k
Let w(p) = -3*p**2 - 2*p. Let u(g) = g**2 - 2*g - 6. Let x be u(4). Let c(m) = 54*m**2 + 52*m**2 - 107*m**x. Determine c(w(j)).
-9*j**4 - 12*j**3 - 4*j**2
Let g(a) = -16*a. Let s(i) = 6*i - 17. Calculate g(s(x)).
-96*x + 272
Let x(d) = -46883*d. Let j(m) = 142*m. Give j(x(i)).
-6657386*i
Suppose 6*x - x + 10 = 0, 4*x = -4*s. Let y(f) = -8*f**s - 6*f**2 + 17*f**2. Let i(h) = 8*h + 4*h + 4*h**2 - 12*h. What is y(i(q))?
48*q**4
Let k(p) be the third derivative of -p**4/12 + 13*p**2. Let t(y) = -66*y. What is k(t(q))?
132*q
Let c(l) = 19*l**2. Let r(b) = 195 + b - 106 - 87. Let w(x) = -1. Let f = 4 + -2. Let k(y) = f*w(y) + r(y). Determine c(k(t)).
19*t**2
Let d = -64 - -112. Let q(o) = -23*o + d*o - 56*o**2 - 25*o. Let b(h) = -2*h. Determine b(q(a)).
112*a**2
Let f(j) = 2*j**2. Let k(m) = -94*m - 33. Give k(f(r)).
-188*r**2 - 33
Let l(j) be the second derivative of -35*j**4/12 - 4*j + 27. Let c(d) = -10*d. Determine l(c(w)).
-3500*w**2
Let d(t) = 2*t**2. Let a(r) = r + 6105537. What is a(d(k))?
2*k**2 + 6105537
Let r(y) = -y**2 + 6*y - 6. Let q(l) = 6*l**3 + l**2 - 3*l + 2. Let j be q(1). Let t(m) = -m + 1. Let f(x) = j*t(x) + r(x). Let v(k) = 42*k**2. Give f(v(c)).
-1764*c**4
Let o(x) = -x + 117. Let n(b) = -18*b. Give o(n(a)).
18*a + 117
Let x(a) = 46*a. Let g(m) be the second derivative of -3 + 0*m**3 - 1/12*m**4 + 0*m**2 - m. What is x(g(q))?
-46*q**2
Let a(i) = 4*i**2 + 1430*i - 3. Let n(l) = 14*l. Give n(a(z)).
56*z**2 + 20020*z - 42
Let p(j) = 12*j**2 + 5*j - 37. Let z(u) = -5*u**2 - 2*u + 18. Let a(b) = -2*p(b) - 5*z(b). Let q(w) = -2*w**2. Give a(q(k)).
4*k**4 - 16
Let j(d) = -5*d. Let a(n) = 30787 - 30787 - 41*n**2. What is a(j(c))?
-1025*c**2
Let k(p) = -89*p**2 + 13*p. Let l(h) = -5*h**2 - 2. Determine k(l(u)).
-2225*u**4 - 1845*u**2 - 382
Let m(g) = -346*g. Let x(c) = -c**2 - 2*c + 2. Let k(q) = 8*q**2 + 12*q - 12. Let r(t) = -k(t) - 6*x(t). Give r(m(a)).
-239432*a**2
Let r(z) = -z**2. Let s(f) = -12*f - 301. What is r(s(t))?
-144*t**2 - 7224*t - 90601
Let i(h) = -51*h**2. Let g(k) = 17720*k - 1. Give g(i(a)).
-903720*a**2 - 1
Let t(c) = -816*c. Let j(w) = 23*w**2. Calculate j(t(d)).
15314688*d**2
Let p(t) be the second derivative of 143*t**3/6 + t**2/2 - 134*t. Let l(y) = 2*y. What is p(l(h))?
286*h + 1
Let v(a) = 6*a. Suppose -3*m + n + 29 = 0, 2*n + 3 = -m + 1. Let h(r) = 2*r. Let u(t) = m*h(t) - 3*v(t). Let l(f) = -28*f**2. Calculate u(l(k)).
56*k**2
Let d(t) = -2*t**2. Let v(c) be the third derivative of -c**7/1260 + 5*c**4/12 + 2*c**2. Let r(a) be the second derivative of v(a). Give d(r(g)).
-8*g**4
Let v(r) = -r. Suppose 0 = -2*g - g - p + 1, -1 = 5*g + 3*p. Let s(h) = h. Let a(w) = g*v(w) + 3*s(w). Let y(x) = 6*x. Calculate y(a(u)).
