?
8
Suppose -3177 = 15*x - 4932. Calculate the remainder when 169 is divided by x.
52
Suppose -484*x + 503*x - 95 = 0. Let s = -5 - 7. Calculate the remainder when 4/(-16) + (-291)/s is divided by x.
4
Suppose -8*j = -58*j + 44600. Let v = j - 872. What is the remainder when v is divided by 3?
2
Let z be (-215)/(-20) + 3/(-4). Suppose 14*r = 9*r + z. Suppose -p - 110 = -6*p + 5*i, 0 = -r*p + 5*i + 47. What is the remainder when 39 is divided by p?
18
Let a(y) = -3874*y - 1537. What is the remainder when a(-5) is divided by 41?
39
Let j = -14 + 38. Let p be (318/j)/(1/4). Let g = 89 - p. Calculate the remainder when g is divided by 20.
16
Let d be -10*(22/(-10) + -3 + 4). Let z be d*(-3 + 2)/3 - -9. Calculate the remainder when 29 is divided by (77 - 12)*1/z.
3
Suppose 0 = -0*x - 2*x + 120. Suppose 0 = 3*o - 39, -2*q + 0*q + 429 = -521*o + 526*o. Calculate the remainder when q is divided by x.
2
Suppose 20*h - 1313 - 6327 = -20*h. Calculate the remainder when h is divided by 51.
38
Let i be -3*(24/(-18) + 0). Suppose q = 2*b - 126, -b = -i*b + 5*q + 182. What is the remainder when b is divided by 19?
7
Suppose -2*q + 33 = -163. Calculate the remainder when q is divided by 3 + (-10 - (9 - 31)).
8
Let y(o) = 2*o**3 - 3*o**2 - o + 4. Let w be y(1). Suppose 0 = w*u + 5*u - 602. Calculate the remainder when u is divided by 15.
11
Suppose f - 200 = -3*f. Let o(r) = -50*r - 142. Let c be o(-4). Suppose c = 9*d - f. Calculate the remainder when 68 is divided by d.
8
Suppose -2520 = 728*j - 371*j - 372*j. What is the remainder when j is divided by 4?
0
Let d = 7 + 7. Let l be -537 + (0 - 2) + (-90)/30. Let v = l + 566. What is the remainder when v is divided by d?
10
Suppose -2*l = c - 4, c = -2 - 2. Let y be (6*-6)/l*(-28)/6. Suppose y*v = 46*v - 12. What is the remainder when 3 is divided by v?
0
Let u(p) = -13*p**2 + 6*p - 10. Let f(x) = 11*x**2 - 5*x + 11. Let n(r) = -7*f(r) - 6*u(r). What is the remainder when n(9) is divided by 15?
10
What is the remainder when (187/5 - 3)/((-16)/(-3200)*16) is divided by 246?
184
Suppose 935 = 5*t + 870. Calculate the remainder when 1766 is divided by t.
11
Let r = 636 + -647. Let b(g) = -23*g - 195. What is the remainder when 463 is divided by b(r)?
57
Suppose -k = 2*k + 4*o - 15, -4*k + 4*o + 20 = 0. Suppose 0 = k*q - 68 - 117. Calculate the remainder when 146 is divided by q.
35
Suppose 5*g - h = 65, -3*g = -5*g - 2*h + 38. Suppose g*j + 380 = 5*q + 9*j, -q + 76 = 3*j. Calculate the remainder when q is divided by 21.
13
Suppose 1410*c - 4*v - 14344 = 1406*c, c - 4*v = 3577. What is the remainder when c is divided by 3?
1
Suppose 72 + 3 = 4*u + r, 120 = 5*u - 4*r. Let t = -15 + u. Suppose 3*m - t*h = 10 + 1, 4*m + 2*h - 6 = 0. Calculate the remainder when 2 is divided by m.
0
Let l(a) = 100*a**2 + 463*a + 10. Calculate the remainder when 311 is divided by l(-5).
116
Suppose 6740 = 4*v - u, 4*v + 6*u - 6477 - 291 = 0. Calculate the remainder when v is divided by 154.
146
Suppose -3*t + 7*t = -5*q + 279, 39 = q - 2*t. What is the remainder when 203 is divided by q?
50
Suppose -28*o - 1369 = -1481. Let n = 15 - -2. Suppose 7 = 2*c - n. Calculate the remainder when c is divided by o.
0
Let z(q) = 719*q + 4332. What is the remainder when 374 is divided by z(-6)?
14
Suppose 2*b - 3*u + 15 = 5*b, b + 3 = -3*u. Let g = b - -31. What is the remainder when g is divided by ((-69)/12 + 3)*-4?
7
Let l(q) = 831*q**2 - 4933*q - 233. Suppose 3*z - 233 = 292. What is the remainder when z is divided by l(6)?
5
Let f(t) = -14*t + 75. Suppose -2*l + 6 = -q, -3*l + 4 = q - 0. Let d = l - -22. Calculate the remainder when d is divided by f(5).
4
Suppose 16*h + 92 + 68 = 0. What is the remainder when 62 is divided by -4 + (-72)/(-5) + h/25?
2
Let d(k) = -2*k**2 - 40*k + 56. What is the remainder when 492 is divided by d(-21)?
2
Suppose 19*t = 1847 + 2105. Let v = 213 - t. Calculate the remainder when 107 is divided by v.
2
Let r = 5475 + -5471. Calculate the remainder when 6611 is divided by r.
3
Suppose 355 = 3*m - 38. Suppose 5*n - m - 139 = 0. Let r(x) = x**3 - 2*x**2 - 2*x - 3. What is the remainder when n is divided by r(4)?
