.
7
Suppose 29*u - 257 = 18*u + 337. Calculate the remainder when 67 is divided by u.
13
Suppose -4*g - 5*x = -19, x + 7 + 53 = 5*g. Let t(y) = -346*y - 13419. What is the remainder when t(-39) is divided by g?
9
Let w = -2473 - -2576. Calculate the remainder when 191 is divided by w.
88
Suppose 13*o = 15*o + 12, 5*r - 363 = -2*o. What is the remainder when 897 is divided by r?
72
Let k = 2717 - 2541. What is the remainder when 492 is divided by k?
140
Let d = -10189 - -10362. What is the remainder when d is divided by 98?
75
Let v = -1087 + 1198. What is the remainder when 502 is divided by v?
58
Suppose -403 = -3*z + 4*b + 1161, -z + 524 = -4*b. Let h = z - 469. Calculate the remainder when 507 is divided by h.
48
Suppose a - 3*c = 205, -183 - 592 = -4*a + 3*c. Suppose 9*p = -146 + 587. Calculate the remainder when a is divided by p.
43
Suppose 0 = -4*w + j + 1506, j - 762 = 6*w - 8*w. What is the remainder when w is divided by 108?
54
Suppose 33 + 273 = 17*o. Let a be (-3 + 0)/((-24)/16). Suppose -f + a*f = 3. Calculate the remainder when o is divided by f.
0
Suppose 2*o + 5*c - 13 = 3, -5*c = 3*o - 19. Calculate the remainder when 0 + o + (7 - 3) + 23 is divided by 8.
6
Suppose z = -z + 10, 48 = 3*m + 3*z. Let l(w) = 2*w**2 - 10*w + 47. Calculate the remainder when l(m) is divided by 60.
59
Let t(q) = q**3 - 6*q**2 - 13*q + 9. Let z be t(8). Suppose 2*v - 3*v + z = 0. Let a = v - 14. What is the remainder when 36 is divided by a?
17
Let w = 79 + -51. Suppose -7*r + w = -3*r. Suppose 0 = 5*n + 111*k - 113*k - 92, 2*k - 8 = 0. Calculate the remainder when n is divided by r.
6
Let s = -93 - -457. Let u = 389 - s. Calculate the remainder when 81 is divided by u.
6
What is the remainder when 2380 is divided by ((-152)/(-56))/((-8)/((-560)/10))?
5
Suppose -93 + 491 = 11*z - 284. What is the remainder when 116 is divided by z?
54
Let o be 16/(-12)*(-20)/32*6. Suppose -549 = -o*w - 179. Let g = 29 + -9. What is the remainder when w is divided by g?
14
Suppose -35*k + 30*k = 4*g - 55781, -55790 = -5*k + 5*g. Calculate the remainder when k is divided by 12.
9
Let l(a) = -29*a + 1. What is the remainder when l(-3) is divided by (-46)/(1196/(-234)) - (-129)/(9/3)?
36
Let a = 3490 - 3483. What is the remainder when 692 is divided by a?
6
Suppose -18635*i + 18630*i + 910 = 0. What is the remainder when i is divided by 30?
2
Let p = -287 - -237. Let u = p + 79. Let w = 234 + -62. Calculate the remainder when w is divided by u.
27
Let b = -19 + 50. Let a = -1607 + 1648. Calculate the remainder when a is divided by b.
10
Suppose 11*f - 1393 = 4*f. Calculate the remainder when f is divided by 6.
1
Suppose 5*j - 132 = 3*m - 334, 3*j - 279 = -4*m. Calculate the remainder when 2481 is divided by m.
66
Let m be ((3 - 17) + 0)*(-3)/2. Suppose -m*r = -29*r + 424. Calculate the remainder when 96 is divided by r.
43
Suppose 17*h = 9*h + 8. What is the remainder when 106 is divided by (-2)/h*(-145)/10?
19
Let y = 805 - 731. Calculate the remainder when 430 is divided by y.
60
Suppose -32*y + 40*y = 240. Let p(t) = -1. Let r(z) = 30*z - 1. Let f(x) = 2*p(x) - r(x). What is the remainder when f(-4) is divided by y?
29
Let n(r) = -236*r - 2182. Let s be n(-9). Suppose 2*h = 2*z + 88 + 72, 240 = 3*h - 5*z. Let j = h - s. Calculate the remainder when j is divided by 47.
44
Suppose 10*j - 2782 = 31*j - 29830. What is the remainder when j is divided by 43?
41
Suppose -17*h = -20*h + 558. Suppose -5*i = -19 - h. Let w = -32 + i. Calculate the remainder when 78 is divided by w.
6
Suppose -17 + 1 = 4*u, -3*n + 76 = 2*u. Let m be (9/(-6))/((6 + -3)/6). Let w = n + m. What is the remainder when 119 is divided by w?
19
Let y = -32410 - -32569. Let h(g) = -12*g - 3. What is the remainder when y is divided by h(-7)?
78
Let o(j) = 10*j - 45. Let v be o(5). Let d(b) = -b**3 + 8*b**2 - 5*b - 6. Calculate the remainder when d(v) is divided by 7.
2
Let n = 29 - 29. Suppose -6 = -4*h - 2*q, 3*q - 3 + 0 = n. What is the remainder when 22 is divided by 100/12 - h/3?
6
Suppose u + 2*k - 17 = -2*u, 5*k = 3*u - 31. Let x(f) = -10*f + 5*f - f**3 + 10*f**2 - 3*f. What is the remainder when x(9) is divided by u?
