Suppose 3*f = -2*a - 188, f + 2*a = 4*a - 76. Let r = f + 89. Suppose 9*d - 7*d = 28. What is the remainder when r is divided by d?
9
Suppose 8*q - 3 = 125. What is the remainder when 3/15*457 - 40/100 is divided by q?
11
Let w be (2/8)/(2 + (-927)/468). Suppose -w*v + 223 + 63 = 0. Calculate the remainder when 58 is divided by v.
14
Let l(n) = 4*n + 6. Let b(q) = q**3 + 6*q**2 - 24*q + 79. Calculate the remainder when b(4) is divided by l(6).
23
Let u = 1025 + 6324. What is the remainder when u is divided by 49?
48
Let v = 2907 + -2893. What is the remainder when 4203 is divided by v?
3
Calculate the remainder when 15499/4 + ((-26)/(-72) - (-103)/(-927)) is divided by 68.
67
What is the remainder when 396 is divided by (-177)/413*805/(-15)?
5
Let h(z) = 3*z**3 + 8*z**2 + 2*z - 4. Let n be h(-2). Suppose 0 = -w + 2*f + 201, -w + 0*f + f + 203 = n. Calculate the remainder when w is divided by 69.
67
Suppose -2 = -2*w, 7*w = 47*o - 50*o + 361. What is the remainder when o is divided by 114?
4
Let g(k) = -1015*k + 239. Calculate the remainder when g(-4) is divided by 2144.
11
Suppose 4*g + 8 - 44 = 0. Let k = -159 + 72. Let d = -81 - k. Calculate the remainder when g is divided by d.
3
Let u = -5009 + 6436. What is the remainder when u is divided by 84?
83
Suppose 3*d + 18 = 0, -43 = -5*r + 2*d + 17214. Calculate the remainder when r is divided by 10.
9
Suppose -199 = -5*o + 4*p - 15, 4*o = p + 145. Suppose 402 = 5*v - 3*u - 124, u - 3 = 0. Calculate the remainder when v is divided by o.
35
Let v(b) = -b**3 - 4*b**2 + 2*b + 3. Let z be v(3). Let d = 92 + z. What is the remainder when 186 is divided by d?
34
Suppose -42*x = -31*x - 473. What is the remainder when x is divided by 4 + 19 + -1 + 0?
21
Let v(q) = 64*q - 1059. Suppose -16 - 16 = -4*p. What is the remainder when v(17) is divided by p?
5
Let o be (-4)/(-2)*2/((-8)/(-8)). Suppose -o*g + 265 = -5*a, -g + 5*a - 6 = -91. Let b(r) = r**2 - r - 3. Calculate the remainder when g is divided by b(4).
6
Suppose 0 = -l + 3*o + 426 + 6, -2*l + 864 = 3*o. Let m = l + -385. Calculate the remainder when m is divided by 12.
11
Let m = -249 - -1784. What is the remainder when m is divided by 24?
23
Calculate the remainder when 711 is divided by 2/3 + 2976/558.
3
Let i be 4/(3 + -1) + 16/(-4). What is the remainder when (-5 - 211/i)/(8/16) is divided by 71?
59
Let c = -245 - -247. Suppose -y - 238 = -3*x, -c*x + 3*y = -174 + 20. What is the remainder when 174 is divided by x?
14
Suppose -229 = -5*p - 59. What is the remainder when p is divided by (2 - 2) + 8 + 1?
7
Let p be ((-2)/1)/(1 - 2). Suppose -x + p*x - 24 = -5*w, w = -x + 20. What is the remainder when 531 is divided by x?
18
Let n = 659 + -642. Suppose 5*c + p - 410 = 6*p, p + 240 = 3*c. What is the remainder when c is divided by n?
11
Let z = -3067 - -3124. Let y = -9 + 19. What is the remainder when z is divided by y?
7
Let y(a) = 727*a + 820. Calculate the remainder when 11345 is divided by y(-1).
92
Suppose 0 = -3*h - 402*g + 397*g + 447, 5*g + 15 = 0. Calculate the remainder when 535 is divided by h.
73
Let f = 20 + 34. Suppose -f*k = -4034 - 610. Calculate the remainder when 168 is divided by k.
82
Suppose 0 = -2*g + u + 90 + 139, -3*g + 346 = -u. What is the remainder when g is divided by 56?
5
Let w = 2924 - 2429. Calculate the remainder when w is divided by 106.
71
Suppose 416*w - 412*w - 172 = -2*g, w + 142 = 2*g. Calculate the remainder when 5843 is divided by g.
71
Suppose 0 = -2*g - 9*g. Calculate the remainder when 398 is divided by (-12)/(-18) + (116/6 - g).
18
Let k = -310 - -319. Let a(q) = 13*q - 91. Calculate the remainder when a(k) is divided by 15.
11
Let c = -29 + 121. Suppose -4*x - c = m - 5*m, -4*x + 28 = m. Suppose -5*g - 5*t = -55, t = g - 0*g - 15. What is the remainder when m is divided by g?
11
Suppose z + 35 = 6*h - 5*h, 5*h - z - 195 = 0. Let w = 1037 - 839. Calculate the remainder when w is divided by h.
38
Let o(k) = k**3 - 24*k**2 - 2*k + 54. Suppose -1 = -5*t - 4*x - 7, 0 = 4*t + 3*x + 5. What is the remainder when 69/9 + t/(-6) is divided by o(24)?
2
Let r be (1/(-1))/(175/30 + -6). What is the remainder when r + (-56)/(-8) - -3 is divided by 10?
