2*g. Determine y(s(w)).
80*w
Let q(c) = -3*c. Let d(h) = 63254*h + 4. Determine q(d(z)).
-189762*z - 12
Let y(j) = -11*j. Let m(w) = -27*w - 37*w - 29*w - 37*w + 111*w. What is y(m(q))?
209*q
Let p(c) = c**2 + 220*c. Let z(v) = 8467*v**2. Give p(z(g)).
71690089*g**4 + 1862740*g**2
Let y(k) be the first derivative of 9 + 2/3*k**3 + 0*k**2 + 0*k. Let m(v) be the first derivative of 7*v**2/2 - 1. What is m(y(t))?
14*t**2
Let q(d) = d**2. Let a(h) = 20733*h. Determine a(q(j)).
20733*j**2
Let w(y) = 7*y**2. Let i(b) = b**2 + 20*b + 40. Let m be i(-18). Let p(t) be the second derivative of 0 + 0*t**3 - 1/12*t**m + 0*t**2 - 2*t. Determine p(w(r)).
-49*r**4
Let l(d) = -2*d. Let n(w) = 12*w. Let f(z) = -9861*z - 171. Let i(y) = -116*y - 2. Let c(k) = 2*f(k) - 171*i(k). Let q(g) = -5*c(g) + 48*n(g). Give l(q(u)).
-12*u
Let s(u) = -u - 1729. Let q(p) = 11*p**2 + 5. Determine q(s(o)).
11*o**2 + 38038*o + 32883856
Let m(c) = 98*c. Let n(k) = -43*k**2 + 63*k**2 - 19*k**2. What is m(n(i))?
98*i**2
Let p(n) = -n + 1. Let v(f) = 38*f**2 - 228*f + 228. Let z(w) = -228*p(w) + v(w). Let k(y) = -y**2. What is z(k(l))?
38*l**4
Let q(z) = 41*z. Let r(t) = -2*t**2 - 136880 + 136880. What is q(r(c))?
-82*c**2
Let h(u) = -10232*u**2. Let l(x) = -31*x. What is h(l(a))?
-9832952*a**2
Let h(y) = 14172*y. Let z(w) = 5*w**2. Determine h(z(t)).
70860*t**2
Let p(f) = -41*f**2 + f. Let i(m) = 46*m**2 + 49*m**2 - 141*m**2 + 44*m**2. Give p(i(o)).
-164*o**4 - 2*o**2
Suppose -39*p + 20 = -136. Let z(b) be the second derivative of -1/4*b**p + 0*b**3 + 0 - 5*b + 0*b**2. Let q(j) = -2*j**2. Give z(q(x)).
-12*x**4
Let m(f) = -2*f**2. Let q(x) = 10*x**2 + 5. Let d(b) = 5*b**2 - 13. Let p(a) = -a**2 + 3. Let y(o) = -2*d(o) - 9*p(o). Let n(j) = q(j) + 5*y(j). Give n(m(w)).
20*w**4
Let f(u) = -3*u. Suppose -5*y = -3*a - 26, y + 3*y + 4*a = 8. Let p(x) = -4*x + 0*x + 3*x + y*x. Give f(p(q)).
-9*q
Let f(u) = -3*u**2. Let k(m) = -625*m**2 - 2*m - 2. Determine k(f(n)).
-5625*n**4 + 6*n**2 - 2
Let x(q) = -3*q**2 + 99. Let n(c) = -34*c**2 - 14. Let u(z) = 12*z**2 + 5. Let p(h) = -5*n(h) - 14*u(h). Give p(x(k)).
18*k**4 - 1188*k**2 + 19602
Let y(q) = -61*q. Let w(j) = -179*j - 1. Calculate y(w(h)).
10919*h + 61
Let x(n) be the first derivative of n**5/30 + 14*n**3/3 + 20*n**2 + 28. Let h(b) be the second derivative of x(b). Let l(s) = -s. Determine h(l(m)).
2*m**2 + 28
Let l(k) be the second derivative of k**4/12 + 2*k + 552. Let r(p) = -87*p**2. Determine l(r(h)).
7569*h**4
Let v(s) = 19*s - 28*s + 8*s. Let n(c) = 2*c**2 - 507*c. Give n(v(j)).
2*j**2 + 507*j
Let i(n) = 2*n. Let m(l) = 43080*l + 359. Let d(s) = 718*s + 6. Let x(t) = -359*d(t) + 6*m(t). Determine i(x(v)).
1436*v
Let f(c) = -51*c - 46*c - 2*c + 39*c. Let j(a) = -3*a**2. Calculate f(j(r)).
