be z(5). Let u = -183 - -188. What is the remainder when u is divided by m/2 - (-2)/(-4)?
2
Suppose 0 = -2*z + 3 - 13, -5*r = -z - 100. Calculate the remainder when 90 is divided by r.
14
Suppose 5*c - 143 - 224 = 3*d, 343 = 5*c + 3*d. Let m = 52 + -28. What is the remainder when c is divided by m?
23
Suppose 0 = -2*y - h, 5*y = -h + 2*h + 14. Suppose x - 2*x + 3 = 0. Suppose -y*p + x*p = 22. Calculate the remainder when p is divided by 12.
10
Let m = -37 + 36. Let d(a) = -18*a - 5. Calculate the remainder when d(-4) is divided by m*-14*10/16*4.
32
Suppose 2*f + 4*a = -1 + 5, 0 = 5*f - 2*a - 10. Suppose -b + 36 = f*b - 5*t, 3*b - 3*t - 36 = 0. What is the remainder when 20 is divided by b?
8
Let n be (-15)/(-2)*16/20. Suppose 0 = -3*q - 2*d + 70, -2*q - d + 41 = -n. Suppose -4*y = -270 + 82. What is the remainder when y is divided by q?
23
Let c(h) = h**2 + 12*h + 21. Let v be c(-10). Let m(u) = 36*u**3 - u. Calculate the remainder when m(v) is divided by 19.
16
Let u(m) = 4*m**2 + 2*m + 1. Calculate the remainder when 52 is divided by u(-3).
21
Suppose -z - z + 40 = 0. Let q be ((-3)/6)/((-2)/z). Suppose 4*n = q*t - 129, 5*n = t - 4 - 5. What is the remainder when 55 is divided by t?
26
Suppose 18*w = 19*w + 10. Let d(z) = z**3 + 10*z**2 - 6*z - 20. Calculate the remainder when d(w) is divided by 15.
10
Calculate the remainder when 1366/8 + (-8)/64*6 is divided by 63.
44
Let d be 462/(-18) - 2/6. Let u = 38 + d. Calculate the remainder when 45 is divided by u.
9
What is the remainder when (-35)/(-14)*(-6)/(-25)*515 is divided by 39?
36
Let t = -16 + 26. Suppose 5*z - 7 = -3*x + t, 5*z + 4*x - 16 = 0. Calculate the remainder when 6 is divided by z.
2
Let c(m) = m**3 - 12*m**2 + 15*m - 38. Let j be c(11). Let i(u) = -u**2 + 12*u + 11. Calculate the remainder when i(j) is divided by 12.
11
Suppose -26*m = -22*m - 48. What is the remainder when 117 is divided by m?
9
Let i = -12 + 24. Suppose 5*b - 14 = -2*o, -31 = 1080*o - 1083*o - 5*b. What is the remainder when o is divided by i?
5
Let o = 330 - 313. What is the remainder when 56 is divided by o?
5
Suppose 3*j - 1877 + 258 = h, -h + 4 = 0. What is the remainder when j is divided by 8?
5
Suppose 3*o + 2*o = 70. Suppose 23*v = 20*v - 9. Let x = 50 - v. Calculate the remainder when x is divided by o.
11
Let b(l) = -14*l - 5. Let x be b(-2). Suppose 3*j = x + 58. Calculate the remainder when j is divided by 15.
12
Suppose 28*d - 645 = 1035. Calculate the remainder when 418 is divided by d.
58
Let h(t) = 0*t + t - 84*t**2 + 88*t**2. Calculate the remainder when h(-3) is divided by 17.
16
Let c(y) = 9*y**3 + 10*y**2 - 5*y - 24. Let b(k) = -5*k**3 - 5*k**2 + 2*k + 12. Let z(q) = 7*b(q) + 4*c(q). What is the remainder when 35 is divided by z(-5)?
17
Let t be 2976/24 - (-1 - (-1 + -2)). Suppose -b + 26 = -3*y, -t = -3*b - 2*y - 0*y. Calculate the remainder when b is divided by 7.
3
Suppose 4*h = q + 17, 0*h + 9 = -2*q + 3*h. Suppose -q*c - i + 559 = -0*i, -5*c + 934 = 4*i. Calculate the remainder when c is divided by 47.
45
Calculate the remainder when (83 - -1)/(12/(-3) - -5) is divided by 23.
15
Suppose -2*i = 3 - 3. What is the remainder when 96 is divided by i - (-4 + -4 - -4) - -10?
12
Let u = 2023 - 2009. Calculate the remainder when 94 is divided by u.
10
Let y(z) = z**2 + 25*z + 19. What is the remainder when 65 is divided by y(-25)?
8
Let z = -74 + 83. Let s = 15 - z. Calculate the remainder when s is divided by 3.
0
Suppose -122*f = -142*f + 14500. Calculate the remainder when f is divided by 22.
21
Let p(q) = -q**2 + 8*q - 4. Let h be p(6). Calculate the remainder when (-74306)/(-2014) + (-2)/(-19) is divided by (-2)/h - 77/(-4).
18
Let d(b) = -b**3 - b**2 - b + 67. Suppose -26 = 3*p - 131. Calculate the remainder when d(0) is divided by p.
32
Suppose -19*m + 18*m - 4*p = -36, -10 = -5*p. What is the remainder when 79 is divided by m?
23
Suppose 345 = -0*x + 15*x. What is the remainder when 101 is divided by x?
9
Let m = 113 - 103. Calculate the remainder when m is divided by 2.
0
Let l = -3 - -5. Suppose -4*z - 260 = l*s - 7*s, 3*s - 154 = 2*z. Calculate the remainder when s is divided by 25.
