5
Suppose 0 = c + 102 - 104. Suppose -c*t + 2*d + 99 = 3*t, 4*t - 82 = 3*d. Calculate the remainder when 244 is divided by t.
16
Let j = -172 + 174. Suppose p + 0*t - 123 = 4*t, p - j*t - 115 = 0. Calculate the remainder when p is divided by (18/8)/((-2)/(-24)).
26
Suppose 2*u - 89*z - 2820 = -92*z, 7029 = 5*u + 4*z. Calculate the remainder when u is divided by 37.
32
Let x(a) = -a**2 - 23*a - 14 - 5 - 31 + 7. Calculate the remainder when 263 is divided by x(-19).
32
What is the remainder when ((-46)/(-483) - (-92667)/63)*1 is divided by 294?
1
Let j be (2 - 1)/(-4 + (-41)/(-10)). Suppose -j = -7*o + 81. Suppose 2*g - a = o, 3*g - 5*a = -2*g + 45. What is the remainder when 5 is divided by g?
1
Let v = 196 + -191. Suppose -v = 17*x - 56. What is the remainder when 7 is divided by x?
1
Suppose 32*y + 72 = 1128. What is the remainder when 78 is divided by y?
12
What is the remainder when (-15 + 4400)*-2*(-12)/40 is divided by 239?
2
What is the remainder when 535 is divided by 6*(-50)/(-180)*9*(-12)/(-15)?
7
Let k be 4/(-22) + (-35)/(-11). Let c(n) = -n**3 - 63*n**2 - 125*n - 166. What is the remainder when ((-102)/k + 1)/(-1) is divided by c(-61)?
16
What is the remainder when 84 is divided by ((-160)/6 - 12/36)/((-36)/48)?
12
Suppose -5*q + 3*c = -143, 0 = 83*q - 86*q + 20*c + 195. What is the remainder when 768 is divided by q?
18
Let m = -117 - -122. Suppose t - 16 = 4*d - d, m*d = -3*t - 22. Suppose -7 = -o - j - j, -3*o = -j. What is the remainder when t is divided by o?
0
Suppose -46 - 14 = -5*z. Let l(s) be the first derivative of -s**2/2 - 15*s + 27. What is the remainder when z is divided by l(-17)?
0
Let o = 1616 + -1426. Calculate the remainder when 1544 is divided by o.
24
Let d = 1360 + -840. What is the remainder when d is divided by 259?
2
Suppose 89*v - 88883 = -14479. What is the remainder when v is divided by 171?
152
Let i(s) = -9*s + 27. Let o be i(-3). Suppose 6 = -4*d + o. Suppose -4*r + 171 = -r. Calculate the remainder when r is divided by d.
9
Suppose -3*h = -6 - 6. Suppose 5*q - 5 = -3*i + 1, 0 = h*i - 3*q - 37. What is the remainder when 32/240 + 1 + (-489)/(-45) is divided by i?
5
Suppose 120763 = 16*c + 120011. What is the remainder when 36235 is divided by c?
45
What is the remainder when 2443 is divided by ((-1026)/63)/19*(-336)/9?
11
Let a be 1*(24 + -4)/4. Suppose 0 = -4*t - a*f + 79, 92 = 5*t + 7*f - 3*f. What is the remainder when 56 is divided by t?
8
Let x(y) = -3*y**3 - 15*y**2 - 49*y - 7. What is the remainder when x(-5) is divided by 73?
19
Let m(a) = -23*a - 815. Calculate the remainder when 403 is divided by m(-38).
49
Suppose -19 = 7*t - 82. Suppose 7 = 4*m - 73. What is the remainder when (-105)/(-6)*24/m is divided by t?
3
Let q be -98*(27/6)/(-9). Let k be 179 + ((-6)/6 - 1). Let p = k - q. What is the remainder when p is divided by 43?
42
Let g(v) = v**2 + 11*v + 7. Let z(j) = 7*j + 35. Let a be z(-5). Calculate the remainder when 9 is divided by g(a).
2
Let o = 6702 - 6686. Calculate the remainder when 253 is divided by o.
13
Suppose -2*i - l = -55, 3*i + 5*l = 152 - 59. Let w be ((-562)/(-6)*3)/(-1). Let u = w + 408. What is the remainder when u is divided by i?
23
What is the remainder when (11/11)/((-9)/(-30348)*3) is divided by 24?
20
Let n(c) = 14*c - 221. Suppose -3*q = -q + 4*t - 106, -q + 2*t + 45 = 0. What is the remainder when q is divided by n(17)?
15
Suppose n = -3*y + 22, -126 = -0*n - 5*n + y. Calculate the remainder when (3/9)/(3380/16650 + (-1)/5) is divided by n.
11
Let v = 14 - -4. Calculate the remainder when (((-4199)/38)/13)/(2/(-28)) is divided by v.
11
Let r = 30001 - 29421. What is the remainder when r is divided by 28?
20
Suppose -d = -3*a - 34, 2*a = 2*d - 2*a - 64. Suppose t + 0*t = d. Calculate the remainder when 106 - 50/(-20)*12/10 is divided by t.
25
Let s be 11/6 - (-16)/96. Suppose 0*d = -3*d - 3*w + 186, s*d + 4*w = 126. What is the remainder when d is divided by 19?
4
Suppose 864*a - 860*a = 1516. Calculate the remainder when a is divided by 14.
1
Let z(n) = n**3 + 6*n**2 + 12*n - 17. What is the remainder when z(5) is divided by 112?
