0. Suppose m*u - 145*u = 255. Calculate the remainder when u is divided by 22.
19
Suppose 0 = -p + k + 3*k + 735, k = p - 735. What is the remainder when p is divided by 184?
183
Let z(m) = -m**2 - 3*m + 13. Let i(g) = 3*g + 4. Let o be i(-3). Let s be z(o). Suppose 4*d = s*d + 134. Calculate the remainder when d is divided by 45.
44
Suppose 5*y + 442 + 200 = 3*b, 2*b - 427 = 3*y. What is the remainder when b is divided by 55?
44
Let v(z) = -2*z**2 + 2*z + 9. Calculate the remainder when 536 is divided by v(0).
5
Let y = -202 - -526. Let i be ((-1)/(-2))/((-9)/y). Let k(f) = f**3 + 19*f**2 + 19*f + 22. Calculate the remainder when 4 is divided by k(i).
0
Let m = -492 + 691. Suppose 0 = -4*l - 7 + m. Suppose -4*p - 139 = 4*f - 179, 4*p = -5*f + 50. Calculate the remainder when l is divided by f.
8
Let l be 4 - 272 - (1 - 5) - 2. Let q = l - -331. What is the remainder when q is divided by 17?
14
Suppose 2*q = 1 + 7. Suppose 0 = -5*n - v + 706, q*v - 130 = -n + v. Suppose -180 = -5*g + 60. What is the remainder when n is divided by g?
46
Calculate the remainder when 65 + ((-3)/18*-3)/((-16)/(-192)) is divided by (-3)/(-6) + (-142)/(-4).
35
Let s be (-1)/(0 - 1)*0/26. What is the remainder when ((-3)/12 + s)/(10/(-15320)) is divided by 78?
71
What is the remainder when (-22152)/(-20) + -22 - 2/(-5) is divided by 64?
62
Calculate the remainder when 919 is divided by -3*2/(-3)*(-2849)/(-74).
72
Suppose 5*m = 71 + 44. What is the remainder when ((-4656)/5432)/(6/(-560)) is divided by m?
11
Suppose -57 = -72*m + 70*m + 3*v, -5*v + 49 = 2*m. Suppose 3*a + 15 - 174 = 0. What is the remainder when a is divided by m?
26
Suppose 2 = -2*q + 10. Suppose 4*g - 20 = -4*f, q*g + 5 = f - 0. Suppose f*u - 22 - 23 = 0. What is the remainder when 10 is divided by u?
1
Suppose -5*v - 59*q + 64*q + 225 = 0, -4*v + 5*q + 186 = 0. Calculate the remainder when 223 is divided by v.
28
What is the remainder when (-4)/(-38) - (-20142)/342 is divided by 256/40 - (24/10 - 2)?
5
Suppose -2*y + 5 = -5*r - 1, -5*y = 5*r - 15. Suppose r = -2*a + 1 + 7. Suppose 128*f - 263*f + 675 = 0. Calculate the remainder when f is divided by a.
1
Let m = -11985 + 19264. What is the remainder when m is divided by 140?
139
Let h = 3358 + -3120. Calculate the remainder when h is divided by 11.
7
Let h = -3741 + 3831. What is the remainder when 356 is divided by h?
86
Suppose 0 = -3*a + 3*p + 162, -4*p - 492 + 582 = 2*a. Let x(t) = 11*t + 24. Let z be ((-42)/18)/(1/(-3)). What is the remainder when x(z) is divided by a?
50
Suppose 0*r = -5*r - s + 17, 0 = 5*r + 5*s - 5. What is the remainder when ((-8)/6)/(-9*(-14)/(-5103)) is divided by r?
2
Calculate the remainder when 45597 is divided by 1083/(-38)*(-10 - -8).
54
Suppose -4*y + 13821 = 6*y - 11069. What is the remainder when y is divided by 156?
149
Let h = -5394 - -5513. Calculate the remainder when h is divided by 68.
51
Suppose -2018 = -4*y - 5*r, 0 = 2*y + 2*y + 4*r - 2020. Suppose 0*w + y = 13*w. Calculate the remainder when w is divided by 27.
12
Suppose -182*o = -185*o + 15. Let a be 12/(-36) - (-134)/6. Let s = a - 6. Calculate the remainder when s is divided by o.
1
Let h be (4/(-10))/(117/30 - 4). Suppose -k = -h*m + 316 - 75, -5*m + 275 = 4*k. Suppose 2*z - 21 - 19 = 0. Calculate the remainder when m is divided by z.
19
Suppose -265*a = -159*a - 26818. Calculate the remainder when a is divided by 30.
13
Suppose 0 = -v + 2*q, 0 = -5*v - 5*q + 5 + 25. Suppose -g - v*t - t - 42 = 0, -t + 105 = -4*g. What is the remainder when (-2748)/g - (-18)/81 is divided by 8?
6
Suppose -2*i = -d + 85, 368 = 4*d + 2*i - 3*i. Let q = 134 - d. Calculate the remainder when 80 is divided by q.
39
Suppose 4*o + 40*o - 352 = 0. What is the remainder when 44 is divided by o?
4
What is the remainder when 1809 is divided by 88 + 468/(-18) + (-5)/2*-2?
0
Suppose 0 = 462*d - 459*d - 4452. What is the remainder when (d/56)/(1/8) is divided by 43?
40
Suppose -3*q + 3091 = 2467. What is the remainder when q is divided by 171?
37
Let x = -25 + 38. Suppose 0 = 10*a - x*a + 102. What is the remainder when (92/(-69) - 4/6)*-47 is divided by a?
