
3
Let a = 972 - 970. What is the remainder when 19 is divided by a?
1
Let p = 10606 + -10593. What is the remainder when p is divided by 11?
2
Let d be (-1 - (-3 - 1)) + 557. Suppose 2*n - 18*n = -d. What is the remainder when n is divided by 31?
4
Let b(m) = -32*m + 3. Let z(o) = -493*o - 2425. What is the remainder when b(-6) is divided by z(-5)?
35
What is the remainder when 12932 is divided by (0 + (-398)/(-4))/(6615/98 + -67)?
196
Suppose 284*k = 98*k + 12834. What is the remainder when 253 is divided by k?
46
What is the remainder when (-2578)/(-3) + (-76)/(-6) + -13 is divided by 142?
7
Suppose 3*m - 6 - 12 = 0. Let d be ((-8)/(-6))/(48/108) - 0. Suppose -d*t = m*t - 693. Calculate the remainder when t is divided by 13.
12
Let o(g) = -g**2 - 8*g - 17. Let k be o(-4). Let d(r) = -4*r**3 + r**2 + 3*r + 2. Suppose 4*a + 17 = 25. What is the remainder when d(k) is divided by a?
0
Suppose 0 = 8*d - 4*g - 753 - 723, 4*d = -5*g + 689. What is the remainder when 721 is divided by d?
178
Let n be 1*(0 + -1)*-9. Let j be 2/(-3 - 305/(-101)). Suppose -n*c - j = -299. Calculate the remainder when c is divided by 14.
8
Suppose -5*f + 5*h + 235 = 0, -5*h - 17 = f - 40. Calculate the remainder when 1157 is divided by f.
39
What is the remainder when 139 is divided by ((-11)/(-4))/(8464/704 + -12)?
18
Suppose 143 - 287 = -8*o. Calculate the remainder when 16343 is divided by o.
17
Suppose -5*o + 46 = 241. Let u = o - -47. What is the remainder when 37 is divided by 2/10 + 192/15 + u?
16
Let v = 22 + 19. Let l = 3124 - 3102. What is the remainder when v is divided by l?
19
Let a(y) = y**3 + 21*y**2 - 46*y + 23. Let j be a(-23). Suppose 41*v - j*v - 756 = 0. Let u(n) = -5*n - 7. Calculate the remainder when v is divided by u(-6).
19
Let p(x) = -30*x - 3. Let q(u) = 559*u - 1112. What is the remainder when p(-2) is divided by q(2)?
3
Suppose 3*g = -25*g + 168. Suppose 5*u - 24 = -4*q, 0 = 2*q - u - 32 + g. Calculate the remainder when 39 is divided by q.
6
Suppose 2*t = 8*t - 810. What is the remainder when t is divided by 128?
7
Let q = -8294 + 8836. What is the remainder when q is divided by 134?
6
Let o be (-3)/((-10655)/1520 - -7). Let z = o + -279. Calculate the remainder when 67 is divided by z.
17
Suppose 23*x - 28*x - 1997 = -2*k, 0 = -2*k + 3*x + 2011. Calculate the remainder when k is divided by 85.
81
Suppose b + 5*g - 27 = -2*b, -100 = -4*b + 4*g. What is the remainder when 117 is divided by b?
3
Suppose 223*q + 15 = 225*q - 5*g, -2*g + 6 = 0. What is the remainder when 66 is divided by q?
6
Let w = 67 - 31. Suppose w*x - 39*x = -132. What is the remainder when x is divided by 12?
8
Let q(b) = b**3 + 19*b**2 + 61*b + 146. Calculate the remainder when q(-15) is divided by 19/2*(1 - -1).
17
Let n(a) = 507*a**2 - 9*a + 14. Calculate the remainder when n(1) is divided by 27.
26
Let n = -3327 + 3679. Calculate the remainder when n is divided by 113.
13
Suppose 17684 = 141*v - 5724 - 18469. What is the remainder when v is divided by 223?
74
Calculate the remainder when 246 is divided by 255 + (117/(-12) - (-9)/(-36)).
1
Let l be 182/(-4)*(-24)/(-4). Let y = -260 - l. Calculate the remainder when y is divided by 7.
6
Let n = 14278 - 14129. What is the remainder when n is divided by 68?
13
Let o = -158 - -155. Let i(t) = 5*t + 25. What is the remainder when 12 is divided by i(o)?
2
Let o = 2869 - 2852. Calculate the remainder when 692 is divided by o.
12
Suppose 6*d - 973 = 5*d + 2*z, z = 2*d - 1925. What is the remainder when d is divided by 99?
68
Let a = 177 + -144. Suppose -i = 4*y - a, 2*i - 3*y - 24 = -13. What is the remainder when 123 is divided by i?
6
Suppose 2*p = -2*b - 6, 5*p + b + 0 + 7 = 0. Let m = 10030 + -9944. Calculate the remainder when m is divided by ((-2)/4)/(p/60).
26
Let p(o) = -10*o**2 - 709*o + 174. What is the remainder when 819 is divided by p(-71)?
98
Suppose 4*y - 457 = -g, -y - 1491 = -4*g + 286. Suppose -4*z = -2*k - 815 - 983, -z + 5*k = -g. What is the remainder when 2 - 5 - z/(-5) is divided by 18?
15
Let a(n) = -206*n**3 + 1. Suppose -8 = -2*c, -7*h + 2*h + 3*c = 17. What is the remainder when a(h) is divided by 42/8*24/(-14)*(-1510)/453?
