ed by 62.
27
Let r = 115 + 160. Let y = -263 + r. Suppose -2*k + 5*q = -30, k + 3*k + q = 16. What is the remainder when y is divided by k?
2
Suppose 8*o + 32*o - 165 = 715. What is the remainder when 10416 is divided by o?
10
Let n = -32 + -24. Let a = n + 133. Let i = 33 + -13. Calculate the remainder when a is divided by i.
17
Let w = 9 + -5. Let d(j) = j - 16. Let s be d(32). Suppose -s = w*c, -2*c + 104 = 5*g - 258. Calculate the remainder when g is divided by 19.
17
Let y = -6360 - -14297. Calculate the remainder when y is divided by 54.
53
What is the remainder when (-4)/14 + (-4)/(-112) + (-965701)/(-1012) is divided by 31?
24
Let v(t) = -46*t + 35. Let h be v(5). Let x = 283 + h. Calculate the remainder when x is divided by 32.
24
Let n = -46558 - -46962. What is the remainder when n is divided by 328?
76
Let o(u) = 7*u**3 - 6*u**2 + 31*u - 67. Calculate the remainder when o(7) is divided by 1128.
1
Suppose -479 = -808*s + 827*s - 1201. Let u(d) = 2*d**2 + 3*d + 6. What is the remainder when s is divided by u(-4)?
12
Suppose -14*q + 141 = 33*q. Suppose 8*p - q*p = -2*x + 115, 0 = -p - 3*x + 36. Suppose -3*j - 20 = -8*j. What is the remainder when p is divided by j?
1
Let t(n) = n**3 - 5*n**2 + 9*n - 9. Let j be t(3). Calculate the remainder when -2 + j + (-3 - -97) is divided by 19.
16
Suppose -27*n - 23*n + 14827 + 873 = 0. Calculate the remainder when 1896 is divided by n.
12
Suppose 5*l - 830 = 5*s - 295, l - 2*s - 108 = 0. Calculate the remainder when 1463 is divided by l.
85
Suppose -21*q + 38714 = -1627. What is the remainder when q is divided by 216?
193
Suppose -3*z = -3*j - 16269, -65*z + j = -66*z + 5417. What is the remainder when z is divided by 97?
85
Let j(v) = 33*v**2 + 480*v + 70. What is the remainder when 597 is divided by j(-15)?
7
Let t(y) = 52*y - 1328. Let p(w) = -w**2 - 3*w + 3. Let m be p(-3). Suppose 0 = m*r + 2*r - 25. Calculate the remainder when t(26) is divided by r.
4
Let f(m) = -32*m + 226. Let b be f(7). Suppose -b*p - 797 - 51 = -4*n, -5*n + 1090 = 5*p. What is the remainder when n is divided by 51?
10
Let k(u) = -u**3 + 10*u**2 + 9*u + 6. Let w be k(8). Suppose 2*d - 256 = -w. Calculate the remainder when d is divided by 22.
3
Let q(x) = x**3 + 9*x**2 + 6*x + 8. Let t be q(-6). Let b be 2/(-15) - (-1761)/45. Let c = t - b. What is the remainder when 120 is divided by c?
38
Let l = -249 + 68. Let w = -123 - l. Let k = w + -52. Calculate the remainder when 35 is divided by k.
5
Let g(h) = 3*h**2 + 3*h + 12. Let p be g(4). Suppose 484 + p = 4*z. Let m = -92 + z. What is the remainder when m is divided by 12?
11
Suppose 0*r - 18 = -2*r. Calculate the remainder when r is divided by ((902/(-66) - -12) + -1)*6/(-4).
1
Suppose 3*y - d = -4*d + 705, y - 227 = -5*d. Let q = -87 - -59. Let a = q + y. Calculate the remainder when a is divided by 42.
41
Let y(t) = t**3 + 2*t**2 - 22*t + 10. Let z be y(-6). Calculate the remainder when z/2 + 3 + 680/4 is divided by 6.
4
Let w(j) be the first derivative of j**4/4 - 7*j**3 + 46*j + 225. Calculate the remainder when 274 is divided by w(21).
44
Let h(k) = -k**2 - 473*k + 13028. What is the remainder when h(26) is divided by (8/(-5))/(2/(-25))?
14
What is the remainder when 229 is divided by (1062/99)/(6/66)?
111
Let m(k) = 6*k + 18*k - 12*k - 11 + 11*k**2 - k**3. Let v be m(12). Let s(f) = f**3 + 12*f**2 + 9*f - 3. What is the remainder when s(v) is divided by 6?
1
Calculate the remainder when 1193 is divided by ((-6)/5)/(162/(-243) + (-7)/(-15)).
5
Let z be 3 + 21/6*(-20)/35. What is the remainder when (3 - -2) + 47*z is divided by 11?
8
What is the remainder when 360 is divided by (-62)/6*(-831)/554*(3 - 1)?
19
Suppose 4*k + 4*k = -19*k + 378. What is the remainder when 133 is divided by k?
7
Let l = 4552 + -4460. What is the remainder when 1085 is divided by l?
73
Let j be (2 + 0)*4/(-8). Let n(s) = 7*s - 5. Let h be n(j). Let z(u) = -u**2 - 19*u - 30. What is the remainder when z(h) is divided by 15?
9
Suppose -4*z + 28 = -0. Suppose 39 = -z*y - 3. Calculate the remainder when 53 is divided by ((-56)/y)/((-6)/(-9)).
11
Let y(t) = 34*t - 542. What is the remainder when 412 is divided by y(16)?
