ed by 8?
3
Let w = -336 - -183. Calculate the remainder when 42 is divided by (-48)/72*w/6.
8
Let v(y) = -3*y**3 - 179*y**2 + 64*y + 264. Calculate the remainder when 163 is divided by v(-60).
19
Let v(x) = 4*x**2 - 12*x - 14. Suppose -99*q = 157*q - 7168. What is the remainder when v(12) is divided by q?
26
Let f(s) = -138*s**2 - 5*s + 4. Let a be f(1). Let d = 139 + a. Suppose 5*t - 4*u + 15 = d, 0 = t + u - 6. What is the remainder when 8 is divided by t?
0
Suppose 3*t - 133 = 8. Let f = -10531 + 10561. Calculate the remainder when t is divided by f.
17
Let p(j) = j**2 - 61*j + 2118. Calculate the remainder when p(39) is divided by 1257.
3
Suppose -7*o = 19 - 215. Suppose 11*z - 7*z = 4*y - 392, -5*y + 502 = z. What is the remainder when y is divided by o?
16
Suppose 2*v + 9*b - 104 = -12, 0 = -3*v + b + 22. What is the remainder when 4837 is divided by v?
7
Let j = -10 - -11. Let w(h) = -19*h - 4. Let m be w(-1). Let f = m + -13. What is the remainder when f is divided by j?
0
Let v(k) = -k - 30. Let u be v(20). Let z = -5 - u. Let i = 73 - z. What is the remainder when 279 is divided by i?
27
Let n(g) = -119*g + 1810. Calculate the remainder when n(15) is divided by ((-3)/1 - -1) + 15.
12
Let c = 3821 - 3680. What is the remainder when 257 is divided by c?
116
Let u = 9385 - 9332. What is the remainder when u is divided by (-56)/(-6)*(-12)/(-8)?
11
Let c be 20/(-30)*(-2)/(8/18). Suppose -4*h - r + 218 = -c*h, 3*r + 198 = h. What is the remainder when h is divided by 18?
15
Let o(r) = 12*r - 18. Let h(w) = -15*w + 86. Let x be h(6). Let m be o(x). Calculate the remainder when (4/(-6))/(2/m) is divided by 9.
4
Suppose 5*t - i + 14383 = 10*t, -t = -3*i - 2867. What is the remainder when t is divided by 1437?
2
Let h be 3/(-12)*2 + (-622)/(-4). Suppose -6*y + 3*y = -a + 21, -h = -5*a + 5*y. Suppose 0 = -c - 3*c + a. Calculate the remainder when 12 is divided by c.
3
Let k be (-8)/(-32) + 251/4. Suppose -s = -3*b - 2*s + 91, -3*b + 3*s = -87. Let c = k - b. What is the remainder when 62 is divided by c?
29
What is the remainder when (106329/(-335))/(12/(-40)) is divided by 180?
158
Let j = 26597 + -14834. What is the remainder when j is divided by 74?
71
Let i be 12 + -10 - 7*3. Let v = 90 - i. Calculate the remainder when v is divided by 28.
25
Let k(o) = 5*o**3 + 2*o**2 - 11*o - 12. Let a be k(-4). Let u = 291 + a. What is the remainder when 60 is divided by u?
25
Let y(u) = -u**2 - 17*u + 23. Let g be y(-18). Suppose -g*l - 173 = -3*p, -l = -2*p + 92 + 21. What is the remainder when 221 is divided by p?
53
Let j = 21529 + -21154. Calculate the remainder when 386 is divided by j.
11
Let m = -43 - -71. Suppose -5 + 3 = s - 3*b, s + b - 14 = 0. Suppose 0 = -48*t + 47*t + s. What is the remainder when m is divided by t?
8
Suppose 22*n - 20*n + 12 = 0. Calculate the remainder when 6/1 + (93 - n) is divided by 28.
21
Calculate the remainder when 154 is divided by (-3*10/45)/(0 - (-8)/(-36)).
1
Suppose -7 = 2*c + 1, -c + 5 = 3*u. Suppose 0 = -5*h + 3*h - u*h. Suppose h = t - 114 + 70. What is the remainder when t is divided by 15?
14
Let t(w) = -88*w + 20. What is the remainder when t(-5) is divided by 155?
150
Let l(i) = -21*i - 6. Let t be l(-1). Suppose 4*z - z + 4*y = t, -5*z - 3*y = -14. What is the remainder when 20 is divided by z + -1 + 2 + (-7)/(-7)?
2
Suppose -2*b - 4*d - 8 = 0, -4*b - 5*d + 3*d = 40. Calculate the remainder when 54 is divided by b*((-30)/28 - 78/182).
0
Let h = -4104 + 4136. Calculate the remainder when 121 is divided by h.
25
Let f(h) = -19*h - 90. Suppose 491 = 2*a - 1. Calculate the remainder when a is divided by f(-9).
3
Let n(i) = 274*i + 2. Let d be n(1). Suppose -16 = d*c - 280*c. Suppose 5*s = -c*o + 769, s + 5*o = -s + 294. What is the remainder when s is divided by 53?
51
Let b(z) = z**2 + 7*z + 8. Let o be b(-6). Suppose 0 = 5*x + o*a - 7, 3*x + 7*a + 3 = 4*a. Suppose 3*t + 7 = 58. What is the remainder when t is divided by x?
2
Suppose 474 = 5*p - 246. Suppose 3*s - 5*s = -2*n - 56, -5*s + n + p = 0. What is the remainder when s is divided by (6 + (-196)/35)/(2/50)?
