Determine 6*r(y) - s(y).
12084*y**2 - 2*y
Let c(l) = 3054*l**2 - 5*l - 71. Let y(u) = 6108*u**2 - 11*u - 165. What is -7*c(g) + 3*y(g)?
-3054*g**2 + 2*g + 2
Let r(u) = 8*u**2 - 5*u - 14. Suppose 2*p = 6 - 0. Let f(d) be the first derivative of -p*d**3 - d + 0*d + d**2 + 2*d**3 - 20 + 6*d. Determine 11*f(n) + 4*r(n).
-n**2 + 2*n - 1
Suppose 1104 = -33*p - 105*p. Let m(c) = c - 1 - 4 + 3 - 7. Let u(l) = -l + 14. What is p*m(z) - 5*u(z)?
-3*z + 2
Let r(s) = -148*s + 1464. Let z(t) = -207*t + 2197. Give -7*r(v) + 5*z(v).
v + 737
Let y be (-2)/(-3) + (-3)/(9/17). Let w(k) = -8*k**2 + 3*k - 2. Let n(j) = -9*j**2 + 4*j - 2. Calculate y*n(r) + 6*w(r).
-3*r**2 - 2*r - 2
Let x(u) = 88*u**3 - 66*u**2 + 14*u + 2. Let j(a) = 45*a**3 - 34*a**2 + 8*a + 1. What is -7*j(c) + 4*x(c)?
37*c**3 - 26*c**2 + 1
Let i(p) be the first derivative of -5*p**2/2 - 3*p - 2807. Let n(q) = -4*q - 3. Calculate 5*i(d) - 6*n(d).
-d + 3
Suppose 3*y = 4*h - 9, y = 5*h - 4*y - 10. Let w(q) be the second derivative of 3*q**3/2 + 3*q**2/2 + 28*q + 726. Let f(k) = -4*k - 2. Give h*w(u) + 7*f(u).
-u - 5
Let i = 50 - 41. Let f(y) = -4*y**2 + 5*y. Let d(l) = 8*l**2 - 11*l. Let t(s) = i*f(s) + 4*d(s). Let u(h) = 9*h**2 - 9 - 3*h + 9. What is 5*t(b) + 2*u(b)?
-2*b**2 - b
Let d(p) = 7*p**3 - 3*p**2 - 4*p - 6. Let n(y) = 9255*y**3 - 5 - 3*y**2 + 2*y - 9249*y**3 + 2*y - 8*y. What is -5*d(r) + 6*n(r)?
r**3 - 3*r**2 - 4*r
Suppose -5 = -3*o - t, -9 = o - 0*o - 5*t. Suppose 0 = 556*a - 534*a + 110. Let u(c) = c**2. Let x(y) = -y**2. What is a*u(s) + o*x(s)?
-6*s**2
Let k(y) = -y**2 + 34*y + 491. Let c be k(-11). Let m(s) = -20*s**2 - s + 5. Let p(g) = -40*g**2 - 2*g + 9. Calculate c*p(u) + 7*m(u).
20*u**2 + u - 1
Let a be (4*(-1)/(-3))/(4/9). Let v be -1*4*8/16. Let g be v - (4 - (3 + -1)). Let y(d) = -7*d - 1. Let z(n) = -8*n - 2. Determine a*z(c) + g*y(c).
4*c - 2
Let z(g) = g**2 - 1699*g + 28. Let a(c) = 1700*c - 19. Give -3*a(p) - 2*z(p).
-2*p**2 - 1702*p + 1
Let h(s) = 317 + 2*s - 626 + 0*s + 328. Let f(j) = -6*j - 58. Give -2*f(w) - 7*h(w).
-2*w - 17
Let y = -1 - -2. Let s(n) = -n**3 + 5*n**2 - 5*n + 8. Let p(b) = -5*b**2 + 3*b - 4*b + 18*b**2 + 7*b**2 + 5*b**2 - 24*b**2. Give y*s(u) - 5*p(u).
-u**3 + 8
Let o(p) = 6*p**2 + p + 954. Let j(f) = 4*f**2 + 5*f - 1. Give -j(d) + o(d).
2*d**2 - 4*d + 955
Let a(o) = -2272*o - 3. Let c(s) = -13*s - 1. What is -a(w) + 6*c(w)?
2194*w - 3
Let k(j) = 3745*j**2 - 10. Let d(h) = -4*h**2 - 2. Give -6*d(v) + k(v).
3769*v**2 + 2
Let z(x) = 9*x - 2. Let g(f) = 500*f - 110. Calculate g(s) - 65*z(s).
-85*s + 20
Let d be (4/(-15) + (-4)/30)*5. Let h(x) = -29*x**2 + 2*x + 2. Let r(s) = -1247*s**2 + 87*s + 87. What is d*r(z) + 87*h(z)?
-29*z**2
Let q(i) be the first derivative of i**4/4 - i**3/3 - i**2/2 - i - 6833. Let h(x) = 7*x**3 + 4*x**2 + 2*x + 4. Determine h(b) + 4*q(b).
