ppose -5*a + 1456 = -x - 161, 4*a = 5*x + 1281. What is the remainder when 1641 is divided by a?
21
Suppose 8*a - 3*u = 5*a + 69, 4*u = -2*a + 28. Calculate the remainder when 111 is divided by a.
11
Suppose 9*j - 15 = 4*j. Suppose -m = -j*m - 12. What is the remainder when 25 is divided by (6 + 1)/(3/m*-1)?
11
Let i(b) = -3*b**3 + 4*b**2 - 2*b - 1. Let a(c) = -2*c - 50. Let n be a(-24). Let o be i(n). Let j = 55 - o. What is the remainder when 32 is divided by j?
8
Suppose 4*x - k - 566 = 0, -5*x + 3*k - 2*k = -707. Suppose -y - 2*g = -441 + x, -3*y - 3*g = -897. Calculate the remainder when y is divided by 76.
70
What is the remainder when 723 is divided by 21/(-9) + (38/24)/(7/280)?
52
Suppose 384*b - 145 = -3*z + 389*b, -3*b + 27 = 2*z. Calculate the remainder when (1045/2)/(-5)*-2 is divided by z.
29
Let k(i) = -i**2 - 18*i + 30. Let p be k(-18). Let b = 30 - p. Suppose b = -4*j + 25 + 11. Calculate the remainder when 25 is divided by j.
7
Suppose 3*r = 4*t + 4622, -4*r + 3759 + 2441 = 4*t. What is the remainder when r is divided by 66?
28
Suppose 20*s + 88*s + 7084 = 614*s. What is the remainder when s is divided by 18*2/8*2?
5
Let i = 929 - 916. What is the remainder when i is divided by 8?
5
Let u = 11255 - 10380. Calculate the remainder when u is divided by 27.
11
Let x(c) = 6 - 1 + 7 - 2*c - 5*c**2 - c**3. Let t be (3 - 2)*(50/(-5) - -5). What is the remainder when 63 is divided by x(t)?
19
Suppose -16 = -3*x - c, -7*c = -3*x - 2*c - 8. Let a be x - (4 - 3) - -3. Calculate the remainder when a/(-5)*60/(-36) is divided by 1.
0
Calculate the remainder when 11/(-22)*-668 - -15 is divided by 91.
76
Let a = 1073 + -1061. Calculate the remainder when a is divided by 2.
0
Let q(p) = -p**2 - 2*p + 120. Let d be q(10). Suppose d*h - 2*h = -3*x - 81, -3*x = 15. What is the remainder when 110 is divided by h?
11
Suppose 4*h + 20 = 0, -1 = p + p + h. Suppose q - 3*j - 2*j - 22 = 0, -p*q = j - 77. Calculate the remainder when 220 is divided by q.
35
Let g(x) = -x**3 - 27*x**2 - 171*x - 1319. Suppose 5*k - 3*c - 276 = 0, 4*c - 22 - 275 = -5*k. What is the remainder when k is divided by g(-22)?
11
Let t(y) = -13*y**2 - 17*y**2 + 37 - y**3 - 29*y + 3*y**2 - 4*y**2. What is the remainder when (-11)/(44/(-40)) + -1 is divided by t(-30)?
2
Suppose 3*v + 38 - 11 = d, -3*d + 4*v + 81 = 0. Suppose -5125 = -14*n - d*n. What is the remainder when n is divided by 69?
56
Suppose 7*f + 3*f = 3*f. Suppose -t + 49 + 15 = f. Let y = 73 - t. Calculate the remainder when 9 is divided by y.
0
What is the remainder when 280 is divided by (94 - (-11 + 28)) + (2 - 13)?
16
Let a = -173 - -181. Calculate the remainder when 3 - (-5 + 2 - 704/a) is divided by 24.
22
What is the remainder when 908 is divided by (48/(-10))/(1*21/(-1365))?
284
Let a(z) = -z**2 - 9*z + 86. Let f be a(-13). Let v = 55 - f. What is the remainder when 39 is divided by v?
18
Suppose 58*m - 15162 = 20*m. Let c = 456 - m. What is the remainder when c is divided by (-21)/(-2) - 1/2?
7
Suppose -3777 + 696 = -39*f. Calculate the remainder when 460 is divided by f.
65
Let m be 18 + (-4 - -3) - -2. Suppose m - 7 = 3*b. Let q(o) = 2*o - 3. What is the remainder when 11 is divided by q(b)?
1
Let j be (40 + -43)/((-2)/(-94)). Let p = -121 - j. What is the remainder when 67 is divided by p?
7
Let o(w) = 865*w + 2625. Calculate the remainder when 536 is divided by o(-3).
26
Suppose 283 - 156 + 188 = 35*y. Calculate the remainder when 584 is divided by y.
8
Let u(m) = 2*m - 24. Suppose -191 + 26 = -b - 5*a, 5*a = 0. What is the remainder when b is divided by u(16)?
5
Let o(p) = 15*p**2 - 15*p + 9. What is the remainder when 1999 is divided by o(3)?
19
Suppose -1338 = -22*s - 30*s + 534. What is the remainder when 13928 is divided by s?
32
Let j be -1 - -2 - (-66 - 4). Let h = 138 - j. Calculate the remainder when h is divided by 23.
21
Let j = 112 + -109. Let o(c) = 6*c**3 + 3*c**2 + 3*c - 4. What is the remainder when o(j) is divided by 39?
38
Let b(y) = -127*y + 110. Let g be b(3). Let q = -254 - g. What is the remainder when 35 is divided by q?
