2
Let q(a) = 23*a + 20*a + 1 - 12*a. Suppose 4320 + 5803 = 191*b. Calculate the remainder when q(5) is divided by b.
50
What is the remainder when 3496 is divided by 54/135 - (4758/10)/(-3)?
157
Let y(m) = 19 - 4*m - 7 + 41 + 53. What is the remainder when y(21) is divided by 8?
6
Let n(t) = t + 147. Calculate the remainder when n(-18) is divided by 59.
11
Suppose -2*a - 64 = -72. Suppose 5*x - 1320 = -a*q, 3*x + 16 = 4. Calculate the remainder when q is divided by 56.
55
Suppose 231*o - 2156 = 121*o + 99*o. What is the remainder when o is divided by 170?
26
Let k(o) = o**2 + 4*o + 369. Let t = 265 + -265. What is the remainder when k(t) is divided by 7?
5
Suppose 3*d + d - 21 = 5*g, -d = -4*g - 8. Suppose -9*k + 14*k - 3040 = d*y, 4*k - y - 2432 = 0. What is the remainder when k is divided by 61?
59
Let i = -5556 - -5771. What is the remainder when i is divided by 72?
71
Let a(h) = -4*h + 4*h - 20 + 10 - 80 - 14*h. Calculate the remainder when 140 is divided by a(-10).
40
Suppose -5*i - 2*u + 6544 = -6904, 0 = -4*i + 4*u + 10792. What is the remainder when i is divided by 672?
4
Suppose -5*s = -0*s - 25. Let n(q) = 17*q + 5*q**2 + 16 + 4*q**2 + s*q**2 - 15*q**2. Calculate the remainder when n(17) is divided by 8.
0
Let r(n) = -31*n + 1576. Suppose 0*g + 3*g + 102 = z, 5*g + 204 = 2*z. Calculate the remainder when z is divided by r(50).
24
Suppose 0 = -3*p - 3*j - 24 + 216, -330 = -5*p + 5*j. Calculate the remainder when p is divided by 55.
10
Suppose 0 = -2*y + 21 - 39. Let t = y - -9. What is the remainder when 87 is divided by 14 - (t + -8 - -4)?
15
Suppose -23*b + 28*b = 2875. Suppose b = 8*w - 1193. What is the remainder when w is divided by 33?
23
Let z = -10 - -15. Let m be (0 - 2)/(4 - z). Suppose -2*d + 3*x = -11, -d - m*x + 6 = d. Calculate the remainder when 31 is divided by d.
3
Let n = 603 - 777. Let g = n - -234. What is the remainder when g is divided by 25?
10
What is the remainder when (-14364)/(-10) - 0 - 7521/(-12535) is divided by 111?
105
Let s = -6 - -14. Let n(u) = -10*u + 34. Let t be n(7). What is the remainder when (t + 0)*33/(-44) is divided by s?
3
Suppose 3*g - 404 = -g. Let a = -13 - -25. What is the remainder when g is divided by a/(-6) + 108/3?
33
Suppose -2*l = 2*i - 1004, -2*i + 38*l + 1012 = 42*l. Calculate the remainder when i is divided by (-25)/(-5 + 63/14).
48
Calculate the remainder when 6445 is divided by (4/(-8)*-15)/(1/4).
25
Let n = 92 - 101. What is the remainder when -3 - (3/(-9) - (-366)/n) is divided by 6?
2
What is the remainder when (0 + 2306/8)/(-10 - 972/(-96)) is divided by 763?
17
Let v(r) = r**2 + 40. Suppose 21*p = 36*p. Calculate the remainder when 439 is divided by v(p).
39
Suppose 1386*d + 288 = 1392*d. Let j be -90*(-3 - 22/(-6)). Let h = 87 + j. Calculate the remainder when d is divided by h.
21
Suppose -j + 85 = 5*b, j + 4*b = 6*j - 425. Suppose -4*y - 38 = h, 4*y - 3*y = 5*h + j. Let k = 39 + h. Calculate the remainder when 228 is divided by k.
18
Suppose -3*m = 3, 13 = -3*i + 5*i - m. Let y = 4 + -10. What is the remainder when 9 is divided by y*(-1 - (-3)/i)?
0
Suppose 11*k - 1692 - 2719 = 0. Let f = 403 - k. Let w = 4 + -2. Calculate the remainder when w is divided by f.
0
Suppose -5*r + 3*z = -6058 - 7051, -r - 3*z = -2611. What is the remainder when r is divided by 138?
136
Let p = 14284 - 14264. Suppose -149 = -5*b + 21. Calculate the remainder when b is divided by p.
14
Let t(w) = 21*w + 1. Suppose -1258 = -4*m - 4*r + 654, -m = 4*r - 499. What is the remainder when m is divided by t(2)?
41
Let u = -410 - -146. Let m = -30 - u. Calculate the remainder when m is divided by 60.
54
Let h = 12122 + -11948. Calculate the remainder when 3653 is divided by h.
173
Suppose 10*a = 7*a + 510. Let y = a - 138. What is the remainder when y is divided by ((-1)/(-1))/((-2)/(-36))?
14
Suppose 0 = 2*f - 3 - 3. Let a(i) = -i + 52. Let o be a(52). Suppose f*m + 4*x - 197 = o, 2*x - 232 - 73 = -5*m. What is the remainder when m is divided by 16?
11
Suppose -4*j - 4*s + 280 = 0, 27*s + 6 = 21*s. Calculate the remainder when 1650 is divided by j.
