e the remainder when 38 is divided by p.
12
What is the remainder when (-8)/108 + (-140790)/(-162) is divided by 109?
106
Let n be ((-1 - -43)/(-1))/((-1)/1). Suppose -u + n = u. What is the remainder when u is divided by 11?
10
Let o = 850 - 767. Calculate the remainder when 460 is divided by o.
45
Let c = 3759 + -3660. Calculate the remainder when 207 is divided by c.
9
Let c = -3120 + 5288. What is the remainder when c is divided by 12?
8
Suppose -569*u + 168071 = 4*m - 566*u, 210085 = 5*m + 3*u. What is the remainder when m is divided by 15?
14
Suppose h = -2*a + 2211, 6498 = -5*h + 8*h + 21*a. Calculate the remainder when h is divided by 318.
3
Let b be 9 - (-6 + 1 + 12). Calculate the remainder when 97 is divided by 16/48 - ((-160)/6 + b).
22
Suppose -24*n + 10*n = 0. Calculate the remainder when ((-4)/(-6)*3)/1 is divided by n/1 + (5 - (2 + 1)).
0
Suppose 4*j = 55 + 249. Let y be 2 + 2 + (6 - 8)/(-1). What is the remainder when j is divided by (-1044)/(-27) + y/18?
37
Suppose 4*j + 0*j = 20. Calculate the remainder when -3 - (309/(-15) - 2/j) is divided by (-2)/(-8) + (-45)/(-12).
2
Suppose -5274 = -88*f + 534. What is the remainder when f is divided by 52?
14
Suppose -5*c = 2*u - 75, c + 608 - 13 = 24*u. Calculate the remainder when 338 is divided by u.
13
Calculate the remainder when 151 is divided by 7 + -1 + (-1)/(5/(-455)).
54
Let c = -404 - -407. Suppose -4*x - 9 = -3*o - 2, -2*x + 4 = 0. Suppose -238 = -o*u - 53. Calculate the remainder when u is divided by c.
1
Calculate the remainder when (225/(-135))/(45832/(-30549) + (-3)/(-2)) is divided by 37.
33
Suppose 115*a - 34883 = 19052. Calculate the remainder when a is divided by 448.
21
Let z = -69 - -73. Suppose 0*s = s - z, -120 = -2*g - 4*s. Calculate the remainder when g is divided by 30.
22
Calculate the remainder when 0/(32/4) + (30 - -2) is divided by 2/6 + (-224)/(-21).
10
Suppose -5*r - k = -84, 0 = -k - 1. Let g(z) = 24*z**2. Let p = 134 + -135. Calculate the remainder when g(p) is divided by r.
7
Let t = -144969 + 144997. Let q(o) = 34*o**2 - 2*o + 1. Calculate the remainder when q(1) is divided by t.
5
Suppose 44*u + 58*u = 14280. Calculate the remainder when u is divided by 75.
65
Suppose 52*y + 3*y = -15*y + 8750. Calculate the remainder when 5124 is divided by y.
124
Let k = 193 - 186. Calculate the remainder when 80 is divided by (-5 + k - -9) + 6.
12
Let k(h) = 5*h**3 - 15*h**2 + 27*h - 4. What is the remainder when 3837 is divided by k(2)?
27
Let v(i) = -i**2 - 18*i + 18. Let n(p) = 573*p + 26. What is the remainder when v(-13) is divided by n(0)?
5
Suppose -8*b + 30384 = 10*b + 6*b. What is the remainder when b is divided by 27?
24
Suppose -360 - 1564 = -37*t. Calculate the remainder when t is divided by 34.
18
Suppose 35 = 3*d - 2*d. Let w(s) = s**3 + s**2 - 12*s + 25. Let l = 583 - 578. What is the remainder when w(l) is divided by d?
10
Let d(s) = s**3 - 80*s**2 - 67*s + 69. Calculate the remainder when 2417 is divided by d(81).
11
Suppose -5*i = 391 - 1506. Suppose -66*l + 627 = -55*l. What is the remainder when i is divided by l?
52
Let a(j) = -28*j**2 - 5*j - 6. Let f be a(-5). Let g = -555 - f. Calculate the remainder when g is divided by 10.
6
Let d(m) = 14*m**2 + 4*m + 3. Let c = 44 + -42. Suppose 3*f + 3 = 0, -4 = 4*n + c*f + 2. What is the remainder when 153 is divided by d(n)?
10
Suppose 3*g = 3*a - 6, -20 = -5*g - 0. Suppose a*i + 0*i = -54. Calculate the remainder when 183 is divided by 3*(-91)/i - (-2)/3.
28
Let f(x) = x**3 - 50*x**2 + 183*x + 142. Calculate the remainder when 143 is divided by f(46).
47
Let j(s) = -7*s**3 + 4*s**2 + s. What is the remainder when 3827 is divided by j(-1)?
7
Suppose 2*c = 3*k - 7, -2*k - c + 6*c + 12 = 0. Let m be k/5 + (-216)/(-45). Suppose h - 84 = -m*h. Calculate the remainder when 52 is divided by h.
10
Suppose 0*o - 15 = b - 3*o, -b - 10 = -2*o. Suppose b = 3*u + p - 108, 4*u - 12 - 143 = -5*p. Calculate the remainder when 92 is divided by u.
22
Suppose -16*o - c + 89 = -15*o, 4*o + 3*c = 352. What is the remainder when o is divided by 28?
1
Suppose -3*c = 3*y - 1026, -18*c = -5*y - 19*c + 1694. Let a = y - 295. Calculate the remainder when 137 is divided by a.
