9, -d*w + 2*w - 5*i = -13. What is the remainder when 29 is divided by w?
5
Suppose 0 = -0*s - 5*s + 15. Suppose 0 = t - s*w - 5, -w = 2*w. What is the remainder when (5 - -5) + (-3)/1 is divided by t?
2
Suppose r + 4*r = -45. Suppose 2*l + 3*f = -1, 5*l + l = -4*f - 18. Calculate the remainder when 59 is divided by 7 + -1 + (l - r).
9
Let n(v) = 13*v - 22. Let c(x) = 5*x + 25. Let d be c(-4). Calculate the remainder when 386 is divided by n(d).
42
Let f(u) = -u**2 - u + 93. Let k(v) = -9*v + 169. Let a be k(18). Calculate the remainder when 1072 is divided by f(a).
36
Suppose -5*r = -0*r - 155. Let y = 71 - 13. What is the remainder when y is divided by r?
27
Suppose -4*t + 4*f = -240, -4*t - 29*f = -26*f - 233. What is the remainder when 102 is divided by t?
43
Let n(d) = 10*d - 9. Let y(q) = -8*q - 30. Suppose 77*s = 82*s + 30. What is the remainder when n(6) is divided by y(s)?
15
Suppose 9*i + 4*i - 39 = 0. Suppose 2*t - i*j + 5*j = 68, 5*t - 168 = -3*j. Calculate the remainder when t is divided by 9.
6
Let t(q) = 427*q - 4730. Calculate the remainder when t(12) is divided by 103.
85
Suppose 0 = 10*y - 426 + 86. Suppose -5*d = -3*k + 69, k + 2*d - y = -0*k. What is the remainder when 248 is divided by k?
24
Let x(r) = -5*r + 6. Let h be x(-10). Let y = h - 5. Let k = 53 - y. Calculate the remainder when 5 is divided by k.
1
Let s(c) = 4*c**2 - 51*c - 29. Let k be s(11). Let m = k - -128. What is the remainder when 233 is divided by m?
13
Suppose 52 = 21*z - 32. What is the remainder when (2 - -230)/(z + -2) is divided by 25?
16
Let w = -6234 + 6395. Calculate the remainder when w is divided by 73.
15
Suppose -4*c + d + 1114 = 0, 3*c - 4*c + 282 = -2*d. What is the remainder when c is divided by 50?
28
Let u = 245 - 244. What is the remainder when 37 is divided by 15*-6*(u - 21/18)?
7
Let d = 118 - 63. Let z = d - -15. Suppose 0 = -6*t + 200 - 56. Calculate the remainder when z is divided by t.
22
Suppose -84899 = -712*b + 639*b. What is the remainder when b is divided by 46?
13
Let f(d) = -173*d + 1257. What is the remainder when 1660 is divided by f(7)?
4
Suppose 7*c = 2*c + 75. Let y be c/3*(-48)/20. Let q(f) = f**2 + 10*f + 4. What is the remainder when q(y) is divided by 16?
12
Suppose 3*w - 334 - 100 = -2*d, 0 = -5*w - 2*d + 730. What is the remainder when 2194 is divided by w?
122
Let i = 3346 - 3319. Calculate the remainder when 1106 is divided by i.
26
Suppose 20*g + 67*g - 12*g - 39525 = 0. Calculate the remainder when 1065 is divided by g.
11
Suppose 2*y = -5*n + 437, 36*y - 41*y = 4*n - 336. What is the remainder when n is divided by 87?
2
Suppose 12*y - 3808 - 512 = 0. Let d = -281 + y. Calculate the remainder when d is divided by 42.
37
Suppose 3*w - 29 = 100. Let a be (-12)/(-3)*-1 + w. Calculate the remainder when a/(-4 + (0 - (-52)/12)) is divided by 30.
27
Let r be (-4)/(-2*(-1)/(-32)). Let d be r/(-5)*(0 - 5). Suppose -d = -13*n + 11*n. What is the remainder when n is divided by 11?
10
Suppose 7*i - 11*i = 0. Let z be (5 - i)/((-3)/(-51)). Suppose z = 5*q - 5. Calculate the remainder when 69 is divided by q.
15
Let p(j) = 20*j**2 - 18*j - 8. Let n be 2/4*(-2 + 10). Suppose 48 = n*z + 2*y, 0*z + 2*y - 9 = -z. Calculate the remainder when p(2) is divided by z.
10
Suppose 0 = -2*m - 22. Let z(v) = -5*v - 31. Let c = 41 - -53. Calculate the remainder when c is divided by z(m).
22
Let g(c) = 83*c - 87. Suppose -j = 3, -5*j - 5 = 5*l - 0. What is the remainder when g(l) is divided by 46?
33
Let m(i) = 3*i - 12. Let o be m(7). Suppose -r = 3*r - o*r. Suppose 5*d + 14 - 129 = r. Calculate the remainder when 38 is divided by d.
15
What is the remainder when 490 is divided by (-8 + -74)*(-18)/12?
121
Let d(y) = -y**2 + 6*y - 10. Let j be d(9). Let m = 41 + j. Suppose -35 = -m*l + 5. What is the remainder when 28 is divided by l?
8
Suppose -2*a + 3 + 2 = b, 0 = b + 5*a - 5. Suppose b*p - 2*w - 50 = 81, -w - 133 = -5*p. Let v = p + 63. Calculate the remainder when v is divided by 23.
21
Let l(k) = 7113*k + 71146. Suppose -2*v = -259 - 695. Calculate the remainder when v is divided by l(-10).
