 - a. Calculate the remainder when y is divided by f.
12
Suppose 0*f + 6 = y + f, 0 = 3*y + 5*f - 16. Suppose -5*p - y = -6*p. What is the remainder when p is divided by 5?
2
Suppose -31*a = -28*a - 69. Calculate the remainder when 136 is divided by a.
21
Let u(r) = 10*r**2 + 2*r - 3. Let o = -4 + 9. Suppose 0 = -4*v + 4*k + 40, -o*v - 5*k + 125 = 35. Calculate the remainder when u(2) is divided by v.
13
Suppose -10*u = -4*u - 102. Calculate the remainder when 66 is divided by u.
15
Suppose 2*f + 5*k = 129, -3*f - 3*k = -198 + 18. Calculate the remainder when f is divided by 16.
9
Let p = -43 - -66. Let u = -327 + 333. Calculate the remainder when p is divided by u.
5
Let k = 46 - 29. Calculate the remainder when 48 is divided by k.
14
Calculate the remainder when (135/(-6))/(-5)*18 is divided by 21.
18
Let v(n) = n + 7. Let j be (2/4)/(3/(-30)). Let s be v(j). Suppose -l = -s*l + 5. What is the remainder when l is divided by 3?
2
Suppose -109 = -5*u - 3*n, 2*u - 5*n = -0*n + 25. Let r = 3 + -11. Let j = 66 + r. Calculate the remainder when j is divided by u.
18
Let p be -2 - 0 - (-6)/3. Suppose 2*o + 2*r + 211 = 3*o, p = -3*o - r + 640. Calculate the remainder when o/5 + (-4)/(-10) is divided by 11.
10
Let h be (-1)/(1 + -4)*-69. Let a = -12 - h. Suppose -p - 25 + 81 = -5*f, -2*p = -f - 67. Calculate the remainder when p is divided by a.
9
Let z = -7 - -27. Suppose 3*r = 2*r + z. What is the remainder when r is divided by -11*1/(-2)*2?
9
Let x(r) = r + 6. Let g be x(-6). Suppose -3*o + 6 = 2*w, -18 = -4*w - g*o - 3*o. Suppose -4*y = y - 85. What is the remainder when y is divided by w?
5
Let q = 50 + -21. Calculate the remainder when 84 is divided by q.
26
Let j(o) = -2*o**3 + 7*o**2 + 7*o + 6. What is the remainder when 35 is divided by j(4)?
17
Suppose -d = -5*r + 25, r - d + 0*d = 5. Let i = -1 + 3. Suppose i*k = 4*a + 7*k - 31, 0 = 4*k + 20. Calculate the remainder when a is divided by r.
4
Let n = -7 + 3. Let d(m) = -m**3 - m + 1. Let v(t) = -5*t**3 + 3*t**2 - 9*t + 5. Let p(f) = 6*d(f) - v(f). What is the remainder when p(n) is divided by 4?
1
Let m(v) = -5*v + 37. What is the remainder when 3 is divided by m(7)?
1
Suppose -5*s + 94 = -2*n, 5*s = s - 2*n + 86. Suppose -113 = -8*x + 183. Calculate the remainder when x is divided by s.
17
Let q = 154 + -96. Let o = 30 - 18. Calculate the remainder when q is divided by o.
10
Let o(b) = 13*b - 3. Let y = 33 + -15. What is the remainder when y is divided by o(1)?
8
Suppose -z + 10 = -3*p + 4, -120 = -5*z - 3*p. Suppose l = 2*b - 0*b + z, 0 = 5*l - 5*b - 80. What is the remainder when 41 is divided by l?
8
Let i(s) = -s**3 - 10*s**2 + 11*s + 25. Suppose -52 = -0*w - 4*w. What is the remainder when i(-11) is divided by w?
12
Let h be 2/(-2)*(1 - 27). Suppose 0 = -s + 28 + h. What is the remainder when s is divided by 14?
12
Suppose 5*u - 30 = -5*b + 10, 22 = 5*u - 4*b. What is the remainder when 21 is divided by u?
3
Suppose -83 = -t + o, 269 = 3*t - o + 2*o. Calculate the remainder when t is divided by 18.
16
Suppose 0 = -5*n + n + 96. What is the remainder when 44 is divided by n?
20
Let o be 3 - -1 - 0 - -25. Suppose 3*b = o + 7. Calculate the remainder when 22 is divided by b.
10
Let g(d) = 8*d - 9. Let b(w) = 23*w - 27. Let s(a) = 4*b(a) - 11*g(a). What is the remainder when 29 is divided by s(6)?
14
Let c(q) = -q**3 - 10*q**2 - 12*q - 12. Let h be c(-9). Suppose 19 = 3*k + d - 16, h = 3*d. What is the remainder when k is divided by 4?
2
Let j = 0 + -5. Let q(i) = i**2 + 3*i - 2. Calculate the remainder when 23 is divided by q(j).
7
Let k = -26 - -41. Let q = k + -9. Let b(i) = -3*i**3 + i**2 - i - 1. What is the remainder when q is divided by b(-1)?
2
Suppose 4*l + 5*g = 29 + 54, 0 = 5*g + 5. Calculate the remainder when 129 is divided by l.
19
What is the remainder when 88 is divided by (-272)/(-9) - 2/9?
28
Suppose 148 + 62 = 6*q. What is the remainder when 68 is divided by q?
33
Let u(n) = n**2 + n + 34. Let k be u(0). Let m = k - 13. Calculate the remainder when m is divided by ((-6)/4)/((-1)/4).
3
Suppose -p - 29 = -2*p - 2*x, 0 = -4*p - 4*x + 96. Let y(i) = i**2 + 7*i - 3. Calculate the remainder when p is divided by y(-8).
