e -6*f = -7*f + c. What is the remainder when 37 is divided by f?
7
Suppose -69*u = -2*m - 65*u + 84, -2*u = 4*m - 188. What is the remainder when 89 is divided by m?
43
Let l(g) = g**2 + 19*g + 185. Calculate the remainder when l(-19) is divided by 338/7 + 2/(-7).
41
Suppose 0 = -23*l + 958 + 422. What is the remainder when (-642)/2*(-20)/l is divided by 18?
17
Let t be -2*(-3)/(-9) - (-465)/9. Suppose t*i - 47*i = 220. What is the remainder when 109 is divided by i?
54
Suppose 0 = -3*m - 3*f + 252, 0 = 5*f - 3 + 13. Let c = m - 68. Let r = 13 + -6. What is the remainder when c is divided by r?
4
Let i be ((-141)/15 - -13)/((-6)/(-20)). Let s(a) = 21*a - 222. Calculate the remainder when 117 is divided by s(i).
27
What is the remainder when (-3)/(48/1304)*-6 is divided by 39?
21
Let b(v) be the second derivative of v**4/12 - v**3/2 - v**2/2 - 2*v. Let c be b(5). What is the remainder when (c - 9) + (-24)/(-1) is divided by 14?
10
Let l = 25 + -18. Suppose -6*m - 2*w + 406 = -7*m, 5*m + 4*w = -2072. Let h = m + 419. Calculate the remainder when l is divided by h.
0
Let w(g) = 12*g**2 + 4*g - 3. Let y = -26161 - -26201. Calculate the remainder when w(-5) is divided by y.
37
Suppose -3*i - i + 268 = 0. Let n = i - 47. Let y = -4 + n. Calculate the remainder when y is divided by 6.
4
Let s(k) = -2*k**2 + 4*k + 9. Let n(f) = -8*f**2 + 21*f + 46. Let c(j) = 2*n(j) - 11*s(j). What is the remainder when 952 is divided by c(-3)?
51
Let x = -1002 - -1905. Calculate the remainder when x is divided by 8.
7
Suppose 37*f + 4*f - 64739 = 0. What is the remainder when f is divided by 17?
15
Let m(q) = -3*q**2 + 68*q + 26. Suppose -17*u + 396 = 5*u. Calculate the remainder when m(u) is divided by 70.
68
Suppose r + 5*a - 771 = 0, -2*a - 1268 = -3*r + 1062. Calculate the remainder when r is divided by 254.
14
Let w = 4 + 35. Let v be (-2)/6 - (-52)/w. Calculate the remainder when ((-165)/(-45))/(v/18) is divided by 17.
15
Let b(y) = -35*y + 6*y + 2 + 1 + 3. What is the remainder when 66 is divided by b(-1)?
31
Let k = 3865 - 3752. Calculate the remainder when 345 is divided by k.
6
Suppose -2*w + 276 = -2*t, 80 + 624 = -5*t - 2*w. Let l = 477 + t. Calculate the remainder when l is divided by 68.
65
Suppose 18*p = -558 + 1656. Calculate the remainder when 3534 is divided by p.
57
Suppose 9*a = -26*a + 490 + 1085. Calculate the remainder when 1084 is divided by a.
4
Let f = -20 - -22. Suppose f*h = -2*h - m + 6, 5*m + 16 = 3*h. Suppose h*t - 10 = 52. Calculate the remainder when 61 is divided by t.
30
Calculate the remainder when -1 - (-11 + 4 + -156 - 6) is divided by 36.
24
Suppose -7425 = 34*p - 22244 - 4527. What is the remainder when p is divided by 64?
57
Let u be (6 - -61) + (-3 - -2). Calculate the remainder when 65 is divided by (-12)/u*1 - (-796)/22.
29
Let u = -9715 + 10185. Calculate the remainder when 1248 is divided by u.
308
Suppose -126*g + 27520 + 173072 = 0. What is the remainder when g is divided by 5?
2
Suppose 176 = -j - 2*b, -j - 113 = -4*b + 39. Let z = 188 + j. Calculate the remainder when 63 is divided by z.
3
Suppose 2*j = 5*j + 6. Suppose 313*r - 560*r + 2717 = 0. What is the remainder when 29 - (3/(-1) - j) is divided by r?
8
Let k be (134/(-8) - (-12)/(-4))*-4. Let c(q) = -2*q**2 + 2*q + 3. Let h be c(3). Let z = k - h. What is the remainder when z is divided by 30?
28
Suppose 12076 = 54*m - 2180. What is the remainder when 2629 is divided by m?
253
Suppose m + 1362 = 2*k, 5*k - 5*m - 3982 = -562. Calculate the remainder when 685 is divided by k.
7
Suppose 2*c + 0*c = 10. Suppose 3478*l - 3490*l + 4764 = 0. Let i = l + -355. Calculate the remainder when i is divided by c.
2
Let r = 169 - 167. Suppose -y + 3*y = r*d + 340, -1 = -d. What is the remainder when y is divided by 58?
55
Suppose 89*a - 12005 = -205*a + 8575. Calculate the remainder when 456 is divided by a.
36
Suppose -3284 - 23556 = -671*s. Let n(r) = 43*r - 3. What is the remainder when n(3) is divided by s?
6
Let r(k) = -1444*k + 49. Let a be r(-4). Suppose 0 = -27*b - 182 + a. What is the remainder when b is divided by 53?
50
Let y be 34 - -6*(2 - (-24)/(-9)). Suppose -362*j - y = -367*j. Calculate the remainder when 46 is divided by j.
