the remainder when 982 is divided by q?
162
Let n = -412 + 728. Calculate the remainder when 1228 is divided by n.
280
Suppose 9*o - 3*x + 966 = 11*o, -3*o = -2*x - 1436. Calculate the remainder when o is divided by 123.
111
Suppose -34 = -7*u + 43. Suppose -24*q + u*q + 65 = 0. Suppose 0 = -q*m - 53 + 188. What is the remainder when 76 is divided by m?
22
Let b(r) = -11*r + 7. Let a be b(2). Calculate the remainder when ((25/a)/(-5))/((-2)/(-132)) is divided by 12.
10
Suppose -13*o - 54 + 821 = 0. Let b(a) = -a**3 - 8*a**2 - 5*a + 45. Calculate the remainder when o is divided by b(-7).
28
Let w(g) = -8*g + 1. Let o(q) = -2*q - 11. Let s = 64 - 69. Let a be o(s). What is the remainder when w(a) is divided by 2?
1
What is the remainder when (11 - (2079/(-22))/9)*408/1 is divided by 65?
62
Let p = -77 - -79. Suppose 20 = 4*i, -p*j + 2*i = j - 125. What is the remainder when j is divided by 16?
13
Suppose -2*p + 3*n + 277 = 0, 2*n = -0*p + 2*p - 274. Let d(x) = 28*x**2 - 27*x + 34. Calculate the remainder when p is divided by d(1).
29
Suppose 0 = -5*l + 18 + 37. Suppose 3*k - 29 = -4*b, 1294 = -4*k - 3*b + 1335. Calculate the remainder when k is divided by l.
0
Let l = 340 - 336. Let p = 20 + l. What is the remainder when 209 is divided by p?
17
Suppose 14 = -19*p + 1526 - 201. Let m(c) be the second derivative of -c**4/12 + 7*c**3/6 + 4*c**2 - 2*c. Calculate the remainder when p is divided by m(6).
13
Suppose u + 3*n = 24, 0 = 2*u - 18*n + 15*n - 3. Suppose 249 = 5*v + u. Suppose 2*s + 376 = 6*s. What is the remainder when s is divided by v?
46
Suppose -151*z + 363 + 469 = -2490. Let a(j) = j**3 - j**2 + 9*j + 6. What is the remainder when a(8) is divided by z?
20
Suppose 5*w - 331 = -s - 126, -w + 22 = 4*s. What is the remainder when 921 is divided by w?
39
Let w = -58 + 107. Calculate the remainder when w is divided by 630/28*(-24)/(-60).
4
Suppose 0 = 3*w - 11*v + 16*v - 90, 30 = w + 2*v. Let x(l) = -2*l**3 - 6*l**2 + 6*l - 3. Calculate the remainder when x(-6) is divided by w.
27
Suppose -34 = -d + 5*s, 3*d = 8*d + 3*s - 30. Suppose 644 = -d*l + 1994. What is the remainder when l is divided by 51?
48
Let p = -26030 - -26388. What is the remainder when 7519 is divided by p?
1
Let j = 109 - 52. What is the remainder when j is divided by (-85)/(-9) + 10 + 564/(-54)?
3
Suppose -23*m = -25*m + 2*n + 132, 0 = 5*m - 2*n - 345. Let z = 55 - 38. Calculate the remainder when m is divided by z.
3
Let z(t) = t**3 + 27*t**2 + 8*t - 41. Let c be z(-27). Let y = 268 + c. What is the remainder when 21 is divided by y?
10
Let w be 2*((3 - 4) + -2 + 4). Suppose -w*q - m = -64, q - 126 = -3*q - 3*m. Calculate the remainder when 261 is divided by q.
30
Let c = 1329 - -52. Suppose -8*p + 91 = -c. What is the remainder when p is divided by 62?
60
Let t(v) = -v**3 + 19*v**2 + 44*v - 29. Let b = 70 + -49. Suppose 8*p - 4*p = 188. Calculate the remainder when p is divided by t(b).
8
Let h = 42291 - 41779. Calculate the remainder when h is divided by 57.
56
Let k = 233 + -569. What is the remainder when 128 is divided by (1/(-3))/(8/k)?
2
Let i = -36714 - -38107. What is the remainder when i is divided by 43?
17
Let q(c) = -c**3 - 6*c**2 - 7*c - 4. Suppose 7*t = 4*t - 15. Let k be q(t). What is the remainder when 29 is divided by ((-150)/9)/(-1) + 2/k?
12
Let p be -61*3*(4 + 13/(-3)). Suppose 0 = -x + p + 27. Let u = x - 67. Calculate the remainder when u is divided by 5.
1
Suppose 1002*x - 993*x - 108 = 0. Calculate the remainder when 82 is divided by x.
10
Let y = -38524 + 39176. Calculate the remainder when y is divided by 119.
57
Suppose -18*j + 84*j - 1329 - 1113 = 0. What is the remainder when 410 is divided by j?
3
Suppose 10*c + 6 = 7*c, -780 = -4*a + 2*c. What is the remainder when a is divided by (-4)/(-6) + (-444)/(-9)?
44
Let m = -10316 + 10585. Calculate the remainder when 972 is divided by m.
165
Suppose 792*l - 758*l = 1462. Suppose -8 = 2*b + 4*q, 0*b + 4*b = -4*q. Suppose 24 = b*w + 4. What is the remainder when l is divided by w?
3
What is the remainder when (3/(-2))/((-2)/304) is divided by (-4)/(-24)*-3 - (-651)/14?
