. Calculate the remainder when 52 is divided by n.
4
Let q be 105/(-25) + 1/5 - -82. Suppose 0 = -3*d - 4*z + q, 10*d - 3*z - 79 = 6*d. Calculate the remainder when 57 is divided by d.
13
Let v(j) = -3*j + 3. Let b = -193 + 423. Suppose -b = -5*m + 4*q, -5*m + 2*m - q = -155. What is the remainder when m is divided by v(-8)?
23
Let k(g) = 16*g**3 + 2*g**2 + 8*g - 117. What is the remainder when k(8) is divided by 13?
12
Suppose 3*c + 5*r - 60 = r, -5*r + 95 = 5*c. Calculate the remainder when 11277 is divided by c.
13
Suppose -p + 4*a = 5 + 2, 0 = 5*p - 4*a - 13. Suppose -p*t + 2 = -4*t. Calculate the remainder when 31 is divided by t - 12/(-4)*2.
7
Suppose 20*k + 328 = 24*k. Suppose 2*r - 4*p = k, 9*p = 5*r + 4*p - 190. What is the remainder when 119 is divided by r?
14
Let n be (-1 - 4/(-2))*(15 - 2). Suppose 80 = n*v - 11*v. Let w = v - 37. What is the remainder when 17 is divided by w?
2
Suppose -3 = -9*u + 15. Suppose 55 = 5*z + 5*m, 4*m = 2*z + 1 - 5. Suppose -4*b - z = 4*x, 4*b + 3*x + u = -2. Calculate the remainder when 2 is divided by b.
0
Let n(w) = -2*w**3 + 71*w**2 - 17*w - 24. Let d be n(35). Let c = d - 576. Calculate the remainder when 130 is divided by c.
10
What is the remainder when 4336 + (40/(-6))/(-1)*(-33)/(-44) is divided by 26?
25
Suppose 0 = -22*v + 3*v + 361. What is the remainder when 168/18*(-42)/(-7) is divided by v?
18
Let z = 16867 + -16050. What is the remainder when z is divided by 118?
109
Suppose -2*j + 26 = -4*h, -h - j + 5 = -2*h. Let a = 20 + h. Suppose 0*q - 3*q + a = 0, -q = -3*z + 257. What is the remainder when z is divided by 22?
21
Let g(x) = -27*x**3 - 187*x**2 + 4*x + 50. What is the remainder when g(-9) is divided by 33?
29
Let z(o) = -o**3 - 5*o**2 + 2*o + 4. Suppose 0 = 3*w + 85*u - 86*u - 120, 5*u = 3*w - 144. What is the remainder when w is divided by z(-6)?
10
Suppose 1314 = 9*q - 945. Calculate the remainder when q is divided by 63.
62
Suppose 14*k = 17*k. Suppose -2*c + 3*l = k, -c + 5*l = -2*c. Suppose 5*j + 2*q = 16, 2*j - 3*q = -c*q + 14. Calculate the remainder when 15 is divided by j.
3
Let w(p) = -p**2 + 272*p - 1582. Calculate the remainder when 461 is divided by w(6).
13
Calculate the remainder when 594 is divided by (1912/(-6))/(96/(-72)).
116
Let b = 150327 + -150314. Suppose v + 119 = 2*o, 0*v = 2*o + 2*v - 134. Calculate the remainder when o is divided by b.
10
Suppose -23*i - 32 = -31*i. Suppose i*l + 189 = 11*l. What is the remainder when (-6)/2 - (-194 + 3) is divided by l?
26
Suppose -3*s + 3*j + 26103 = 0, 3*j - 8700 = -s + 5*j. Calculate the remainder when s is divided by 128.
126
Suppose -2*n = -k + 26, -5*n - 5*k - 7 - 73 = 0. What is the remainder when (-6)/n - (1956/(-42) - 4) is divided by 3?
0
What is the remainder when 47 is divided by (2 - (18 + 2))*(-766)/1149?
11
Let r = -481 + -289. Suppose -32*z = 410 - 3002. What is the remainder when z is divided by (-18)/(-81) + r/(-18)?
38
Let x(u) = 2*u**3 + 3*u**2 - 25*u - 3. What is the remainder when 1339 is divided by x(-3)?
34
Suppose -j = 3*j + 4*u - 300, 25 = 5*u. Suppose 50605 = -14*g + 98*g + 61*g. What is the remainder when g is divided by j?
69
Let u(h) = 107*h**2 - 442*h + 443. What is the remainder when u(1) is divided by 13?
4
Suppose -5*s = -171*l + 173*l - 2765, 3*l = 0. Calculate the remainder when s is divided by 140.
133
Let b(v) = -20*v + 35. Let j be b(4). What is the remainder when 55*-1*153/j is divided by 24?
19
Suppose 128 + 33 = 3*i + x, 4*i - 2*x = 228. Suppose i = 2*q - 51. What is the remainder when 103 is divided by q?
50
Let h(i) = 14*i + 27. Calculate the remainder when 293 is divided by h(4).
44
Let k be (-1 - 0)/((12/(-81))/4). Let r = k + -25. Suppose 2*l = -r*x + 90, 93 = 3*l + x - 38. Calculate the remainder when l is divided by 15.
13
Let k(j) = j**3 - 35*j**2 - 2*j + 1233. Suppose -5*l + 295 = -4*y + 1712, 353 = y - l. Calculate the remainder when y is divided by k(34).
6
What is the remainder when (20/(-16) + 499*4/16)*2 is divided by 239?
8
Suppose 0 = 19*h - 14*h - 2 - 1598. What is the remainder when h is divided by 94?
