13
Let r(m) = -15*m - 784. Suppose -3*a - a = -840. Suppose 4*p - 3*y - 163 = -2*y, 5*p = -5*y + a. Calculate the remainder when p is divided by r(-53).
8
Let l(k) = 6*k**3 - 8 - 3*k**3 + 0*k + 10*k**2 - 2*k**3 + 9*k. Suppose 38 = 3*i - 5*d, -4*d + 20 + 9 = 3*i. What is the remainder when l(-7) is divided by i?
10
Suppose -455*k + 91 = 3*g - 460*k, -5 = -5*k. Suppose -19 = -3*n + 11. Calculate the remainder when g is divided by n.
2
Suppose 2*c - 533 = -399. Calculate the remainder when 600 is divided by c.
64
Suppose -5*z - 3*d = -0*d - 22, -2*z = 5*d - 24. Suppose 0*g + 72 = 3*x + 3*g, -4*x - z*g = -104. Calculate the remainder when x is divided by 10.
8
Let s(r) = r**3 + 3*r - 1. Suppose -5*m + 835 = 3*z, 4*m + 418*z - 668 = 415*z. What is the remainder when m is divided by s(3)?
27
Let o(p) = 29*p + 87. Let r be o(-3). Let f(w) = 2*w**2 - w + 196. Calculate the remainder when f(r) is divided by 50.
46
What is the remainder when 21*(-5816)/112*-2 is divided by 544?
5
Suppose 18 = 11*o - 17*o + 9*o. What is the remainder when 39 is divided by o?
3
Suppose -4*n - 24 = -4*h, -h - 4*n = -4*h + 18. Suppose -3*g + 123 = 4*v, 0*g - 15 = 5*g. What is the remainder when v is divided by (-2)/((13/h)/(-13))?
9
Let v = -5589 - -6461. What is the remainder when v is divided by 38?
36
Calculate the remainder when (-8)/((-56)/(-133)) + 403 is divided by 133.
118
What is the remainder when 143/39*150/10 is divided by 16?
7
Suppose 0 = -8*i - 451 - 101. Let d = -52 - i. Let k(f) = 66*f**2 + f. Calculate the remainder when k(1) is divided by d.
16
Suppose 4*v - 5*k + 20 = 7, -4*v + k = -7. Suppose 5*r - 17*t + 16*t = 470, 5 = t. Calculate the remainder when r is divided by v.
2
Suppose 4*d - 66 = d. Suppose 410*o - 414*o = -48. Calculate the remainder when ((-3 - o) + 9)/(4/(-58)) is divided by d.
21
Let d = 522 - 518. Suppose 18 = 5*m - d*x, 0 = -5*m + 3*m + 5*x + 14. What is the remainder when (-5)/(-2)*(-12)/(-10) is divided by m?
1
Let p = 670 - 1380. Calculate the remainder when 117 is divided by p/(-12) + 40/48.
57
Suppose 261 = 26*v - 805. Suppose -2*c + 121 = -2*u - 169, 9 = -3*u. What is the remainder when c is divided by v?
19
Let p be (-2 - -5)*(4 + -1). Let o(x) = -12 + 3 + 10*x - 14. Calculate the remainder when o(p) is divided by 19.
10
Let q = 2 - -32. Suppose 5*o + o = 72. What is the remainder when q is divided by o?
10
Let k be 30/(-50) - (3 + (-4)/(-10)). What is the remainder when 178 is divided by 27/(-2)*(k - (-16)/12)?
34
Let w(i) = -10*i**2 + 6*i**2 - 5 + 2 + 4 + 4*i**3. What is the remainder when 108 is divided by w(2)?
6
Suppose -16 = 69*j - 70*j - 2. Let w(l) = 39*l**3 - 2*l**2 + 2*l - 1. Let o = -6 - -7. What is the remainder when w(o) is divided by j?
10
Let u(x) = x**2 - 12*x + 5. Let h be u(-10). Suppose -7*z - 2*z + h = 0. Calculate the remainder when 41 is divided by (-1)/(-1)*-3 + z.
19
Let u be (10/50)/((-2)/(-50)). Suppose -u*i + 189 = 2*x + 50, -3*x + 141 = 5*i. What is the remainder when 186 is divided by i?
24
Let a = -288 - -386. Let q = a - 72. Calculate the remainder when 47 is divided by q.
21
Let g(m) = 17*m - 36. Let c(n) = 36*n - 71. Let t(x) = 6*c(x) - 13*g(x). Calculate the remainder when 34 is divided by t(7).
6
Let r(x) = 67*x + 352. What is the remainder when 1425 is divided by r(-5)?
14
Let x be -2*1 - (-133 - 3). Let l = x + -6. Suppose 2*d - 2 = 0, -6*c = -c - 2*d - l. What is the remainder when c is divided by 14?
12
Let f(i) = 630*i + 212945. Suppose 3*z - 12 = 4*s + 42, -2*s = 0. What is the remainder when z is divided by f(-338)?
3
Let l(q) = -q**3 + 17*q**2 + 9*q + 173. Suppose -1 = -j - 0*j. Let m(c) = 63*c**2 + 2*c - 2. Calculate the remainder when m(j) is divided by l(18).
8
Suppose -x + 118 = x + 2*a, -106 = -2*x - 5*a. Suppose 2*o = x + 63. What is the remainder when o is divided by 28?
7
Let z = -8326 - -8347. What is the remainder when 941 is divided by z?
17
Suppose -3 = -m + 7. Suppose -4*w + 6 + m = 0. Let n(v) = 9*v**2 + 101*v - 99. Calculate the remainder when n(1) is divided by w.
