- 4*i. Let v(f) = -15*f**2. What is z(v(r))?
2250*r**4 + 60*r**2
Let o(w) = -15*w. Let y(b) = -7*b. Let s(m) = -6*o(m) + 13*y(m). Let l(p) = -5*p**2 + p**2 + 8*p**2 - 3*p**2 - 2*p**2. Give l(s(f)).
-f**2
Let d(r) be the second derivative of 0 - 7/6*r**3 + 11*r + 0*r**2. Let w(v) = 2*v**2. Determine w(d(f)).
98*f**2
Let t(j) = 1286*j**2. Let m(c) = 4*c + 17*c + c - 24*c. Calculate t(m(a)).
5144*a**2
Let b(h) = -3*h + 3. Let j be b(-6). Let z(l) = 12*l - 24*l + j*l. Let o(t) be the first derivative of t**3/3 + 2. Give o(z(g)).
81*g**2
Let q(w) = w - 1. Let f(d) = 4*d**2 + 6*d - 6. Let y(g) = f(g) - 6*q(g). Suppose -4*x + 18 = 2*x. Let n(z) = x*z - 6*z + 4*z. Determine n(y(v)).
4*v**2
Let c(q) = 21*q**2. Let i(z) be the third derivative of z**4/8 + 2*z**2 + 12*z. Determine c(i(j)).
189*j**2
Let j(m) = 2*m**2. Let o = -45 + 48. Let b(q) = 0*q + 26*q**2 - 3*q + o*q. Determine b(j(l)).
104*l**4
Let l(j) = 8*j + 1. Let y(x) be the second derivative of x**4/12 + 2*x**2 + 5*x. Let a(o) = o**2 + 5. Let w(i) = 4*a(i) - 5*y(i). Calculate w(l(k)).
-64*k**2 - 16*k - 1
Let z(s) be the third derivative of -s**5/20 - 581*s**2. Let y(q) = 3*q**2 - 2*q - 2. Let b(t) = -t**2 - t - 1. Let d(p) = 2*b(p) - y(p). Calculate d(z(r)).
-45*r**4
Let x(k) = k. Suppose 7*o = -v + 3*o + 45, 5*v + 3*o - 140 = 0. Let y(s) = 5*s - 12 + v - 13. What is x(y(t))?
5*t
Let m(d) = 1299162*d. Let z(p) = -2*p. What is z(m(w))?
-2598324*w
Let s(z) = -355723*z - 2. Let u(j) = -j. Calculate u(s(d)).
355723*d + 2
Let b(h) = -2*h. Let f(x) = x**2 + 29. Calculate b(f(t)).
-2*t**2 - 58
Suppose p + 0*p = 5. Suppose -r = -p*r. Let v(j) = -j + j + r*j + 2*j. Let b(a) = 3*a**2. What is b(v(g))?
12*g**2
Let n(f) = 10925*f. Let p(i) = 60*i**2. Determine p(n(m)).
7161337500*m**2
Let l(a) = -2*a**2 + 122*a. Let m(h) = 61*h**2 + 2. Calculate l(m(g)).
-7442*g**4 + 6954*g**2 + 236
Let t(o) be the third derivative of 257*o**4/24 - 22*o**2. Let u(a) = -3*a. Determine t(u(v)).
-771*v
Let x(a) = -a + 15. Let g(u) = 78*u**2. What is g(x(v))?
78*v**2 - 2340*v + 17550
Let t(d) = -51*d**2 + 6. Let y(p) be the first derivative of -2*p**3/3 + 617. Calculate y(t(g)).
-5202*g**4 + 1224*g**2 - 72
Let w(m) = -3*m**2. Let l(z) be the third derivative of -z**4/4 - z**3/6 - z**2 - 17*z. Give l(w(j)).
18*j**2 - 1
Let x(p) = -9*p**2 + p + 55. Let r(i) = -27*i. Calculate r(x(m)).
243*m**2 - 27*m - 1485
Let q(n) = n**2. Let m(t) = -1620*t + 4. What is m(q(j))?
-1620*j**2 + 4
Let h(v) = 23*v. Let q(a) = a. Let s(n) = h(n) - 4*q(n). Let d(l) = -25*l + 51*l - 26*l - l**2 - l**2. Give d(s(x)).
-722*x**2
Let n(o) = -5*o + 3*o - 3*o. Let k(r) be the third derivative of -r**7/2520 + r**5/20 + 7*r**2. Let z(u) be the third derivative of k(u). Determine z(n(i)).
