**2 - 1
Let a = -3 - -21. Suppose -3*v = -6*v - a. Let h(m) = 4*m**3 + 6*m**2 - 2*m - 2. Let x(u) = u**2 + u**3 + 2*u**3 - 2*u**3. Give v*x(s) + h(s).
-2*s**3 - 2*s - 2
Let l(o) = -4*o**2 + o - 21. Let b(f) = f**2 + 5. Give 9*b(t) + 2*l(t).
t**2 + 2*t + 3
Let s(b) = -6*b - 2. Let z(m) = m. Give s(w) + 5*z(w).
-w - 2
Let i(t) = t - 3. Let j(o) = o - 1. Calculate -3*i(b) + 6*j(b).
3*b + 3
Let x = 4 - -1. Let c(r) = -r. Let v(m) = 9*m**2 - 14*m - 6. Let g(y) = x*c(y) - v(y). Let n(q) = 8*q**2 - 8*q - 5. Let j = 3 + -9. Give j*g(u) - 7*n(u).
-2*u**2 + 2*u - 1
Let d(y) = -3*y**2 - 13*y + 5. Let h(t) = -t**2 - 6*t + 2. Let m = 40 + -44. Give m*d(k) + 9*h(k).
3*k**2 - 2*k - 2
Let l(q) = -4*q. Let v(p) = p. Suppose 3*m - 23 = -68. What is m*v(i) - 5*l(i)?
5*i
Let b(p) = -p**3 + 9*p**2 - 7*p - 2. Let o(g) = g**3 - 5*g**2 + 3*g + 1. Calculate -2*b(z) - 5*o(z).
-3*z**3 + 7*z**2 - z - 1
Let c(a) = 4*a + 2*a - 6 + 3*a**2 + 2*a - 2. Let b(v) = 5 + 1 - 3*v - v**2 - 3. Suppose 2*s = -2*s + g - 8, -5*s = -2*g + 7. What is s*c(z) - 8*b(z)?
-z**2
Let s(r) = -9*r**2 - 15*r + 7. Let w(g) = 5*g**2 + 8*g - 4. Let i = -28 + 22. What is i*s(x) - 11*w(x)?
-x**2 + 2*x + 2
Let h(n) = -n + 59. Let g(m) = m - 60. Give -6*g(a) - 5*h(a).
-a + 65
Let c(o) = o + 1. Let y(s) = 2*s**3 - 6*s - 3. Determine 6*c(b) + y(b).
2*b**3 + 3
Let f(s) = -2*s**3 + 4*s**2 + 23*s + 4. Let j(c) = 5*c**3 - 9*c**2 - 46*c - 9. Calculate 9*f(r) + 4*j(r).
2*r**3 + 23*r
Let p(v) = -3*v + 2. Let z = -24 - -16. Let y = z - -6. Let l(f) = 47 - 94 - f + 48. Give y*p(q) + 4*l(q).
2*q
Let n(w) = 9*w**2 + 11*w - 7. Let i(l) = 5*l**2 + 6*l - 4. Let o(a) = -7*i(a) + 4*n(a). Let g(v) = -v. Calculate -2*g(t) - o(t).
-t**2
Let c(j) = 2*j - 2. Let a(x) = 2*x - 3. Let z = -21 + 24. Determine z*a(y) - 4*c(y).
-2*y - 1
Let j(l) = 2*l + 2. Let m(n) = n**3 - 3*n - 1. Let x be m(-2). Let t(r) = -3*r - 3. Let d(y) = -y**2 - 4*y + 28. Let s be d(4). Determine s*j(h) + x*t(h).
h + 1
Let m = 66 - 61. Let l(x) = -7*x**3 - 5*x - 5. Let q(g) = g**3 + g + 1. Give m*q(b) + l(b).
-2*b**3
Let a(y) = -4*y**3 - 9*y**2 - 5*y - 4. Let f = 8 - 13. Let v(o) = 2*o**3 + 4*o**2 + 2*o + 2. Let m be (-16)/10 - (-3 + 102/30). What is f*v(h) + m*a(h)?
-2*h**3 - 2*h**2 - 2
Let w(b) = b**2 + 36*b + 3. Let j(f) = f**2 + 36*f + 2. What is -6*j(a) + 4*w(a)?
-2*a**2 - 72*a
Let l(u) = -20*u - 10*u - 1 - 13*u + 44*u. Let k(z) = 5*z. What is k(d) - l(d)?
4*d + 1
Let n(l) = -l + 4. Let q(a) = -a + 1. Let z = 21 - 18. What is z*q(i) - n(i)?
-2*i - 1
Let x(p) = -8*p**3 + 3*p**2 - 3. Let v(b) = -7*b**3 + 4*b**2 - 4. What is 3*v(l) - 4*x(l)?
11*l**3
Let j(n) = 11*n**2 - 11*n + 2. Let p(g) = -2*g + 1. Let a be p(-6). Let d(t) = t - 6*t + 5*t**2 - 4 + 5. Determine a*d(s) - 6*j(s).