12*u
Let p(r) = 826*r**2. Let d(c) = -13*c. What is p(d(u))?
139594*u**2
Let a(g) be the first derivative of -5*g**2 + 1. Let t(w) be the first derivative of 14 + 1/3*w**3 + 0*w**2 + 0*w. Determine t(a(x)).
100*x**2
Let a(m) = -2*m**2. Let x(s) = -759*s**2. Let o(f) = -5*f**3 - 5*f**2 + 2. Let v be o(-4). Let z(u) = 19*u**2. Let t(y) = v*z(y) + 6*x(y). Determine t(a(g)).
176*g**4
Let y(p) = 3*p. Let x be 264/120 - (-2)/(-10). Let j(s) be the third derivative of 1/8*s**4 + 0 + 0*s**3 + 0*s - 4*s**x. Give y(j(f)).
9*f
Suppose 0 = -f + 3*j + 11, 0 = f + 3*f - j - 11. Let b be ((-12)/8)/(f/(-4)). Let k(d) = -4*d**2 + 4*d**2 + b*d**2 - 2*d**2. Let s(a) = -2*a**2. Give k(s(c)).
4*c**4
Let c(z) = -755*z**2 + 138*z - 3. Let h(t) = t. What is c(h(g))?
-755*g**2 + 138*g - 3
Let u(s) = -6*s**2 + 8*s + 11. Let p(f) = 12*f**2 - 18*f - 21. Let g(w) = 4*p(w) + 9*u(w). Let o(j) = -j. Give g(o(b)).
-6*b**2 + 15
Let w be (-115)/(-7) - 12/(-21). Let x(c) = -41 + 24 + 2*c**2 + w. Let b(g) = -13*g - 3. Give x(b(r)).
338*r**2 + 156*r + 18
Let h(c) = -2*c**2 + 1163*c. Let b(t) = -2*t + 626. Give b(h(l)).
4*l**2 - 2326*l + 626
Let y(b) = -76*b. Let o(n) be the first derivative of n**2 - 34. What is o(y(t))?
-152*t
Let f(j) = -j**2 + 187. Let x(q) = -299*q**2 - 2. Calculate f(x(a)).
-89401*a**4 - 1196*a**2 + 183
Let d(h) = -3*h. Let g(q) = 30*q + 823. Give g(d(c)).
-90*c + 823
Let u(s) = 10*s**2 + 6*s - 3. Let x(r) = -2*r**2 - 2*r + 1. Let j(n) = u(n) + 3*x(n). Let m(l) be the first derivative of -l**3/3 - 4. What is m(j(i))?
-16*i**4
Let i(r) = 3*r**2. Let x(a) = 30827*a. Calculate i(x(s)).
2850911787*s**2
Let l(f) = -189*f**2 + 14. Let s(m) = 101*m. Determine l(s(w)).
-1927989*w**2 + 14
Let d(u) = -u. Let q(w) = 9*w + 82*w - 9*w - w. Give d(q(k)).
-81*k
Let j(r) = -103198*r. Let c(m) = -2*m. Calculate j(c(o)).
206396*o
Let h(z) be the first derivative of 4*z**3/3 + 6. Let v(j) = 16*j**2 - 6*j**2 - 9*j**2. What is v(h(c))?
16*c**4
Let c(v) = -4*v**2. Let k(f) = -143*f**2. Calculate c(k(h)).
-81796*h**4
Let f(g) = 38335*g**2 - 5*g - 2. Let i(v) = -2*v**2. Give f(i(n)).
153340*n**4 + 10*n**2 - 2
Let v(h) = -4*h**2. Let o(c) = -c + 17. Let t be o(15). Let q(k) = 20 + 28 - 48 + 15*k**t. Determine q(v(u)).
240*u**4
Let w(f) be the first derivative of -11*f**2 + 1027. Let d(b) = 10*b**2. Determine d(w(m)).
4840*m**2
Let d(x) = -x**2. Let y(s) = -83 - 44*s + 83 - 37*s. What is d(y(l))?
-6561*l**2
Let l(h) be the third derivative of -h**5/60 - 84*h**2 - 1. Let w(q) = 1068*q**2. What is w(l(n))?
1068*n**4
Let s(f) be the second derivative of f**6/48 - 7*f**4/12 + 2*f. Let l(v) be the third derivative of s(v). Let q(x) = x**2. Calculate l(q(u)).
15*u**2
Let u(i) = i**2. Suppose 2*b - 8 = 0, d - 2*b + 0*b - 13 = 0. Let g(p) = -21*p - 9*p**2 - 12*p**2 + d*p. Calculate u(g(l)).
