
7
Let x = 1050 - 953. Calculate the remainder when x is divided by 6.
1
Let q be 72/(-84) + (-34)/(-7). Suppose 0 = 3*x - 2*x - 54. What is the remainder when (x - q) + (-1 - 2) is divided by 12?
11
Let z(u) = 2*u**2 - 2*u - 4. Let p be z(-2). Suppose 5*f - 12 = p. Calculate the remainder when 27 is divided by f.
3
Suppose 3*y + 9 = 0, -9*t + 10*t - 92 = -4*y. Calculate the remainder when t is divided by 52.
0
What is the remainder when (1 - -71)*4/8 is divided by 11?
3
Let q = 0 - -11. Let f(z) = z**2 + 9*z + 8. Let m be f(-11). What is the remainder when (12/2)/(9/m) is divided by q?
9
Let z = 53 + -1. Suppose -34 + z = b. What is the remainder when 63 is divided by b?
9
Suppose -4*w + 108 = 5*a, 2*w - 3*a - 81 = -w. Let t = w - 25. Suppose -29 = -t*p + 53. Calculate the remainder when p is divided by 11.
8
What is the remainder when 150 is divided by ((-66)/(-2))/(-3 - (-150)/40)?
18
Suppose -v = -5*h + 510, h - 61 = 5*v + 65. Suppose 1 = -8*i + 209. Calculate the remainder when h is divided by i.
23
Let n(r) = 159*r**2 + 3*r - 2. What is the remainder when n(1) is divided by 15?
10
Let s = 376 - 174. Suppose 2*p - 4*g = s, 3*p - 4*g - 288 = -3*g. Calculate the remainder when p is divided by 12.
11
Suppose 4*x = 8, 0 = k + x - 10 - 5. Suppose 339 - 1314 = -k*a. What is the remainder when a is divided by 38?
37
What is the remainder when (-3 - 6/3)*(-159)/5 is divided by 32?
31
Calculate the remainder when 103 - (0 + 2)/(8/12) is divided by 29.
13
Suppose 6*h - 2347 = -1009. Calculate the remainder when h is divided by 15.
13
Suppose -2*d - 4*s + 12 = 0, 8 = 2*s + 2*s. Suppose -u - 73 = -2*u - 4*r, -121 = -d*u - 3*r. Calculate the remainder when u is divided by (8/(-10))/(6/(-105)).
11
Let z = -2 + 6. Let s(v) = 12*v**3 - 2*v**2 + 1. Suppose 0 = -2*n - 10 + 12. Calculate the remainder when s(n) is divided by z.
3
Let r(l) = -l**3 - 8*l**2 - 2*l - 2. Let m = -43 - -18. Let w = -33 - m. What is the remainder when 52 is divided by r(w)?
10
Let t(b) = 4*b + 4. Let m be t(-3). Let j = -11 - m. Let i = 17 + j. What is the remainder when 40 is divided by i?
12
Let x = 657 - 638. Let h(p) = 26*p + 1. What is the remainder when h(2) is divided by x?
15
Let i = 2 + 25. Suppose -9*u + 4*u = 0. Suppose -83 = -5*d - 4*v, -5*v = 5*d - u*v - 85. Calculate the remainder when i is divided by d.
12
Suppose -495 = 29*h - 38*h. Calculate the remainder when h is divided by 24.
7
Let w be (-86)/(-14) + 7/(-49). Suppose 4*z = w*z - 34. What is the remainder when 32 is divided by z?
15
Let n = -524 - -915. Calculate the remainder when n is divided by 56.
55
Let h = 1831 + -1810. What is the remainder when 1445 is divided by h?
17
Calculate the remainder when (-10385)/(-55) + (-14)/(-77) is divided by 24.
21
Let q be (-4*(-9)/4)/1. Calculate the remainder when 4*(10/8 - 1)*q is divided by 5.
4
Let w be 0 + ((-406)/14)/(1 - 0). Let c = 38 + w. What is the remainder when 17 is divided by c?
8
Let n(w) = 19*w + 11. What is the remainder when 305 is divided by n(4)?
44
Let b(c) = 2*c**2 + 16*c + 38. What is the remainder when b(-10) is divided by 30?
18
Let k = -987 + 994. Let l(b) = -b**3 - 6*b**2 - 5*b + 4. What is the remainder when l(-6) is divided by k?
6
Suppose -14*w - 4*h = -11*w - 143, -h - 118 = -3*w. Calculate the remainder when 63 is divided by w.
22
Let d = -1 - -5. Suppose d*m = 2*m + 226. Calculate the remainder when m is divided by 29.
26
Suppose -3 = -5*d - 23. Let b = -10 - d. Let u(x) = -x**2 - 8*x + 1. What is the remainder when 24 is divided by u(b)?
11
Let x(f) = -f**2 + 13*f. Let u = -26 - -36. Calculate the remainder when 119 is divided by x(u).
29
Suppose 0 = -l - l + 4. Suppose -6*j - 3*r + 50 = -j, l*r - 45 = -5*j. What is the remainder when j is divided by 4?
3
Suppose 325 = 18*q - 13*q. Calculate the remainder when 111 is divided by q.
46
Suppose 1629*h - 1827 = 1620*h. Calculate the remainder when h is divided by 62.
17
Let q = -278 - -592. Suppose -3*s + 2*n + q = 6*n, 3*n = -3*s + 309. What is the remainder when s is divided by 11?
10
Let b be 3/4 - (-1)/4. Let i = b - 15. What is the remainder when (-1 - 0 - 2)*i is divided by 15?
