1.
11
Suppose 3124 = 4*d - 4*f, -5*f - 38 = -28. What is the remainder when d is divided by 34?
31
Let d(r) = 33*r - 153. Suppose 4*i + 4*q = 488, -8*i - 3*q = -3*i - 618. What is the remainder when i is divided by d(6)?
36
Suppose 101*k + 54*k - 106891 = 16*k. Let s(o) = 13*o**2 - o. Calculate the remainder when k is divided by s(-1).
13
Let v(c) = 3*c - 3. Let m be v(2). Suppose -5*d + 13 = -5*j - 7, -m*d + 32 = j. Calculate the remainder when 139 is divided by 12/d*84/4.
27
Let f(h) = -h**2 + 26*h + 29. Let k be f(27). Suppose -89 + 231 = k*c. Calculate the remainder when 280 is divided by c.
67
Let r = 135 + -133. Suppose q + 145 = r*v + 3*v, -40 = -v - 2*q. Calculate the remainder when 89 is divided by v.
29
What is the remainder when 2*(2/((-6)/(-537)))/(-8 - -10) is divided by 54?
17
Suppose 0*c - 2*c - 5*p - 717 = 0, -1059 = 3*c + 2*p. Let d = c - -438. What is the remainder when d is divided by 24?
15
Suppose 2*x - 7158 = u, -2325*x + 2323*x - 5*u + 7182 = 0. Calculate the remainder when x is divided by 32.
29
Suppose -p = 4*q - 1363, -1363 = -p + 41*q - 36*q. What is the remainder when p is divided by 124?
123
Let t = 46 + -39. Let f(o) = 4*o**2 + 8*o + o**2 + 16 + 8*o - t*o**2. What is the remainder when 59 is divided by f(8)?
11
Suppose 360*i = 366*i + 30. What is the remainder when 3 is divided by i/10*-14 - 6?
0
Let j(v) = 216*v - 1254. Let l = 354 - 221. What is the remainder when l is divided by j(6)?
7
Let q = 50 + -51. Let h = -41 - -65. What is the remainder when h is divided by q/2*(-2 + -24)?
11
Suppose 4*f = -11453*n + 11438*n + 1013, -167 = -f + 2*n. What is the remainder when f is divided by (-2 - 0)*(-41)/2?
33
Suppose 4833 = 143*m - 887. Calculate the remainder when m is divided by 0 + -3*(-28)/6.
12
Let s be (-2*(-28)/(-6))/((-48)/1656). Suppose 2*k = 4*z + s, 5*k - 470 - 330 = 5*z. What is the remainder when k is divided by 50?
9
Suppose -3*f + 4*k = -1158, 37*f + 4*k - 772 = 35*f. Calculate the remainder when f is divided by 126.
8
Let y be (-8)/36 - 64/36. Let w be ((-3)/y)/((-8)/(20352/18)). Calculate the remainder when 5/(-35) + w/(-14) + 1 is divided by 9.
7
Let i = 6 - -36. Suppose 7*s + 36 = 13*s. Suppose r = -x + s*x - 26, 2*r = -3*x + 13. What is the remainder when i is divided by x?
2
Let t = 220 - 217. Suppose 2*n = -t*n + 170. What is the remainder when 268 is divided by n?
30
What is the remainder when ((-11534)/(-6) - -8) + (-6)/(-9) is divided by 69?
68
Let w = -44 - -68. Let y = 2765 + -2722. Calculate the remainder when y is divided by w.
19
Let i(c) = 2*c**2 - 2*c + 2. Let o be i(2). Suppose -228 = o*z - 12*z. What is the remainder when z is divided by 11?
5
Let x(z) = 0 + 2 + 9*z**2 + 10*z + 3 - z**3. Let g be x(10). What is the remainder when 8 is divided by 25/g + 1 + -1?
3
Let c(z) = -11*z**2 + 102*z - 67. What is the remainder when 1890 is divided by c(7)?
54
Let w(z) = -33*z + 17. Let y be w(8). Let c = y - -387. Suppose -4*m + 316 = 2*j - 3*j, c = 2*m + 4*j. What is the remainder when m is divided by 21?
15
Let c(r) = 111*r**2 + 2*r + 1. Let q be c(-1). Let x = 234 - q. What is the remainder when x is divided by 37?
13
Let c = 97 + -9. Suppose -87 = -3*s - 3*h, 3*s - 353*h - 105 = -350*h. Calculate the remainder when c is divided by s.
24
Calculate the remainder when 691 is divided by (-28)/49 - (-18330)/546.
31
Suppose -3*s + 2*h - 3 = -5, -1 = -3*s + h. Let x(k) = -k**2 - 7*k - 4. Let m be x(-6). Calculate the remainder when m*(-21)/(-24)*(16 + s) is divided by 16.
12
Let a = 6572 - 5153. What is the remainder when a is divided by 461?
36
Suppose -131 = -k - 0*v + 2*v, 634 = 5*k - 3*v. Let b(r) = r**3 + 21*r**2 + 5*r + 119. Calculate the remainder when k is divided by b(-21).
13
What is the remainder when -9*((-55)/10)/((-42)/(-1148)) is divided by 23?
19
Let u(x) = 92*x - 351. Calculate the remainder when 267 is divided by u(4).
12
Suppose 0 = -3*g + 4*s + 64, -g - 4*g - 4*s + 64 = 0. Let x be 2/3 + (-60)/9. Calculate the remainder when 8/x*(-744)/32 is divided by g.
15
Let a = -100 + 99. What is the remainder when (9/(-6))/(a/84) is divided by 32?
