4). Let v = 21 - r. Suppose 45 + v = 3*o. What is the remainder when o is divided by 6?
3
Suppose -16*x + 1413 + 219 = 0. Let k = -87 + 196. Suppose z - k = -5*n, 5*z - 83 = -n - 2*n. Calculate the remainder when x is divided by n.
18
Suppose 42*x = -3*s + 46*x + 501, x - 668 = -4*s. What is the remainder when 181 is divided by s?
14
Suppose 0 = 4*s + 4*y - 1104, s - 10*y - 270 = -5*y. Suppose -416 = -14*a + 228. What is the remainder when s is divided by a?
45
Suppose 2*y - 7*y + 1940 = u, y - 3*u = 372. Suppose 52 = 48*m - 44*m - a, -2*m + 26 = a. Calculate the remainder when y is divided by m.
10
Suppose 0 = -2*m + 166 - 168. Let v = 19 + -9. What is the remainder when (-3 + v)*(m + 2) is divided by 2?
1
Let y = -20414 + 20435. Calculate the remainder when 86 is divided by y.
2
Suppose -2*j - 12978 = -18362. Calculate the remainder when j is divided by 87.
82
Let y(p) = 200*p - 3091. Calculate the remainder when 485 is divided by y(16).
49
Let i(h) = 98*h + 84. Let g be i(-6). Let f = -471 - g. What is the remainder when 228 is divided by f?
30
Suppose 3*a = 114 + 18. Calculate the remainder when a is divided by 2296/88 - (11190/(-330) - -35).
19
Let l(s) = 7*s + 491. Calculate the remainder when l(-35) is divided by 21.
15
Let x(p) = -p + 529. What is the remainder when x(-27) is divided by 538?
18
Let f = -262 + 245. Calculate the remainder when (3 - 2) + 128/2 is divided by ((-4)/6)/((-6)/(-9))*f.
14
Suppose -212 = -236*w + 6692 + 14336. Calculate the remainder when (-1)/(-2) + (-537)/(-2) is divided by w.
89
Calculate the remainder when 123/6*2/7*7 is divided by (15/(-6))/(3 + (-38)/12).
11
Let c(k) = 201*k - 997. Calculate the remainder when 1 + 5*12/2 is divided by c(5).
7
Suppose 33*t = -175*t + 76960. Calculate the remainder when t is divided by 40.
10
Let r be ((-12)/14)/((-15)/1050). Calculate the remainder when 61 is divided by (-450)/(-22) - r/(-110).
19
Let a be (282/(-15))/((-12)/15060) + 1. Calculate the remainder when a/55*1/(-2)*-2 is divided by 48.
45
Suppose -2*i + 148 = -0*i. Let s = i + -47. Let q = -45 - -61. Calculate the remainder when s is divided by q.
11
Let p = -4342 - -4690. Calculate the remainder when 1091 is divided by p.
47
Suppose 4116*q - 86272 = 3988*q. Calculate the remainder when q is divided by 199.
77
Suppose -4*l - l - 60 = 0. Let p = 2094 - 2046. Calculate the remainder when p is divided by (-2)/8 - 303/l.
23
Let q = 911 - 649. Suppose -s - 2*t = -30, 5*s + 0*s - 129 = -3*t. What is the remainder when q is divided by s?
22
Calculate the remainder when 0 + (121 - (-36)/(-6)) + -7 is divided by 5.
3
Suppose 0*c - 2*v + 32 = -c, -4*c - 2*v - 98 = 0. Let s = c + 22. Let t(o) = o**2 + 2*o + 4. What is the remainder when 21 is divided by t(s)?
9
Let j(r) = 8*r**2 + 28*r + 214. Let q be j(-6). Let i = q + -315. What is the remainder when 189 is divided by i?
18
What is the remainder when 1822 is divided by ((-222)/18)/37*(-50 - -2)?
14
Let a(k) = k + 3. Let v be a(-6). Let b be v*2/(-3) - 24. Let h = 58 + b. What is the remainder when 107 is divided by h?
35
Let j(y) = 6*y - 6. Let x be j(-4). Let z be (42/35)/((-1)/x). Calculate the remainder when 38 is divided by 52/(-6)*(-54)/z.
12
Let g = -153 - -153. Suppose g*z - 288 = -3*u + z, -2*u = -2*z - 192. What is the remainder when u is divided by 10?
6
Suppose -3*y + 3*q + 794 = 140, 827 = 4*y + 5*q. Suppose -5*p - 552 = -4*h, -p - 201 = -3*h + y. What is the remainder when h is divided by 48?
42
Suppose -39*l = 20*l - 767. Suppose 2*h + 2*h = 0. Suppose d + 2*d - 114 = h. Calculate the remainder when d is divided by l.
12
Suppose 0 = -3*l - 0*u + u + 62, 0 = 2*l - u - 43. Suppose -3*y = 2*y - r - l, -5*r = 3*y + 11. Calculate the remainder when 23 is divided by y.
2
Let f(x) = 2*x**3 + 4*x**2 - x - 1. Let p be f(1). Suppose 7*a - 92 = 3*a. Calculate the remainder when a is divided by 224/42 + p/6.
5
Suppose -3*n - 3*n = -1038. Let d = -157 + n. Calculate the remainder when 47 is divided by d.
15
Suppose 1835 + 4122 = 23*w. Let r = w + 131. What is the remainder when r is divided by 79?
74
Let g(v) = 87 - 1120*v + 3*v**2 - 2*v**2 + 1108*v. Calculate the remainder when g(15) is divided by 17.
