 Calculate -4*i(c) - 5*o(c).
c + 36
Let j(d) = d - 2. Let k(v) = -2*v - 4 + 2 + 5. Let i(l) = 35*l - 7 - 7*l + 12*l + 14*l - 43. Let y be i(1). What is y*j(x) + 3*k(x)?
-2*x + 1
Let h(l) be the second derivative of -l**4/12 - l**3/3 + 4752*l. Let i(o) = -5*o**2 - 9*o. Suppose -3*w - 4*f - 22 = 0, -f + 4 = 8. Give w*i(t) + 9*h(t).
t**2
Let n(g) be the third derivative of -g**5/30 - g**4/12 + g**3/6 + 7093*g**2. Let d(y) = -5*y**2 - 4*y + 2. Calculate -3*d(k) + 5*n(k).
5*k**2 + 2*k - 1
Let j(f) be the first derivative of -f**4/12 + f**3/6 + 65*f - 16. Let v(t) be the first derivative of j(t). Let p(s) = -4*s**2 + 2*s. Give -p(c) + 2*v(c).
2*c**2
Let i(k) = 6*k + 3. Let f = 10 + 20. Suppose -3*c + f = o, 66 = -0*o + 2*o + 3*c. Let z be 31/7 - o/84. Let w(p) = -7*p - 4. Calculate z*w(l) + 5*i(l).
2*l - 1
Let r(u) = -7*u - 1. Let c(o) = -o**2 + 9*o + 22. Let s be c(11). Suppose s = 4*m + 154 - 146. Let p(b) = -15*b - 2. Calculate m*p(g) + 5*r(g).
-5*g - 1
Let o(m) = -11818*m**3 + 39808*m + 1244. Let d(c) = c**3 - 32*c - 1. Determine 1244*d(z) + o(z).
-10574*z**3
Let n(w) = -w**3 - 2*w**2 + 2*w - 1. Let v(s) = 1760*s**3 + 8*s**2 - 8*s + 4. Give 4*n(q) + v(q).
1756*q**3
Let q(l) = 2*l + 9. Let v(t) be the first derivative of 3*t**2/2 + 18*t + 714. Give -7*q(z) + 4*v(z).
-2*z + 9
Suppose 12 - 6 + 12 = -6*u. Let r(v) = 4*v**2 - 2*v + 5. Let n(t) = -3*t**2 + 2*t - 4. Calculate u*n(y) - 2*r(y).
y**2 - 2*y + 2
Let f(g) = 5*g**2 - 5*g - 3. Let o(l) = 6*l**2 - 6*l - 4. Let d = 3997 + -3992. What is d*f(c) - 4*o(c)?
c**2 - c + 1
Let g(v) = 9*v**2 - 127*v - 10. Let f(q) = -14*q**2 + 190*q + 16. Give -5*f(z) - 8*g(z).
-2*z**2 + 66*z
Let q(i) = -12*i**2 + 7*i - 9. Let b(y) = 34*y**2 - 20*y + 26. Let x(v) = -4*b(v) - 11*q(v). Let t(l) = l**2 - l. What is -5*t(g) - x(g)?
-g**2 + 2*g + 5
Let c be (-8)/14 - (-15312)/336. Let l(x) = c*x**2 + 1846 + 36*x + 3*x - 4*x - 1811. Let y(p) = 5*p**2 + 4*p + 4. Calculate -4*l(q) + 35*y(q).
-5*q**2
Suppose -680*d + 1527 - 1473 - 4134 = 0. Let v(y) = -2*y**3 + 3*y**2 + 4*y - 6. Let f(p) = p**3 - p**2 - p + 1. What is d*f(h) - v(h)?
-4*h**3 + 3*h**2 + 2*h
Let q(m) = -4*m**3 + 2*m**2 + 2*m - 2. Let p(t) = 5*t**3 - 2*t**2 - 2*t + 3. Let n be -2 + 3 + -21*(-1)/21. What is n*p(h) + 3*q(h)?
-2*h**3 + 2*h**2 + 2*h
Let a(v) = -26*v**3 - 6*v**2 - 1. Let p(g) = -51*g**3 - 11*g**2 - 2. Let k = 3103 + -3096. Calculate k*a(c) - 4*p(c).
22*c**3 + 2*c**2 + 1
Let g(n) = 9*n**2 + 6*n - 5. Let a(o) = 2*o + 8 + 2*o - 14 + 0*o**2 + 10*o**2 + 3*o. Calculate 5*a(i) - 6*g(i).
-4*i**2 - i
Let q(d) be the second derivative of d**5/5 - 5*d**4/12 + 5*d**3/6 - 5*d. Let p(o) = 2*o**3 + 346*o - 664*o + 322*o - 4*o**2 + o**3. Calculate 3*p(b) - 2*q(b).
b**3 - 2*b**2 + 2*b
Let k(p) = 112*p + 40. Let x(g) = -36*g - 11. Give -5*k(z) - 16*x(z).