441*l**4
Let g(a) = 16*a. Suppose 14*f = 7*f. Let n(o) = -4*o**2 + 4*o**2 + f*o**2 - 2*o**2. Give g(n(c)).
-32*c**2
Let t(i) = i**2 + 34. Let c(x) = 210*x**2. What is c(t(o))?
210*o**4 + 14280*o**2 + 242760
Suppose -2*r + 5*l = -r + 17, -2*l + 2 = -r. Let a(y) = -4 + 12 - r - 5*y. Let j(h) = -4*h**2. Determine a(j(n)).
20*n**2
Let v(f) = 3*f. Let c(s) = -4314*s - 6. What is c(v(z))?
-12942*z - 6
Let f(m) = -15*m + 26*m - 10*m. Let o(l) = 66 + 6*l - 66. Calculate o(f(x)).
6*x
Suppose 0 = -3*a - 4*n + 16, -4*n = -2*a + 1 + 3. Let w(p) = 4*p - a*p - p**2. Let y(l) be the first derivative of -13*l**3/3 + 42. Determine w(y(v)).
-169*v**4
Let x(k) = -k. Let d(z) = 32*z + 6. Let b(m) = -450*m - 85. Let f(a) = -6*b(a) - 85*d(a). Give f(x(g)).
20*g
Let n(d) be the second derivative of -2*d**3/3 + 3*d**2/2 + 48*d. Let p(s) = 4*s. Give p(n(o)).
-16*o + 12
Let y(l) = 0*l + l + 5*l - 5*l. Let q(r) = r**2 - 8*r - 1. Let t be q(8). Let o(x) = x + 6. Let g(j) = 1. Let m(n) = t*o(n) + 6*g(n). What is y(m(z))?
-z
Let h(d) = -9*d**2. Let r(n) = -789529*n**2. Give h(r(a)).
-5610204376569*a**4
Let l(n) = -5*n. Let a(r) = 60*r. Let t(m) = -7*m. Suppose -2*z = -8, -z - 8 = -5*y + 13. Let c(j) = y*a(j) + 42*t(j). Give c(l(s)).
-30*s
Let t(b) = 72*b**2. Let o(x) be the third derivative of x**5/20 - 278*x**2. Give o(t(d)).
15552*d**4
Let m = 272 - 58. Let h(z) = 110*z + 102*z - m*z. Let s(v) = v**2 - 16*v**2 - 4*v**2. What is h(s(a))?
38*a**2
Let o(r) be the third derivative of -r**5/60 + 3*r**3 + 12*r**2. Let u(s) be the first derivative of o(s). Let x(m) = m**2. Determine x(u(w)).
4*w**2
Let a(b) = 14*b - 2. Let l(s) = -3*s**2 - 489. Give l(a(o)).
-588*o**2 + 168*o - 501
Let a(v) = v - 2. Let d = 10 - 4. Let s be a(d). Let t(h) = -3*h - s*h**2 + 3*h. Let l(u) = -3*u**2. What is l(t(b))?
-48*b**4
Let f(i) = 4*i**2. Let l(o) = 19*o - 29*o + 18*o. Determine l(f(a)).
32*a**2
Let v(y) = 277*y. Let t(h) = 95*h**2 - 4. Calculate v(t(f)).
26315*f**2 - 1108
Let f(h) = -h. Let t(y) = -17955*y**2 + 2*y. Give f(t(k)).
17955*k**2 - 2*k
Let y(t) be the second derivative of t**6/144 - 7*t**4/3 + 31*t. Let b(o) be the third derivative of y(o). Let h(i) = 11*i. Calculate h(b(v)).
55*v
Let w(d) = -6579*d. Let o(j) = 47*j. Let b(p) = -561*o(p) - 4*w(p). Let f(q) = 5*q. Let u(t) = -2*b(t) - 21*f(t). Let x(i) = -2*i. What is u(x(c))?
6*c
Let x(m) be the first derivative of m**3/3 - 432. Let n(t) = 279*t. What is x(n(c))?
77841*c**2
Suppose -o = 3*o - 2*i - 4, 20 = 5*o + 5*i. Let v(w) = -12*w**2 + 4*w**o + 4*w**2. Let s(y) = 0 + 2*y + 0. Determine s(v(t)).
-8*t**2
Let f(q) = 1101*q**2. Let x(r) = -27*r. Give f(x(n)).
802629*n**2
Let i(y) = -383*y + 1. Let k(d) = 13*d - 1. Give k(i(t)).
-4979*t + 12