se 11406 = -12*i + 35358. Calculate the remainder when i is divided by 990.
16
Let y = 26923 + -26843. What is the remainder when 516 is divided by y?
36
Let o(x) = -2*x**3 - x**2 + 14*x - 13. Let a = 598 + -602. Calculate the remainder when 51 is divided by o(a).
8
Let q = 246 + -251. Calculate the remainder when 137 is divided by (15 - (1 - 0)) + (-9 - q).
7
Suppose 0 = 3*u - 6, 29 = 3*o - 0*u - 2*u. Suppose o*z + 6*z - 1156 = 0. Calculate the remainder when z is divided by 10.
8
Let c(b) = b**3 + 14*b**2 - 41*b + 449. What is the remainder when c(17) is divided by 83?
79
What is the remainder when 1382 is divided by (-13 + -1)/(-1) + (70 - 42 - 20)?
18
Calculate the remainder when 1375 is divided by -29 + 820/28 + (-472)/(-14).
15
Let q be 13/(-13) + (-3)/(-1). Suppose -3 = -3*c + 2*r, -q*c + r = -6*c + 15. Suppose 15 = -c*a + 45. Calculate the remainder when 26 is divided by a.
6
Suppose 673*i - 662*i = 25267. What is the remainder when i is divided by 100?
97
Let t(h) = 53*h - 3278. What is the remainder when t(71) is divided by 102?
77
Let w(o) = 4*o + 67. Let f be w(-28). Calculate the remainder when (486/(-4))/(-42 - f)*-6 is divided by 62.
57
Suppose -3*h - 6 = -2*l, 6*l + 4*h = 8*l - 2. Suppose 0 = 3*j - 104 - 64. Suppose 0*d + 4*d = j. Calculate the remainder when d is divided by l.
5
Suppose -5 = 3*h - 17. Suppose -f + 5*n = -0*f + 21, -5*n = -h*f - 99. Let a = -12 - f. What is the remainder when 25 is divided by a?
11
Let q = 35 + -67. Let i = q + 0. Let h = i + 60. What is the remainder when h is divided by 5?
3
Suppose -3*s - 46*c + 156 = -48*c, 5*s + 2*c - 276 = 0. What is the remainder when 387 is divided by s?
9
Let f = 17744 + -17728. Calculate the remainder when 9739 is divided by f.
11
Let x = -11283 + 11309. What is the remainder when 450 is divided by x?
8
Let u = -157 - -234. Suppose 3*h = -8*h - u. Let b(c) = -5*c + 1. Calculate the remainder when b(h) is divided by 19.
17
Let x = -1138 - -1385. Suppose 0*d - r + 20 = d, 0 = 4*d - 4*r - 120. What is the remainder when x is divided by d?
22
Suppose 2*z - 3*x + 228 = 0, -2*z - 3*x = -2*x + 220. Let d = 14 - z. Calculate the remainder when d is divided by 9.
8
What is the remainder when 1096 is divided by (11648/(-3136))/(1/(-21))?
4
Let y(u) = -6*u. Let j be y(-3). Let t be 0/(j/15 + 7/(-35)). Suppose 2*h = d + 36, t = 2*h + 3*d - d - 48. Calculate the remainder when 118 is divided by h.
18
Let r(q) = 2*q**2 + 34*q - 131. Calculate the remainder when r(-24) is divided by ((-26)/8)/(3/(-12)).
10
Suppose 0 = 2*k - 0 - 18. Let g be k/(-24) - 54/(-16). Suppose -84 - 285 = -g*z. Calculate the remainder when z is divided by 42.
39
Suppose 10*p - q = 7*p + 10, -4*p = 4*q - 24. Let l = 107 - p. What is the remainder when l is divided by 15?
13
Let c(i) be the third derivative of 0*i**5 + 0*i**3 + 10*i**2 + 0*i - 1/10*i**6 + 0 + 1/24*i**4. Calculate the remainder when 15 is divided by c(-1).
4
Suppose -3*u + 4*g - 8*g + 768 = 0, 4*g = 24. Calculate the remainder when 1014 is divided by u.
22
Let z = -7 - -23. Suppose 68*u = 6846 - 1950. Calculate the remainder when u is divided by z.
8
Let y(f) = f**2 + 7*f + 9. Suppose 2*k = -3*k. Suppose -4*h - 2*h - 42 = k. What is the remainder when 17 is divided by y(h)?
8
Let d = 3430 + -3327. Calculate the remainder when 5252 is divided by d.
102
Suppose 6 = -42*z + 45*z. Suppose -3*t = -4*p - 37, 9 = -2*t + z*p + 31. What is the remainder when 213 is divided by t?
3
What is the remainder when 3545 is divided by (144/(-156))/((-304)/(-52) - 6)?
5
Suppose 0 = -111*w + 196 + 215 + 477. Suppose 0 = 7*o - 2*o + 2*z - 790, -5*z = 0. What is the remainder when o is divided by w?
6
What is the remainder when 2709 is divided by 6/4 - (-840)/(-36)*1155/(-20)?
11
Let d = -33253 - -41861. Calculate the remainder when d is divided by 261.
256
Suppose 40*f = 9*f + 9083. Suppose 3*h - z = -0*z + 114, -176 = -5*h - 3*z. Calculate the remainder when f is divided by h.
34
Let t(o) = 63*o - 156. Let d be t(9). Suppose d - 471 = -2*m. Calculate the remainder when (-484)/(-6) - (-6)/(-9) is divided by m.
20
Let r = 621 - 617. Suppose -3*f + 17 = k + 1, -f = r*k - 75. What is the remainder when 358 is divided by k?
