when 2169 is divided by l.
81
Suppose 0 = -5*p + 3*s - 965, 5*s = 5*p + 1191 - 236. Let t = p - -234. Calculate the remainder when t is divided by 17.
4
Let z(t) = 10*t**2 + 16*t - 519. Calculate the remainder when z(-11) is divided by 75.
65
Let u be 14/91 + (-3426)/(-39). Let o = u + -89. Calculate the remainder when 29 is divided by 4/(-6)*-3 - o*9.
7
Let m = -944 + 1276. What is the remainder when m is divided by 42?
38
Let l = 1475 + -1420. What is the remainder when 490 is divided by l?
50
Let m(p) = -p**3 + 22*p**2 + 7*p - 283. Calculate the remainder when m(14) is divided by 139.
132
Suppose -2054 - 6935 + 916 = -13*k. What is the remainder when k is divided by 125?
121
Let g = -513 + 1040. Calculate the remainder when g is divided by 33.
32
Suppose 4*u - 2*u - 44 = 5*h, 5*u = -5*h + 75. Suppose -5*y + 4*f = -0*f - 1770, 4*y - 1416 = -5*f. Calculate the remainder when y is divided by u.
14
Let l = -1 + 2. Suppose -41 = -a - 47, 3*r - 120 = 3*a. What is the remainder when (l - -1)/(-2) + 68 is divided by r?
33
Let l(d) = -9*d**3 + 14*d + 67. Calculate the remainder when l(-4) is divided by 86.
71
Suppose -b + 1102 = 5*y, -48*b + 2*y = -50*b + 2204. What is the remainder when b is divided by 16?
14
Suppose 7*k + 22826 = 32*k + 76*k. Calculate the remainder when 635 is divided by k.
183
Let z(a) = -3*a**3 + 72*a**2 + 13*a - 170. What is the remainder when z(21) is divided by 22?
2
Calculate the remainder when 202 is divided by (-720)/(-54)*(-390)/(-50).
98
Let c(k) = -16*k**3 - 14*k**2 - 31*k - 75. What is the remainder when c(-4) is divided by 397?
55
Let b = 884 + -878. Calculate the remainder when 247 is divided by (-2)/b + (-5096)/(-78).
52
Suppose 333*v = 89239 + 233438. What is the remainder when v is divided by 155?
39
Let z = -12 + 33. Let j = -112 - -120. Suppose -j*y + 1311 - 319 = 0. What is the remainder when y is divided by z?
19
What is the remainder when 1891 is divided by (1 + 243/21)*(378/12)/9?
43
Calculate the remainder when 527 is divided by (-1 + -9)*((-45)/(-18) - 3).
2
Suppose -92*f + 3633 = 81*f. Calculate the remainder when 488 is divided by f.
5
Suppose 0 = 2*o - 2*k - 44, 2*o + 32 = -k + 73. Suppose -3*f = 2*r - 61 - 12, 4*r = -3*f + 137. What is the remainder when r is divided by o?
11
Suppose -5*j - 3*x + 6*x - 7 = 0, -5*x = -5*j - 5. Suppose -2*r + 42 = 10. What is the remainder when ((-152)/r)/(1/j) is divided by 10?
9
Calculate the remainder when 1*(8 + 21/6)*14 is divided by 14.
7
Suppose -75*p + 717698 = -116227. Calculate the remainder when p is divided by 83.
80
Suppose 6*t - 185 - 463 = 0. What is the remainder when 287 is divided by t?
71
Suppose -2*y = -0*y + 4*t - 58, 4*y - 152 = 4*t. Suppose -4195 = 4*g - o - 4611, -4*g - 3*o + 416 = 0. What is the remainder when g is divided by y?
34
Let r = 10387 - 10375. Calculate the remainder when r is divided by -1 + 3/1 + 1.
0
Let m(h) = 4*h + 37. Let i(v) = -v**2 - v - 19. Let f(n) = -5*i(n) - 2*m(n). What is the remainder when 27 is divided by f(0)?
6
Suppose -3552*q - 7700 = -3562*q. Calculate the remainder when q is divided by 77.
0
Let c(j) = 7*j**2 - 8*j + 15. Let t be c(4). Suppose -3*s + t + 73 = 0. Suppose 0 = 4*l - 51 - 29. What is the remainder when s is divided by l?
16
Let k(d) = 6*d**2 + 153*d + 40. What is the remainder when k(-26) is divided by 77?
41
Let v = -20028 - -20147. What is the remainder when 4639 is divided by v?
117
Let f = -42399 - -45117. Calculate the remainder when f is divided by 16.
14
Let h = 71 - 51. What is the remainder when ((74 - 1) + 5)*1 is divided by h?
18
Let b = -23 - -31. Suppose 4*u + 112 = b*u. Let p = -155 - -170. What is the remainder when u is divided by p?
13
Let v = -531 + 671. What is the remainder when 4337 is divided by v?
137
Let x(n) = -4*n + 15. Suppose 9*d - 10*d = -9. Suppose q + d + 13 = 3*r, q + 12 = r. What is the remainder when x(q) is divided by 25?
18
Let z = -824 - -868. What is the remainder when 78 is divided by z?
34
Let v(z) = -11*z - 2. Let p(h) = -45*h - 9. Let n(u) = -5*p(u) + 21*v(u). Calculate the remainder when 62 is divided by n(-3).
20
Let f = 3 - -7. Suppose -5*c = 4*z - f, -2*c - 4*z - 7 = 1. Calculate the remainder when c is divided by 1.
