et b = u + 43. Calculate the remainder when b is divided by z.
4
Let c(h) = h**2 + 14*h + 13. Let y be c(-11). Let z = y - -20. Suppose 6*m - 5*m - 17 = z. Calculate the remainder when m is divided by 5.
2
Suppose 2*t = 5*m + 115, 3*t = 6*m - 2*m + 190. Calculate the remainder when 1679 is divided by t.
69
Suppose 2*m - 3*m + z - 4 = 0, 2*z = -4*m + 8. Calculate the remainder when (1 - m)*(70 + 1) is divided by 12.
11
Suppose 66*p - 62*p - 84 = 0. What is the remainder when p is divided by 17?
4
Suppose 3*h + 3*y = 96, h + 4*y - 36 = -y. Let t(s) = 97*s - 424. What is the remainder when t(5) is divided by h?
30
Let l(y) = -4*y**2 - 11*y + 4. Let w(r) = -r**2 - r. Let u(q) = -l(q) + 5*w(q). Calculate the remainder when 23 is divided by u(3).
3
Let z = 46 + 23. Let o = z - 67. Calculate the remainder when 0 + -1 + (-12)/(-3) is divided by o.
1
Let f(q) = q**3 - 22*q**2 + 47*q - 83. What is the remainder when 740 is divided by f(20)?
56
Suppose -3*v = -1573 - 527. Calculate the remainder when v is divided by 78.
76
Suppose 5*a - a + 2*b = 2582, -3*a - 2*b + 1937 = 0. Suppose -5*c = y - 645, -a = -5*c - 0*y + 2*y. What is the remainder when c is divided by 26?
25
Suppose 18*q - 96 = 6*q. What is the remainder when q is divided by 5?
3
Let i(w) = w**3. Let z(r) = 5*r**3 + 2*r**2 - 2*r - 9. Let c(s) = 4*i(s) - z(s). Let t be c(-6). Let y = -33 + t. What is the remainder when y is divided by 22?
20
Let r = -474 - -483. What is the remainder when 21 is divided by r?
3
Suppose -14*v + 19*v - 555 = 0. Let o = 120 - v. What is the remainder when 18 is divided by o?
0
Suppose 11 + 5 = v. Let y = 894 - 833. Calculate the remainder when y is divided by v.
13
What is the remainder when 358 is divided by (-15)/15 + (-2 - (2 + -29))?
22
Suppose -14 = -3*b + 31. What is the remainder when b is divided by (12 - 24 - -8)*(-3 - -1)?
7
Let x(h) = -18*h - 4. Let f be x(3). Let z = 86 + f. Let v(n) = n**2 - 14*n. What is the remainder when z is divided by v(15)?
13
Suppose 22*h + 413 = 3559. Calculate the remainder when h is divided by 10.
3
Let o(p) = p. Suppose -218 = 3*t - 50. Let w be 2/(3 - t/(-20)). What is the remainder when o(w) is divided by 6?
4
Suppose 0 = -3*s - 3*m + 183, -14*s + 10*s = -2*m - 244. What is the remainder when 231 is divided by s?
48
Let w = 4 + -2. Suppose 2*j + 1 = d - 1, -5*d + 18 = -w*j. Let n = d + 69. What is the remainder when n is divided by 25?
23
Suppose 0 = -t - 2*t + 2*x + 68, 62 = 3*t - 5*x. What is the remainder when t is divided by 4?
0
Let t(c) = -2*c**2 - 40*c - 127. What is the remainder when 217 is divided by t(-13)?
52
Let u(j) = -26*j + 41. Let v(y) = 3*y - 32. Let c be v(9). What is the remainder when u(c) is divided by 29?
26
Let p = -215 - -460. Suppose 4*o = -3*z + 188, 0 = -5*z - 4*o + p + 55. Calculate the remainder when z is divided by 20.
16
Let x(k) = -k - 23. Let n be x(-23). Calculate the remainder when (-362)/(-10) + (2/(-10) - n) is divided by 10.
6
Let p = -7 + -25. Let v be (-2)/(-2) + p - -3. Let x = v + 39. What is the remainder when 42 is divided by x?
9
Let t(a) = 12*a - 28. Let f(s) = -s. Let q(r) = -3*f(r) - t(r). What is the remainder when 253 is divided by q(-4)?
61
Let h = -71 + 137. What is the remainder when 144 is divided by h?
12
Suppose p + 40 = 3*p. Suppose -7*d = -725 + 46. Calculate the remainder when d is divided by p.
17
Calculate the remainder when (1 - -35) + -9 + 23 + -11 is divided by 22.
17
Suppose 126 = 5*b - 2*z - z, -130 = -5*b + 5*z. What is the remainder when 187 is divided by b?
19
Let u(q) = 13*q**2 + q - 2. Suppose -8314 = -35*c - 1209. What is the remainder when c is divided by u(2)?
47
Suppose 2*h - 67*h = -90350. What is the remainder when h is divided by 107?
106
Let z(y) = y**3 - 4*y**2 + y. Let k be z(4). Suppose k*w + 5*n - 136 = 2*w, -2*w = n - 128. What is the remainder when w is divided by 13?
11
Let d be 6*(-42)/(-27)*36. Suppose 0 = 7*a - d - 385. Let q = 59 + -33. What is the remainder when a is divided by q?
25
Suppose -3*c = -c - 390. Suppose 5*a - 640 = -c. Calculate the remainder when a is divided by 46.
