Suppose 4*p = 16, 2*p - p = 5*r - 66. What is the remainder when 3536 is divided by r?
8
Suppose -2*o + 9*o - 539 = 0. Let l(x) = x**3 + x**2 - x + 14. What is the remainder when o - (-5 + 25)/(-5) is divided by l(0)?
11
Suppose -42*g + 463 - 43 + 84 = 0. Calculate the remainder when 1762 is divided by g.
10
Suppose -3*z = -9, 0 = -0*u - u - z + 165. Suppose -20 = -7*s + u. What is the remainder when 170 is divided by s?
14
Let x be (-1 + 1)*(-2 + 33/22). Suppose -4*o = -3*l + 251, -2*l - 3*l - 3*o + 457 = x. Calculate the remainder when l is divided by 10.
9
What is the remainder when -5 - 4*(-1 + (-1643)/2) is divided by 13?
9
Suppose 0 = -d - 88*x + 86*x + 490, 5*x = -2*d + 972. Calculate the remainder when d is divided by 178.
150
Suppose -10*h = -16 - 104. What is the remainder when 39 is divided by h/5*-15*4/(-24)?
3
Let u be 3*((-30)/5)/(-6). Suppose 0 = -u*t + r + 17, 4*t - 19 = -r + 13. What is the remainder when 50 is divided by t?
1
Let u(b) = 20*b + 55. Let h be u(-13). Let i = -78 - h. Calculate the remainder when i is divided by 13.
10
Suppose -t + 100 = -3*g, 0*t - 5*g + 383 = 4*t. Suppose -2*v + 5*v = -9, -3*v = 2*l - t. What is the remainder when l is divided by 11?
9
Suppose 2*a = -10, -347 = -5*c + a + 1068. What is the remainder when c is divided by 99?
84
Let p = 14108 + -13819. What is the remainder when 502 is divided by p?
213
Suppose 2*w - a = 860 - 89, -5*w = 2*a - 1932. Calculate the remainder when w is divided by 13.
9
Calculate the remainder when 639 is divided by ((-175)/30 - -6) + (2553/18 - 3).
83
Suppose -29*q = -44*q - 147*q + 80352. What is the remainder when q is divided by 110?
56
Let m(k) = -k**3 + 6*k**2 + 16. Suppose -4*u = 4*p - 3 - 1, 5*u - 2*p = 40. Suppose -70 = -3*j + 17. What is the remainder when j is divided by m(u)?
13
Suppose 4*n = m + 12, -24 = -m - 5*n - 0. Suppose 0 = m*a + 99 - 255. Suppose -19*o + 56 = -15*o. What is the remainder when a is divided by o?
11
Let o(h) = -1004*h + 38170. Suppose -2*q = -2*d - 276, -4*q + d + 551 = -4*d. What is the remainder when q is divided by o(38)?
13
Let c = 9348 + -8775. What is the remainder when c is divided by 126?
69
Suppose 115*i - 7701 - 5064 = 0. What is the remainder when 332 is divided by i?
110
Suppose 147*b + 6 = 150*b. Suppose p + s = 86, -p + 5 + 82 = b*s. Calculate the remainder when p is divided by 3.
1
Let d = -138 + 136. Suppose 4*k = 0, -3*o - 4*k = k - 141. What is the remainder when o is divided by 13*(3 - d/(-1))?
8
Suppose -4*s + 3*x = -51, -s + 212*x - 213*x + 11 = 0. Calculate the remainder when 371 is divided by s.
11
Suppose 5*k - 214 = a, -5*k + 2*a - 3*a = -206. What is the remainder when 5274/(-15)*(-4)/(-24)*-10 is divided by k?
40
Suppose -42*t + 47*t = -1855. What is the remainder when 157 is divided by 1*t/(-7)*1?
51
Suppose 4*q = -4*n - 0*q + 16, 0 = q + 1. Suppose 2*p + 3*m - 164 = -0*p, n*p = 4*m + 364. Calculate the remainder when p is divided by 26.
24
Suppose t - 5*c = 79, -3*t - 2 + 199 = 5*c. What is the remainder when 103 is divided by t?
34
Suppose 0 = -17*o + 37*o - 11*o - 252. What is the remainder when 63 is divided by o?
7
Let r = 50 + -46. Let o(i) = 14 + 0*i**3 + i**3 - r + 1. What is the remainder when 21 is divided by o(0)?
10
Let k(g) = 4*g**2 + 86*g - 879. What is the remainder when k(13) is divided by 33?
24
Let r(d) = -15*d + 1 - 17*d + 6*d. Let l be r(-1). Suppose -3*n - 3*i + 27 = -9, -n + 4*i = -l. What is the remainder when n is divided by 5?
0
Let m(u) = 2*u - 7. Let x be m(14). Suppose 918 = x*h - 4*h. Calculate the remainder when h is divided by 11.
10
Let l = 35 + -20. Let p(i) = 2*i**3 + 139*i**2 + 223*i + 1430. Calculate the remainder when p(-68) is divided by l.
3
Suppose -121*d + 129 = -118*d - 5*l, -5*l - 225 = -5*d. What is the remainder when 669 is divided by d?
45
Let g = 2581 + -1287. Calculate the remainder when g is divided by 18.
16
Suppose 4*c = 2*y - 584, -y - 150*c + 304 = -149*c. What is the remainder when y is divided by 115?
70
Suppose -2*i = 2*i - 45220. Calculate the remainder when i/49 + (-8)/(-28) is divided by 58.
