(i).
-12*i + 3
Let j(y) = -5*y**2 - 1695*y + 16. Let u(w) = -w**2 - 340*w + 3. Calculate -2*j(g) + 11*u(g).
-g**2 - 350*g + 1
Let d(m) = 27*m**3 - 6*m**2 - 17*m + 5. Let a(f) = 5*f**3 - f**2 - 3*f - 1. What is -3*a(j) + d(j)?
12*j**3 - 3*j**2 - 8*j + 8
Let t(i) = 19*i**3 - 5*i**2 - 5*i - 5. Let k(x) be the third derivative of 3*x**6/40 - x**5/30 - x**4/12 - x**3/3 - 10*x**2 + 7*x. Determine 5*k(v) - 2*t(v).
7*v**3
Let g(b) = 5*b + 4. Let h be ((-225)/15 - -28) + 0. Let k(d) = -11*d - 9. What is h*g(u) + 6*k(u)?
-u - 2
Let h(j) = -j**2 + 3*j + 10. Let i(w) = 8*w**2 - 2*w - 25. Let k(m) = -17*m**2 + 3*m + 51. Let c(p) = -11*i(p) - 5*k(p). What is -2*c(r) + 5*h(r)?
r**2 + r + 10
Let d(m) = -7*m**2 - 482*m - 22. Let v(q) = -4*q**2 - 241*q - 12. Give 6*d(a) - 11*v(a).
2*a**2 - 241*a
Let a(t) = 1. Let s(r) = r + 1. Let d(j) = -a(j) + s(j). Let p(k) = -k + 1. Let f(q) = -5*d(q) - p(q). Let x(i) = -3*i. Determine 5*f(m) - 6*x(m).
-2*m - 5
Let d(v) be the first derivative of 5*v**2 - 5*v - 2. Let m = 112 + -107. Let q(b) be the first derivative of 11*b**2/2 - 6*b - 69. Give m*q(r) - 6*d(r).
-5*r
Let x(w) = 3 + 47*w**2 + 6*w - 45*w**2 - 4. Let o be x(-4). Let c(l) = 3*l**2 + 5. Let q(z) = 5*z**2 + 7. Let s = -5 - 0. Determine o*c(m) + s*q(m).
-4*m**2
Let p(l) = 9*l. Let a(d) = -5*d - 804. Let m(u) = -5*u - 670. Let x(h) = 5*a(h) - 6*m(h). Determine -4*p(n) + 10*x(n).
14*n
Let q(y) = 45*y + 1. Let r be 8/(125 - 131 - (-1 - 7)). Let m(v) = -46*v - 1. Give r*m(g) + 3*q(g).
-49*g - 1
Let j(o) = -3*o + 1. Let b(g) = -g**3 - 11*g**2 - 19*g - 5. Let f be b(-9). Let k(s) = -f*s - 1 + 4*s + 2*s + s. Calculate 5*j(v) + 6*k(v).
3*v - 1
Let m(o) = -o**2 - 16*o + 1. Let k(r) = 22*r**3 + 11*r**2 + 127*r - 7. Give -k(c) - 8*m(c).
-22*c**3 - 3*c**2 + c - 1
Let q(o) = -4*o**2 - 79*o - 76. Let x(s) = 11*s**2 + 250*s + 230. Determine 19*q(z) + 6*x(z).
-10*z**2 - z - 64
Let z(l) = 4*l**3 - 2*l**2 - 89*l - 14. Let i(w) = 2*w**3 - 2*w**2 - 84*w - 17. What is 4*i(s) - 5*z(s)?
-12*s**3 + 2*s**2 + 109*s + 2
Let x(k) be the second derivative of -k**4/12 + k**3/6 + 2*k - 1015. Let n(p) = 4*p**2 + p + 1. Give -n(s) + x(s).
-5*s**2 - 1
Let o(q) = 8*q**2 + 7. Let n(v) = -7*v**2 - 6. Suppose -8*t + 15 + 129 = 0. Let x(f) = -f**3 + 18*f**2 - 2*f + 30. Let i be x(t). What is i*o(m) - 7*n(m)?
m**2
Let o(h) = 34*h + 8. Let p(c) be the first derivative of -33*c**2/2 - 9*c - 13203. Calculate 7*o(g) + 6*p(g).
40*g + 2
Let a(p) = 2*p - 19. Suppose 73*n + 54 - 295 = 343. Let b(w) = 6*w - 57. Determine n*a(x) - 3*b(x).
-2*x + 19
Let c(h) = 10396*h + 2. Let d(l) = 1767341*l + 341. Give 682*c(w) - 4*d(w).
20708*w
Let f(l) = -10*l**2 - 6*l + 113. Let j(i) = 7*i**2 + 4*i - 111. Give 4*f(w) + 6*j(w).
