at is the remainder when 51 is divided by p?
24
Suppose 0 = -3*x - 7 + 37. Suppose -3*q + x = -8. Let g = 1 + q. Calculate the remainder when 32 is divided by g.
4
Suppose 8*v = 3*v - 15. Let b be (6/(-4))/(v/(-184)). Calculate the remainder when b*(1 + (-15)/12) is divided by 12.
11
Let l = 10 + -20. Let k = l - -9. Calculate the remainder when 29 is divided by (-18)/k - (-1 - -3).
13
Suppose 5*j + 5 = 0, 2*j = 5*v + 3*j - 19. Let k(n) = n**2 + 2*n + 7. Calculate the remainder when k(5) is divided by (-141)/(-9) - v/6.
12
Let h(z) = 6*z**3 - 2*z**2 - z - 2. Let a be h(3). Let y = a + -74. Let n = y + 10. Calculate the remainder when n is divided by 19.
18
Let y be -1564 - (-3 - -5) - (6 + -4). Calculate the remainder when (-1)/((-5)/(-3)) - y/80 is divided by 4.
3
Suppose o + i = 49, 0 = -23*o + 22*o + 4*i + 39. What is the remainder when 421 is divided by o?
45
Let r be (28 - 19) + (-4 - 0). Suppose 13 - r = -4*p, p = -3*d + 13. Suppose -i = i + 5*z - d, -4*z - 32 = -2*i. What is the remainder when 17 is divided by i?
7
Let f(l) = l + 1. Let k be f(6). Calculate the remainder when 19 is divided by k + ((-15)/9 - 4/12).
4
Let k = -322 - -331. Calculate the remainder when 133 is divided by k.
7
Let d be 2/((24/(-42))/2). Calculate the remainder when (-11)/(3 + 3 + d) is divided by 3.
2
Suppose -287 = -11*l + 4*l. What is the remainder when 204 is divided by l?
40
Let z(s) = -3*s**2 - 3*s + 2. Let i be z(3). Let t = 42 + i. Calculate the remainder when 71 is divided by t.
7
Suppose 0*a = -8*a + 248. What is the remainder when a is divided by 11?
9
Let m = 129 - 92. Let b(s) = s**3 - 13*s**2 + 15*s - 14. Calculate the remainder when m is divided by b(12).
15
Calculate the remainder when 6010/25 + -3 - (-2)/(-5) is divided by 40.
37
Let y = 301 - 287. Calculate the remainder when 83 is divided by y.
13
Suppose -3*a - 1344 = -3*i, -29 + 30 = -a. What is the remainder when i is divided by 20?
7
Suppose 2*j - 15 = -3*j. Let v = j - -1. Let p(q) = -2*q**2 - 4*q + 1. Calculate the remainder when v is divided by p(-2).
0
Let r(t) = -t - 3. Let v be r(-5). Suppose -v*k + 47 = 5. Let o = 61 - 1. What is the remainder when o is divided by k?
18
Suppose -4*y + 54 = -0*y + 5*q, y = -2*q + 12. Suppose 12*r + 104 = y*r. Calculate the remainder when 50 is divided by r.
24
Let b(j) = -2*j**3 + 23*j**2 + 33*j + 17. Let k(m) = m**3 - 11*m**2 - 16*m - 8. Let x(r) = 4*b(r) + 9*k(r). Calculate the remainder when x(9) is divided by 18.
14
Suppose 4*s + k - 156 = 0, -3*k + 32 + 46 = 2*s. Suppose -s*d = -43*d + 20. Calculate the remainder when (0 - -8)*3/4 is divided by d.
1
Calculate the remainder when 57 is divided by (-169)/(-26) + (-4)/8.
3
Suppose -5*x - j = -7658, 5*x = 5*j + 5732 + 1938. Suppose -5*z + 360 + 1202 = i, x = i - 5*z. What is the remainder when 49 is divided by 2/(-9) + i/117?
10
Let t(b) = -b**3 + 17*b**2 + 24*b - 42. Let v be t(18). Let r = 41 + v. What is the remainder when r is divided by 16?
11
Let c = 368 + -282. What is the remainder when 509 is divided by c?
79
What is the remainder when 232 is divided by (-3)/(-6) - (-75)/6?
11
Let r(y) = y**3 - 38*y**2 + 70*y + 86. What is the remainder when 179 is divided by r(36)?
11
Suppose 0 = 4*b + b - 10. Let t be b*12/8 + 78. What is the remainder when 1/((-78)/t - -1) is divided by 7?
6
Suppose 5*m + 16*m - 567 = 0. Let u = -5 - -8. What is the remainder when m is divided by 16 + (-2)/(u + -1)?
12
Let y(b) = b**2 - 5*b - 24. Calculate the remainder when 130 is divided by y(-4).
10
Suppose -284 = 8*g - 932. What is the remainder when g is divided by 28?
25
Let y(m) = 45*m**2 - 10*m + 9. What is the remainder when y(2) is divided by 57?
55
Suppose -45*z + 43*z = -64. Suppose -10*i + 8*i + 122 = 0. Calculate the remainder when i is divided by z.
29
Let m(a) = -85*a + 686. Calculate the remainder when 2*11/8*4 is divided by m(8).
5
Let j(b) = b. Suppose 3*l = -14 + 35. Calculate the remainder when 27 is divided by j(l).
6
Suppose 44*g - 41*g = 180. Suppose 6*a - g = 60. Calculate the remainder when 117 is divided by a.