10*i
Let l(d) = 399 - 789 + 390 - d**2. Let h(k) = -8*k**2 + 1. Give h(l(q)).
-8*q**4 + 1
Let c(g) = -27*g**2. Let u(k) = -805*k**2 + 404*k**2 + 403*k**2. What is u(c(n))?
1458*n**4
Let l(g) = 6*g**2 + 4 - 8 + 4. Let t(v) be the second derivative of -v**4/6 - 3*v. Calculate l(t(z)).
24*z**4
Let k(h) = -14*h**2. Let y(i) = -37814*i**2. Determine k(y(t)).
-20018580344*t**4
Let j(n) be the second derivative of -5*n**4/12 + n. Let f(t) be the third derivative of 0*t**3 + 0*t + 0 + 27*t**2 + 1/12*t**4. Calculate j(f(l)).
-20*l**2
Let g(i) = i**2. Suppose -8 = 3*z - 5*z. Let q be (z/(-6))/(1/(-27)). Let v(l) = q*l - 11*l - 6*l. Calculate g(v(x)).
x**2
Let s(q) = 7314*q - 2. Let u(h) = -37*h. Determine u(s(v)).
-270618*v + 74
Let j(a) = -3*a**2 + 3*a + 3. Let r(v) = -3*v**2 + 2*v + 2. Let y(g) = -2*j(g) + 3*r(g). Let h(k) = 19 + 67*k**2 - 19 - 52*k**2. What is y(h(p))?
-675*p**4
Let l(w) = -144*w. Let d(y) = -2*y**2 + 10. Give d(l(a)).
-41472*a**2 + 10
Let u(m) = 3*m**2. Let a(s) = -9*s - 606. What is u(a(b))?
243*b**2 + 32724*b + 1101708
Let z(q) be the first derivative of q**2 - 1. Let a(v) = 7*v**2 - 6*v - 12. Let n(g) = 140*g**2 - 119*g - 238. Let u(j) = 119*a(j) - 6*n(j). Give u(z(s)).
-28*s**2
Let p(k) = -5. Let d(w) = -172*w - 2150. Let o(l) = d(l) - 430*p(l). Let i(x) = 2*x. What is o(i(q))?
-344*q
Let b(l) = 1306*l**2 + 2*l - 26. Let i(n) = -3*n**2. Calculate b(i(t)).
11754*t**4 - 6*t**2 - 26
Let b(t) = 2*t. Let m(j) be the first derivative of 17/3*j**3 + 0*j**2 - 14 + 0*j. Determine b(m(l)).
34*l**2
Let l(h) = 22*h**2 + 2*h. Suppose -4*i - 3 = k - 16, 5*i + 5*k - 35 = 0. Let y(v) = -3339*v + 3339*v + v**i. Determine y(l(f)).
484*f**4 + 88*f**3 + 4*f**2
Let g(t) = t. Let v(z) be the first derivative of 116*z**2 - z - 165. What is v(g(d))?
232*d - 1
Let i(p) = 25*p**2. Let h(j) = -13*j**2. Let w(t) = 11*h(t) + 6*i(t). Suppose -15 = -3*o - 9. Let f(d) = -2*d**o - 12 + 12. What is w(f(y))?
28*y**4
Let n(l) be the third derivative of l**6/90 - 5*l**4/6 + 9*l**2. Let o(i) be the second derivative of n(i). Let g(q) = 0 - 2*q + 0. Determine g(o(h)).
-16*h
Let t(i) = 2*i. Let f(j) = -53*j**2 - 39*j - 5. Let a(x) = 52*x**2 + 46*x + 6. Let g(m) = 5*a(m) + 6*f(m). What is g(t(b))?
-232*b**2 - 8*b
Suppose 0 = 8*m - 7*m - 35. Let d(y) = -95*y**2 + 35*y - 35. Let t(l) = 8*l**2 - 3*l + 3. Let v(h) = m*t(h) + 3*d(h). Let s(n) = -2*n. Calculate v(s(c)).
-20*c**2
Let c(n) = 953*n**2 + 956*n**2 - 1908*n**2. Let m(q) = -12*q**2 - 4*q. What is c(m(o))?
144*o**4 + 96*o**3 + 16*o**2
Let f(d) = -d. Let i(n) be the first derivative of -3 + 1/3*n**3 + 0*n + 0*n**2. Calculate i(f(v)).
v**2
Let z(q) = -2*q**2 + 3*q. Let n(j) be the first derivative of 0*j + 0*j**2 + 1/3*j**3 + 14. Give z(n(y)).
