der when j is divided by 7.
1
Suppose -1136 = 114*s - 130*s. What is the remainder when 4683 is divided by s?
68
Let z = -44 + 86. Let u = z + -92. What is the remainder when 59 is divided by 20/u + 62/5?
11
Suppose 12 = 2*f - 4*g, 0 = -2*g + 5*g + 12. Suppose -w - 81 = 4*i, 2*i + 2*i = -3*w - 83. Calculate the remainder when 77 + f*(-4)/i*5 is divided by 19.
18
Suppose 41*g = 39*g - 3*j + 2504, 5*g - 6274 = -4*j. What is the remainder when g is divided by 86?
54
Suppose -5948 = -21*f - 341. Let h = f - 204. What is the remainder when h is divided by 11?
8
Let q(l) = -l**3 - 18*l**2 - 13*l + 68. Let w be q(-17). Suppose 42*s + 27*s - 7452 = w. Calculate the remainder when s is divided by 60.
48
Suppose -30 = -3*a + 3*x, 2*a + 13 = 4*a + 5*x. Let w = -5136 + 5186. Calculate the remainder when w is divided by a.
5
Let y = 1917 - 1425. Calculate the remainder when y is divided by 173.
146
Let p(a) = a**3 + 17*a**2 - 3*a - 47. Let d be p(-17). Suppose 275 = d*g + g. Calculate the remainder when 325 is divided by g.
50
Suppose 0 = -r + 2*d - d + 73, -d = 5*r - 353. What is the remainder when r is divided by 12/(-8)*(1 + -9)?
11
Let a = 3240 + -3196. What is the remainder when 1316 is divided by a?
40
Let d = -38296 - -38311. Calculate the remainder when 1253 is divided by d.
8
What is the remainder when 315078/408 + (-3)/12 is divided by 192?
4
Suppose 0 = -5*u, -7*c + 259 + 65 = -4*c - 5*u. What is the remainder when 18251 is divided by c?
107
Suppose i - 131 = 3*m, i = -2*m + 84 + 42. Suppose 0 = 8*o + 89 - 265. Calculate the remainder when i is divided by o.
18
Let m(z) = 5*z**2 - 12*z + 106. Calculate the remainder when 1654 is divided by m(4).
136
Let y(x) = 5*x**2 - 5*x - 21. Let v(n) = 12*n**2 - 11*n - 42. Let d(m) = 2*v(m) - 5*y(m). What is the remainder when 80 is divided by d(0)?
17
Suppose b = -p + 27, -140*b - 27 = -141*b + p. What is the remainder when 259 is divided by b?
16
Let s(a) be the first derivative of 3*a**2/2 + 32*a - 1425. Let q(u) = -u - 12. Let x be q(-6). Calculate the remainder when s(x) is divided by 3.
2
Let v be (10/15)/((-4)/1398). Let l = -194 - v. Calculate the remainder when l is divided by 16.
7
Suppose o + 2*b - 40 - 2 = 0, 123 = 3*o + 3*b. Suppose 4*l = -o - 0. Calculate the remainder when ((-475)/l)/(2/4) is divided by 32.
31
Suppose 0 = -2*t - 3*f + 27, 26*t = 21*t - 3*f + 72. Calculate the remainder when 539 is divided by t.
14
Let s = -4328 + 4334. Suppose 2*a - 108 = -u - 22, -4*u = -2*a + 106. Calculate the remainder when a is divided by s.
3
Let k = -4848 + 5233. Calculate the remainder when k is divided by 30.
25
Let k(b) = 9*b + 2. Let l = 1656 + -1646. What is the remainder when k(5) is divided by l?
7
Suppose -2*m + 4*s = -178, -3*s - 445 = -5*m - 42. Calculate the remainder when 136 is divided by m.
59
Let t = 183 + -162. Calculate the remainder when 87 is divided by 78/t + 3/(21/2).
3
Let z be (-3575)/(-39) - (-1 - 2/(-3)). Suppose 84*q + 64 = z*q. Suppose w + f = 27, -w + 4*f + 7 = -0. What is the remainder when w is divided by q?
7
Let h(o) = -13*o + 31. Let x be h(2). Suppose -22 = -6*b + 5*b + x*f, -4*b - f = -25. Calculate the remainder when 34 is divided by b.
6
Suppose -39*m + 186 + 342 = -23*m. Calculate the remainder when 804 is divided by m.
12
Let w = -957 + 942. Let i(m) = -25*m - 311. Calculate the remainder when 126 is divided by i(w).
62
Suppose 137 - 632 = 5*w. Let z(q) = 37*q**2 + 4*q + 4. Let i be z(-2). Let v = i + w. What is the remainder when v is divided by 24?
21
Suppose 2 = f - 2, 4*f = -4*x + 252. Let h = 15866 + -15836. What is the remainder when x is divided by h?
29
Suppose 61*n = 55*n - 90. Let o(r) = -12*r - 79. What is the remainder when o(n) is divided by 21?
17
Suppose 47 = i - 5*s, -13*i - 3*s - s = -542. Let k = -9 - -9. Suppose k = -3*x + 3*v + 21, x + 3*v = 3*x - 10. Calculate the remainder when i is divided by x.
9
Let r be 2 + (4 - 0 - 3). Calculate the remainder when 37 is divided by -3*r/9 + (-2 - -19).
5
Suppose -1258 = 2*c - 39*c. Calculate the remainder when 459 is divided by c.