17
Let i(n) = n**3 - 3*n**2 + 8*n - 10. Let a be i(5). Calculate the remainder when 35 is divided by (-18)/10*a/(-24).
5
Calculate the remainder when 20 is divided by 228/120 - 5/(-50).
0
Suppose -28 = -2*y + 38. Suppose 5*g - 20 = 2*q, 0 + 10 = 2*q. Calculate the remainder when y is divided by g.
3
Let l(q) = 11*q**2 - q - 1. Let b = -16 - -41. Let s = -26 + b. What is the remainder when l(s) is divided by 3?
2
Suppose d = -0*d + 1. Let w be (180/(-24))/((-2)/(-4)). Calculate the remainder when d + (-2 - w) + -3 is divided by 6.
5
Suppose k + 15 + 15 = 2*a, 4*a = 3*k + 56. What is the remainder when 54 is divided by a?
3
Let v(g) = 20*g + 184. What is the remainder when 165 is divided by v(-8)?
21
Let p(y) = 3*y**2 - 6*y - 13. Let z be p(6). Let o = -41 + z. Calculate the remainder when 6/2*(o - -4) is divided by 17.
15
Suppose -5 = 2*h + 3*h, -x + 3*h + 6 = 0. Suppose v - 26 = -c, -x*v + 4*c - 2*c = -103. What is the remainder when v is divided by 17?
14
Let w(n) = -10*n - 4. Calculate the remainder when w(-7) is divided by 2/4*(35 - (-1)/1).
12
Let m = 562 - 552. Calculate the remainder when 76 is divided by m.
6
Suppose 4800*b = 4803*b - 30. What is the remainder when 4217 is divided by b?
7
Let h(f) = 4*f**2 - 7*f + 4. Let t be h(5). Suppose q + 2*q - t = 0. Let p(v) = v**2 - 3. Calculate the remainder when q is divided by p(-4).
10
Suppose 4*b - 5*b - 45 = 0. Let a = b - -97. What is the remainder when a is divided by 16?
4
Let r be (-29)/3 - (-4)/(-12). Let m = 6 - r. Let u(c) = 2*c**3 + c**2 - c + 3. Calculate the remainder when u(3) is divided by m.
15
Let v be -15*((-30)/9 + 3). Suppose 0 = 5*m + v*n, m + 4*n + 1 = -2*m. Suppose -m = r - 8. Calculate the remainder when 34 is divided by r.
6
Suppose 0*n + 3*n - 57 = 0. What is the remainder when 89 is divided by n?
13
Let r = 377 + -66. Calculate the remainder when r is divided by 26.
25
Suppose v - 3*v = -20. Let m(f) = -f + 15. What is the remainder when -5 - (-328)/24 - (-4)/(-6) is divided by m(v)?
3
What is the remainder when 3/((-188)/(-186) + -1) is divided by (-66430)/(-1183) + (-4)/26?
55
Let y = -339 - -469. What is the remainder when y is divided by 45?
40
Calculate the remainder when (-7)/84 - 20075/(-132) is divided by 81.
71
Suppose -20 = 3*k - 92. Calculate the remainder when ((-44)/(-33))/(2/321) is divided by k.
22
Suppose 28 = -6*y + 124. What is the remainder when (-29)/(0 - 1 - 0) is divided by y?
13
Suppose -1575 = 121*a - 130*a. What is the remainder when a is divided by 30?
25
Suppose 0 = 4*s + 16, -21*s = -o - 18*s + 93. Calculate the remainder when 333 is divided by o.
9
Let u(q) = 2*q**2 - q - 4. Calculate the remainder when (22*(-1)/(-4))/((-138)/(-828)) is divided by u(-3).
16
Suppose -29*t + 25*t + 600 = -2*n, -4*t + 5*n = -588. What is the remainder when 153 is divided by t?
1
Let o(c) = -9*c + 332. What is the remainder when 778 is divided by o(29)?
68
Let v = 136 + 15. What is the remainder when v is divided by 51?
49
Let f = -18 + 20. Suppose -5*r + r = f*q - 38, -21 = -3*r - 4*q. Suppose -3*t = -y - 33, -2*y = t - y - r. What is the remainder when 42 is divided by t?
9
Let t = 200 - 99. Let p be (4 - 6) + 21 + (-1 - -3). What is the remainder when t is divided by (p - -2) + (4 - 1)?
23
What is the remainder when 541 is divided by -4 + 862/12 + 8/48?
65
Suppose -19*z - 124 = -21*z. What is the remainder when z is divided by 17?
11
Let u = 101 + -60. What is the remainder when u is divided by 17?
7
Suppose 5*n + 2*s - 137 - 78 = 0, -3*s + 56 = n. Suppose -2*a - 4*z - 1 - 1 = 0, -4*a - 4*z = 0. Calculate the remainder when n is divided by (-70)/15*(-3)/a.
13
Let o(m) = 2*m**2 + 7*m - 10. Let f = -22 - -15. Let t = 48 + -34. What is the remainder when o(f) is divided by t?
11
Suppose -4*t + 337 = -227. What is the remainder when t is divided by 13?
11
What is the remainder when (-10)/(-20) + (-249)/(-2) is divided by 10?
5
Let t be 2 - ((-6)/2 + 0). Let l be (-18)/(-5)*(-60)/(-12). Suppose -t*c + l = -67. What is the remainder when c is divided by 4?
1
Let c(k) = -k**3 - 8*k**2 - 11*k - 7. Suppose 4*l - 2*l + 4*f + 34 = 0, 0 = 2*f + 10. What is the remainder when c(l) is divided by 6?
3
Suppose