he remainder when 38 is divided by p.
6
Let q = 31 - 286. Let l = 273 + q. What is the remainder when 70 is divided by l?
16
Suppose -2*v = 5*a - 621, -2*v - 3*a + 658 = 47. Suppose u + v - 315 = 0. What is the remainder when u is divided by 13?
4
Let r(w) = -w**3 - 2*w**2 + 32*w - 1. Let v be r(5). Let n(c) = -c + 14. Calculate the remainder when n(v) is divided by 8.
6
Calculate the remainder when (-7 - -72)*1484/35 is divided by 5.
1
Calculate the remainder when 766 is divided by 22/66*((-2574)/(-27) + (-4)/(-6)).
30
Suppose 534 + 82 = 7*s. Calculate the remainder when 256 is divided by s.
80
What is the remainder when 7*7 - 2 - (-4 - -1) is divided by (-19*2)/(-4 + (-3 - -5))?
12
Let t(x) = -x**3 - 5*x**2 - 7*x + 41. What is the remainder when 9041 is divided by t(-5)?
73
Suppose -3043*n - 67968 = -3059*n. Calculate the remainder when n is divided by 60.
48
Let t = -85 - -92. Let z be t/(-2)*-1*(5 - 3). Calculate the remainder when 16 is divided by 6/((-6)/z)*-1.
2
Suppose -2*a - 8 = 0, -i + 3*i - 24 = 4*a. Suppose -u - 2*z + 3 = i, 4*z = -3*u + 3. What is the remainder when 21 is divided by u?
1
Suppose -3*i - 6346 = -5*r, -15*r + 13*r + 2532 = 2*i. What is the remainder when r is divided by 31?
28
Suppose f - 4*d + 0 = 12, -4*f = -d - 123. Suppose g + 103 = 4*y - 354, -y = -4*g - 73. Calculate the remainder when y is divided by f.
21
Calculate the remainder when 443 is divided by (-7 + 336/64)/(2/(-8)).
2
Let n(z) = -z**3 + 6*z**2 + 21*z + 1. Let g be n(-3). Let v = 62 - g. What is the remainder when v is divided by (3 - 0)*(1 + 4)?
13
Let u(m) = 3*m**2 - 8*m - 1780. What is the remainder when u(32) is divided by 118?
92
Let l = -433 - -1054. Calculate the remainder when l is divided by 24.
21
Let x = -39585 - -45385. Calculate the remainder when x is divided by 2899.
2
Let c(i) = -3*i**3 + 168*i**2 - i + 244. What is the remainder when c(56) is divided by 26?
6
Let a be 1/4 - (0 - (-550)/(-40)). Suppose -2*d + u = -a - 9, -d - 5*u = 5. Calculate the remainder when (-3 - 0)*37/(-3) is divided by d.
7
Suppose -1104 = 4*q - 4*z, 276 = -q - 0*q - z. Let o = q - -340. What is the remainder when o is divided by 17?
13
Suppose -2*m + 228 = -4*t + 296, 4*t + 5*m - 26 = 0. Suppose -3*z + 9 + 32 = -4*y, -4*z - y + 23 = 0. Calculate the remainder when t is divided by z.
0
Let n(z) = -34*z + 7*z - 64 + 4*z. Suppose -4*p - 6*c = -4*c + 26, p - 11 = -4*c. Calculate the remainder when n(p) is divided by 12.
11
Let g(z) = 63*z - 358. Suppose 0 = -22*n - 79 + 211. Let u = 79 - 34. What is the remainder when u is divided by g(n)?
5
Suppose 2*v - 5*v = 4*o + 14, -3*v = -2*o + 2. Let p = -92 + 65. Let a = v - p. What is the remainder when 71 is divided by a?
21
Suppose -4*f = -17*f + 40 + 1585. Calculate the remainder when 2998 is divided by f.
123
Let t(p) = 9*p**3 + 1070*p**2 - 121*p - 8. What is the remainder when 721 is divided by t(-119)?
31
Let v be ((-4)/1 - 2)/((-2)/27). Suppose -v - 63 = -4*r. Suppose -2*m = 8, -m = 4*c + c - r. What is the remainder when 37 is divided by c?
5
Suppose 12*o + n = 10*o + 1979, o - 993 = -4*n. What is the remainder when o is divided by 71?
66
Let k(y) = -y**3 + y**2 + 33*y - 15. Let p be k(6). Suppose r - 2*s - 14 = 0, -5*s + 5 = -p*r + 42. What is the remainder when 47 is divided by r?
3
Suppose 56*m - 61*m = -3*w - 376, 0 = -3*m - 5*w + 212. What is the remainder when m is divided by 16?
10
Let x(j) = -j**2 - 14*j + 5. Let b be (-896)/(-6) + 1*8/12. Let z = 143 - b. What is the remainder when x(z) is divided by 7?
5
Let m = 260 + -257. Suppose -3*t = h - 43, m*h + 31 = 15*t - 14*t. What is the remainder when t is divided by -1 + 2 + 4 + -2?
1
Calculate the remainder when 417 is divided by ((-1167372)/315)/(-36) - 8/(-140).
5
Suppose 0 = 9*p - 13*p - 2*j + 7586, -4*j - 3818 = -2*p. Calculate the remainder when p is divided by 100.
99
Let m(v) = 7*v**2 - 11*v + 14. Let u be m(8). Suppose -5*s + u = 4*c, 3*c + 3*s - 282 = -0*c. What is the remainder when c is divided by 17?
11
Let r = -1970 + 2047. What is the remainder when r is divided by 28?
