hen m is divided by 3?
1
Suppose 0 = -5*j - 6*j + 22. Suppose -580 = -j*a - 2*l, l + 913 = 2*a + 348. What is the remainder when a is divided by 96?
93
Suppose 2*o - 4*s = 678, o + 4*s + 0 = 333. What is the remainder when o is divided by 68?
65
Let z(a) = 8*a + 3. Let v(j) = -9*j + 74. Let k be v(8). Calculate the remainder when 92 is divided by z(k).
16
Let y = -4401 - -4921. What is the remainder when y is divided by 156?
52
Suppose -179 = 2*g + 77. Let a = g + 140. What is the remainder when 249 is divided by a?
9
Let t(m) = 3*m**2 - 14*m + 168. What is the remainder when t(7) is divided by 47?
29
Suppose -4*p + 2*k + 58 = 0, 5*p + 5*k = 288 - 238. What is the remainder when 2271 is divided by p?
9
Suppose -46 = -7*c + 52. Suppose 4*q + 0*q + c = -5*i, 0 = 5*i + 3*q + 13. Let u(b) = -6*b + 1. Calculate the remainder when 25 is divided by u(i).
12
Let n = 27 + -23. Suppose 155 = n*r + 55. Suppose 2*l = 5*q + 9, 3*l + 0*q - 25 = -4*q. What is the remainder when r is divided by l?
4
Let u(z) = 3131*z**2 - 115 + 33*z + 3138*z**2 - 6266*z**2. What is the remainder when u(-17) is divided by 2/8*2*96?
47
Let p(r) = 13*r - 126. Let v(h) = -2*h + 1. Let g(d) = -p(d) - 4*v(d). What is the remainder when 106 is divided by g(13)?
49
Suppose 3*t + 12*w = 8*w + 31, -37 = -3*t - w. What is the remainder when 33 is divided by t?
7
Suppose -78*t + 72*t + 66 = 0. Let a(x) = -x - 10. Let z be a(-5). Let m(r) = 2*r**2 + 11*r + 12. What is the remainder when t is divided by m(z)?
4
What is the remainder when 20/((-300)/500 - (-3028)/5030) is divided by 86?
84
Let u be 3/9*-3*3 - -3. Suppose u*w = w - 20. Suppose -w - 10 = -10*m. What is the remainder when 13 is divided by m?
1
Let u(a) = 77*a**2 + 4*a - 3. Let k be u(1). Suppose 12*t = k + 18. What is the remainder when 16 is divided by t?
0
Let i = -56 + 5. Let j be ((-8)/6)/(1 + 53/i). What is the remainder when j + 6/(-3) - -4 is divided by 11?
3
Let h(g) = -7*g + 51. Let a be (-7 - -8)/(-1 - 12/(-10)). What is the remainder when h(a) is divided by 6?
4
What is the remainder when 461 is divided by 12/(-15)*(10/(-4))/((-55)/(-275))?
1
Suppose -18*u = -t - 15*u + 13, -3*u = 5*t - 137. What is the remainder when 72 is divided by t?
22
Suppose -13*s + 21*s - 1136 = 0. Suppose -4*i - 20 = 0, 2*i = -4*f - 2*i + 176. Calculate the remainder when s is divided by f.
44
Let r be 12 - (6 + -3 + 2). Suppose -372 = -5*i - 4*h, 231 = 3*i + r*h - 2*h. Calculate the remainder when i is divided by 27.
18
Let k(v) = 21*v**2 - v + 1. Let y be (3 - 3 - -7) + (-4 - -1). Suppose -y*i + 80 + 91 = l, -54 = -i + 2*l. What is the remainder when k(-2) is divided by i?
43
Let l(q) = 324*q - 51481. Calculate the remainder when (-1)/4 + (-938)/(-8) is divided by l(159).
12
Suppose 0 = 4*r - 4*b - 276 + 64, 4*r - 228 = -4*b. Calculate the remainder when 323 is divided by r.
48
Let x = 8 + 0. Let p(m) = m**3 - 40*m**2 - 81*m - 103. What is the remainder when p(42) is divided by x?
7
Let s be (-4)/6 + 35/(-15). Let u be (60/(-16))/(-1*s/(-48)). What is the remainder when (-5)/u*-6*(2 + 20) is divided by 7?
4
Suppose 0 = -6*u + 7*u + 1, 2*r - 291 = u. Suppose -r = -7*c + 184. Suppose -29 = -5*y + 96. What is the remainder when c is divided by y?
22
Let s = -17 + 70. Suppose -4*n = 5*o - 191, 0*n = 3*o - 5*n - 85. What is the remainder when s is divided by (95/o)/((-9)/(-63))?
15
Let x = -21 + 82. Let j = -59 + x. Suppose 2 + 0 = 2*z. What is the remainder when j is divided by z?
0
Let h be 1 + 8 + (-17 - -8). Suppose h = 3*w - j + 4*j - 264, -90 = -w + j. What is the remainder when w is divided by ((-57)/9)/(1/(-3))?
13
Suppose -16 + 8 = -4*w. Suppose -p - 4*f + 20 = p, 0 = 4*p + w*f - 28. What is the remainder when 39 is divided by p?
3
Suppose 96*i - 83*i = 65. Suppose 0 = -5*t - 4*a + 175, 4*t - 3*a - 210 = -t. Calculate the remainder when t is divided by (i/10)/((3 - 4)/(-28)).
11
Let g = 43 + 69. Let q = -57081 - -57750. Calculate the remainder when q is divided by g.
