(g)).
-76*g**2
Let m(z) be the first derivative of 3*z**2/2 + 416. Let p(n) be the second derivative of -n**4/12 - 6*n. What is p(m(i))?
-9*i**2
Let c(u) be the first derivative of 10*u + 4/3*u**3 + 0*u**2 + 20. Let g(v) be the first derivative of c(v). Let s(j) = j**2. What is s(g(z))?
64*z**2
Let y(c) = -3*c**2. Let i(z) = -10*z**2 + 12*z - 16. Let h(b) = -6*b**2 + 8*b - 10. Let f(n) = -8*h(n) + 5*i(n). What is y(f(r))?
-12*r**4 - 48*r**3 - 48*r**2
Let o(w) = -29*w + 12. Let j(l) = -43*l + 20. Let k(a) = -3*j(a) + 5*o(a). Let q(m) = 106*m**2. Determine k(q(n)).
-1696*n**2
Let i(t) = -t**2 + 16 + 8*t + 0 - 8*t - 36. Let a(d) = 4*d. What is a(i(k))?
-4*k**2 - 80
Let i(m) = 3*m**2. Suppose 3*y - 4*a = 205, 6*y = y - 2*a + 385. Let s = y + -71. Let p(w) = 2 - 6 + s + 12*w. Give p(i(c)).
36*c**2
Let l(p) = -13*p. Let u(b) = -6*b. Let f(d) = d. Let y(x) = -21*f(x) - 4*u(x). Let q(m) = -4*l(m) - 18*y(m). Let o(z) = -7*z. What is q(o(j))?
14*j
Let f(y) = 2883*y - 1375*y - 1503*y. Let p(k) = -372*k. Calculate p(f(n)).
-1860*n
Let k(d) = -d. Let a(c) = 14*c**2 + 64833*c. Calculate a(k(t)).
14*t**2 - 64833*t
Let l(s) = 3*s**2 + 3*s - 28. Let q(v) = -21*v. Calculate l(q(x)).
1323*x**2 - 63*x - 28
Let m(w) = -w. Let g(k) = -19568*k**2 - 463*k. What is m(g(j))?
19568*j**2 + 463*j
Suppose -s - 143 = -5*k - 48, 0 = -s. Let h = k - 17. Let n(m) = -2 + 30*m**2 + h - 29*m**2. Let j(g) = 2*g. Calculate j(n(r)).
2*r**2
Let l(o) = o**3 - 7*o**2 + 10*o + 4. Let m be l(5). Suppose -k - 3 = 3*n, -n = m*k - 2*n - 1. Let t(u) = k*u + 0*u - u. Let g(v) = -v. Calculate g(t(x)).
x
Let a(k) = 3 + 271*k - 82*k - 3*k**2 - 189*k - 3. Let o(m) = 10*m + 14*m + 2*m. Calculate a(o(d)).
-2028*d**2
Let x(z) be the second derivative of -z**3/3 + z. Let f = 73 + -34. Let t(j) = 26*j + 12*j - f*j. Determine t(x(g)).
2*g
Let y(p) = 329664*p. Let w(j) = 2*j. Calculate w(y(h)).
659328*h
Let h(d) = 7*d**2 - 148*d. Let z(p) be the third derivative of -p**4/12 + p**2 - 51*p + 22. What is z(h(g))?
-14*g**2 + 296*g
Let c(t) = -5*t. Let s(b) be the third derivative of 0*b**3 + 0 - 121*b**2 + 0*b**4 + 1/6*b**5 + 0*b. Determine c(s(a)).
-50*a**2
Let t(s) = 3*s - 92. Let c(b) = 19. Let g(x) = 11*c(x) + 2*t(x). Let i(f) = f. What is i(g(z))?
6*z + 25
Let p(a) = -6*a**2 - 29*a. Let f(j) = 42*j**2 + 91*j + 13. Let r(u) = 23*u**2 + 42*u + 6. Let b(i) = 6*f(i) - 13*r(i). Determine p(b(m)).
-13254*m**4 + 1363*m**2
Let n(o) be the first derivative of -o**3 - 984. Let w(i) = -7*i - 84. Give w(n(z)).
21*z**2 - 84
Let m(l) = 302 - 428 + 126 - 17*l**2. Let p(y) = -92*y**2 + 2. Calculate m(p(c)).
-143888*c**4 + 6256*c**2 - 68
Let t(z) be the third derivative of 541*z**4/8 - 2*z**2 - 7410. Let k(l) = -4*l**2. What is t(k(r))?