44
Suppose 0 = 2*g + 2*j - 3136, 4*g = 135*j - 138*j + 6278. What is the remainder when g is divided by 158?
152
Suppose d = s + 110, -216 = -2*d + 5*s - s. Suppose -d = -7*m + 112. Suppose 215 = q - 2*h, 2*h - 3 = h. What is the remainder when q is divided by m?
29
Let n = 16 - 17. Let x(y) = -100*y + 2. Let g be x(6). What is the remainder when 87 is divided by (g/(-39))/(n/(-3)*2)?
18
Let s(l) = 4*l + 2. Let y be s(4). Let o = -223 + 225. Suppose -o*j + 3*x + y = -x, 4*x - 17 = -5*j. What is the remainder when 6 is divided by j?
1
Let o(b) = -2*b**2 - 40*b - 20. Let l be o(-11). Suppose v + 2*z = -0*v + 58, 0 = -3*v - 4*z + l. What is the remainder when v is divided by 11?
7
Let b be (-4)/(24/(-9)) - (-14)/4. Let d = b + -27. Let r = d + 53. What is the remainder when r is divided by 12?
7
Let h = 362 + -357. Suppose 4*i - 3*o - 494 = -i, 0 = -h*o + 10. Calculate the remainder when i is divided by 26.
22
What is the remainder when 384 is divided by (-196)/(1*8/12*(-18)/6)?
90
Suppose 5*r + 3*z - 145 = 0, 2040*z - 70 = -2*r + 2038*z. Calculate the remainder when ((-3)/3)/((-2)/124) is divided by r.
2
Suppose 0 = 2*h - 115 + 19. Suppose t = o - 8, 5*o = 2*t - 0*o + 19. What is the remainder when (-2 + 3)*(197 + t) is divided by h?
46
Let k(c) be the second derivative of -c**5/20 - c**4/3 + 2*c**3 + 3*c**2/2 + 2*c. Let f be k(-6). Calculate the remainder when 71 + 3/(-2 + f) is divided by 20.
14
Let g be (-4)/84*-1599 - (-2)/(-14). What is the remainder when 225 is divided by (-4)/((-4)/g*4)?
16
What is the remainder when (25 + 269)*(-8)/(-12) is divided by 79?
38
Suppose 1043 + 666 + 1516 = 15*w. What is the remainder when 216 is divided by w?
1
Let d(n) = -3*n**2 + 204*n + 229. Calculate the remainder when 2830 is divided by d(69).
14
Suppose -138 + 2756 = 5*i + o, 3 = o. Suppose i = 5*y + 103. Let s = y - 65. What is the remainder when s is divided by 4?
3
Let q(l) = 2*l**3 + 52*l**2 - 68*l - 13. What is the remainder when q(-27) is divided by 61?
60
Let r = -905 + 973. Calculate the remainder when 89 is divided by r.
21
Suppose 190*k = 189*k + 39. What is the remainder when 2338 is divided by k?
37
Suppose 2*b - 548 = a - b, b = 4*a + 2137. Calculate the remainder when 71 is divided by (-12874)/a + -2*2/26.
23
Suppose -55 = -5*q - 5*j - 0, -3*q + 3*j = -15. Suppose 0 = -q*k + 231 + 33. What is the remainder when k is divided by 13?
7
Let m = 8 + -5. Suppose -3*n = -2*o, -3*o - 1 = -m*n + 2. Calculate the remainder when (2/o)/(4 + 763/(-189)) is divided by 6.
0
Let d = -8 - -75. Suppose 15 = -3*i - 0*i, -o = i - 125. What is the remainder when o is divided by d?
63
Let w = -15 + 17. Suppose 0 = i - w*v - 351, v - 2*v + 1088 = 3*i. Calculate the remainder when i is divided by 33.
31
Let w(s) = -5*s - 20. Let c be w(13). Let o = -47 - c. Calculate the remainder when 112 is divided by o.
36
Let s = 744 + -283. What is the remainder when s is divided by 39?
32
Let t = -39151 + 39286. Calculate the remainder when 395 is divided by t.
125
Calculate the remainder when 55 + -51 - -1*(148 - -1) is divided by 47.
12
What is the remainder when (-192717)/(-1463) + (-6)/(-22) is divided by 83?
49
Calculate the remainder when (5/2 + -2 - 1)/(12/(-8904)) is divided by 71.
16
Let j = -3453 + 3890. What is the remainder when j is divided by 106?
13
Let s = -112 + 171. Suppose -90 = -s*g + 54*g. Let j = -31 - -38. Calculate the remainder when g is divided by j.
4
Let r(l) = l**2 + 6*l - 57. Let b be r(-11). What is the remainder when 120 is divided by 2/8*4 - (-32 - b)?
27
Let k(a) = -9*a - 10 - 2 - 2*a + 22. What is the remainder when k(0) is divided by 10?
0
Suppose 333*o = 340*o - 1085. Suppose 4*p + 19*j = 18*j + 605, p + 4*j = o. Calculate the remainder when p is divided by 8.
7
Let k(q) = 22*q + 153. Let p(a) be the first derivative of 2*a**3/3 - 5*a**2/2 + 4*a + 10. Calculate the remainder when k(-6) is divided by p(3).
0
Suppose -2*h + p = -148, -3*h - p + 10 + 217 = 0. Suppose -h*a = -54*a - 357. Calculate the remainder when 167 is divided by a.
14
Suppose -224*r + 222*r - y = -25, 1 = -r + y. Calculate the remainder when 828 is divided