is the remainder when ((-107)/(-4))/(z/(-20)) is divided by 54?
53
Suppose -15*t + 5*j + 770 = 0, -2*t - 3*j + 128 = 40. Calculate the remainder when 231 is divided by t.
31
Let q(m) = m**2 - 115*m - 924. Calculate the remainder when 77 is divided by q(-8).
17
What is the remainder when 1346 is divided by (21 + (-612)/30)*135?
50
Let t = 237 + -243. What is the remainder when 61 is divided by 2/(-2) - 18*(5 + t)?
10
Suppose 707 = 4*l + v, l = 5*l - 2*v - 722. Let a = l - 115. Calculate the remainder when a is divided by 11.
8
What is the remainder when ((-1754)/30)/((-50)/300)*(-5)/(-2) is divided by 228?
193
Suppose -5*m + 82 = 3*u, -3*u + 8 = -u. Let w be m/(-16) - (-1)/(-8). What is the remainder when 61 is divided by (3 + (w - -2))*4?
13
Suppose -2*q + 59 = -5*p, 4*p + 4*q = -0*q - 36. Let f = 13 + p. Suppose -f*a + 53 = -95. What is the remainder when a is divided by 38?
36
Suppose -3*l = -2*p + 252, -6 - 14 = 5*l. Suppose 4*i = 176 - p. Calculate the remainder when 32 is divided by i.
4
Suppose -66*o + 43911 = -3*o. Calculate the remainder when o is divided by 140.
137
Suppose 6*b - 830 = 220. Calculate the remainder when (28/b*5)/((-1)/(-5)) is divided by 2.
0
Let v(g) = -183*g - 1091. Calculate the remainder when 2474 is divided by v(-6).
3
Suppose -2*x + 6*x + 1784 = 4*c, -3*x = 4*c - 1770. Calculate the remainder when c is divided by 164.
116
Suppose -3*f + 26 = 2, 4*b + f = 2776. What is the remainder when b is divided by 346?
0
Suppose 3*z + 3*q - 20 - 16 = 0, -4*q + 16 = 2*z. Suppose 391 = z*h - 297. What is the remainder when 119 is divided by h?
33
Let l = 29939 + -28981. What is the remainder when l is divided by 5?
3
Calculate the remainder when -336*(-17 + 845/52) is divided by 105.
42
Let c = -31872 + 31889. What is the remainder when 2716 is divided by c?
13
Suppose 0 = 21*l - 145 - 1367. Suppose i - 6*i = -a - 192, -2*i + l = -2*a. What is the remainder when 228 is divided by i?
33
Suppose 0 = 54*f - 27*f - 837. Let m(l) = l**3 - 30*l**2 - 24*l - 29. What is the remainder when m(f) is divided by 64?
60
Suppose -y = 3*d - 1880 - 1636, -3*y - 2*d = -10534. Suppose 350 = -40*h + y. What is the remainder when h is divided by 12?
7
Suppose 6*z = 3*z - 5*k + 1606, 0 = 4*z - 2*k - 2150. Calculate the remainder when z is divided by 27.
24
Calculate the remainder when ((-3192)/(-126))/(-4 - 145/(-36)) is divided by 454.
4
Let a = 3004 - 2986. What is the remainder when 170/8*(3 + 1) is divided by a?
13
Let p(j) = 12*j + 478. What is the remainder when p(-26) is divided by 101?
65
Suppose -5*c + 65 = -40. Suppose 31*w + 92 = 33*w. What is the remainder when w is divided by (-38 - -2)*(-7)/c?
10
Suppose -4*x - 2*s = -202, -3*x + 2*s = -77 - 57. Let y = -13 + 18. Suppose 0 = 3*w + 5*r - y, 4*r + 8 = -0. Calculate the remainder when x is divided by w.
3
Let s = -2680 + 2724. Calculate the remainder when 1186 is divided by s.
42
Suppose 0 = -3*u - 0*u - 175 + 238. What is the remainder when 458 is divided by u?
17
Suppose 257 - 29 = 12*s. What is the remainder when 6705 is divided by s?
17
Let f = -6068 - -6091. Calculate the remainder when 1375 is divided by f.
18
Suppose 7*u - 418 = 268. Calculate the remainder when 411 is divided by u.
19
Suppose -3*r - r + 64 = 0. Suppose 509*x - 620 = 504*x - 5*d, -475 = -4*x + 3*d. Calculate the remainder when x is divided by r.
9
Suppose 0 = 10*u - 13*u + 108. Suppose -104 = -r - u. Let t = r + -43. Calculate the remainder when t is divided by 10.
5
Let u be (-10 + (-740)/(-30))*(-6)/(-4). Suppose -11*n = -u*n + 198. Calculate the remainder when n is divided by 10.
8
Let w = 62 + -35. Let a(q) = 17*q + 338. What is the remainder when a(-14) is divided by w?
19
Calculate the remainder when 336 is divided by (-418)/11*-3 + -9.
21
Suppose 3*c - 2839*n = -2838*n + 8128, 3*n = -c + 2686. What is the remainder when 5416 is divided by c?
2
Let c(m) be the first derivative of m**3/3 - 6*m**2 + 5*m - 8. Suppose -50 = -5*t - x + 15, 3*x = 0. What is the remainder when 67 is divided by c(t)?
13
Let y be -11 + 9 + 3/(-1). Let p be 256/10 + (-2)/y. Suppose 4*o + 2*q - 7*q - 66 = 0, -2*o = q - p. What is the remainder when 52 is divided by o?
