 when 12/(-15) + w/45 is divided by 4.
2
Let g = 2692 + -2669. What is the remainder when 1340 is divided by g?
6
Calculate the remainder when 86 is divided by (-1 - 9/(-12))/(4 - (-401)/(-100)).
11
Suppose -1072 = 307*g - 308*g. What is the remainder when g is divided by 77?
71
Let w be ((2 - 6) + -2)/((-6)/4). Let o be (w + -1 + -3)/(-1). Let z(c) = -c**3 + 2*c**2 + 13. What is the remainder when 34 is divided by z(o)?
8
Suppose 5*j + 93 - 688 = 0. Suppose -2*d + 2*m = -34, -2*d - 64 = -6*d + 2*m. What is the remainder when j is divided by d?
14
Suppose -71*r + 538 + 1072 = -236. Calculate the remainder when 591 is divided by r.
19
Let a = -6693 - -6699. Calculate the remainder when 142 is divided by a.
4
Suppose -9*v + 55 = -35. Let b(j) = -6*j + 60. Let o be b(v). Suppose -8 = 4*x, 4*x - 13 = -3*i - o*x. Calculate the remainder when i is divided by 5.
2
Suppose 22*w = -19*w - 32*w + 85994. Calculate the remainder when w is divided by 106.
12
Suppose 12 + 12 = g - 5*c, 0 = c + 1. Suppose 14*r - 19*r + 1780 = -3*r. What is the remainder when r is divided by g?
16
Let k(q) = -12*q**2 + 111*q - 46. What is the remainder when 842 is divided by k(8)?
28
What is the remainder when (-1377)/162*(-60)/2 is divided by 71?
42
Suppose 1 = 4*p - l - 4, 4*l = 12. Suppose -i + 77 = 3*t + 5, p*t = 5*i - 377. Let a = -21 + i. Calculate the remainder when a is divided by 20.
14
Suppose -5*x - 5*l - 26 = -3516, 0 = -3*l + 3. What is the remainder when 701 is divided by x?
4
Let y be (-2)/(-4)*(3 + 5 + -20). Let c = -26 - -57. Calculate the remainder when ((-117)/y + -2)*14 is divided by c.
28
Suppose q = 3*p + 577, 18*q - 19*q + 4*p = -581. What is the remainder when q is divided by 53?
35
Let p(d) = d + 3. Let j be p(-1). Let o = 37 - 3. Calculate the remainder when o is divided by 4*(-45)/(-6)*j/6.
4
Suppose -11*g + 561 = -5*g + 5*g. Calculate the remainder when 213 is divided by g.
9
Let w(u) = 46*u - 971. Calculate the remainder when -1 + 10/(-4)*-98 is divided by w(22).
39
What is the remainder when -20 + 4 + 24 + 58/1 is divided by 28?
10
Let n(i) = 2*i**3 + 35*i**2 + 42*i - 82. Suppose 3*h = -15, -24 = 5*v - 5*h - 239. What is the remainder when v is divided by n(-16)?
10
Let z be ((-1284)/(-24) - 1*-4)*6. Let b = z - 224. Calculate the remainder when b is divided by 31.
28
Suppose 6*l - 10*l = -2*o + 2936, 2*l + 7348 = 5*o. What is the remainder when o is divided by 184?
182
Let l be 11/((-88)/(-16))*(0 - 10). Let p = -4 - l. What is the remainder when 24 is divided by p?
8
Suppose 45*u - 42*u + 2*r = 293, 4*r = 2*u - 222. Calculate the remainder when u is divided by (-4)/(-18) - 453/(-27).
16
Let k(f) = f**2 + 6*f - 14. Let r be k(-10). Suppose 3*v - y - r = 0, -3*v + 48 = v - 4*y. What is the remainder when 9 is divided by v?
2
Suppose -14296 = -4*x - 3*q, -9549 = -3*x - 5*q + 1173. Calculate the remainder when x is divided by 25.
24
What is the remainder when ((-1888)/(-72) - 26) + (16160/(-18))/(-1) is divided by 176?
18
Let q = -29 - -110. Suppose 2*a = 6, -14*a + 29 = t - 9*a. Calculate the remainder when q is divided by t.
11
Let b(f) = -3*f - 1. Suppose 0 = -5*l - 5*t + 2100, -392*t = 5*l - 396*t - 2019. Calculate the remainder when l is divided by b(-8).
20
Suppose -3*m - 99 = 4*y, -5*m + 3 + 16 = -y. What is the remainder when 5 - (y/(-6) + -231) is divided by 39?
37
Let n(f) = -f**2 - 14*f + 3. Let y be n(-14). Let u(c) = 14*c + 2 - 10*c - 6. Calculate the remainder when 46 is divided by u(y).
6
Let q = 229 + -152. Let y = -248 - -250. Calculate the remainder when q is divided by 3/6 + 39/y.
17
Suppose 0 = 5*j + 5 - 65. Suppose 2*c = -2*m - 62, -3*m + 5*c = m + 133. Calculate the remainder when (46/(-4))/(16/m) is divided by j.
11
Suppose 6 + 2 = -4*g, -78 = 2*c + 2*g. Let k = c + 74. Let r = 651 + -632. What is the remainder when k is divided by r?
18
Let p = -93 + 137. Suppose z = -3*b + 5, 3*z - 2*b + 18 = p. Suppose 2*s - 250 = -z*s. Calculate the remainder when 38 is divided by s.
13
Suppose 376*o = 765*o - 336*o - 33708. Calculate the remainder when o is divided by 248.