1
Let c be 886/(-18) - (-112)/504. Let q = c + 129. Calculate the remainder when 237 is divided by q.
77
Let n = 1866 + -1678. What is the remainder when n is divided by 87?
14
Suppose -33*f = 141*f - 281774 - 32992. Calculate the remainder when f is divided by 151.
148
Calculate the remainder when ((-968)/(-16))/((1/(-21))/((-12)/18)) is divided by 10.
7
Suppose -1238*a + 1182*a + 504 = 0. Calculate the remainder when 5633 is divided by a.
8
Let i = 2159 + -1518. What is the remainder when i is divided by 110?
91
Suppose -1312 + 1711 = 19*p. What is the remainder when 2934 is divided by p?
15
What is the remainder when 984 is divided by ((-20)/25)/(-2) - (-11396)/35?
6
Let s be 6/21 - (-69054)/(-119). Let d = s + 655. Calculate the remainder when 1047 is divided by d.
72
Suppose 2230*h = -4*r + 2231*h + 282, r + 4*h = 79. What is the remainder when 866 is divided by r?
14
Let c(x) be the second derivative of x**4/12 + 4*x**3/3 + 9*x**2 + 5*x. Let z be c(-6). What is the remainder when 40/z*594/45 is divided by 13?
10
Suppose 2*n - 208 = -5*f + 138, -4*f + 547 = 3*n. What is the remainder when 811 is divided by n?
39
Let h(f) = 20*f - 56. Let c(p) = -2*p. Let x(k) = -12*c(k) - h(k). What is the remainder when x(-12) is divided by 8?
0
Suppose 4*h = -247 - 221. Let c = h - -147. Calculate the remainder when c is divided by 13.
4
Suppose 0 = -10*c - 355 + 385. Suppose -2*g - c*x + 136 = -0*g, -2*g + 2*x + 136 = 0. Calculate the remainder when g is divided by 24.
20
Let o(l) = -16*l - 11. Let k(d) = -8*d - 7. Let n(h) = -7*k(h) + 4*o(h). Calculate the remainder when n(-28) is divided by 47.
41
Suppose 172*l + 366*l - 150140 = 419064. What is the remainder when l is divided by 75?
8
Suppose 131*o - 13967 - 4715 + 735 = 0. Calculate the remainder when o is divided by (-29)/(-1) + (1 - 2).
25
Suppose -116*v = 33 - 845. What is the remainder when 26*(2 + (3 - 4)) is divided by v?
5
Suppose 5*i + 3*n = 123883, 0 = 4*i - 5*i - n + 24777. What is the remainder when i is divided by 21?
17
Let c(b) = 3*b**2 - 5*b + 5. Let k be c(4). Suppose -k*u + 1068 + 813 = 0. Let p = -60 + 89. What is the remainder when u is divided by p?
28
Suppose -98*t + 240804 = -167*t + 105*t. What is the remainder when t is divided by 30?
29
Let q = -1353 - -1775. What is the remainder when q is divided by 4?
2
Let n(o) = 5*o**3 + 3*o**2 - 1. Let t(z) = -z**3 + 6*z**2 - 7. Calculate the remainder when n(3) is divided by t(5).
17
Let v(y) = -2*y**2 + 50 - 49 + 0*y**2 - 54*y**3. Suppose 2*s = -o + 24, 4*o - 5*o - 74 = -5*s. Calculate the remainder when v(-1) is divided by s.
11
Let w be 3*-13*(-6)/(5 + 1). Suppose 443*y - w = 440*y. What is the remainder when 13 is divided by y?
0
Let u = 1122 - 615. Let j = u + -459. What is the remainder when j is divided by 7?
6
Let p(z) = 13*z - 12. Suppose 7*a = f - 1061 + 1175, -a = f - 14. Calculate the remainder when p(8) is divided by a.
12
Let s(b) = -13*b - 70. Let t be s(-7). Suppose -a + 4*o = -32, -a + 13 = -5*o - t. What is the remainder when 61 is divided by a?
13
Suppose -3947 - 4019 = -32*t + 386. What is the remainder when 541 is divided by t?
19
Let i(n) = 3*n**2 + 5*n - 167. Calculate the remainder when i(-12) is divided by 189.
16
Suppose -2*l + 264 = -t, 2*l - 7*t + 137 - 413 = 0. What is the remainder when l is divided by 85?
46
Let x = 409 - 383. Calculate the remainder when 49 is divided by 11536/728 + 4/x.
1
Let b = -3 + 8. Suppose -2*h + 5*u + 21 = 0, 5*h - b*u - 21 = -3*u. Suppose h*m - 87 = -3*r, 3*r = r + 5*m + 79. What is the remainder when 127 is divided by r?
31
Let j(r) = -5 - 2*r - 2 - 1 + 0 + r**2. Let i(b) = -b - 6. Let d be i(-11). Calculate the remainder when 12 is divided by j(d).
5
Suppose 2*f - 4 = 0, -523 = 5*s + 2*f - f. Let a = -103 - s. Calculate the remainder when 18/4*(-8)/(-6) is divided by a.
0
Suppose t + 21 = 4*t. Let n be -2 - (4/(-1) + 1 + -2). Suppose 78 = n*g - 5*w, -3*g + 3*w - 6*w + 78 = 0. What is the remainder when g is divided by t?
5
Suppose -59*v - 37947 + 95708 = 0. What is the remainder when v is divided by 123?
118
Suppose -139 = -3*m - 145, 2*m + 2768 = 4*l. What is the remainder when 2078 is divide