mainder when b is divided by 12.
9
Suppose -3*a - 80*y + 84*y + 511 = 0, 4*y = -4*a + 728. Calculate the remainder when 1074 is divided by a.
12
Suppose -4*c - 9 = -s, 6*s - s - c = -12. What is the remainder when 298 + 2 + s/3 is divided by 12?
11
Let n be (-4*4/(-40))/(1/35). Let s be (1 + -2 + -5)*14/n. Let q = s + 39. What is the remainder when 129 is divided by q?
30
Let u(b) = -4*b - 16. Let x be u(-5). Suppose -3*y = 2*p - 32, 3*y + p - 27 = x*p. What is the remainder when (-4 - 15)*(4 + -5) is divided by y?
9
Suppose -3*k - 2*k - 5*f = -30, -k + 5*f - 6 = 0. Suppose k*y + 0*y - 40 = 0. Calculate the remainder when 18 is divided by y.
8
Let q(h) = 80*h - 2. Let t = -1264 + 1290. What is the remainder when q(1) is divided by t?
0
Let l = -127 - -133. Suppose l*v = 3*v + 2*z + 64, v = z + 22. Let n(g) = -g**2 + 4*g. Calculate the remainder when v is divided by n(3).
2
Suppose 25 - 81 = -4*x. Let t be (30/105)/(2/x). Suppose h = 5*i - 38, 0*i - 5*h + 26 = t*i. What is the remainder when 15 is divided by i?
7
Suppose -16*h + 15*h + 67 = 0. Let d = h - 34. What is the remainder when 162 is divided by d?
30
Suppose 0 = 96*o - 71*o - 1150. What is the remainder when 318 is divided by o?
42
Let w = -20391 + 20885. Let l = -20 - -51. What is the remainder when w is divided by l?
29
Let c = 9489 + -8927. What is the remainder when c is divided by 44?
34
Suppose 73*h + 16 = 75*h. Suppose 3*x = 2*p + 304, -x - 9*p + 103 = -h*p. Calculate the remainder when x is divided by 15.
12
Let w(m) = 5*m + 24*m**2 - 50*m**2 - m**3 + m + 28*m**2. Suppose -3*z - 5*y + 34 = 0, 0*z - z + 28 = 5*y. What is the remainder when 44 is divided by w(z)?
8
Let m(g) = -468*g - 3259. What is the remainder when 266 is divided by m(-7)?
11
Let t(i) = -6*i + 52. Let a be t(8). Suppose 58 - 5 = 2*o - 5*c, -95 = -a*o - c. What is the remainder when 108 is divided by o?
12
Let o(l) = -8228*l**3 - 4*l**2 - 19*l - 16. What is the remainder when o(-1) is divided by 121?
120
Let y be 4 - (-604 + (-7 - -2)/5). Let d = y + -403. What is the remainder when d is divided by 19?
16
Let d(x) = 248*x + 759. Calculate the remainder when d(-2) is divided by 95.
73
Let i = -3141 + 3167. What is the remainder when 112 is divided by i?
8
Calculate the remainder when -7 + (1 - 14) + 96 is divided by 73.
3
Let r(z) = z**2 + 160*z - 1738. What is the remainder when r(-175) is divided by 144?
23
Calculate the remainder when 155/3 + 270/810 is divided by 1/(-2 + (-86)/(-42)).
10
Let f = 4273 - 4265. Let x(j) = j**3 + 5*j**2 + 2*j - 4. Calculate the remainder when x(-3) is divided by f.
0
Suppose 0 = -5*o - 109 + 74, 3*b + 2*o - 460 = 0. What is the remainder when b is divided by 56?
46
Suppose r + 3 = -4. Let z(d) = 4*d**2 + 16*d + 2. Let o be z(r). Suppose -7*h - o = -8*h - y, 4*y + 223 = 3*h. Calculate the remainder when h is divided by 21.
18
Let x(u) = -u - 9. Let s be (-80)/(-48) - (-59)/(-3). Calculate the remainder when 52 is divided by x(s).
7
Let f = -8159 + 8186. Suppose 45 = 4*i + i. Calculate the remainder when f is divided by i.
0
Let r(v) = -43*v + 3295. Calculate the remainder when r(62) is divided by 190.
59
Suppose -c = -3*t + 8, 4*c = -t + 3*c + 4. What is the remainder when 58 is divided by t?
1
What is the remainder when 577 is divided by 4 - (108/378 - (508/14 - 0))?
17
Let g be (1/1)/(64/(-28608)). Let y = g - -467. What is the remainder when 22 is divided by y?
2
Let r = -37699 + 37751. Calculate the remainder when 1010 is divided by r.
22
Suppose -h = 100*w - 104*w + 113990, -113978 = -4*w - 5*h. What is the remainder when w is divided by 76?
73
Let j(h) = -h**3 - 51*h**2 + 43*h + 2212. What is the remainder when (-10)/4*532/(-35) is divided by j(-51)?
0
Let o(n) = 113*n - 1246. What is the remainder when o(21) is divided by 139?
15
Let q(u) = 2*u**3 - 6*u**2 + 47*u - 119. What is the remainder when 182 is divided by q(3)?
6
Suppose 0 = -4*h + 16*h - 1728. Calculate the remainder when h is divided by 30.
24
Let o(l) = -30*l + 9. What is the remainder when 8134/(-415)*35/(-2)*1 is divided by o(-2)?