21
What is the remainder when 34559 is divided by (-3)/(-15) - (8091/(-90))/((-6)/(-12))?
179
Let j = -153 - -162. Suppose -385 = 4*y - 15*y. Calculate the remainder when y is divided by j.
8
Let j(d) = -d**3 + 9*d**2 - 9*d + 11. Let n be j(8). Suppose n*r = 8*r - 265. Suppose -2694 = -13*a - 2512. What is the remainder when r is divided by a?
11
Suppose 3*p + 83*l - 4912 = 78*l, -12 = 3*l. What is the remainder when p is divided by 55?
49
Let o = 30 - 27. Suppose -4*n + 5*b = -48, 6*n - 56 = 2*n + o*b. Calculate the remainder when 303 is divided by n.
14
Let h(s) = 7*s - 383. Calculate the remainder when h(110) is divided by 117.
36
Let f(v) = 15*v**2 - 8*v - 13. Suppose -20 + 28 = x. What is the remainder when f(-3) is divided by (-118)/(-3) + x/6*-1?
32
Let u(z) = 2*z**2 + z - 3. Let l be u(-2). Let r(b) = -l*b - b + 27 - 2*b + 2*b. Calculate the remainder when r(6) is divided by 2.
1
What is the remainder when 104 is divided by (-3 + (8/12)/(-2))/(22/(-99))?
14
Suppose 0 = 29*v - 307 - 1085. Suppose -3*d = -5 - 4. Suppose a - d = v. Calculate the remainder when a is divided by 18.
15
Let o(j) = 23*j + 908. Calculate the remainder when 393 is divided by o(-34).
15
Let y(d) = 8*d + 1. What is the remainder when (-3 + 648/40)/(224/35 - 6) is divided by y(2)?
16
Suppose 39771 + 9139 = 365*g. Calculate the remainder when 423 is divided by g.
21
Let k(x) = -9*x**2 + 3*x + 30. Let h be k(-5). Let z = h + 229. Calculate the remainder when 70 is divided by z.
13
Let d = -13796 - -13855. What is the remainder when d is divided by 6?
5
Let q be -5*(-2 - -3)*-25. Suppose 2*n + 15 - 2 = g, -q = -5*g - 2*n. Let t(f) = f**3 - 7*f**2 + 21*f - 42. What is the remainder when g is divided by t(5)?
10
Let p(d) = d**3 - 18*d**2 + 15*d - 55. What is the remainder when p(18) is divided by 55?
50
Suppose 36*g + 180 = 45*g. Suppose -226 = -10*x + 274. Calculate the remainder when x is divided by g.
10
Let i(t) = t**3 - 5*t**2 - 12*t + 9. Let y(f) = f + 13. Let m be y(-6). Calculate the remainder when 87 is divided by i(m).
18
Suppose 3*j - 104 = 61. Let p(d) = -7*d - 5 + 16*d**2 + 3*d - 13*d**2. Calculate the remainder when j is divided by p(-2).
10
Suppose 37*o = 26*o - 2*f + 35800, -2*f + 13022 = 4*o. Calculate the remainder when o is divided by 105.
104
Let h = -4115 - -4233. What is the remainder when 1175 is divided by h?
113
Let j be 44/8 + (-2)/4 + -199. Let u = j - -279. What is the remainder when u is divided by 45?
40
What is the remainder when 43277/(-169)*(-10 - 3) is divided by 139?
132
Suppose 5*o - 4538 + 1225 = w, -1964 = -3*o + 4*w. What is the remainder when 1998 is divided by o?
6
Suppose 63*l - 2*l = 22753. Calculate the remainder when l is divided by 108.
49
Calculate the remainder when (321 + -6 + 12)*(13 - 12) is divided by 3.
0
Let y = 251 - 219. Suppose 3*q + 4*j - 2 = y, 0 = 4*q + 5*j - 46. Calculate the remainder when 63 is divided by q.
7
Suppose -4*b + 69 = i - 6*i, -3*b + 3*i + 51 = 0. Let l be -4 + -1 + 0 - 4. What is the remainder when 3/((l/29)/(-3)) is divided by b?
13
Suppose 4*y - 128 = -2*z, -4*z + 228 = -0*z + y. Let u = -25 + z. Calculate the remainder when 149 is divided by u.
25
Let l = -6608 + 6768. Calculate the remainder when 1279 is divided by l.
159
Suppose 5*d - 49 = 2*c, -26 = -4*d - 2*c + 6. Suppose d*l - 8 = 5*l. Suppose 3*v - 148 = -4*x, l*v + 2 + 6 = 0. Calculate the remainder when x is divided by 14.
12
Let l = 8283 + -7232. What is the remainder when l is divided by 31?
28
Suppose 0 = -3*p + 261 + 81. Calculate the remainder when p is divided by 9*1 - (12 + -14 - 14).
14
Let b(s) = -s**3 + 13*s**2 + 6*s + 26. Calculate the remainder when b(6) is divided by 32.
26
Let l(b) = b**3 - 72*b**2 + 332*b + 250. What is the remainder when (12 - 2)*(-28)/(-5) is divided by l(67)?
7
Let x(d) = 14 - 2 + 10 + 3*d - 2*d - 2*d. Calculate the remainder when x(5) is divided by 15.
2
Suppose -10481 = -71*c - 1890. What is the remainder when c is divided by 28?
9
Suppose 4*o = -5*k + 8, 2*k + k - 4*o = 24. Suppose 5*j - j + 160 = 4*n, -k*n - 120 = 3*j. Let p = j - -55. Calculate the remainder when 57 is divided by p.
12
Suppose -5*r - 537 = -4*s, 81 = 2*s - r