6
Suppose -4*o - 3*u + 188 = u, -3*o - 2*u = -141. Suppose -7*v = -2*v - 385. What is the remainder when o is divided by 11/(-3) - -3 - v/(-3)?
22
Suppose 6*n - 319 = -241. Suppose 0 = -17*s + n*s + 416. What is the remainder when s is divided by 9?
5
Let s = 5277 + -4994. What is the remainder when s is divided by 58?
51
Let t = -7485 + 7944. What is the remainder when t is divided by 52?
43
Let l = 789 + -733. What is the remainder when l is divided by 34?
22
Suppose -10*j + 11*j - 13 = 2*y, 0 = j - 5*y - 25. What is the remainder when j is divided by (-21)/(-14) - 1/6*3?
0
Let b be (-1491)/(-63) + (40/6)/(-4). Suppose 0 = -19*d + b*d - 417. What is the remainder when d is divided by 14?
13
Suppose -h = 1 - 34. Suppose 550*c - 545*c = -55, c + 596 = 3*j. What is the remainder when j is divided by h?
30
Suppose 0 = q + 38 - 47. Suppose q*b = 624 + 6. Calculate the remainder when b is divided by 4.
2
Let s be 363*(23/(-3) + 7). Let r = 253 + s. Calculate the remainder when r is divided by 9.
2
Suppose 10*v = 14*v - 16. Suppose v*i = -3*y + 985, 0 = 5*y - 3*i + i - 1659. Let j = y - 230. Calculate the remainder when j is divided by 13.
10
Let p = 417 - 179. Let g = -201 + p. Calculate the remainder when 123 is divided by g.
12
Let o be ((-36)/(-21))/3*7. Let x(v) = 2*v**2 - 8*v + 1. Let n be x(o). What is the remainder when 62 is divided by (5 - -16*n) + 0?
20
Let s be (-4)/(-30) + 1825/375. Suppose 2*h - 363 = 5*q, 2*q + 717 = s*h - 180. Suppose -h = -7*d - 74. What is the remainder when 58 is divided by d?
13
Suppose f - 1559 = -4*b, 0*b - f = -2*b + 787. Suppose 8*x - b = -119. Calculate the remainder when x is divided by 17.
0
Let q = 67 - 46. Suppose -5*r + 104 - 29 = 0. Calculate the remainder when (-6)/9 + 602/q is divided by r.
13
Suppose -2*y = -25*m + 21*m - 402, -5*m = -2*y + 402. Suppose -3*a + 5*x + y = 0, 3*a - 9*x + 5*x = 204. What is the remainder when a is divided by 20?
12
Let g be ((-21)/(-3) + -3)*(-390)/12. Let l = -86 - g. Calculate the remainder when l is divided by 23.
21
Suppose 2*k + 2*l = 240, 2*k - k + 5*l - 120 = 0. What is the remainder when k is divided by 41?
38
Let s = -6903 - -6955. Calculate the remainder when 2284 is divided by s.
48
Let m = -88 - -97. Let r(d) = d**3 - 11*d**2 + 23*d - 22. Calculate the remainder when 56 is divided by r(m).
10
Let v(d) = d**2 + 69*d + 31. What is the remainder when v(13) is divided by 11?
8
Suppose -r - 5*t - 530 = -570, 5*r + t - 56 = 0. Let n be (-7 + 0)/((-2)/4). Let v = -10 + n. What is the remainder when r is divided by v?
2
Suppose 2*h + 5 - 45 = 2*p, -2*h = 4*p - 64. Let n(w) = 18*w**3 + 6*w**2 + 20*w. Calculate the remainder when n(1) is divided by h.
20
Let f(r) = 2*r - 13. Suppose -4*s - 12 = 0, 0 = -3*i - 0*i + 2*s + 36. Suppose -i*m + 257 = -413. Calculate the remainder when m is divided by f(10).
4
Suppose 0 = 3*w - q - 1515, 0 = -4*w - 8*q + 5*q + 2007. Calculate the remainder when w is divided by 122.
16
Let w be ((-6)/(-4))/(234/24 + -9). Suppose 5*j = -9*k + 4*k + 680, w*k + 393 = 3*j. What is the remainder when j is divided by 17?
14
Suppose -k = 5*k - 24. Suppose 0 = 5*b + 20, -3*p - k*b + 265 = -2*b. Calculate the remainder when p is divided by 24.
19
Suppose z = 5, -5*z = 3*u - 4*z - 92. Let d(k) = k**2 + 113. Suppose -3*s = -a + 6*a, -4*a = 2*s. What is the remainder when d(a) is divided by u?
26
Let n(o) = -157*o + 1205. What is the remainder when n(-14) is divided by 155?
148
Let d(u) = u**2 - 9*u + 28. Let a = -22 + 17. Let p be (-10)/a - (3 - 6). Calculate the remainder when 15 is divided by d(p).
7
Calculate the remainder when 393 is divided by 130 - (6/4 + (-18)/(-4) + -2).
15
Suppose -5*a = -20 + 10. Suppose 129 = a*m + 5*y, -y + 308 = 5*m - 3*y. What is the remainder when m is divided by 8?
6
Suppose 0 = -180*z + 161*z + 418. Let k = 20 + -16. Calculate the remainder when z is divided by k.
2
Suppose -3*p + 276 = -7*p. Let z = p + 73. Suppose -z*f + 407 = -33. What is the remainder when f is divided by 28?
26
Suppose -14184 = 109*l - 127*l. What is the remainder wh