23
Let g = -460 + 491. Calculate the remainder when g is divided by 20.
11
Let d = -1 - 9. Calculate the remainder when d/4*(2 + -12) is divided by (-3 - (-35)/5) + 4 + 1.
7
Suppose -8*v + 160 = -16. Calculate the remainder when v is divided by 15.
7
Suppose 2*x = -2*r + 86, 4*r - 144 = 123*x - 120*x. Calculate the remainder when 466 is divided by r.
37
Let g(b) = -b**3 - 4*b**2 + 4*b - 5. Let w be g(-5). What is the remainder when 9 is divided by -2*(w/5 - 4)?
1
Suppose 0 = -3*q + 5*z + 369, 4*q = -5*z + z + 460. Suppose 15*f = -1086 + 1446. Calculate the remainder when q is divided by f.
22
Let b = 4105 - 4094. Let k = 3 - -1. Suppose -j - 38 = -k*j - 5*i, -2*j + i = -47. Calculate the remainder when j is divided by b.
10
Suppose 3*w = -k + 2 + 4, 4*k = 0. Suppose 4*s - 9 = s. Suppose -s*n = 3 - 12. What is the remainder when n is divided by w?
1
Let n = -52 + 56. Suppose -n*o - 27 = -7*o. Suppose 5*b = 3*l - 96, -5*l - b = 3*b - 160. Calculate the remainder when l is divided by o.
5
Suppose -2*d + 0*d = -80. Let i(n) = -n**3 + 7*n**2 + n + 14. What is the remainder when d is divided by i(7)?
19
Suppose 2*t = -3*t - 2*d + 232, 5*t + 3*d - 233 = 0. Suppose 0 = -1526*r + 1518*r + 56. What is the remainder when t is divided by r?
4
Suppose -g - 135 = -5*f + 4*g, -g = -3*f + 85. Let p be 22/18 + (-2)/9. Calculate the remainder when f is divided by ((-16 - 0)/(-2))/p.
5
Suppose 0*s + 2*s - 4 = 0, 5*d = 4*s + 67. Suppose -u - 12 - 1 = 0. Let q = u + 41. What is the remainder when q is divided by d?
13
Suppose -12*z = -17*z + h + 70, -5*z + 70 = -4*h. Calculate the remainder when 797 is divided by z.
13
Suppose 3*p = 584 - 323. Calculate the remainder when p is divided by 33.
21
Suppose 6*v - 51 = 5*v. Let h(t) = -3*t**2 - 2*t + 2. Let a be h(1). Let s(y) = -6*y - 5. What is the remainder when v is divided by s(a)?
12
Suppose -16*j + 17*j = 5. Suppose w - 23 = -3*o - 0*w, j*w - 7 = 3*o. What is the remainder when 17 is divided by o?
5
Let j(z) = 3*z - 5 - 5*z - 3. Let h be j(-8). Suppose 237 = -5*m + h*m. Calculate the remainder when m is divided by 27.
25
Let b be ((-12)/10)/((-3)/10). Let l = -59 + 63. Suppose l*n = -b*u + 59 + 193, -3*n = 5*u - 193. Calculate the remainder when n is divided by 21.
19
Suppose 20*f = 15*f + 45. Suppose -c + 4*c = f. Suppose 4*t = -3*p + 184, -p = -5*p + c*t + 287. What is the remainder when p is divided by 35?
33
Suppose -4*w - d = 4*d - 60, -4*d - 16 = 0. Suppose a + a - 232 = 0. Suppose v = -v + a. What is the remainder when v is divided by w?
18
Let w = -64 - -73. Let l = 27 - w. Let r = 7 + -2. Calculate the remainder when l is divided by r.
3
Let g be ((-2)/2 + 6)*1. Suppose -4*q + g*l = -61, 0 = -6*q + 4*q - l + 13. What is the remainder when 34 is divided by q?
7
Suppose 2*j - 1386 = -3*j - 2*w, -5*j + 5*w = -1400. What is the remainder when 2/(-4)*j*-1 is divided by 28?
27
Let j(s) = s**3 - 13*s**2 + 9*s - 26. Let q be j(12). What is the remainder when 8 is divided by 2/11 + q/(-22)?
2
Let s = -8 + 11. What is the remainder when s is divided by (78/42 - 2)*-7?
0
Suppose -18*v + 589 = -275. Calculate the remainder when 54 is divided by v.
6
Let p = 5 + 3. Let v(c) = 6*c - 3. Let a(s) = -29*s + 15. Let i(l) = 2*a(l) + 11*v(l). What is the remainder when i(3) is divided by p?
5
Suppose 3*f = -5*z + 190, 2*f + 5*z + 170 = 5*f. Calculate the remainder when 477 is divided by f.
57
Let c(k) = -k**2 + 27*k - 16. What is the remainder when 218 is divided by c(26)?
8
Let a be (-12)/20 - 378/(-5). Let y = a + -38. Let t = y - 24. What is the remainder when 50 is divided by t?
11
Let i = 334 + -301. Calculate the remainder when i is divided by 17.
16
Let f(a) = -109*a + 21. Calculate the remainder when f(-2) is divided by 61.
56
Let p be (2*-1*1)/((-98)/147). Suppose -2*c + 12 = -0*c - 2*l, p*l - 37 = -2*c. Calculate the remainder when c is divided by 8.
3
Let t(d) = -d**3 - 2*d**2 - 2*d + 3. Let k be t(2). Let b = -2 - 13. Let m = b - k. What is the remainder when 4 is divided by m?
0
Suppose m + 0*m = 87. Suppose 3*a - 26*v - 22 = -27*v, 0 = -3*a - 5*v + 14. What is the