
What is the remainder when 93/(-15)*(-1 - 24) is divided by 66?
23
Let v = -46303 - -46324. Let x = 130 - 58. Calculate the remainder when x is divided by v.
9
Suppose 327 = 5*m - f - 368, -278 = -2*m - 4*f. What is the remainder when 276 is divided by m?
137
Calculate the remainder when ((-171)/(-54) - 3)*(-84288)/(-8) is divided by 297.
271
Let q = -771 + 788. Suppose 0 = 4*m - q*f + 22*f - 3981, 5*f - 2992 = -3*m. Calculate the remainder when m is divided by 55.
54
Let p(m) = -8*m - 22. Let k = 36 + -21. Suppose -k - 9 = -4*f. What is the remainder when p(-4) is divided by f?
4
Let w be 9204/27 + 2/18. Suppose -3*d = -w - 43. What is the remainder when d is divided by 65?
63
Let l be (-4)/(-5)*-10*(-3)/12. Suppose -3*z + 56 = -2*w - 3, 0 = -z + l*w + 13. What is the remainder when 79 is divided by z?
10
Suppose 2*s - 501*i + 506*i = 3890, -4*i + 7780 = 4*s. Calculate the remainder when s is divided by 645.
10
Suppose -2*v + 18 - 8 = 0. Let b be ((-5)/(25/(-14)))/(1/v). Let y = 19 - b. What is the remainder when 24 is divided by y?
4
Let y(r) = 2*r**3 - 53*r**2 - 33*r + 204. Calculate the remainder when 626 is divided by y(27).
38
Let i = 633 + -417. Let o = i - 78. What is the remainder when o is divided by 71?
67
Suppose 0 = 5*i + 25, -3*i + 0*i - 130 = -5*d. Let t = d - 47. Let z = t - -45. Calculate the remainder when 38 is divided by z.
17
Suppose -5*t + 31 + 469 = 0. Calculate the remainder when 1499 is divided by t.
99
Let c(l) = -l**3 - 5*l**2 + l - 3. Let x = 437 + -444. What is the remainder when c(x) is divided by 46?
42
Let a = -4432 - -5594. What is the remainder when a is divided by 192?
10
Let t(x) = -1 + 4*x + 16 + 5*x + 10*x. Let f be t(-5). Calculate the remainder when f/(-5)*1/2 is divided by 6.
2
Suppose 5*i = -25, -3*g + 70 = -8*g + 5*i. Let w = 32 + g. Suppose 0 = y - 2*v - 109 + 57 + 55, y - v = 0. What is the remainder when w is divided by y?
1
Let r = 120 - 61. Suppose -i - 4*z = r - 143, 4*z + 372 = 5*i. What is the remainder when i is divided by 39?
37
Let r(z) = 101*z + 143 - 63 - 72. What is the remainder when r(1) is divided by 16?
13
Let f = 106 - 104. Suppose 76 = f*x - 2. What is the remainder when 59 is divided by -4 - ((-3 - -7 - x) + 1)?
29
Suppose -128*d - 29526 + 248662 = 0. Calculate the remainder when d is divided by 190.
2
Suppose 12 = -11*y + 342. Let z be (-20)/150 - (-64)/y. Let m = 47 - z. What is the remainder when m is divided by 23?
22
Suppose -31064 = -22*g + 15862. What is the remainder when g is divided by 82?
1
Let g(c) = -8*c**2 - 549*c - 122. What is the remainder when g(-67) is divided by 196?
161
Let z(y) = -21*y + 136. Suppose -68 = 2*q - 192. Let h = q - 36. Calculate the remainder when h is divided by z(6).
6
Let h be (-1092)/7 + -7 - -7. Let p = -138 - h. What is the remainder when 25 is divided by p?
7
Suppose a + 1253 = -2*r + 3645, 5*r - 3*a - 6002 = 0. Suppose 254*q = 115*q + 10425. Calculate the remainder when r is divided by q.
73
Let z = 105 + -56. Suppose 6965 = -5*l + 7*y, -4*l + 0*y - 5572 = -4*y. Let g = l - -1635. Calculate the remainder when g is divided by z.
46
Let t = 508 + -440. Suppose t*i + 506 = 70*i. What is the remainder when i is divided by 15?
13
Let h = 3827 + -3803. Calculate the remainder when 3165 is divided by h.
21
Suppose 0 = 24*a - 459 - 693. Calculate the remainder when 3885 is divided by a.
45
Let s be 8721/(-108) - (-6)/8. Let q = -107 + 21. Let f = s - q. Calculate the remainder when 28 is divided by f.
4
Suppose -w - 838 = -3*w. Let x(j) = -j**3 - 70*j**2 - 3*j - 157. Calculate the remainder when w is divided by x(-70).
48
Calculate the remainder when 3032 is divided by (120/16 - 8)*(-148)/2.
35
Let l(a) = a**2 + 103*a + 15. What is the remainder when 686 is divided by l(0)?
11
Suppose -1886 = -6*z - 1712. Calculate the remainder when z is divided by 10.
9
Let z(q) = -7*q + 30. Suppose 0 = -5*f + 2*b - 53, 12*f = 11*f - 5*b - 16. Calculate the remainder when z(f) is divided by 18.
17
Suppose 5*l = 20 + 5. Let s be 0/(-1 - (5 - (-1 + l))). Suppose s = 33*o - 34*o + 4. Calculate the remainder when 4 is divided by o.
0
Suppose -n - 5*u + 9 = 0, -4*n - 5 + 63 = -2*u. Let t be (20/35)/(32/n - 2). Calculate the remainder when 2 is divided by 0 - t*(-1 + 0).
