- 8470 = 0. Suppose 0*a - n = -10*a. Calculate the remainder when a is divided by 41.
39
Let o = -65 + 54. Let f(l) = -3*l + 12. Calculate the remainder when f(o) is divided by (-34)/(-3) - 6/(-9).
9
Suppose 6*v + 30 = 96. Let x(m) = m**3 - 10*m**2 - 7*m + 7. What is the remainder when x(v) is divided by 18?
15
Suppose -3*z - s = -44, 3*z - 72 = -z + 2*s. What is the remainder when 95 is divided by z?
15
Suppose 0*b + 54 = 2*b. Let r = -1038 - -1089. What is the remainder when r is divided by b?
24
Let a = 466 - -20. Calculate the remainder when a is divided by 4.
2
Let h = 312 - 217. Calculate the remainder when h is divided by 27.
14
Let f(c) = c**2 + 3*c + 2. Let a be f(-2). Suppose 16*n - 13*n - 45 = a. Calculate the remainder when 43 is divided by n.
13
Let v be 3/(-6) + (-273)/(-2). Suppose 3*x - v = 71. Suppose o + 30 = x. Calculate the remainder when o is divided by 21.
18
Let w = 9 + -2. Let a = 16 - w. What is the remainder when a is divided by ((2 - 5) + 5)*2?
1
Let g(x) = -7*x + 75. What is the remainder when 448 is divided by g(0)?
73
Suppose 4*x + 12 = -0*x, -72 = -3*k + 3*x. Suppose 668 - 424 = 4*p. What is the remainder when p is divided by k?
19
Let t = 25 + -16. Suppose 2*u - 4 = -3*a, -3*u = 3 - t. Suppose 7*m - 3*m - 68 = a. Calculate the remainder when m is divided by 10.
7
Suppose 0*x = -5*x - 5. Suppose 4*u + 5*k - 109 = 10*k, -5*u = -2*k - 115. Let b = u - x. Calculate the remainder when b is divided by 8.
6
Let q be -1*(1 + -4 + 9/3). Suppose q = -4*h + t + 240, -13*t = 4*h - 12*t - 248. What is the remainder when h is divided by 13?
9
Suppose 0 = -5*j + 9*j - 8. Suppose j*y = 8 + 6. Calculate the remainder when 16 is divided by y.
2
Suppose 2*v = -0*v. Let u = v + 20. Suppose 9 = 2*c - 2*b - 19, c + b = u. Calculate the remainder when 32 is divided by c.
15
Let c(t) = -22*t + 33. What is the remainder when c(-2) is divided by 8?
5
Let x be -6 - -8 - (-6 - -1). Suppose 2*z - x = -3. Suppose 5*v = z*c - 54, -97 = -5*c + v + 2*v. What is the remainder when c is divided by 5?
2
Suppose -4*k + 3*c = 4, 4*c + 0*c = 0. Suppose -x + 10 = v, 4*x - v = v + 22. Calculate the remainder when 3*k/6*-22 is divided by x.
4
Suppose 2*j = -4*t + 81 + 67, 5*t = 3*j + 174. Let q(f) = 130*f**2 - 2*f + 3. Let v be q(1). Let m = v - t. What is the remainder when m is divided by 16?
15
Let q = 17 + -9. Let c be (q/5)/(5/25). What is the remainder when 6 is divided by (0 - c)*6/(-12)?
2
Let q = 264 - 251. Let p(o) = 11*o + 4. Calculate the remainder when p(3) is divided by q.
11
Let h(p) = p**3 - 14*p**2 + 13*p + 10. Calculate the remainder when 86 is divided by h(13).
6
Suppose 0 = -4*v - 3*n + 7 + 2, -5*v + 3*n + 45 = 0. What is the remainder when 70 is divided by v?
4
What is the remainder when 85 is divided by (-4*11/2)/((-24)/12)?
8
Suppose 9 = 4*z + 25. Calculate the remainder when 29 is divided by z - (-4 - -3 - 8).
4
Let j be 29 + (-2 - -4 - 2). Let s(m) = 9*m**2 + 37*m + 2. Let g be s(-5). Let f = g - j. What is the remainder when 51 is divided by f?
12
Let c = 149 - -9. Suppose -58 = -4*g + c. What is the remainder when g is divided by 14?
12
Let l(x) = x + 3. Let m be l(0). What is the remainder when m*(0 + (-35)/(-3)) is divided by 9?
8
Let t(h) = h**3 + 16*h**2 + 23*h + 43. What is the remainder when t(-14) is divided by 29?
26
Let c = -69 + 69. Suppose c = -y - 6*y + 329. Calculate the remainder when y is divided by 8.
7
Suppose 40*b = 35*b. Suppose 3*f = -b*f + 87. Calculate the remainder when 173 is divided by f.
28
Suppose 0 = -4*c - 5*n - 21 - 107, 5*n + 155 = -5*c. Let t = 41 + c. Calculate the remainder when ((-26)/(-3))/((-6)/(-27)) is divided by t.
11
What is the remainder when 184 is divided by (-4)/((-104)/266 + 8/28)?
32
Let p(s) = -s**3 - 5*s**2 - 2*s + 3. Let u(l) = -l**2 - 7*l - 21. Let w be u(-6). Calculate the remainder when ((-1)/(-3))/1 + (-535)/w is divided by p(-5).
10
Suppose 4*d + 19 + 21 = 0. Suppose -9*u = 58 - 211. Calculate the remainder when (-1)/(-5) + (-498)/d is divided by u.
16
Suppose 4*j = -5*u + 85, 38 = u + 5*j - 0*j. What is the remainder when 2909 is divided by u?
