r when k is divided by p.
5
Suppose 155*k - 13478 = 15972. What is the remainder when 686 is divided by k?
116
Let k = 5133 - 1705. Calculate the remainder when k is divided by 26.
22
Suppose -3*l + 246 = 7*l + 206. Calculate the remainder when 573 is divided by l.
1
Let w(p) = -p**3 - 24*p**2 - 45*p + 74. Let c(o) = -o**3 + 25*o**2 + 53*o + 5. Let i be c(27). What is the remainder when 273 is divided by w(i)?
81
Suppose 0 = 3*x - 2*q - 55, 139*x - 138*x - q = 20. What is the remainder when 520 is divided by x?
10
Let u = -49 + 54. Suppose 5*j - 40 = -5*n, 25*n - 24*n - u = -4*j. What is the remainder when 79/3 + 17/(-51) is divided by n?
8
Let z = -148 - -148. Suppose -13 + 8 = -o. Suppose 9*f - o*f - 68 = z. What is the remainder when f is divided by 10?
7
Let n(h) = -h**2 + 19*h + 4. Let y be n(8). Suppose 0 = -y*a + 97*a - 425. Calculate the remainder when a is divided by 4.
1
Suppose -3*m + 99*y = 97*y - 1264, 5*y - 2065 = -5*m. Calculate the remainder when 852 is divided by m.
16
Suppose 0 = -37*n - 23 + 1577. Suppose n*u - 437 = 23*u. Calculate the remainder when 390 is divided by u.
22
Calculate the remainder when 1124 is divided by ((-541)/(-3))/(28/21 - (26 + -25)).
42
Let z(t) = -t**2 + 21*t + 39. Suppose 2*r + 523 = 3*i, 2*i - 4*r = -5*r + 337. What is the remainder when i is divided by z(20)?
53
Suppose -4*l - 30 + 190 = -4*p, -6*p - 209 = -5*l. Suppose 39 = 2*v - 205. What is the remainder when v is divided by l?
29
Suppose -15*l + 28 = -47. What is the remainder when (1515/25)/(1/l) is divided by 16?
15
Let i = 12347 - 12259. What is the remainder when 5190 is divided by i?
86
Let r = 1591 - 1084. Suppose -48*h + 5397 + r = 0. Calculate the remainder when h is divided by 5.
3
Suppose -2*n = -3*l - 45, n + 4*n - 116 = 4*l. Let p be ((-20)/12)/(1/(-3)) + -3. What is the remainder when (5 + 138 + -1)/p is divided by n?
23
Suppose 0 = -3*z - 2*o + 491, -4*o - 1 = -17. Let n = z - 78. What is the remainder when n is divided by 32?
19
Let z = 170 + -169. Calculate the remainder when (-4)/((z - 2 - -2)/(-1)) is divided by 1.
0
Let h(y) = -151*y - 52. Calculate the remainder when h(-4) is divided by 265.
22
Let o be -91 + (-6)/(-2)*1. Let x = o - -185. Calculate the remainder when x is divided by (-2)/9 + -404*9/(-324).
9
Let c(u) = 388*u**2 - 139*u - 266. What is the remainder when c(-2) is divided by 520?
4
Suppose -565230 = -365*h + 1514175. Calculate the remainder when h is divided by 41.
39
Let u be ((-92)/(-10))/((-6)/(-15)). Suppose -u = -2*n + 3*j, -n + 5*j + 12 + 3 = 0. Calculate the remainder when n*7 + 17 + -18 is divided by 24.
21
Let k(a) = -a**3 + 17*a + 19. Let z be k(-5). Suppose -3*t = -z + 32. Calculate the remainder when 25 is divided by t.
7
Suppose -140*g + 146*g - 78 = 0. Suppose 88*k - g = 87*k. Suppose -3*f - f + 148 = 0. Calculate the remainder when f is divided by k.
11
Suppose 4*h = -2*s, -2*s + 1 + 1 = 2*h. Let r = s + 31. Calculate the remainder when r is divided by (-4)/(2 - (-32)/(-6))*5.
3
Let y(f) = f**3 - f**2 + f + 6. Let c be (928/696)/((-1 + 3)/(-30)). Calculate the remainder when y(0) is divided by (90/c + 3)*(-2)/1.
0
Let l be ((-3281)/85)/(3/(-45)). Suppose 3*q + f - 731 = -2*q, -4*q + 5*f = -l. Calculate the remainder when q is divided by 74.
72
Suppose -592 - 1703 = -7*y - 573. Calculate the remainder when 2458 is divided by y.
244
Suppose 0 = -3*i - 5*a + 698, 18*i - 17*i - 5*a - 246 = 0. Let f = -123 + i. What is the remainder when f is divided by 19?
18
Let p(g) = -3*g**3 - 40*g**2 - 81*g + 8. Calculate the remainder when 277 is divided by p(-2).
5
Suppose 0 = -20*p + 4719 + 1201. What is the remainder when 837 is divided by p?
245
Let d be (-1 - 23/3)*(14 + -11). Let c = d + 41. Suppose c = -3*y + 78. What is the remainder when y is divided by 11?
10
Suppose -6*k + 9720 = 39*k. Let d = -110 - -212. Let o = k - d. Calculate the remainder when o is divided by 29.
27
Let v = 51 - 36. Let a = -29991 - -29994. Calculate the remainder when v is divided by a.
0
Suppose -555 = -3*v - 3*z, 5*z = -47 + 37. Calculate the remainder when v is divided by (15 + -3)/((-6)/(-8)).