16*z - 24
Let y(w) = 23*w**2 + 3*w + 2. Let q(o) = 22*o**2 + 4*o + 3. Let z = 606 + -603. Determine z*q(m) - 4*y(m).
-26*m**2 + 1
Let h(f) = -34*f + 560. Let p(j) = -22*j + 399. Let b(o) = 5*h(o) - 7*p(o). Let n(q) = -17*q + 6. Give 4*b(y) - 5*n(y).
21*y - 2
Let a(n) = 31*n**3 + 4*n**2 - 12*n - 7. Let d(y) = 226*y**3 + 30*y**2 - 85*y - 50. Calculate -29*a(k) + 4*d(k).
5*k**3 + 4*k**2 + 8*k + 3
Let v(d) = 13*d**3 + 5*d + 5. Let z(r) = 35*r - 145. Let w be z(4). Let c(u) = 14*u**3 + 4*u + 4. Calculate w*c(m) + 4*v(m).
-18*m**3
Suppose 15222 - 2110 = 22*b. Let c = -601 + b. Let g(r) = -8*r**2 - 5*r - 5. Let z(s) = 8*s**2 + 6*s + 6. What is c*z(k) - 6*g(k)?
8*k**2
Let y(j) be the third derivative of j**4/8 - 14*j**2 - 2*j + 29. Let p(u) = 3*u + 5. Let d(i) = 4*i + 6. Let g(v) = 5*d(v) - 6*p(v). Calculate -7*g(a) + 5*y(a).
a
Let z(r) = 42*r + 15. Let q(w) = 77*w + 29. Give 3*q(s) - 5*z(s).
21*s + 12
Let m(p) = -60*p - 35. Let a(w) = -5*w - 3. Let f = -4857 + 4854. Calculate f*m(i) + 35*a(i).
5*i
Let p(i) = -5*i**2 - 2*i + 9. Let n(c) = -8*c**2 - c + 57. Let g(k) = 9*k**2 + k - 69. Let q(m) = -4*g(m) - 5*n(m). What is 3*p(s) + 4*q(s)?
s**2 - 2*s - 9
Let k(l) = l**3 + l**2 - 2*l - 12. Let b(n) = -3*n**3 - 2*n**2 + 5*n + 23. Let t be ((-4)/(84/(-45)))/((-708)/(-1652)). Determine t*k(j) + 2*b(j).
-j**3 + j**2 - 14
Let k(h) = 5*h + 2. Let w(n) = 10*n + 8. Let m = -25 + 42. Let p(d) = 17 + 22*d + 14*d - m*d. Let r(g) = 6*p(g) - 14*w(g). Calculate 16*k(l) + 3*r(l).
2*l + 2
Suppose 0 = -202*h + 203*h - 6. Suppose -2*n - n = h. Let k(p) = -2*p**2 + 12*p - 5. Let a(r) = r**2 - 6*r + 2. What is n*k(v) - 5*a(v)?
-v**2 + 6*v
Let g(r) = -8*r**2 - 108*r - 87. Let s(d) = -5*d**2 - 65*d - 44. Give 3*g(l) - 5*s(l).
l**2 + l - 41
Let f(x) be the first derivative of 71 + 1/2*x**2 + 0*x - 1/3*x**3. Let o(y) = -3*y**2 + 5*y + 1. Calculate -5*f(b) + o(b).
2*b**2 + 1
Let b(y) = y**2 - 52*y + 5. Let a(z) = -z**2 + 54*z - 6. Determine 5*a(v) + 6*b(v).
v**2 - 42*v
Let g(o) = -51*o**2 - 7*o + 4. Let i(x) be the second derivative of -25*x**4/12 - x**3/2 + x**2 - 5522*x. What is -3*g(w) + 7*i(w)?
-22*w**2 + 2
Suppose -37*a + 55*a - 93 = -21. Let k = -3 - -12. Let q(o) = -o**3 + 6*o**2 + 4. Let x(z) = 2*z**3 - 13*z**2 - 9. Give a*x(m) + k*q(m).
-m**3 + 2*m**2
Let n(w) = -11*w + 5. Let r(z) = 106*z - 43. Calculate -57*n(i) - 6*r(i).
-9*i - 27
Let y(n) = -210*n**2 + 12*n + 19. Let w(q) = -105*q**2 + 6*q + 8. Calculate 5*w(z) - 2*y(z).
-105*z**2 + 6*z + 2
Let o(x) = -1. Let t(l) = l - 5. Let m(p) = -2*p - 23. Let b(c) = -m(c) + 5*t(c). Give -b(d) + 4*o(d).
-7*d - 2
Let t(h) = 2*h**2 - 6*h - 3. Let i(q) = 2*q**2 - 5*q - 2. Let f(c) = 5*i(c) - 4*t(c). Let a(x) = x**2 - x + 1. Determine 4*a(w) - 3*f(w).