109
Suppose -2*n = 4*b + 1000 - 1226, -5*n - 3*b = -502. What is the remainder when n is divided by 30?
5
Let p = 9075 + -5368. Calculate the remainder when p is divided by 7.
4
Suppose 3*f - 14 = -2. Suppose s - f = -0*s. Suppose 4*w - 3*x = 222, -w + s*x = -2*w + 46. Calculate the remainder when w is divided by 19.
16
Let c(a) = 2*a**2 + 5*a + 1. Let r(t) = -t**3 - t**2 + 157*t + 73. Calculate the remainder when r(-13) is divided by c(-4).
8
Suppose 242 = 6*d - h, 4*d = -2*h - 86 + 242. Calculate the remainder when 1319 is divided by d.
39
Let o = 3194 - 3017. What is the remainder when o is divided by 131?
46
Let i(z) = -z**3 + 6*z**2 + 91*z + 8. What is the remainder when 9 is divided by i(13)?
1
Let t = -4700 + 4777. Calculate the remainder when 2624 is divided by t.
6
Let p = 31881 - 26555. What is the remainder when p is divided by 36?
34
Let w = -22773 + 25930. What is the remainder when 9473 is divided by w?
2
Calculate the remainder when 56/(-2)*((-3252)/14 - 20) is divided by 124.
120
Calculate the remainder when 1417 is divided by (-318 - -350) + 1 + 24.
49
Let l(m) = -m**2 + m + 14. Let n be l(-3). Suppose 5*o - o + 3*z = 299, -n*o + 160 = -2*z. Calculate the remainder when o is divided by 13.
12
Let o = -19 + 15. Let u be o*12/(-16) - -4. Suppose u - 95 = -h. Calculate the remainder when h is divided by 30.
28
Suppose 5*c + 128 = -4*s, 5*s + 36 + 46 = -3*c. What is the remainder when 2 + 2869/6 - (-4)/c is divided by 13?
12
Suppose 5*z - 2463 = -4*l + 4264, 4*l = z - 1355. Calculate the remainder when z is divided by 336.
3
What is the remainder when 1654 is divided by (-1)/(-14) - ((-7462)/(-196))/(-41) - -153?
114
Let c = 2025 + -1327. Calculate the remainder when c is divided by 18.
14
Let m(a) = 48*a - 1286. What is the remainder when 85 is divided by m(27)?
5
Let y = -40701 - -40713. Calculate the remainder when (-1)/3*-3*71 is divided by y.
11
Let i(t) = 3*t**2 + 8*t - 32. Let k be i(3). Suppose 3*x + 5*h - 7 = k, -3*h - 18 = -x. Calculate the remainder when 16 is divided by x.
4
Suppose 64*u + 13*u - 92888 = 9*u. Calculate the remainder when u is divided by 76.
74
Let h(z) = -z**3 - 21*z**2 + 3*z + 78. Let n = 280 - 301. What is the remainder when h(n) is divided by 4?
3
Let a = -158 + 172. What is the remainder when 11/((-11)/(-4)) + 33 is divided by a?
9
Suppose 0 = -4*t - 5*i + 2754, -7*t + 1362 = -5*t - 5*i. Let l = t - 516. What is the remainder when l is divided by 86?
84
Let b(w) = 7*w**2 + 3*w + 25. Suppose x - 5*k + 47 = 80, k = -2*x + 22. What is the remainder when b(-4) is divided by x?
8
Let q = 217 + -218. Let s(v) = 33*v**2 - 8*v - 7. Calculate the remainder when s(q) is divided by 22.
12
What is the remainder when 1303 is divided by (-6802)/(-358) - (-7)/1?
3
Let p be (-2 - 8/6)*(-12)/10. Suppose p*x - 14 - 190 = 0. Calculate the remainder when 190 is divided by x.
37
Suppose -2*l = -9 - 23. Let z be (l - 18) + 1*4. Calculate the remainder when 37 is divided by z/(-3*(-5)/30).
1
Suppose 3*h + 66 = 108. Suppose -162 - 47 = -11*i. Calculate the remainder when i is divided by h.
5
Suppose 0 = y + 9*y - 30. Suppose 18*k = y*k + 630. Calculate the remainder when k is divided by 22.
20
Let l(j) = 831*j - 11553. What is the remainder when l(20) is divided by 2533?
1
What is the remainder when 197 is divided by (-1)/(3 + (-1645)/546)?
41
Let m(f) = -250*f**2 - 1020*f - 5. Calculate the remainder when 255 is divided by m(-4).
30
Let b(c) = 126*c - 2055. What is the remainder when 682 is divided by b(19)?
4
Let g be -20*(7 - 54/8). Calculate the remainder when 31 is divided by (-79)/g + (-36)/(-180).
15
Let x = 789 - 789. Suppose 0 = -x*q - 3*q + 87. What is the remainder when q is divided by 21?
8
Let z(p) = -195*p + 4055. What is the remainder when 926 is divided by z(20)?
151
Suppose 0 = -355*l + 31*l + 22356. Calculate the remainder when 616 is divided by l.
64
Suppose -67*l + 64*l + 120 = -5*w, 200 = 5*l - 4*w. Suppose -7*h + 367 = -193. Calculate the remainder when h is divided by l.
0
Let a(q) = 2*q**2 + 10*q + 16. Let l be a(-2). Suppose -4*f + 9*u - 6*u = -87, l*f - 5*u = 81. Calculate the remainder when 31 is divided by f.
7
Suppose -12*l + 9*l = 0. Suppose -2*y + 10 + 8 = l. Calculate the remainder when (-43)/(-2)*(-5 + 7) is divi