27
Suppose 3143*o + 2856 = 3157*o. Calculate the remainder when o is divided by 19.
14
Suppose -h - 5*r + 670 = 442, 4*h - 2*r = 890. What is the remainder when h is divided by 80?
63
Calculate the remainder when 2726 is divided by (378/10 + (-252)/(-210))/(3/2).
22
Let k be (2 - 15/6) + 180/(-24). What is the remainder when (122 + -1 - k/2)/1 is divided by 32?
29
Let p(h) = h**2 - 56*h - 1418. Calculate the remainder when 165 is divided by p(-19).
4
Suppose 13*t - 2138 = -2*u + 17*t, 2*u - 2143 = -t. Suppose u = 75*r - 68*r. Calculate the remainder when r is divided by 53.
47
Let b = 404856 + -404698. Let d = -18 + 36. Calculate the remainder when b is divided by d.
14
Calculate the remainder when 170 is divided by -4*(459/(-36))/17*65/15.
1
Let a = 19343 - 14445. Calculate the remainder when a is divided by 69.
68
Let p = 21512 - 21368. Calculate the remainder when p is divided by 3/((-900)/(-296) + -3).
70
Let m = 9236 + -9144. Calculate the remainder when 744 is divided by m.
8
Let z(h) = -4*h**2 - 313*h + 147. Calculate the remainder when z(-78) is divided by 44.
5
Suppose -21*k + 19*k = -166. Suppose 37*m - 4 = -j + 42*m, -m = -5*j + 116. What is the remainder when k is divided by j?
11
Let t = -2689 + 2975. What is the remainder when t is divided by 99?
88
Let z(a) = 19*a**2 - 3*a. Suppose 2320*c = 2547*c - 110549. What is the remainder when c is divided by z(2)?
67
Suppose 0 = -22*v + 31*v - 423. Suppose -19 + 3 = -2*j - 5*h, -j + 8 = -2*h. What is the remainder when v is divided by j?
7
What is the remainder when 662 is divided by 42*((-1)/4)/(3/(-6))?
11
Suppose -15*j + 7*j - 108*j = -3712. Calculate the remainder when 927 is divided by j.
31
Let n(o) = -9*o - 97. Let f be n(-11). Suppose 3*s + 12 = 0, f*s - 3 = b + 4*s. What is the remainder when 92 is divided by b?
2
Suppose 0 = w - 3, -1 = -2*m + w - 0*w. Suppose -3*j + 5*f = -176 - 150, m*j - 3*f - 217 = 0. What is the remainder when j is divided by 42?
23
Let t = -83 - -81. Let f be 11 + 32 + (0 - t). Suppose 3*d - 6*d = 0, 0 = 5*i - 3*d - f. Calculate the remainder when 12 is divided by i.
3
Let h(m) be the second derivative of -m**3/3 + 59*m**2/2 - 122*m. Calculate the remainder when h(16) is divided by 16.
11
Let u = -5 + 3. Suppose 0 = -6*q - 17 + 185. Calculate the remainder when 79 + (0 - 4/u) is divided by q.
25
Suppose 4*v = 5*v - 2*p + 1, -4*v - 3*p + 29 = 0. Suppose 4*q = 2*q + i + 121, v*i - 221 = -4*q. Calculate the remainder when 174 is divided by q.
56
Let s(h) = 190*h + 14402. What is the remainder when s(-47) is divided by 342?
0
Calculate the remainder when 264 is divided by ((-2808)/(-20))/6 - (-4)/(-10).
11
Suppose -429*w - 275 = -454*w. Let h be (0 + (-4)/12)*-6. Suppose y - h*y + 1 = 0, -z + 4*y = -14. What is the remainder when z is divided by w?
7
Let l be 10968/4*9/2. Suppose 45463 = 28*c + l. Calculate the remainder when c is divided by 37.
36
Let q = -881 + 2768. What is the remainder when q is divided by 45?
42
Suppose -58548 - 36188 = -163*n - 219*n. Suppose 0 = 4*p + 22 - 62. Calculate the remainder when n is divided by p.
8
Let q = 68 - -10. Calculate the remainder when (84 - -8) + 12/(-6) is divided by q.
12
Suppose 0 = u + 3*z - 43, 0 = u + z - 24 - 19. Suppose 0 = -4*c - g + 830, 2*c - 424 = 65*g - 61*g. Calculate the remainder when c is divided by u.
36
Suppose -133*r = -59*r - 6952 + 144. What is the remainder when 571 is divided by r?
19
Suppose 5*f - 4*n = -16, -2 = 3*f + 2*n - 10. Suppose f = -2*c - 0*c + 80. Calculate the remainder when c is divided by (-1 + 76)*(437/95)/23.
10
Calculate the remainder when (0 + -254 + 1)/(10 - 11) + -7 is divided by 164.
82
Let p(w) = -5*w**3 - w**2 + 2*w + 2. Let k be p(-1). Suppose 4*j + k*o = 272, -2*j + 4*o + 61 + 57 = 0. What is the remainder when j is divided by 11?
10
Let l(w) = 10*w**2 - 20*w + 20. Let g = -25 - -39. Calculate the remainder when l(1) is divided by (-4)/g - (-111)/21.
0
Let a be (-4)/(-1) + (-3)/3. Let h be ((-11)/33)/(1/a)*-5. Suppose 0 = h*d - 36 - 4. What is the remainder when 15 is divided by d?
7
Let o = 17370