when 31 is divided by l.
9
Suppose 20 = 4*c + 4*w, 0 = -2*c + 6*c - 5*w - 47. Calculate the remainder when 30 is divided by -2 - (2 - c - 0/(-3)).
2
Let q = 324646 + -324592. Let v(t) = 5*t**2 + 7*t + 1. What is the remainder when v(5) is divided by q?
53
Let d = 9290 - 7015. Calculate the remainder when d is divided by 99.
97
Let p(k) = -k**3 + 5*k**2 + 2*k - 1. Let c(n) = 453*n + 3667. Calculate the remainder when c(-8) is divided by p(4).
20
Suppose 0 = 12*k - 515 + 239. Suppose -62 = k*p - 844. Suppose -2*r = -101 - 167. What is the remainder when r is divided by p?
32
Let t be 57/(15/24*-1 + 1). Suppose -29*v + t = -21*v. Suppose 0*i - i - r + 34 = 0, 3*i - 103 = -2*r. What is the remainder when i is divided by v?
16
Let h = 88 - 45. Suppose -1 + h = 3*m. Suppose -v = -7 - m. Calculate the remainder when v is divided by 6.
3
Let y(h) = 29*h**3 - 8*h**2 - 7*h + 9. Let q be y(6). Suppose 8*r - q = -1479. Calculate the remainder when r is divided by 56.
54
Let w = -390 + 398. Let m = 2740 + -2455. What is the remainder when m is divided by w?
5
Suppose 0 - 12 = -3*p, -5*p + 20 = -2*q. Suppose q = 22*n - 6090 - 1786. What is the remainder when n is divided by 24?
22
Suppose -6*f - 3 = -57. Let a = -258 - -414. Suppose -a = 6*m - f*m. What is the remainder when 205 is divided by m?
49
Let y(a) = a**3 + 29*a**2 + 52*a - 2. What is the remainder when 82 is divided by y(-27)?
30
Suppose -1423 = -29*z + 375. Let o = -5 + z. What is the remainder when o is divided by ((-26)/(-6) + 1)*3?
9
Let r = -7336 + 7439. What is the remainder when 413 is divided by r?
1
Let u(v) = -31*v + 280. What is the remainder when 195 is divided by u(6)?
7
Let b(h) = h**3 + 38*h**2 + h + 276. What is the remainder when 1406 is divided by b(-38)?
216
What is the remainder when 4/14 + 4880139/3927 is divided by 13?
8
Suppose 0 = -42*u + 37*u + 25. Suppose 2*j - 5*r = 83, -2*r + 236 = 5*j - u*r. What is the remainder when j is divided by 16?
1
Let z = 66 + -68. What is the remainder when 0 - z/11 - 13465/(-55) is divided by 62?
59
Suppose 1103 = -79*r + 2858 + 1247. Let b be (-218)/8 + 12/(-16). What is the remainder when r is divided by (b/(4 - 3))/(-2)?
10
Suppose -a + 4*h + 2 = 0, 3*a + 28*h = 31*h + 6. Suppose -x - a = -70. Calculate the remainder when x is divided by 35.
33
What is the remainder when 6818 is divided by (142 - 32) + 0/3?
108
Let l = 21 - 11. Suppose z - 117*x + 120*x - 33 = 0, 5*x = -10. What is the remainder when z is divided by l?
9
Suppose 4089 = 3*i - 3*v, -3*i + 19*v + 4103 = 14*v. What is the remainder when i is divided by 76?
64
Calculate the remainder when (-204)/3366 + (-2246)/(-33) is divided by 15.
8
Let i = 31501 - 31495. What is the remainder when 361 is divided by i?
1
Let u(y) = 62*y + 3272. What is the remainder when 1087 is divided by u(-51)?
97
Let k = 195 - 68. Let p = -116 + k. Calculate the remainder when 139 is divided by p.
7
Suppose -2*j - 6*w + 1294 = 184, 5*w = 5*j - 2855. Calculate the remainder when j is divided by 94.
3
Let w(d) = -d**3 + 7*d**2 + 12*d - 26. Let n be w(8). Let a(p) = 27*p - 52. What is the remainder when a(n) is divided by 19?
15
Suppose 0 = -4*z - 2*r + 2, -r + 25 = -6*r. Let s(d) = d**3 + 5 - 1 - 2. Calculate the remainder when 142 is divided by s(z).
26
Let g = -26 + 40. Let j = g - -76. Calculate the remainder when 263 is divided by j.
83
Let g(q) = 1012*q + 608. Calculate the remainder when g(1) is divided by 82.
62
Suppose -71 - 101 = -4*d - 4*o, -5*d + 185 = -5*o. Suppose 0 = 4*g - 5*q - 564, 5*q + 141 = g - 0. Calculate the remainder when g is divided by d.
21
Suppose -3*g + 420 = -2*m, 646*g + 5*m = 643*g + 441. Calculate the remainder when 700 is divided by g.
132
Suppose 24*p - 2178 + 1115 - 3281 = 0. Let u = 39 + 7. Calculate the remainder when p is divided by u.
43
Suppose -53*p + 110 + 317 = 56. What is the remainder when (-7*1)/(-2 + 1) is divided by p?
0
Let r(a) = -a**2 - 26*a - 124. Let q be r(-19). Let z(t) = -55*t. Let u be z(-2). Suppose -q*b = -11*b + u. What is the remainder when b is divided by 28?
27
Let g(d) = -2*d**2 - 1068 - 2*d**3 + 2*d**2 + d**2 - 3*d + 1064. What is the remainder when 39 is divided by g(-2)?