0
Let f(c) = -c**3 + 4*c**2 - 7*c + 88. Let w = 226 + -90. What is the remainder when w is divided by f(5)?
24
Suppose -3*k = 2*s - 1604, -s + 1175 = 3*k - 425. What is the remainder when k is divided by 19?
0
Let g = 13425 - 13364. What is the remainder when 26532 is divided by g?
58
Let t(x) = x**3 + 6*x**2 - 11*x - 12. Calculate the remainder when (-3484)/(-21) + (-28)/(-294) - (-14 - -16) is divided by t(-7).
4
Suppose 0 = -3*f + n + 529 + 277, 2*f - 4*n - 544 = 0. What is the remainder when f is divided by 90?
88
Suppose -13*s + 10164 = 12*s + 17*s. What is the remainder when s is divided by 17?
4
Suppose -t = 4*f + 15, -t + 3*f = 2*t. Suppose -88 = 4*i + 32. Calculate the remainder when 123 is divided by ((-5)/(-2))/(t/i).
23
Suppose -7 = 4*f - 143. Let w(n) = -n + 7. What is the remainder when (f/4)/(-3 + 2)*-2 is divided by w(3)?
1
Let g = 85525 + -85468. Calculate the remainder when g is divided by 162/3*1/2.
3
Calculate the remainder when -927*(-14 - 0 - -13) is divided by 19.
15
Let h = 25827 - 25583. Calculate the remainder when h is divided by 15.
4
Calculate the remainder when 37/(-3)*(-12)/4 is divided by (24/(-40))/((-1)/25).
7
Suppose 16354 - 1234 = 29*f - 14866. What is the remainder when f is divided by 115?
114
What is the remainder when 178 is divided by (40/30)/(-5*(-8)/1860)?
54
Suppose 3*h + n - 95 = 0, -n + 89 = 3*h - 3*n. Suppose -242*w = -247*w + 935. Suppose -52*l = -35*l - w. What is the remainder when h is divided by l?
9
Let f(z) be the second derivative of z**5/20 + 13*z**4/12 - 11*z**3/2 - 5*z**2 - 18*z. Calculate the remainder when f(-15) is divided by 9.
8
Suppose 1562 = 4*p - 3*o, -4*o = 5*p - 1528 - 471. What is the remainder when p is divided by 198?
197
Suppose -111*s + 378 = -90*s. Let j be (7/7)/((-2)/(-22)). Let h = j - 0. What is the remainder when s is divided by h?
7
Calculate the remainder when -6 - (-552)/((-48)/(-6)) is divided by 35 + 4*(-1 + 1/2).
30
Let r(i) = -i**3 - 3*i**2 + 3*i - 5. Suppose -96292*q = -96229*q - 441. Calculate the remainder when r(-5) is divided by q.
2
Suppose i + 610 = 3*v, -19*i = -15*i - 20. Calculate the remainder when 1229 is divided by v.
204
Let s(u) = 5*u**2 + 6*u - 28. Let g be s(-11). Let c = g + -415. What is the remainder when c is divided by 34?
28
Let j(a) = -a**3 + 7*a**2 + 3*a - 9. Let c be (1 + (-5)/2)/(9/300). Let y = -44 - c. Calculate the remainder when 134 is divided by j(y).
44
Calculate the remainder when 966 is divided by (-204)/(-8)*(23 + -21).
48
Let a = -13120 - -14050. What is the remainder when a is divided by 106?
82
Suppose -c = 7*v - 2*v + 21, 4*c = -v - 27. Let t = -5 + 9. What is the remainder when 2*-1 - ((3 - 10) + c) is divided by t?
3
Suppose -172*s + 170*s = 303*s - 305610. What is the remainder when 1024 is divided by s?
22
Let o = -146 + 52. Let s = 100 + o. What is the remainder when 17 is divided by s?
5
Calculate the remainder when 6371 is divided by (11/231*450)/(32/14 - 2).
71
Let w(l) = 9*l + 6. Suppose 0 = -4*x - 2*i - 10, -2*i - i - 11 = 5*x. Calculate the remainder when w(8) is divided by (-1216)/(-57) + x/3.
18
Calculate the remainder when 4*(-10 + 594/24) is divided by (0 - -2) + -3 + 11.
9
Let g be (-1)/(-3 - 14/(-5)). Suppose 12*j + g*k = 9*j + 192, -4*j - 3*k + 267 = 0. What is the remainder when 344 is divided by j?
68
Let k be (-12)/36 - (192/9)/(-4). Suppose -q - 22 + 179 = -3*s, 0 = k*q + 4*s - 728. What is the remainder when q is divided by 32?
20
Suppose -f = -9 - 27. Let d be 146/(-9) - (-16)/72. Calculate the remainder when (-444)/d*4 - 7 is divided by f.
32
Let x = 991 - -4892. What is the remainder when x is divided by 6?
3
Suppose 0 = 13*p + 4*p. Suppose -d - 9 = -3*j - 4*d, -3*j + 2*d + 14 = p. What is the remainder when (-20)/(-2) + (-2 - -1) is divided by j?
1
Let f = 6350 + -6321. What is the remainder when 174 is divided by f?
0
Let i = 12 + -12. Suppose 3*f + 4*d - d - 99 = i, 4*f - 147 = -d. Let n = f + 33. Calculate the remainder when n is divided by 24.
23
Let s(y) = -8*y + 48. Let o be s(6). 