*x + 28 - 16. Suppose -5*j + 46 = -x*j + 2*s, -3*j = -s - 124. Calculate the remainder when j is divided by 23.
19
Let v(d) = -d**3 + 46*d**2 - 57*d - 90. Let n be v(44). Suppose 4*j - g = 1233 + 50, 4*j = -2*g + n. Calculate the remainder when j is divided by 81.
77
Suppose -49*c = 32*c - 59*c - 1298. What is the remainder when 349 is divided by c?
54
Let y = 259 + -112. Suppose -y = -3*f - 2*h + 116, 437 = 5*f + 4*h. What is the remainder when f is divided by (-2)/5 - 1410/(-150)?
8
Let o = -172 - -172. Suppose 259 = g + 3*h, -6*g + 4*g - h + 523 = o. What is the remainder when g is divided by 53?
50
Suppose -27 + 2 = -5*d. Suppose -4*i + 29 = d. Let y = 27 - 11. Calculate the remainder when y is divided by i.
4
Let p = -375 - -378. Suppose -f = p*r - 621, 828 = 6*r - 2*r - 5*f. What is the remainder when r is divided by 65?
12
Let b(k) = -3*k**2 + 6*k + 553. Suppose -s - 96 = -4*s. What is the remainder when b(13) is divided by s?
28
Suppose 2*d = 0, 4*t = -d + 488 - 20. What is the remainder when t is divided by 4/26 + 2*(-231)/(-39)?
9
Let h(g) = -g**2 - 48*g + 616. Calculate the remainder when h(-54) is divided by 10.
2
Suppose -18 = 22*b - 18. Suppose -4*w = -35*i + 31*i - 968, b = w + i - 246. Calculate the remainder when w is divided by 62.
58
Suppose -20*a - 2283 = -15*a - 4*r, -r - 1380 = 3*a. Let o = 472 + a. What is the remainder when 244 is divided by o?
10
Let r = -268 + 264. Calculate the remainder when 717 is divided by (-7 - -43)/((-6)/r).
21
Let s(g) = -g**3 - 7*g**2 - 2*g - 9. Let l = 18 - 16. Suppose -l*n - n = -42. What is the remainder when n is divided by s(-7)?
4
Let k = 50 - 46. Suppose 0 = -4*c, -k*c + 15 = 5*h - 7*c. Suppose -215 = -h*n + 112. Calculate the remainder when n is divided by 28.
25
Let a(i) = i**3 + i**2 + 71. Let v(p) be the third derivative of p**5/60 - p**4/4 - 67*p**3/6 - 78*p**2. Calculate the remainder when a(0) is divided by v(-7).
23
Let y be 319 + (0 - (-4)/(-3))*-3. Let m = y - 294. What is the remainder when 142 is divided by m?
26
Let v = 6228 - 3549. Calculate the remainder when v is divided by 6.
3
Suppose 4*i + t - 26 = i, -4*i + 33 = t. Let q = -33734 - -33763. What is the remainder when q is divided by i?
1
Let a(u) be the third derivative of u**5/60 + u**4/12 - 2*u**3/3 - u**2 + 25. What is the remainder when -78*(10/(-4))/5 is divided by a(-6)?
19
Suppose 2*t - 6 = -5*m, -5*m = -m. Suppose -7*d + t*d = -2*s, -5*d - 20 = -5*s. Suppose 1565 = s*a - 3*a. What is the remainder when a is divided by 45?
43
Let c = -6007 + 6137. What is the remainder when 374 is divided by c?
114
Suppose 0 = 15*r + 150*r - 368445. What is the remainder when r is divided by 86?
83
What is the remainder when 2751314/342 + (-4)/(-18) is divided by 18?
17
Suppose 4*y - 85 = 3*h, 3*h = -4*y - 67 - 34. What is the remainder when 24/((-4)/1) - h is divided by 8?
1
Suppose -2*h + 7 = -43. Let f(x) = -13 + x**3 - 12*x - 24*x**2 + 3 - 13*x + 32. Calculate the remainder when 62 is divided by f(h).
18
Let d(v) = -v**2 - 18*v - 29. Let q be d(-16). Suppose 4*r - 26 = -q*k, 6*r - 10 = r. Calculate the remainder when 1/((-12)/78*(-1)/k) is divided by 8.
7
Let h(z) = 12*z**2 + 13*z + 3. Let f be h(-5). Suppose 0 = d + 4*x - 56, -3*d - 2*x + f = -4*x. What is the remainder when 377 is divided by d?
73
Suppose 3*g + 10 = 3*d + 1, -2*d = 3*g - 11. Suppose d*m = 2*m + 3*k - 9, -m = k + 2. Calculate the remainder when 28 is divided by 22/m*(2 - 14/4).
6
Suppose -36 = -4*r + 12. Let b(k) = -k**3 + 63*k**2 - 4*k + 297. What is the remainder when b(63) is divided by r?
9
Let j(t) = -t**2 - 13*t - 37. Let d be j(-6). Suppose -3*a - d*q + 53 = 0, -23*a - 4*q + 13 = -22*a. What is the remainder when 62 is divided by a?
20
Suppose -22 = m - 17. Let c = m + 9. What is the remainder when c is divided by (38/(-60) + (-10)/(-75))*-2?
0
Suppose -319*r + 327 = -316*r. Calculate the remainder when 229 is divided by r.
11
Suppose 4*x + 74*s - 10899 = 71*s, 0 = -4*x - 2*s + 10902. Calculate the remainder when x is divided by 11.
