 8283 = 3*y - k - 19240, 5*y = -3*k + 45839. What is the remainder when y is divided by 148?
144
Let x = -391 + 425. Suppose 0 = 33*n - 494 - x. What is the remainder when n is divided by 9?
7
Let n(z) = -z**3 + 4*z**2. Let t be n(4). Suppose 28 + t = 4*g. Suppose 12*f + 1473 - 1677 = 0. Calculate the remainder when f is divided by g.
3
Suppose 20*h = -4*h + 5328. Suppose -3*a + 9*a = h. What is the remainder when a is divided by 8?
5
Suppose 2*u - 4*q - 24 - 64 = 0, 3*q = 4*u - 196. Let z = 57 - u. Suppose 2*k + 7 = 1, 0 = -2*g - z*k + 289. Calculate the remainder when g is divided by 39.
35
Let s = 99 - 58. What is the remainder when s is divided by 2/8 + -273*(-8)/96?
18
Let b be (-28)/(-3)*81/108. Suppose 2*i = 8, 0 = -b*c + 6*c - 3*i + 30. What is the remainder when 195 is divided by c?
15
Suppose -2*j + 45 = a, a = -3*j + 17 + 52. Suppose -2*r - 2*l - 50 = -212, 4*l + 56 = r. What is the remainder when r is divided by j?
4
What is the remainder when 304 is divided by 1*22*(-12 - -14)?
40
Suppose -2*a = -5*d + 2649, 3*d = d + 15*a + 1088. Calculate the remainder when d is divided by 515.
14
Let d be (-2)/(-13) + 623/91. Suppose -c + d = 4. Suppose -c*o - 5*i = -373, 4*i - 196 = -3*o + 172. What is the remainder when o is divided by 39?
38
Let v(z) = -z**2 - 10*z - 11. Let x = -30 - -22. Suppose -3*r = -5*g + 102, g - 19 = -4*r + 6*r. What is the remainder when g is divided by v(x)?
1
Let j(b) = 6*b**2 + 423*b + 2870. Calculate the remainder when 289 is divided by j(-7).
86
Let r = 129 + -105. Let x(k) = k**3 - 18*k**2 - 20*k - 14. Let s be x(19). Let t = -24 - s. Calculate the remainder when r is divided by t.
6
Let a be (-932)/(-4) - (-18 + 14). Let d = a + -230. What is the remainder when 41 is divided by d?
6
Let f be (21/((-126)/(-132)))/2. Suppose f*m - m - 890 = 0. What is the remainder when 266 is divided by m?
88
Suppose -3*j = -2*r + 602, 0 = 34*r - 37*r + 4*j + 903. Calculate the remainder when r is divided by 130.
41
Suppose 81*c = 86*c + 3*o - 3, 3*c + o - 9 = 0. Let h(b) = 31*b. Calculate the remainder when h(2) is divided by c.
2
Let a = -391 - 478. Let f = -836 - a. What is the remainder when f is divided by 6?
3
Let i = -12213 + 12264. What is the remainder when 515 is divided by i?
5
Suppose 32 - 749 = -20*x + 123. What is the remainder when 123 is divided by x?
39
Let r(y) = y**3 - 13*y**2 - 2*y + 28. Let s be r(13). Suppose -s = -a + 4*o, 3*a = 4*o - 3*o + 6. Calculate the remainder when 4 + 2 + -3 + 3 is divided by a.
0
Suppose 0 = 4*d - 3*a - 1127, -5*d = -d - 4*a - 1124. Let s = d + -227. Calculate the remainder when 165 is divided by s.
51
What is the remainder when (-2)/9 + (-33064)/(-153) + (-20)/(-170) is divided by 210?
6
What is the remainder when 131 is divided by ((-624)/(-80))/39 + (464/5 - -1)?
37
Let h(j) = -j**3 + 8*j**2 - 18*j + 3. Let a be h(4). Let c(y) = 3*y**2 + 29*y + 110. Calculate the remainder when c(a) is divided by 4.
0
Let x(v) = v**2 - 22*v + 40. Let z be x(16). Calculate the remainder when 34 is divided by z/(-10) + 1 + (-9)/15.
4
Let u be 3 + -8 + 1 - (-7 - 2). Suppose 4*w + u*b = -27, 4*w + 5 = 2*b - 1. What is the remainder when (-38)/(-3)*(0 - w/2) is divided by 7?
5
Let g(c) be the first derivative of 5*c**3/3 - c**2/2 + 3*c - 13. Suppose 7*x - 10 = 2*x. Calculate the remainder when 104 is divided by g(x).
20
Let a = 334 - 339. What is the remainder when (-5 - -4) + 78 + a is divided by 38?
34
Let c(k) = -8*k**3 + 133*k**2 + 265*k + 1. What is the remainder when 270 is divided by c(-2)?
2
Suppose 2*z + 8541 = 119*z. Calculate the remainder when 240 is divided by z.
21
Let t be 2 + 1 + (-1)/1. Suppose -t*s = -16 + 40. Calculate the remainder when 72 is divided by (-20 + 1)*(s + 11).
15
Let u(g) = -98*g**3 + g + 1. Let x(d) = -d - 4. Let p be x(-3). Let y be u(p). Suppose 2*o = -0*o + y. What is the remainder when o is divided by 13?
10
Suppose t - 308 = -4*x, 6*x + 5*t = 5*x + 96. Calculate the remainder when 159 + (-30 - -1) + 21 is divided by x.
75
Suppose 0 = 4*r - 5*a - 175, 4*r - 185 = -a + 4*a. Suppose -17*t + 13*t = -13*t + 36. Calculate the remainder when r is divided by t.