17
Let f(a) = -a**3 + 26*a**2 - 26*a + 29. Let i be f(25). Suppose z - 31 = h + 3*h, 0 = i*h + 20. Calculate the remainder when 118 is divided by z.
8
Let t(u) = -u**2 + 9*u - 12. Let j be t(6). Suppose -j*r + 3*r + 255 = 0. Calculate the remainder when r is divided by (-21 - -107)*1/2.
42
Let r(q) = 407*q + 6286. Calculate the remainder when r(-15) is divided by 59.
4
Suppose 5*w - 74 = 51. Let d(h) = h**2 + 7*h + 1. Let o be d(-7). Calculate the remainder when ((91 + 3)/2)/o is divided by w.
22
Let y be (-34 - (-1 + 0))*2/(-3). Suppose l + 3*t = 3*l - 22, -2*t = 2*l - y. Suppose 6*h - 4*h = 86. What is the remainder when h is divided by l?
10
Suppose 6*p - 11*p = 3*x - 5740, -2*p - x = -2297. What is the remainder when p is divided by 192?
191
Suppose 23*t + 570 = 53*t. Calculate the remainder when 16244 is divided by t.
18
Let h(a) = 2*a**3 - 25*a**2 + 16*a - 37. Let q(d) = -37*d - 173. Let s be q(-5). What is the remainder when h(s) is divided by 1?
0
Let a(m) = -247*m - 35. Calculate the remainder when a(-2) is divided by 169.
121
Let i be 3*5/(25/5). Let z(g) = 22*g - 26*g + i + 5. What is the remainder when 4 is divided by z(1)?
0
Suppose -4*j + 202 = -5*u - 213, 4*u - 570 = -5*j. What is the remainder when 7256 is divided by j?
106
Let g(q) = -40*q + 296. Let f = 598 - 552. Calculate the remainder when f is divided by g(7).
14
Let b(q) = -7 + 15*q + 21 - 20*q + 6*q. Calculate the remainder when 76 is divided by b(-3).
10
Let y(q) = 38*q - 171. What is the remainder when 504 is divided by y(5)?
10
Suppose 26*h + 9*h - 91031 = -8*h. Calculate the remainder when h is divided by 101.
97
Suppose -3*s + 7*s = -13*s + 578. What is the remainder when 111 is divided by s?
9
Suppose 2*w + 43020 = 45*w + 47*w. What is the remainder when w is divided by 81?
73
Calculate the remainder when 37 is divided by (-9)/(18/4)*(26/(-4) + -4).
16
Suppose 574 + 5193 = 73*c. What is the remainder when c is divided by 70?
9
Suppose 4*d - 44 = -4*z + 176, 3*d - z = 149. What is the remainder when d is divided by 8/(-28) + 405/21?
13
Let s(n) = -n**3 - 9*n**2 - n - 10. Let w be s(-9). Let x = 16 + w. Suppose -2*h + x + 11 = 0. What is the remainder when h is divided by 4?
1
Let q = -185 - -188. Calculate the remainder when 429 is divided by (2 - 3)*q*-8.
21
Let u(f) be the second derivative of -f**5/20 + 3*f**4/2 + 23*f**3/2 + 23*f**2/2 - 171*f. What is the remainder when u(21) is divided by 5?
4
Let w(v) = -57*v + 989. Calculate the remainder when 569 is divided by w(15).
33
Let a = 4407 - 4376. Calculate the remainder when 132 is divided by a.
8
Let v(c) = 2*c**2 + 6*c + 1. Let j be v(-7). Suppose -4*i = -i - j. Suppose 64*w = -8*w - 1547 + 5435. Calculate the remainder when w is divided by i.
16
Let a = 30727 + -8356. What is the remainder when a is divided by 17?
16
Let o(z) = -9*z**2 + 540*z + 72. What is the remainder when 1948 is divided by o(60)?
4
Let q(n) = -n**3 + 8*n**2 - 4*n - 4. Let l be (-34 - 27)/(2*(-1)/2). What is the remainder when q(6) is divided by (-11)/44 - l/(-4)?
14
Suppose 4*w = -487 + 163. Let b = 107 + w. What is the remainder when b is divided by -1 + 2 + -1 + 7?
5
Suppose c + 4*y = 44, -3*c + 308 = 2*c - 2*y. Calculate the remainder when (-4 - (-2 + -183)) + -6 is divided by c.
55
What is the remainder when (2 + 80 + 5)/((-27)/(-27)) is divided by 49?
38
Let i(c) = -2*c**3 + 133*c**2 - 197*c + 153. What is the remainder when 5080 is divided by i(65)?
20
Let m = 127 + -85. Suppose -315 = -5*w + w - 3*z, 309 = 4*w + 5*z. Suppose 16*f = 7*f + w. Calculate the remainder when m is divided by f.
6
Suppose 650 = 28*z - 2290. Calculate the remainder when z is divided by 2/5 + 3 + 312/20.
10
Suppose -565 = c - 535. What is the remainder when (580/c)/(2/(-6) - 0) is divided by 16?
10
Calculate the remainder when -5 - (122/(-8))/((-30)/(-480)) is divided by 180.
59
Let c be -2 + ((-902)/3)/(46/(-69)). Let x = c + -94. What is the remainder when x is divided by 72?
67
Let n be -4980 + (-2 - (-5 + -2)). Calculate the remainder when n/(-30) + 2/12 is divided by 31.
11
Sup