0
Let j(w) = -w + 8. Suppose -6*y + 388 = 34. What is the remainder when y is divided by j(-7)?
14
Suppose 3 + 0 = q. Let s be 3 + (-2 - -3) + q. Suppose 0*b = b - 3*c + s, 0 = -3*b + 3*c + 9. Calculate the remainder when 28 is divided by b.
4
Let i(u) = u**3 + 11*u**2 + 16*u - 14. Let m be i(-9). Suppose 0 = -m*f + 4*s + 756, -2*s + s = 2*f - 369. What is the remainder when f is divided by 47?
45
Suppose 373 = 4*m - 3*d, 2*m - 13*d = -15*d + 176. Calculate the remainder when 1722 is divided by m.
84
Let o be (20*-6)/(-6) + (-3 - -6). Suppose -2*x + 2*s + 340 = 0, 3*s = -28*x + o*x + 818. Calculate the remainder when x is divided by 32.
6
Suppose 0 = 15*w - 2*w - 1352. Suppose -w*t = -100*t - 368. What is the remainder when t is divided by 48?
44
Let w(h) = 3*h - 25 + 4 - 12*h + h. Suppose 0 = -s - 2*r - 24, 0 = s - 0*s - 2*r + 12. What is the remainder when w(s) is divided by 31?
30
Suppose -s - 15 + 19 = 0. Suppose 3*t - 3*n = -t + 237, 0 = -s*n + 4. Calculate the remainder when t is divided by 13.
8
Let b = -2465 + 2731. Calculate the remainder when b is divided by 35.
21
Let a = -1 - -4. Suppose -k + 68 = 4*y - 3*k, 0 = -3*y - a*k + 60. Let t(x) = -x**3 + 68*x**2 - 1122*x + 94. Calculate the remainder when y is divided by t(40).
4
Let y = 15 - 12. Let i be 6/((2 - 4) + y). Suppose 28 = i*t - 4*t. Calculate the remainder when t is divided by 5.
4
Suppose -6942 = -22*s - 17*s. Let d = s + -67. Calculate the remainder when d is divided by 38.
35
What is the remainder when (-111706)/(-606) - 8/6 is divided by 24?
15
Let y = -51 + 74. Suppose 0 = -2*o + 3 + y. Suppose -l = -15 + 7. Calculate the remainder when o is divided by l.
5
Suppose -5674 - 36530 = -20*g - 6144. What is the remainder when g is divided by 164?
163
Suppose 7*y + 2*q = 2*y + 5, 3*y - 29 = 4*q. Suppose 5*g = -y + 8, -3*u = -g - 32. What is the remainder when 39 is divided by u?
6
What is the remainder when 446 is divided by 62 - (135/15 + -11)?
62
Suppose 2808*a + 3915 = 2953*a. Let o = 342 + -103. Calculate the remainder when o is divided by a.
23
Suppose 45*h = 6*h - 21243 + 257973. What is the remainder when h is divided by 132?
130
Suppose 5*y - 83 - 192 = 5*t, 2*t = 3*y - 166. What is the remainder when y is divided by (-3 + 22/6)*(-40)/24*-27?
26
Let g = -15425 + 21456. What is the remainder when g is divided by 8?
7
Suppose -362236 = -125*z + 91*z. Calculate the remainder when z is divided by 48.
46
Let w(l) = l**2 + 13*l + 11. Let k be -4*2/(-4)*84/8. Suppose k + 19 = 2*m. What is the remainder when w(-17) is divided by m?
19
Let v = -442 + 406. Calculate the remainder when 154 is divided by 1*2 + -4*369/v.
25
Suppose 0 = -14*w + 4*w + 70. Suppose 42 = -74*d + 77*d. What is the remainder when (400/35)/(4/d) is divided by w?
5
What is the remainder when 269 is divided by (13 + 115/2)*(-8)/(-6)?
81
Calculate the remainder when ((-970)/1)/((-3 + 10)/(-14)) is divided by 67.
64
Let k(x) = 8*x**2 + 4*x. Suppose -3*b = 2*q - q + 1, b = -4*q + 51. Suppose q*i = 29*i - 2130. What is the remainder when i is divided by k(-2)?
22
Let p(b) = -4*b + 9. Let i(u) = -6*u - 56. Let f be i(-7). What is the remainder when p(f) is divided by 17?
14
Let t = 1 - -4. Suppose -763*k + 809*k = 0. Suppose -5*j - 3*y - y + 236 = k, -244 = -t*j + 4*y. Calculate the remainder when j is divided by 13.
9
Suppose 0 = 28*w - 7932 - 17492. Calculate the remainder when w is divided by 66.
50
Suppose 2*p = 637 - 183. Calculate the remainder when p is divided by (-8*4/20)/(32/(-120)).
5
Let q = 12 + -22. What is the remainder when q/4*(-12)/10 is divided by 1?
0
Suppose -4*w = -3*n - 1259, 1251 = -w + 5*w + 5*n. What is the remainder when w is divided by 64?
58
Suppose 708 = 29*b - 1612. Calculate the remainder when 1135 is divided by b.
15
Suppose -k = 2*k - 54. Let n(w) = -10*w. Let q(i) = -10*i + 3. Let z(x) = 6*n(x) - 7*q(x). Calculate the remainder when z(9) is divided by k.
15
Let q(n) = n**3 + 27*n**2 - 30*n - 34. Suppose 78 = -3*v - 3*h, -h = -5*h + 8. Suppose -40 = 3*d - 559. Calculate the remainder when d is divided by q(v