n
Let w(z) = -35*z + 8*z + 12*z + 8*z + 8*z. Let x(f) = -108*f**2. Calculate x(w(q)).
-108*q**2
Suppose -6*t = -6 - 6. Let n(p) = 4*p**t - 11*p + 11*p. Let d(m) = -m. What is d(n(s))?
-4*s**2
Let j(u) = 3*u. Let i(o) be the first derivative of -8*o**2 - o - 636. Give j(i(q)).
-48*q - 3
Let f(k) be the second derivative of 3*k**6/80 - 5*k**4/4 + 23*k. Let r(n) be the third derivative of f(n). Let s(j) = 2*j. Determine s(r(m)).
54*m
Let h(b) = 3*b - b - 4*b. Let z(x) = 10024*x - 10024*x + 4*x**2. Give h(z(d)).
-8*d**2
Let o(m) = m**2. Let r(a) = -7*a + 1 - 14*a + 17*a - 1. Calculate o(r(w)).
16*w**2
Let l(f) = -2*f - 21. Let d(j) = -2512*j**2. What is l(d(i))?
5024*i**2 - 21
Let c(x) = 18*x**2. Let p(l) = 16490*l. What is p(c(a))?
296820*a**2
Let q(v) = -2*v**2. Suppose -9*j + 66*j = 0. Let p(a) be the second derivative of 7/2*a**3 + 8*a + 0 + j*a**2. Determine q(p(c)).
-882*c**2
Let t = -15 - -32. Let i(u) = -40*u + 17*u + t*u. Let y(k) = -6*k. Calculate y(i(z)).
36*z
Let q(f) = -2*f + 3. Let y(h) = -16*h + 20. Let t(x) = -20*q(x) + 3*y(x). Let z(o) = -3*o + 2*o + 2*o. What is z(t(r))?
-8*r
Let v(k) = 13 - 2*k**2 - 5 + 8 + 14*k**2. Let t(l) = 4*l**2 + 5. Let i(y) = 16*t(y) - 5*v(y). Let f(u) = -3*u**2. Determine i(f(b)).
36*b**4
Let j(w) = 6*w**2. Let r(s) = 5*s**2 + 3*s**2 + 5*s**2 + 2*s**2. Determine r(j(d)).
540*d**4
Let u(o) = -o. Let d(c) = -4*c. Let h(k) = -d(k) + 6*u(k). Suppose 4*p = 4*t - 48, 4*p - 1 - 7 = -4*t. Let w(y) = -y**2 + t*y**2 - 13*y**2. Give w(h(f)).
-28*f**2
Let l(c) = -c**2 - c + 1. Let o(a) = 5*a**2 + 4*a - 4. Let s(b) = 12*l(b) + 3*o(b). Let m(g) = 29*g - 1. What is m(s(j))?
87*j**2 - 1
Let l(z) be the third derivative of z**4/12 - z**2. Suppose -29*y = -34*y + 10. Let h(g) = -g**2 - 4*g**2 + 2*g**y. Give l(h(t)).
-6*t**2
Let w(q) = -10*q. Let s(m) = 29*m**2 - 109*m**2 + 69*m**2 + 70*m**2. What is s(w(h))?
5900*h**2
Let s(w) = -5*w - 5. Let q(m) = -2*m. Let x(d) = 3*q(d) - s(d). Let n(l) = 2*l**2. Give x(n(c)).
-2*c**2 + 5
Let n(i) = -i. Let g(j) be the third derivative of j**4/4 + 5*j**3/6 + 42*j**2. Let l(k) = 11*k + 8. Let v(u) = 5*g(u) - 3*l(u). Determine v(n(m)).
3*m + 1
Let o(h) = 4*h. Let a(y) be the first derivative of y**5/8 - 5*y**3/3 - 14. Let m(f) be the third derivative of a(f). What is m(o(k))?
60*k
Let k(y) = y**2 + y. Let t(i) = 10*i**2 + 5*i. Let u(m) = 10*k(m) - 2*t(m). Let r(d) = 5*d**2. Determine r(u(q)).
500*q**4
Let p(y) = 14*y. Let m(r) be the first derivative of 5*r**3/3 + 8. Determine p(m(b)).
70*b**2
Let w(k) = -4*k. Suppose 2*y + 2 = -j - j, 0 = 4*y + 8. Let d(r) = 11*r + 4. Let u(g) = -1. Let x(l) = j*d(l) + 4*u(l). Give x(w(m)).