10
Suppose z + 9 = 14. Suppose 0 = 116*r - 136*r + 640. What is the remainder when r is divided by z?
2
Suppose 5*i - 12*q + 17*q + 1225 = 0, -5*i - q = 1205. Calculate the remainder when 30 is divided by 77*(7 + i/35).
8
Suppose -4*h - 4*j - 32 = 0, h + 3*j - 1 = 3*h. Let z(t) = -28*t - 104. What is the remainder when 393 is divided by z(h)?
33
Let p = -24 - -88. Let f = p - 41. Suppose -r + 0*r = -f. What is the remainder when r is divided by 12?
11
Let y = -16 + -4. Let b = -11 - y. What is the remainder when (6/(-2))/(-5*(-2)/(-110)) is divided by b?
6
Let p = -26688 - -26716. Calculate the remainder when 3964 is divided by p.
16
Let j be -15*(64/(-10) + 1). Let g = j + -77. Suppose -g*y = -227 - 177. What is the remainder when y is divided by 34?
33
Let y = -28157 + 35370. Calculate the remainder when y is divided by 41.
38
Let g = -1669 - -1672. What is the remainder when 1940 is divided by g?
2
Calculate the remainder when (3 + 123/2)*-25*(-32)/120 is divided by 143.
1
Let u = 25 + -13. Suppose -72 = 8*m - 17*m. Suppose -m*x + 59 = -5. Calculate the remainder when u is divided by x.
4
Let v(h) = -30*h + 381. What is the remainder when v(7) is divided by 63?
45
Let x = 7 + -30. Let u = 32 + x. Let p(z) = 232*z + 14419. Calculate the remainder when p(-62) is divided by u.
8
Let u(m) = m**2 - 35*m + 55. Calculate the remainder when 1702 is divided by u(34).
1
Let r be (18/(-45) - (-6)/(-10))*-5. Suppose -4 = r*b - 19. What is the remainder when (b - (-134)/10)*(4 + 1) is divided by 30?
22
Let d = 7970 - 6254. Calculate the remainder when d is divided by 42.
36
Let d = 440 + -257. Suppose 74 = -0*h + 2*h. What is the remainder when d is divided by h?
35
Let g(l) = 8*l**2 + 51*l + 87. What is the remainder when 423 is divided by g(-6)?
9
Let i(k) = 199*k + 492. What is the remainder when i(9) is divided by 18?
15
Let a = 36 + -36. Let l(i) = i**2 + i + 10. Let s be l(a). Suppose -s*q + 13 = 3. What is the remainder when 5 is divided by q?
0
Let f be (4 + -2 + 0)/1. Suppose l + l + 4*i - 8 = 0, 5*i + 8 = f*l. Suppose l*k = -4*g + 44, -k = -4*g + 6 - 2. What is the remainder when 19 is divided by k?
3
Let r(n) = 40*n - 5. Let x be r(1). Let y = x + -33. Suppose y*v + v = 39. What is the remainder when 25 is divided by v?
12
Suppose -756 = -14*s - s - 156. What is the remainder when 791 is divided by s?
31
What is the remainder when 249 is divided by -1 - -17 - (-109 + 104)?
18
Suppose 650 = 42*k - 106. Let g be 2*1/2*-1. Let i = 26 - g. Calculate the remainder when i is divided by k.
9
Let m(t) = t**2 + 3*t - 3. Let n(h) = h - 15. Let v be n(11). Let f be m(v). Calculate the remainder when 3479/56 - f/8 is divided by 11.
7
Let j(k) = -3*k + 56. Let g = 248 + -234. Calculate the remainder when 1/(168/166 - 1) is divided by j(g).
13
Let n be (1 + 3/9)/((-18)/(-243)). Suppose n*o - 5*o = 104. Calculate the remainder when 71 is divided by o.
7
Let d(i) = 17*i - 153. Calculate the remainder when 506 is divided by d(12).
47
Let i(k) = 306*k + 18462. Calculate the remainder when i(-52) is divided by 127.
10
Let a(x) = 10*x - 802. What is the remainder when 1167 is divided by a(82)?
15
Suppose -1290 = l - 6*l. Let s = 333 - 337. Calculate the remainder when 171 is divided by l/s*(-2)/3.
42
Let z(v) = 75*v + 162. Let j(a) = -50*a - 107. Let u(y) = -8*j(y) - 5*z(y). What is the remainder when u(7) is divided by 42?
11
Suppose 0 = -124*g + 13*g + 6117 + 2652. Calculate the remainder when 1384 is divided by g.
41
Suppose 700 = 5*t - 4*f, -t = -3*f - 92 - 48. Suppose m - x = t, -208 = -m - 2*x - 65. What is the remainder when m is divided by 2 - (-2)/((-4)/(-22))?
11
Suppose -643 = -4*w - 19*h + 14*h, 850 = 5*w - 3*h. Calculate the remainder when w is divided by 42.
41
Let r(t) = -t**3 - t**2 - 5. Calculate the remainder when (2/(-8))/(535/(-175480)) is divided by r(-4).
39
Suppose 0 = 2*a + 3*h + 4 - 22, 0 = -4*a + 3*h + 36. Suppose 4*c = f + 73 + 7, 185 = -3*f + c. Let p = f + 102. Calculate the remainder when p is divided by a.
6
Suppose 82 = -51*y + 56*y + 3*b, -4*y = -3*b - 71. What is the remainder when 3040 is divided by y?
14
Let r(n) = -2*n + 10*n + 15*n + 2*n - 24. What is the remainder when 97 is divided by r(2)?
19