67
Let t(a) = 9*a + 120. Suppose 0 = 3*w - 45 - 45. Suppose 4*s - 24 = 3*g, -s + 3*g = -3*s + w. Calculate the remainder when t(-11) is divided by s.
3
Let j(w) = -w**3 + 11*w**2 + 118*w - 766. What is the remainder when 1033 is divided by j(7)?
9
Let t(r) = 19*r - 86. Let y be t(4). Calculate the remainder when 29 is divided by 6 + 64/y + (-171)/(-15).
7
Let o(d) = 147*d**2 - 12*d + 148. Calculate the remainder when o(6) is divided by 158.
154
Let t be 6/8 - (-4 - 13/4). Let g(j) = -j**2 + 7*j + 10. Let d be g(t). Suppose -d*w + 59 = 1. What is the remainder when 144 is divided by w?
28
Suppose -x = -3*x + 2, -4*x - 37 = -u. Let o = 49 - u. Suppose -o*h - 145 = -13*h. What is the remainder when h is divided by 15?
14
Let p(j) = 154*j - 384. What is the remainder when 236 is divided by p(3)?
2
Suppose -6*i + 4*i = -138. Suppose 2*k = i - 19. Suppose 0 = -2*u + 3*w + 107, -3*u + 2*w - 6*w + 135 = 0. What is the remainder when u is divided by k?
24
Suppose -13 = -5*f + 17. Let v(n) = n**2 - 6*n + 5. Let z be v(f). Suppose -z*g = -10*g + 30. What is the remainder when g is divided by 2?
0
Let l = -10136 - -10174. What is the remainder when l is divided by 24?
14
Let s(q) = -4*q + 15. Let c be s(7). Suppose 5*j + 3*y = -116, 0 = 8*j - 3*j - 4*y + 137. Let x = c - j. Calculate the remainder when 59 is divided by x.
11
Let m(p) = -970*p + 76. What is the remainder when m(-1) is divided by 17?
9
Let y = 41841 + -40584. What is the remainder when y is divided by 156?
9
Let f(n) = n**2 + 6*n + 7. Let k be f(-5). Let d be 31/k*-1*(3 - 5). Suppose 5*g - 3*t = 31, 5*t - d = 3*g - 5*g. What is the remainder when 31 is divided by g?
7
Let u be (56/3 - 0)*(-9)/(-4). Suppose -u = -r - 10*p + 7*p, 89 = 2*r + 5*p. What is the remainder when r is divided by 16?
9
What is the remainder when (6/(-10) - (-29089)/15)*(-1038)/(-692) is divided by 27?
19
Let t = -227 - -569. Let s = 568 - t. What is the remainder when s is divided by 19?
17
Suppose -29 - 257 = -26*v. Calculate the remainder when (-2634)/(-8) - (v + 429/(-44)) is divided by 10.
8
Let w(t) = 19*t**2 + 51*t - 167. Calculate the remainder when 175 is divided by w(3).
18
Suppose 35*t - 12*t = 207. Let d be (-4)/5*(-10)/(-2). Let p = d + t. Calculate the remainder when 7 is divided by p.
2
Suppose -13 - 11 = -8*v. Suppose -2*i - n - v*n - 314 = 0, -4*n + 421 = -3*i. Let y = -116 - i. What is the remainder when 60 is divided by y?
29
Calculate the remainder when 2*876/8 - 4/((-60)/45) is divided by 25.
22
Let z(v) be the second derivative of v**4/12 - 11*v**3/2 - 99*v**2/2 + 22*v + 1. Calculate the remainder when 90 is divided by z(37).
41
Suppose 8*g + 254 = 6*g. Let t = -122 - g. Let r = t + 3. What is the remainder when 38 is divided by r?
6
Suppose -p = -53 + 11. Let y = 12051 + -12007. Calculate the remainder when y is divided by p.
2
What is the remainder when 11*28 - (9 + 4) is divided by 7?
1
Suppose -88937*l + 88988*l - 102 = 0. Let v = -4 - -6. What is the remainder when v/2 - (-4 + 2) is divided by l?
1
Let k(b) = 2*b - 28. Let n(v) = v + 1. Suppose 2*m - 12 = 3*q, -4 = 2*m + 3*q + 2*q. What is the remainder when n(m) is divided by k(15)?
0
Suppose 2*x - 151 = -z, -5*z = -x - 3*z + 88. Calculate the remainder when 465 is divided by x.
75
Let j be 733/2 + 56/112. Let o = j + -343. What is the remainder when o is divided by 15?
9
Suppose 7*p = 8*p + 2*i - 14196, 4*i - 71016 = -5*p. What is the remainder when p is divided by 76?
72
Let y be -2*(-70 + (-21)/7). Calculate the remainder when (-13)/13 + y*3/3 is divided by 37.
34
Suppose 5*a - 520 = -2*i - 17, 5*i + 3*a - 1267 = 0. Suppose 4*p - 90 = 166. What is the remainder when i is divided by p?
62
Suppose 456*w - 477*w + 2550 = -75. Calculate the remainder when 457 is divided by w.
82
What is the remainder when 1650 + (-4 - (-24)/(-2)) is divided by 26?
22
Suppose -3*a = 7*h - 12*h - 30, 0 = 2*h - a + 11. Calculate the remainder when 192/(h - 36/(-8)) is divided by 13.
11
Let b = -10 - -9. Let x be 318 - (b + -3 + 1). Suppose -5*n + 89 + x = 0. What is the remainder when n is divided by 14?
12
Let g = 138 - -64. Let k = -153 + g. What is the remainder when 182 is divided by k?
35
Sup