3
Suppose -301*v + 177*v = -1364. Let y(d) = 3*d**2 - 8*d + 6. What is the remainder when y(5) is divided by v?
8
Calculate the remainder when 545 is divided by 13/((-44)/330 + (-46)/(-120)).
25
Suppose 10*t - 41 = 9. Suppose -t*f + 119 - 109 = 0. Suppose 5*c = -j + 32, -2*j - f*j + 62 = -2*c. What is the remainder when 66 is divided by j?
15
Let w be (-2273)/5 - (-6)/(-15). Let z = 652 + w. Suppose -q = -t - z, 9*q - 2*t = 4*q + 988. Calculate the remainder when q is divided by 50.
48
Suppose -4*x = x + 3*i - 16, -2*i + 6 = x. Suppose -f - f - 3*r - 40 = 0, 4*f + x*r = -88. Let j = 10 - f. What is the remainder when j is divided by 12?
9
Suppose -2*i + 5*q = -289, -4*i - 2*q = -0*q - 542. What is the remainder when i is divided by (-204)/(-8 - -2) + -6?
25
Let u be (-73 - -63)*(129/5)/(-1). Let o = u - 236. What is the remainder when 240 is divided by o?
20
Suppose 646*k - 2142 = 595*k. What is the remainder when 462 is divided by k?
0
Suppose 8*u + 0*u = 24. Suppose r - 7 = -8, 2*n - u*r - 137 = 0. What is the remainder when n is divided by 5?
2
Let v = 99 + -36. Suppose -27*i = 276*i - 9696. Calculate the remainder when v is divided by i.
31
Let s = -1915 + 1049. Let j = s + 985. Calculate the remainder when j is divided by 34.
17
Suppose 2*f + 296 = 21*i, -4*i - 36 = -5*f - 97. Calculate the remainder when 652 is divided by i.
8
Suppose 0 = z - 5*w - 26, 2*z + 61*w = 62*w + 43. What is the remainder when 209 is divided by z?
20
Suppose -5*n = -5*z - 255, -n - 5*z + 42 + 15 = 0. Suppose -i = 3*i - n. Suppose -i = -4*j - 1. What is the remainder when 14 is divided by j?
2
Calculate the remainder when 2*397/2 + -9*4/12 is divided by 8.
2
Calculate the remainder when (-2)/(3 + -1) + (-135)/(-1) is divided by (-7)/(-1) + 10/(-35) + (-16)/(-7).
8
Suppose 0 = 4*v - 28, 3*g - 36300 = 5*v - 8*v. Calculate the remainder when g is divided by 24.
21
Suppose 2*s + 3*h = -406, -3*s + 361 - 970 = -h. Let w = -164 - s. What is the remainder when 87 is divided by w?
9
Let d = -12270 - -13264. Calculate the remainder when d is divided by 56.
42
Let j = -3995 - -5061. Calculate the remainder when j is divided by 189.
121
Let g(p) = -p**3 - 4*p**2 - 3*p - 4. Let o(m) = -23*m - 369. Let c be 0/((-49)/7) - -6 - 23. What is the remainder when o(c) is divided by g(-4)?
6
Suppose -42*j + 47*j - p - 2922 = 0, 0 = -7*j + 4*p + 4083. What is the remainder when j is divided by 581?
4
Suppose -l - 1 - 12 = -5*v, -20 = -4*v + 4*l. Suppose 0 = -2*t - 4*a + v, -4*t + 29 = t + 4*a. Let d = 26 - 22. What is the remainder when t is divided by d?
1
Suppose -5*j + c + 64 = -2*c, -2*j = 3*c - 34. Let u = 25 + j. What is the remainder when (-2 - -1 - 0)*-75 is divided by u?
36
Let r = -5574 + 5671. What is the remainder when r is divided by 14?
13
Suppose -38*l + 25776 = 10*l. What is the remainder when l is divided by 30?
27
Let i = -2144 + 2156. Calculate the remainder when 676 is divided by i.
4
Let n be (-9)/2*(-52)/3. Suppose 0 = 3*k - 4*c - 385, -4*c + n = 2*k - 172. What is the remainder when k is divided by 16?
15
Calculate the remainder when (0 - (3 + -4 - -2))/(17/(-9979)) is divided by 11.
4
Let t be ((-2)/6)/(-3*1/1143). Suppose 19*w - 393 = -t. What is the remainder when 78 is divided by w?
8
What is the remainder when 883 is divided by 30/(-20)*204/(-18)?
16
Suppose 0 = -2*f + b, -19 = -6*f + b - 4*b + 53. Suppose -c + 76 = 3*c. Calculate the remainder when c is divided by f.
1
Let n(o) = 4*o - 28. Let j be n(13). Let y = j - 20. Suppose -28 - 4 = -y*v. What is the remainder when v is divided by 5?
3
Suppose -5*s - 2*p + 64 = 0, -62 = -5*s + 1408*p - 1409*p. What is the remainder when 105 is divided by s?
9
Suppose 4*i - 4*h = 76, i - 2*h - 34 = -19. What is the remainder when 870 is divided by i?
19
Let s be (-83 - (-4 - -3)) + 6. Let b = 72 - s. What is the remainder when b is divided by 71?
6
Let g(z) = 49*z - 5. Let m be g(5). Suppose -h = -4*h + m. What is the remainder when 59 is divided by 0 + (h + 0)/4?
19
Let h = 7 - 1. Suppose -h*m = -586 + 5194. Calculate the remainder when (6/9 + m/(-9))/2 is divided by 22.