9
Suppose 2*w + 15 - 47 = -n, -24 = -n + 2*w. Suppose 18*q = 15*q - 3. Calculate the remainder when n is divided by (-3 + 0 - q) + 23 + -3.
10
Suppose -4*v - 3*i - 277 = 0, 2*v + v = -i - 214. Let s = 104 + v. What is the remainder when 92 is divided by s?
30
Suppose 25 = 5*s, 4*s = -m + s + 54. Suppose -51 = -6*g - 39. What is the remainder when m is divided by g/2 + 58 + -53?
3
Suppose -2*y - p = -6*p - 28, -4*p + 70 = 5*y. Suppose -3 = -i - 0*i + 3*c, 0 = 2*i - 4*c - y. Calculate the remainder when i is divided by 14.
1
Let a(i) = i**3 + 6*i**2 - 33*i - 50. Let x be a(-11). Let b = 500 + x. What is the remainder when b is divided by 22?
10
Suppose -5*g - g = -g. Suppose 0 = -g*l - 7*l + 434. What is the remainder when l is divided by 6?
2
Let x(f) = -f**3 - 9*f**2 + 3*f - 3. Let k be x(-11). Let u be -4 + (-2 - k) + 0. Calculate the remainder when 6/(-21) - u/7 is divided by 16.
14
Let p be (-844)/4 - (-2 + 2). Let o = -126 - p. Let c = -212 + 241. Calculate the remainder when o is divided by c.
27
Let h(r) = -2*r**2 + 38*r - 24. Let p be h(18). Suppose p*y - 19*y = -1939. What is the remainder when y is divided by 40?
37
Let g be (-2)/(-6) + (-525)/9. Let d = -12 - g. Suppose -2*t = -4*w - 72, 3*t = 4*w + 27 + 69. What is the remainder when d is divided by t?
22
Let j be (-4 - 186/(-42)) + (-17366)/14. Let b be (j/50)/((-2)/5). Let r = -29 + b. Calculate the remainder when 197 is divided by r.
32
Suppose 0 = -222*i + 73*i + 6556. What is the remainder when ((-143)/4)/((-2)/8) is divided by i?
11
Let k(h) = -h**3 + 13*h**2 - 22*h + 5. Let o be k(11). Let u(r) = -3*r + 25. What is the remainder when u(o) is divided by 6?
4
Suppose -d - 4*f + 593 = -4*d, -15 = -3*f. Let u = 120 + d. Let s = 100 + u. What is the remainder when 57 is divided by s?
28
Suppose 3*v = 3*q - 4*q - 1, -2*q - 9 = -v. Let d(a) = 4*a**2 - 6*a + 3. What is the remainder when d(q) is divided by 20?
11
Let v(b) = b**2 + 162*b + 479. What is the remainder when v(48) is divided by 165?
164
Let k = 10634 + -8055. Calculate the remainder when k is divided by 89.
87
Suppose 8*a + 8621 - 8749 = 0. Let b = 7 - 11. Let m = b - -13. Calculate the remainder when a is divided by m.
7
What is the remainder when 409 is divided by 19964/992 - 1/8?
9
Let g be -1*141 - (8 + -13). Let q = g - -182. What is the remainder when q is divided by 13?
7
What is the remainder when 588 is divided by 19/(-16)*-114 - (-18)/(-48)?
48
Suppose 6 + 9 = 3*v. Suppose 0 = -j + 4*y + 27, v*j + 4*y - 3*y - 51 = 0. Suppose -7*o = -j*o + 24. Calculate the remainder when 16 is divided by o.
4
Suppose -20*i = -4*t - 22*i + 126, -4*i = -5*t + 151. Calculate the remainder when t is divided by 7.
3
Suppose -4040*q - 506 = -4051*q. What is the remainder when 69 is divided by q?
23
Suppose 9*q + 27 = 126. What is the remainder when (6/(-7))/((-4)/196) is divided by q?
9
Let k be -4*(8/2 - 18 - -3). Suppose 0 = 5*b - 2*n - k, -5*b - 2*n - 2*n = -62. What is the remainder when 78 is divided by b?
8
Suppose -n = 4*g - 7075, 5*g - 32*n + 35*n = 8856. What is the remainder when g is divided by 17?
16
Suppose -7*o - 26 = 2. Let z be 5/(-7) - o/(-14) - -6. Suppose 128 = 4*d + z*t + 28, -d + 5*t + 50 = 0. Calculate the remainder when 118 is divided by d.
28
Suppose 2*w + 10 - 8 = 3*p, 4*p - w = 11. What is the remainder when 140 is divided by p?
0
Suppose 5*d - 5 = 0, -2*q + 2*d + 42 = 2*q. Calculate the remainder when (q + 1)/(11/(-14) - -1) is divided by 6.
2
What is the remainder when 857 is divided by (2 - -14)/((9 + -1)/(1 - -7))?
9
Suppose -i = -5*g + 105, i + 0*i - 95 = -5*g. Let q = 2 - 2. Suppose -4*o - 2*o + 354 = q. Calculate the remainder when o is divided by g.
19
Suppose 5*w - 41 = 1129. Calculate the remainder when w is divided by 59.
57
Let i = -1597 + 1702. Calculate the remainder when i is divided by 9.
6
Let z(c) = -2*c**2 + 33*c - 7. Let k(x) = -x**3 - 23*x**2 - 41*x + 37. Let o be k(-21). Calculate the remainder when 78 is divided by z(o).
6
Let j(c) = -c**2 + 4*c + 116. Suppose 0 = 30*o - 270 - 90. What is the remainder when (-1)/(-2)*(-2 + 80) is divided by j(o)?
19
Suppose 8*r - 58 = -18. Suppose -r*