-6492*r**2
Let p(w) = -137*w**2 - w. Let r(x) be the third derivative of 2*x**5/15 - 234*x**2. Calculate p(r(h)).
-8768*h**4 - 8*h**2
Let d(m) = 39*m**2. Let o(s) = 34*s + 44*s - 29*s - 182*s + 28*s. Calculate o(d(i)).
-4095*i**2
Let v(w) = 4*w - 4048. Let g(i) = 29*i - 5. Give v(g(y)).
116*y - 4068
Let a(v) = v. Let y(i) = -i**2 + 6409*i + 9. Calculate y(a(c)).
-c**2 + 6409*c + 9
Let o(m) = 1539 - m + 0*m - 1537 - m**2. Let g(q) = -15*q**2 - 9*q + 18. Let z(i) = -g(i) + 9*o(i). Let y(w) = 20*w. Determine z(y(c)).
2400*c**2
Let r(m) = m**2. Let i(p) = 521870*p**2 - p. Calculate i(r(a)).
521870*a**4 - a**2
Let t(j) be the second derivative of 5*j**3/3 - 936*j. Let w(n) = 26*n**2. Give w(t(c)).
2600*c**2
Let x(y) = 9*y**2. Let k(b) = 958*b**2 - 12*b + 156. Let v(u) = 958*u**2 - 10*u + 130. Let s(t) = 5*k(t) - 6*v(t). Calculate s(x(w)).
-77598*w**4
Let j(w) = 2 - 263*w - 7 + 536*w - 236*w. Let m(r) = 5*r**2. Calculate m(j(k)).
6845*k**2 - 1850*k + 125
Let l(r) = -4*r. Let k(s) = -5*s - 50. Let w(v) = 3*v + 31. Let t(c) = -4*k(c) - 7*w(c). Determine l(t(x)).
4*x + 68
Let o(j) = 2*j**2 + 10461*j + 26. Let f(h) = 6*h**2. What is o(f(s))?
72*s**4 + 62766*s**2 + 26
Let d(s) = -3*s**2 - 7*s + 7. Let r be d(1). Let u = r + 12. Let f(g) = 13*g - 4*g - u*g - 2*g**2. Let m(h) = -43*h**2. Determine f(m(i)).
-3698*i**4
Let f(d) = d + 14. Let y(u) = 14*u + 112. Let x(k) = 24*f(k) - 3*y(k). Let o(i) = 23*i**2. What is o(x(c))?
7452*c**2
Let h be 2/8 - 148/(-32)*46. Let t(x) = -h + 213 + 74*x. Let p(n) = n. Determine t(p(r)).
74*r
Let b(h) = -6*h + 0*h + 4*h - 2*h. Let c(q) = q**2 - 11*q + 1. Let g be c(14). Let u(f) = g*f + 45*f - 93*f. Determine b(u(y)).
20*y
Let i(f) = 7*f. Let g(y) be the third derivative of -37*y**4/24 - 9194*y**2. Give i(g(z)).
-259*z
Let j(a) be the first derivative of -85*a**2/2 + 4121. Let b(i) = 46*i. Determine b(j(s)).
-3910*s
Let m(z) = -31501*z**2 - 31477*z**2 + 62987*z**2. Let u be (-38)/(-8) + (-2)/(-8). Let k(o) = -u*o + 4*o - o. Determine m(k(j)).
36*j**2
Let p(d) = 2*d**2 + 6*d. Let m(n) = -3*n**2 - 15*n. Let l(q) = 6*m(q) + 15*p(q). Let v(x) = -57*x**2 + 27*x**2 + 29*x**2. Calculate v(l(r)).
-144*r**4
Let r(p) = -19208*p. Let b(l) = 569*l + 2. Give r(b(c)).
-10929352*c - 38416
Let k(b) = 69*b**2. Let t(u) be the second derivative of -4*u**3/3 - 622*u. Determine t(k(v)).
-552*v**2
Let i(c) = -c**2. Let b(g) = -4*g + 32. Let l be b(8). Let p(z) = 5*z - 14*z + l*z. Calculate p(i(j)).
9*j**2
Let j(x) = -334*x**2 + 7*x + 111. Let a(n) = -2*n. Give a(j(d)).
668*d**2 - 14*d - 222
Let h(s) = -4*s**2. Let r(g) be the third derivative of 169*g**5/12 + 1095*g**2. Determine h(r(d)).
-2856100*d**4
Let x(a) = a. Let g(j) = -4048*j + 19444. Calculate x(g(l)).
-4048*l + 19444
Let h(j) = -124746*j. Let n(w) = 3*w**2 - 80*w. Give n(h(x)).