2
Let d(g) = -g**3 + 17*g**2 - 19*g + 20. Let m be d(16). Let y(j) = -j**3 - 27*j**2 + 28*j + 43. Calculate the remainder when 79 is divided by y(m).
36
Suppose -40 = -5*k + 5. Let o(r) = r**2 - 15*r + 68. Let l be o(9). Suppose -7 - 35 = -l*b. Calculate the remainder when k is divided by b.
0
Let h be (244 + 2)/(-6 - -4). Let l = h - -144. Calculate the remainder when l is divided by 6.
3
Suppose -a = 606 - 632. Calculate the remainder when 994 is divided by a.
6
Let y(w) = -5*w**2 + 71*w - 77. What is the remainder when 460 is divided by y(9)?
146
Suppose -35 = -6*w + w. Suppose -14 = w*j + 56. Let a = j + 41. What is the remainder when a is divided by 16?
15
Let b = 23 + -15. Suppose -x + 34 = -5*q, 3*x + 118 = b*x + q. What is the remainder when 79 is divided by x?
7
Let j be ((-6)/(-10) - 42/70)/(-2). Calculate the remainder when (4 - j)*29*1 is divided by 15.
11
Let y = 7 - 4. Suppose y + 1 = k + 4*i, 4*i = 3*k + 4. Suppose 3*m - 48 = -k*m + 3*t, 2*t + 86 = 5*m. Calculate the remainder when m is divided by 10.
8
Suppose 0 = 113*r - 79*r - 3570. What is the remainder when r is divided by 32?
9
Let i(o) = -7*o + 125. Calculate the remainder when 280 is divided by i(13).
8
Suppose 54 = 7*f - 10*f. Let l = 44 + -4. Let t = l + f. Calculate the remainder when t is divided by 12.
10
Let q(n) = 11*n**2 + 454*n + 160. What is the remainder when q(-47) is divided by 49?
34
Suppose -403 + 123 = 14*u. Let m = u - -208. Calculate the remainder when m is divided by 66.
56
Suppose -g = -3*a + 8*a - 15, 0 = -3*g. Let x = 31 - a. Calculate the remainder when 96 is divided by x.
12
Let j(p) = p**2 + 8*p + 15. Let w be j(-2). Calculate the remainder when w/2*(-74)/(-3) is divided by 13.
11
Let k(q) = -3*q**3 - 8*q**2 + 5*q - 11. Calculate the remainder when k(-6) is divided by 199.
120
Suppose -3 = 17*l - 54. Suppose i - 6*f = -2*f + 296, 0 = -l*f. What is the remainder when i is divided by 23?
20
Let h(y) = y + 4. Let o(q) = 2*q**2 - 53*q + 248. What is the remainder when o(5) is divided by h(5)?
6
Let w(g) = -139*g**3 + 11*g**2 + 25*g + 30. What is the remainder when w(-3) is divided by 56?
55
Suppose 0 = -4*g - 3*o + 41, 0 = -4*g + o + 3*o + 20. Suppose -2*l + 52 - g = 0. Calculate the remainder when l is divided by (-203)/(-28) - 6/(-8).
6
Let d = 7713 + -5736. What is the remainder when d is divided by 22?
19
Let c = 5351 - 4478. What is the remainder when c is divided by 110?
103
Let f(n) = 48*n**2 - 306*n + 31. Calculate the remainder when f(7) is divided by 25.
16
Let s be 1/(-1) + (8 - (-3 - 28)). Suppose r + s = v, -8*v + 3*r = -4*v - 151. Calculate the remainder when v is divided by 20.
17
Let k = -91 - -137. Let i = 16351 + -16215. What is the remainder when i is divided by k?
44
Let j = 4112 - 3245. Calculate the remainder when j is divided by 117.
48
Suppose 50*r - 1423 - 2625 - 4402 = 0. Calculate the remainder when 384 is divided by r.
46
Suppose 6*r - 16*r = 2200. Let g = 249 + r. What is the remainder when g is divided by 13?
3
Let n = 1277 + -12064. What is the remainder when (-12)/(756/n) + 2/(-9) is divided by 43?
42
Let m(r) = r**3 - 5*r**2 - 9*r + 9. Let x be m(7). Suppose -2*k + x + 200 = 0. Calculate the remainder when k is divided by 42.
38
Suppose 219*u - 106 = 217*u. What is the remainder when 578 is divided by u?
48
Let p = -848 + 1522. Let a = 954 - p. Suppose 5*y + 2*w = a, 63 = -0*y + y - w. Calculate the remainder when y is divided by 15.
13
Let k(p) = -3*p**2 + 63*p + 45. Let a(o) = -o**2 + 21*o + 15. Let l(h) = -8*a(h) + 3*k(h). What is the remainder when l(18) is divided by 12?
9
Let o be (-12)/10*265/159. Let u = -5 + -31. Let c = o - u. What is the remainder when c is divided by 18?
16
Suppose 0 = -0*t + 4*t + 4. Suppose -y - 12*r + 43 = -10*r, 0 = 5*y + 3*r - 215. Calculate the remainder when -8*(18 - -3)*t is divided by y.
39
Calculate the remainder when 3208*((-315)/(-6))/(-15)*(-1)/14 is divided by 74.
62
Suppose -21*p - 24*p + 78*p = 1947. Calculate the remainder when p is divided by 51.
8
Let n(g) = 20*g**2 - 21*g - 808. What is the remainder when n(-18) is divided by 47?
3