
12
Suppose 3*u - 3*y + 144 = 174, 2*u - 17 = 3*y. Calculate the remainder when 2164 is divided by u.
6
Suppose 203*b - 32184 = -13*b. What is the remainder when 1647 is divided by b?
8
Suppose -4153 = 12*i - 4633. What is the remainder when 791 is divided by i?
31
Suppose 5*j + 321 = 4781. What is the remainder when j is divided by 75?
67
Suppose 5*o - 3*h - 6949 = 0, -8*o - 2*h + 1395 = -7*o. What is the remainder when o is divided by 41?
38
Let s be (-2)/7 - (-384)/(-224). What is the remainder when 11268/144 - ((-22)/8 - s) is divided by 5?
4
Let l(b) = -5*b**2 - 2*b + 2. Let i be l(-2). Let a be (-48)/i*14/4. Suppose -a*t + 309 + 339 = 0. What is the remainder when 160 is divided by t?
52
Let s(m) = 1013*m**2 - 402*m - 404. What is the remainder when 1014 is divided by s(-1)?
3
Suppose 9*k - 7*c = 4*k + 317, 0 = 4*k - c - 226. Calculate the remainder when 867 is divided by k.
42
Let r(x) = -x**3 + 2*x + 3. What is the remainder when 120 is divided by r(0)?
0
Suppose -2*p + 140*m - 138*m + 126 = 0, -4*m = 3*p - 182. Calculate the remainder when 1424 is divided by p.
60
Let b(h) = -h**2 - 7*h + 8. Let i(x) = x**2 + 11. Let k be i(9). Calculate the remainder when b(-6) is divided by (-17)/(-4) - (k/(-16) - -5).
4
Let f(g) = g**3 - 27*g**2 - 23*g - 124. Let c be f(28). What is the remainder when c/10*(-4720)/(-32) is divided by 20?
16
Suppose -5*j + 84 = -126. Let s be 3*(-228)/(-28) + 24/j. Suppose -s = -f + 5*g, 4*g + 68 = f + 3*f. Calculate the remainder when f is divided by 10.
5
Let b(d) = -5*d**2 - 45*d - 37. Let f be b(-8). Suppose 4*n - 8 = 3*s, 2*n - 26 = -f*s - 4. Calculate the remainder when 7 is divided by n.
2
Let j = 86197 + -86191. Calculate the remainder when 4/12 - 58/(-6) is divided by j.
4
What is the remainder when 886 is divided by (444/1)/(84 - 81)?
146
Let j(k) = k**3 - 42*k**2 + k + 68. Let l be j(42). Suppose x - l = 3*n, 0*n = -4*n - 16. What is the remainder when x is divided by 20?
18
Suppose d = -5*z + 43, d = -3*z + 11 + 16. Suppose -a + 1 = 0, -i - 5*a - 14 = -2*i. What is the remainder when (-1 - i)*(-30)/z is divided by 38?
37
Let o(b) = -b**2 + 4*b + 129. Suppose -111 = -6*p - 33. What is the remainder when 141 is divided by o(p)?
9
Suppose 2*z - j = 184, 3*z - 279 = 2*j - 4. What is the remainder when 100 is divided by z?
7
Let h be 2/(((-12)/(-28))/3). Let n = 19 - h. Suppose 212 = 3*b + n*l, -22 = -b + 5*l + 22. Calculate the remainder when b is divided by 22.
20
Suppose 67 = 5*f - 38. Let b be ((-7)/f)/(2/(-18)). Suppose 154 - 39 = 4*h + b*r, 2*r = 4*h - 90. Calculate the remainder when 47 is divided by h.
22
Let f(r) = -30*r + 20. Let k be f(-2). Let b = k - 41. Calculate the remainder when b is divided by 2.
1
Let s(k) = k**3 + 10*k**2 + 5. Suppose -4*u = -7 + 47. Suppose 4*x - 15 = t, -4*t = -16*x + 18*x - 12. Calculate the remainder when s(u) is divided by t.
0
Suppose -3*p - 17 + 115 = c, -5*p - 322 = -3*c. What is the remainder when c is divided by 54 - 28 - (2 - (3 + -3))?
8
Calculate the remainder when 139 is divided by (0 + 335/3)*(966/(-35))/(-23).
5
Let r(z) = -5*z - 58. Let j be r(-27). Let k = 77 - j. Let i = k + 20. Calculate the remainder when 39 is divided by i.
19
Suppose f + 415 = 5*j, 5*f - 303 = -125*j + 121*j. Calculate the remainder when 10576 is divided by j.
80
Let x(f) = 467*f - 4. Let z be x(1). Suppose -6*p + 5 = -z. Calculate the remainder when 467 is divided by p.
77
Suppose 5*i + 148 = 733. Let f = -33200 + 33440. Calculate the remainder when f is divided by i.
6
Let b(u) = 13*u + 7. Calculate the remainder when (-4214)/(-8) - (-5 + (-38)/(-8)) is divided by b(4).
55
Suppose 0 = 6*j + 2*r - 38, -5*j - 3*r = r - 13. Calculate the remainder when 121 is divided by j.
4
Let h = 3158 - 3102. Calculate the remainder when 376 is divided by h.
40
Suppose -5*m = -20, 6*c + m = 2*c + 4. Suppose -32 = -2*x + 76. Suppose -x*d + 50*d + 72 = c. What is the remainder when 89 is divided by d?
17
Suppose -x = -148 + 152, 2*f + 5*x - 416 = 0. Calculate the remainder when f is divided by 73.
