*r = -7*x - 5. What is the remainder when (-304)/(-22) - (-8)/44 is divided by x?
2
Let s be 15/2*80/60. Suppose 0 = -s*q + 16*q - 1122. Calculate the remainder when q is divided by 47.
46
Let n(l) = 489*l - 2796. Calculate the remainder when n(8) is divided by 13.
11
Let l(k) = -15*k - 990. Let o(r) = -r - 62. Let i(m) = 4*l(m) - 66*o(m). Calculate the remainder when 285 is divided by i(-18).
21
Let c = 1536 + -1485. What is the remainder when 70 is divided by c?
19
Calculate the remainder when 1338 - (-45)/9*3 is divided by 68.
61
Suppose 7542 - 11015 = -38*b + 19137. Calculate the remainder when b is divided by 4.
3
Let c be (-7)/((3/6)/(6/4)). Calculate the remainder when 25/(-15) - 6356/c is divided by 96.
13
Let z(m) = 70*m**2 + 15*m + 14. What is the remainder when 606 is divided by z(-1)?
54
Let j = 203 - 199. Let m(z) = z**3 - 3*z**2 - 2*z + 11. Calculate the remainder when m(j) is divided by 17.
2
Suppose -2*t - 7*g + 950 = -11*g, -t - 3*g + 475 = 0. What is the remainder when t is divided by 17?
16
Let n = -13510 + 14955. Calculate the remainder when n is divided by 90.
5
Suppose 6*u - 15 = 5*l + 2*u, -19 = l - 4*u. Calculate the remainder when (-741)/(-105) - (-52)/(-910) is divided by l.
0
What is the remainder when 691 is divided by (-10)/6 + (-858)/(-18) + 4?
41
Calculate the remainder when 458 + 5/(35/63) is divided by (-26)/(-39)*(-201)/(-2).
65
Let y = 29 - 26. Let t be -13*(-1 - (2 + -2)). Suppose -2*d + 5*x = t, 6 = -3*d - 2*x + 34. What is the remainder when d is divided by y?
0
Let y(s) = -s**3 - 30*s**2 - 136*s - 3. What is the remainder when y(-25) is divided by 25?
22
Suppose -2924 = 647*h - 1319*h + 655*h. What is the remainder when 2560 is divided by h?
152
Suppose -5*x - 358 - 3909 = -4*c, c - 1053 = 4*x. What is the remainder when c is divided by 47?
39
Suppose 0 = 5*x - h - 97, 19*h - 15 = 14*h. What is the remainder when 152 is divided by x?
12
Let i(y) = -102*y + 3 + 306*y + 4*y**2 - 102*y - 101*y. Calculate the remainder when 54 is divided by i(1).
6
Suppose 2*f - 25 = -2*h + 9, 5*f + 27 = 3*h. Suppose -h*l + 1363 = 145. Suppose 0 = -5*g + l + 153. Calculate the remainder when g is divided by 18.
12
Suppose 703 = 23*d - 355. Calculate the remainder when d is divided by 22.
2
Suppose 5*i - 4*i - 175 = 4*t, 0 = 2*i + 10. Let k be 270/(-65) + (-1 - t/39). Let u = k + 41. What is the remainder when 110 is divided by u?
36
Suppose 3*c = s + 150 - 744, 2*c - 1164 = -2*s. Suppose -10*l + 25*l = s. Calculate the remainder when 187 is divided by l.
31
Let q(x) = 25*x**2 - 144*x + 670. What is the remainder when q(31) is divided by 8?
7
Let j = 81 - 73. Let p(u) = 2*u**2 - 7*u + 11. Let r be p(10). Calculate the remainder when (3 - r/12)*-4 is divided by j.
3
Suppose 0*u = u - 2. Suppose 0 = 4*o + 26*b - 23*b + 44, 0 = o + 3*b + 11. Let m = u - o. Calculate the remainder when 114 is divided by m.
10
Suppose -2*m = -g + 832, 29*m = -g + 26*m + 792. Calculate the remainder when 835 is divided by g.
19
Calculate the remainder when 0 - 2*-342 - 130/26 is divided by 27.
4
Suppose -7*l + 17*h + 1589 = 15*h, -3*l - h + 681 = 0. What is the remainder when 2718 is divided by l?
221
Suppose 219*n = 218*n - s + 83, -3*n = 5*s - 259. Calculate the remainder when 540 is divided by n.
72
Suppose -a + 26 + 7 = 0. Let n(g) = 32*g**2 - 140*g - 4. Calculate the remainder when n(5) is divided by a.
30
Suppose -16*w + 13*w + 2010 = 0. Suppose -4*q - w = -14*q. Calculate the remainder when q is divided by 17.
16
Let a(r) be the second derivative of r**5/10 - 2*r**4/3 + 3*r**3/2 - 21*r**2/2 + 89*r. What is the remainder when a(6) is divided by (-6)/(-24) + (-71)/(-4)?
15
Suppose 2*c = 10, -2*c + 120 = 3*s - 661. Let n = -255 + s. What is the remainder when 26 is divided by n?
0
Let s = -449 - -1576. Calculate the remainder when s is divided by 14.
7
Suppose 5*v - 3 = -x - 12, -3*v - 5 = x. Let h = x + 1. Let c = -5880 - -5882. What is the remainder when h is divided by c?
0
Let v = 13357 - 13219. Calculate the remainder when v is divided by 41.
