is divided by 47.
46
What is the remainder when (-672)/((-2)/4 + (-7 - -6)) is divided by 76?
68
Suppose 0 = 99*g - 93*g - 2388. Calculate the remainder when g is divided by 20.
18
Let y(l) = -165*l - 3. Let a be y(1). Calculate the remainder when 102 is divided by ((-10)/(-15))/((-4)/a).
18
Suppose w - 3*q - 19 = 0, -5*q = 3*w - 3*q - 35. Calculate the remainder when 163 is divided by w.
7
Let z = 419 + 153. Calculate the remainder when z is divided by 16.
12
Suppose 3*n - 17105 = -33*n + 73435. What is the remainder when n is divided by 63?
58
Let b(p) = -2*p**3 - 4*p**2 - p + 2. Suppose 3*r - 88 = 47. Suppose -57*t + 52*t + r = 0. Calculate the remainder when t is divided by b(-2).
1
Let m = 51 - 147. Let l = 85 + m. Let a = 58 + l. Calculate the remainder when 233 is divided by a.
45
Let c = 272 + -269. Suppose 5*b - 378 = 4*q, c*b + 5*q + 297 = 7*b. What is the remainder when b is divided by 16?
14
Let k(d) = -15*d + 23. Let o = 716 - 692. What is the remainder when k(-8) is divided by o?
23
Suppose 5*d - 5 = 15. Suppose y - h + 102 = -y, -d*y - 5*h = 176. Let o = y + 87. Calculate the remainder when 112 is divided by o.
36
Suppose -4*l - 355 = -2*j + 187, -5*l - 655 = 5*j. Let f be (5 - l/(-4))/(2/(-4)). Suppose f = -z + 71. What is the remainder when 51 is divided by z?
9
Let j be (51 - 3/(-3))*(2 - 1). Let r = j - 50. Calculate the remainder when 49 is divided by ((-266)/4)/(-7) + 1/r.
9
Suppose 6 = -26*z + 213 + 209. Suppose -90 = -3*a - 0*a. What is the remainder when a is divided by z?
14
Suppose t + 1395 = 2*o, -11*o + 8*o + 2047 = 5*t. What is the remainder when o is divided by 227?
13
Let n be (-4 + -2)/((-5)/10). Suppose -96 - 24 = -n*h. Let i = 5 + 32. Calculate the remainder when i is divided by h.
7
Let f be 1*(32 - 3) - 0. Suppose -j + 19 + f = 0. Let b = 80 - j. What is the remainder when b is divided by 17?
15
Suppose 0 = -2*l + i + 7461, 13939 = 5*l - 9*i - 4759. Calculate the remainder when 7460 is divided by l.
6
Suppose 0 = 2*a - 3*m - 16, 4*m - 6 = -4*a - 14. Suppose 4*g = 12, a*g - 16 = 4*u - 9*u. Calculate the remainder when 43 is divided by (2 + u)/4 - -7.
3
Let p(k) = -26*k + 11*k + 37 - 151. Calculate the remainder when p(-14) is divided by 25.
21
Suppose 30*w - 120 = 6*w. Calculate the remainder when 239 is divided by 0 + 98/w + 14/35.
19
Calculate the remainder when (-4)/(-30) + 332692/1860 is divided by 9.
8
Let v be -1*2/(-4)*10. Suppose -322 - 693 = -v*u. Suppose -27*x + h = -23*x - 159, 2*h = -3*x + 133. What is the remainder when u is divided by x?
39
Let j be ((-50)/4)/((-11)/(-242)) - 6. Let u = -229 - j. Calculate the remainder when u is divided by 42.
10
Let p(k) = -k**2 + 82. Suppose -179 + 1505 = -6*d. Let w = 238 + d. What is the remainder when p(0) is divided by w?
14
Let l = 37 + -34. Suppose l*z - 4 - 518 = 0. Suppose -t + z = 2*t. What is the remainder when t is divided by 5?
3
Calculate the remainder when 1205 is divided by (698 - -158)*(-3)/(-8).
242
Suppose -311*f - 155*f + 790237 = 87*f. What is the remainder when f is divided by 233?
31
Suppose 2*m = 5*j - 95, 3 = m - 2. What is the remainder when j is divided by (-4)/((-16)/(-45))*(38665/475 - 83)?
3
Suppose 821 = 4*u - f, -2*u + 4*f = -7*u + 1021. Suppose 247 = 4*s + 183. Calculate the remainder when u is divided by s.
13
Let q = -215 - 427. Let m = -395 - q. Calculate the remainder when m is divided by 10.
7
Let u(i) = -i**2 + 2*i**2 - 10 + 4*i + 4*i - 4*i. Calculate the remainder when u(4) is divided by 6.
4
Let z = 16743 + -15633. What is the remainder when z is divided by 34?
22
Suppose -600 + 687 = 3*s. Let b = 0 - 0. Suppose b*l - 2*l + 222 = 0. What is the remainder when l is divided by s?
24
Suppose 117*q = 28*q + 60164. Calculate the remainder when q is divided by 37.
10
Let p = -3 - -11. Suppose -16*s - 18786 = -s - 20316. Calculate the remainder when s is divided by p.
6
Let m(s) = -5*s**2 - 15*s + 22. Let a be m(-12). What is the remainder when ((-21)/(-2))/((-21)/a) is divided by 3?
1
Suppose -39*v + 2534 = -25*v. Let j = -179 + v. Calculate the remainder when 15 is divided by j.
1
Let n(j) = j**3 + 5*j**2 + 6*j + 5. Let q be n(-8). Let b = -84 - q. What is the remainder when b is divided by 22?
