20, -n = -2*j - 56. Calculate the remainder when n is divided by 6.
4
Let l(x) = 12*x**2 + 109*x - 201. Calculate the remainder when 2177 is divided by l(-11).
45
Suppose 0 = -5*o + 153*b - 152*b + 10362, -6*o = 4*b - 12398. What is the remainder when o is divided by 148?
147
Let y = 4463 - 4457. What is the remainder when 347 is divided by y?
5
Suppose -2*k + 478 + 489 = h, -473 = -k - 4*h. What is the remainder when k is divided by 232?
21
Let t be 2*-1 + (25 - -301). Suppose -84 = 5*a - 6*a - 2*m, 5*m = -4*a + t. What is the remainder when a is divided by 27?
22
Let o(g) = g**3 - 133*g**2 + 2*g + 126. What is the remainder when o(133) is divided by 81?
68
Suppose 0 = -2*c + 4*p, c - 3*p - 15 = -3*c. Suppose -j + 40 = c. Calculate the remainder when j is divided by 5.
4
Let a be -20*4*6/(-10). Suppose 0*o = -4*o + a. Let k = -8696 + 8699. Calculate the remainder when o is divided by k.
0
Suppose 179 - 41 + 98 = 59*j. What is the remainder when 757 is divided by j?
1
Let z = 442 - 400. Let c = 0 - 39. Let p = z + c. Calculate the remainder when 13 is divided by p.
1
Suppose -4*h + y - 2505 = 2*y, 5*h - y + 3120 = 0. Let n = -90 - h. Suppose -7*o = 101 - n. What is the remainder when o is divided by 16?
14
Let d = 105 + -100. Suppose d*t + 8 - 23 = 0. Suppose -o = -4*l + t*o + 380, 0 = -5*l - 3*o + 475. What is the remainder when l is divided by 16?
15
Let r = 70 + -33. Let u = 160601 + -160578. Calculate the remainder when r is divided by u.
14
What is the remainder when 1038/((-6)/(-96)*12) is divided by 19?
16
Suppose -2*p + 44 = -13*p. What is the remainder when 37 is divided by p/6 + (-325)/(-15)?
16
Suppose 16*o - 253*o = -1197087. Calculate the remainder when o is divided by 2521.
9
Let v(y) = -y**3 + 369*y**2 - 4539*y + 30. Let h(a) = -a**3 - 9*a**2 - 13*a - 11. Calculate the remainder when v(13) is divided by h(-8).
27
Suppose -1294*u + 36213 = 12921. Suppose -2*z = 3*z - k - 23, -4*z + 28 = 4*k. What is the remainder when u is divided by z?
3
Suppose 2*v - 8 - 2 = 0. Let c = -89 - 66. Let d = 169 + c. Calculate the remainder when d is divided by v.
4
Suppose 7*r - 229 - 107 = 0. Let s = 85 - r. Calculate the remainder when (-7021)/(-105) + (-6)/(-45) is divided by s.
30
Let a(g) = 8*g**3 - 2*g**2 + 4*g - 2. Calculate the remainder when (-147)/(-7) - -5 - -158 is divided by a(2).
60
What is the remainder when (-12716)/(-10) + (-618)/(-1545) is divided by 71?
65
Suppose -5*q - 229 + 599 = 0. Let u be (-10)/(-6)*(300/4)/(-5). Let w = u + q. Calculate the remainder when 195 is divided by w.
48
Let f = -1027 - -1051. What is the remainder when 130 is divided by f?
10
Suppose -5*q + 3 - 32 = -g, 3*q + 15 = 0. Suppose 22 = 2*y + g*c, -55 = y - 6*y - 5*c. Calculate the remainder when 51 is divided by y.
7
Suppose 3*r - 364 = -3*x + 512, -2*x - 307 = -r. Suppose -5*f - 222 = -r. What is the remainder when 27 is divided by f?
12
Let k = -25013 + 25027. Suppose -5*q + 6*q - 601 = -5*i, q = -4. What is the remainder when i is divided by k?
9
Let t be 1/(-3) + (14248/12)/13. Let d = t + -71. What is the remainder when 32 is divided by d?
12
Let i = -53 - -67. Suppose -3*c - 26 = -269. What is the remainder when c is divided by i?
11
Suppose -7656 - 2440 = -16*d. Let k = d - 624. Let f(m) = -6*m - 6. What is the remainder when f(-5) is divided by k?
3
Suppose 4415 = 4*s - 5*r, -186*s = -187*s - r + 1088. Calculate the remainder when s is divided by 57.
12
Let b = -84 + 167. Let a = -2339 + 2381. What is the remainder when b is divided by a?
41
Let i = 85 + 15. Suppose 43 = 13*c - i. Suppose 3*u = -0*f + 2*f - 12, 5*u + 17 = 3*f. Calculate the remainder when c is divided by f.
2
Calculate the remainder when 16518/16 + 417/(-1112) is divided by 23.
20
Let q(f) = -f**2 - 10*f - 5. Let s = 131 - 84. Let b = 103 - s. Calculate the remainder when b is divided by q(-5).
16
Suppose -5*p + 7*p = 4*z + 8, 3*p = 4*z + 12. Suppose z = 17*f - 101 - 86. Calculate the remainder when 306 is divided by f.
9
Let z(a) = a**2 - 9*a - 1481. Calculate the remainder when 2711 is divided by z(44).
56
Suppose -55*m + 52*m + 1511 = 5*y, -4*m + 610 = 2*y. What is the remainder when y is divided by 138?