11
Let j = 224 + -143. Let d(f) = -f**3 - 14*f**2 - 3*f - 21. What is the remainder when j is divided by d(-14)?
18
Suppose 5*u - 109 - 164 = -p, 0 = 4*u + p - 220. What is the remainder when 11869 is divided by u?
50
Let q(o) = o + 9. Let y be q(-4). Suppose -y*x + a + 37 = 5*a, -3*x = a - 25. Suppose 0 = -1352*g + 48002 + 56102. What is the remainder when g is divided by x?
5
Let v = -8984 + 9181. What is the remainder when 2007 is divided by v?
37
Let y(z) = 3*z**3 - 2*z - 3. Let f be y(3). Suppose -106 = -74*w + f*w. What is the remainder when w is divided by 6?
5
Suppose -1305 = -5*f - 5*b, -f - 2*b - 43 = -300. Let p = f + 159. Calculate the remainder when p is divided by 25.
24
Let n = 560 + -444. Suppose -5*u - 6*w + 4*w + 65 = 0, 3*w = 15. What is the remainder when n is divided by u?
6
Let j be 0 + -1 + -2 - -7. Let h be (-47)/(-3) + j/6*-1. Suppose 14*o - h*o + 14 = 0. What is the remainder when 95 is divided by o?
11
Let b(x) = -8*x + 3. Let s be b(-1). Suppose -4*m + 69 = -s. Suppose -26*z = 132 - 496. What is the remainder when m is divided by z?
6
Let u = 39 + -463. Let v = -294 - u. Calculate the remainder when v is divided by 34.
28
Suppose -3*o + 3*a + 162 = 0, -2*o - 414 = -3*a - 524. Calculate the remainder when 1116 is divided by o.
24
Suppose 26*y - 1578 = 7*y + 13*y. What is the remainder when y is divided by 31?
15
Let k be 5/10 - 17/2. Let h = k - -13. Suppose -3*y - q = -76, 3*y - 84 = -h*q + 2*q. What is the remainder when 45 is divided by y?
21
Calculate the remainder when 1668 is divided by (10/30 - (-256)/60)/((-1)/(-15)).
12
Let b(s) = 15*s + 5. Let w be b(3). Let u = -25 + w. Suppose 4*v = -0*v + 5*z + 176, 0 = v - 5*z - 29. What is the remainder when v is divided by u?
24
Suppose 20*f - 3*t - 8279 = 0, 0 = 3*f + 29*t - 33*t - 1217. What is the remainder when f is divided by 373?
42
Let s be 62*(18/8)/((-54)/(-36)). Suppose -2*h - h + s = 0. Calculate the remainder when h is divided by 8.
7
Let p(c) = 10*c + 73. Let s be p(18). Let d be s/(-17) + 10/(-85). What is the remainder when (d/(-18))/((-4)/120*-5) is divided by 1?
0
Calculate the remainder when 1819 is divided by (-6)/(-28) - (-7315)/1078.
6
Let d = 297 + -62. What is the remainder when d is divided by 61?
52
Let j be (81/18)/((-5)/10). Calculate the remainder when 132 is divided by (-2)/j - (7 - (-464)/(-18)).
18
Let j = -63 - -31. Suppose 5*f + 524 - 104 = 0. Calculate the remainder when (f/(-16) + -4)/((-1)/j) is divided by 12.
4
Let b(r) = 156*r - 8942. Calculate the remainder when b(64) is divided by 205.
17
Suppose 21*x + 8*x + 418 = 40*x. What is the remainder when 1442 is divided by x?
36
Suppose -27914 = -431*i + 414*i. Calculate the remainder when i is divided by 137.
135
Let k(r) = -r**3 + 6*r**2 - 5*r + 2. Let z be (14/21)/((-3)/54). Calculate the remainder when (-12)/10*(-30)/z - -29 is divided by k(4).
12
Let d(p) = -15*p + 623. What is the remainder when d(12) is divided by 116?
95
Let y = -63 + 43. Let r = y - -22. Calculate the remainder when 23 is divided by r/9 + (-704)/(-72).
3
Let y(x) = 2*x + 6. Let q = -7 - -19. What is the remainder when y(q) is divided by (-1 + -23)/(-2) - 3?
3
Let b = 13292 - 12901. Calculate the remainder when b is divided by 7.
6
Let m = -161 + 133. Let u(r) = r**2 + 25*r - 66. Calculate the remainder when 340 is divided by u(m).
16
Let y(c) = -117*c**2 + c + 1. Let k be y(-1). Let s = -45 - k. Suppose 0 = 4*t - 3*m - 57 - 31, -4*t + s = m. Calculate the remainder when t is divided by 6.
1
Let j(h) = -7*h + 3. Let k be j(0). Suppose -k*b - 3*f = -513, b - 2*f = 3*f + 201. Calculate the remainder when b is divided by 59.
58
Suppose -4*w + 85 = 89, -74 = -a + 3*w. What is the remainder when 106 is divided by a?
35
Let y = -68585 - -99233. What is the remainder when y is divided by 79?
75
Suppose 12*u = 9*u - 231. Let f = 84 + u. Calculate the remainder when 27 is divided by f.
6
Suppose -10*b + 602 + 2348 = 0. What is the remainder when b is divided by 101?
93
Let q = 10757 + -1364. What is the remainder when q is divided by 77?
76
Suppose 136 = 5*o + 4*p - 55, -2*o = -2*p - 80. Let z = o - 33. 