17
Let t = -27 - -21. Let i(l) = l**3 + 7*l**2 - l - 20. What is the remainder when 128 is divided by i(t)?
18
Suppose -4*m - 4*s - 4 = -80, m - 31 = -5*s. Calculate the remainder when 6/(-4) - ((-2392)/m + -1) is divided by 15.
14
Let o = -5515 + 5610. Calculate the remainder when 2276 is divided by o.
91
Let s(f) = 159*f + 6. Let t be s(-2). Calculate the remainder when 80 is divided by (-5)/((-6)/(t/(-10))).
2
Suppose 4*w + i = 7900, 3*w - i - 695 = 5230. Suppose -18*v + 23*v - w = 0. What is the remainder when v is divided by 44?
43
Let u(k) = 4*k - 6. Let g be u(4). Let h = 80 + 24. Suppose -g*l = -2*l - h. What is the remainder when 25 is divided by l?
12
Let s(w) = -123*w - 1664. What is the remainder when 944 is divided by s(-14)?
16
Let h(c) = -10*c + 6. Let n be h(-2). Suppose 0 = 7*f + n + 289. Let s = f + 63. Calculate the remainder when 124 is divided by s.
16
Let l(c) = -2*c**2 - 4 - 46*c + 52*c + 0*c**2 + 217*c**3 + c**2. What is the remainder when l(1) is divided by 55?
53
Let h = 297 + -295. Suppose 108 = h*o - 18. Calculate the remainder when 627 is divided by o.
60
Let b(v) = v**3 + 10*v**2 + 10*v - 12. Let d(a) = a**3 + 7*a**2 + 8*a + 7. What is the remainder when b(-7) is divided by d(-5)?
14
Suppose 4*q = -4*b + 8, 3*b - 2*q - 2*q - 13 = 0. Suppose 0 = -2*j - b*d + 28, 3*j = -d + 36 - 8. Calculate the remainder when 63 is divided by 4/j*4 - -3.
3
Suppose -i + 23*d + 113 = 24*d, 2*i = 4*d + 214. Calculate the remainder when i is divided by 40.
31
Let r(d) = 3*d**2 + 46*d + 71. Calculate the remainder when r(11) is divided by 294.
58
Let c(j) = 15*j**2 - 75*j - 3. Calculate the remainder when 117 is divided by c(6).
30
Let k(c) = 18*c + 279. Calculate the remainder when 3588 is divided by k(-12).
60
Suppose -3*v = 4*k - 58, 88*v - 24 = -2*k + 89*v. Calculate the remainder when 1231 is divided by k.
9
Suppose 0 = 89*t - 113*t + 216. What is the remainder when 2373 is divided by t?
6
Suppose -2*o + 175 = j, -17*j - 14*o - 206 = -19*j. Suppose 0 = 5*y - 0*y - 430. Calculate the remainder when j is divided by y.
73
Let u = 394 - 764. Let z = -157 - u. What is the remainder when z is divided by 8?
5
Let i(o) = -o**2 - 87*o - 1421. Calculate the remainder when i(-23) is divided by 24.
3
Let q = -3721 - -4663. What is the remainder when q is divided by 22?
18
Let o(p) = 2*p**2 - 16*p + 23. Let j(c) = c**2 - 15*c + 20. Let y(t) = 3*j(t) - 2*o(t). Calculate the remainder when 103 is divided by y(-11).
31
Calculate the remainder when 4858 is divided by (-58)/(1276/495)*6/(-3 + 0).
43
Let y(s) = 84*s + 73. What is the remainder when y(4) is divided by 23?
18
Let p(i) = i**3 - 6*i**2 - 43*i + 271. Suppose 257 = 5*d - 298. Calculate the remainder when d is divided by p(5).
18
Let p(n) = -430*n**3 + 6*n**2 + 6*n + 2. Calculate the remainder when p(-2) is divided by 9.
7
Let h be ((-12)/8*-2)/(2 - 1). Suppose 2 + 5 = 2*u - 5*n, u - 3 = h*n. Suppose u*t + 2*t = 168. What is the remainder when t is divided by 11?
10
Let c(r) = r**2 - 27*r - 48. Let i be c(29). Suppose g = -3*l - 11, g - 6*g = 2*l - i. What is the remainder when g is divided by 3?
1
What is the remainder when (-1674)/(-8) - (-87)/116 is divided by 112?
98
Suppose 1 = -r, r + 1 = -2*t + 34. Suppose 5*a + 252 = 252. What is the remainder when t is divided by 7*(a - 15/21)*-2?
7
Calculate the remainder when 12/(-20) - (-15024)/40 is divided by 87.
27
Suppose 78915 = -16*z + 79107. Suppose 3*k - 7 - 3 = 4*m, -3*m + 6 = 0. Calculate the remainder when z is divided by k.
0
What is the remainder when 287 is divided by 13 + 3 + (-1128)/(-8)?
130
Let y(m) = 173*m**2 - 56*m - 4. What is the remainder when 201 is divided by y(1)?
88
Suppose -310*i - 61*i - 116*i = -43830. Let m(x) = 31*x. What is the remainder when i is divided by m(1)?
28
Suppose -v = v - 3*j - 9, 15 = v - 5*j. Suppose -10*n - 17*n + 486 = v. What is the remainder when 195 is divided by n?
15
Let b(m) = -m**3 + 3*m**2 + 6*m - 2. Let x be b(8). Let i = x + 501. Calculate the remainder when i is divided by 12.
11
Let s be ((-18)/(-4))/(((-75)/10)/(-15)). What is the remainder when (-36)/s + (-27)/(-1) is divided by 7?
2
Let r