21
Suppose -187*h + 2205 + 1420 + 11522 = 0. Calculate the remainder when 16116 is divided by h.
78
Let q(i) = i**2 - 5*i - 47. Let j be ((-4)/(-1) - 1)/((-12)/(-44)). What is the remainder when 129 is divided by q(j)?
15
Suppose -26599*x = -26540*x - 329810. What is the remainder when x is divided by 12?
10
What is the remainder when 236 is divided by 20*(-92)/(-10)*(-6)/(-24)?
6
Let z = 16865 - 16621. What is the remainder when 22691 is divided by z?
243
Let p be (-3)/(-63)*6*14. Let m = 116 - 82. Calculate the remainder when m is divided by p - (-1 - (4 - 2)).
6
Let o(i) = 9*i. Let g be (4/(-20))/(5 - (-52)/(-10)). What is the remainder when 241 is divided by o(g)?
7
Suppose 408*p - 1281740 = 28*p. Calculate the remainder when p is divided by 125.
123
Suppose 0 = -449*y + 153*y + 7323 + 6589. What is the remainder when 20115 is divided by y?
46
Suppose -4*i = -r + 20, -16*r - 3*r = -3*i - 745. What is the remainder when 4798 is divided by r?
38
Suppose -223 = -c - d - 79, -4*c = -4*d - 600. Calculate the remainder when 447 is divided by c.
6
Suppose -z + 5*z + 2*j - 428 = 0, -5*z = 3*j - 536. Let u = z - 72. Let o = 51 + -42. What is the remainder when u is divided by o?
7
Let c(k) = 123 - 16*k**2 - k - 114 + 103*k**2 - 8*k. What is the remainder when c(1) is divided by 50?
37
Let i = -77 + 29. Let o = 49 + i. Suppose p - 3*q - 52 = q, o = -q. What is the remainder when p is divided by 10?
8
Let n = -7836 + 8080. Suppose c - 27 - 14 = 0. Calculate the remainder when n is divided by c.
39
What is the remainder when (-166 - 0)/((-93)/6 - (-15)/1) is divided by 9?
8
Let k = -9141 - -9831. Calculate the remainder when k is divided by 236.
218
Suppose -165843 = -324*r + 452349. What is the remainder when r is divided by 89?
39
Suppose -39*a - 9*a + 63 + 129 = 0. What is the remainder when 1211 is divided by a?
3
Suppose 4 = 3*p + o - 45, 3*p + 5*o - 53 = 0. Suppose -u - 220 = -5*t, -186 = -4*t + 2*u - p. Calculate the remainder when 135 is divided by t.
0
Suppose -10*j + 15 = -7*j. Suppose -3*z + 632 = j*z. Suppose 5*n = 6*n - 41. Calculate the remainder when z is divided by n.
38
Suppose 1158 = 24*b - 3594. Suppose -5*f - 2*y = 24 - 226, -5*f = -2*y - b. What is the remainder when 116 is divided by f?
36
Let w = -12868 - -16812. What is the remainder when w is divided by 84?
80
Let r = -239 - -255. Suppose 2*q - 3*w = r, -2*w = -5*w + 6. Calculate the remainder when 42 is divided by q.
9
Let a(y) = -y**2 - y - 5. Let f be a(0). Let h be -4 - (f/5)/(-1). Let s = 21 - h. What is the remainder when s is divided by 10?
6
Let k = -2198 + 3236. Calculate the remainder when k is divided by 65.
63
Calculate the remainder when 4977 is divided by (1/3)/(94/4794).
13
Let f = 18171 - 18102. What is the remainder when f is divided by 35?
34
Suppose 4*i - 602 = -3*f, -4*i + 4*f = -7*i + 462. Calculate the remainder when 448 is divided by i.
10
Suppose -5*u + 8*u - 15 = 0. Let f(m) = m**3 + 4*m**2 - 22*m + 8. Calculate the remainder when f(u) is divided by 64.
59
Suppose 0 = -101*l + 246129 + 255538. Calculate the remainder when l is divided by 9.
8
Suppose 5*k + 4*x + 34 = 253, 4*k = -2*x + 174. What is the remainder when (-942)/(-2) + (-3 + 8)/(-5) is divided by k?
40
Suppose -3*y - 59*u = -64*u - 595, y + 3*u - 217 = 0. What is the remainder when y is divided by 127?
78
Let z = 649 - 344. Calculate the remainder when z is divided by 17.
16
Let b = -7359 - -7637. What is the remainder when b is divided by 14?
12
Let k(l) = l**3 + l**2 + 1. Let n(x) = -4*x**3 - 7*x**2 - 2*x - 3. Let i(h) = 5*k(h) + n(h). Calculate the remainder when 34 is divided by i(3).
4
Suppose 0 = 4*x + 4*v - 56 - 28, -78 = -4*x - v. Let y(j) = -28*j + 1520. What is the remainder when y(53) is divided by x?
17
Calculate the remainder when 108/(-8)*8/(-4) is divided by (28/49)/((-12)/14)*-24.
11
Suppose u - 151*h - 17 = -156*h, 1 = -u + 4*h. Calculate the remainder when 189 is divided by u.
0
Suppose -3*j - w + 172 = 0, 36*w - 31*w = -5*j + 270. Calculate the remainder when 1401 is divided by j.
44
Let s(c) = -123*c + 10108. Let r = 198 - 25. Calculate the remainder when r is divided by s(