10
Suppose 0*w - 5*y - 26 = -w, -4*y = w - 17. Calculate the remainder when 1133 is divided by w.
20
Let j = -550 + 576. Calculate the remainder when 205 is divided by j.
23
Suppose -n = -5*o + 1265, o + 143 - 396 = -4*n. What is the remainder when o is divided by 85?
83
Calculate the remainder when (3 - -6)/(21/161) is divided by 29.
11
Suppose 5*o - 5 = 5. Suppose 5*f = 2*d + 3*d + 110, -o*f = 2*d - 36. Suppose t + 3*v = 8, -32 = 3*t - 7*t + 5*v. What is the remainder when f is divided by t?
4
Suppose 3*h - 29*y + 24*y - 243 = 0, 389 = 5*h - 3*y. What is the remainder when 298 is divided by h?
70
Let r(g) = -9*g - 6. Let v be r(-4). Let m be (1 + 0)/((-10)/v). Calculate the remainder when 78 is divided by 0 + 34 + -4 + m.
24
Let r be (-2)/5 - 2/(40/(-108)). Suppose 5 = r*s, 2*y - 71 = 2*s + 39. What is the remainder when y is divided by 15?
11
Let z = 103 - 58. Calculate the remainder when 88 is divided by z.
43
Calculate the remainder when 841/(-58)*(-2)/(-2)*-6 is divided by 42.
3
Suppose 2*t - 209 = -0*t - w, 5*t + 4*w = 518. Let a = -8 + t. Suppose h = 4*h - 60. What is the remainder when a is divided by h?
18
Suppose -1496 = -24*m + 7*m. Calculate the remainder when m is divided by 5.
3
Suppose 0 = -8*v + 2*v + 30. Suppose y - v = 1. Calculate the remainder when y is divided by 5.
1
Suppose -65*j + 80*j - 285 = 0. Calculate the remainder when j is divided by 5.
4
Suppose -g + 5*s + 13 + 10 = 0, g + s - 11 = 0. Let b(a) = -2*a**3 - 40*a**2 - 3*a - 15. Calculate the remainder when b(-20) is divided by g.
6
Suppose -4*s + p + 209 = 0, 4*s + 3*p + 45 = 234. Calculate the remainder when 150 is divided by s.
48
Let k be 35/(-14) - (-2)/(-4). Let z be ((-1)/3)/(k/(-45)). Let o(x) = -2*x + 7. What is the remainder when 50 is divided by o(z)?
16
Let v(i) = i**2 - 8*i + 5. Let g(r) = r**2 + r + 1. Let s(j) = 2*g(j) - v(j). Suppose 5*l - 240 = -40. What is the remainder when l is divided by s(-12)?
19
Let z = 173 - 70. What is the remainder when z is divided by (-9)/9*78*2/(-6)?
25
Let z(v) = v + 1. Let r be z(5). Suppose r*p - p = 0. Suppose c + 4*k = 3*c - 32, 5*c + k - 36 = p. What is the remainder when 22 is divided by c?
6
Let a be (-2)/((-1)/(78/4)). What is the remainder when (126 - 224)*(-2)/4 is divided by a/(-9)*-3*1?
10
Let j(t) = 9*t - 38. Let b be j(12). Suppose -b - 5 = -5*v. Calculate the remainder when 147 is divided by v.
12
Let j = -3 + -7. Let g = j - -35. Let u = -9 + g. What is the remainder when 93 is divided by u?
13
Let k = 74 - 86. Calculate the remainder when 69 is divided by (0 - 3)/(2/k).
15
Suppose 1577*j = 1571*j + 510. What is the remainder when j is divided by 35?
15
Calculate the remainder when 3 - 380/(0 + -5) is divided by (-48 - -7)/((-1)/1).
38
Let b(n) = 7*n**2 - 3*n + 2. Let g be b(1). Let d(v) = v**2 - 3*v - 2. Calculate the remainder when 61 is divided by d(g).
13
What is the remainder when (-8 - -1 - -5)/((-2)/395) is divided by 16?
11
Let x(a) = -313*a - 427. Calculate the remainder when x(-3) is divided by 43.
39
Suppose 4 - 580 = -4*w. What is the remainder when w is divided by 50?
44
Let y = 92 + -35. Let z = -49 + y. What is the remainder when 10 is divided by z?
2
Suppose -3*q = -6*q + 639. Let y = q + -23. Suppose -5 = -h, -h - 4*h + y = 5*m. Calculate the remainder when m is divided by 18.
15
Suppose 4*i - 123 = -15. Suppose -1 = x - 0. What is the remainder when i is divided by x - (-6 + (-6)/3)?
6
Suppose 4*z - 12 = -2*j, -3*j - 3*z = -j - 11. Suppose -3*i - 222 = -2*l, -j*l = -2*l - 4*i - 218. Calculate the remainder when l is divided by 24.
21
Suppose 45 = 5*q + 4*o, -q - 5*o = 4*q - 50. Suppose -44*p + 5 = -39*p. Let m = p + q. Calculate the remainder when 21 is divided by m.
3
Let b = -907 + 1140. What is the remainder when b is divided by 59?
56
Calculate the remainder when 149 is divided by ((-14)/5)/((-22)/330).
23
Let q = 17 - 7. Suppose -8*w + 7*w = -q. Calculate the remainder when 26 is divided by w.
6
Let s(j) = 8*j + 26. Let g be (72/16)/((-2)/(-8)). What is the remainder when s(g) is divided by 43?
41
Suppose -144*v + 729 = 211 - 1786. Let d(y) = y**3 + 6*y**2 - 4*y +