19
Let r = 1116 - 767. Let f = -117570 + 117609. Calculate the remainder when r is divided by f.
37
Suppose 59*q = 54*q + 45. Suppose -q*z - 8*z = -833. What is the remainder when 145 is divided by z?
47
Suppose 0 = 5*o - 34*o + 145. Suppose -76 = -2*t + n + 46, 2*n = o*t - 304. What is the remainder when 539 is divided by t?
59
Let r be (-12)/(-1)*(-10)/(-20). Let t = r + 49. Let m = 59 - t. Calculate the remainder when m is divided by 2.
0
Suppose 2*j + s + 2*s = 12581, j - 5*s - 6297 = 0. What is the remainder when j is divided by 217?
216
Let m(d) = -299*d - 7462. Calculate the remainder when 1750 is divided by m(-25).
8
Suppose -1246*o + 126 = -1237*o. Calculate the remainder when (41/3)/(((-66)/(-36))/11) is divided by o.
12
Suppose 4*m - 5*f = 2*m + 160, -4*m - 2*f = -296. Suppose -3 = -2*o - 2*v + 81, 0 = -4*o - 2*v + 170. What is the remainder when m is divided by o?
32
Let t(o) = 7*o**2 + o - 26. Let b(w) = -w**2 - 22*w + 10. Let z be 2 + -23 + (-1 + 5 - 3). What is the remainder when t(-5) is divided by b(z)?
44
Let p(i) = -i**3 - 4*i**2 - 2*i + 9. Let r be (-10)/8 + 50/40. What is the remainder when 260 is divided by p(r)?
8
Suppose -4 = 2*i, -3*i + 30 + 26 = 2*q. What is the remainder when (-1)/3 + (-5312)/(-96) is divided by q?
24
Let n be (11 - (1 - 0))/(4/(-12)). Let s = 34 + n. Suppose -s*y - 15 = -9*y. Calculate the remainder when 15 is divided by y.
0
Suppose h - 5*k - 43 = 0, 3*k - 21 = -0*h - 2*h. Let p = 1067 + -1022. Suppose p*z - h = 43*z. What is the remainder when 21 is divided by z?
3
Suppose -4*f + 38 + 22 = 0. Suppose -a = -3 + 11. Let x = 36 + a. Calculate the remainder when x is divided by f.
13
Let g = 5151 - 5094. Calculate the remainder when g is divided by 7.
1
Let t = 1 + 2. Suppose t*g + 225 = 12*g. Let x = g - 19. Calculate the remainder when 16 is divided by x.
4
Let f(i) = -7*i - 1. Suppose 0 = 2*r + 2*g - 6, -110*g + 114*g - 16 = -5*r. What is the remainder when f(-5) is divided by r?
2
Suppose 4*g = 24 - 4. Let z = 254 - 1004. What is the remainder when (z/(-35) - 8) + (-8)/(-14) is divided by g?
4
Let l be 16/(-20)*((-650)/2)/(-5). Let w = l + 68. What is the remainder when (-2)/(-6)*-109*-3 is divided by w?
13
Let b = -204 - -366. Calculate the remainder when b is divided by 109.
53
Let u = -6331 - -6340. Calculate the remainder when 177 is divided by u.
6
Let b(j) = -2*j**3 - 7*j**2 + 4*j - 97. What is the remainder when 107 is divided by b(-6)?
48
Suppose 4*m = -3*h - 0*m + 183, 127 = 2*h + m. Calculate the remainder when 41 is divided by -14*h/(-60) + (-2)/12.
11
Let w(v) = v**3 - 3. Let c be w(2). Suppose -c + 31 = m. Suppose 21*a - m*a = -75. What is the remainder when 42 is divided by a?
12
Let x(o) = o**2 + 17*o + 17. Let z = 142 - 158. Let f be x(z). Calculate the remainder when 31 is divided by (10/4)/f*(-66)/(-15).
9
Let x = -866 + 1225. Suppose -4*h + 26 = -154. What is the remainder when x is divided by h?
44
Suppose -2*p - u = -12, 12 - 4 = 2*p + 2*u. Let n = -1433 + 1508. Suppose -5*h + 3*r = -124, 3*h - 2*r - n = -0*h. What is the remainder when h is divided by p?
7
Let i(k) = -k**3 + 37*k**2 + 460*k + 497. Calculate the remainder when 458 is divided by i(47).
26
Suppose -2*k = x - 96, -213*k + 54 = -212*k - x. Calculate the remainder when k is divided by 12.
2
Let q(t) = t. Let n be q(3). Suppose -5*h + n*w + 11 = -4*h, 4*h = -3*w + 74. What is the remainder when 23 is divided by h?
6
Let z(i) = -i - 37. Let j be z(-39). Suppose -4 = j*s, -l = -2*l + 4*s + 178. Calculate the remainder when l is divided by 58.
54
Suppose 4*m + 51 = g, 89 = 3*g + 3*m + m. Suppose 2*d = 2 + 2. Calculate the remainder when g is divided by d/2 - (0 - 12).
9
Suppose -56*t + 11015 = 2783. Calculate the remainder when 2*(t/6 - (-2 + 2)) is divided by 19.
11
Suppose -4*s + 2*s = -3*a + 67, -a = 4*s + 1. Let j = 5 + a. Let c = 39 - j. What is the remainder when c is divided by 8?
7
Let h(s) = -2*s**2 - 28*s + 10. Let k(l) = 2*l**2 + 27*l - 10. Let q(c) = -5*h(c) - 4*k(c). Calculate the remainder w