- 669/j is divided by 10.
7
Suppose -3*p - v + 19 = 0, -5*p = 2*v - 23 - 8. Suppose -4*y = w - 114, 2*y - 252 = p*w - 9*w. What is the remainder when w is divided by 44?
42
Suppose -2*b + 5 = 1, 4*b - 2 = 2*w. Let g be 2/(-2) - (w - -2 - 3). What is the remainder when (590/(-15))/(1*2/g) is divided by 21?
17
Calculate the remainder when 515 - (-12 - (-80)/6)*18/(-4) is divided by 17.
11
Suppose -5*u - 7 = 4*t, -3*u = -4*u + 4*t + 13. Suppose -3*k = -4*k - u, -5*o + 794 = -4*k. Calculate the remainder when o is divided by 27.
23
Let d(u) = 1631*u + 3825. What is the remainder when d(-2) is divided by 6?
5
Suppose 0*v + 5 = -5*l - 5*v, -3*l + 1 = 2*v. Let m(o) = 2*o**3 - 3*o**2 + 9*o - 11. What is the remainder when 214 is divided by m(l)?
42
Let c = 134 + -300. Let h = c - -113. Let l = 65 + h. What is the remainder when 19 is divided by l?
7
Suppose -2*j - 4*g - 32 = -6*j, -2*j + 4*g + 16 = 0. Suppose 0 = 24*q + 575 - 3047. Calculate the remainder when q is divided by j.
7
Suppose 2*h + 11*l = 9*l + 2790, h - 1415 = 4*l. What is the remainder when h is divided by 83?
71
Suppose 0 = g - 5*f - 3 - 22, -3*f + 8 = 4*g. Let w = -604 - -630. Suppose -2*y = 20 - w. Calculate the remainder when g is divided by y.
2
Suppose -15*w = -13*w + 196. Let c = -16 - w. Calculate the remainder when c is divided by (-28)/(-5)*(7 + -2).
26
Let y = -5 + 18. Let o = y - 15. What is the remainder when (-3 - -3*183/(-18))*o is divided by 14?
11
Suppose -3*a = h - 7, 0 = 4*a + 4*h - 3*h - 9. Suppose -6*w - a*l = -2*w - 50, 0 = -2*w + 3*l + 29. Calculate the remainder when 63 is divided by w.
11
Let i be (25 - 22) + (0 - -38). Suppose i*r - 45*r + 176 = 0. What is the remainder when r is divided by 12?
8
Let j(z) = -25*z + 1. Suppose -226*o + 794 = -1761 - 4903. What is the remainder when j(-3) is divided by o?
10
Let t be 3/(18/(-24))*-1*1. Suppose 0 = 2*o + t*a - 58, 4 - 6 = a. What is the remainder when o is divided by 13?
7
Calculate the remainder when 2836 is divided by 72/(-63) - 8220/(-357) - (-2)/17.
20
Suppose -3*u + 2*m = -117 + 570, 621 = -4*u - 3*m. Let z = u + 191. Calculate the remainder when 150 is divided by z.
36
Suppose 0 = -3*l + 1 - 4. Let z be l/4 + 1/4. Suppose -2*b + 2*d + 16 = 0, -b + z*d = d - 10. Calculate the remainder when 23 is divided by b.
5
Suppose 4*z + 90 - 90 = 0. Suppose z = 443*r - 453*r + 70. Calculate the remainder when 110 is divided by r.
5
Let u = 24 + -41. Let f = u + 19. Let q(s) = s**3 + 2. What is the remainder when 47 is divided by q(f)?
7
Suppose 10*y = 5*y + 345. Let h = 57 - y. Let l(k) = 2*k + 36. What is the remainder when 35 is divided by l(h)?
11
Let r be 15/9 + 2/6. Suppose 0 = -r*w + 20 + 26. What is the remainder when w is divided by -9 + (-120)/(-28)*140/20 + -7?
9
Let d be (15/10)/(3/40). Let i be ((-29)/(-4))/((-5)/d). What is the remainder when 96 is divided by (3 + 0)/(i/(-319))?
30
Let a(b) = -14*b + 17. Let h(q) = -21*q + 25. Let w(s) = -8*a(s) + 5*h(s). Let n be 4*(-7)/28*(1 + -6). What is the remainder when w(n) is divided by 14?
10
Let x be (-1316)/((-4 - -8)/(-1 - 1)). Suppose 8*z - x = z. What is the remainder when z is divided by 32?
30
Suppose -5*q + 45 = -155. Suppose q*c = 727 - 247. What is the remainder when c is divided by 8?
4
Suppose -4*m - 152 = -3*t, -147 = -3*t - 0*t + 3*m. Let d = -40 + t. Suppose -p + d*c = -0*p - 19, -7 = -p + c. What is the remainder when 10 is divided by p?
1
Suppose 391 = -2*q - 3*r, q + 619 = -2*q + 2*r. Let d = q + 306. What is the remainder when d is divided by 15?
13
Suppose -257 + 467 = 5*j. Suppose 5*v - 12*v = -j. What is the remainder when 46 is divided by v?
4
Suppose -10227*o = -10230*o + 12288. What is the remainder when o is divided by 20?
16
Let j = -452 - -457. Suppose 2*p = -4*a + 182, 6*a - 4*a = j*p - 431. Suppose -9 + 75 = 3*d. What is the remainder when p is divided by d?
21
What is the remainder when 19149 is divided by (-12)/76 + 15834/1729?
6
Let w = -93 - -67. What is the remainder when 57 is divided by (w - -22)*(-14)/4?