4
What is the remainder when 448 is divided by (-17896)/21*(-4)/8 + (-56)/588?
22
Suppose -3*x + 8 = -7. Suppose x*n - 3 = -o + 1, 0 = -3*o - 2*n + 64. Let w = 25 + o. What is the remainder when w is divided by 9?
4
Let w be -3 + (-1 - 13)*(-1)/2. Let g be 3 - w*(-3)/(-6). Calculate the remainder when ((g - 17)/(-1))/((-7)/(-14)) is divided by 9.
5
Let b be -5*(4/40)/((-3)/36). Let t(q) = 40*q**2 + 2*q - 15. What is the remainder when t(b) is divided by 18?
15
Let p(a) = -1115*a - 6657. What is the remainder when (-3 + 3 - -1)*95 is divided by p(-6)?
29
Suppose 0 = -28*o + 2195 + 717. What is the remainder when o - (7 + (-7 - -2)) is divided by 43?
16
Let r = -243 + 71. Let c = -115 - r. Calculate the remainder when 455 is divided by c.
56
Let j = 30 + 24. Let p = j + -43. Let y = -45 + 83. What is the remainder when y is divided by p?
5
Let l = -44 - -48. Suppose l*b = 11*b. Let k(h) = -h**2 - h + 16. What is the remainder when 47 is divided by k(b)?
15
Let k(r) = r**2 - 38*r + 17 + 59*r - 40*r. Suppose 4*g = 4*f + 100, 4*g = 5*f + 33 + 71. Calculate the remainder when k(22) is divided by g.
20
Let b = 14 - -2. Let t(l) = 5*l - 5*l**2 - l**3 - b*l + 2*l**3 + 3. Calculate the remainder when t(7) is divided by 14.
10
Suppose 2*y - 3*w = -2 + 18, 4*w + 25 = 3*y. Let l = 261 + -251. Suppose 550 = l*b + 12*b. Calculate the remainder when b is divided by y.
3
Suppose -283 + 547 = 33*h. What is the remainder when 773 is divided by h?
5
Let w(f) = 223*f - 2418. Calculate the remainder when 2413 is divided by w(11).
33
Let g(h) = -410*h - 7. Let p be g(-1). Let a = p - 377. What is the remainder when 387 is divided by a?
23
Suppose y = -2*u + 3*y + 26, 4*y + 19 = u. Suppose u*c = 7*c + 280. Let o = c - 59. What is the remainder when 30 is divided by o?
8
Let y(q) = -229*q - 417. Calculate the remainder when 71 is divided by y(-2).
30
Calculate the remainder when 1 - -153 - (-747)/83 is divided by 10.
3
Suppose 0 = 2*o, 2*l + l = -2*o - 18. Let q(h) = -19*h - 105. Calculate the remainder when 30 is divided by q(l).
3
Let f = 172 + -80. Suppose -2*c - f = -688. What is the remainder when c is divided by 23?
22
Let b(o) = 37*o - 34*o + 15*o**2 - 10 - o**3 - 14*o**2. What is the remainder when 70 is divided by b(-3)?
2
Suppose -32*g = 2*i - 35*g - 1201, i + 5*g - 659 = 0. Calculate the remainder when i is divided by 54.
20
Let t(r) = -r + 1. Let g be t(-2). Suppose 47 = -l - g. Let k = l - -69. What is the remainder when k is divided by 7?
5
Suppose 5*n + 83 - 233 = 0. Let t(h) = -15*h + 4. Let o be t(2). Let d = o + n. Calculate the remainder when 9 is divided by d.
1
Suppose 0 = 4*l - l + 30. Let o be 14/21 - l/3. Suppose b = -o*n + 226, 3*b + 0*b = -2*n + 108. What is the remainder when n is divided by 29?
28
Let n(a) = a**2 - 7*a + 3. Let z = 43 + -36. Let j be n(z). Let i(h) = 2*h**2 - 4*h + 1. What is the remainder when i(j) is divided by 2?
1
Let l(u) = -4*u - 18. Let j be l(-2). Let m = 21 + j. Calculate the remainder when 96 is divided by m.
8
Let a(t) = -2*t**2 - 8*t + 123. What is the remainder when 54 is divided by a(-9)?
21
Let y be 20/3*27/6. Let b = -201 + 201. Suppose b = -3*z - 9 + y. Calculate the remainder when 11 is divided by z.
4
Let p = -201 - -201. Suppose p*w + 2*m - 1078 = -2*w, w = 4*m + 529. Calculate the remainder when w is divided by 60.
57
Suppose -75 = 3*s - 8*s - 2*q, -3*s + q = -34. Suppose 0 = -9*h + s + 5. What is the remainder when 63 is divided by 11 + h + 0/9?
11
Suppose -5*n - 260 = -3*h, 3*n - 54 + 138 = h. Let i = -44 - -75. What is the remainder when h is divided by i?
28
Let k(g) = -163*g + 137. Calculate the remainder when k(-4) is divided by 17.
7
Suppose -14051*m + 11886 = -14009*m. Calculate the remainder when m is divided by 56 + 1/(-1 + 2).
55
Let k be (-4)/2 + -5 + 6. Calculate the remainder when (5 - 6)/(0 - k/(-103)) is divided by 38.
27
Suppose 135 = 2*p + t, 5*p + 4*t = p + 272. Let f = p + -59. Let n = 18 - f. What is the remainder when 36 is divided by n?
6
Let d = 225 - 226. What is the r