. What is the remainder when n is divided by 24?
9
Let v(o) = -39*o + 86. Let k be v(5). Let u = k + 127. Calculate the remainder when 23 is divided by u.
5
Suppose 676*j - 681*j = -50. Suppose -4*y = -j*y + 612. Calculate the remainder when y is divided by 28.
18
Suppose -2*t + 80 = 2*z, 136 = 4*t - 51*z + 49*z. Let a = 84 + 57. Calculate the remainder when a is divided by t.
33
Let k = -9954 - -10263. What is the remainder when 1541 is divided by k?
305
Suppose -217*j + 0*j = -4774. What is the remainder when 238 is divided by j?
18
Let h = -5 + 70. Calculate the remainder when h is divided by (-5)/(-4) - ((-6322)/1308 - 1/(-12)).
5
Let g(x) = -x + 6. Let y be g(10). Let h be 40/(0 - y)*(-1)/(-2). Suppose j - h*u = 9, j = -j - 2*u + 18. Calculate the remainder when j is divided by 2.
1
Suppose 257*h - 696 = -4*x + 260*h, -2*h = x - 163. What is the remainder when 1884 is divided by x?
3
What is the remainder when 1243 is divided by ((-884)/(-39))/((-22)/(-231))?
53
Let s be 0 + 1 + (7 - 3 - 3). Calculate the remainder when (-1)/s - (-10)/(-4) - -281 is divided by 28.
26
Suppose 5*h - 60 = -3*b + 90, 4*h = -2*b + 98. What is the remainder when b is divided by (0 + -1 - -15)*1?
13
Let y = 91 + -47. What is the remainder when 52 is divided by (3/6)/((y/(-144))/(-11))?
16
Suppose 1340*u - 1341*u + 30 = 0. What is the remainder when 141 is divided by u?
21
Suppose -2*p + 3*n = p - 1035, -4*p - 5*n = -1425. Let c = p + -327. Calculate the remainder when c is divided by 6/9 - (-37)/3.
10
Suppose -4*w = w - 305. Calculate the remainder when (137472/(-1280))/((-6)/10) is divided by w.
57
Let l(o) = 2*o**2 + 2*o. Suppose 152*p = 133*p + 70*p - 9894. What is the remainder when p is divided by l(-5)?
34
Let c be (-14)/(2/((-6)/9) + 5). Calculate the remainder when 3/((-2922)/420 - c) is divided by 28.
14
Suppose -49112 = -26*v - 30*v. Calculate the remainder when v is divided by 18.
13
Suppose -19 = -9*i + 107. What is the remainder when 586 is divided by i?
12
Suppose 0 = 2*x - 20 - 18. Calculate the remainder when 7 + 30 + 6 + -11 is divided by x.
13
Let v(u) be the first derivative of u**3/3 - u**2/2 - 3*u - 15. Calculate the remainder when 32 is divided by v(-3).
5
Suppose -v + 13 = -6. Suppose 17*m = v*m - 4. Suppose 63 = m*d + d. What is the remainder when d is divided by 6?
3
Let d(f) = 6*f + 120. Let c(a) = 6*a + 121. Let z(v) = -5*c(v) + 4*d(v). What is the remainder when 130 is divided by z(-24)?
16
Calculate the remainder when 2580 is divided by ((-44)/10 - (-1092)/780)/((-3)/34).
30
Suppose 3*g = 0, -g = -d + 3*g + 19. Suppose 2*z - 16 = -3*r - 1, -4*z + d = -5*r. Suppose 0 = -3*l + z*l - 30. Calculate the remainder when 47 is divided by l.
7
Suppose 0 = -x - 3*b + 198 - 57, -5*x + 5*b = -645. Suppose -5*j - 64 - 17 = -2*n, 3*n - x = -3*j. What is the remainder when n is divided by 11?
10
Suppose -3*p - 4*f = -518, 0 = -4*p - 2*f + 559 + 115. Let j = 381 - 1605. What is the remainder when p is divided by j/(-45) + 28/35?
26
Let m = -452 + 518. Suppose 0 = 4*x, -53 = w - x - m. Calculate the remainder when 349 is divided by w.
11
Suppose 581 - 639 = -2*y - 4*p, -5*y - 2*p = -145. Let r(w) = -w**3 + 2*w**2 + 2. Let x be r(2). What is the remainder when y is divided by 15*(8/(-6) + x)?
9
Let u(n) = -430 + 33*n - 12*n + 3*n. What is the remainder when u(19) is divided by 4?
2
Let z(j) = -4*j + 60. Let i be z(12). Suppose -53 - i = -13*r. Suppose -3*g + 17 = 2*w - 90, -5*g + 190 = w. What is the remainder when g is divided by r?
4
Let s = 91 - 91. Suppose 16*c - 15*c - 11 = s. What is the remainder when 119 is divided by c?
9
Let r = 1066 + -719. Suppose -r - 21 = -8*q. Calculate the remainder when 228 is divided by q.
44
Let u = 4411 - 1935. Calculate the remainder when u is divided by 21.
19
Let i = 30 - 29. Let j be i/((0 + -1)/(3 + -6)). Suppose -j*l + 12 = 0, 6*z - 128 = 3*z - 5*l. What is the remainder when 179 is divided by z?
35
Let n(p) = -6*p**2 - 7 + 9 + 5*p + 25*p**2. Let v be n(-2). Let k = 110 - v. What is the remainder when 81 is divided by k?
39
Suppose -38883 - 12929 = -118*k + 12026. Calculate the remainder when k is divided by 535.