72
Let z(u) = -u**3 + u**2 + 151. Suppose -11 - 124 = -3*p + 96. Calculate the remainder when z(0) is divided by p.
74
Suppose -3060 - 24988 - 36612 = -265*b. Calculate the remainder when b is divided by 34.
6
Let p(m) = m**2 + 61*m + 375. Calculate the remainder when p(-57) is divided by 33.
15
Let w(q) = -2*q - 18. Let l be w(-10). Let o(z) = -3 - 8*z + 90*z**2 - 91*z**2 + l. What is the remainder when 54 is divided by o(-4)?
9
Let t = -60317 + 60346. Suppose 122 = 4*r - 46. What is the remainder when r is divided by t?
13
Suppose 2*g + 0*g = 28. Suppose -b + 4*y = 2, -b + 88*y = 83*y + 3. What is the remainder when g is divided by b?
0
Suppose -4*y - x = -2*x - 212, 0 = -5*x - 20. Let t = y - 50. Suppose -s - t = -3*b, -b + 21 = 2*s + 4. What is the remainder when 13 is divided by s?
6
Let q(p) = 21*p + 90. Let v be q(-3). Let i = -5 + 43. Let l = v + i. What is the remainder when l is divided by 14?
9
Let p(x) = -4*x**2 + 116*x + 83. What is the remainder when 745 is divided by p(29)?
81
Let l(b) = 2*b**2 + 161*b + 2710. What is the remainder when l(-57) is divided by (-2)/6 + 104/6?
14
Let i(y) = -y**3 + 11*y**2 - 10*y + 8. Let r be i(10). Let w = r + 35. What is the remainder when w is divided by -2 + 12 - 1570/(-314)?
13
Let m(q) = -6*q**2 + 15*q + 36. Let j be m(-8). Let w = j - -767. Calculate the remainder when w is divided by 60.
59
Suppose -678 = -83*k - 1241 + 12017. What is the remainder when 1672 is divided by k?
16
Let g(y) = 7*y**2 + 4*y - 14. Let s = 166 + -164. What is the remainder when 0 + -41*(1 + -2) is divided by g(s)?
19
Suppose 6831 = -4*y + 73*y. What is the remainder when y is divided by 13?
8
Let t be (-26)/117 - ((-634)/(-18))/(-1). Suppose -26 = t*a - 37*a. Let o = 13 + -7. What is the remainder when a is divided by o?
1
Suppose 0 = -2*k - 2*k + 552. Let l(f) = -91*f + 119. Let a be l(-6). Suppose -12*j - a = -31*j. What is the remainder when k is divided by j?
33
Suppose 0 = 3*z - 4*z + 57. Let q(a) = 50*a - 1255. Calculate the remainder when z is divided by q(26).
12
Suppose 3*k - 3*s - 3 = -6*s, 4*s = 3*k - 10. Suppose -5*q + 628 = -4*z, -k*q + 3*z + 242 = 6*z. Calculate the remainder when q is divided by 64.
60
Let w be (0 + -2)*13/(-2). Let b = 33 - w. Suppose 2*f - 7*a = -9*a + 16, 0 = -f + 4*a + 3. What is the remainder when b is divided by f?
6
Let v(z) = 2*z + 36. Suppose 5*q + 58 = -7. What is the remainder when 0 + 1 + 42/3 is divided by v(q)?
5
Let u(f) be the first derivative of -f**4/4 + 3*f**3 + 4*f**2 + 30*f - 18. What is the remainder when 39 is divided by u(10)?
9
Let m = -2097 - -2123. Calculate the remainder when 39 is divided by m.
13
What is the remainder when 10346 is divided by 291/(-485) - (-3992)/20?
197
Let h(k) = 27*k**2 + 2*k + 1. Suppose 0*l + 12 = 4*l. Suppose 5*c + 5 = 0, -117 - 182 = -l*n + 2*c. What is the remainder when n is divided by h(-1)?
21
Let a(i) = 23*i**2 + 29*i + 32. What is the remainder when a(6) is divided by 13?
7
Let v(c) = -12*c**3 + 8*c**2 - 4*c - 43. Calculate the remainder when v(-4) is divided by 13.
11
Suppose 104*i = 36*i + 1292. Calculate the remainder when 54 is divided by i.
16
Let l(q) = -q**2 + 10*q - 21. Let k be l(4). Suppose 30 + k = v - 5*i, -5*v + 87 = i. Calculate the remainder when 142 is divided by v.
16
Let z = -18823 - -18949. What is the remainder when 479 is divided by z?
101
Let w(u) = -u**3 + 25*u**2 - 131*u + 75. What is the remainder when 242 is divided by w(17)?
82
Suppose 5*u = -20*i + 17*i + 20, 3*u = 3. Suppose -94 = -3*h - i*g, 4*h - 7*g = -3*g + 104. What is the remainder when 83 is divided by h?
27
Calculate the remainder when 2 + 7 - (3 + 21957)/(-18) is divided by 23.
10
Suppose -k - 994 + 992 = 0, 3*k = h - 60. Suppose -6 = -2*c + 2. Suppose 2*u = c*u - 56. Calculate the remainder when h is divided by u.
26
Suppose p - f - 190 = 0, 174*p - 960 = 169*p + 3*f. Calculate the remainder when 2139 is divided by p.
189
Suppose -6*d = -2964 - 408. Calculate the remainder when d is divided by 41.
29
Let a = -12872 - -12938. What is the remainder when 4419 is divided by a?
63
Suppose -940 = 16*z - 32*z - 78*z. Calculate the remainder when 308 is divided by z.
8
Let l be (4/(-3))/(3/(-18)). Let b