180*r**2
Let x(j) = 40*j**2 + 16*j. Let s(i) = -2*i**2 - i. Let u(d) = 48*s(d) + 3*x(d). Let m(g) = -4*g**2. Give m(u(c)).
-2304*c**4
Let b(r) = r**2. Suppose x + 35 = -3*p + 80, -p - x + 13 = 0. Let m(z) = 1 - 3 + 2 + p*z. What is b(m(k))?
256*k**2
Let s(n) = -n. Let b(i) = -i. Let c(w) = 2*b(w) - s(w). Let q(h) be the first derivative of 4*h**3 - 465. Give c(q(a)).
-12*a**2
Let p(t) = -2*t**2. Let f(w) = -3*w**2 + 6*w. Suppose -5*h = -24 + 109. Let y(b) = 9*b**2 - 17*b. Let k(s) = h*f(s) - 6*y(s). What is p(k(g))?
-18*g**4
Let g(p) = -9*p + 3. Let t(v) = -7*v + 2. Let w(a) = -4*g(a) + 6*t(a). Let o(b) = -10*b**2. Determine o(w(s)).
-360*s**2
Suppose -37*j - 6 = -40*j. Let z(n) = -4*n**2 - n**j + 15*n**2. Let v(l) = 2*l. Determine z(v(y)).
40*y**2
Let v(y) = 91*y**2 + y + 8. Let x(p) = -2*p. Give v(x(q)).
364*q**2 - 2*q + 8
Let w(l) = -2*l. Let d(b) = 76311*b. What is d(w(v))?
-152622*v
Let z(k) be the first derivative of k**2/2 + 134. Let h(i) = -25*i - 4. Calculate h(z(m)).
-25*m - 4
Let l(q) be the first derivative of q**6/360 + 22*q**3/3 + 16. Let h(r) be the third derivative of l(r). Let a(c) = 2*c**2. What is h(a(j))?
4*j**4
Let z(c) = 10*c + 0*c + 16*c. Let k(x) = 3*x. Let h(q) = 4*q. Let o(f) = -4*h(f) + 5*k(f). Give z(o(u)).
-26*u
Let x(g) = 5 - 7*g - 3 - 7. Let q(o) = -22*o - 16. Let i(n) = -5*q(n) + 16*x(n). Let b(h) = 4 - 3 - 1 + 18*h. Determine i(b(k)).
-36*k
Let h(p) = -188*p. Let t(l) = -l + 6. Let x(b) = -1. Let m(o) = -t(o) - 6*x(o). Calculate m(h(f)).
-188*f
Let t(j) be the second derivative of 2*j**3 + 38*j. Let o(d) = -3*d. Give t(o(i)).
-36*i
Let x(f) be the first derivative of 61*f**2/2 + 1315. Let l(i) be the first derivative of -2*i**3/3 + 1. What is x(l(j))?
-122*j**2
Let k(o) = o**2. Suppose 2*t - 5*t + 9 = 0. Suppose t*y + 1 = -5*w, -7*y + 4*y = 4*w + 2. Let u(h) = 1 - h - 7*h - w. Give u(k(d)).
-8*d**2
Let q(n) be the first derivative of 0*n + 6 - 2/3*n**3 + 0*n**2. Let j(z) = 3 + 9*z - 3. Calculate j(q(v)).
-18*v**2
Let p(n) = -3*n. Let r(u) be the second derivative of -u**4/4 + 3*u**3/2 + 296*u. Determine r(p(i)).
-27*i**2 - 27*i
Let v(w) = -4*w**2 + 5*w. Let n(r) = -r. Let m(c) = 10*n(c) + 2*v(c). Let u(f) = -f**3 + 3*f**2 - f. Let l be u(2). Let t(k) = -k - l*k + k. What is m(t(o))?
-32*o**2
Let u(g) = g. Let b(m) = 35*m + 3336. Give b(u(t)).
35*t + 3336
Let x(r) = -28510*r - 1. Let q(h) = -h. Give x(q(w)).
28510*w - 1
Let z(t) = 179 + 166 - 37*t - 343. Let q(i) = i. Give q(z(c)).
-37*c + 2
Let z(v) be the first derivative of -101*v**2/2 + 3. Let c(t) = -t. Determine c(z(m)).
101*m
Let q(a) = 15*a**2. Suppose -2 = -8*b + 22. Let d(k) = 153 - 308 + b*k + 155. Calculate q(d(l)).
135*l**2
Let c(n) = 5*n**2. Let d = 133 + -129. Let m(l) = d*l - l + l - l. Determine c(m(z)).
