remainder when 4919 is divided by p(-13).
11
Calculate the remainder when 307 is divided by (386/(-2123))/(4/(-66)).
1
Let y(x) = 361*x + 5775. What is the remainder when y(12) is divided by 32?
27
Let q = -19273 + 21420. What is the remainder when 2162 is divided by q?
15
Let x(a) = a**2 - a - 7. Let b be x(7). What is the remainder when b + -3*(-4 - -3) is divided by (-4 + 3)/(-2)*22?
5
Suppose -8*w - 2209 = 5287. Let d = 942 + w. What is the remainder when 157 is divided by d?
2
Let o = -3540 + 6287. What is the remainder when o is divided by 10?
7
Let c be (-2)/4 + (2 - 6/(-4)). Let y(k) = 7 + 3*k**2 + 0*k**3 - 3*k + k**3 - 15*k - c*k. What is the remainder when 63 is divided by y(-6)?
13
Let o(p) = 70*p - 65 - 68*p + 5*p**2 + p**3 - 4*p**2. Let f be o(0). Let k = -47 - f. Calculate the remainder when k is divided by 3.
0
Let w be 1*-1 + 12/1. Let o(f) be the first derivative of f**2/2 + 6*f + 395. Calculate the remainder when 82 is divided by o(w).
14
Suppose 3*n = -2*n + 15, -3*n = -4*g + 231. What is the remainder when 3 is divided by 14/10 - 24/g?
0
Let n(v) be the second derivative of v**4/12 + 5*v**3/2 - 16*v**2 + 54*v. What is the remainder when 61 is divided by n(-18)?
17
Let u = -10 + -4. Let p = -27 - u. Let z = 19 - p. What is the remainder when 93 is divided by z?
29
Let y(m) = 11*m. Suppose 17*g + 305 = 424. Calculate the remainder when y(3) is divided by g.
5
Let r be 128/7 + -1*(-2)/(-7). Let w be r/2 - (0/2 - 1). Suppose 0 = w*g - 17*g + 266. What is the remainder when g is divided by 22?
16
Let u(r) = -r**3 + 12*r**2 + 470*r - 23. What is the remainder when 3574 is divided by u(28)?
16
Suppose -335*g - 31*g + 75*g = -18042. Let c = -21 - -37. What is the remainder when g is divided by c?
14
Suppose -6*i = -2*i - l - 31, 0 = -2*i + 5*l + 29. Suppose -5*n - 4*u = -6*n + 25, 4*u + i = -n. What is the remainder when 34 is divided by n?
7
Suppose 5*c + 2 = -u, -3*u - 4*c = -17 + 1. Calculate the remainder when 1494 is divided by u.
6
Suppose 2*p - 24 = y, -4*p + 2*y + 44 = -2*y. Let k = p + -10. Suppose 4*u - k*j - j - 372 = 0, -u - 4*j = -88. What is the remainder when u is divided by 19?
16
Suppose -1 = 2*m - q, 4*m + 5 = 6*q - q. Suppose -13*w = -91 + 104. What is the remainder when ((-393)/12 - m)*4*w is divided by 33?
32
Let q(r) = 2057*r**2 - 50*r - 51. Calculate the remainder when q(-1) is divided by 14.
12
Let f = 5600 - 5531. What is the remainder when 414 is divided by f?
0
Let i(q) = -q**2 - 7*q. Suppose g - 28 = -l - 21, 5*g = 2*l + 49. Suppose 0 = -g*a + 48 + 150. Calculate the remainder when a is divided by i(-3).
10
Let g(q) = -22*q**2 - 10*q - 7. Let t be g(-4). Let k = -276 - t. Calculate the remainder when 83 is divided by k.
40
Calculate the remainder when 1145 is divided by ((-287)/21)/((-81)/2187).
38
What is the remainder when ((-64)/192)/(3/(-7767)) is divided by 59?
37
Calculate the remainder when (-5)/(-4 + 6040/1512) is divided by 136.
129
Let p be (-2)/(-9) - (-259)/9. Suppose 2*b - 7 - p = -a, 3*b = 2*a + 68. What is the remainder when 68 is divided by b?
8
Suppose 0 = -63*n - 100*n + 7335. What is the remainder when 227 is divided by n?
2
Suppose -17850 = -30*f - 5*f - 40*f. Let c(k) = -k**2 + 3*k**2 + 2 - 5*k + k**2. Calculate the remainder when f is divided by c(4).
28
Let t = -5918 + 7995. Calculate the remainder when t is divided by 231.
229
Let l(d) = 2080*d + 1629. Calculate the remainder when l(7) is divided by 63.
61
Suppose -4*o - 4*x = -92, -4*x - 60 = o - 5*o. What is the remainder when ((-99)/(-6))/(6/8) is divided by -6 + -3 + (o - 4)?
4
Calculate the remainder when (1168 - (-117)/13) + -11 is divided by 7.
4
Suppose 2*p = 3*n + 4*p + 107, -4*n + p = 161. Let y(r) = -r**3 - 33*r**2 + 108*r + 65. Calculate the remainder when y(-36) is divided by n/(-13) - (1 - 9).
10
Let p be -20 + -2 + -10 + 14. Let x be ((-15)/p)/5 - 22/(-12). Suppose 236 = x*v + 2*v. What is the remainder when 116 is divided by v?
57
Let v(x) = -29*x + 36. Let l = 61 + -68. What is the remainder when v(l) is divided by 20?