0
Let d = -3244 - -3447. Calculate the remainder when d is divided by 4.
3
Let j = -3 + 7. Suppose 7*z = 8*z - 7. Suppose g - 13 = 5*d, -95 = -5*g + z*d - 12*d. What is the remainder when g is divided by j?
2
Suppose y - 252 = -5*v, -12 - 1 = -v + 2*y. Let s(c) = -40*c - 9. Calculate the remainder when s(-6) is divided by v.
43
Let g be 112 + 69/(34 - 11). Let i be (-33)/(-9) - (-2)/6. Suppose -i*w - w = -z - g, -2*z = w - 34. What is the remainder when w is divided by 9?
6
Let l = -766 + 1021. Let o = 60 + -28. Calculate the remainder when l is divided by o.
31
What is the remainder when 9981 is divided by (1*15)/(-12 + 406/28)?
3
Suppose 2*r - 12 = 3*g - 35, -4 = -g - 3*r. Let v(i) = 7*i + 8*i**2 - 3 - 1 - 9*i**2 - 3. What is the remainder when g is divided by v(5)?
1
Suppose -42 - 35 = -k + 2*o, 2*k = 2*o + 164. Suppose -4*g + 4*j + 124 = -0*j, -j = -3*g + k. What is the remainder when g is divided by 15?
13
Let x = -4157 + 4800. Calculate the remainder when x is divided by 36.
31
Suppose -48*u + 707 - 482 = -783. Let h(z) = z**2 - 4*z + 4. What is the remainder when u is divided by h(6)?
5
Suppose 0 = -3*n - n + 516. Suppose -10904 = -915*u + 27072 + 454. What is the remainder when n is divided by u?
3
Let m(h) = 6*h**2 + 2*h + 1. Suppose 0 = 12*p - 5*p - 266. Suppose -49 = -p*u + 635. Calculate the remainder when m(-4) is divided by u.
17
Let v = -685 - -703. Suppose 44 = 2*o + 8*a - 6*a, -o - 2*a + v = 0. What is the remainder when 190 is divided by o?
8
Calculate the remainder when (34/(-14) + 3)/((-102)/(-35700)) is divided by 3*(-1 - (-112)/6).
41
Calculate the remainder when 5763 is divided by (165/44)/((-9)/(-12)).
3
Let y(t) = -t**2 - 1. Let d(j) = -3*j**2 + 4*j + 2. Let h(i) = -d(i) + 2*y(i). Calculate the remainder when h(10) is divided by ((-45)/(-6))/((-1)/(-2)).
11
Suppose 8*w + w - 170 = 172. Calculate the remainder when w is divided by 21.
17
Let p be (740/74)/(-2*1/(-1)). Calculate the remainder when 5 - (p - (3 + 66)) is divided by 2.
1
Suppose 51*n + 15777 - 17358 = 0. Calculate the remainder when 3927 is divided by n.
21
Suppose 3*v - 279 = -4*f, 4*f + 35 = -5*v + 308. What is the remainder when 1369 is divided by f?
1
Calculate the remainder when ((-908)/8)/((11/154)/(-1 + 0)) is divided by 53.
52
Let o = -11 - -178. Suppose -o = -m + 4*r, -740 = -5*m + 7*r - 6*r. Calculate the remainder when m is divided by 48.
3
Let f = 120 + -56. Let a(v) = -5*v**3 + 3*v**2 + 9*v - 13. Calculate the remainder when a(-4) is divided by f.
63
Let q(t) be the first derivative of -3*t**2 + 7. Let p be q(5). Let l = p - -37. What is the remainder when 15 is divided by l?
1
Suppose 0 = 2*a - 10*a + 40. Suppose x - 31 = -4*l, -6*x - a*l - 25 = -9*x. Suppose -12*q - 123 = -x*q. What is the remainder when q is divided by 11?
8
Let v(u) = 833*u + 4343. What is the remainder when 482 is divided by v(-5)?
126
Suppose 25*v - 97 - 11 = 67. Suppose 3*n = 2*n + 47. Calculate the remainder when n is divided by v.
5
Let d(z) = 2*z - 5. Let h be d(5). Suppose -h*s + 196 - 14 = q, 3*s - 105 = -2*q. What is the remainder when 180 is divided by s?
32
Let c(z) = -2*z + 24. Let j be c(8). Let d(i) = -19*i**2 - 9*i + 7. Let v be d(j). Calculate the remainder when v/(-14)*(-12)/(-9) is divided by 31.
29
Let i = 18 + -30. Let h be (-3 - 10/(-3))/(4/i). Calculate the remainder when 13 is divided by h/((-5)/20) + 4.
5
Suppose -5*f = -20, -4*q + 3*f = -f. Suppose 0 = -4*j + q*b + 276, 2*j - 152 = -b - 4*b. Calculate the remainder when j is divided by 18.
17
Suppose -5*b = 2*w - 18 - 1, -4*w + b = -27. Let z = w + 4. Calculate the remainder when z is divided by 9.
2
Let d(o) = o**2 - o + 119. Let t(s) = -2*s**3 - 35*s**2 + 7*s. Let b be t(-16). Let l = b - -891. What is the remainder when d(0) is divided by l?
9
Let c = -31457 - -31565. Suppose 66 + 14 = 4*k. What is the remainder when c is divided by k?
8
Let f = 7102 + -7088. Calculate the remainder when 164 is divided by f.
10
Suppose 10 - 22 = 3*q. Calculate th