i).
i**3 - 32*i**2 + i + 1
Let o(k) = 6*k - 28. Let i be o(7). Let p be ((-2)/((-4)/i))/(6 - 5). Let c(r) = -4*r**2 + 3*r - 13. Let g(u) = 3*u**2 - 2*u + 9. What is p*g(y) + 5*c(y)?
y**2 + y - 2
Let i(a) = -6*a - 2. Let w(d) = 9*d + 3. Let u = 0 - -7. Let m be ((-650)/(-715))/((-2)/(-11)). What is m*w(v) + u*i(v)?
3*v + 1
Let t(l) = -4*l**3 - 3*l**2 - 3. Let w(r) be the second derivative of r**5/5 + r**4/3 + r**2 + 1225*r + 1. What is 3*t(h) + 2*w(h)?
-4*h**3 - h**2 - 5
Let r(y) = 79*y - 59. Let q(c) = -238*c + 195. What is 3*q(a) + 10*r(a)?
76*a - 5
Suppose 0 = 3*j + 5*p - 7, -3*j - p = 2*p - 9. Suppose n - j = 3*u - 0, -6 = -4*n + 2*u. Let s(t) = -4*t + 3. Let c(r) = -r + 1. Calculate n*s(i) - 2*c(i).
-2*i + 1
Let c(u) = u**3 - u**2 + u - 1. Let g(m) = 10*m**3 + 29*m**2 - 15*m - 3. Let v(x) = 2*x**3 - 2*x**2 - 2*x - 1. Let n(s) = -g(s) + 6*v(s). Give 3*c(l) - n(l).
l**3 + 38*l**2
Let r(i) = 1580*i**2 + 8*i - 30. Let l(w) = 1582*w**2 + 9*w - 45. Calculate -2*l(j) + 3*r(j).
1576*j**2 + 6*j
Let i(t) = 5 + t - 2 - 2. Let v(f) = 7*f + 6. Suppose 29*p - 47*p - 96 = 29*p + 49*p. Let c = 3 - -2. Give c*i(k) + p*v(k).
-2*k - 1
Let c(q) = 82*q - 309. Let o(a) = -65*a + 313. What is 4*c(r) + 5*o(r)?
3*r + 329
Let v(g) = -5*g + 4. Let b(t) = t. Suppose 0 = -3*w - 2*s + 13, w + 3*s = 12 + 4. What is w*v(k) + 6*b(k)?
k + 4
Let a(f) = -2*f**2 + f + 2. Let w(s) = -24*s**2 + 145*s + 11. Let c(l) = 13*l**2 - 79*l - 6. Let x(u) = -11*c(u) - 6*w(u). What is -a(i) - 5*x(i)?
-3*i**2 + 4*i - 2
Let p(l) = 54*l**2 + 4*l - 450. Let u(b) = 81*b**2 + 6*b - 691. Give 8*p(v) - 5*u(v).
27*v**2 + 2*v - 145
Let f(t) = 6361355*t**2 - 5642*t + 11284. Let y(s) = 5637*s**2 - 5*s + 10. Determine -5*f(o) + 5642*y(o).
-2821*o**2
Let g(d) = -9*d**3 + 5*d + 5. Suppose 53 = 62*h - 9*h. Let o = -1 - -3. Let r(w) = -o - 2*w**3 + 1 + w**3 + w + 2. Give h*g(t) - 5*r(t).
-4*t**3
Let z(x) = -15*x**3 + 2. Let g be (42/(-35))/(20/50). Let j(m) = -8*m**3 + 1. Give g*z(c) + 7*j(c).
-11*c**3 + 1
Let s(w) = -w + 1. Let x(c) = -c + 4. Let y = -41664 + 41668. Calculate y*s(a) + x(a).
-5*a + 8
Let z(s) = 7*s**3 + s**2 + 9*s - 8. Let x(q) = -q**3 - q + 1. Let r be (25/15)/(20/12 - 0). What is r*z(p) + 6*x(p)?
p**3 + p**2 + 3*p - 2
Let n(k) = 3*k**2 + 93*k + 5. Let p(h) = -h**2 - 37*h - 2. Let g(o) = -2*n(o) - 5*p(o). Let q(d) = -102*d**2 - 85*d. Calculate -170*g(m) + 2*q(m).
-34*m**2
Let z(x) = -x. Let w(h) = 4*h - 3. Let b(y) = -w(y) - 3*z(y). Let v(p) = 2*p - 7. Let f(s) = -s**3 + 23*s + 15. Let j be f(5). Determine j*b(r) + 2*v(r).
-r + 1
Let l(y) = 15*y**3 + 723*y + 2. Let f(m) = 2*m**3 - 2*m. Give -8*f(c) + l(c).
-c**3 + 739*c + 2
Let j(z) = -87*z + 296. Let s(k) = 32*k - 99. Calculate -4*j(l) - 11*s(l).