11*b**3 - 2*b
Let m(l) = 850*l**3 - 75*l**2 + 75*l + 75. Let w(s) = -s**2 - 12*s + 15. Let i be w(1). Let j(z) = 23*z**3 - 2*z**2 + 2*z + 2. Determine i*m(q) - 75*j(q).
-25*q**3
Let u(t) be the third derivative of 5*t**4/6 - 11*t**3/3 - 58*t**2. Let p(z) = -419*z - 419*z + 839*z - 1. Calculate -44*p(b) + 2*u(b).
-4*b
Let m = -4794 + 4787. Let l(v) = v**2 + 10*v + 7. Let n(t) = 5*t + 3. What is m*n(k) + 3*l(k)?
3*k**2 - 5*k
Let v(r) = -6*r**3 - 127*r**2 - 7*r. Let j(i) = i**3 + 2*i. What is 5*j(y) + v(y)?
-y**3 - 127*y**2 + 3*y
Let x(n) = 8*n**3 + 4*n**2 + 6*n - 13. Let r(f) = 17*f**3 + 9*f**2 + 14*f - 27. Calculate 2*r(v) - 5*x(v).
-6*v**3 - 2*v**2 - 2*v + 11
Suppose -5*u + 40 = -3*q, 30 = -4*q + 3*q + 5*u. Let l(j) = -86*j + 40 - 20 + 90*j - 23. Let f(v) = v**2 - 9*v + 6. What is q*l(w) - 2*f(w)?
-2*w**2 - 2*w + 3
Let q = -989 - -991. Suppose 0 = -k - 3*i + 2, -2*k - 3*i + 1 = -6. Let b(v) = -3*v**2 - v + 2. Let c(o) = 7*o**2 + 2*o - 5. Calculate k*b(s) + q*c(s).
-s**2 - s
Let a(n) = -7*n + 3. Let z(f) = -28*f - 5. Let h(x) = -24*x - 4. Let v(t) = 6*h(t) - 5*z(t). Let w = -1064 - -1059. Give w*v(b) + 3*a(b).
-b + 4
Let q(i) = -66*i**2 + 9*i. Let a(t) = 33*t**2 - 5*t. Let n be (-6 - (-10 + 31))*(-3)/(-9). What is n*a(o) - 5*q(o)?
33*o**2
Let i(a) = -a + 1. Let d(z) = -1. Let b(g) = g**2 - 10*g - 2. Suppose 9*n = 4*n. Let y be b(n). Give y*i(p) - 2*d(p).
2*p
Let k(p) = 33*p + 110. Let r(b) = 17*b + 51. Calculate -3*k(z) + 7*r(z).
20*z + 27
Let o = 1799 - 1794. Let w(y) = 3*y + 5. Let l(p) = -5*p - 7. Calculate o*l(d) + 8*w(d).
-d + 5
Suppose -3*q + 7 = 22, 0 = -2*o + 2*q - 28. Let c(g) = 95*g**3 + 19*g**2 - 19*g. Let k(y) = 19*y**3 + 4*y**2 - 4*y. Calculate o*k(r) + 4*c(r).
19*r**3
Let r(b) = 21*b + 14. Let v(x) = 4*x + 3. Let l = -11105 - -11119. Give l*v(q) - 3*r(q).
-7*q
Suppose 3851*p - 52 = 3838*p. Let a(s) = -13*s**2 - 32. Let g(f) = -6*f**2 - 16. Calculate p*a(i) - 9*g(i).
2*i**2 + 16
Let l(w) = 0*w**2 + 0*w**2 + 2*w**2 - 3*w**2. Let r = 12 - -21. Let m = r - 30. Let f(a) = -a**2. Calculate m*l(x) - 4*f(x).
x**2
Let h(o) = 3122*o**3 + 4*o**2 + 4*o + 12. Let u(t) = 2032421*t**3 + 2605*t**2 + 2605*t + 7815. Give 2605*h(x) - 4*u(x).
3126*x**3
Let z(l) be the first derivative of 2*l**3/3 + 2*l**2 - l - 5313. Let q(o) = 5*o**2 + 7*o - 2. Determine -3*q(c) + 5*z(c).
-5*c**2 - c + 1
Let c(t) = 6*t**3 + 4*t**2 + 4*t - 4. Let r(z) = -z**2 - 9*z - 3. Let m(p) = 2*p**2 + 16*p + 5. Let i(a) = -4*m(a) - 7*r(a). Give -3*c(n) - 12*i(n).
-18*n**3
Let k(w) = -w - 3. Let x(u) = 1378*u + 429. What is 858*k(b) + 6*x(b)?
7410*b
Let f(o) = -6*o**2 - 13*o + 2. Let y(l) = 3*l**2 + 6*l - 1. Suppose 362*b + 60 = 352*b. Give b*f(a) - 13*y(a).
