1. Suppose -13*y - 132 = -119. What is the remainder when 21 is divided by (x - (4 + y)) + 12?
5
Let q(s) = 5*s + 6. Let a be q(2). Suppose a*b - 7*b = 180. Calculate the remainder when b is divided by 20.
0
Suppose 4*v - 40 = 5*f + 75, 0 = -f + 1. Let s(l) = l**3 + 40*l**2 + 285*l - 141. Calculate the remainder when v is divided by s(-10).
3
Suppose 1770 = 4*o - 3*h + 717, -1315 = -5*o + 4*h. Calculate the remainder when o is divided by 39.
33
Let k(f) = -3*f**3 - f**2 + 7*f + 7. Let u be k(-1). Suppose 3*v + 42 = 3*d, u*v - 16 = -23*d + 21*d. Calculate the remainder when 604 is divided by d.
10
Suppose -m + 27 - 18 = 0. Suppose -14*z + 130 = -m*z. What is the remainder when z is divided by 12?
2
Let a be (-7)/(14/(-10)) - (-2 - -2). Calculate the remainder when 41 is divided by (a - -1)/(84/364).
15
Suppose -51*a - 2*g - 5658 = -56*a, -5*g + 1137 = a. What is the remainder when a is divided by 2?
0
Suppose -3*h = 2*t + 10, 0 = 3*t - t + 2*h + 8. Let b(m) = m**2 + m - 5. Calculate the remainder when (t + -391)*(-2)/6 is divided by b(-4).
5
Let o = -92 - -439. Let x(s) = -2*s + 12. Calculate the remainder when o is divided by x(3).
5
Let s(y) = 173*y - 1. Let u be s(1). Let q = u + -162. Calculate the remainder when 207 is divided by q.
7
Suppose -f + 62 = 3*f - 2*l, -5*l - 27 = -2*f. Suppose 4*y = f + 40. What is the remainder when 47 is divided by y?
5
Suppose 1166 = 352*g - 330*g. What is the remainder when g is divided by 22?
9
Let g(h) = 2*h + 0 + h + h**2 - 4. What is the remainder when (1/(35/938))/(2/5) is divided by g(-6)?
11
Let i(y) = 4*y + 13. Suppose -16*h + 9 = -55. What is the remainder when i(9) is divided by -1 - 0 - (-26 - 4/h)?
23
Let o(d) = -d**3 - 2*d**2 - 5*d - 4. Let g(f) = 4*f**2 + 37*f - 115. Calculate the remainder when o(-4) is divided by g(-12).
14
Suppose t + 20 = r, -110 = -5*r - 5*t - 0*t. Calculate the remainder when 360 is divided by r.
3
Suppose 13*j + 16*j = 229*j - 1299600. What is the remainder when j is divided by 26?
24
Suppose 2*h - 27 = -7*h. Suppose -h*w - 5*q + 2 = 20, -30 = 5*w + 2*q. Let c = w + 50. What is the remainder when c is divided by 12?
8
Suppose 2*o - 274 = -o - 235. What is the remainder when 1137 is divided by o?
6
Let x = 21315 + -21244. Calculate the remainder when 7307 is divided by x.
65
Suppose 21*x - 10*x - 756 = -43*x. What is the remainder when 70 is divided by x?
0
Suppose 0*r - 2893 = -5*z - r, -5*z + r + 2887 = 0. Calculate the remainder when z is divided by 27.
11
Let q(a) = -1 + 35*a**2 - 19*a**2 - 19*a**2. Let u be q(4). Let b = -37 - u. What is the remainder when 33 is divided by b?
9
Let f = -29 + 87. Suppose 0 = 3*a - a + 2*x - 28, 4*a + 2*x - f = 0. Calculate the remainder when 192 is divided by a.
12
Suppose 0 = 2*b - b - 7*b. Suppose b = -15*p + 11*p + 5*u + 2356, -3*u + 2324 = 4*p. What is the remainder when p is divided by 19?
14
Suppose 4*b = -27*f + 25*f + 16, -5*b - 5*f = -20. Suppose -w + 5*r = 0, -2*w + 25 = -b*r + 7. What is the remainder when 77 is divided by w?
2
Suppose 4*n = 2*n + 36. Let m(i) = 129*i + 104. Let l be m(-1). Let v = l - -91. Calculate the remainder when v is divided by n.
12
Suppose 0 = 51*y - 54*y + 4*w + 12090, 6 = w. Calculate the remainder when y is divided by 20.
18
Let u be (-6)/9 - (-1025)/(-15). Suppose 32 = -2*f - 46. Let l = f - u. What is the remainder when l is divided by 8?
6
Let b = 9 + 3. Let h(p) = 6*p**2 - 2. Let o be (4 - 8)/(3*(-10)/15). Calculate the remainder when h(o) is divided by b.
10
Let t(w) = w**3 - 4*w**2 - 8. Let y be t(4). Let b = 13 + y. Suppose 5*s = 4*u + 55 + 10, -2*s = -3*u - 19. What is the remainder when s is divided by b?
2
Let x be (5/(-15))/((-3)/117) + 1. Suppose 0 = -3*z - 3*a + 72, x*a = -z + 9*a + 28. What is the remainder when 86 is divided by z?
17
Let h be 412/(-14) - ((-18)/(-7) - 3). Let a(x) = -x**2 - 25*x + 121. Calculate the remainder when 23 is divided by a(h).
3
What is the remainder when (-48 + 0)*174/24*-2 is divided by 17?
16
Suppose -4*s = -5*w + 7449, 0 = 3*w + 4*s - 5046 + 551. What is the remainder when w is divided by 11?
