g(l) = 7*l**2 - 19. Determine g(j(v)).
700*v**4 - 19
Let g(d) be the second derivative of 4*d + 0*d**2 + 1/6*d**4 + 0 + 0*d**3. Let n(m) = 6*m**2. Give g(n(i)).
72*i**4
Let b(j) = 7*j + 5. Let r(i) = -8*i - 6. Let w(n) = -6*b(n) - 5*r(n). Let s be 20/150 + 28/15. Let o(t) = 9*t**s - t**2 - t**2. What is o(w(h))?
28*h**2
Let v(r) = 3*r. Let w(j) = -3*j - 138. Give v(w(k)).
-9*k - 414
Let m(q) = 3*q. Suppose -3*f = -7*f + 20. Suppose -3 - 13 = -4*u. Let g(y) = -u*y + f*y - 2*y. Calculate g(m(r)).
-3*r
Let u(g) = -2*g**2. Let v(c) = 4. Let b(n) be the second derivative of 0 + 1/6*n**3 + 11/2*n**2 - n. Let h(i) = 4*b(i) - 11*v(i). Determine h(u(l)).
-8*l**2
Let w(f) be the second derivative of -f**3/6 + 2*f. Let s(n) = -28*n - 14. Let m(q) = -9*q - 5. Let h(k) = 14*m(k) - 5*s(k). Give w(h(l)).
-14*l
Let i(f) = 28*f. Let b(u) = 6*u - 8*u + u + 0*u. What is i(b(q))?
-28*q
Let y(i) = 12*i. Let o(g) be the first derivative of g**2/2 - 6. Calculate y(o(k)).
12*k
Let l(t) = 2*t**2. Let y(k) = 2*k + 8. Let p be y(0). Let r(n) = -p - n + 17 - 9. What is r(l(i))?
-2*i**2
Let s(x) = 2*x**2. Let c(u) = 2*u**2 - 3331*u. Give c(s(o)).
8*o**4 - 6662*o**2
Let s(z) = -17*z. Let f(a) = -107*a. Determine f(s(v)).
1819*v
Let i(y) = -3*y**2. Let q(f) = 3*f - 2. Let n(x) = x - 1. Let u(o) = 4*n(o) - 2*q(o). What is i(u(g))?
-12*g**2
Let i(q) = -2*q + 415. Let a(j) = -j**2. Calculate a(i(t)).
-4*t**2 + 1660*t - 172225
Let l(g) = 2*g. Let d(c) be the first derivative of -3*c**3 + 8. Calculate l(d(p)).
-18*p**2
Let p(a) = a. Let x(b) = -11*b**2 + 17. Let i(u) = -7*u**2 + 11. Let m(s) = 8*i(s) - 5*x(s). Let q(n) be the first derivative of m(n). Give q(p(l)).
-2*l
Let v(t) = 29*t**2 + 29*t**2 - 51*t**2. Let b(i) = -3*i**2. Determine b(v(l)).
-147*l**4
Let i(x) = x - 4. Let d(z) = -5*z**2. Give d(i(c)).
-5*c**2 + 40*c - 80
Let r(a) = a**2. Let x(v) be the first derivative of 5*v**3/3 - 27. What is x(r(j))?
5*j**4
Let d(m) be the first derivative of 13*m**3/3 - 6. Let s(i) = i. Give d(s(b)).
13*b**2
Let a(l) = 23*l - 3. Let r(v) = -160*v + 20. Let c(y) = -20*a(y) - 3*r(y). Let m(x) = 2*x**2. Give c(m(o)).
40*o**2
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