38
Let b = 157 + -152. Suppose 3*p - 3*o + 7*o = 37, -o = b*p - 56. Calculate the remainder when 142 is divided by p.
10
Suppose -j + 137 = 133. Suppose -5*n - 81 = -9*n + l, 5*n = j*l + 93. What is the remainder when 54 is divided by n?
12
Suppose 0 = -4*i - z + 19359, 480*i + z = 477*i + 14519. Calculate the remainder when i is divided by 103.
102
Suppose 0 = q + 3*l + 138, 6*l - l = -20. What is the remainder when (-72)/q - (-1123)/7 is divided by 15 - 1/3*0?
11
Suppose 415 + 7717 = 107*u. What is the remainder when 781 is divided by u?
21
Let x = -93 + 97. What is the remainder when 20 is divided by 28/(x + -5 + (-1 - -4))?
6
Let l be (44/(-8) + 5)/((-1)/8). Suppose l*x - 70 = 2*x. Calculate the remainder when x is divided by 20.
15
Suppose -137*r + 131*r = -5154. Let h = r + -511. Calculate the remainder when h is divided by 13.
10
Suppose 3*v = -4*l + 512, -2*v + 640 = 5*l - 0*v. Let y = -15943 + 15970. Calculate the remainder when l is divided by y.
20
Suppose -506 = 4*l - 2*o, o - 8 + 3 = 0. Let p = -82 - l. What is the remainder when 82 is divided by p?
40
Let r = 6817 + -6769. What is the remainder when 406 is divided by r?
22
Calculate the remainder when 557 is divided by 43/3 - 5*23/345.
11
Calculate the remainder when (6 - 1)*3/5*(-101128)/(-24) is divided by 42.
41
Let x be (40/(-30))/((-1)/((-45)/(-2))). Suppose 0 = x*w - 41*w + 1342. Calculate the remainder when w is divided by 42.
38
Let a = 19451 + -19433. What is the remainder when 20697 is divided by a?
15
Suppose 0*c - g = -3*c + 230, -2*g + 365 = 5*c. Suppose -2*k - 22 = -v, 3*k = -35*v + 34*v + 32. What is the remainder when c is divided by v?
23
What is the remainder when 957 is divided by (12/42)/(14395/4795 + -3)?
135
Suppose 4*b - 5*j - 3850 = 0, 0 + 12 = -2*j. What is the remainder when b is divided by 120?
115
Let v = 390 - 273. Calculate the remainder when v is divided by (0 - 4)*(-315)/84.
12
Let b be -1 + (-16)/(-3) - (-5)/(-15). Calculate the remainder when 70 + -11 + b + (-8)/(-2) is divided by 14.
11
Let q = -14365 + 14374. Suppose -2*p = -3*p. Suppose t + p = 2. What is the remainder when q is divided by t?
1
Suppose 2*f - 94 = -29*v + 25*v, 3*v + 2*f - 70 = 0. Calculate the remainder when 978 is divided by v.
18
What is the remainder when ((-4180)/(-35))/(8/308) is divided by 5?
3
Let g be ((-15)/6 - -2)/((-1)/216). Let c be ((-6)/9)/(3/(g/(-8))). Suppose -2*b + 14 = 4*i, 4*i + 4 = 3*b + c. Calculate the remainder when 16 is divided by i.
0
Let l(a) = 7*a + 30. Let m be l(-6). Let o be (-279)/m*32/12. Let z = -38 + o. What is the remainder when 46 is divided by z?
22
Let f(k) = 3*k**2 + 58*k - 40. Let m be f(-20). Suppose -5*j + 64 = d, -d - 7*j + 11*j + 28 = m. What is the remainder when 102 is divided by d?
14
Let k = 1575 - 1540. Calculate the remainder when 104 is divided by k.
34
Let r(m) = -m**2 - 167*m - 931. Calculate the remainder when 399 is divided by r(-6).
14
Let o(r) = 83*r - 3916. Calculate the remainder when o(53) is divided by 25.
8
Let c = 52 - 11. Let k(j) = -j**3 - 15*j**2 + 42*j + 27. Let x be -12*((-65)/(-10) - 6) + -12. What is the remainder when k(x) is divided by c?
38
Let m be ((-112)/24)/((-8)/(-12)). What is the remainder when (m/2)/((39/(-60))/13) is divided by 20?
10
Suppose 2*w - 12*h - 532 = -13*h, 2*w - 3*h - 532 = 0. What is the remainder when w is divided by 247?
19
Let d(y) = -281*y - 1336. Suppose 4 = m - 6*m + 3*w, 2*m + w - 5 = 0. What is the remainder when d(-5) is divided by (-9*m)/(4/(-8))?
15
Suppose 0 = -3*p - 15, 3*t - 147 = 56*p - 53*p. Calculate the remainder when 193 is divided by t.
17
Let i(s) = s. Let r(b) = 3*b + 36. Let z(f) = 6*i(f) - r(f). Let t be z(0). Let g = 46 + t. Calculate the remainder when 28 is divided by g.
8
Let n(j) = -2*j + 13. Suppose -1 = 5*x + 24. Let h be n(x). Suppose 22*m = h*m - 21. Calculate the remainder when 102 is divided by m.
18
Let a = 28 + -25. Suppose -y + 154 = -a*v + 701, -3*v + 557 = y. Calculate the remainder when v is divided by 47.
43
Let x(u) = 14*u + 22. Let q(m) = -15*m - 25. Let n(w) = 5*q(w) + 6*x(w). Let r = 14 - 5. What is the remainder when n(4) is divided by r?
7
Let h(z) = 