17
Calculate the remainder when 1047/12*12/3 is divided by (-194)/(-6) + ((-72)/30)/((-171)/190).
34
Let r = -2075 + 2114. Let u(m) = 2*m - 18. Calculate the remainder when r is divided by u(13).
7
Let v(w) = 1100*w**3 - 3*w**2 - 2*w + 5. Let j be v(1). Suppose 0 = -0*h - 5*h - x + 1094, 5*h = 5*x + j. What is the remainder when h is divided by 11?
10
Let l(p) = -4*p - 23. Let j be l(-5). Let q be j + 3 + 1 + 12 + 1. Suppose -9*s - 80 = -q*s. Calculate the remainder when 63 is divided by s.
15
Let w(l) = -2*l**3 + 4*l**2 - 25*l - 40. What is the remainder when w(-6) is divided by 26?
10
Suppose 4*j = 12*j - 35 - 229. Calculate the remainder when 222 is divided by j.
24
Suppose 12224 = 364*m - 173*m. Calculate the remainder when m is divided by 44.
20
Let a(d) = 5 - 2*d - 3 + 72*d**2 - 2 + 0*d. Calculate the remainder when 348 is divided by a(1).
68
What is the remainder when 616 is divided by (4 + 2464/66)/(1 - (-4)/(-6))?
120
Let l be 10 + -2 + 4 + 6. Suppose -l - 14 = -4*a. What is the remainder when 114 is divided by a?
2
Let m be (-372)/20 - (-9)/15. Let w = 72 + m. What is the remainder when 160 is divided by w?
52
Suppose -3*l = u + 4*u - 1871, -4*l - 4*u = -2500. Calculate the remainder when l is divided by 92.
75
Let u(m) = 212*m**2 + 136*m - 392. What is the remainder when u(3) is divided by 46?
38
Let t be 168/(-4)*(-13 - -2 - -5). Suppose -t = 15*u - 22*u. Calculate the remainder when 95 is divided by u.
23
Suppose 3*z = -6, 2*z + 222 = -2*y - 112. Calculate the remainder when 217 is divided by 2/(-5) + (-6501)/y.
22
Let o = -374 + 389. Suppose -o*y + 1321 = -149. Calculate the remainder when y is divided by 18.
8
Suppose 362*f - 343*f = 3363. Calculate the remainder when 398 is divided by f.
44
Suppose 5*c - 1203 = -z, -586 = -z - 4*c + 624. Calculate the remainder when z is divided by 175.
13
Let j = -3386 - -3407. Calculate the remainder when 35 is divided by j.
14
Suppose -g + 131 = -p, 0*g - 5*p = -g + 147. Let a = -85599 - -85631. What is the remainder when g is divided by a?
31
Let q = -4551 + 4640. Calculate the remainder when 343 is divided by q.
76
Let h(b) = -b**3 + 4*b**2 + 6*b + 4. Suppose -10 = -2*x + 7*x. What is the remainder when 125 is divided by h(x)?
13
Suppose 5*j - 271 = 60*n - 56*n, 3*j = 5*n + 160. What is the remainder when 1592 is divided by j?
52
Suppose -111*y + 12570 - 5468 = -7994. Calculate the remainder when 3260 is divided by y.
132
Suppose 0 = -125*h + 128*h - 51. Let r(m) = m**2 + 1. Let a be r(-1). Calculate the remainder when -4 + 31 + 4 + a is divided by h.
16
Let w = 1299 - 1152. What is the remainder when 879 is divided by w?
144
Let l = 4116 + -4009. Calculate the remainder when l is divided by 35.
2
Let p = -57 - 144. Let j = p - -237. What is the remainder when 47 is divided by j?
11
Let v(q) = -24*q + 106. Let z be v(5). Let w(x) = 2*x**2 + 18*x - 65. What is the remainder when w(z) is divided by 23?
6
Suppose 0 = 3*j - 92 + 20. What is the remainder when 1/((20/(-10))/1644*-6) is divided by j?
17
Let p(f) = -f**3 + f**2 + 23*f + 71. What is the remainder when 2134 is divided by p(-4)?
10
Suppose -657885 = 2441*g - 2502*g. Calculate the remainder when g is divided by 62.
59
Let w = -20 - -36. Suppose 14*u = 762 + 344. Calculate the remainder when u is divided by w.
15
What is the remainder when 114 is divided by 55*12/(-27)*3/(-4)*3?
4
Let j(l) = -l**3 - l**2 + 2*l + 4. Let f be j(0). Suppose 8*u - 4*u - 360 = -f*m, -155 = -2*u + 3*m. Calculate the remainder when 166 is divided by u.
81
Let u = 3810 + -3780. Calculate the remainder when 178 is divided by u.
28
Let d = 10097 - 9962. Calculate the remainder when d is divided by 47.
41
Suppose -4*u = -5*n - 164, 0 = -2*n + u - 3*u - 62. Let b = 1324 + -1322. What is the remainder when 23 is divided by (1 - (b + -1)) + n/(-8)?
3
Suppose 0 = -311*a + 17767 + 81131. What is the remainder when 1254 is divided by a?
300
Calculate the remainder when (-486)/135 + (1 - -2) - (-6676)/10 is divided by 17.
4
Let b = -7832 - -17235. What is the remainder when b is divided by 45?
43
Let b = 40 + 42. Let s = b + -54. What is the remainder when 132 is divided by s?
20
Let j(s) = 2*s**3 - 