16
Suppose -2*m + 4*o = -4*m + 32, 0 = 4*m + o - 85. Suppose 6 = -7*h + 4*h. What is the remainder when m is divided by 1034/154 - h/7?
1
Suppose p = 15 + 25. Suppose 0 = 189*g - 192*g. Suppose 3*q + l - 70 = g, l = 3*q - 8*q + 116. Calculate the remainder when p is divided by q.
17
Let c be ((-312)/(-195))/(4/10). Suppose c*x + 11 = u, -x = -3*x. Let d = -1 - -11. Calculate the remainder when u is divided by d.
1
Let t = -30 + 37. Suppose 3*c + 2*o + 2224 = 0, -3*c + t*o = 2*o + 2210. What is the remainder when (c/15)/((-4)/6) is divided by 38?
36
Suppose j + 3*x = -4*j + 354, -x = -3. Let l = -53 - 359. Let t = 439 + l. What is the remainder when j is divided by t?
15
Let i(x) = 33*x - 1825. Calculate the remainder when 383 is divided by i(61).
7
Suppose -5*f + 318 = 6*x - 80, 2*x - 122 = -3*f. Calculate the remainder when 1910 is divided by x.
12
Let b = 55 - 82. Let t = 36 + b. Calculate the remainder when 151 is divided by ((-102)/8)/(t/(-36)).
49
Let y = -411 + 535. Let r = y + -111. What is the remainder when 50 is divided by r?
11
Let a be (2 + 4/(-6))/((-16)/(-24)). Calculate the remainder when (800/(-14))/(-4) + 12/(-42) is divided by (2*-2)/a*36/(-24).
2
Suppose 4*r - 8 = 2*z - 50, -4*z + 3*r + 69 = 0. What is the remainder when 128 is divided by ((-10)/z)/(((-28)/(-78))/(-7))?
11
Suppose -5*h - 55 = -405. Suppose -5*c + 1100 = -5*x, 133 = -x - 5*c - 99. Let m = 231 + x. Calculate the remainder when h is divided by m.
7
Let x = -178 - -116. Let h = x - -128. Suppose -4*o - h = z - 214, -4*z = 0. Calculate the remainder when o is divided by 13.
11
What is the remainder when 1262 is divided by (-246)/(-8) + 8*1/32?
22
Suppose 96 = 11*z - 17*z. Let l = z + 30. What is the remainder when 291 is divided by l?
11
Let f be (-10 - -6) + 5/(10/32). Suppose x - 2*t = -1 - f, -4*t = 2*x - 6. Let w(y) = y**3 + 6*y**2 + 4. Calculate the remainder when w(x) is divided by 5.
4
Suppose -3*m - a = 8, 0*m = -2*m - 2*a. Let p be 4 + (313 - 4 - m - 2). What is the remainder when (8/(-5))/((-21)/p) - -3 is divided by 16?
11
Suppose -4*t + 7 = -37. Let b be ((-30)/(-2) - -5)*1. What is the remainder when t is divided by (-8)/((-8)/b*5)?
3
Calculate the remainder when (2 + 3/(18/(-22)))*(-2016)/7 is divided by 153.
21
Suppose -k + 13 = 9. Suppose 0*z - 8 = 3*h + 4*z, -2*z = k. Suppose 5*a - 22 = -7, 3*o + 4*a - 60 = h. Calculate the remainder when o is divided by 9.
7
Let u(v) = -6*v**2 + 3*v - 8. Let n be u(3). Let o = n - -63. Calculate the remainder when -98*(1 + -1 + (-2)/2) is divided by o.
8
Let p(a) = -a**2 + 17*a + 479. What is the remainder when 1076 is divided by p(31)?
41
Suppose 0 = -3*v + 3, 5*g - 27 - 72 = v. Let z(a) = -42*a - 68. Calculate the remainder when z(-13) is divided by g.
18
What is the remainder when (5 - (-18395)/45 - 1) + 8/36 is divided by 57?
14
Suppose -366*d + 349*d = -918. Suppose -x - b + d = 0, -9*b + 8*b = 0. What is the remainder when 161/3*6/2 is divided by x?
53
Suppose -10*g + 32 = -2*g. Suppose g = -68*s + 70*s. Suppose -3*j = s*f - 171, -f + 6 = -4*j - 52. Calculate the remainder when f is divided by 16.
14
Suppose -28*d = -71*d - 212 + 7092. Calculate the remainder when 778 is divided by d.
138
What is the remainder when 183 is divided by ((-33)/2)/(-1 - 95/(-110))?
62
Suppose -2*l + 6 = -2, -8 = -5*y + 3*l. Let s(r) = 3*r**2 + 21*r - 20. Let g be s(1). Suppose -y = -g*j + 144. Calculate the remainder when j is divided by 19.
18
Suppose -348*n + 184134 + 117930 = 0. What is the remainder when n is divided by 18?
4
Suppose 0 = i - 4*i + 99. Let s = 1324 - 1321. Suppose -s - i = -2*g. Calculate the remainder when 69 is divided by g.
15
Let u(c) = -3*c**3 - c**2 - c - 5. Let b be (4/(-5))/(4/10). What is the remainder when u(b) is divided by 4?
1
Suppose -96 = -4*g + h, -711*g + 2*h = -715*g + 72. What is the remainder when 2/(-8) + 538/8 is divided by g?
1
Let u(r) = -8*r + 8 + 11*r + 12 + 2*r. Let q be u(-9). Let n = q + 27. What is the remainder when n is divided by 1?
0
Let b(c) = -3*c**3 - 4*c**2 + 59*c + 477. 