13
Let x be -1*((-156)/1 - (5 - 4)). Suppose -32 = -7*i + x. What is the remainder when 3/(-18) + (-1022)/(-12) is divided by i?
4
Let m(o) = -7*o + 1. Let t(r) = -r**3 - 9*r**2 + 10*r - 2. Let l be t(-10). Calculate the remainder when (-33)/(-4)*16/3 is divided by m(l).
14
Let r(a) = a**3 - 16*a**2 + 11*a + 65. Let f be r(15). Suppose -5*o + 269 = 3*g, -f*g + 2*g = -4*o - 260. Calculate the remainder when g is divided by 43.
2
Suppose 4*y - n = 495, -301 = -4*y + 3*n + 192. What is the remainder when 369 is divided by y?
121
Let y(b) = -b**2 + 94*b - 1194. Calculate the remainder when y(72) is divided by 97.
2
Suppose 298 = 20*h + 89*h - 138. What is the remainder when 1292 is divided by h?
0
Calculate the remainder when 257 is divided by (-7)/((-7)/60) - (39 - 32)/(-7).
13
Let b(u) = -181*u + 4280. Let c(s) = -s**3 - s - 2. What is the remainder when b(23) is divided by c(-2)?
5
Let r be ((-2)/6)/((-9)/(-243)). Suppose -4*b = -0 - 20. What is the remainder when (-60)/r + (1 - (-25)/(-15)) is divided by b?
1
Suppose -2*h - 2*o + 1320 = 0, 54*h - 5*o + 1982 = 57*h. Calculate the remainder when h is divided by 87.
50
Let j(r) = 9*r**2 - 95*r - 3521. What is the remainder when j(-39) is divided by 15?
13
Suppose -6*i - 69 = -9*i. Let b be (-1)/((-38)/8 + 5). Calculate the remainder when (-263 + b)/(-2 - 1) is divided by i.
20
Let s be 2/12 + (-1)/6. Suppose -6*d = -s*d + 180. What is the remainder when 20 is divided by (-2)/(-10) + (-324)/d?
9
Let g(r) = r**2 + 71*r - 2314. Calculate the remainder when g(27) is divided by 28.
24
Suppose 0 = 31*v - 13*v - 54. Suppose -v*r + 12*r - 36 = 0. Suppose 11 = 5*m - 44. What is the remainder when m is divided by r?
3
Let o = -9973 - -10070. What is the remainder when 23182 is divided by o?
96
Suppose 10 = -2*f + 24. Suppose 11*z - 4554 = -2728. Calculate the remainder when z is divided by f.
5
Suppose 2*s - 87 - 49 = 0. Suppose -53*r + 96 = -49*r. Calculate the remainder when s is divided by r.
20
Suppose 24*r = 2*b + 21*r - 21, -b = -2*r - 10. Suppose j + 4 = 4*h + 42, -2*j - 4*h + 16 = 0. What is the remainder when j is divided by b?
6
Calculate the remainder when -172 - -159 - (-1142 - -1) is divided by 113.
111
Let t(y) = 88*y + 3170. Calculate the remainder when 709 is divided by t(-34).
175
Let g = -59 + 55. Let a be 366/g*((-5 - -5) + -2). Suppose 3*k - a = -3*x, -5*k - 150 = -3*x + x. Calculate the remainder when x is divided by 22.
21
Let n(t) = 77*t. Let m(s) = -7*s. Let y(l) = 56*m(l) + 5*n(l). Suppose -6*j + 12 = -2*j. Calculate the remainder when y(-2) is divided by j.
2
Let q = 5 + 41. Suppose 3*z + 5*j - q = 10, -z - 4*j + 28 = 0. Let b(p) = 5*p**3 - 11*p**2 + 155*p - 284. Calculate the remainder when b(2) is divided by z.
10
Suppose 5*j = 3*o - 11951, -4*o = 1909*j - 1908*j - 15950. What is the remainder when o is divided by 5?
2
Let a be 530 - -30 - (-3 + 2)*3. Let s = a - 533. What is the remainder when 133 is divided by s?
13
Suppose -25*h + 9*h + 4922 = -3062. Calculate the remainder when h is divided by 18.
13
Let s = -7943 + 7953. What is the remainder when 29 is divided by s?
9
Suppose 3*r - 3*l = l + 43, 0 = -5*r - l + 41. Let u be -1 + -3*(-147)/r. Suppose -k + 1 = 0, 3*k + 0 + u = 3*x. What is the remainder when 166 is divided by x?
13
Let c(m) = -27*m - 388. Calculate the remainder when 620 is divided by c(-22).
2
Suppose 246*n - 2399 - 21409 = -138*n. What is the remainder when 616 is divided by n?
58
Let i be (-87)/(-2)*(-70)/(-15). Suppose x + 4*j = 89, x = 4*x - 4*j - i. What is the remainder when x is divided by 19?
16
Let c = -3185 + 3257. Calculate the remainder when c is divided by 33.
6
Suppose 5*r - 743 = 2*n, 382 = -n + 8*r - 9*r. Let s = n - -442. What is the remainder when s is divided by 10?
3
Let c(h) = 477*h - 2314. What is the remainder when 1197 is divided by c(5)?
61
Calculate the remainder when 1684 is divided by (-5 - 0)*9/54 + 82519/1074.
12
Let b(k) = 17*k**2 - 23*k + 97. Let x be b(7). Let m = x - 715. Calculate the remainder when m is divided by 19.
16
Let k = -25282 - -25433. Let q(s) = -81*s - 1. What is the remainder when k is divided by q(-1)?
71