-2*y**4 + 3*y**2
Let d(s) be the second derivative of 11*s**3/6 - 2*s. Let c(x) = 3*x - 12. Let q(w) = -w + 2. Let i(l) = c(l) + 6*q(l). Calculate d(i(t)).
-33*t
Let y(m) = m. Let s(q) = -q. Let v(w) = 3*s(w) + 2*y(w). Let i(a) = 6*a**2 - 6*a**2 - a**2 + 0*a**2. Determine v(i(b)).
b**2
Let f = 10 - 10. Let z(y) = 3*y**2 + 0 + f + 2*y**2. Let n(k) = 20*k + 6*k - 3*k**2 - 26*k. Determine n(z(v)).
-75*v**4
Let h(d) = 2*d**2. Let b = 2 - 1. Let v(c) = -c + 1. Let u be v(b). Let w(k) = -2*k**2 + 0*k + u*k. Determine w(h(f)).
-8*f**4
Let z(m) = 5*m**2. Let f(n) be the first derivative of -9*n**2/2 + 4*n - 279. Determine z(f(p)).
405*p**2 - 360*p + 80
Let z(q) = -2*q**2 + 48*q. Let f(d) = 2*d**2 + 23091*d - 23091*d. What is f(z(g))?
8*g**4 - 384*g**3 + 4608*g**2
Let j(g) = -92 + 43 + 49 + 42*g**2. Let s(y) = y**2. Give j(s(f)).
42*f**4
Let x(u) be the first derivative of 2*u**3/3 + 1. Let k(i) be the third derivative of 19*i**5/30 - i**2 + 37. What is k(x(s))?
152*s**4
Suppose -4*a + 90 = 2. Let q(s) = -23*s**2 + 11*s + 11. Let i(p) = -2*p**2 + p + 1. Let d(v) = a*i(v) - 2*q(v). Let f(o) = o**2. Determine d(f(w)).
2*w**4
Let l(k) = 4635*k**2. Let z(b) = -3*b**2. Determine l(z(o)).
41715*o**4
Let n(i) = 3*i**2. Let b(w) be the second derivative of w**4/12 - 23*w**3/6 - 90*w. What is n(b(q))?
3*q**4 - 138*q**3 + 1587*q**2
Let h(r) = 960*r + 1. Let c(k) = 41*k. What is c(h(f))?
39360*f + 41
Let n(v) = v**2. Suppose g = -3*z + 2, 0 = 4*z - 0*g + 3*g + 4. Suppose 2*m = -z*m + 40. Let f(y) = -8*y + 4*y - m*y. Calculate f(n(x)).
-14*x**2
Let s(u) = -2450*u**2. Let q(i) = -23*i. Calculate q(s(y)).
56350*y**2
Let x(y) be the first derivative of 35*y**2/2 - 1. Let q(b) = 24*b - 20*b + 2*b**2 - b - 3*b. What is q(x(z))?
2450*z**2
Let r(x) = 194174*x. Let s(h) = -h. Give r(s(v)).
-194174*v
Let r(u) = u. Let k be (-42)/12 + (-2)/(-6)*15. Let v(t) be the first derivative of 11 + k*t**2 + 0*t. Give r(v(d)).
3*d
Let s(f) = -17*f. Let d(w) = -36*w**2 + 212. Determine s(d(i)).
612*i**2 - 3604
Let h(f) = 6*f. Let w(n) = -11 + 1248*n + 13 - 1249*n. Determine h(w(y)).
-6*y + 12
Let h(b) = -b**2 - 1. Let v(k) = -2*k**2 - 1. Let x(m) = 5*h(m) - 2*v(m). Let z(u) be the first derivative of x(u). Let q(w) = 3*w**2. Determine q(z(g)).
12*g**2
Let d = -177 - -179. Let m(n) = 8*n**2 + 11*n**d + 6*n**2 + 3*n**2. Let c(b) = 4*b**2. What is m(c(a))?
448*a**4
Suppose -5*s - 8 = -88. Let r(y) = -10*y**2 + 16. Let t(v) = 2*v**2 - 3. Let h(f) = s*t(f) + 3*r(f). Let d(q) = -7*q**2. What is d(h(n))?
-28*n**4
Let d(h) = 13*h - 4. Let s(l) = -12*l + 5. Let w(b) = 5*d(b) + 4*s(b). Let j(o) = -2*o. Determine j(w(z)).
-34*z
Let m(t) be the second derivative of t**7/252 - t**5/60 + 9*t**4/4 + 12*t. Let n(l) be the third derivative of m(l). Let x(z) = -2*z