94
Let v(s) = 11*s**2 - 30*s + 120. Calculate the remainder when v(3) is divided by 3.
0
Let w be (-105)/(-18) + (-1)/(-6). Suppose w*a - 191 = 31. Suppose -3*i + a = 2*x, -5*x + 117 = 4*i + 28. Calculate the remainder when x is divided by 7.
3
Let o(c) = 7*c + 3. Let h(s) = -s**2 + 55*s - 201. What is the remainder when o(3) is divided by h(4)?
0
Let r = 207 - 234. Let u(y) = -y**3 - 26*y**2 + 23*y + 9. What is the remainder when u(r) is divided by 30?
27
Suppose 2*s = -3*q + 73, -75*s + 78*s = 3*q + 87. What is the remainder when 153 is divided by s?
25
Suppose 1297*h - 1044*h - 65274 = 0. What is the remainder when 1085 is divided by h?
53
Let c(v) = 19*v**2 - 55*v + 102. Calculate the remainder when 912 is divided by c(6).
0
Let b = 24 - -4. Let n(k) = -15*k - 86. Let d be n(-6). Suppose -d*g = -505 + 73. Calculate the remainder when g is divided by b.
24
Let h(m) = m**3 - 2*m**2 - 3*m + 36. Let x be h(-6). Let l = x + 264. What is the remainder when 177 is divided by l?
27
Let r(w) = 9*w**3 - 25*w**2 + 20*w - 27. Let a(x) = -2*x**3 + x + 1. Let m(h) = -4*a(h) - r(h). Calculate the remainder when 89 is divided by m(24).
20
Calculate the remainder when 1710 is divided by (-780)/50*210/(-63).
46
Suppose 854*t = 1156*t - 152812. What is the remainder when t is divided by 135?
101
What is the remainder when 2393 is divided by ((-282)/(-4))/((-90)/36 - -3)?
137
Suppose -26*a + 18208 + 79500 = 0. Calculate the remainder when a is divided by 171.
167
Suppose 0 = 2*n - 3*a - 886, 0*n = -2*n - 5*a + 870. Suppose 12*d - n = -10*d. Suppose 0 = v - 4 - 2. Calculate the remainder when d is divided by v.
2
What is the remainder when 187 is divided by (-3 - 0)/(47/(-329))?
19
Suppose -5*x - 999 + 114 = 0. Let l = x + 202. Calculate the remainder when 170 is divided by l.
20
Suppose -5*g + 674 = -3*i, -4*g - i + 125 = -404. What is the remainder when 661 is divided by g?
129
Suppose -15*w = -1256 - 709. Suppose 16*t = -67 + w. What is the remainder when (-13*2)/(-3 - -1) is divided by t?
1
Let a = -808 + 892. Calculate the remainder when 331 is divided by a.
79
Let l = 54 + -25. Let c = l - 22. What is the remainder when (60/(-56)*-10 + -3)*c is divided by 7?
5
Let o = -9266 - -10054. Calculate the remainder when o is divided by 130.
8
Let y(u) = -68 + 14*u - 23*u + 3*u. What is the remainder when (-1)/(38/(-37) - -1) is divided by y(-13)?
7
What is the remainder when 1524 is divided by 754*1 + (24 - 15 - 6)?
10
Let m(r) = -r**3 - 36*r**2 - 62*r - 757. What is the remainder when 1332 is divided by m(-35)?
16
Let d(u) = -u**3 + 3*u**2 - 3*u + 301. What is the remainder when d(0) is divided by 102?
97
Let t = 14 + -8. Calculate the remainder when (9 + 4)*1 + -6 is divided by t.
1
Calculate the remainder when 524 is divided by ((-1)/((-6)/(-15)))/(7/(-42)).
14
Let c(y) = -y + 21. Let s be c(8). Let v = -12 + s. Let n(z) = 8*z + 2. What is the remainder when 19 is divided by n(v)?
9
Let x be (-1 - 8/(-5)) + (-6)/10. Suppose 5*h - 3*h - 4*u = 122, x = h + 4*u - 31. What is the remainder when 253 is divided by h?
49
Suppose 3*q + u = 201, -19*q + 16*q + 201 = -2*u. What is the remainder when 1329 is divided by q?
56
Suppose 8*x - 1282 = -389 + 443. Calculate the remainder when x is divided by 22.
13
Suppose -t - 125 = -k, 0*k = k + 2. Let m = -23 - t. Suppose -20 = -43*r + 1485. What is the remainder when m is divided by r?
34
What is the remainder when 314 is divided by (2 + 10/(-3))*(357/(-4) - -15)?
17
Suppose 4526*b = 4499*b + 4158. Calculate the remainder when 381 is divided by b.
73
Let k = 522 - 165. Let l = k - 335. Calculate the remainder when 59 is divided by l.
15
Let d(z) = 31*z + 1. What is the remainder when d(3) is divided by (-400)/12*(-117)/156?
19
Suppose -2*o + 87 = -5*v - 79, 5*v = 10. Suppose 5*s + o = t - 78, 0 = 5*t - 2*s - 922. Calculate the remainder when t is divided by 11.
10
Suppose 2*a = 5*z + 136, -3*z - 166 = -3*a - 5*z. Suppose 2*h - 20 = 2*o, -4*h = 4*o - 68 - 20. What is the remainder when a is divided by h?
10
Calculate the remainder when 523 is divided by -1*(-18)/42 + (-991)/(-7).
97
Suppose 1091 - 740 = 9*x.