f. Calculate the remainder when f is divided by 2.
1
Let z(p) = -1. Let i(h) = -20*h**2 - 2*h + 7. Let n(d) = -i(d) - 6*z(d). What is the remainder when n(-2) is divided by 19?
18
Suppose -4*z = -3*y + 24, 5*z + 40 = 5*y - 0*z. Calculate the remainder when 47 is divided by y.
7
Suppose 2*l - 31 = -7. Let f(v) = -7*v. Let d be f(-1). Suppose -2*c + 16 = r, 2*r + 10 = d*r. Calculate the remainder when l is divided by c.
5
Let q(n) = 2*n + 1. Let c(h) = -h**3 + 4*h**2 - 2*h. Let g be c(3). Suppose 10 = 5*m, 1 = s - 0*m - g*m. What is the remainder when s is divided by q(1)?
1
Let v(b) = -b**2 - 16*b - 1. Let w be v(-13). Suppose 6*k - w = 5*k. Let p(y) = 13*y**3 + y**2 - y. What is the remainder when k is divided by p(1)?
12
Let g = 188 + -168. Calculate the remainder when 97 is divided by g.
17
Suppose 0 = -5*l + 67 + 18. Calculate the remainder when 31 + (-3 - -2)*-1 is divided by l.
15
Suppose 5*o - 2*r = 3*r + 65, 5*o = -2*r + 72. What is the remainder when 17 is divided by 4/o + 305/35?
8
Let a(k) = -k**3 - 3*k**2 + 6*k - 4. Let u(x) = -x**3 - 5. Let v be u(0). Let h be a(v). What is the remainder when 39 is divided by -1 + 3 + h + 2?
19
Let r = 47 + -17. Calculate the remainder when r is divided by 11.
8
Suppose 0 = -m + 4*d - 3, -2*m + 0*d = 3*d - 38. What is the remainder when 1*(1 - (-48 + 0)) is divided by m?
10
Suppose 0*q - 3 = -3*q. Suppose 2*v = 2*t - 1 + 47, -2 = -2*t. Calculate the remainder when v is divided by 13/(q/(-1 - -2)).
11
Let u = 16 - 17. What is the remainder when (u + 2)*23 + -2 is divided by 8?
5
Let u(o) = o + 5. Suppose 3*d = -2*z + 10, -d - 5*z + 25 = 4*d. What is the remainder when 12 is divided by u(d)?
2
Suppose -4 = 2*d - 3*d. Calculate the remainder when (-1)/(2*d/(-176)) is divided by 8.
6
Suppose 228 = 7*p - 290. Calculate the remainder when p is divided by 38.
36
Let p be ((-24)/14)/(7/(-49)). Suppose 6 = 13*a - p*a. What is the remainder when a is divided by (-2)/8 + 9/4?
0
Let v = 15 + -7. What is the remainder when 18/8 + (-2)/v is divided by 2?
0
Suppose 2*y - 2*i + 1 = 9, 3*y - 32 = -2*i. Let j = 45 + -81. Let r = j + 50. Calculate the remainder when r is divided by y.
6
Let c = -20 + 46. Suppose 4*g - 52 = 3*m, 2*m + c = g - 2*m. Let k(s) = 2*s - 5. Calculate the remainder when k(g) is divided by 8.
7
Let q(z) = -3*z + 1. Calculate the remainder when q(-4) is divided by 9.
4
Let g = -8 + 5. Suppose z - 3 - 48 = -4*b, -5*z = 2*b - 39. What is the remainder when b is divided by (-2 + g/(-2))*-14?
5
Let k = -148 - -182. What is the remainder when k is divided by 18?
16
Let z(i) = -3*i + 4 + i - 3 + 7*i**2. Suppose 20 = -2*t + 4*t. Calculate the remainder when t is divided by z(1).
4
Suppose -5*j - 4*q = -41, 3*j + 5*q - 21 - 14 = 0. Suppose 3*s - s + 16 = 3*v, -2*s + j*v = 24. What is the remainder when ((-2)/4)/(1/s) is divided by 1?
0
Suppose -13*l = -9*l - 176. Let b = 1 - -14. What is the remainder when l is divided by b?
14
Let v(c) = c - 1. What is the remainder when 2/5 + (-66)/(-10) is divided by v(6)?
2
Let q(r) = -2*r + 2. Let z be (-1)/((-1)/39*-3). Calculate the remainder when q(-2) is divided by (z - -3)*6/(-15).
2
Let q(x) = -35*x**3 + x + 1. What is the remainder when q(-1) is divided by 19?
16
Suppose 5*d = 7*d - 6. What is the remainder when 5 is divided by d?
2
Suppose 0 = -4*z + 12, 3 = p - 5*z - 8. What is the remainder when p is divided by ((-112)/(-20))/(4/10)?
12
Let p be 34 + (-3)/(9/6). Let w = p - 23. Calculate the remainder when 35 is divided by w.
8
Let c(n) = -2*n. Let r be c(-2). Suppose 0 = -3*o - o + r. Suppose 14 = 3*y - o. Calculate the remainder when y is divided by 2.
1
Let o(w) be the first derivative of w**3/3 - 7*w**2/2 - 2*w - 2. Let r be o(7). Let z = 22 + r. What is the remainder when z is divided by 11?
9
Suppose 2 = 2*i - 2. Let w be i/(-3)*13*3. Calculate the remainder when 5 is divided by w/(-10) - (-10)/25.
2
Let w = 12 + -10. What is the remainder when 5 is divided by w?
1
Let p = -64 - -80. Calculate the remainder when 42 is divided by p.
10
Let o(y) = y - 19. Calculate the remainder when 6 is divided by o(22).
