7*z + 2100*z - 1386 = -4*h, -3*z = -4*h - 1362. Calculate the remainder when z is divided by 9.
8
Suppose -9 = -2*o + 5. Let k = 20 + -16. Suppose -k*a + 8 = 0, -4*a = 3*v - v - 58. What is the remainder when v is divided by o?
4
Suppose 0 = -5*v + 15, -4*v = y - 51 - 17. Suppose 0 = i + 2*l - 12, 4*i - y = i - l. Calculate the remainder when i is divided by 6.
2
Let x = 876 + -876. Suppose 2*y = 5 - 7, x = 5*j + 3*y - 787. What is the remainder when j is divided by 80?
78
Suppose -39*p + 369 + 1971 = 0. Calculate the remainder when 1078 is divided by p.
58
Suppose -1319 - 956 = -13*z. Suppose -28*c + z = -21*c. Calculate the remainder when 497 is divided by c.
22
Calculate the remainder when 0 + 80 + 23 + -20 is divided by -5 + ((-8)/(-3))/((-6)/(-108)).
40
Let l = -15843 - -16216. Suppose 0 = w - 60 + 13. What is the remainder when l is divided by w?
44
Let g(r) = r**2 + 13*r - 12. Let x be g(-13). Calculate the remainder when 269 is divided by 46*(x/4 + 4).
39
Let b(i) = -3*i + i**2 + 0*i**2 + 19 - 4*i - 10*i. Let c be b(16). Suppose c*k - 94 = -2*y, 22 = 3*k - 4*y - 96. What is the remainder when k is divided by 14?
6
Suppose 0 = -11*y + 8*y - 4*g + 105, 45 = 5*g. Suppose 3*a = -4*q + 246, 7*q + 5*a = 2*q + 310. What is the remainder when q is divided by y?
14
Suppose -3*y = 4*n - 38 - 69, y + 2*n - 33 = 0. Suppose -15*k + 1915 = -388 - 67. Calculate the remainder when k is divided by y.
35
Let m(f) = f**3 + 17*f**2 + 36*f - 108. Calculate the remainder when 714 is divided by m(-8).
174
Let m(y) = 35*y + 3705. Calculate the remainder when 636 is divided by m(-104).
51
Let x(n) = 8*n - 28. Let t be x(4). Let p be t/((-16)/6)*-2. Suppose -13*g + 350 = -p*g. Calculate the remainder when g is divided by 13.
9
What is the remainder when 251 is divided by (-7)/((2 + 72/(-32))/((-13)/(-4)))?
69
Calculate the remainder when 314 is divided by -3*19/(-399)*1337.
123
Let u(s) = 48*s + 4243. What is the remainder when 139 is divided by u(-86)?
24
Suppose -33*p = -941 - 189 - 157. Calculate the remainder when 264 is divided by p.
30
Suppose 7*q = 14 - 0. What is the remainder when 19 is divided by (3 + (q - 2))*13/3?
6
Let d(g) = 15*g**2 - 97*g + 124. What is the remainder when d(6) is divided by 6?
4
Let c(m) = m**3 - 18*m**2 - 20*m + 3. Let a be c(19). Let j(h) = -16*h + 23. Calculate the remainder when j(a) is divided by 7.
6
Let c(f) = 30*f**2 - 1419*f - 7071. Calculate the remainder when c(-5) is divided by 25.
24
Suppose -3*g + 52 + 37 = 2*n, 0 = -3*n - g + 151. Let c(v) = v**3 + 44*v**2 + 44*v + 144. Calculate the remainder when c(-43) is divided by n.
49
Let c be 3*(-1 - 3 - -5). What is the remainder when (-9)/(-2)*(39/c - -1) is divided by 31?
1
Let c(t) = -78*t**2 - 765*t + 15. Calculate the remainder when 2333 is divided by c(-9).
5
Suppose -2*u + 304 = u + 2*x, -5*u = -5*x - 515. What is the remainder when 135 is divided by (-684)/(-14) - u/119?
39
Calculate the remainder when (202/7)/((-93)/(-651)) is divided by 70.
62
Suppose 0 = 2*p + c - 8, -6*p - 30 = -10*p + 5*c. Suppose 1544 = p*w + 3*g, 5*w + 2*g = 8*w - 915. What is the remainder when w is divided by 105?
97
Calculate the remainder when 6 - 1284*(65/10 - 7) is divided by 54.
0
Let m(j) = j**3 + 5*j**2 - 2*j + 2. Suppose 9*u - 15 = 4*u. Suppose 2*b - u*b - l = 4, -4*l = 0. What is the remainder when 75 is divided by m(b)?
23
Let p = -15583 + 15671. Calculate the remainder when 499 is divided by p.
59
Let i(h) = 4*h**2 - h + 203. What is the remainder when i(0) is divided by 18?
5
Let q(s) = -22*s + 15. Let d = -318 + 316. Calculate the remainder when q(d) is divided by 18.
5
Let p = -56 - -90. Let z = p + -24. Suppose -2*g - g + 111 = 0. Calculate the remainder when g is divided by z.
7
Suppose 7304 + 2704 = 85*o + 54*o. Calculate the remainder when 400 is divided by o.
40
Let o = 51 + -2. Let j be -9 - 0 - (-342)/38. Suppose j = 29*m - 28*m + a - 16, -5*m = -3*a - 56. What is the remainder when o is divided by m?
10
Let u(q) = q**2 + 45*q - 389. Calculate the remainder when 884 is divided by u(-59).