140
Let o = -121 + 205. Let t = 2822 + -2572. Calculate the remainder when t is divided by o.
82
Suppose -v + 131 + 57 = 5*x, 3*v - 588 = -3*x. Calculate the remainder when v is divided by 89.
20
Let x = -18312 - -32979. What is the remainder when x is divided by 18?
15
Let b = 5574 + -5400. Calculate the remainder when b is divided by 16.
14
Suppose 25*h + 31*h + 2415 = 79*h. Let w = 27 + -15. What is the remainder when h is divided by w?
9
Calculate the remainder when 111*(0 + 4) + -6 is divided by 198.
42
Suppose 17*w + 648 = 23*w. Suppose 3*b = -t + b + 66, -2*t = -4*b - w. Let g = t - 39. Calculate the remainder when 80 is divided by g.
17
Let q = -9330 + 9977. What is the remainder when q is divided by 164?
155
Suppose 0 = -4*i - 17 + 5. Let f = i - -5. Let w(r) = 7*r - 3. What is the remainder when 21 is divided by w(f)?
10
Suppose 0 = -2*t + 2*a + 856, 3*t + 8*a - 1242 = 4*a. Calculate the remainder when t is divided by 258.
164
Suppose 5*c + 9 - 19 = 0. Suppose 4*m + c*q - 2324 = 0, -3*m - m + 2352 = -5*q. What is the remainder when m is divided by 65?
63
Calculate the remainder when (-62)/(-93) + 352/3 is divided by 2.
0
Let o(t) = 8*t - 92. Let l = 81 - 67. Calculate the remainder when 35 is divided by o(l).
15
Let b = -15615 + 40140. What is the remainder when b is divided by 292?
289
Suppose -2*n + a + 86 = 0, 5*n - 2*n = -a + 139. Calculate the remainder when 101 is divided by n - 7/((-7)/6).
50
Calculate the remainder when 452 is divided by (2852/93)/((-6)/(-18)).
84
Let v be (1 - 2)/((-1 - -2)/(-1)). Let x(m) = 127*m - 44. What is the remainder when 91 is divided by x(v)?
8
Suppose 0 = -7*r + 314 - 55. What is the remainder when 204 is divided by r?
19
Suppose 2*k = 4*d + 50, -49*k = -48*k - 3*d - 24. Calculate the remainder when 612 is divided by k.
18
Let l(w) = 8*w**2 - 10. Let n be l(3). Suppose -9*o + 7*o + n = 0. Let v = o - -6. Calculate the remainder when v is divided by 10.
7
Suppose 5*n - 80 = -25. Suppose 0 = -5*h - m + 37, h + 5*m = 11 + 6. Calculate the remainder when n is divided by h.
4
Let c(o) = 7*o - 116. Suppose 0 = 4*u - 5*b - 108, 4*u - 20*b - 108 = -17*b. Calculate the remainder when 217 is divided by c(u).
71
Suppose 826 = 4*t - 3098. Suppose 5*p + t = 5*k + 256, 5*p = -15. Calculate the remainder when k is divided by 48.
46
Let y(d) = 15*d + 5. Calculate the remainder when y(7) is divided by ((-26588)/(-1104) + -24)*(-1 + 469).
32
Let y = 138428 - 138407. Suppose 5*a - 6 = -4*w - 381, -300 = 4*a + 3*w. Let q = a - -112. What is the remainder when q is divided by y?
16
Let d(w) = -4*w**2 + 84*w - 29. Let n be d(26). Let i = n - -555. Calculate the remainder when (-44)/(-6) - (-1)/(-3) is divided by i.
1
Suppose -68*z + 131445 = 313*z. Calculate the remainder when 1047 is divided by z.
12
Suppose -2*k + 12 = 8, 0 = -m + 2*k + 225. Calculate the remainder when m is divided by 4/(-3)*174/(-4).
55
Calculate the remainder when 479 is divided by (-1)/((-9)/2) - 19386/(-243).
79
What is the remainder when -138*(0 + 21/(-12)) - 172/344 is divided by 134?
107
Suppose -12 = -6*g + 2*g. Let s(t) = 5*t - 12. Let u be s(g). Suppose 176 = 3*n - 3*c - 76, -u*n = -c - 252. Calculate the remainder when n is divided by 17.
16
Let f(u) = u**3 + 8*u**2 - 19*u + 15. Let y be -2 + 24*20/4. Suppose -c + 18 = -5*a + y, -3*c = -a + 34. Calculate the remainder when a is divided by f(-10).
4
Suppose 22*f + 3977 = -19*f. Let d = -38 - f. Calculate the remainder when 586 is divided by d.
55
Let s(l) = -l**3 + 41*l**2 - 38*l - 72. Let u be s(40). Suppose -j + 18 + 68 = -4*w, 4*w = u. What is the remainder when j is divided by 22?
6
Let o be (-99 - -102)/(6/14). Let g(n) = 11*n**2 - 4*n - 11 - 3*n**3 - 3*n**2 + 2*n**3. What is the remainder when 48 is divided by g(o)?
8
Suppose 80*h - 52*h = 1428. Suppose -4*w = d - 3*d - 386, 3*w - 4*d - 282 = 0. What is the remainder when w is divided by h?
47
Let d = 19814 + -19608. What is the remainder when d is divided by (-284)/(-18) + 6/27?
14
Suppose 3*t + 5*n = 137, 3*t - n = -25 + 174. Let l = t + -29. Let p(m) = -8*m**2 + 139*m + 26. What is the remainder when p(17) is divided by l?
17
Suppose 7*f = 2*f - 2520.