 the remainder when s is divided by 9.
8
Suppose -2*x + s + 89 = 8, 0 = 2*x + 3*s - 93. What is the remainder when x is divided by 37?
5
Let d(u) = -18*u - 21*u + 44*u - 112. Calculate the remainder when 22 is divided by d(23).
1
Suppose -5*i + 1095 = 5*f, -3*i + 15*f + 636 = 11*f. What is the remainder when i is divided by 24?
0
Suppose -6*d + 44 = 8. Suppose d + 121 = i. Calculate the remainder when i is divided by (2/(-8))/((-12)/2064).
41
Suppose -5*p = 3*c - 233, -38*p + 43*p - c = 249. Calculate the remainder when 1173 is divided by p.
46
Let g(a) = a**3 + 29*a**2 + 4*a - 12. Let m be g(-29). Let k = m + 199. Calculate the remainder when 138 is divided by k.
67
Let i = -27 + 180. Suppose 0*n + 2*n = 44. Calculate the remainder when i is divided by n.
21
Let g(u) = u**3 + 69*u**2 - 148*u + 75. Calculate the remainder when g(-71) is divided by 27.
15
Let v = 74 - 64. Let i(a) = a**2 + 9*a + 18. Let n be i(-11). Let u = 9 + n. What is the remainder when u is divided by v?
9
Suppose -s = -3*l - 928 - 256, -2386 = -2*s - 3*l. What is the remainder when s is divided by 151?
133
Let s(l) = -l**2 - 15*l - 9. Let f be s(-14). Suppose x - 29 = v, -f*x + x + v = -119. Calculate the remainder when x is divided by 12/((-51)/(-68)*(-4)/(-2)).
6
Let d be 6/(-9)*-5421 - -4. Suppose d = 19*l - l. Calculate the remainder when l is divided by 34.
31
Let u(b) = b**2 + 22*b + 36. Let t be u(-27). Suppose -4*l + 69 = -t. Calculate the remainder when 224 is divided by l.
44
Suppose 4*s + 0*s - 8 = 0. Let g = 22 - 18. Suppose 0 = s*c + 5*p - 47, -g*c + p + 185 = c. What is the remainder when c is divided by 19?
17
Suppose -2*n = 5*d - 140, 354 - 64 = 4*n + 5*d. Let c be n/(-27) - (-2)/(-9). What is the remainder when 24 is divided by 2/c - (-82)/6?
11
Calculate the remainder when 29327 is divided by (-2 - (-76)/(-4))*(-3 + 28/21).
32
Let w = -8399 - -15038. Calculate the remainder when w is divided by 54.
51
Suppose 0*d - 3*d = 12. Let c be (-4)/((-32)/d)*-36. Let j = 11 + c. Calculate the remainder when 84 is divided by j.
26
Let q(b) = b**3 - 10*b**2 - 23*b + 4. Suppose 2*m = -2*r - 3*r + 2, -3*r + 6 = 2*m. Calculate the remainder when q(12) is divided by m.
4
Let j be (-52)/65 + 14/5. Suppose -j*x - 5*a = -58, x + 103 = 6*x + 2*a. Suppose -s + x = 5*t, -9*t = -4*t. Calculate the remainder when 74 is divided by s.
17
Let u = -2928 - -2960. What is the remainder when 140 is divided by u?
12
Let k(d) = -27*d**3 + 62*d**2 + d + 7. Calculate the remainder when k(-2) is divided by 94.
93
Suppose -5156 = -48*w - 1076. What is the remainder when 271 is divided by w - 7/(-2)*(-36)/(-21)?
89
Let v(i) = i - 13. Let c be v(-5). Let h = c + 18. Suppose 0 = 2*z + 4*x - 614, 3*z - 5*x + 328 - 1238 = h. Calculate the remainder when z is divided by 44.
41
Let v = 7601 - 7534. What is the remainder when 535 is divided by v?
66
Suppose 3*j = t - 952, 2*j - 3004 = -3*t - 170. Calculate the remainder when t is divided by 187.
11
Suppose -9*z - 703 = 179. Let x = z + 48. Let v = 55 + x. Calculate the remainder when 12 is divided by v.
2
Let b be ((105/(-20))/7)/((-1)/152). Suppose -q = 2*p - 29 - 1, -b = -4*q - 5*p. Calculate the remainder when q is divided by 5.
1
Suppose -4*v = -2*v - 3*k - 57, -5*k + 57 = 3*v. Calculate the remainder when 93 is divided by v.
21
Let a = 27147 + -25974. Calculate the remainder when a is divided by 581.
11
Let x = -1138 + 1191. Calculate the remainder when 1077 is divided by x.
17
Let b(p) = -p**2 + 8*p - 1. Let v be b(7). Let y be 2/(-2)*v/(-1). Calculate the remainder when 98 is divided by 31 - (-5 - 4/(-8)*y).
32
Suppose -m - 5*z + 114 = 0, -149 - 74 = -3*m + 2*z. Calculate the remainder when 443 is divided by m.
48
Suppose 307*m - 303*m - 28 = 0, m - 1323 = -4*n. Calculate the remainder when n is divided by 44.
21
Suppose z - 4*t - 133 = 150, 3*t - 804 = -3*z. Calculate the remainder when z is divided by 89.
4
Let w = -19817 + 21415. Calculate the remainder when w is divided by 5.
3
Suppose 6*w = 16 + 8. Suppose -5*v + 4*u + 6 = -0, -w*v = -4*u - 4. Suppose v*g - g = 41. What is the remainder when g is divided by 11?