8
Let r be (307 + -26)*-1*2. Let s = r + 736. What is the remainder when s is divided by 35?
34
Calculate the remainder when 689 is divided by (-42)/(-18)*(-3774)/(-259).
9
Suppose -29*x + 15*x + 1274 = 0. Suppose -2*d + 372 = 2*d + 2*q, d - x = -q. Calculate the remainder when d is divided by 86.
9
Suppose -3*o + 23077 = -4*z - 11088, 3*z + 22779 = 2*o. Calculate the remainder when o is divided by 207.
201
Let d(k) = 16*k**2 - 276*k + 28. Calculate the remainder when d(28) is divided by 12.
8
Let x(g) = g**3 + 33*g**2 + 29*g + 71. Let h be x(-32). Let c = -115 + h. What is the remainder when c is divided by 9?
7
Suppose 5*w - 2 = 38. Suppose 242 = -4*j + 6*j. Let u = -4 + j. Calculate the remainder when u is divided by w.
5
Let j(p) = p**3 - 3*p**2 - 6*p + 17. Calculate the remainder when 122 is divided by j(5).
11
Calculate the remainder when 557 is divided by (-12 - 2327/(-13)) + 17.
5
What is the remainder when 703 is divided by (-44)/418 + -16*(-1)/(38/62)?
1
Let s be 111/(-185) + (-56)/(-10). Suppose z = 2*c - 0*z - 37, -s*z = -4*c + 89. What is the remainder when 63 is divided by c?
15
Calculate the remainder when ((-10)/(-6))/((-11)/(-1) - (-352030)/(-32007)) is divided by 32.
15
Suppose 0 = z - 5*z. Suppose z = 5*f + 2 + 8, -5*y = -4*f - 353. Suppose 3*l = 3*k + 27, l + 0*k - 4 = -4*k. Calculate the remainder when y is divided by l.
5
Suppose 2464 = 4*c - 5*h, -8*h = -2*c - 4*h + 1238. Let y = c - 600. What is the remainder when 75 is divided by y?
9
Calculate the remainder when (-424)/(-742) + 25146/21 is divided by 11.
10
Suppose -2*w + 4*w - 66 = 0. Let t(h) = -5*h - 12. Let g be t(6). What is the remainder when w is divided by ((-12)/14)/(2/g)?
15
Let f = 2 - -3. Let p = -56625 - -56655. Calculate the remainder when p is divided by f.
0
Let m = 33 + -21. Suppose m*d - 132 = 9*d. Calculate the remainder when d is divided by 33.
11
Let w = 2233 + -828. What is the remainder when w is divided by 67?
65
Suppose 11*x = 15032 + 357. What is the remainder when x is divided by 12?
7
Suppose 2*l - 101*a - 56 = -106*a, -3*a = -3*l + 63. Calculate the remainder when 1767 is divided by l.
19
Suppose 22 - 7 = 3*y, 0 = -4*q + 4*y - 4. Suppose 0 = q*z + 2*n - 30, 40 = -0*z + 5*z + 2*n. What is the remainder when 28 is divided by z?
8
What is the remainder when ((-95)/(-7))/(177/13629) is divided by 26?
5
Let i(a) = -84*a + 8. Let u = 120 - 121. Suppose 0 = 6*l - 116 - 34. Calculate the remainder when i(u) is divided by l.
17
Let z(q) = 9*q**2 - 3*q - 6. Calculate the remainder when z(8) is divided by 111.
102
Let d = 19414 + -18897. What is the remainder when d is divided by 332?
185
Let a(q) = 7*q - 239. Let v be a(0). Let m = v - -248. Suppose x + 23 + 1 = 5*n, 2*n = -x + 11. Calculate the remainder when m is divided by n.
4
Suppose 120*t + 86584 = 752*t. Calculate the remainder when t is divided by 19 + 0 - 2/(-2).
17
Suppose -u + 4*y + 60 = 3*u, -30 = -2*u + 5*y. Calculate the remainder when (-36)/84 - (-1773)/21 is divided by u.
9
What is the remainder when 85 is divided by (-1)/((-5590)/620 - 9/(-1))?
23
Suppose -2*r = 3*a + 48 - 186, r = -a + 70. Calculate the remainder when r is divided by 26.
20
Let n(m) = m**2 - 9*m - 151. Suppose -3*u = -p - 6*u + 6, -3*u - 12 = 0. What is the remainder when 38 is divided by n(p)?
5
Suppose p - 35 = 3*f, 2*p + 3*p - 103 = -3*f. Suppose 8*m - 589 = -p*m. What is the remainder when 61 is divided by m?
4
What is the remainder when 17326 is divided by 22 + 19 + -32 - (7 - 2)?
2
Suppose 12*t - 9 = 9*t. Suppose 7 - 1 = t*c. What is the remainder when (-20)/(-7)*(-1)/(c/(-7)) is divided by 5?
0
Let c(f) = 2*f - 1. Suppose -8*r = -9*r + 2. Let a be c(r). Suppose -a*o + 2*u = -o - 174, o - 81 = 4*u. Calculate the remainder when o is divided by 18.
17
Suppose 3*r - 2*r + 3*p = 3, -3*p + 57 = 4*r. Let c = -591 + 832. Let z = c - 188. Calculate the remainder when z is divided by r.
17
Let j(n) = -29*n**3 - n**2 - n. Let a be j(-1). Let i be (-9)/72 + (-289)/(-8). Let g = i - a. Calculate the remainder when g is divided by 2.
1
Let f(b) = b**3 - 9*b**2 + 4. Let g be f(9). Let h(v) = 9*v - 2. Let q(o) = 17*o - 212. What is the 