19
Let p = -577 - 323. Let n = 924 + p. Suppose 3*q - b - 150 = -q, -3*q = 5*b - 101. Calculate the remainder when q is divided by n.
13
Let r = 15 + 0. Suppose c - b = 24, -2*c - r = -3*c - 2*b. Let v = -77 - -85. What is the remainder when c is divided by v?
5
Let g = -4469 - -4635. What is the remainder when 522 is divided by g?
24
Let b(z) = -1 + 2 + z**2 + z + 5*z + 3. Let h be b(-6). Suppose -x = -h*x + 186. What is the remainder when x is divided by 13?
10
Let i = 278 - 216. Calculate the remainder when 389 is divided by i.
17
Suppose 306 = -663*j + 669*j. Suppose -380 + j = -7*t. Calculate the remainder when 140 is divided by t.
46
Suppose 6*j - 8*j = 8. Let p be (41/j)/(4/(-16)). Suppose p*s = 37*s + 8. What is the remainder when 5 is divided by s?
1
Suppose -4*s = 3*m - 42, 3*m - s + 2*s = 51. Suppose -16 = -4*h, 3*a - 3*h = 6*a - m. What is the remainder when 7 is divided by a?
1
Let w(a) = 16*a + 7. Let l(p) = p**2 - 7*p - 41. What is the remainder when w(1) is divided by l(11)?
2
Suppose 0 = 11*z - 115 - 369. Calculate the remainder when 108 is divided by (50 + -51)/((-2)/z).
20
Suppose -4*l + 61 - 21 = -5*q, 0 = -2*l + 2*q + 18. Suppose -w + 5*s - l = -16, 5*w = 4*s + 97. What is the remainder when 145 is divided by w?
19
Suppose 8*z + 462 = 19*z. Calculate the remainder when (z/12)/(4/8)*102 is divided by 55.
54
Suppose -164*h - 25966 = -106162. Calculate the remainder when 1535 is divided by h.
68
Calculate the remainder when 2137/7 + (168/126)/((-28)/6) is divided by 98.
11
Let x(f) = 2*f**2 + 9*f + 5. Suppose 0 = 2*p + 19 - 23. Suppose 0*y = p*y + 14. Calculate the remainder when x(y) is divided by 21.
19
Let g = -205 + 323. What is the remainder when g is divided by (-90 - -138) + 3/6*-14?
36
Suppose 0 = -6*j - 13*j + 912. Let u be 50/1*(-1)/2. Let a = j + u. What is the remainder when a is divided by 5?
3
Let a be ((-133)/38)/(0 + (-3)/(-18)). Calculate the remainder when 18 is divided by (a/(-10))/7 - 291/(-30).
8
Suppose 2*o = -5*n + 260, 0 = o - 3*o - 4*n + 260. Let b = o + -51. Let m = -3106 - -3122. What is the remainder when b is divided by m?
15
Suppose -23*u + 723 + 542 = 0. Calculate the remainder when 1317 is divided by u.
52
Suppose 0 = -74*l + 474*l - 138800. Calculate the remainder when l is divided by 167.
13
Let l(j) = 2*j**2 + 11*j + 102. Let a be l(-14). What is the remainder when 211 is divided by (-85)/a + 290/8?
31
Let c be (-6)/20 + 5759/130. Suppose -c*j + 4*n = -46*j + 210, -4*n = j - 97. What is the remainder when j is divided by 29?
26
Suppose 16*s - s - 88 = 2. Let l be (-3)/(-3) - 1/(-1). Suppose -n = -4 + l. Calculate the remainder when s is divided by n.
0
Suppose 8*u = -6*u - 8*u + 27412. What is the remainder when u is divided by 210?
196
Let p = 26009 - 22741. What is the remainder when p is divided by 10?
8
Let h = -63 - -60. What is the remainder when 98 is divided by (-248)/(-12) + 2/h?
18
Let z(x) = 4*x**3 - 18*x**2 + 6*x - 67. What is the remainder when 168 is divided by z(5)?
12
Let b = -604 - -610. Let c(z) = -z + 19. Let p(s) = s**2 + 3*s - 6. Let n be p(-6). What is the remainder when c(n) is divided by b?
1
Let b = -10416 + 10765. What is the remainder when b is divided by 262?
87
Let h be 3*1*8/12. Suppose 0 = -h*p - 2*l, -3*l - 18 = -5*p + l. Suppose 5*q = p*q + 33. What is the remainder when 75 is divided by q?
9
Let s = 12956 - 12877. What is the remainder when 8609 is divided by s?
77
Let g(j) = -17*j**3 + 2*j**2 + 5*j + 5. Let l be g(-2). Let h = l - 106. Calculate the remainder when h is divided by 9.
6
Suppose 73*k - 12705 = 16933. What is the remainder when k is divided by 21?
7
Suppose 11*q = 8*q - 5*x + 52, 5*q - 136 = 4*x. Calculate the remainder when 7124 is divided by q.
20
Suppose -3*m + 4*a + 88 = -624, 0 = -2*m - 4*a + 468. Calculate the remainder when m is divided by 234.
2
Let b = 20723 - 19936. Calculate the remainder when b is divided by 195.
7
Suppose -4*b - 144 = -5*c, -2*c = 13*b - 17*b - 60. Calculate the remainder when 326 is divided by c.
18
Calculate the remainder when -1072*(-48)/27 + (-36)/(-162) is divided by 18.
16
Calculate the remainder when 240 is divided by (29/10 - -10 - 13) + 502/20.
15
Suppose 0