57
Let d = 4 - 0. Suppose -d*u + 2*i + 262 = 0, 0*u - 2*i - 195 = -3*u. Calculate the remainder when u is divided by (((-368)/(-80) - -1) + (-6)/10)*2.
7
Suppose -2*u + 2*i + 115 = 3*i, 3*u - 4*i = 167. Let d = -51702 + 51722. What is the remainder when u is divided by d?
17
Suppose -41*l - 40*l + 2258 + 1387 = 0. What is the remainder when 211 is divided by l?
31
Let a be 12/(-24) - 5/(-2). Suppose -a*t + 3*g = -0*t - 219, -3*g = -4*t + 447. Let b = 33 + -10. Calculate the remainder when t is divided by b.
22
Let v be ((-12)/(-15))/(2*(-1)/315). What is the remainder when 93 is divided by (v/(-135) - 4/(-6))*20?
29
Suppose -23*n + 24*n - 5 = 0. Suppose 34 = 3*j - 4*h + 6*h, -n*h = 4*j - 57. Calculate the remainder when 10 is divided by j.
2
Suppose 78*u + 123*u - 58050 = -36*u - 150*u. Suppose 2*p = -2*j + 10, -3*j - 3 = p - 0. What is the remainder when u is divided by p?
6
Suppose 46 + 137 = 2*t + y, 4*t - 365 = -y. Suppose 0 = -17*v - 6*v - 1081. Let w = -24 - v. What is the remainder when t is divided by w?
22
Let g(y) = -1456*y + 8769. What is the remainder when 275 is divided by g(6)?
11
Let g(v) = -1 + v**2 - 6*v - 2*v - 4 + v. Suppose -433*q = -446*q + 117. What is the remainder when g(q) is divided by 5?
3
Let x = 246 + -244. What is the remainder when 99 is divided by 221/7 + 9/21 + x?
31
Let d(y) = 91*y**2 - 1. Calculate the remainder when d(1) is divided by 128*(-2)/(-12)*-6*10/(-40).
26
Let h = -48 + 72. What is the remainder when (-25704)/(-60) + (-9)/(-15) is divided by h?
21
Suppose -31*y = 12*y - 2838. What is the remainder when y is divided by 5?
1
Suppose -y - 560 = -6*y. Calculate the remainder when y is divided by (4 - 5 - -6)/1.
2
Calculate the remainder when ((149/(-2) - 2) + -3)/((-4)/8) is divided by (-324)/(-8) + 2/4.
36
Suppose -25*j + 316 = -509. Calculate the remainder when 288 is divided by j.
24
Let h(o) = -24*o - 429. What is the remainder when h(-35) is divided by 53?
40
Let o(s) = 8*s + 73. Let b be o(-5). Suppose 29*m = b*m - 12. What is the remainder when 1/(15/(-185))*m*-1 is divided by 21?
16
Suppose 4*q - 82 - 430 = 0. Suppose -q = -4*d + 236. What is the remainder when d is divided by 14?
7
Suppose -492*m = -3785 - 120691. What is the remainder when m is divided by 4?
1
Suppose 305 + 73 = 27*c. Let v = 79 - c. What is the remainder when v is divided by 22?
21
Let j(z) be the second derivative of -z**4/12 + 2*z**3 - 2*z**2 - 7*z. Let c be j(12). What is the remainder when 0 + 8*(-54)/c is divided by 22?
20
Suppose 2*i = -3*x + i + 1820, 5*x - 2*i = 3037. Calculate the remainder when x is divided by 298.
11
Suppose 56*q - 8 = 52*q. Suppose 0 = -q*k - 5*m + 49, k - 30 = m - 2. Suppose 0 = p + p - 266. Calculate the remainder when p is divided by k.
25
Suppose h + 6*f - 539 = 0, -7*h + f + 1693 = -4*h. What is the remainder when h is divided by 172?
47
Suppose 521 - 8 = 9*q. What is the remainder when q is divided by ((-1 - 0) + (1 - 1))*-29?
28
Let j = 10895 + -10778. What is the remainder when 349 is divided by j?
115
Let c = 89 - -205. Let u = 324 - c. What is the remainder when 88 + 2 + -3 + 2 is divided by u?
29
Let p(c) = -45*c + 46. Let a be p(16). Let z = a - -707. Calculate the remainder when z is divided by (-21)/(7/(-2) + 2).
5
Suppose 11*s = 8*s - 309. Let h = s + 128. What is the remainder when h is divided by 6?
1
Suppose 2*q - 12 = 0, 4*f - 18*q = -20*q + 1344. Calculate the remainder when f is divided by 321.
12
Suppose -9*i + 27*i - 378 = 0. Calculate the remainder when i is divided by 19.
2
Let d = -4991 + 5165. What is the remainder when 1541 is divided by d?
149
Let i(l) = -2*l**2 - 24*l + 40. Let x(j) = -4*j**2 - 46*j + 80. Let s(y) = 7*i(y) - 4*x(y). Calculate the remainder when s(-11) is divided by 7.
5
Suppose 2*p - 26 = -4*x, x + 762 - 749 = p. What is the remainder when 177 is divided by p?
8
Let l = -221 - -234. Let n(k) = k**2 + 2*k - 24. Calculate the remainder when n(l) is divided by 35.
31
Let g(j) be the third derivative of j**5/15 + j**4/12 + 2*j**3/3 - 21*j**2. Let s be g(4). Let b = s - 12. Calculate the remainder when b is divided by 23.
18
Suppose -3*p = -4*f + 51, 3*p = -f - 1 + 2