26
Let b(s) = 9*s + 0 - 2*s - 16 - 8*s. Calculate the remainder when 83 is divided by b(-33).
15
Let a be (-1233)/(-135) - (16/30)/4. Suppose -2*m + 212 = 3*p, -p + 88 - a = -m. What is the remainder when p is divided by 25?
24
Let c = -51 + 129. Suppose 0 = 18*t + 236 + 196. Calculate the remainder when c is divided by (t/150*5)/((-2)/50).
18
Suppose 3*v - b = 87, -v + 54 - 20 = -2*b. What is the remainder when (6 + -4 - 3)*-50 is divided by v?
22
Let d be 13 + -2 + -5 + 1. Suppose f + 227 = 2*q, 2*f - d*f = 4*q - 433. What is the remainder when q is divided by 5?
2
Suppose 2 = -6*u + 4*u. Let f be (2/(-6))/u - (-248)/12. Suppose -h + 5*i = -f, -3*h = -0*i - 4*i - 96. What is the remainder when 105 is divided by h?
33
Let b(u) = 227*u - 1297. Calculate the remainder when 375 is divided by b(7).
83
Let y(p) = -2*p**3 - 180*p**2 - 360*p - 185. What is the remainder when y(-88) is divided by 496?
23
Let u(p) = -29*p - 19. Let f be u(7). Let c = f + 290. What is the remainder when c is divided by 24?
20
Suppose -5*n + 3*f = -700, 12*n - 17*n - 4*f = -665. Calculate the remainder when n is divided by 6.
5
Suppose -2*f + 25*c - 29*c + 190 = 0, -5*f - 2*c + 419 = 0. What is the remainder when 1128 is divided by f?
75
Let d(i) = -i**3 + i**2 - 3. Let j = 34 - -24. Let x = j - 61. Calculate the remainder when d(x) is divided by 9.
6
Suppose 42 = 5*m + 12. Let u be 0/(m + 0) - (-3 + 1). Suppose 4*h + 26 = 4*c - c, 3*c - u*h = 22. What is the remainder when 18 is divided by c?
0
What is the remainder when 6/(-1 + (-37)/(-34)) is divided by (-111)/(-9) + (-19)/57?
8
Let m(b) = 26*b - 3. Calculate the remainder when m(5) is divided by (-47712)/(-7455) + (-246)/(-10).
3
Let m(l) be the first derivative of l**4/4 - 7*l**3/3 + 2*l**2 - 2*l + 7. Suppose -121*x = -124*x + 231. Calculate the remainder when x is divided by m(7).
25
Let h = -21 + 21. Let t be (2 - h)/(1/(-11)). What is the remainder when 41 is divided by (2 - 1) + (-2 - t)?
20
Suppose 35*n = 50*n - 630. Calculate the remainder when 2309 is divided by n.
41
What is the remainder when 323 is divided by (48/(-36))/((-8)/996) + -3?
160
Let c be (-31 + 349)/(6/4). Suppose 413*m = 409*m + c. What is the remainder when 211 is divided by m?
52
Suppose -2*b = 5*b + 56. Let u = b + 4. Calculate the remainder when 0 + 19/(-4)*u is divided by 8.
3
Let j(z) = z**3 + 6*z**2 + 6*z - 1. Calculate the remainder when 206/14 - (48/(-28))/6 is divided by j(-2).
0
Suppose -3183 = 25*b - 6783. Calculate the remainder when 415 is divided by b.
127
Calculate the remainder when 105/2*9*220/594 is divided by 55.
10
Let g = 7 - -9. Let n = 6379 - 6377. What is the remainder when g is divided by n?
0
Suppose 2*v + 14*p = 164, -2*v - 798*p + 793*p + 200 = 0. Suppose -5*l + 22 = -188. Calculate the remainder when v is divided by l.
26
Let t = 712 - 611. Calculate the remainder when 1307 is divided by t.
95
Let q = -80 - -185. Let z = q - 101. Suppose 0*k = -5*i + k + 224, z*i - 4*k - 192 = 0. What is the remainder when i is divided by 24?
20
Suppose 165 = 7*i - 4*i. Suppose 32 = -i*c + 57*c. Calculate the remainder when 95 is divided by c.
15
Let g(u) = u**2 + 8*u - 24. Let a = 5 + -15. Let w be g(a). What is the remainder when 138/9*(-18)/w is divided by 36?
33
Let f be 7052/36 - 1/(-9). Let z = -78 + f. What is the remainder when z is divided by 30?
28
Suppose 3*i + 216 = 5*a, 23*a - 4*i = 18*a + 223. What is the remainder when 524 is divided by a?
17
Suppose -8*u = -6*u + 8*v - 112, 49 = u + 5*v. Calculate the remainder when 285 is divided by u.
33
Let q(x) = -12*x**3 + x**2 - 5*x - 6. Let b(g) = 10*g**2 + 12*g + 9. Calculate the remainder when q(-1) is divided by b(-1).
5
Suppose 3*g = -3*g + 48. Let s(m) = -m**3 + 8*m**2 + m - 3. Let r be s(g). Suppose r*l - 105 + 40 = 0. What is the remainder when 101 is divided by l?
10
Let k(f) = 167*f - 3468. What is the remainder when 360 is divided by k(21)?
9
Let y be ((-11)/(-2))/((-3)/(-12)). Let b be ((-1)/(-3) + -1)*(-28 + y). What is the remainder when (b/5)/(2/65) is divided by 7?
5
Let x = 7433 + -7426. What is the remainder when 442 is divided by x?