8
Let t = 357 + 111. Suppose 35*u = 16*u + 95. Suppose -137 = -u*z + t. What is the remainder when z is divided by 31?
28
Suppose -13*j - 275 = 12*j - 2150. What is the remainder when 2100 is divided by j?
0
Let a(u) = 4*u**2 - 4*u - 2. What is the remainder when (12/(-4))/(-6)*-8 - (-21 + -72) is divided by a(-3)?
43
Suppose k - 1587 + 5295 = 2*j, 9276 = 5*j - k. What is the remainder when j is divided by 15?
11
Suppose 3*x + 102*b = 103*b + 1535, 4*b = 4*x - 2060. What is the remainder when 2048 is divided by x?
8
Suppose 3*b - 9*b = -18*b + 216. Suppose -3*i + 159 = -3*h, -5*i - 2*h + 362 - 69 = 0. Calculate the remainder when i is divided by b.
3
Let v(o) = -20*o**3 + 99*o**2 + 9*o - 2. Calculate the remainder when 45 is divided by v(5).
9
Let v(w) = w**3 - 4*w**2 - 4*w - 16. Let d be v(5). What is the remainder when (-279)/(-62)*1*(-1 - d) is divided by 13?
6
Let x(t) = -3*t**2 + 22*t - 198. Let a(i) = -14*i**2 + 88*i - 793. Let l(v) = 2*a(v) - 9*x(v). What is the remainder when 137 is divided by l(-28)?
25
Let i = 163 + -107. Suppose -12*f + 172 = -i. Let a = -59 + 114. Calculate the remainder when a is divided by f.
17
Suppose -5*d = -2*v - 1174, -19*v - 696 = -3*d - 15*v. Suppose -3*z + a + 237 = 0, 3*z - 2*a - 316 = -z. Calculate the remainder when d is divided by z.
78
Suppose -936 = -4*p - 4*w, -22*p = -23*p + 2*w + 234. Suppose 0 = 6*v - 88 - 152. Calculate the remainder when p is divided by v.
34
Suppose -27*y - 24 = -30*y. Let t(g) = g - 5. Let s be t(y). Suppose b + s = -3*d, 2*d + 44 = -0*b + 4*b. What is the remainder when b is divided by 6?
3
Let b(l) = 8*l**2 - 11*l - 2. Suppose -2*j = -3*h - 645, -5*j + 1052 = -2*h - 577. What is the remainder when j is divided by b(4)?
81
Suppose -2*o = -35 - 185. Suppose -133 + 14 = -17*m. What is the remainder when o is divided by m?
5
Let w be (-1632)/80 - (-2)/5. Let i(s) = -3*s - 45. What is the remainder when 40 is divided by i(w)?
10
Calculate the remainder when 9*4 - (-1 - (-40)/5) is divided by 13.
3
Suppose 0 = 9*q + 198 - 18. Let x be 2 - 0 - 1 - -2. What is the remainder when 80*(x - (-45)/q) is divided by 16?
12
Let h(d) = d**3 + 15*d**2 - 8*d - 7. Suppose 0 = b + 3, 5*b = -2*m + 2*b - 15. What is the remainder when h(-15) is divided by (-2)/m - (-255)/(-18)*-2?
26
Let p be -1 - (-6 - 652/4). Suppose 9*s = s + p. Calculate the remainder when 57 is divided by s.
15
Let f be 435/6*(24/5)/(-6). What is the remainder when 0 + (1 - -2) - (41 + f) is divided by 13?
7
Let t(k) = -2*k**3 - 11*k**2 - 24*k + 23. Calculate the remainder when 1650 is divided by t(-5).
116
Let k(h) = 4*h - 22. Let s = -35 - -41. Calculate the remainder when 24/(-10)*(-65)/26 is divided by k(s).
0
Let t = 215 + -210. Let i(s) = 3*s**3 - 12*s**2 - s + 8. What is the remainder when i(t) is divided by 17?
10
Let p be (-7)/(84/(-1196))*3. Suppose 2*b = -2*x + 122, 8*b = 5*x + 10*b - p. Calculate the remainder when 174 is divided by x.
56
Let p = -31 + 45. Suppose -y = 10*q - 651, 2*q = 2*y - 0*y + 150. What is the remainder when q is divided by p?
10
Let u(i) = -1537*i + 194. Calculate the remainder when u(-1) is divided by 28.
23
Let l = 59 - 22. Suppose 5*c = 53 + 17. Calculate the remainder when l is divided by c.
9
Suppose -2*t - 2*n + 5 + 5 = 0, 2*n = 4. Suppose t*a + 102 = 5*c, 85 = 5*c + a - 21. What is the remainder when c is divided by 6?
3
Let j be 4/10 - (-399)/15. Suppose -4*r = -m - 107, r - 133 = -4*r + m. Suppose j*p = r*p + 3. Calculate the remainder when 9 is divided by p.
0
Let o = -350 - -371. Calculate the remainder when 158 is divided by o.
11
Let f = 924 - 550. Suppose -30*y = -52*y + f. Calculate the remainder when 97 is divided by y.
12
Let u(v) = v**3 - 12*v**2 + 26*v - 47. Let i be u(11). Let z = 123 - i. Calculate the remainder when 113 is divided by z.
3
Let i(z) = -2 + 10 - 1 - 3 + 6*z. Let a(n) = 80*n**2 + 2*n. Calculate the remainder when a(-1) is divided by i(2).
14
Suppose 0 = -46*d + 859 + 1855. Let p(l) = -5*l + 57. What is the remainder when d is divided by p(9)?
11
Let u(i) = -60*