2
Let f = -51 - -240. Let q = -135 + f. What is the remainder when q is divided by 8?
6
Let h = 8293 + -8266. Calculate the remainder when 522 is divided by h.
9
Suppose -8*p + 423 + 4249 = 576. Calculate the remainder when p is divided by 170.
2
Let w be (10 + -1)/((-4)/220). Let z = w + 775. Suppose 0 = 4*b + 3*b - z. Calculate the remainder when 157 is divided by b.
37
Suppose q = 4*l - 1767, -2986*l = -2983*l - 4*q - 1348. What is the remainder when l is divided by 35?
20
Let q(c) = -c. Let l(o) = 6*o + 8. Let z(j) = -3*l(j) - 15*q(j). Let i be z(10). Let y = -18 - i. What is the remainder when 106 is divided by y?
34
Suppose -2*b + 2*v + 18 = -2, 5*b = -3*v + 18. Let o be ((48/4)/(-4))/((-2)/b). What is the remainder when o - -34 - (-2 - 2) is divided by 10?
7
Let q be (430 + (-1 - -2))*14/(-14). Let d = 268 + -106. What is the remainder when d is divided by q/(-13) - 12/234*3?
30
Let n be ((-130)/(-25) - 4)/(6/15). Suppose -k + n*u = -30, k + 45 = 5*k + 3*u. Calculate the remainder when k is divided by 9.
6
Let a = -9064 + 9195. Calculate the remainder when 1175 is divided by a.
127
Suppose -259*o + 13940 = -80*o + 3200. Calculate the remainder when o is divided by 6.
0
Let x(r) = -5*r - 4. Let l(s) = s**3 - 6*s**2 + 3*s - 27. Let b be l(6). What is the remainder when x(-6) is divided by 4 + (1 - b)/2?
8
Suppose -20*l + 1981 + 359 = 0. Suppose 0 = -9*r + 171 + l. What is the remainder when 95 is divided by r?
31
Let a be (-620 - -29) + 4/(-1)*1. Let h = a - -639. What is the remainder when h is divided by 17?
10
Suppose -30*p + 24*p + 12 = 0. Suppose i - 52 = -0*i + 3*g, 0 = -2*g - p. What is the remainder when i is divided by 34?
15
Suppose 12085*g + 12444 = 12136*g. What is the remainder when 1103 is divided by g?
127
Let p = 91 + -63. Let t = p - -7. Let w = -843 + 982. Calculate the remainder when w is divided by t.
34
Let s = 112 - 286. Let a = 214 + s. Calculate the remainder when a is divided by 16.
8
Suppose -6*o + 135 = -69. Let m = 257 + -22. What is the remainder when m is divided by o?
31
Calculate the remainder when 284 is divided by -7*428/(-34) + ((-468)/(-68) - 7).
20
Let x(w) = 46*w - 156. What is the remainder when 150 is divided by x(4)?
10
Let k be (1*-394)/((-2)/1). Let c = -167 + k. Calculate the remainder when c is divided by 10.
0
Let f be 20/(-30) - 35/(-3). Suppose -5*b + 26 = f. Suppose -4*j - 6 = 2*g - 20, -3*j - 3 = -b*g. Calculate the remainder when j is divided by 1.
0
Let t(a) = 9*a**2 - 7*a + 9. Let l be t(4). Let m = l + -99. Suppose -3*r - 261 = -5*d, -3*d - 2*d + 2*r = -259. What is the remainder when d is divided by m?
25
Let o(j) = -j**2 + 10*j + 6. Let r be o(6). Suppose 0*a + 6*a = r. What is the remainder when 66 is divided by a/((-5)/18)*(-6)/6?
12
What is the remainder when (0/(-3))/(-3) + 145 + 3709 is divided by 19?
16
Let q(j) = j**2 + 7*j. Let y be q(-8). Suppose 90 = y*r + 2*r. What is the remainder when 43 is divided by r?
7
Suppose -3*u + 3*r = -r - 22, -5*r - 30 = -4*u. Let n be (-4 + 4 - -1)*2. Suppose n*i - 111 = -i. Calculate the remainder when i is divided by u.
7
What is the remainder when (1/(-4))/(8/(-3) + 4262755/1598676) is divided by 264?
257
Suppose -2*z - 1339*f + 1341*f + 540 = 0, 5*z + 2*f = 1301. What is the remainder when z is divided by 56?
39
Let c(o) = -13*o**2 - 485*o + 72. What is the remainder when 3514 is divided by c(-37)?
214
Suppose -4*s - c = -45396, c = -2*s + 35234 - 12540. Calculate the remainder when s is divided by 24.
23
Suppose 0 = 4*f + 8, i = -2*i + 2*f - 134. Let g = 78 + i. Let a = 54 - g. Calculate the remainder when 39 is divided by a.
17
Let g = 3813 - 3739. Calculate the remainder when g is divided by 7.
4
Let n = -89 - -94. Suppose 0 = -n*x - 90 + 430. Suppose -x = -9*q + 112. Calculate the remainder when 38 is divided by q.
18
Calculate the remainder when 2697 is divided by 250/6*((-441)/(-35) + -9).
147
Suppose -9*b + 11*b - 1208 = z, 4*b - 2662 = -39*z. Calculate the remainder when b is divided by 187.
46
Let k(w) = -w**2 - 20*w - 93. Let s be k(-9). Suppose -5*v = -5*r - 75, -4*v