8
Let q(s) = 3*s**2 + 35*s - 15. Let j be q(-12). Let r(i) = 3*i + 14. Calculate the remainder when r(j) is divided by 2.
1
Suppose 0 = 3*y - 4*y + 8. Let p = -272 - -268. What is the remainder when 127 is divided by -56*p/y + 4?
31
Suppose 2*y - 294 = 598. Suppose -y = -5*d - s - s, d = 3*s + 79. Calculate the remainder when 613 is divided by d.
85
Let d be (49340/(-40))/((6/4)/(-3)). Suppose 0 = 39*u - 731 - d. What is the remainder when 92 is divided by u?
10
Let v(c) = 5*c**2 - 8*c + 33. Suppose -o - 3*j = -58, -4*o + 0*j = 4*j - 248. What is the remainder when o is divided by v(3)?
10
Let v(i) = 3*i**2 + 5*i**3 - 5*i - 4 - 2*i**2 - 10 - 3*i**2 + 20. What is the remainder when 164 is divided by v(2)?
24
Suppose -5*h + 66 = -754. What is the remainder when h is divided by 16330/(-3266)*2/((-4)/6)?
14
Let r(y) = -5*y**2 + 77*y + 86. Let q = 145 - -43. Calculate the remainder when q is divided by r(16).
36
Suppose 2*r = -0*r - 4*p + 2, p + 2 = 0. Suppose 1148 = -r*x + 1328. Calculate the remainder when 175 is divided by x.
31
Let k(x) = x**2 - 2*x - 37. Suppose -2*t + 6*t - 24 = 0. Calculate the remainder when k(9) is divided by t.
2
Let g be (-26)/(-143) - 700/(-22). Suppose 6*o + 15 = 645. What is the remainder when o is divided by 9/6*(2 - g/(-2))?
24
Let o(j) = 6*j - 24. Let s(v) = -v**2 + 38*v - 97. What is the remainder when s(24) is divided by o(12)?
47
What is the remainder when (0 - 284)*2277/(-828) is divided by 49?
46
Suppose -7*f + 4*k = -9*f - 10, f - 4*k - 19 = 0. Let m(v) = -8*v**2 + 42*v + 5. What is the remainder when m(f) is divided by 16?
11
What is the remainder when 10271 is divided by ((-148)/2849*-11)/(1/14)?
7
Suppose 4*r - 27 = -191. Let b = r + 61. Calculate the remainder when b is divided by (-18 + -2)*2/(-5).
4
Let u(d) = 4*d**2 - 15*d + 154. Let s be u(15). Suppose s = 17*w - 2095. What is the remainder when w is divided by 18?
10
Let l = -127 + 166. Suppose -24 = -u - 3*p + 7, -5*p - l = -4*u. Calculate the remainder when 63 is divided by u.
15
Let a = 96 + -59. Let r = -14 + 32. What is the remainder when 326/3 + (-12)/r is divided by a?
34
Suppose 5*w - 3 - 2 = 5*z, 7 = 5*z - 2*w. What is the remainder when 110*(z + (-5)/2) is divided by 16?
7
Let m(q) = -q**3 + 16*q**2 + 27*q + 230. Let r = 248 + -142. Let l = r - 71. Calculate the remainder when m(18) is divided by l.
33
Let y be 7 + (16/(-8) - -2). Let v(j) = 129*j + 24. What is the remainder when v(y) is divided by 58?
57
Let g(v) = v**3 + 12*v**2 - 5*v - 38. Let s(l) = -2*l + 32. Let r be s(22). Calculate the remainder when 215 is divided by g(r).
17
Suppose 0 = 3*r - 3, j - 3*r + r - 8 = 0. Suppose w - 179 = -2*t - 26, w = 1. Calculate the remainder when t is divided by j.
6
Let o(b) = b**2 + 5*b - 255. What is the remainder when 4396 is divided by o(14)?
7
Suppose 0 = -2*l - 3*n - n + 2524, 2*n + 10 = 0. What is the remainder when 33 is divided by l/40 - (-4)/20?
1
Suppose -55*v + 18175 = -11745. Calculate the remainder when v is divided by 11.
5
Suppose 0 = -4*b + 266 - 62. Let r = 50 - b. What is the remainder when 30/105 + (r - (-66)/14) is divided by 4?
0
Let c = 8241 - 5392. What is the remainder when c is divided by 10?
9
Suppose -68*s + 180779 + 606797 = 0. Calculate the remainder when s is divided by 16.
14
Suppose -c = 4*c - 305. Let b(t) = 2483*t - 17078. Calculate the remainder when b(7) is divided by c.
59
Suppose -2*d + 3*m = 8*m - 87, -2*m + 198 = 4*d. Calculate the remainder when (-13137)/(-145) + ((-3)/2)/(15/(-4)) is divided by d.
40
Let f be (15/(-6) - -2)*(-11 + 1). Suppose -99 = -f*j - 4*j. Suppose j*m + 162 - 591 = 0. What is the remainder when m is divided by 14?
11
Suppose 232 = 2*p - 2*d, -4*p + 527 = -5*d + 60. Let n = -109 + p. Suppose 48 = n*h - 4*l, 5*h - 39 = -l + 45. What is the remainder when 223 is divided by h?
15
Let p = -4 - -8. Let d = -1834 + 1872. What is the remainder when d is divided by p?
2
Suppose 0 = d - 19 + 54. Let r = d + 23. Let p = 17 + r. What is the remainder when 16 is divided by p?
1
Suppose -5*f + 3*p - 7*p + 1903 = 0, -4*p = -4*f + 1544. Let g = -109 - -144. Calculate the remainder