/30. Suppose 0*b - x = -5*t + 4*b, -4*t + 44 = 2*b. Calculate the remainder when 106 is divided by t.
6
Let n(a) = -12*a + 18. Let f(l) = -l**2 - 19*l + 27. Let h be f(-20). Let q be n(h). Let p = -58 - q. What is the remainder when 16 is divided by p?
0
Let i be 7/(-7) + 1*30. Let h be 34/(-153) - i/(-9). Suppose h*l - 2*l = -3*c, 2*c + 10 = 0. Calculate the remainder when l is divided by 4.
3
Suppose 0 = -12*d + 924 + 1392. Let v be d/2 - (5 - (-11)/(-2)). Let m = -61 + v. Calculate the remainder when m is divided by 19.
17
Suppose -3*m + 166 = -117*z + 115*z, -z + 4 = 0. Calculate the remainder when m is divided by 40.
18
Suppose -2*d - 4*z + 30 = 0, -5*d + 9*d + z = 60. What is the remainder when -1 - (-47 + (0 - 2)) is divided by 21/(-14)*(-260)/d?
22
Let l = -365 + 398. What is the remainder when l/55 - (-2394)/10 is divided by 11?
9
Let g(l) = -49*l - 140. What is the remainder when 41 is divided by g(-3)?
6
Calculate the remainder when (1813/(-14))/7*-14 is divided by 54.
43
Suppose 10*v - 11*v = -3*q + 64, 0 = -2*q + v + 43. What is the remainder when 28 is divided by q?
7
Suppose 17*u - i + 2435 = 21*u, -5*i = 2*u - 1231. Calculate the remainder when 76 is divided by 1*3*u/96.
0
Let r(f) = -80*f + 1452. What is the remainder when r(12) is divided by 485?
7
Let x be (18/24 - 5/(-20))*3. Suppose x*c - 196 = -91. What is the remainder when 79 is divided by c?
9
Suppose 4*j - 3*a - 5 = 10, 0 = 5*a - 15. What is the remainder when 276 is divided by j*(-7)/(-14) + 37?
36
Let p(s) = s**3 + 6*s**2 + 10*s + 30. Let l be p(-5). Let i(d) = 9*d + 7. Calculate the remainder when i(l) is divided by 20.
12
Let x = 393 + -260. Suppose 16*y = x + 139. Let z = y - -8. What is the remainder when z is divided by 4?
1
Suppose -59*r = 35*r - 56588. Calculate the remainder when r is divided by 599.
3
Let n be (-7 - (9 - 8))*21/(-4). Let o = 42 - n. Suppose m - 12*m + 352 = o. Calculate the remainder when 124 is divided by m.
28
Let h be -30 + 48/8 - 4. Let i be -19 + (-2 - 0) + 1. Let r = i - h. What is the remainder when 25 is divided by r?
1
Suppose 4*c = -2*l + 5*l + 8, -5*l + c = 2. Let s = -5 + 8. Suppose -y + l = -s. What is the remainder when 8 is divided by y?
2
Suppose 0 = 2*u + 2*m - 34, -5*m + 14 + 6 = 0. Calculate the remainder when 2/u - (-57340)/611 is divided by 32.
30
Let a = -12779 + 14257. Calculate the remainder when a is divided by 26.
22
Let v be ((-115)/(-161) + (-1 - -1))*7. Suppose 4*t - 57 = v*c, -7*t = -2*t + 5*c - 15. What is the remainder when 22 is divided by t?
6
Suppose -s - 910 + 983 = 4*l, -3*l + 26 = -5*s. What is the remainder when 5116 is divided by l?
16
Let t = -322 - -418. Let h be 2/(-5) - (-288)/(-5). Let w = 84 + h. What is the remainder when t is divided by w?
18
Let n = 1044 - 788. Calculate the remainder when n is divided by 13.
9
Suppose -16*v = -2*f - 12*v + 806, 2*f = -3*v + 771. Calculate the remainder when f is divided by 99.
96
Suppose -35*q = -9*q - 312. What is the remainder when 52 is divided by q?
4
Suppose -2*k + 6 = -x, -3*x - 4*k + 9 = -13. Suppose 0 = -3*c + 5*j + 251, -4*c - x*j + 329 + 23 = 0. What is the remainder when 339 is divided by c?
78
Let m = -13943 + 16710. What is the remainder when m is divided by 27?
13
Suppose 0 = -34*i + 631 + 1817. Let u = i + -16. Calculate the remainder when 60 is divided by u.
4
Let r be (-4 + 0)*(-6)/12. Suppose -r*w - 2 + 56 = 0. Suppose -2*c - 242 = -3*x + w, -x + 3*c = -85. Calculate the remainder when x is divided by 23.
22
Let r(f) = -121*f + 3894. What is the remainder when (-1 + 47)*(-12)/(-24) is divided by r(32)?
1
Let b(c) = 283*c - 1058. What is the remainder when 16572 is divided by b(4)?
70
Let r(i) = i**3 - 29*i**2 + 71*i + 91. What is the remainder when r(27) is divided by 36?
10
Suppose 4*m - 100 = -4*r, 0 = 3*m + 2*r - 83 + 7. What is the remainder when 15624 is divided by m?
24
Let d(k) = 2*k**2 - 6*k + 4. Calculate the remainder when d(-5) is divided by -5 - (-54)/(-9) - -42.
22
Suppose -7126 = -67*d + 2589. What is the remainder when d is divided by 35?
5
Suppose -t - 700 = -5*t. Let o = -483 - -499. What is the remainder when t is divided by o?