30
Let l = 264 - 206. Let h = -31 + l. Calculate the remainder when 71 is divided by h.
17
Let f = 9 + -7. Let p(i) = 19*i + 96. Let g be p(-5). Calculate the remainder when 106 is divided by -3 + (g - -2) - (-110)/f.
51
Suppose 0 = 19*n - 21*n + 32. Suppose 18*j - 20*j + 370 = 0. Let w = -107 + j. Calculate the remainder when w is divided by n.
14
Let z(q) = -43*q - 27. Let y be z(-24). Suppose 40*o = y + 1635. What is the remainder when o is divided by 10?
6
Let j = 5219 + -2822. Calculate the remainder when j is divided by 160.
157
Let f(k) = -6*k**2 - 69 + 14*k**2 + 2*k - 7*k**2. Let p = 66 + -39. What is the remainder when p is divided by f(-10)?
5
Let j be ((-244)/(-8) + 3)/((-2)/(-4)). Let b = 163 + j. Calculate the remainder when b is divided by 8.
6
Suppose 0*x + 20 = 5*x. Suppose -6*j + 5*y + 115 = -j, 0 = j + 4*y + 2. Let s = j - x. Calculate the remainder when 81 is divided by s.
11
Let g be (-54)/(-7) + 0 + 4/14. Suppose -g*i = -0*i - 1024. Suppose -3*f + 7*f = i. Calculate the remainder when f is divided by 11.
10
Let t(n) = n**2 - 27*n + 173. Suppose -4*o - 3*b + 43 = 0, -o + 3*b = -2*o + 22. Suppose -20 + o = -q. Calculate the remainder when q is divided by t(18).
2
Suppose 80*z - 3684 + 644 = 0. Calculate the remainder when 1783 is divided by z.
35
What is the remainder when (-9990)/(-11) + 6272/352 + -18 is divided by 198?
116
Let v = 2288 + -2148. What is the remainder when 262 is divided by v?
122
Let d(c) = -c**2 - c + 2. Let o be d(4). Let y = o + 25. Suppose -2*v + 35 = 3*l, -4*v - y = 2*l - 17. What is the remainder when l is divided by 7?
1
Let g(l) = -1153*l - 601. Calculate the remainder when g(-6) is divided by 81.
80
Suppose 0 = 36*z - 633348 + 175860. What is the remainder when z is divided by 205?
203
Let m(f) = 23*f**2 + 258*f + 259. What is the remainder when 892 is divided by m(-1)?
4
Let p be ((-81)/4)/((-2)/(96/18)). Calculate the remainder when 1550/65 + 4/26 is divided by (4/(24/2))/(2/p).
6
Let c = 2874 + -2819. Calculate the remainder when 65 is divided by c.
10
Let q = 20 + -17. Suppose -2 - q = -h. What is the remainder when (4/(-20))/(21/(-1260)) is divided by h?
2
Let o be (-143)/(-3)*(-52 + 46). Let b = o - -300. Calculate the remainder when 96 is divided by b.
12
Calculate the remainder when -4 - -609 - (33 + -46) is divided by 90.
78
Suppose 133 = 20*m - 3330 - 3757. What is the remainder when m is divided by 75?
61
Let v = 11586 - 11514. Suppose -4*w + 29 = l, -3*l - 2*l + 5*w + 120 = 0. What is the remainder when v is divided by l?
22
Let s = -16996 - -17030. Let r = 27 - -74. Calculate the remainder when r is divided by s.
33
Suppose -5*f + 5*c + 75 = 0, 5*f - 1294 = 3*c - 1217. Calculate the remainder when ((-8)/(-10))/(2/115) is divided by f.
14
Let t be 21*30/27*-3. Let u = -56 - t. Suppose 3*v - 78 = 3*s, -5*v + 2*s + 144 = 11. Calculate the remainder when v is divided by u.
13
Suppose -2831 = -v - 3*u, -82*v + 2*u + 11422 = -78*v. Calculate the remainder when v is divided by 21.
17
Suppose 5*k = -5*n + 905, -3*n - 5*k = -460 - 91. What is the remainder when 530 is divided by n?
176
Suppose -89 = 13*t - 11. What is the remainder when 85 is divided by (-8)/t*1530/120?
0
Suppose 3*q + 27 = 5*d + 1, 4*d + 5*q - 43 = 0. Let x = 13 - d. Let o(w) = 6*w - 24. Calculate the remainder when o(x) is divided by 9.
3
Calculate the remainder when (6 + 7/(-1) - 109)*-3 is divided by 78.
18
Let z = -6 - -16. Let p = -246 + 250. Suppose 0 = -4*b + 3*v + 235, 0*b + 62 = b - p*v. What is the remainder when b is divided by z?
8
Let r = 19 + -16. Suppose 3*o - 4*o + r = 0. What is the remainder when 29 is divided by 69/9 - o/(-9)?
5
Let n = 325 - 324. Calculate the remainder when 17/(((-1)/n)/((-20)/5)) is divided by 19.
11
Suppose -8 = d - 5*d. Suppose 352 = 24*s - d*s. Let k(q) = 23*q - 2. What is the remainder when k(2) is divided by s?
12
Suppose 0 = 95*a - 8062 - 18253. What is the remainder when a is divided by 205?
72
Let c = 101 + -64. Suppose 0 = 2*v + 54 - 0. Let i(n) = n**3 + 27*n**2 + n + 41. What is the remainder when c is divided by i(v)?
9
Suppose -g + 3 = -4*y, 2*g - y = -3*g + 34. Suppose 4