4
Let n(h) = h**2 + 2*h. Let u be n(5). Suppose 0 = -4*p - p + u. Calculate the remainder when (-1)/(-3)*(-2 + 41) is divided by p.
6
Suppose -3*j - 15 = -3. Let c = j + 11. Suppose 0 = -3*z + 6*z - 12. What is the remainder when c is divided by z?
3
Suppose -q = -5 - 3. Suppose 0 = r + t - 20, -4*r + 53 = 3*t - q*t. Calculate the remainder when r is divided by 6.
5
Suppose 15*x = 9*x + 468. Calculate the remainder when x is divided by 8.
6
What is the remainder when 27 is divided by (-18)/(-3) + -3 - -7?
7
Suppose 0 = -l + 5*o - 4*o + 31, o - 114 = -4*l. Calculate the remainder when 50 is divided by l.
21
Let a(l) = -13*l - 2. What is the remainder when 65 is divided by a(-1)?
10
Suppose 0 = 3*z - 4*n - 116, 53 = z + 5*n + 8. Calculate the remainder when z is divided by 15.
10
Let j be (-3)/2*16/(-6). Let w be 2 + (j/(-2) - 1). Calculate the remainder when (-2)/(15/(-12) - w) is divided by 5.
3
Suppose 0 = q, 3*u + 4*q = -0*u + 144. Calculate the remainder when u is divided by 14.
6
Let t be 69/12 - 2/(-8). Calculate the remainder when (-3)/t + (-166)/(-4) is divided by 14.
13
Let m(i) = 3*i**3 - i**2 - 2*i - 1. Let t be (-1*20)/(-4) + 3. Suppose 0 = -t*h + 3*h + 215. What is the remainder when h is divided by m(2)?
13
Suppose -2 - 4 = -3*g. Suppose -g*b - 19 - 4 = 5*j, -2*j - 12 = -2*b. Let y(i) = -i**2 - i + 1. Calculate the remainder when y(0) is divided by b.
0
Suppose -4*t + 7 = 3. Calculate the remainder when (3/9)/((-2)/(-18)) is divided by t.
0
Let v = 1 - 1. Let y = v + 2. Calculate the remainder when 21*(y + 12/(-9)) is divided by 5.
4
Let r = -6 + 10. What is the remainder when 1*33/9*3 is divided by r?
3
Calculate the remainder when (-13 - -1)/4 + 26 is divided by 6.
5
Suppose 0 = -3*b + 5*a + 114, 0 = b - a + 2*a - 30. Calculate the remainder when b is divided by 8.
1
Suppose 4*o = 141 - 33. What is the remainder when 79 is divided by o?
25
Suppose 4*q = 7*q - 18. Let y = -7 - -18. Calculate the remainder when y is divided by q.
5
Suppose -59*d + 53*d + 54 = 0. What is the remainder when d is divided by 6?
3
Let n = 146 - 82. What is the remainder when n is divided by 33?
31
Let y(m) = -m**3 + 2*m**2 + m - 4. Suppose -x + 2*b = -12, b + b - 88 = -4*x. What is the remainder when y(-3) is divided by x?
18
Let y = -36 - -59. Let g = y + -15. What is the remainder when g is divided by 3?
2
Let b = 309 + -272. Suppose 0 = 3*n - 0*f - f - 44, 3*n + 3*f - 24 = 0. What is the remainder when b is divided by n?
11
What is the remainder when 41 is divided by (13 - -1)*(-8)/(-16)?
6
Let a(n) = n**3 + 6*n**2 - 7*n + 10. Let l be a(-9). What is the remainder when (-3 + 0)*l/15 is divided by 18?
16
Let m be (-10)/3*(3 - 0). Let t(k) = k**3 + 11*k**2 + 10*k + 10. What is the remainder when 312/18 + 4/6 is divided by t(m)?
8
Suppose 2*a + 205 = -3*a. Let j = 68 + a. Calculate the remainder when j is divided by 14.
13
Let a be (-3)/(((-21)/10)/7). Suppose -2*r - 7*s + a = -3*s, s + 1 = -4*r. What is the remainder when 53 is divided by r + -2 + 3 - -14?
11
Let g(s) = -3*s - 8. What is the remainder when 48 is divided by g(-5)?
6
Let w = 9 + -5. What is the remainder when w is divided by -3*(-1)/(-1 - -2)?
1
Let p(m) = -m - 3. Let h be p(-3). Suppose -c + 7 + h = 0. What is the remainder when 13 is divided by c?
6
Let m = 5 + -3. Suppose -m*y - 4*j = 8, -3*y - 3 = -j + 4*j. What is the remainder when 26*(3/(-3) + y) is divided by 14?
12
Suppose 2*s + a - 5 = 0, -2*a - 3*a = -2*s + 23. Suppose -i - s = -12. Calculate the remainder when 14 is divided by i.
6
Suppose -4*n - 9 = 3*v - 4*v, -4*n = v - 1. Let x(q) = q**3 + 2*q**2 + 2*q - 3. Let u be x(-3). Calculate the remainder when 3 + u/(-2) - n is divided by 8.
5
Suppose -5*y + 5*u + 80 = 0, u + u - 10 = 0. What is the remainder when 39 is divided by y?
18
Suppose 0 = -5*z + 19 + 6. Let s(t) = t + 6. What is the remainder when s(6) is divided by z?
2
Suppose 2*m + i = 1 + 11, -2*i + 9 = m. Let a be 3/6 - 6/8*-2. Suppose -2*s = -2 - a, 0 = -m*r + 3*s + 14. Calculate the remainder when 6 is divided by r.
2
Let a = 3