15
Let u be 6/4 + (-11)/(-22). Suppose 139 = 2*m - 3*g + u*g, m - 5*g - 47 = 0. Let v = -54 + m. What is the remainder when 34 is divided by v?
16
Let j = 4451 - 4439. What is the remainder when 1891 is divided by j?
7
Suppose 6457 = 2*n - 379*w + 380*w, 3*w = -n + 3231. What is the remainder when n is divided by 17?
15
Suppose 120*z = 31*z + 50*z + 1560. Calculate the remainder when 188 is divided by z.
28
Suppose 44*g - 28*g = 48. Suppose 0 = -o - o + 4. Suppose g*l + 19 = o*t - 24, 2*t - 31 = -l. Calculate the remainder when t is divided by 9.
8
Let k = -2150 - -2174. What is the remainder when 253 is divided by k?
13
Suppose 4*a = 8, -2*a = c - 3*c + 104. Suppose c = 5*s + 2*f, 4*s + 2 = -5*f + 35. Suppose -11*v - 28 = -s*v. Calculate the remainder when 79 is divided by v.
23
What is the remainder when (-309)/927*90/(-4)*(-592)/(-12) is divided by 149?
72
Suppose -20*c + c + 209 = 0. Suppose -18*b + 2135 = -c*b. Calculate the remainder when b is divided by 28.
25
Let o = 96 - 82. Suppose 4 - o = -10*m. Calculate the remainder when 1 is divided by m.
0
Let z(y) = y**2 + 21*y - 77. Calculate the remainder when 2/(1/((-634)/(-4))) is divided by z(5).
52
Suppose 0 = -0*z + 2*z + 5*q - 68, 0 = 2*q. Suppose -714 = -8*j + 1718. What is the remainder when j is divided by z?
32
Calculate the remainder when ((-36974)/(-490) - (-8)/20)*7 is divided by 7.
6
Let w be 360/24*(-33)/9. Suppose -3*t = -t + 176. Let c = w - t. Calculate the remainder when c is divided by 9.
6
Let r(m) = 84*m + 132. What is the remainder when 166 is divided by r(-1)?
22
Suppose 20*g - 5*g = -g. Suppose 45*s - 38*s - 196 = g. Let q = s - 3. What is the remainder when 69 is divided by q?
19
Let b be (-20)/(-25) + 6/5. Let t(i) = 3*i**2 + 10*i - b*i - 11*i. Calculate the remainder when 23 is divided by t(2).
5
Let n be (-6)/(0 + (-9)/276). Suppose j - 5*j = -n. Suppose -327 + 103 = -14*k. What is the remainder when j is divided by k?
14
Suppose x - 4 = -p - 1, 1 = -3*x - p. Calculate the remainder when 483 is divided by 1391/26 - 1/x.
51
Let t = 68 - -268. Calculate the remainder when t is divided by 34.
30
Calculate the remainder when 9 - (-669 - (12 - (-2 + 9))) is divided by 678.
5
Let x(b) = 2*b + 1296. Calculate the remainder when x(-11) is divided by 20.
14
Let v = 178 + -66. Suppose -3*i = -v + 91. Calculate the remainder when 118 is divided by i.
6
What is the remainder when 1978 is divided by (-722)/11913 - 1522/(-66)?
0
Let y = -89 - -91. Suppose 2*f = -y*k + 2, -2*k = 4*f + 2 - 14. What is the remainder when 29 is divided by 6/(-33) - k*356/88?
13
Let z(d) = -4*d**3 + 20*d**2 - 35*d - 30. Let j(b) = b**3 - 2*b. Let c(h) = -5*j(h) - z(h). What is the remainder when 39 is divided by c(-22)?
7
Let p be (-13)/(273/(-1414))*3. Suppose -5*u - t + p = -291, -3*u + 289 = 4*t. What is the remainder when u is divided by (-7 - -2)/((-2)/8)?
19
Let s = -206792 - -206813. Let m = 214 - 5. What is the remainder when m is divided by s?
20
Let k(h) = h**2 - 26*h - 228. Let y be k(-7). Calculate the remainder when 227 is divided by (-12)/(-2)*-3*y/(-9).
5
Let d(c) = c**3 + 9*c**2 - 42*c. Let t be d(-13). Let g = t - -212. Suppose -2*j - 41 = -n - 14, 5*n - 3*j = 114. What is the remainder when g is divided by n?
19
Let w(y) = 13*y + 8 + 1 - 16. What is the remainder when 133 is divided by w(4)?
43
Let y be (7 + -9 + 15)/(2/10). Let r = 69 - y. Suppose 11*a = -r*a + 750. What is the remainder when a is divided by 15?
5
Let a = -128 - -129. What is the remainder when (-66)/4*4/(-6) is divided by a/((-39)/(-9) - 16/4)?
2
Let t(y) = -y**3 + 25*y**2 - 34*y + 291. Calculate the remainder when t(24) is divided by (-6)/(-9) - (-70)/3.
3
Suppose 3*y = 6*y - 3072. Calculate the remainder when 54 is divided by y/72 + (2 - 80/36).
12
Calculate the remainder when 1733 is divided by (-6)/4*306/(-27).
16
Suppose -14*o = -3*u - 15*o + 117, -12 = 4*o. Calculate the remainder when 1074 is divided by u.
34
Let h(w) = -w - 7. What is the remainder when 5 + (-22)/4 - 178/(-4) is divided by h(-20)?
5
Suppose -15*d - 70*d = -3506 - 50724. What is the remain