4. Let y be d(-11). What is the remainder when 6/4 - 45/y is divided by q(39)?
1
Let c = 27508 + -27493. Let j(v) = v**2 + 2*v + 6. What is the remainder when j(6) is divided by c?
9
Suppose 3*k - 5 = 7, 4*x - 3*k = -16. Calculate the remainder when (-94)/(-14) + (20/(-28) - x) is divided by 1.
0
Suppose m = -20*u + 21*u + 1996, 0 = -5*m - 4*u + 9971. What is the remainder when m is divided by 50?
45
Let d = 8729 - 8475. What is the remainder when 525 is divided by d?
17
Let k be 180/72 - (-10)/(-4). Suppose k*g + 5*g - i = 75, 0 = 2*g + 4*i - 8. Calculate the remainder when 41 is divided by g.
13
Let q be 4/(-4)*2 - -15. Let w(n) = -n**2 + 14*n + 1. Calculate the remainder when w(q) is divided by 14.
0
Let l(p) = 33*p**2 - 16*p + 16. Let n be l(1). Suppose -4*b + 27 = -n. What is the remainder when 174 is divided by b?
9
Suppose -4*s - 667 = -n, 6*n - 3316 = n + s. Calculate the remainder when n is divided by 35.
33
Let f(r) = 9*r**3 - r**2 - 17*r + 40. Let h(t) = 30*t**3 - 2*t**2 - 51*t + 119. Let m(l) = 7*f(l) - 2*h(l). What is the remainder when 85 is divided by m(3)?
40
Let z = -4969 - -4981. Suppose 3*j - 386 = -5*s, 5*s - 2*j - 407 = 2*j. What is the remainder when s is divided by z?
7
Let l = 24 + -20. Suppose 4*r = -r + 10. What is the remainder when 2 is divided by 6 + -4 - 0*r/l?
0
Suppose 4*k - 4*t = 52, 2*k + 7*t = 6*t + 11. Suppose -86 = 19*b - 21*b. What is the remainder when b is divided by k?
3
Suppose -7*q = -11*q - 5*r + 10274, -5*q - 5*r + 12845 = 0. Calculate the remainder when q is divided by 11.
8
Let t = 36373 - 34154. Calculate the remainder when t is divided by 18.
5
Let g = 33 + -18. Suppose -2*r + 0*v - v = -7, 4 = -4*v. Suppose -3*o = -3*y - 120, r*o - y + 2*y = 160. Calculate the remainder when o is divided by g.
10
Let g = -682 - -1043. Let n = -340 + g. What is the remainder when 142 is divided by n?
16
Suppose 172*q = 163*q + 9639. What is the remainder when q is divided by 99?
81
Suppose 0 = -89*o - 50*o + 339994. Calculate the remainder when o is divided by 36.
34
Suppose -d + 6*d = -15. Let r be (-4 + d/(-3))*39/(-9). Suppose 12*w = r*w - 101. What is the remainder when w is divided by 34?
33
Let w(y) = -5*y**3 + 26*y**2 - 3*y - 16. Let b be w(5). Let q(z) = 2*z**2 - z - 2. Calculate the remainder when q(b) is divided by 11.
10
Let r be (-2)/(-13) - (2 - (-1764)/(-26)). Suppose -16*l + r*l = 500. Let s = 1 - 0. Calculate the remainder when l is divided by s.
0
Suppose -4*y + 24 = 0, -405*t + 407*t + 4*y - 1436 = 0. What is the remainder when t is divided by 82?
50
Let a = 2712 - 2691. What is the remainder when 291 is divided by a?
18
Calculate the remainder when (-636)/8*1/((-12)/16) is divided by 37.
32
Let f(u) = u**3 + 70*u**2 - 134*u + 801. Calculate the remainder when 262 is divided by f(-72).
19
Let i(u) = -u + 3. Calculate the remainder when (5430/50)/((-9)/(-15)) is divided by i(-8).
5
Calculate the remainder when 4170 is divided by (-182)/(-2) + -118 + 114.
81
Suppose 62*o = 42*o + 2180. What is the remainder when 753 is divided by o?
99
Let j(m) = -11*m**2 + 230*m - 189. Calculate the remainder when 384 is divided by j(20).
10
Suppose 12*l - 46 - 2 = 0. Suppose 4*s = -4*n + 468, l*s - 336 = -2*n + 132. Calculate the remainder when s is divided by 12.
9
Let o = 4549 - 4053. What is the remainder when o is divided by 197?
102
Let c = 7296 - 7241. Let o = 155 + 9. What is the remainder when o is divided by c?
54
Let f = -16468 - -16832. Calculate the remainder when f is divided by 171.
22
Suppose 4*b = 16*b + 456. Let a = b + 38. Suppose -5*g = -5*r - 175, a*r + 163 = 5*g - r. What is the remainder when g is divided by 19?
13
Suppose -n + f + 17 = 0, n + 1174*f - 17 = 1179*f. What is the remainder when 694 is divided by n?
14
Suppose 535*l = 543*l - 24984. What is the remainder when l is divided by 64?
51
Let d(q) = 154*q - 259. Let x be d(14). Suppose -214*m = -221*m + x. What is the remainder when m is divided by 17?
16
Let f = -27869 - -27949. What is the remainder when 6639 is divided by f?
79
Let u be (-160)/(-70) - (-6)/(-21). Suppose -u*p = -13*p - 11. Calculate the remainder when (44/(-55))/(p/5) is divided by 3.