45*z**2
Let s(y) = 288*y**2. Let b(z) = -z - 143. What is s(b(l))?
288*l**2 + 82368*l + 5889312
Let g(n) = -5*n**2 + 5*n**2 - 3*n**2. Let f(p) = p + 22. Let t(y) = -2. Let v = 85 - 87. Let m(d) = v*f(d) - 22*t(d). What is g(m(b))?
-12*b**2
Let u(v) = 456*v. Let z(r) = 80*r**2. What is u(z(k))?
36480*k**2
Let n(d) = 23173*d**2. Let m(a) = 31*a**2. Give n(m(b)).
22269253*b**4
Let n(t) be the first derivative of -t**2/2 + 135. Let k(g) = -2*g + 47. Determine n(k(s)).
2*s - 47
Suppose -23*i = -22*i. Let o = 1 - 1. Let q(w) = i*w**2 + w**2 + o*w**2 - 2*w**2. Let z(v) = v**2. Give z(q(h)).
h**4
Let t(u) = -220*u**2 - 108*u**2 + 547*u**2 - 71*u**2. Let y(s) = -s. Give t(y(o)).
148*o**2
Let w(k) = 3*k**2. Let s(g) = -233*g**2 - 145. Give s(w(h)).
-2097*h**4 - 145
Let s(r) = -2 - 5 + 0 + r - 6*r. Let i(q) = -2*q**2. Calculate i(s(g)).
-50*g**2 - 140*g - 98
Suppose -2*p + 3 = -3. Let v = 0 + 15. Let h(a) = -v*a + p*a + 4*a + 3*a. Let x(k) = -k**2. What is h(x(g))?
5*g**2
Let p(s) = -7*s. Let x(g) = -10606*g**2 - 3*g. What is p(x(z))?
74242*z**2 + 21*z
Let f(t) be the first derivative of -41*t**2/2 + 148. Let j(b) = -b. Determine f(j(x)).
41*x
Let l = -1 + 3. Let n(d) = -l + 2 - 21*d. Let i(j) = -48*j**2 + 3845*j - 3845*j + 50*j**2. Give n(i(v)).
-42*v**2
Let b(v) = v. Let a(k) = 4*k + 3. Let y(l) = 0 - 5*l - 2 + 0*l. Let s(o) = 2*a(o) + 3*y(o). Determine s(b(i)).
-7*i
Let i(c) = 3*c - 5. Let j(k) = -2*k - 63 + 34 + 29. What is j(i(y))?
-6*y + 10
Let z(m) = -4*m**2. Let n(g) = -9*g - 6. Let a = -39 + 33. Let s(b) = b + 1. Let v(p) = a*s(p) - n(p). Give v(z(k)).
-12*k**2
Let b(l) = 222240*l. Let u(y) = -y**2. Determine u(b(x)).
-49390617600*x**2
Let m(o) = 2*o. Let f(h) be the first derivative of 9*h + 1/12*h**4 + 0*h**2 - 1 + 0*h**3. Let t(i) be the first derivative of f(i). Determine m(t(x)).
2*x**2
Let z(i) be the second derivative of i**3/3 - 129*i**2/2 + 52*i. Let n(b) = b**2. Give z(n(q)).
2*q**2 - 129
Let g(u) = 769320*u. Let v(a) = -2*a. Calculate g(v(y)).
-1538640*y
Let v(p) = 10*p**2. Let j(y) be the second derivative of -17*y**3/6 - 55*y. Calculate v(j(s)).
2890*s**2
Let i(p) = 988*p**2 + 14. Let w(z) = 3*z**2. Determine i(w(y)).
8892*y**4 + 14
Let p(c) = -2*c. Let r(m) = 22237*m - 4. Calculate p(r(w)).
-44474*w + 8
Let x(s) = -s**2 - 1. Let y(n) = -6*n**2 - 3. Let o = 7 - 4. Let a(j) = o*x(j) - y(j). Let v(k) = -4*k + 14*k - 11*k. Calculate v(a(b)).
-3*b**2
Suppose -16 + 6 = -5*x. Let v(d) = 21*d**x - 14*d**2 + d - d. Let c(j) = 5*j**2 - 6*j + 6. Let t(w) = w**2 - w + 1. Let r(f) = -c(f) + 6*t(f). What is r(v(u))?
49*u**4
Let g(f) = 4*f**2. Let v(k) = 6*k**2 - 2733 - 2741 + 5475. Calculate v(g(n)).
96*n**4 + 1
Let t(n) = -n. Let g(b) = 48*b**