10
Let n be (-5)/100*-4*10. Suppose -t + 0*t - n*g = -18, 2*t - g = 31. What is the remainder when 139 is divided by t?
11
Let d = 189 + -127. Suppose -6*v - 28 = -2*t - 2*v, 0 = 4*t - 4*v - 40. What is the remainder when d is divided by (-6 + -42)*1*(-4)/t?
30
What is the remainder when 1268 is divided by (2747/(-201))/((-2)/6)?
38
What is the remainder when 3209 is divided by (6/(-11))/(74/(-4070))?
29
Suppose -3*j + 18 = -0*j, 0 = -h - 5*j + 233. What is the remainder when h is divided by 73?
57
Suppose -5434 = -532*m + 1556 + 4714. What is the remainder when 66835 is divided by m?
21
Let h = -22 + 26. Suppose -2*x = -4*n + 3*x + 99, 4*n - h*x - 100 = 0. Calculate the remainder when 67 is divided by n.
15
Suppose 1671*j + 114 = 1673*j. What is the remainder when 1762 is divided by j?
52
Let o = -9690 + 10237. Calculate the remainder when o is divided by 32.
3
Suppose -x + 45 = 3*x + 3*n, 5*x - 5*n = 100. Let r = 344 + -323. Let z = r - x. Calculate the remainder when 23 is divided by z.
5
Suppose 1426 = 66*l - 4316. Calculate the remainder when 213 is divided by l.
39
Suppose 0 = -34*c + 37*c - w - 45, 4*c + 6*w = -6. What is the remainder when 3021 is divided by c?
9
Let t = 14990 - 14966. What is the remainder when 1697 is divided by t?
17
Let d(i) = -i**2 - 12*i - 18. Let c be d(-9). Suppose c*k - 139 + 13 = 0. What is the remainder when k is divided by 13?
1
Let d = -4 + 36. Let x(v) = -v**3 + 10*v**2 - 9*v - 12. Let q be x(8). What is the remainder when d is divided by 2*(-7)/((-56)/q)?
10
Suppose 5 = -j + 6*j. What is the remainder when 37 + (-3190)/87 + 2/3 - 0 is divided by j?
0
Suppose 0 = -l - u - 1, 5*l + 2*u - 5 = -u. Suppose 3*s = 4*s - l. Calculate the remainder when (-80)/(-6) + 19/(-570)*-20 is divided by s.
2
Calculate the remainder when 270 is divided by (-30)/45*3 + 18.
14
Let w be -6 - -16 - -2*(1 + -4). Suppose 6*t + 4*m = t + 1006, m = w. Calculate the remainder when t is divided by 67.
64
Suppose -5*l - 3*w = -6305 - 871, 0 = 2*l + 2*w - 2868. Calculate the remainder when l is divided by 80.
77
Let z = -16608 + 16800. Calculate the remainder when 242 is divided by z.
50
Suppose -q - 9040 = -6*q - 11*q. What is the remainder when q is divided by 186?
7
Suppose j - 1364 + 1487 = 3*i, -4*i = -5*j - 164. What is the remainder when 242 is divided by i?
37
Let o = 3126 - 2940. What is the remainder when 733 is divided by o?
175
Let q(o) = o**2 - 18*o + 3. Let u be q(15). Let t = u - -46. Suppose -3*f + 17 - 40 = -2*b, 0 = -t*b - 5*f + 13. What is the remainder when 13 is divided by b?
6
Suppose 0 = u - 2*w - 613, 6*w + 10 = w. Suppose -28*y + u = -7*y. What is the remainder when 46 is divided by y?
17
Let i(q) = 853*q + 4290. Let u = 202 - 131. What is the remainder when u is divided by i(-5)?
21
Let v = -101 + 100. Calculate the remainder when 170 - 76 - (1*v + 4) is divided by 23.
22
Suppose -4*l + 3*h = -11, 0 = -3*l - 0*l + 2*h + 8. Suppose 4*x = -4*p + 768, -l*x + 793 = 2*x - p. What is the remainder when x is divided by 40?
37
Let a(f) = -f**3 + 21*f**2 + 71*f - 62. What is the remainder when a(23) is divided by 86?
83
Let j = -93 - -107. Suppose 0 = -j*n + 35 + 133. Calculate the remainder when 116 is divided by n.
8
Suppose 43*r + 36215 - 135114 = 34788. Calculate the remainder when r is divided by 18.
13
Let s = -8673 + 8676. Calculate the remainder when 2420 is divided by s.
2
Suppose 43*k = 235*k - 3456. What is the remainder when 24784 is divided by k?
16
Calculate the remainder when (-1*(-25)/(-20) - (-3)/4)*-2676 is divided by 102.
12
Let a = 408 + -287. Suppose -4*p - 5*r + 195 = 0, 84 + a = 4*p + 3*r. What is the remainder when p is divided by 29?
26
Let c = 128 - 130. Calculate the remainder when 22 is divided by c + 6 + 0 + 17.
1
What is the remainder when 778 is divided by (686 + -671)*(-55)/(-3)?
228
Let x = -562 + 621. Suppose x = -4*o + 191. What is the remainder when 64 is divided by o?
31
Let q(b) = b**3 - 7*b**2 + 8*b + 2. Let s = 107 + 46. Let z = 190 - s. What is the remainder when z is divided by q(6)?
9
Suppose d + 15*d - 1674 = -11*d. What is the remainder when 928 is divided by d?
60
Let h be 80/56*(-42)/(-15). Suppose 3*r - 157 =