3
Suppose 0 = -6*u + 96 - 114. Let q(g) = 4*g**2 + 4*g + 3. What is the remainder when q(-3) is divided by (-11)/u - 3/((-18)/8)?
2
Suppose -1475 = -101*o + 42*o. What is the remainder when o is divided by 7?
4
Suppose u = 17 + 30. Suppose -4533 + 4115 = -22*t. What is the remainder when u is divided by t?
9
What is the remainder when 1965 + ((24/(-15))/8)/(8/120) is divided by 64?
42
Suppose v - 5*i + 194 = 600, 3*i = 4*v - 1675. What is the remainder when 1270 is divided by v?
7
Let i(w) = -w**3 - 44*w**2 - 55*w + 367. What is the remainder when i(-43) is divided by 68?
67
Suppose 128 - 16 = -28*x. What is the remainder when x/(-7) + (-17064)/(-126) is divided by 25?
11
Suppose 0*g = 5*g + 125. Let h = 40 + g. Let a(n) = 2*n**2 + 39*n + 83. Calculate the remainder when a(-18) is divided by h.
14
Let f = 530 + -412. Let b = 59 + -19. What is the remainder when f is divided by b?
38
What is the remainder when (40 - 39) + (87 - (-3 - -3)) is divided by 14?
4
Suppose q - 5*o - 6 = 0, 16*q - 5*o = 11*q + 70. Suppose -q*v + 590 = -386. Calculate the remainder when 237 is divided by v.
54
Suppose 64*j = 439*j - 21101 - 22399. What is the remainder when j is divided by 65?
51
Let r = 1896 - 1717. What is the remainder when r is divided by 86?
7
Let a(i) = -3*i + 128. Let p be a(41). Suppose -5*w = -p*y - 27 + 167, 4*y + 2*w - 118 = 0. What is the remainder when y is divided by 10?
9
What is the remainder when ((-148)/12)/(3/(-63)) is divided by 39?
25
What is the remainder when (1410/4 - 3)/(21/14) is divided by 41?
28
Suppose 0*j - 678 = -6*j. Calculate the remainder when j is divided by 575/10 + 2 + (-5)/2.
56
Let q be 1/(6/(-4)) - (-178204)/276. Let m = q + -622. What is the remainder when 367 is divided by m?
22
Let o = 1107 - 178. Suppose 5*b - o = 2041. What is the remainder when b is divided by 23?
19
Let m(a) = a**3 - 81*a**2 + 164*a - 366. What is the remainder when 1488 is divided by m(79)?
84
Suppose q - 4*s - 70 = -q, 4*q - 4*s - 156 = 0. Suppose 0 = 5*j + 74*b - 79*b - 40, b = 2*j - 22. Calculate the remainder when q is divided by j.
1
Let w be 7/((-91)/(-26)) - 4. Let k be ((39 - 1)*-1)/(-2). Let t = k + w. What is the remainder when 39 is divided by t?
5
Let t(c) = 9*c - 142. Let a be t(15). Calculate the remainder when 262 is divided by a/((-21)/9)*9.
19
Let b = 58 - 21. Let k(l) = l**2 + 23*l + 15. Suppose -23 = 5*y - 4*y. What is the remainder when b is divided by k(y)?
7
Suppose 52 = k - 126*o + 123*o, -2*o = -k + 46. What is the remainder when k is divided by 27?
7
Let m(z) = -z**2 + 11*z - 17. Let d be m(9). What is the remainder when 4/(-6) + d + 980/30 is divided by 6?
3
Suppose 0 = s - 2*c - 1864, -2*s + 5*c = -0*c - 3733. Suppose 579 = -15*b + s. Calculate the remainder when b is divided by 21.
1
Let o be 28/(-112) + (-7)/4. Let k(u) = -151*u + 8. Let b be k(o). Suppose 0 = 8*s - b + 86. What is the remainder when 94 is divided by s?
10
Let j(v) = -3*v**3 - 40*v**2 + 20*v - 47. What is the remainder when 4157 is divided by j(-14)?
62
Suppose 5324*g - 5285*g - 5343 = 0. What is the remainder when 15891 is divided by g?
136
Let f be 16/24*(-1719)/6. Let z = -119 - f. What is the remainder when z is divided by 29?
14
Suppose -5*y - 2*u + 12 + 8 = 0, 2*u - 4 = -y. Suppose 48*q = 49*q - 3*k - 309, -3*k = y*q - 1296. What is the remainder when q is divided by 7?
6
Let w = -762 + 912. What is the remainder when w is divided by 117?
33
Suppose -5*f + 15*n = 18*n - 117, 3*f - 73 = n. What is the remainder when f is divided by 9?
6
Let q = 273 - 275. Suppose b - 9 = -2*j, -b - 15 - 1 = -3*j. Calculate the remainder when (-260)/(-28) - q/(-7) is divided by j.
4
Suppose -41*c + 822 = -39. Let h = 22 + -8. Calculate the remainder when c is divided by h.
7
Suppose 14*b = 41*b - 486. Let z(l) = -10*l + 221. Calculate the remainder when 858 is divided by z(b).
38
Let y(c) = 5*c + 9*c - 2*c - 33 + 7*c. Calculate the remainder when 34 is divided by y(2).
4
Let l(x) = -x**2 + 18*x - 24. Let q be l(18). What is the remainder when (q/6 - -1)*(-218)/6 is divided by 37?
35
Calculate the remainder when 121 is divided by 5 + (-1 - -4 - (9 - 7)).
1
What is the remainder when 2419 is divided by (-48)/(-30)*(-4840)