0
Let n = 36 - 12. Calculate the remainder when 42 is divided by n.
18
Let u = 72 - 37. What is the remainder when u is divided by 10?
5
Let x(j) = -j**2 + 8*j - 7. Let a be 1 + 7 - (3 - 1). Let g be x(a). Suppose 0*r + 35 = g*r. Calculate the remainder when 19 is divided by r.
5
Let g = 18 - 32. Let z = g - -15. Calculate the remainder when 1 is divided by z.
0
Suppose 20 = -5*h + 115. Let u = 45 - 26. Suppose -4*k + 129 = -u. Calculate the remainder when k is divided by h.
18
Let q = 60 - 33. Let a = -12 - q. Let x = -26 - a. Calculate the remainder when x is divided by 7.
6
What is the remainder when 153 is divided by 0 - (-1 - 32 - (-6)/3)?
29
Suppose 0 = 4*c + 5*h - 19, 3*c - 3*h = 5*c - 11. Let x = -159 - -160. What is the remainder when c is divided by x?
0
Let o(k) = k**3 - k**2 + 1. What is the remainder when (-8)/(-52) + (-932)/(-26) is divided by o(3)?
17
Let y(l) = l + 1. Let c be y(4). Suppose -m = -3*n - 5, -2*m + 4*m + c*n - 54 = 0. Calculate the remainder when 32 is divided by m.
15
Let s(t) = -2*t**3 + 11*t**2 - 15. Calculate the remainder when s(5) is divided by ((-27)/(-6))/((-3)/(-4)).
4
Suppose 16 = -2*a + 86. Suppose -3*u + n = -a, 3*u - 2*n = -0*u + 37. Calculate the remainder when 30 is divided by u.
8
Let g(m) = -m**2 + 8*m + 27. What is the remainder when 113 is divided by g(6)?
35
Suppose 3*c - 15 = 21. Suppose 10 = -3*i + 5*o, 4*i - 2 = -o + 23. What is the remainder when c is divided by i?
2
Suppose 4*l - 3 = -7. Calculate the remainder when 34 is divided by l/(2/72*-2).
16
Suppose -115 = -5*j - 0*j. What is the remainder when j is divided by 8?
7
Suppose 4*f - 16 = -u, 4*f - 5*u + 6 = -2. Suppose f*k - 76 = -k. Calculate the remainder when k is divided by 5.
4
Suppose 31 = -5*w + 441. What is the remainder when w is divided by 21?
19
Suppose -z + 104 = 2*g, -3*z - 74 = -g - 22. What is the remainder when 259 is divided by g?
51
Let r(g) = -g + 6. Let z be r(7). What is the remainder when 37 is divided by (z + (-30)/(-4))*2?
11
Suppose -5*u - 9 = -8*u. Suppose -g = -u*b + 4 - 0, 0 = 3*b + g - 14. Calculate the remainder when (-20)/(-8) - (-2)/4 is divided by b.
0
Suppose -64 = -3*c + 8. What is the remainder when 334 is divided by c?
22
Let m = -28 + 35. Calculate the remainder when 11 is divided by m.
4
Let y(x) = x**3 + 3*x**2 - 4*x + 3. Let z be y(-4). Suppose 0*s + 55 = 2*t + s, -z*t + 2*s + 72 = 0. Calculate the remainder when 50 is divided by t.
24
Let h(g) = -g + 30. What is the remainder when h(15) is divided by 10?
5
Let j(i) = i + 19. Suppose 0 = -5*c - 3*r - 2*r + 10, -4*r = 5*c - 8. Calculate the remainder when 56 is divided by j(c).
18
Let d = 30 + -11. What is the remainder when 54 is divided by d?
16
Let v = 0 + 13. Suppose 3*n - 364 = 5*d, 0*n - 132 = -n - d. Suppose -4*w + n = 32. What is the remainder when w is divided by v?
11
Suppose 0 = 6*h - 479 + 143. Suppose -2*t - h - 96 = -2*l, 2*l + 2*t = 148. What is the remainder when l is divided by 26?
23
Let b(s) = s**3 + 6*s**2 - 2*s - 7. Let z be b(-6). Suppose -3*o = -3*r + 10 + 20, o = -z*r + 38. What is the remainder when 15 is divided by r?
7
Suppose q = -2*a + 88, a = -3*q + q + 50. Suppose 3*s - 40 = -5*b, -9*b - 4*s = -4*b - 35. What is the remainder when a is divided by b?
9
Let j(h) = -h**2 + 3*h - 13. Let w be j(10). What is the remainder when w/(-3) + 4/12 is divided by 10?
8
Suppose 62 = 5*m - 38. What is the remainder when 76 is divided by m?
16
Suppose 4*g + 33 = 7*g. Calculate the remainder when g is divided by 4.
3
Let q(i) = -i**2 + 19*i + 31. What is the remainder when 40 is divided by q(20)?
7
Suppose -v = -0*v - 54. What is the remainder when v is divided by 11?
10
Suppose -98 = -3*f + 2*h, f - h - 2*h - 42 = 0. What is the remainder when 89 is divided by f?
29
Suppose 3*d = -5 + 83. Suppose 5*u + d = 101. Let a = -41 - -84. Calculate the remainder when a is divided by u.
13
Let y = 0 - -11. Let p = 17 - y. Calculate the remainder when 23 is divided by p.
5
Let j(i) = -10*i + 1. Calculate the remainder when j(-3) is divided by 16.
15
Let m(u) = -4*u**3 + 6*u**2 - 4*u - 6. Let j(p) = -p**3 - p. Let v(y) = 3*j(y) - m(y). What is t