15
Let v = -2805 + 4495. Let q = -1676 + v. What is the remainder when (-2 - 1)/((-1)/6) is divided by q?
4
Let h = -83 - -142. Let l = -46 + 55. Calculate the remainder when h is divided by l.
5
Suppose -2*d = 2*d - 76. Let g = 7357 + -7345. What is the remainder when d is divided by g?
7
What is the remainder when (((-2)/(-3))/(-2))/((-28)/(-84))*-1363 is divided by 72?
67
What is the remainder when 342 + (-11 + 4 - -8) is divided by 108?
19
Suppose 138*v + 26 = 140*v. Let h(a) = 5*a - 93. Calculate the remainder when h(27) is divided by v.
3
Suppose -3*z + p + 52 = 0, 7 = 2*p + 3. Let d = -102 + 167. Calculate the remainder when d is divided by z.
11
Suppose 0 = -4*m + 664 - 176. Let s = m - 57. Let v = 5737 - 5720. What is the remainder when s is divided by v?
14
Suppose 0 = 12*u - 5390 - 12 - 5146. What is the remainder when u is divided by 77?
32
Suppose 46*q - 3151 - 8527 = 12104. Calculate the remainder when q is divided by 10.
7
Let g = 782 + -738. What is the remainder when 185 is divided by g?
9
Suppose -20 + 33 = 13*u. Suppose 3*r - 3*n = 21, -2*r - 2*n + u = -9. What is the remainder when 22 is divided by r?
4
Suppose 29*p - 2078 - 3290 = -902. What is the remainder when 657 is divided by p?
41
Let d(p) = 4*p**2 + 6*p - 5. Let v be d(-4). Calculate the remainder when 297 is divided by -2 + (v/7 - -1).
1
Suppose 0 = -r + 4*x + 972, -149*r - 3972 = -153*r - 5*x. What is the remainder when r is divided by 246?
4
Let i(z) = z**3 + 5*z**2 + z + 4. Let r be i(-4). Suppose r*g - 630 = 682. What is the remainder when g is divided by 14?
12
Let y = -124 - -245. Let b = 160 - y. Calculate the remainder when 130 is divided by b.
13
Let j = -5007 - -5224. Calculate the remainder when 437 is divided by j.
3
Let p(w) = -2*w**3 - w**2 + 1. What is the remainder when 23 + ((-1160)/1305)/(-2*(-3)/(-54)) is divided by p(-2)?
5
Calculate the remainder when 68 is divided by (-6)/51 - (15680/(-340) + -1 + 2).
23
Suppose -17*q - 25 = -22*q. Suppose -4*x - q*h = -2*h - 253, -h + 63 = x. What is the remainder when 187 is divided by x?
59
Let f = 86 - 24. Let k = f + 18. Suppose -3*j = 5*d - 71, -3*j + d - 1 = -84. Calculate the remainder when k is divided by j.
26
Suppose -3*z = 4*p - 31, 4*p = -8*z + 2*z + 46. Suppose 0*c + 4*c - 111 = -5*i, -3*i = -z*c - 74. What is the remainder when 574 is divided by i?
22
Suppose 45*g + 419*g + 27106 - 100006 = -508*g. Suppose 11 = 2*r - 11. What is the remainder when g is divided by r?
9
Suppose 0 = 2*g - 14 - 32. Calculate the remainder when (-700)/(-7) + 14 - 1 is divided by g.
21
Suppose 528 = 199*h - 195*h. Calculate the remainder when 2/(-24) - (-9515)/h is divided by 27.
18
Suppose 0 = 2*o - 5*o - 3*j + 1827, 0 = 2*o - 5*j - 1253. Let w = o + -591. Let u = -106 + 150. What is the remainder when u is divided by w?
21
Let n be (3/12 - (-45)/(-20))*5. What is the remainder when 66 is divided by (0 + (-4)/n)/((-20)/(-1100))?
0
Calculate the remainder when 81 is divided by (725/50 - 8)*4/2.
3
Let k = 71 - 16. Let u = 143 + 21. What is the remainder when u is divided by k?
54
Suppose -r = 5*d - 354, 5*r + d - 2147 = -329. Calculate the remainder when r is divided by 72.
4
Let r(o) = o**3 + o**2 + 11*o + 27. Let w be r(-3). What is the remainder when 344 is divided by (-23)/(w/4 + 5)?
22
What is the remainder when 77 - ((-112)/19 + 36/(-342)) is divided by 76?
7
Calculate the remainder when 1/14 + (-28305)/(-42) is divided by 172.
158
Let t = -19545 + 19662. Calculate the remainder when 16493 is divided by t.
113
Let b(t) be the first derivative of t**3/3 + 17*t**2/2 - 48*t + 69. What is the remainder when 158 is divided by b(-21)?
14
Let t(c) = -18*c + 174. Suppose -381*x + 374*x = -63. Calculate the remainder when 118 is divided by t(x).
10
Suppose 2139 = 17*x - 1210. Suppose -2*n = 10, -5*n = -4*k - 0*n + 229. Calculate the remainder when x is divided by k.
44
Let j be 616/(-40) + 5 - 2/(-5). Calculate the remainder when (j/25)/((-4)/170 + 0) is divided by 7.
3
Suppose -29*n + 311 = -28*n + 4*q, 2*n - 619 = -5*q. What is the remainder when n is divided by 22?
21
Let o = -1948 + 2369. Calculate the remainder when o is divided by 7.
1
What is the remainder when -10 + (