12
Let l be 12*(1 + 246/12). Let j = 305 - l. Calculate the remainder when 656 is divided by j.
45
Let m = 320 - 340. Let n(y) be the first derivative of -y**4/4 - 22*y**3/3 - 24*y**2 - 9*y - 9. Calculate the remainder when n(m) is divided by 38.
37
Suppose 5*y - 92 = 158. Suppose 67*k - 65*k - 4 = 0. Suppose -211 - 268 = -k*n - 5*x, 0 = 4*n - 5*x - 1003. What is the remainder when n is divided by y?
47
Let d = 384 - 237. Suppose -4*c - 6*k = -5*k - 176, 3*c - 3*k = d. Suppose 3*b + w = 53, 0 = 4*w + 2 + 14. What is the remainder when c is divided by b?
7
Suppose 31 = j - 215*i + 210*i, 0 = 4*j - 3*i - 56. What is the remainder when 1377 is divided by j?
2
Let d(q) = -q**2 - 5*q - 3. Let i(r) = -3*r**3 - 9*r**2 + 92*r + 321. Calculate the remainder when d(-4) is divided by i(-4).
0
Let t(y) = y**2 - 6*y - 23. Let m be t(-3). Suppose s + m*s = 255. Calculate the remainder when s is divided by (-7)/(28/(-8)) + 11.
12
Let u = -282 + 310. Let t be 2 - -1 - 0 - -72. Suppose -t = -r - 4*r. What is the remainder when u is divided by r?
13
Suppose -8 = -11*q + 14. Suppose 5*f - q = 18. Suppose -f = -y - 1, s - 4*y - 8 = 0. Calculate the remainder when s is divided by 11.
9
Suppose -170 + 266 = 3*y. What is the remainder when 142 is divided by y?
14
Let z = 602 + -392. Let i = z + -198. What is the remainder when 67 is divided by i?
7
Let s(z) = -z**3 + 5*z**2 + 8*z - 6. Suppose 39*o - 25714 = -4*o. Calculate the remainder when 92/o + (-594)/(-26) is divided by s(6).
5
Suppose 3*m - 5*l - 30 = 0, -2*m + 5*l + 25 = -0*l. Let c be (-2)/(-5)*((-2)/(-1) + 3). Let a(v) = 5*v - 3. What is the remainder when a(c) is divided by m?
2
Let s = 29 + 19. Suppose 2*b + 277 = 9*z - 4*z, 2*z - 106 = -4*b. Suppose 0 = z*q + 8*q - 441. What is the remainder when s is divided by q?
6
Let q = -317 - -389. Suppose -16*z + q = -13*z. What is the remainder when 93 is divided by z?
21
Suppose -5*n = 6 + 9, -3*n = -j + 425. What is the remainder when j is divided by 57?
17
Let d = 60 - 52. Let q(t) = -t**2 + 11*t - 15. What is the remainder when q(7) is divided by d?
5
Let j(c) = 3*c**2 - 53*c + 244. What is the remainder when 6926 is divided by j(14)?
86
What is the remainder when 556 is divided by ((-42)/9 - -4)/(30/(-1530))?
12
Let d(y) = 103*y**2 + 5*y + 2812. What is the remainder when d(0) is divided by 97?
96
Let n = 117 - 121. Let g(m) = 2*m - 9. Let f(h) = -3*h + 11. Let a(v) = n*f(v) - 3*g(v). Calculate the remainder when a(15) is divided by 20.
13
Suppose -3*u + 23 = 2*n, -4*n + u = 3*u - 74. What is the remainder when 1888 is divided by n?
18
Suppose -14*d + 9 = -17*d. Calculate the remainder when 83 is divided by 1/(-3 - (1 + d))*-25.
8
Let s be 2/13 - 80/13 - -331. Suppose s = 15*j + 10*j. Calculate the remainder when 127 is divided by j.
10
Let r(j) = -j**3 + 8*j**2 + j + 10. What is the remainder when (-6)/8 + (-29)/(-2)*25004/1064 is divided by r(8)?
16
Suppose -m + 65 = -2*a + 32, 4*m - 3*a = 127. What is the remainder when 2200 is divided by m?
30
Let r = -6416 + 7128. What is the remainder when r is divided by 350?
12
Let n be (-2)/(-1) + -12 + 13. Suppose 4*s = i + 44 - 9, 2*s = n*i + 5. Suppose s*u - 140 = 5*u. Calculate the remainder when 53 is divided by u.
25
Let m(l) = 153*l + 5664. Let s(p) = p**3 + 14*p**2 - 4*p - 9. What is the remainder when s(-12) is divided by m(-37)?
0
Suppose 5*y - 5*j = 50, -3*y + 96 = 4*j + 31. Suppose 11*g - 7 = y. What is the remainder when 143 is divided by g?
1
Suppose p + 8*s = 35, 4*p - 93*s + 96*s = 256. Calculate the remainder when 240 is divided by p.
39
Let c(s) = 23*s**2 - 7*s - 19. Calculate the remainder when c(-3) is divided by (2 - (-8 + 0))*1.
9
Suppose -48 = -9128*m + 9122*m. Let d = 11 - 5. Calculate the remainder when 29 is divided by (d/m)/((-1)/(-8)).
5
Suppose 15438 = 60*o + 126*o. What is the remainder when 253 is divided by o?
4
Let j(l) = -l**3 + 9*l**2 + 26*l - 7. Let i be ((-30)/(-35)*1)/((-1)/(-7)). Suppose i*q + 0*q = 114. Calculate the remainder when j(11) is divided by q.
18
Suppose -105*z + 11919 = -18*z. What is the remainder when 543 is divided by z?