6
Let n(d) = -57*d + 350. Let r be n(6). Suppose 12 = 2*x + r. What is the remainder when 9 is divided by x?
1
Let q be ((-96)/10)/((-16)/40). Suppose -27*c + 18 = -q*c. Suppose 3*z - 923 = -10*z. What is the remainder when z is divided by c?
5
Let m = 2975 - 2968. What is the remainder when 216 is divided by m?
6
Suppose 3*l - 4*b - 62 = 0, -3*b + 40 = 2*l - 5*b. Suppose h = -h + l. Suppose 489 + 1075 = q + 91*q. What is the remainder when q is divided by h?
8
What is the remainder when 562 is divided by ((-10 - -9) + 37)/1?
22
Suppose -3*h + 5 = -4*j, 0 = -4*h + 2*h + 3*j + 3. Let x(d) = 13*d - 48. What is the remainder when x(5) is divided by h?
2
Suppose -22*t + 126 = -270. What is the remainder when 2032 is divided by t?
16
Let w be -3 + (2745/60)/((-1)/(-4)). Suppose -4*f = l - w, 0*f - 2*f = -10. What is the remainder when l is divided by 42?
34
Let g = -27 + 29. Let h be (g/(-6))/(1/(-225)). Suppose 0 = -28*n + 25*n + h. What is the remainder when 48 is divided by n?
23
Calculate the remainder when ((-3)/(-2))/(-15 - 90883/(-6058)) is divided by 13.
10
Let u be (4 - (-1 + 99))*-1. Let b = u - 75. Suppose -4*c + 3*p - b = -5*c, -3*p = -3*c + 93. Calculate the remainder when 53 is divided by c.
25
Suppose -2*y = -h - y - 2, -h = y - 8. Suppose -7*q - h*q = 0. Calculate the remainder when 1 - (q + -26) - (-3)/(-3) is divided by 6.
2
Suppose -5*t + 274 = -176. Suppose 0 = -41*f - 904 + 1437. Calculate the remainder when t is divided by f.
12
Let a(d) = 18*d**2 - 3*d - 3. Let g be a(-1). Let l = -16 + g. Calculate the remainder when 11 is divided by l.
1
Suppose 5875 - 50995 = -141*g. Calculate the remainder when g is divided by 134.
52
Suppose -332*i - 241 = -336*i + 3*f, 0 = -5*f + 25. Calculate the remainder when 17406 is divided by i.
62
Let s = -520 + 539. Suppose -s*b = -997 - 1112. What is the remainder when b is divided by 14?
13
Let w(b) = 167*b - 23. Let k be w(3). Suppose 0 = -10*c + 11*c - 5*j - 141, -4*j - k = -3*c. What is the remainder when c is divided by 8?
6
Let q(a) = -3*a**2 - a + 2. Let n(h) = -4*h**2 + 1. Let l(r) = 2*n(r) - 3*q(r). What is the remainder when l(-14) is divided by 38?
36
Suppose 0 = 2*h - 118 + 36. Suppose 3 = -3*i + 6. Calculate the remainder when (i + 2)*(2 + -1) - -117 is divided by h.
38
Calculate the remainder when 1693 is divided by -4*(0 - 0 - ((-44)/16)/(-1)).
10
Let y be (36/15)/((-14)/35). What is the remainder when -84*(39/y + 6) is divided by 22?
20
Let f(a) = -a**3 + 23*a**2 - 51*a - 117. Suppose -4*j = -0*j - 128. Calculate the remainder when f(20) is divided by j.
31
Let w be (-1 + (-2)/(-4))*-134. Suppose -5*t = -f - 134, 5*t - 98 - 39 = -2*f. Let r = w - t. What is the remainder when r is divided by 11?
7
Let b be 2254/(-35) - 4/(-10). Let y = b - -49. Calculate the remainder when 43 is divided by (-2 - (-16)/(-3))/(10/y).
10
Suppose 296*d - 295*d - 2617 = -3*q, q = -d + 2631. What is the remainder when d is divided by 264?
262
Let j(u) = 28*u**2 - 2*u. Suppose -l = 3*t - 3 - 2, -t - 2 = 4*l. Let b = -131 + 219. Calculate the remainder when b is divided by j(l).
28
Let z(c) = -3*c**3 - 13*c**2 - 5*c + 17. What is the remainder when 83 is divided by z(-4)?
20
Let f(d) = d**3 - 34*d**2 - 72*d + 81. Let o be f(36). Let v = -17 + 80. Let b = o - v. What is the remainder when b is divided by 7?
4
Let g(r) = 9*r + 21. Suppose 0 = -n + 2, a + 4*n - 10 + 4 = 0. Calculate the remainder when 9 is divided by g(a).
0
Let p be (-82)/328 - 1894/8. Let x = 299 + p. Calculate the remainder when x is divided by 9.
8
Let l be ((-84)/(-8))/(12/64). Suppose y = -4*v + l + 175, 3*y - 653 = -2*v. What is the remainder when y is divided by 7?
5
Suppose -4*b - 4*f + 544 = 0, 3*f - 93 - 581 = -5*b. Suppose o + b = 3*o + 5*y, 3*o - 5*y = 237. Let m = o + -35. What is the remainder when m is divided by 14?
11
Suppose -307 = -4*v + 565. Suppose 3*g - 82 + 469 = 0. Let a = v + g. Calculate the remainder when a is divided by 18.
17
Let f(p) = -p**2 - 22*p + 378. Let b(v) = 0*v - 8*v - 4*v + 2*v - 6. What is the remainder when b(-5) is divided by f(-33)?
14
Suppose 2*k