25
Let c(h) = 3*h**3 - 49*h**2 + 101*h + 32. What is the remainder when c(14) is divided by 17?
6
Suppose 5*n = -4*m - 628, 4*n - 3*m = -129 - 361. Let j = n - -180. What is the remainder when 111 is divided by j?
55
Suppose -19*j + 18*j = -1879. Calculate the remainder when 5641 is divided by j.
4
Let m = 129 + -126. Suppose 39 + 75 = m*o. Calculate the remainder when o is divided by 12.
2
Suppose -4*q = -p - 5867, -q - 2*q + 4389 = -3*p. What is the remainder when q is divided by 92?
88
Let l be -10 - (-5 + 4 + 0). Let f = l - -22. What is the remainder when f is divided by -6 + 1 - 2*-5?
3
Let i(k) = -k**3 - 39*k**2 + 493*k - 11. Let s(g) = -2*g**3 + 8*g**2 + 4*g + 4. What is the remainder when s(-4) is divided by i(10)?
16
Suppose 4*o + 1195 = -3*p, -o = 4*p + 41 + 1535. Let s = 406 + p. What is the remainder when 64 is divided by s?
12
Let j = -552 - -1128. What is the remainder when j is divided by 97?
91
Let b be -13 - (-1045)/25 - 2/(-10). Suppose -b*d = -9*d - 100. What is the remainder when 67 is divided by d?
2
Let h = 2812 - 2668. Calculate the remainder when h is divided by 52.
40
Let b = 15 - 9. Calculate the remainder when ((-40)/b)/(3/(-9)) is divided by (-42)/(-12) + 6/(-12).
2
Let w(c) = c**3 + 4*c**2 - 4*c - 4. Let h be w(-5). Let u(a) = -a**2 - 7*a + 23. What is the remainder when 174/10 + (3 - (-68)/(-20)) is divided by u(h)?
2
Let l = -5717 - -5799. What is the remainder when 303 is divided by l?
57
Suppose -22631*i + 199 = -22630*i. What is the remainder when i is divided by 69?
61
Let v(o) = 2*o - 28. Let w be v(8). Let a be w + (4 - 6) + (-2 - 0). Calculate the remainder when 88 is divided by (184/6)/(a/(-24)).
42
Let k(s) = 8 - 5*s - 5 - 9 - s. Let o be k(-3). Calculate the remainder when 66 is divided by 16 - -2*18/o.
9
Suppose -79 = -3*v + 4*j + 211, 191 = 2*v - 5*j. Calculate the remainder when 783 is divided by v.
97
Let r(h) = -42*h - 1. Suppose -2343*v = -2348*v + 2895. Let m = -566 + v. What is the remainder when r(-1) is divided by m?
2
Let c(p) be the first derivative of -p**4/4 + 7*p**3 - p**2 + 72*p + 111. Calculate the remainder when 16/(-6)*222/(-4) is divided by c(21).
28
Suppose -32 = -f - 2*n + 4, 216 = 4*f - n. What is the remainder when 757 is divided by f?
29
What is the remainder when (-2)/4 - (-1057)/14 is divided by (-2)/(10/7) - ((-3480)/50)/4?
11
Suppose 23*p - 1300 = 2380. What is the remainder when 401 is divided by p?
81
Calculate the remainder when (64/96)/((-1)/(-1062)) is divided by 79.
76
Suppose s - 39744 = -10*y + 5*y, 12 = 2*y. What is the remainder when s is divided by 235?
234
Suppose -29 = -5*p - 34. What is the remainder when 51 is divided by p/(2*3/(-174))?
22
Suppose 23 = -2*m + 17, -m - 743 = -4*r. Suppose h = 6*h + 700. Let q = r + h. What is the remainder when q is divided by 12?
9
Calculate the remainder when (857/3)/((18/12)/(18/2)) is divided by 52.
50
Suppose -16 = 2*l - l + 5*w, 0 = 2*l - 2*w - 16. Suppose 4*a - 12 = l. Suppose f = -p + 15, -a*f + p + 49 = 4. Calculate the remainder when f is divided by 8.
4
Suppose -47864 = -51*n + 43*n. Calculate the remainder when 443 is divided by (-1)/3 - n/(-93).
59
Let w = 236 - 111. Calculate the remainder when 389 is divided by w.
14
Suppose -2*k - 4*w + 20 = -0*k, -4*k = -4*w - 52. Suppose -12*d + 8191 = 1003. Suppose d - 225 = 17*r. Calculate the remainder when r is divided by k.
10
Suppose 12*c - 143 = 2989. What is the remainder when c is divided by 70?
51
Suppose 0 = 42*x - 45*x - 24. Calculate the remainder when 72 is divided by (-33)/((-20)/30*(-18)/x).
6
Let b be -3 - 3/((-9)/21). Suppose w = 5*j + b*w + 449, 4*w = -12. Let c = -59 - j. Calculate the remainder when c is divided by 10.
9
What is the remainder when 177 + (-152)/36 + (-28)/(-126) is divided by 12?
5
Calculate the remainder when 593 is divided by 23 + -20 + 1/((-1)/(-7)).
3
Let q = -304 + 308. Suppose 2*o - q*j - 21 = 249, j + 648 = 5*o. What is the remainder when o is divided by 65?
64
Let q = -138 - -435. Let k = q - 268. What is the remainder when 201 is divided by k?
27
Let q = -15