-s**2 + s + 1
Let r(c) = -c**2 - 8*c - 5. Let t(a) = -a**2 - 9*a - 6. Let f be 4/10 - 8/20. Suppose -3*n + 4*n - 6 = f. Give n*t(w) - 7*r(w).
w**2 + 2*w - 1
Let j(c) = -4*c**3 + 8*c**2 - 8*c + 8. Let i(y) = -y**2 + y - 1. What is -40*i(s) - 5*j(s)?
20*s**3
Let h(j) = -3*j**2 - 2*j + 2. Let y(n) = -7*n**2 - 5*n + 5. Suppose 4*l + 4 = 28. Suppose 11*u - x = l*u - 27, 3*u - 5*x = -25. What is u*h(w) + 2*y(w)?
w**2
Let a(r) = -2*r**2 - 7*r + 5. Let z(c) = 2*c**2 + 8*c - 6. Let v be ((-2)/3 + -1)*6. Let d be ((-5)/v)/((-2)/20). Let x = 5 + -11. Calculate d*z(p) + x*a(p).
2*p**2 + 2*p
Let m(z) = z - 1. Let i(q) = -26*q**2 - 6*q + 4. Calculate -2*i(u) - 10*m(u).
52*u**2 + 2*u + 2
Let k = 63 + -64. Let a(v) be the second derivative of 0*v**2 + 2*v + 1/6*v**3 - 1/12*v**4 + 0. Let b(o) = -o**2 + 2*o - 2. Calculate k*b(c) + 2*a(c).
-c**2 + 2
Let d(p) = 2*p**2 + 3*p + 3. Let v(f) = -3*f**2 - 4*f - 4. Let r be 11/(-4) + 1/(-4). Let z = 107 - 111. Calculate r*v(a) + z*d(a).
a**2
Let i(n) = -n**2 + n - 1. Let v(o) = 4*o**2 - o. Calculate -2*i(a) - 2*v(a).
-6*a**2 + 2
Let m(f) = -8*f**3 + 6*f**2 - 2*f. Let b be 12/(-4) - 3/1. Let d(u) = 17*u**3 - 13*u**2 + 4*u. Give b*d(r) - 13*m(r).
2*r**3 + 2*r
Let d(n) = -5*n**2 + 5*n - 1. Let x(q) = q**2 - q. Suppose 0*i - i = 1. Give i*d(g) - 6*x(g).
-g**2 + g + 1
Let d(c) = c**3 + c**2 - 1. Let g = 8 + -6. Suppose -l - 2 = -g*l. Let b(u) = -7*u**3 - 6*u**l + 7 - 5*u + 5*u. What is b(h) + 6*d(h)?
-h**3 + 1
Let m(o) = 5*o + 4. Let j(n) = 55*n + 45. What is 4*j(v) - 45*m(v)?
-5*v
Let f(y) = -3*y. Let i be (4/(-5))/(24/(-60)). Let a(s) = -12*s. Calculate i*a(p) - 9*f(p).
3*p
Let t(u) = u - 1. Let y(c) = 16*c - 19. Let n(d) = -24*d + 28. Let b(j) = 5*n(j) + 7*y(j). Let g be (-16)/3 + 4/12. Calculate g*t(z) - b(z).
3*z - 2
Let g(r) = -36*r**3 - 20*r**2 - 20*r - 20. Let z(x) = -5*x**3 - 3*x**2 - 3*x - 3. Determine -3*g(m) + 20*z(m).
8*m**3
Let k(g) be the second derivative of g**4/6 + 5*g**3/6 + 7*g**2/2 + 21*g. Let i(o) = -2*o**2 - 4*o - 6. Determine -5*i(l) - 4*k(l).
2*l**2 + 2
Suppose 3*l = o - 2, 3*l = -5*o + 5 - 13. Let t(r) = -2*r**3. Let j(i) = -i**3. What is o*t(c) + j(c)?
c**3
Let x(q) = -2*q**2 + 5*q - 2. Let b(i) = i**2 + 1. Let t(l) = 9*l**2 - 9*l + 9. Let s(u) = 6*b(u) - t(u). Calculate 3*s(j) - 5*x(j).
j**2 + 2*j + 1
Let t(h) = 16*h**2 - 11*h. Suppose 41*w + 22 = 43*w. Let l = 7 + -4. Let j(v) = 3*v - v + 0*v**2 - l*v**2. Give w*j(f) + 2*t(f).
-f**2
Let r(k) = k + 1. Let d(n) = 23*n**2 - 11*n - 11. What is 2*d(v) + 22*r(v)?
46*v**2
Let l(b) = b + 3. Let z(j) = -2*j - 15. Let d be z(-12). Let n(r) = -5*r - 13. Calculate d*l(q) + 2*n(q).
-q + 1
Let g(y) = -4*y + 3. Suppose 13 = -4*v + z, 3*z - 9 = -v - 2*v. Let n(o) = -3*o + 3. Calculate v*g(x) + 3*n(x).