10
Let j = 2756 - 2568. What is the remainder when j is divided by 16?
12
Let t = 412 + -391. Suppose -3*w + t = 2*b, 5*w = b - 17 + 39. What is the remainder when 51 is divided by w?
1
Let u = -4353 - -4507. What is the remainder when u is divided by 52?
50
Let i(y) = -y - 15. Let s be i(-5). What is the remainder when -3 + (-26)/s - 347/(-5) is divided by 18?
15
Let n(c) = 34*c - 76. Let a be n(9). Suppose 12*i + 11*i = a. Let d = -4 - -12. What is the remainder when i is divided by d?
2
Suppose -687*y - 288 = -690*y. Calculate the remainder when 258 is divided by y.
66
Let a(r) = 2*r**2 + 8*r + 16. Calculate the remainder when a(-4) is divided by -16*((-52)/(-8))/(-13).
0
Let d(o) = o**3 + 5*o**2 - 11*o - 13. Let g = 16 + -23. Let a be d(g). Let m = a + 45. What is the remainder when 21 is divided by m?
10
Suppose 2*c + 461 = -3*x, 0 = x + 5*c + 111 + 34. Let l = x - -270. What is the remainder when l is divided by 7?
3
Let k(c) = -c**3 - 13*c**2 - 50*c + 16. Let a be 56/((-40)/(-5))*-1. What is the remainder when 216 is divided by k(a)?
0
Suppose -5*r + 163 = m, 2*m = -15*r + 12*r + 375. Calculate the remainder when 1958 is divided by m.
176
Let k(m) = -6*m + 74. Let f be k(7). What is the remainder when -2*4/f + (-277)/(-4) is divided by 18?
15
Let f = 152 + -152. Suppose 13*y - 1590 + 407 = f. What is the remainder when y is divided by 47?
44
Let w = 5084 + -5051. Calculate the remainder when 53 is divided by w.
20
Let i be ((-4)/12)/((-3)/18). Suppose 4*j + 4*r = -152, -i*j + 2*r = -5*j - 116. Let o = -18 - j. What is the remainder when o is divided by 11?
0
Let t = 4 + -1. Suppose 28 = 7*y - t*y. Let r = 26045 + -26041. What is the remainder when y is divided by r?
3
Suppose o + o = d + 190, 5*d - 490 = -5*o. What is the remainder when -31*(-592)/48 - (-14)/21 is divided by o?
95
Let s = 28 - 25. Suppose -7*n - s*z = -3*n - 57, 46 = 2*n - 2*z. What is the remainder when -3 + (0 - -3*n) is divided by 20?
11
Suppose 12*l - 182 = 10*l - 2*v, 0 = -4*l - 6*v + 356. What is the remainder when 5507 is divided by l?
92
Let y = -65 + 137. Let g = y + -34. Let t = 26 + 86. Calculate the remainder when t is divided by g.
36
Suppose -2*k + 519977 - 519745 = 27*k. What is the remainder when (3*1)/((-2)/(-74)) is divided by k?
7
Let o = -262 + 310. Calculate the remainder when 407 is divided by o.
23
Suppose -4*m - 67 - 109 = 0. Let h be (43 + -1)*m/33. Let j = 141 + h. Calculate the remainder when j is divided by 22.
19
Suppose 5*q - 96 = 14. Let h = 1601 - 1514. Calculate the remainder when h is divided by q.
21
Let c be (-2 - 222)/((-3)/3). Let y = c + -207. What is the remainder when 80 is divided by y?
12
Let z = 278 - 250. What is the remainder when 279 is divided by z?
27
Suppose 6*h + 587 - 41 = 0. Let y = h + 112. Calculate the remainder when 76 is divided by y.
13
Suppose -20328 - 16734 = -213*k. What is the remainder when k is divided by 12?
6
Calculate the remainder when 537 is divided by (-7 - (-73)/4)/((-24)/(-128)).
57
Let t be -44*(-1)/(0 + -1). Let w = -15 - t. Suppose v = w - 8. Calculate the remainder when 39 is divided by v.
18
Let d(a) = -a**3 - 6*a**2 - 10*a - 97. Calculate the remainder when d(-9) is divided by 43.
21
Suppose 20*o - 22*o + 96 = 0. Let s(c) be the second derivative of -c**5/20 - 19*c**4/12 + 25*c**2/2 + 13*c. What is the remainder when o is divided by s(-19)?
23
Suppose 4*a + 28 = 4*u, 225*u + 4*a + 41 = 230*u. What is the remainder when 375 is divided by u?
11
Let d be 3/((-15)/(-2)) + 484/(-10). Let a(b) = 4*b - 15. Calculate the remainder when 4/(-3)*(d + 3) is divided by a(6).
6
Let w = -158 + 150. Let x(q) = 2*q**2 - 12*q - 191. What is the remainder when 88 is divided by x(w)?
22
Let y(n) = n**3 + 23*n**2 - 10*n + 47. Let x be y(-24). Let b = x + 301. Let i(w) = 46*w**3 + w - 1. What is the remainder when i(1) is divided by b?
10
Suppose -70*m + 51429 = -12621. What is the remainder when m is divided by 6?
3
Suppose -2*f + 4*g = -40, 0 = -3*f - g + 76 - 16. Calculate the remainder when 2459 is divided by f.
19
Let w = -782 - -83