-44*m
Let k(r) be the second derivative of r**3/6 + r. Let l(z) be the second derivative of -20*z + 0 - 5/6*z**3 + 0*z**2. What is l(k(u))?
-5*u
Let k(z) = -z. Let r(j) = -2*j**2 - 17*j - 17. What is k(r(o))?
2*o**2 + 17*o + 17
Let j(o) = -o. Suppose -4*n = -3*f + 5*f - 24, -16 = -f - 3*n. Let z(v) = -8*v - f*v + 16*v. Calculate z(j(y)).
-4*y
Let g(w) = 6*w. Let h(u) = 21*u - 9*u**2 - 8*u + 36*u**2 - 13*u. What is h(g(n))?
972*n**2
Let f(t) = -3*t**2. Let o(v) = 2011345*v. Calculate f(o(m)).
-12136526127075*m**2
Let a(d) = 2*d**2. Let t(b) = -2*b**2. Let m(s) = 5*a(s) + 4*t(s). Let i(q) = -25406*q + 25406*q + 22*q**2. Determine m(i(l)).
968*l**4
Let d(u) = 18*u**2 - 8*u - 8. Let z(x) = -16*x**2 + 7*x + 7. Let l(c) = -7*d(c) - 8*z(c). Let f(i) = 0 + 14*i**2 + 0. Determine f(l(t)).
56*t**4
Let m(g) = 1651 - 1651 - 5*g. Let q(f) = 9*f**2 - 1. Give q(m(n)).
225*n**2 - 1
Let o(h) be the first derivative of 8*h**3 + 325. Let g(s) = -18*s. Give g(o(r)).
-432*r**2
Let u(h) = 19*h. Let t(c) = 5*c**2. Let o(n) = -45*n**2 + 92*n**2 - 49*n**2. Let q(a) = 7*o(a) + 3*t(a). Calculate u(q(l)).
19*l**2
Let m(c) = -5 + 2 + 2*c + 3. Let p(n) = 18*n. Let v be 0 + 2 + (-40)/(-10). Let f(d) = -3*d. Let r(s) = v*p(s) + 34*f(s). Determine r(m(h)).
12*h
Let x(t) = -3*t**2 - 117*t. Let q(j) = -180*j - 2. Calculate x(q(v)).
-97200*v**2 + 18900*v + 222
Let g(r) be the first derivative of -7*r**6/360 + 5*r**3 - 22. Let b(l) be the third derivative of g(l). Let s(i) = -7*i. Calculate s(b(q)).
49*q**2
Let g(a) = 5*a**2. Let b(v) = -16*v**2 - 62. Give g(b(y)).
1280*y**4 + 9920*y**2 + 19220
Let w(v) = -2*v**2 - 75*v - 1. Let r(p) = 13*p**2. What is w(r(g))?
-338*g**4 - 975*g**2 - 1
Let s(q) = 49*q**2 + 5*q - 10. Let t(d) = -74*d**2 - 7*d + 14. Let v(x) = -7*s(x) - 5*t(x). Let f(a) = a**2. Determine f(v(c)).
729*c**4
Let b(f) be the third derivative of -f**7/5040 + 7*f**5/10 + 33*f**2. Let j(m) be the third derivative of b(m). Let q(z) = -9*z**2. Give j(q(k)).
9*k**2
Let a(j) = -3*j**2 + j**2 + 0*j**2. Let b be -1 + 2 + 3 + -2. Let q(g) = -4*g**2 + 5*g**2 + 2*g**2 + g**b. What is a(q(d))?
-32*d**4
Let a(y) = 31*y + 28*y + 27*y - 85*y. Let n(c) = 127*c - 6. What is n(a(d))?
127*d - 6
Let u(t) = 2*t**2 + t - 1. Let f(x) = 20*x**2 + 7*x - 7. Let n(z) = -f(z) + 7*u(z). Let q(h) = -8*h**2 + 2. Determine n(q(j)).
-384*j**4 + 192*j**2 - 24
Let x(b) = -100096*b**2. Let k(h) = -4*h**2. Determine x(k(q)).
-1601536*q**4
Let q(u) = u**3 + 6*u**2 - u + 7. Let n be q(-6). Let s(j) = 2*j - n*j - 8*j. Let v(z) be the first derivative of -z**3/3 + 1. Determine s(v(f)).
19*f**2
Let c = -294 - -620. Let s(w) = -326 + c + 11*w. Let r(v) = -2*v**2. Give r(s(d)).
-242*d**2
Let c(g) = 2*g**2 + 1 + 283*g - g**2 - 284*g. Let w(r) = -r**2 + 2*r - 2. Let m(k) = -2*c(k) - w(k). Let t(j) = -4*j - 2*j + 3*j. Calculate m(t(n)).