1
Suppose -89*o + 2972 = -138 + 262. Calculate the remainder when o is divided by 13.
6
Let m = 3381 + -3168. What is the remainder when 810 is divided by m?
171
Let k = -2779 + 3125. Calculate the remainder when k is divided by 97.
55
Let n(y) = -4*y**2 - 44*y + 13. Let k(w) = -2*w + 1. Let o(q) = -6*k(q) + n(q). What is the remainder when 73 is divided by o(-8)?
3
Let o = -16 - 0. Let r = -14 - o. Suppose 0*l + 24 = r*l. What is the remainder when 56 is divided by l?
8
Let a(c) = -c**2 + 11*c + 12. Let n be a(9). Let h = -2 + n. Let q = 43 - h. Calculate the remainder when 44 is divided by q.
14
Let o = 6 - -84. Suppose -3*y - 2*y + 80 = 0. Calculate the remainder when y is divided by 0/1 + o/10.
7
Suppose 70*o - 10121 = -197*o - 82*o. Calculate the remainder when 4232 is divided by o.
27
Suppose -5*f - 16 = -46. Suppose 33 = o + 5*t, 0 = -t - 2*t - 12. Let v = o - 31. What is the remainder when v is divided by f?
4
Suppose -3*b = 2*t - 430, -939*b + 943*b - t = 588. Calculate the remainder when 468 is divided by b.
30
Suppose 3*x = -25*q + 21*q + 1987, -q + 4 = 0. Calculate the remainder when x is divided by 84.
69
Let n = 13 - 8. Suppose n*q + o = 71, -68 = -2*q + 4*o - 22. Suppose 4*y - 248 = -32. What is the remainder when y is divided by q?
9
Calculate the remainder when 69 is divided by (-3)/(-6)*(-15 + -419)/(-7).
7
Suppose 3*y = 4*y - 29. Let s be -2 - -2 - (-3 - -1). Suppose 32 = s*h - 5*x, -5*x = 2*h - 7 - 5. What is the remainder when y is divided by h?
7
Let s(w) = w**2 - 32*w - 23. Let b be s(33). Calculate the remainder when 153 is divided by 1*(-3)/(-3) + b + 68.
74
Suppose 117*m - 90*m = 120636. Calculate the remainder when m is divided by 30.
28
Suppose -2*b - 3*z + 31 = 3*b, -b - 2*z = -9. Suppose -2*n + 2*j = 2 - 4, 4*j = b*n - 5. Calculate the remainder when (-1)/(3/(-237))*n is divided by 20.
19
Suppose 50*q = -62*q + 4368. What is the remainder when 2223 is divided by q?
0
Let p = 98 + -96. Suppose j = 5*g + 77, 71 + 50 = p*j + g. Suppose 3*f + 2*x = 53, 5*x + 167 = 5*f + 37. Calculate the remainder when j is divided by f.
20
Let g = 410 - 624. Let t = g + 237. What is the remainder when 128 is divided by t?
13
Let w(o) = -22*o**3 - 52*o**2 - 4*o + 9. What is the remainder when w(-3) is divided by 42?
21
Let p = -48 - -63. Calculate the remainder when 328/14 + p/(-35) is divided by 8.
7
Let u be -4 + 0/5 - 178. Let v = u - -211. Let r = 1 - -10. Calculate the remainder when v is divided by r.
7
Let a(k) = k + 1. Let z be a(3). Suppose -z*t - 12 = -212. Let r = t + -47. What is the remainder when 20 is divided by r?
2
Suppose 998 + 1207 = 15*b. Calculate the remainder when 472 is divided by b.
31
Let d(h) = 14*h - 42. Let w be 28/6 + (-2)/(-6). What is the remainder when 503 is divided by d(w)?
27
Suppose -4*p - 3 + 15 = 0. Suppose 9 = 3*b - 5*q, 9*b - 15 = 6*b + p*q. Calculate the remainder when 15 is divided by b.
7
Let t = -5819 - -6027. Calculate the remainder when t is divided by 55.
43
Suppose 40*i - 51*i + 33 = 0. What is the remainder when (-495)/(-5 - -2) + -6 + i is divided by 33?
30
Let f(l) = 12*l**2 + 76*l + 42. Calculate the remainder when 405 is divided by f(-6).
9
Let y(l) = -l**3 + 9*l**2 + 3*l + 6. What is the remainder when 459 is divided by y(9)?
30
Let u = -6257 + 6566. Calculate the remainder when 311 is divided by u.
2
Let b = -568 - -386. Let r = b + 218. What is the remainder when (52/(-8))/((-3)/66) is divided by r?
35
Let k = 698 - 564. Suppose a = -3*f + k, 3*f - 2*a = -7*a + 154. Calculate the remainder when f is divided by 16.
11
Let f(m) = -4*m**2 - 292*m + 69. Let s be f(-73). Suppose 3*g = 5*t - 19 - 54, s = 5*t + g. What is the remainder when 1/1*(-21)/(-1) is divided by t?
7
Let d = 95 + -80. Suppose 4*j = -2*i + 276, 5*i + 12*j - d*j = 651. What is the remainder when i is divided by 45?
42
Let x = -9279 - -9447. What is the remainder when 254 is divided by x?
86
Let t(b) = 3*b + 29. Let g be t(-8). Let f be g*3/6*(2 + 0). Suppose f*m + 48 = 178. What is the remainder when 205 is divided by m?
23
Let p(n) = -n**2 + 15*n -