-3*a**2 + 1
Let r(k) be the second derivative of 1/12*k**4 - 1/6*k**3 - 103*k + 0 + 3/2*k**2. Let h(b) = -2*b**2 + 2*b - 4. What is -3*h(z) - 4*r(z)?
2*z**2 - 2*z
Let t(g) = -15*g**2 - 68*g + 21. Let y(m) = 10*m**2 + 46*m - 14. What is -5*t(z) - 7*y(z)?
5*z**2 + 18*z - 7
Let r(v) = -2*v**2 + 9*v - 79. Let z(f) = -3*f**2 + 3*f - 1. Give -r(l) + z(l).
-l**2 - 6*l + 78
Let r(b) = -20 - 7 + 0*b**3 - 14 + 2*b**3 + 38 - 2*b**2. Suppose -11*i = -15*i + 12. Let q(p) = -p**2 - 1. Give i*q(f) - r(f).
-2*f**3 - f**2
Let l(r) = -r**2 - 4*r + 5. Let m = 74297 + -74301. Let g = 5 - 10. Let d(h) = h**2 + 5*h - 6. Calculate g*l(a) + m*d(a).
a**2 - 1
Suppose 6*k - 118 = -2*f + 10*k, 3*f = -2*k + 153. Let b(c) = -113 + 5*c + f + 57. Let s(u) = -1. What is b(z) - 2*s(z)?
5*z - 1
Let b be (1 + 9)*4/5. Let k(a) = -4*a - 51. Let m(x) = 6*x + 77. Give b*k(z) + 5*m(z).
-2*z - 23
Let d(i) = -286*i**3 - 66*i**2 + 66*i - 66. Let l(s) be the first derivative of -11*s**4/2 - 5*s**3/3 + 5*s**2/2 - 5*s - 1432. Calculate -5*d(q) + 66*l(q).
-22*q**3
Let h(i) = 21*i**3 + 3*i**2 + 4*i. Let m = 6026 - 6022. Let l(z) = -42*z**3 - 7*z**2 - 9*z. Calculate m*l(w) + 9*h(w).
21*w**3 - w**2
Suppose 3*a = 5*l + 3 - 56, -2*l - 4 = 3*a. Let b(k) = -14*k**3 - 3*k**2. Let w(n) = -364*n**3 - 77*n**2. Give a*w(v) + 154*b(v).
28*v**3
Let t(d) = -d - 1. Let z be 2/((-6)/(-9))*3. Suppose 2*j - 3 = -2*p - 1, -3*p + 2*j = -8. Let w(s) = -5*s + 0 + 10*s + 3 + p. What is z*t(a) + 2*w(a)?
a + 1
Let s(v) = -11617*v**2 + 3*v + 3. Let z(i) = 11620*i**2 - 2*i - 2. Give -2*s(o) - 3*z(o).
-11626*o**2
Let d(b) = -9*b**3 + 11*b**2 + 227*b + 4. Let n(s) = 14*s**3 - 14*s**2 - 228*s - 6. What is 3*d(y) + 2*n(y)?
y**3 + 5*y**2 + 225*y
Let l(m) = -35*m**3 - 17*m**2 - 2*m - 5. Let p(u) = -24*u**3 - 15*u**2 - 6. Determine -2*l(q) + 3*p(q).
-2*q**3 - 11*q**2 + 4*q - 8
Let b(q) = -4*q - 1. Let g(k) = 2*k + k + 2 + 4*k. Suppose -4*p = 3*h - 11, h - 6*h + p - 20 = 0. Let t be (24/75)/4 - (-5969)/(-1175). Give h*g(i) + t*b(i).
-i - 1
Let k(d) = 45*d**2 - 4*d - 9. Let z(h) = -182*h**2 + 18*h + 37. What is -9*k(a) - 2*z(a)?
-41*a**2 + 7
Let r(w) = -w**2 + w + 1. Let k(u) = -8*u**2 + 3*u + 8. Let y = -10294 + 10280. Calculate y*r(n) + 2*k(n).
-2*n**2 - 8*n + 2
Let y(x) = -2*x**2 + 2*x + 1. Let w(l) = 33*l**2 + 22*l - 2. What is w(k) + 3*y(k)?
27*k**2 + 28*k + 1
Let z(b) = 19*b + 16674. Let v(r) = 6*r + 5556. What is 13*v(j) - 4*z(j)?
2*j + 5532
Let w(l) = -3*l**3 + 2*l**2. Let n(a) = -5*a**3 + 3*a**2 - 980*a. Calculate 2*n(x) - 4*w(x).
2*x**3 - 2*x**2 - 1960*x
Let t(r) = -12*r**3 + 12*r**2 - 12*r - 12. Let j(u) be the third derivative of u**5/60 - u**4/24 - u**3/6 - 891*u**2. Determine -12*j(l) + t(l).
-12*l**3
Let b(z) = -4*z + 4. Let g(m) = 3*m 