2*w**2 - 214
Let t = 216 + -208. Let o(k) = 11*k**2 - 9*k**2 - k + 6 - 12 + t. Let s(z) = -3*z**2 + 2*z - 2. Give 4*o(y) + 3*s(y).
-y**2 + 2*y + 2
Let k(i) = -1452*i + 50. Let h(z) = -365*z + 12. Determine -17*h(t) + 4*k(t).
397*t - 4
Let c(x) = 9*x - 6. Let f be 6 - -1 - (-36)/12*-4. Let o(m) = -5*m + 3. Calculate f*o(g) - 3*c(g).
-2*g + 3
Let k(j) = -j**2 - j. Let v(t) = 48*t**2 + 26*t - 7. Let n(h) = 23*h**2 + 14*h - 4. Let x(p) = -7*n(p) + 4*v(p). Give -6*k(l) - x(l).
-25*l**2
Let k(h) = -h**3 + h**2 - h + 1. Let n(u) = 89*u**3 - 8*u**2 + 13*u - 8. Give -8*k(l) - n(l).
-81*l**3 - 5*l
Let q(k) = -17*k - 3. Let x(r) = -8*r - 1. Suppose 8*z - 54 + 6 = 0. Let a(b) = -3*b + 31. Let l be a(z). Calculate l*x(y) - 6*q(y).
-2*y + 5
Suppose -16 = -8*d + 14*v - 18*v, 8 = -d - 3*v. Let k(h) = -h - 6. Let s(o) = -o - 7. What is d*k(c) - 3*s(c)?
-c - 3
Let d(c) = 18*c**3 - 2*c**2 - 2*c - 2. Let h(l) = 180*l**3 - 21*l**2 - 21*l - 21. Suppose 0 = -122*w + 1905 + 657. Determine w*d(q) - 2*h(q).
18*q**3
Let q(f) = 210*f + 576. Let w(x) = -19*x - 52. Determine -6*q(c) - 68*w(c).
32*c + 80
Let m(j) = -2*j**3 + 23*j**2 - 17*j - 19. Let z be m(9). Suppose 5*g - z + 228 = 0. Let n(t) = 1. Let f(r) = -r**2 - 1. Determine g*f(o) + n(o).
-o**2
Let m(u) = u**3 + 85*u**2 - 1054*u - 17. Let t be m(11). Let b(l) = l**3 + 13*l**2 + 7*l + 2. Let f(q) = q**3 + 7*q**2 + 4*q + 1. Calculate t*f(y) - 3*b(y).
2*y**3 - 4*y**2 - y - 1
Let h be (-50)/(-18) + 24/108. Let f(x) = -5 - 492*x - 5*x**3 - 5*x**h + 497*x. Let g(t) = -11*t**3 + 6*t - 6. Determine 6*f(c) - 5*g(c).
-5*c**3
Suppose 19*z = 18*z + 25. Let l = 30 - z. Let x(b) = 2*b - 7. Let w(v) = -v + 8. Let d(o) = -2*o + 18. Let y(t) = 5*d(t) - 12*w(t). What is l*x(u) - 6*y(u)?
-2*u + 1
Let r(t) = -6*t**2 - 20*t + 35. Let f(s) = -2*s**2 - 7*s + 11. Give 17*f(u) - 6*r(u).
2*u**2 + u - 23
Let o(h) = 3*h**3 - 5*h**2 - h + 5. Let l(i) be the first derivative of -1/2*i**4 + 2/3*i**3 - 2*i + 209 + 0*i**2. Calculate 5*l(c) + 2*o(c).
-4*c**3 - 2*c
Let j(z) = -29*z**3 + 2*z**2 + 2*z. Let s(t) = 1101*t**3 + 2030*t**3 - 114*t**2 - 78*t**2 - 217*t - 15*t**2 - 10*t**2. Give -217*j(y) - 2*s(y).
31*y**3
Let s(b) = 12139*b - 2. Let v(y) = -6067*y + 1. What is -5*s(n) - 9*v(n)?
-6092*n + 1
Let n(m) = -1655*m + 4. Let p(k) = 1385*k - 4. Let x(f) = -5*n(f) - 6*p(f). Let u(w) = 70*w - 7. Determine 6*u(v) + 11*x(v).
35*v + 2
Suppose 2*t = 5*t + 12. Let y(w) = 5*w - 5. Let s(l) = -5*l. Let u(b) = -5*b + 1. Let k(j) = 3*s(j) - 4*u(j). Calculate t*y(h) + 5*k(h).
5*h
Let m(z) = -7*z**2 - 3*z + 735. Let g(f) = 9*f**2 + 4*f - 735. Give 3*g(b) + 4*m(b).
-b**2 + 735
Let d(f) = -65*f + 460. Let n be d(7). Let t(q) = -16*q - 8. Let h(j) = -j - 1. Determine n*h(g) - t(g).