12
Suppose z + 2*q = 9, 17 = -0*z - 3*z + 5*q. Let f be (-2)/7 + 430/35. Let o = f + z. Calculate the remainder when 49 is divided by o.
10
Suppose -2*k + 134 = -2*c, 0 = k - 3*c - 36 - 23. Calculate the remainder when 424 is divided by k.
69
Let p(z) = -z**3 + 7*z**2 + 9. Let c(d) = -2*d**2 + 30*d - 58. Calculate the remainder when c(10) is divided by p(7).
6
Suppose 2*m + 2*m - 249 = 3*h, 4*m + 2*h - 274 = 0. Let z(u) = -8*u - 71. What is the remainder when m is divided by z(-11)?
15
Suppose 101*p = 111*p - 6290. What is the remainder when p is divided by 105?
104
Let i(c) = -2*c**3 + 29*c**2 + 15*c + 20. What is the remainder when 93 is divided by i(15)?
13
Let n = 99 + -84. What is the remainder when 1587 is divided by n?
12
Let d = 235 + -230. Suppose -5*j - 2*q + 35 = -0*j, 4*q = 3*j - 47. Calculate the remainder when j is divided by d.
4
Suppose 83 = 5*m - 102. What is the remainder when 107 is divided by m?
33
Suppose 5*t + 20 = 120. What is the remainder when (10 - 23/(115/30)) + 53 is divided by t?
17
Suppose 0 = 14*d - 16*d + 444. Let h = -140 + d. What is the remainder when h is divided by 22?
16
Suppose -w = -5*z + 37, w - z = -2*z - 13. Let b be 28 + (-2 + 1)*-2 + 3. Let j = w + b. What is the remainder when 30 is divided by j?
14
Let n(g) = g**3 - 2*g**2 + 3*g - 1. Suppose 21*l = 16*l + 20. Let p be n(l). What is the remainder when (-12)/(-30)*(p + 2) is divided by 5?
3
Suppose -3*d - 24 = -99. Calculate the remainder when d is divided by (-504)/(-35) - 2/5.
11
Suppose 11*w = 15*w - 36. Suppose w*k - 73 = 89. Calculate the remainder when 47 is divided by k.
11
Let o(y) = 30*y + 1. Suppose -d = -5*d + n - 107, 92 = -4*d - 4*n. Let p = -18 - d. Calculate the remainder when o(1) is divided by p.
7
Suppose -l - 6 = -n, 4*n + 2*l - 36 = -0*n. Suppose 3*i - 3*o = 201, 3*o + 5 = n*o. Calculate the remainder when i is divided by 19.
11
Let r(a) = 6*a**2 - 4*a + 7. Let x be r(3). Let d = -34 + x. What is the remainder when d is divided by 6?
3
Suppose 6*w - 2*w = 16. Let r(c) = -c**3 - 8*c**2. Let i be r(-8). Suppose -2*t + v + 13 + 20 = i, t + 3*v = 6. Calculate the remainder when t is divided by w.
3
Calculate the remainder when (0 + (-1348)/18)/(344/(-1548)) is divided by 91.
64
Suppose r = 2*t + 55, 0 = 6*t - t + 5. Let l(s) = s**3 + 5*s**2. Calculate the remainder when r is divided by l(-3).
17
Suppose 0 = -2*o + o + 2. Calculate the remainder when 16 is divided by ((-12)/(-16))/(o/16).
4
Suppose j + 44 = -2*x + 252, 2*j - x = 416. Suppose -5*a + 18*a - j = 0. What is the remainder when 44 is divided by a?
12
Suppose -4*i = -2*i - 12. Let y be 46/(-10) - 6/15. Let v = y + i. What is the remainder when 2 is divided by v?
0
Let u = -2 + -4. Let l(b) = -7*b - 3. Suppose 5*x - 55 = -5*p, 14*x + 23 = 2*p + 17*x. What is the remainder when l(u) is divided by p?
9
Suppose 2*d - 4*p - 1682 = 0, -2521 = -3*d + 2*p + 3*p. Calculate the remainder when d is divided by 15.
12
Suppose 8*z + 10 + 22 = 0. Calculate the remainder when (-116)/(z + 0 + 2) is divided by 15.
13
Let u(s) = -s**3 + 9*s**2 + 19. What is the remainder when 132 is divided by u(9)?
18
Suppose -f - 2*f = -3*l + 516, 0 = -5*l - f + 836. Calculate the remainder when l is divided by 13.
12
Suppose 2*k = 22 + 4. Suppose 0 = 3*v - 36 + 9. Suppose -4*j + 24 = 3*n + v, 5*j = -4*n + 20. Calculate the remainder when k is divided by n.
3
Let o = 36 - 26. Suppose 2*k + 2*t = -0*k + 92, 4*k - 5*t = 211. Let c = o + k. Calculate the remainder when c is divided by 20.
19
Suppose 3*o - 2*y + 0 = 9, 0 = -3*o - 5*y + 9. Suppose -2*h - 135 = -5*b + 3*h, 0 = -o*b - 4*h + 53. Calculate the remainder when b is divided by 6.
5
Let s = 2494 - 1992. Calculate the remainder when s is divided by 23.
19
Let v = -111 - -93. What is the remainder when 87 is divided by ((-6)/v)/((-2)/(-270))?
42
Suppose -5*t = 5*c - 100, -26*t + 4*c = -21*t - 82. Let n(b) = b**2 - b - 8. What is the remainder when n(7) is divided by t?
16
Let t(l) = -l**2 + 25*l - 37. Let n be (-5)/10*(-46)/1. Calculate the remainder when t(n) is divided by 3.
0
Let h = -7484 - -7498. Let n = 36 - -9.