-9*n**2
Let f(z) = -8*z**2. Let d(j) be the second derivative of 0*j**2 - 6*j + 0 + 0*j**3 + 1/6*j**4. Calculate f(d(t)).
-32*t**4
Let p(q) be the first derivative of 0*q + 2/3*q**3 + 0*q**2 + 8. Let l(n) = -n. Calculate l(p(c)).
-2*c**2
Let c(r) = 13*r**2. Let s(y) = 21*y**2 + 45. Let b(i) = -3*i**2 - 6. Let u(j) = 30*b(j) + 4*s(j). Determine u(c(t)).
-1014*t**4
Let a(s) be the first derivative of -2*s**3/3 - 1. Let t(l) = -12*l. Let u(p) = 13*p. Let m(o) = 4*t(o) + 5*u(o). Give m(a(h)).
-34*h**2
Let v(q) = 48*q. Let x(a) be the third derivative of a**7/2520 - 7*a**4/24 - 20*a**2. Let c(u) be the second derivative of x(u). Give c(v(i)).
2304*i**2
Let v(w) = 2*w**2. Let s(q) = -31*q**2 + 1934. Calculate s(v(c)).
-124*c**4 + 1934
Let a(o) = 5*o**2. Let z(y) be the first derivative of 0*y + 0*y**2 + 9 + 5/3*y**3. Give z(a(d)).
125*d**4
Let s(c) = 426264 - 426264 - 6*c. Let g(q) = q - 15. Calculate g(s(u)).
-6*u - 15
Let f = 10 + -5. Let h(l) = 54 + f*l - 54. Let j(d) be the third derivative of d**4/12 - 2*d**2. Give j(h(s)).
10*s
Let y(p) = -5*p. Let t(h) be the third derivative of -h**4/3 - 2*h**3/3 + 78*h**2. Determine t(y(c)).
40*c - 4
Let a(n) be the third derivative of n**5/5 - 1018*n**2. Let t(f) = 4*f - 5. Let x(k) = 2*k - 2. Let g(j) = 2*t(j) - 5*x(j). Calculate g(a(u)).
-24*u**2
Let y(m) = 6*m. Let j(a) = -3*a - 594. Determine j(y(k)).
-18*k - 594
Let w(r) = 2*r**2. Let f(z) be the first derivative of 5*z**3/6 - 15*z - 4. Let h(i) be the first derivative of f(i). Give h(w(s)).
10*s**2
Let i(v) = -131*v - 1. Let b(f) = -876*f + 1. Calculate b(i(g)).
114756*g + 877
Let k(l) be the third derivative of l**5/12 - 3*l**2 - 19. Let v(a) = 4*a + 5. Let c(n) = -5*n - 6. Let b(d) = 5*c(d) + 6*v(d). What is k(b(o))?
5*o**2
Let x(g) = -9 + 3*g**2 + 9 + 4*g**2. Let d(r) be the first derivative of -r**5/30 + r**2/2 - 1. Let w(f) be the second derivative of d(f). Calculate w(x(n)).
-98*n**4
Suppose 3*t + 15 = 0, 2*t = 2*q - 0*t - 42. Let z(i) = 33*i**2 - 16*i**2 - q*i**2. Let d(w) = 14*w**2. Determine z(d(o)).
196*o**4
Let o(u) = -2*u**2. Let f(w) = -56*w - 227*w - 125*w - 275*w. Determine f(o(d)).
1366*d**2
Let i(g) = g**2 - 10. Let k(u) = 40*u + 48*u - 90*u. Give k(i(o)).
-2*o**2 + 20
Let k(m) = 61*m**2. Let y(w) be the second derivative of -w**5/30 - 21*w**2/2 - w. Let c(u) be the first derivative of y(u). What is c(k(z))?
-7442*z**4
Let o(y) = -23*y**2. Let q(z) = -17*z - 34. Give o(q(u)).
-6647*u**2 - 26588*u - 26588
Let a(r) = -25315*r**2 - 671*r - 671. Let v(s) = 113*s**2 + 3*s + 3. Let n(m) = 6*a(m) + 1342*v(m). Let t(d) = -2*d**2. Give n(t(c)).
-976*c**4
Let g(m) be the second derivative of -m**3 + 3*m**2/2 - 3*m - 17. Let c(y) = -y**2. Determine g(c(u)).
6*u**2 + 3
Let w(k) = 55*k - 145. Let v(m) = -