11*g + 3
Let v(j) = j**2 + 3*j. Suppose 55*a + 990 = 220*a. Let z(o) = -10*o**2 - 34*o. Calculate a*z(n) + 68*v(n).
8*n**2
Let c(p) = -13*p**3 - 24*p**2 + 6*p + 4805. Let b(g) = 28*g**3 + 52*g**2 - 13*g - 9610. What is 6*b(m) + 13*c(m)?
-m**3 + 4805
Let l(f) = -f. Let g(s) = 14*s - 1. Suppose -39*i - 35*i - 37*i = 111. Determine i*g(h) - 4*l(h).
-10*h + 1
Let l be 1/(-3) - 4/6. Let x(y) = -28*y + 66 - 67 - y**2 - 25*y + 52*y. Let g(p) = -p**3 + 2*p**2 + 3*p + 4. Suppose -4*f - 5 = 11. Calculate f*x(s) + l*g(s).
s**3 + 2*s**2 + s
Let r(n) = -n + 1. Let d(j) = -15*j + 29. Let z(m) be the first derivative of 7*m**2 - 26*m - 121. Let f(l) = 6*d(l) + 7*z(l). Determine f(x) + 6*r(x).
2*x - 2
Let x(b) = -3078661377*b - 346489. Let m(f) = 26656*f + 3. What is 346489*m(p) + 3*x(p)?
26653*p
Let w(v) = 23*v**3 - 7*v**2 - 15*v - 11. Let o(r) = -6*r**3 + 2*r**2 + 4*r + 3. Suppose -48 = -6*x, -2*x = 16*j - 15*j - 38. Determine j*o(a) + 6*w(a).
6*a**3 + 2*a**2 - 2*a
Suppose -87*z + 2*f - 1867 = -90*z, -5*z = f - 3114. Let n(p) = 13884*p**3 + 623*p**2. Let q(a) = 89*a**3 + 4*a**2. What is z*q(s) - 4*n(s)?
-89*s**3
Let q(z) = z**2 + z + 1. Let r(b) be the first derivative of -7*b**3/3 - 7*b**2/2 - 3*b - 2. Let u be ((-4)/(-10))/((-3)/(-5))*(-852)/568. Give u*r(p) - 5*q(p).
2*p**2 + 2*p - 2
Let f(v) = 18*v - 33. Let b(u) = -16*u + 17. Give -6*b(i) - 5*f(i).
6*i + 63
Let r(p) = 26*p**2 + 5*p + 102. Let k(l) = -32*l**2 - 6*l - 102. Give -4*k(v) - 5*r(v).
-2*v**2 - v - 102
Let f(h) = 4*h**3 - 3*h. Let o(i) = 2 - 18*i + 29*i - 15*i + 3*i**3 - 2. Calculate 4*f(k) - 3*o(k).
7*k**3
Let a(x) = -3*x. Let d(m) = 18*m + 218. Give -5*a(j) - d(j).
-3*j - 218
Let y(o) = -4*o - 1. Let m(t) be the second derivative of 1/2*t**2 + 1/2*t**3 + 0 - 137*t. Determine -6*m(k) - 4*y(k).
-2*k - 2
Let t(g) = 70*g**2 + 18*g + 26. Let l(w) = -25*w**2 - 6*w - 9. Let q(h) = 17*l(h) + 6*t(h). Let f(u) = -2*u**2 + 2*u + 1. Give 7*f(m) - 2*q(m).
-4*m**2 + 2*m + 1
Let r(l) = 11*l - 639. Let z(s) = -29*s + 1915. Determine -8*r(v) - 3*z(v).
-v - 633
Let s(l) be the second derivative of 3*l**3/2 + 17*l**2/2 - 26*l - 7. Let w(v) = -2*v - 4. What is 6*s(p) + 26*w(p)?
2*p - 2
Let b(x) = 50*x - 25. Let v(z) = -135*z + 75. Determine -8*b(g) - 3*v(g).
5*g - 25
Suppose -48*t = 74*t + 244. Let f(j) = 20*j**2 + 2*j + 1. Let d(s) = -39*s**2 - 5*s - 2. Calculate t*d(l) - 5*f(l).
-22*l**2 - 1
Let n(c) = 2*c**3 - 4*c**2 + c. Let u = -93 + 100. Let j(x) = 2*x - 15. Let a be j(u). Let v be 8/2*(-4)/8 - a. Let r(t) = -t**3 - t**2 - t. Give v*r(q) - n(q).
-q**3 + 5*q**2
Let w(j) be the second derivative of 2*j**3/3 + 2*j**2 - 4548*j. Let i(b) be the first derivative of b - 3. Calculate -4*i(v) + w(v).
4*v
Let u(k) = 31*k + 5. Let h(s) = 57*s + 4. Let d(b) = -102*b - 7. Let r(t) = -6*d(t) - 11*h(t). What is 5*r(i) 