-4*l - 95
Let g(f) = -20*f - 20. Let w(q) = -17*q + 93. Let j(i) = -16*i + 83. Let n(o) = -10*j(o) + 9*w(o). What is 6*g(u) + 17*n(u)?
-u - 1
Let s(a) = 7*a + 1. Let h = 0 - -5. Let j(m) = -6*m - 1. Suppose -y = 4*y - 0*y. Let w be (-20)/8*(y + 60/(-25)). Calculate h*s(f) + w*j(f).
-f - 1
Let b(j) = 8*j**2 - 4*j - 13. Let x(h) = -35*h**2 + 17*h + 53. Let l(i) = 9*b(i) + 2*x(i). Let r(w) = 2*w + w**2 - 5 + 2*w - 5*w. Determine 3*l(o) - 7*r(o).
-o**2 + o + 2
Let d(f) = -112*f**2 + 25*f + 1. Let g(v) = -57*v**2 + 14*v. Calculate -2*d(l) + 5*g(l).
-61*l**2 + 20*l - 2
Let y(d) = 24*d**2 + 3*d + 11. Let g(b) = b**2 - b - 5. Determine -5*g(r) - y(r).
-29*r**2 + 2*r + 14
Let q(y) = 2*y - 5. Let a(b) be the first derivative of -9 + 1/2*b**2 - b. Let m(r) = 9*r + 14. Let x be m(-2). Give x*a(v) + q(v).
-2*v - 1
Let w(x) = -6*x**2 + 9*x**3 + 0*x**3 - 4*x**3. Let j(g) be the second derivative of -3*g**5/10 + 7*g**4/12 + 1543*g. What is -3*j(t) - 4*w(t)?
-2*t**3 + 3*t**2
Let q(w) = w**2 + 2*w + 2. Let b(p) = 2*p**2 + 5*p + 5. Let k be -40*6*(-6)/45. Suppose 0 = -3*t + 2 - k. Let c = t - -14. Give c*b(z) - 10*q(z).
-2*z**2
Let j(m) = -m**3 + 6*m**2 - 6*m + 3. Let i(v) = -v**3 + 5*v**2 - 5*v + 2. Suppose 5*x + 3*w + 24 = 2*w, 2*x = -5*w + 18. Determine x*i(l) + 5*j(l).
l**3 + 3
Let d(y) = 10*y + 5. Let p(z) = 144*z - 104*z - 51*z - 4. Determine -5*d(w) - 6*p(w).
16*w - 1
Let f(g) = -g. Let x(p) be the second derivative of 4*p**3 - 1491*p. What is -136*f(l) - 6*x(l)?
-8*l
Let j(r) = 2. Suppose 0 - 6 = -3*p. Let v(t) = t**2 - 6. Suppose 56 = 10*l + 36. Suppose 5*b + 45 = 5*d, -l*d - d + b = -21. What is d*j(w) + p*v(w)?
2*w**2
Let l(r) = 130*r**2 + 4*r + 260. Let h(k) = -26*k**2 - k - 47. Let j(w) = -11*h(w) - 2*l(w). Let z(p) = -13*p**2 - p + 1. Give -2*j(n) - 5*z(n).
13*n**2 - n + 1
Let q(d) = 45*d - 43. Let o(k) = 21*k - 20. Let a(h) = 13*o(h) - 6*q(h). Suppose 3*i - 14 = i. Let m(u) = 5*u - 3. What is i*a(y) - 5*m(y)?
-4*y + 1
Suppose -2*t - 3*a = -14 - 0, 0 = 3*a. Let h(x) = -x - x - t + 5 + 4. Let w(c) = -5*c + 4. Calculate -14*h(y) + 6*w(y).
-2*y - 4
Let d(k) = 5*k**2 - 18*k + 32. Let i be d(13). Let b(s) = -5 - 1292*s**3 - 2*s + i*s**3 + 5*s**2 + 647*s**3. Let h(v) = v**2 + v - 1. What is -b(g) + 5*h(g)?
2*g**3 + 7*g
Let b(z) = -3*z**3 + 7*z**2 - 3*z. Let m(w) = -3*w**3 + 7*w**2 - 2*w. Suppose -5*p = -c + 13, -3*p - 7 = 55*c - 56*c. Determine c*b(q) + 3*m(q).
-3*q**3 + 7*q**2
Let g(v) be the first derivative of v**3/6 - 113*v - 108. Let p(o) be the first derivative of g(o). Let n(s) = -3*s + 1. Calculate -n(t) - 5*p(t).
-2*t - 1
Let d(t) = -1 + 28*t - 26*t - 8 + 4. Let q(v) = -5*v + 3. Let j(n) = -4*n + 4. Let r(f) = -3*j(f) + 2*q(f). Calculate 7*d(y) - 6*r(y).