-x + 3
Let n(z) = 3*z**3 + z + 7. Let m(p) = -6*p**3 - p**2 - p - 15. Give -2*m(r) - 5*n(r).
-3*r**3 + 2*r**2 - 3*r - 5
Let r(m) = -2*m**2 + 5*m + 2. Let q(s) = 2*s**2 - 4*s - 3. Calculate -5*q(z) - 4*r(z).
-2*z**2 + 7
Suppose 0*c + 5 = c. Let v(y) = -3*y**2 - 3*y + 6. Let q(l) = -3*l**2 - 2*l + 5. Calculate c*q(h) - 4*v(h).
-3*h**2 + 2*h + 1
Let v(x) = 8*x**3 - 11*x**2 - 11*x + 11. Let o(a) = -4*a**2 + a - 8 - 5*a + 3*a**3 + 0*a**2 + 12. What is -11*o(l) + 4*v(l)?
-l**3
Let k(o) = 3*o + 2. Let v(d) = -5*d**3 + d. Let g be v(-1). Let f(i) = -i - 1. Give g*f(c) + 2*k(c).
2*c
Let s(v) = -v**2 - 3*v. Let z(p) = 4*p**2 + 14*p. Calculate 14*s(q) + 3*z(q).
-2*q**2
Let z(m) = 2*m + 4. Let q(v) = 1. Determine -10*q(k) + z(k).
2*k - 6
Suppose 0 = 12*k - 7*k + 35. Let m be 10/4*(4 - 2). Let o(j) = 3*j - 5. Let h(q) = 4*q - 7. Give k*o(l) + m*h(l).
-l
Suppose 2*c - 4 = -2*c. Let p(i) = i**3 + i + 1. Let o(h) = -7*h**3 - 6*h - 4. What is c*o(k) + 6*p(k)?
-k**3 + 2
Let x(f) = 2*f**2 + 5*f. Let q = 2 - 2. Let o(y) = 4*y + q*y**2 + y**2 + 0*y. Suppose 4*m = -2*m + 18. Give m*x(t) - 4*o(t).
2*t**2 - t
Let z(m) = -7*m + 5. Let r(v) = 3*v - 3. What is 9*r(y) + 4*z(y)?
-y - 7
Let g(h) = -33*h**3 - 6*h**2 - h - 2. Let i(q) = 100*q**3 + 17*q**2 + 3*q + 6. What is -17*g(c) - 6*i(c)?
-39*c**3 - c - 2
Let m(r) = -7*r**3 + 2*r**2 + 7*r. Let u be (3 + -18)*(-5)/3. Let l = u - 28. Let o(i) = 4*i**3 - 4*i + 3*i**2 + 0*i**2 - 4*i**2. Determine l*m(k) - 5*o(k).
k**3 - k**2 - k
Let c(u) = -32*u**3 + 12. Let i(q) = -q**3 + 1. Determine c(g) - 12*i(g).
-20*g**3
Let q(n) = -6*n + 16. Let f(z) = -6*z + 16. Let i(b) = 3*f(b) - 4*q(b). Let t(x) = x - 3. What is 2*i(c) - 11*t(c)?
c + 1
Let p(d) = -82*d**3 + 26*d**2 + 26*d + 26. Let c(s) = 9*s**3 - 3*s**2 - 3*s - 3. What is -52*c(y) - 6*p(y)?
24*y**3
Let p(t) = -7*t**3 - 4*t**2 - 2*t - 3. Let i(q) = q**3 + q**2 + 1. Calculate 3*i(w) + p(w).
-4*w**3 - w**2 - 2*w
Let u(o) = -o + 1. Let m(r) = 6*r - 8 - 13*r + 2*r + 2*r**2 + 10*r. What is -m(v) - 6*u(v)?
-2*v**2 + v + 2
Let a(o) = 8*o. Suppose -8 = 2*s + 4. Let w(f) = 3*f. Let m(j) = s*a(j) + 17*w(j). Let k(u) = 3*u - 2*u - 2*u. What is -4*k(n) - 2*m(n)?
-2*n
Let p(i) = -i**2 - i + 1. Let o be 6/9 - 4/6. Suppose -10 = 3*x - 0*x - 4*f, o = 3*x - 5*f + 11. Let s be 6/12 + 3/x. Let m(w) = w**2. Determine s*m(n) + p(n).
-2*n**2 - n + 1
Let q = 23 + -40. Let z(w) = 5*w**3 + 6*w**2 + 6. Let m(t) = 14*t**3 + 17*t**2 + 17. Let l(s) = s - 1. Let r be l(7). Determine q*z(b) + r*m(b).
-b**3
Let a(x) = x**2. Let z = -30 - -28. Let k(l) = 6*l**2 + 1. Determine z*k(h) + 14*a(h).
2*h**2 - 2
Let k(h) = -3*h**2 - h + 3. Let q(z) = -5*z**2 - z + 6. Let t(u) = -7*k(u) + 4*q(u). Let j(s) = 2*s**2 + 4*s + 3. What is -3*j(l) + 4*t(l)?
-2*l**2 + 3
Let h(q) = 2*q