-2*w**2 - w - 2
Let o(p) = 2*p - 1. Let u(q) = -14*q - 4. Suppose 5*a = k - 11, -8*a + 4*a = 4*k - 44. Let c(m) = -39*m - 11. Let h(f) = k*u(f) - 4*c(f). Give -4*h(x) + 5*o(x).
2*x - 5
Let z(w) = -88*w + 114. Let o(a) = -43*a + 58. Determine -7*o(b) + 4*z(b).
-51*b + 50
Let d(x) = 2*x + 30. Let w(n) = 22955*n + 550920. Determine 18364*d(h) - w(h).
13773*h
Let j(y) = 3*y**3 - 16*y**2 + 4*y + 28. Let m(k) = 5*k**3 - 28*k**2 + 6*k + 56. Give -7*j(g) + 4*m(g).
-g**3 - 4*g + 28
Let y(p) = 3*p**3 - 9*p**2 + 9. Let z be 28/(-14) - -12*1. Suppose -4 = -f, -13*f + 102 = 5*v - z*f. Let n(h) = h**3 - h**2 + 1. Determine v*n(w) - 2*y(w).
12*w**3
Let h(k) = k + 1. Let n(u) = -u - 1. Let w be (-3 + 1 + 10)*(-40)/(-64). Give w*n(l) + 6*h(l).
l + 1
Let k(d) = -5*d + 64. Let m(h) = 10*h - 62. Give 3*k(u) + 2*m(u).
5*u + 68
Let i(f) = 18*f**2 + 1410*f - 14. Let u(o) = -8*o**2 - 704*o + 6. Give 3*i(w) + 7*u(w).
-2*w**2 - 698*w
Let z(f) = f**3 - 4*f**2 - 4*f - 3. Let r(m) = -2*m**3 + 3 + 2*m**2 + 52*m - 85*m + 38*m + 2*m**2. Give -3*r(q) - 4*z(q).
2*q**3 + 4*q**2 + q + 3
Let l(i) = 568*i**2 + 4*i - 8. Let a(k) = -463488*k**2 - 3266*k + 6532. Determine 6*a(b) + 4899*l(b).
1704*b**2
Let u(s) = 15*s. Let i(q) = -30*q - 1. Let f be 6 + 2301/(-195) - (-8)/10. Determine f*u(g) - 3*i(g).
15*g + 3
Let i(s) = 4*s**2 + s - 7. Let l(r) = 8*r**2 + 2*r - 13. Let z(n) = -8*n**2 + 9*n + 6. Let b be z(-1). Determine b*i(d) + 6*l(d).
4*d**2 + d - 1
Let y(l) = -17*l**2 + 21*l + 19. Let m(j) = -37*j**2 + 40*j + 41. Determine 6*m(x) - 13*y(x).
-x**2 - 33*x - 1
Let k(b) = 1601*b + 12. Let a(u) = -704431*u - 5278. Determine 6*a(s) + 2639*k(s).
-1547*s
Let m(l) = -2 - 4*l**2 + 8291*l + 3*l**2 - 8294*l + 2. Let r(s) = s**2 + s. Suppose 5*o = 5*d + 70, -2*d - 8 = -2. Let a = o + -8. What is a*r(f) + m(f)?
2*f**2
Let x(i) = 6*i - 2 - i + 7 - 1. Let c(d) = 8*d + 1 + 2 - d - 3*d. Suppose 4*p - s - 32 = 4*s, 2*p = 4*s + 22. What is p*c(l) - 2*x(l)?
2*l + 1
Let h(i) = -23177 + 7*i**3 + 11579 + 3*i**2 + 2*i + 11601. Let c(q) = q**3 + q**2 + q + 1. What is 3*c(l) - h(l)?
-4*l**3 + l
Let t(m) = -7*m - 4. Let x(l) = l + 1. Let v = 3078 + -3073. What is v*x(q) + t(q)?
-2*q + 1
Suppose 28*i - 33 = -5*i. Let q(m) = 0 - 3*m + i + 3 - 6. Let r(p) = p + 1. Calculate -q(y) - 6*r(y).
-3*y - 4
Let m(o) = 17*o**3 - 33*o - 13. Let f(y) = 8*y**3 - 16*y - 6. Let w(c) = -7*c**2 - 182*c + 13. Let j be w(-26). Give j*f(i) - 6*m(i).
2*i**3 - 10*i
Let d(g) = g**3 + g**2 + g - 6. Let n(l) = -3*l**3 + 10*l**2 - 4*l + 21. What is -4*d(a) - n(a)?
-a**3 - 14*a**2 + 3
Let f(w) = 13*w**3 + w**2 - 39*w + 4. Let r(n) = -24*n**3 - 2*n**2 + 78*n - 7. Give -11*f(b) - 6*r(b).
b**3 + b**2 - 39*b - 2
Let d(h) = h**2 - 2*h + 2. Let y(t) = -t**2 