43
Let i(l) = l**2 + 8*l + 10. Let t = 3 - -3. Suppose 0 = r - 2 - t. What is the remainder when i(-10) is divided by r?
6
Suppose -193 = -3*r - 58. Calculate the remainder when 173 is divided by r.
38
Suppose 2 = u - 2. Suppose 20 = 2*x + u*t, -5*x - 4*t - 19 + 87 = 0. Calculate the remainder when 45 is divided by ((-117)/52)/((-3)/x).
9
Let t = -332 + 580. What is the remainder when t is divided by 44?
28
Suppose 4*j - 260 = -4*m, 150 = 4*m - 3*j - 103. Calculate the remainder when 251 is divided by m.
59
Let r = 90 - -74. Let b = r + -134. Calculate the remainder when b is divided by 17.
13
Let h(z) = z**3 + 6*z**2 - 6. Let q be -9 - (0 + -1) - -3. Let f be h(q). Suppose 0*w - f = -w. Calculate the remainder when 74 is divided by w.
17
Calculate the remainder when 494 is divided by 276/5 + (96/20 - 5).
54
Suppose 274 = -2*q - 0*q. Suppose 394*v = 384*v + 180. What is the remainder when q/(-4) + (-1)/4 is divided by v?
16
Let x(z) = -8*z - 5*z + 38*z**3 + 3 + 12*z**2 - 18*z**3 - 19*z**3. What is the remainder when 19 is divided by x(-13)?
1
Suppose k - 2*k = -17. Suppose -15*d = -14*d + 6. Let n = d + k. Calculate the remainder when 29 is divided by n.
7
Suppose -50 = -18*s + 8*s. What is the remainder when 72 is divided by s?
2
What is the remainder when (2 + 1)/(-1) - 3942/(-27) is divided by 37?
32
Let l(h) = h**2 - 4*h - 255. Calculate the remainder when l(-20) is divided by 69.
18
Let p = 189 + -55. What is the remainder when p is divided by 8?
6
Let v = -44 + 20. Suppose -4*r + 0*r = 40. What is the remainder when 127 is divided by (-96)/r*(-80)/v?
31
Suppose 3*h - 218 = 142. Suppose h = 2*o + 3*o. Let n = -24 + 38. What is the remainder when o is divided by n?
10
Suppose 1 = n, s - n - n - 28 = 0. Calculate the remainder when 238 is divided by s.
28
Suppose -2*n = 2 - 22. Let r be (n/30)/((-1)/3). Calculate the remainder when r*3 + 256/4 is divided by 16.
13
Let b = -1000 - -1381. What is the remainder when b is divided by 99?
84
What is the remainder when 191 is divided by ((3 - 8) + 0)/1 + 88?
25
Suppose 5*l - m - 31 = m, m = -3*l + 12. Let f = 11 + 187. Suppose -8*w + 17*w = f. What is the remainder when w is divided by l?
2
Let s = -515 + 528. What is the remainder when 89 is divided by s?
11
Let k(b) = b**3 - 7*b**2 + 2*b + 5. What is the remainder when 4/5 + (-6588)/(-90) is divided by k(7)?
17
Suppose -900 + 7620 = 15*r. What is the remainder when r is divided by 75?
73
Suppose 18*p - 23*p - 1256 = -4*h, -2*h - 4*p = -628. Calculate the remainder when h is divided by 46.
38
Let k(p) = 3*p + 6*p + 7 - 8*p. Let w be k(-5). Suppose 2*y - 40 = w*v, 8*v - 5*v + 40 = 2*y. What is the remainder when 39 is divided by y?
19
Suppose -180 = -4*d - 5*a + 150, 5*d = -5*a + 410. Let w = -54 - -81. What is the remainder when d is divided by w?
26
Let m = -72 + 111. Let j = -30 + m. What is the remainder when 13 is divided by j?
4
Let w(x) = x**2 - 16*x + 42. Let i be w(9). Let r be (-1)/1*-2 + 26. Let p = r + i. Calculate the remainder when p is divided by 2.
1
Let o be (-2*15/6)/(-1). Suppose -38 = 3*g - o*g. What is the remainder when 73 is divided by g?
16
Suppose -3*v = -5*v + 16. Let o(d) = 29*d + 10. Let j be o(-2). What is the remainder when (j/6)/((-8)/20) is divided by v?
4
What is the remainder when 54 is divided by 15 + (-8)/(-2) - (-1 - -4)?
6
Suppose -301 = -4*o - n, -3*o = -5*n - 55 - 142. What is the remainder when 440 is divided by o?
70
Suppose -5*q + 143 = -0*r - 3*r, -4*r + 24 = q. Suppose w + w = 200. What is the remainder when w is divided by q?
16
Let r(p) = -3*p. Let a be r(2). What is the remainder when (3 + -1)*(-2 + (46 - 16)) is divided by (1 + 1)*(-57)/a?
18
Suppose -2*j - 3*v + 18 = -j, -4*v - 54 = -3*j. Calculate the remainder when 1166 is divided by j.
14
Let n(t) = 9*t + 7. Let r be n(-3). Let y = r + 239. Suppose 0 = 5*m - 41 - y. What is the remainder when m is divided by 11?
8
Suppose 166 = 5*h + 2*t, 4*h - 62 = 2*h - 3*t. Let n = 348 + -342. What is the remainder when h is divided by n?
4
Suppose -5*h + s = -116, h - 4 = -22*s + 27*s. What is the remainder when (900/10)/(-1 - -2) is divided by h?
18
Suppose 3*k - 2