46684693548*x**2 + 9979680*x
Let v(i) be the third derivative of -i**4/8 - 45*i**2 + 5*i. Let r(m) = -538*m. Determine r(v(t)).
1614*t
Let s(t) = 8*t + 7. Let n(u) = 1 - 2 + 0 - u + 0. Let p(w) = -14*n(w) - 2*s(w). Let h(r) = 7*r**2 - 58*r**2 + 2*r**2 + 16*r**2 + 7*r**2. Determine p(h(m)).
52*m**2
Let q(o) be the third derivative of -o**5/60 + 128*o**2. Let g(k) = -5834 + 5834 + 7*k**2. Determine g(q(l)).
7*l**4
Let r(n) = 11*n + 3. Let h(y) = -60*y**2 - 28*y - 7. Let k(i) = -58*i**2 - 24*i - 6. Let d(j) = -6*h(j) + 7*k(j). What is d(r(z))?
-5566*z**2 - 3036*z - 414
Let j(k) = k**3 + 8*k**2 - k - 5. Let q be j(-8). Let x(y) be the first derivative of -5*y**3 + 1 - y**3 + 8*y**q - 4*y**3. Let a(f) = -f. What is a(x(d))?
6*d**2
Let q(b) = 2*b. Let j be 6/9*2 - 20/(-3). Suppose 0 = 9*y - j*y - 249. Let v(r) = y*r - 240*r + 3 - 3. Determine v(q(s)).
18*s
Suppose 26 = -2*p - 2*n, -43 = 4*p - 6*n + n. Let s be p/32 - 6/(-16). Let h(l) = s*l + 1657*l**2 + 0*l - 1660*l**2. Let k(b) = -4*b**2. Give h(k(q)).
-48*q**4
Let i(v) be the third derivative of -2*v**5/5 - 108*v**2 + 1. Let m(l) = l + 11*l - 6*l - 4*l. Determine i(m(r)).
-96*r**2
Let i(m) = 4 - 4 + 47938756*m - 47938754*m. Let v(j) = 104*j**2 + 6*j. What is i(v(l))?
208*l**2 + 12*l
Let w(j) = -j**2 + 2*j + 4. Let m be w(0). Suppose -3 = m*h - 19. Let d(i) = -5*i - h*i + 8*i. Let t(n) = n**2. Calculate t(d(p)).
p**2
Suppose 1288 = 23*f - 322. Let z(w) = -3*w + f + 59 - 129. Let p(g) = -6*g. Determine p(z(n)).
18*n
Let v be 4 - ((-8)/3)/((-1)/3). Let o(n) = n**2 + 4*n - 4. Let k(d) = 2*d**2 + 5*d - 5. Let c(a) = v*k(a) + 5*o(a). Let m(g) = 8*g. Determine m(c(q)).
-24*q**2
Let t(x) = -2*x - 1013. Let i(u) = 39*u**2 + 7*u - 91. Let f(h) = -17*h**2 - 3*h + 39. Let m(s) = -7*f(s) - 3*i(s). Give t(m(a)).
-4*a**2 - 1013
Let j(m) = 5*m**2. Suppose k - 6 = -4*y, -2 = -2*y + 2*k + 6. Let f(n) = -32*n + 14*n + 18*n - 3*n**y. What is f(j(x))?
-75*x**4
Let b(p) = -20*p - 20. Let o(s) = -s + 1. Let k(u) = -b(u) - 20*o(u). Let z(i) = -218*i + 9*i**2 - 8*i**2 + 218*i. Give z(k(t)).
1600*t**2
Let x(t) = -3*t**2 + 2*t + 1063978. Let b(d) = -4*d. Calculate b(x(v)).
12*v**2 - 8*v - 4255912
Let w(j) = -5*j**2. Let p(x) = 306*x**2 + 80475*x - 80475*x. Determine p(w(z)).
7650*z**4
Let q(j) = -3*j + 3799088. Let i(c) = c. Give i(q(d)).
-3*d + 3799088
Let g(t) = 7*t. Let k(o) be the first derivative of 57 - 10/3*o**3 + 0*o + 0*o**2. Give g(k(a)).
-70*a**2
Let n(u) = -101*u**2 - 119*u**2 + 60*u**2. Let h(s) = 5*s - 18. Let z(o) = -2*o + 9. Let x(c) = -2*h(c) - 4*z(c). Give n(x(d)).
-640*d**2
Let x(b) = b**2 - 5*b. Let l(v) be the second derivative of -v**4/12 + v**3/6 + 44*v. Let f(d) = -5*l(d) - x(d). Let n(u) = -19*u**2. Ca