2*y + 1
Suppose -s + 5*l + 1000 = 1002, -7*l = -4*s - 21. Let x(u) = 4*u**3 - 5*u**2 + 5*u - 85. Let o(d) = 6*d**3 - 7*d**2 + 7*d - 127. Determine s*x(k) + 5*o(k).
2*k**3 - 40
Let m(k) = 11*k. Suppose -x - 35 - 53 = 4*l, 0 = -4*x - 5*l - 297. Let r = x + 118. Let y(o) = 111*o - 56*o - r*o. Determine 2*m(u) - 5*y(u).
-3*u
Let q(n) = -n - 1. Let f(k) = 78263 + 2*k**2 + 4*k - 39127 - 39127. What is f(u) + 4*q(u)?
2*u**2 + 5
Let o(g) = g**3 - 2*g**2 + g. Let z(p) = 10*p**3 - 17*p**2 + 9*p + 4. Calculate -18*o(j) + 2*z(j).
2*j**3 + 2*j**2 + 8
Let k(w) = 2*w**3 + 1493*w - 84. Let t(n) = 14. Determine -k(u) - 6*t(u).
-2*u**3 - 1493*u
Let t(y) = y**3 - 7*y**2 + 9. Let i(c) = c**3 - 6*c**2 + 9. Give 7*i(j) - 6*t(j).
j**3 + 9
Let b(i) = 6*i + 1. Let g = 447 + -388. Let f(p) = -7*p - 17 + 74 - g + p. What is -3*b(q) - 2*f(q)?
-6*q + 1
Let p(f) = 0 - 8 + 27 - 23 + 12*f**2. Let x(d) = d**2. What is p(s) - 4*x(s)?
8*s**2 - 4
Let l(i) = 4. Let u(z) = 2*z**2 - 12*z + 29. Give 7*l(h) - u(h).
-2*h**2 + 12*h - 1
Let w(s) = -40*s**2 + 39*s + 28. Let n(d) = -39*d**2 + 46*d + 33. What is -6*n(v) + 7*w(v)?
-46*v**2 - 3*v - 2
Let i(l) = -12*l**2 + 13*l - 13. Let m = 136 - 133. Suppose -m*x = -17*x - 546. Let j(s) = 2*s**2 - 2*s + 2. What is x*j(o) - 6*i(o)?
-6*o**2
Suppose 0 = 12*k - 9*k - 45 + 36. Let l(w) = -w - 4. Let c(v) = -2*v - 5. Let t = 1 - 5. Calculate k*c(a) + t*l(a).
-2*a + 1
Let c(f) be the third derivative of -1/24*f**4 - 1/3*f**3 + 0*f + 0 - 172*f**2. Let u(j) = 2. Calculate 2*c(m) + 2*u(m).
-2*m
Suppose -2*o - 2*j - 37303 = -37331, -j = 5*o - 10. Let a(y) = y + 6. Let g(x) = x. Let n(m) = 2*m + 1. Let k(b) = -g(b) + n(b). Calculate o*a(s) + 5*k(s).
4*s - 1
Let l(z) = 5*z. Let x(m) = -5 + 5 - 7*m. Let t = 72932 + -72938. Determine t*l(j) - 5*x(j).
5*j
Let r be 15 + -17 + -12 + 9. Let t(s) = -2*s - 16. Let m(g) = -2*g - 17. Determine r*m(i) + 6*t(i).
-2*i - 11
Let a(j) = j + 1. Let p(h) = 14*h + 14. Suppose -w + 2*u - 7 = 0, -4 = -5*w - 3*u - 91. Let m = 3 + w. Suppose -4*o + 10 = 6. What is m*a(v) + o*p(v)?
2*v + 2
Let s(j) = 2*j - 3. Let l(u) = -3*u + 4. Suppose -2811*t + 2806*t = 30. Let n(k) = k**2 - 5*k + 1. Let m be n(2). Determine m*l(p) + t*s(p).
3*p - 2
Let h(z) = 7*z - 261. Let r(i) = 16*i - 527. Determine 9*h(t) - 4*r(t).
-t - 241
Let p(d) = 115*d**2 + 5*d - 1. Let v(b) = -47*b**2 - 2*b + 1. Let t(l) = 2*p(l) + 5*v(l). Let k(i) = 60*i**2 - 35. Calculate 2*k(r) + 25*t(r).
-5*r**2 + 5
Let g(o) = 128*o**3 - 44*o**2 + 10*o + 10. Let n(t) = 91*t**3 - 29*t**2 + 7*t + 7. Determine 5*g(f) - 7*n(f).
3*f**3 - 17*f**2 + f + 1
Let c(f) = 17*f + 243. Let k(j) = 14*j + 244. Determine 4*c(x) - 5*k(x).
-2*x - 248
Let b(v) = 11*v**2 + 6*v - 1961. Let p(s) = 24*s**2 + 13*s - 3923. What is -13*b(w) + 6*p(w)?
w**2 + 1955
Let d(j) = -99*j + 684. Let q(h) = 19*h