1
Suppose 0 = 2*g - 2*h - 978, 5*g + 1055 = 2*h + 3509. What is the remainder when g is divided by 124?
120
Let t(q) = 17*q - 6. Let u be t(5). Let d = u - 67. Calculate the remainder when d is divided by ((-8)/(-5))/((-1)/(-5)).
4
Let q = -21730 - -21810. Calculate the remainder when q is divided by 75.
5
Let h = 1347 - 1266. Suppose 78*o - 86*o = -328. Calculate the remainder when h is divided by o.
40
Suppose 4*k - 1376 = -4*j, 12*j - 1028 = 9*j + k. What is the remainder when j is divided by 165?
13
Suppose -781*n = -793*n + 180. Let z(v) = -v**3 - 8*v**2 + v + 2. Let k be z(-8). Let w = k + 10. What is the remainder when n is divided by w?
3
Suppose -10*i + 5932 = 1832. Let f = i - 346. Calculate the remainder when 255 is divided by f.
63
Let g = 2256 + -1936. What is the remainder when g is divided by 116?
88
Suppose -815 = 2*o - 7*o. Let k = o + -151. Calculate the remainder when 38 is divided by k.
2
Let s be (1 + 6/(-3))/((-2)/100). Let w = s + -46. Suppose -5*t = y - 15, -36 = -w*t + 6*y - 2*y. What is the remainder when 7 is divided by t?
3
Let u(v) = -3*v + 67. Let r be u(21). Suppose -5*b + 4*y = -261, 2*y - 11 = r*b - 221. Calculate the remainder when 369 is divided by b.
51
Let h = 32918 - 32379. What is the remainder when h is divided by 141?
116
Let x = -676 - -688. Suppose 0 = -x*c - 80 + 296. Calculate the remainder when 44 is divided by c.
8
Let k(o) = 3*o**2 - 78*o + 29. What is the remainder when k(-8) is divided by 361?
123
Let l be (7/(-21))/(2/750). What is the remainder when 67 is divided by -38*3*(l/30 - -4)?
10
Let f be (-61)/305 - ((-4)/(-5) - 1). Suppose 143*d - 146*d + 1875 = f. Calculate the remainder when d is divided by 19.
17
What is the remainder when ((-12192)/288)/(-2 + 321/162) is divided by 209?
196
Suppose -18*y - 9*y - 234 = -909. What is the remainder when 221 is divided by y?
21
Calculate the remainder when 64 is divided by (-2)/(8310/1625 - 5 - (-2)/(-13)).
14
Let l(k) = 14*k - 16. Let x be l(7). Suppose x = 3*r - 5*y, 0 = 5*y - 4 + 29. Suppose 3*q + r = 157. What is the remainder when q is divided by 16?
14
Let l = 182 + -182. Suppose 7*i + 105 - 1204 = l. What is the remainder when i is divided by 32?
29
Suppose -2*c + 3*l + 1070 = 0, 5*c + 4*l = 3*c + 1056. Calculate the remainder when c is divided by 89.
87
Suppose 8*n - 28 = -12. Suppose 5*j - n*z - 33 = 0, 23*j - 26*j + 2*z = -23. What is the remainder when 52 is divided by j?
2
Let j be 20/9 + -2 - (-1108)/36. Suppose 0 = -q + 3*k - 0*k + 31, -5*k = q - j. Suppose 8*v = -3*v + 1320. What is the remainder when v is divided by q?
27
Suppose 0 = -9*w + 25 + 166 + 16. What is the remainder when 5237 is divided by w?
16
Suppose 3*i + 264 = o, -2*o + 6*o + 18*i - 1146 = 0. What is the remainder when 999 is divided by o?
180
Suppose -z = -70 + 45. What is the remainder when 3380/z + 5 - 3/15 is divided by 48?
44
Suppose 33*k - 100 = 13*k. Let w be (3*68/18)/((-2)/(-3)). Suppose -19*o + 128 = -w*o. What is the remainder when o is divided by k?
4
Suppose 7*r - 25 - 55 - 88 = 0. Calculate the remainder when 238 is divided by r.
22
Let n(y) = -y**3 - 37*y**2 + 38*y - 134. Calculate the remainder when n(-39) is divided by 21.
19
Suppose -h + 6*x + 278 = 5*x, -2*h = 3*x - 561. What is the remainder when h is divided by 23?
3
Let x(v) = -v**3 - v + 2. Let s be x(0). Suppose f - 4*l - 399 = 27, -5*f = s*l - 2086. Calculate the remainder when f is divided by 35.
33
Let p(f) = 2*f + 2*f**3 - 1 - 14*f**3 + 0 - 2*f**2 + 49*f**3. What is the remainder when p(2) is divided by 73?
72
Let i be ((-15)/5 - 3)*(-228)/9. Suppose 44 - i = -5*g - 3*h, -5*g = -4*h - 136. What is the remainder when 213 is divided by g?
21
Let l = -56 + 61. Suppose l*t - 73 = -4*v, 29 = 3*v - 3*t - 19. What is the remainder when v is divided by 2/5 + 39/15?
2
Let j(u) = -2*u**2 - 3*u - 1. Let a be j(-2). Let m(h) = -h - 3. Let w be m(a). Suppose w*d = d, 21 = 3*k - 3*d. What is the remainder when 13 is divided by k?
6
Let p(s) = -s**3 - 11*s**2 + 471*s - 84. Calculate the remainder when p(-28) is divided by 15.
11
Let m(i) = 729*i + 356. Calculate the remainder when m(2) is divided by 38.
28
Let v(i) = i + 11. Let k be v(-11). Suppose k = -6*u - 53 + 119. Let q = 100 -