13
Suppose -3*y + 3*j - 143 = 646, -3*y = -j + 799. Let g be (-2)/(1 + 276/y). Let o = -38 + g. Calculate the remainder when o is divided by 15.
14
Suppose -329 = 10*l - 3829. Let i = l - 240. Let o = 160 - i. What is the remainder when 98 is divided by o?
48
Suppose -19 = -2*g - 5*p, -2*g + 2*p + 4 = 6. Suppose r + 7 = -g*j, 0*r - j = 3*r + 31. Let u = 73 + r. What is the remainder when u is divided by 16?
14
Let o(u) = -4*u + 2. Calculate the remainder when 192 is divided by o(-16).
60
Calculate the remainder when 754 is divided by (-119)/((-14)/14) + -5.
70
Let h = 382 + -377. Suppose 0 = -4*c + n + 1274, 308 = -8*c + 9*c + h*n. What is the remainder when c is divided by 82?
72
What is the remainder when 39/507 - 90452/(-26) is divided by 40?
39
Suppose -23*z = 2*z - 3538 - 362. What is the remainder when z is divided by 15?
6
Let g = 722 - 719. Suppose 4*o - 577 = -g*a, -3*a + 995 - 270 = 5*o. Calculate the remainder when o is divided by 39.
31
Let t(r) = r**2 - 57*r + 395. Calculate the remainder when 55 is divided by t(50).
10
Let q = 14655 + -14507. What is the remainder when 27083 is divided by q?
147
Let h = 186 - 48. Suppose h = 16*p - 54. What is the remainder when ((-21)/4)/(12/(-160)) is divided by p?
10
Suppose 456 = -97*a + 99*a + 3*h, -3*a + 5*h + 684 = 0. Calculate the remainder when 696 is divided by a.
12
Suppose -4 - 1 = -i. Suppose -8 = 4*n + i*r - 21, -1 = n - 3*r. Calculate the remainder when 44 is divided by 46/((-6)/3)*(-2)/n.
21
Suppose 608 = 38*f - 30*f. Let d = 88 - f. What is the remainder when d is divided by 4?
0
Let d(r) = -5*r - 49. Let a(j) = 10*j + 98. Let y(x) = -4*a(x) - 7*d(x). What is the remainder when y(-21) is divided by 21?
14
Let s(p) = -p**2 - 4. Let l be s(0). Let g be ((-231)/(-22))/((-3)/l). Suppose -4 + g = 5*b. What is the remainder when 7 is divided by b?
1
Suppose 752*m = 750*m + 2460. What is the remainder when m is divided by 14?
12
Let l be (-30)/25*100/(-3). Suppose 4*k - 92 = l. Calculate the remainder when k is divided by 19.
14
Let l(r) = 2*r**2 - 105*r + 1383. Calculate the remainder when 8116 is divided by l(25).
4
Let r(t) = t**3 + 2*t**2 + 14*t - 6. Let g = -72 + 132. What is the remainder when r(5) is divided by g?
59
Suppose -3*y + 7179 = 3*a, 3*y - 4*a = -6*a + 7187. What is the remainder when y is divided by 598?
9
Let b be 2/(-4) + 327/(-6). Let a = 100 + b. Suppose 11094*i - 457 = 11044*i - 57. Calculate the remainder when a is divided by i.
5
Let p = 94 - 142. Let h = p + 57. Let g(i) = i**2 - 7*i + 2. Calculate the remainder when g(h) is divided by 11.
9
Suppose 17*j = 22*j - 10. Suppose 3*v - 117 = -2*w, j*v + 4*w - 70 = -0. What is the remainder when (-1 - 80)/((-27)/27) is divided by v?
40
Suppose 5*a - 3041 = -351. Suppose 225*n + 38 - 5954 = 7584. What is the remainder when a is divided by n?
58
Let d = 268 - 135. What is the remainder when d is divided by 3234/147 + 0 + -2?
13
Let g = -36661 + 36674. Let c be (-4)/(-18) - (-14896)/36. Suppose z - 131 - 67 = -4*l, -2*z + l = -c. What is the remainder when z is divided by g?
11
Suppose 5*t - 3*c - 11 = 0, 4*t + 3 = -3*c + 1. Let w be 0 - 3 - t - -7. What is the remainder when (w/18 + (-1)/2)*-33 is divided by 7?
4
Suppose -3*o - 15*o = -6*o - 5220. Calculate the remainder when o is divided by 116.
87
What is the remainder when (-96)/(-448) - 52382/(-28) is divided by 78?
77
Suppose -4*l - 8 = r - l, -3*r + 4*l = 50. Let a = -3963 + 3964. What is the remainder when 40 is divided by (-7)/r*a*28?
12
Let f(y) = y**3 + 12*y**2 - 30*y - 25. Let g be f(-14). Suppose g*h - m - 73 = 0, 4*h + 62 = 6*h - 4*m. Calculate the remainder when 81 is divided by h.
12
Suppose 254*c = 255*c - 52 + 5. Suppose 4*t + t = 85. Calculate the remainder when c is divided by t.
13
Suppose -i + 573 = -6*i - k, -i = k + 117. Let a be 1 - (79 + (-2 - -1)). Let l = a - i. Calculate the remainder when l is divided by 3.
1
Let g(s) = -s**2 - 18*s + 28. Let x(u) = 2*u**2 + 4*u - 4. Suppose -8*d = -15 - 9. Calculate the remainder when g(-12) is divided by x(d).
22
Let u(j) = -j