e -5*u = 2*r - r - 27, i = u - 2*r - 1. What is the remainder when u is divided by 2?
1
Suppose -3*a = 0, 4*a - 18 - 30 = -k. Calculate the remainder when 190 is divided by k.
46
Let h(m) = 21*m - 1. Suppose 2*d + 3 + 1 = 0. Let u = d - -3. What is the remainder when h(u) is divided by 11?
9
Suppose h - 19 = -6. Let f = h + 28. Calculate the remainder when 119 is divided by f.
37
Suppose 86 = 4*o - 94. Calculate the remainder when o is divided by 20.
5
Suppose 0 = 27*z - 29*z + 174. Suppose g - z = -2*g. What is the remainder when 144 is divided by g?
28
Let w = 210 - 189. Calculate the remainder when 37 is divided by w.
16
Suppose -56 = -2*w + 26. Suppose -h = -4*b + 2*h + 53, 3*h + 42 = 3*b. What is the remainder when w is divided by b?
8
Let x(z) = z**2 - 35*z + 176. What is the remainder when x(30) is divided by 3?
2
Suppose 4*z + 24 = -2*g, g - 4*z + 19 = z. Calculate the remainder when 20 is divided by g/(1/(5/(-10))).
6
Suppose -1989 - 711 = -25*l. Calculate the remainder when l is divided by 56.
52
Let l(s) = 6*s**2 + 11*s - 18. Calculate the remainder when l(-5) is divided by 43.
34
Let k(f) = 4*f + 184. Calculate the remainder when 94 is divided by k(-43).
10
Suppose 13 - 18 = -v. Suppose 3*l - 5*z = 13, v*l + 5*z - 46 = -11. Suppose l*o = 4 + 26. Calculate the remainder when 9 is divided by o.
4
Suppose 108 = 4*q - 24. Suppose 3*r - 3*n = 381, -3*n - 637 = -5*r - 0*n. What is the remainder when r is divided by q?
29
Let d = 5 - -27. Let y(i) = -i + 4. Let o be y(2). Suppose o*x = -0*x + 2*b + 12, 5*x - 54 = -3*b. What is the remainder when d is divided by x?
5
Suppose -5*b + 13 = 3*j, -j + 5 = -0*b + 2*b. Suppose 4*a - 2*a = b. Suppose -u = 2*s + 1 - 6, 19 = 5*u + 4*s. What is the remainder when u is divided by a?
0
What is the remainder when 165 - (-18)/(-24)*(-64)/(-12) is divided by 15?
11
Calculate the remainder when 192 is divided by ((1/(-1))/2)/(22/(-264)).
0
Suppose v + 41 = t + 53, -2*v + 4*t = -14. Suppose o - 219 + 35 = 0. Calculate the remainder when o is divided by v.
14
Let o = -69 - -67. What is the remainder when 21 is divided by (-1)/(o/4*8/36)?
3
Let h(i) = 53*i**2 - 5*i - 3. Calculate the remainder when 657 is divided by h(-1).
52
Suppose -822*z = -826*z + 908. Calculate the remainder when z is divided by 26.
19
Suppose -70 - 280 = -25*o. What is the remainder when 67 is divided by o?
11
Let s(d) = -d**3 - 5*d**2 - 10*d + 2. Let g be s(-8). Suppose 6*m - 272 - g = 0. Calculate the remainder when m is divided by 31.
29
Let f(y) = 4*y**2 + 9*y + 18. Calculate the remainder when 215 is divided by f(-5).
69
Let r(s) = 21*s. Let v(l) = 2*l**2 + 3*l + 27 - 25 - l**2 + 5*l**2 + l**3. What is the remainder when r(3) is divided by v(-4)?
19
Suppose -3*s - 3*w - 32 - 25 = 0, 3*s = -4*w - 58. What is the remainder when (-2 + 10)*s/(-8) is divided by 11?
7
Let h(d) = 5*d + 8. Let t be h(-4). What is the remainder when 83 is divided by (42/(-4))/(6/t)?
20
Suppose r - 3*a - 12 = -a, -4*r = 3*a - 48. Let w(u) = 2*u - 7. Calculate the remainder when w(14) is divided by r.
9
Suppose 0 = -3*m - 16 + 52. Let y(x) be the second derivative of x**4/6 + x**3/3 - 13*x**2/2 + 5*x. What is the remainder when y(-6) is divided by m?
11
Suppose -5*d - 51 = -4*j, -d + 5*d + 10 = j. What is the remainder when (-10)/(-115) - 4590/(-115) is divided by j?
12
Suppose -2*k - 3*t = -81, k = -t + 4*t + 45. Calculate the remainder when 248 is divided by k.
38
Let s = 2 + -14. Let v be (8/s)/((-3)/18). Suppose -3*r + v*r = 61. What is the remainder when r is divided by 16?
13
Let n = 43 - 18. Suppose m - 2*c - 46 = 0, 2*m - 6*m + 187 = -5*c. What is the remainder when m is divided by n?
23
Let g be 7 + 0/(-3) - (-1 - -4). Suppose g*u - 8*u = -c + 17, 0 = -2*c + 5*u + 25. What is the remainder when 27 is divided by c?
2
Let t = -1 - -2. Let g = 58 + -57. Calculate the remainder when t is divided by g.
0
Suppose -376 = -30*h + 494. What is the remainder when 153 is divided by h?
8
Suppose 0 = 2*w - 162 + 148. Suppose 0 = -5*u - 2*l + 6, -4*l = -u - l - 9. Suppose 2*v = -u*v + 22. What is the remainder when v is divided by w?
4
Let c = 4 - 5. Let y = c - -1. Suppose 8 = -3*j - 4, y = -k - j + 9. Calculate the remainder when 23 is divided by k.
10
What is the remainder when 30 is divided by (9 + -10)*(-21 + 2 + -2)?
9
Calculate the remainder when 276 is divided by 6 - (-8 + 5 - 62).
63
Let t(i) = 4*i + 80. Calculate the remainder when 69 is divided by t(-11).
33
Suppose -28*q + 3*j - 90 = -29*q, 463 = 5*q + 2*j. Suppose 2*v - l = -4*l + 44, 0 = -5*v + l + 93. Calculate the remainder when q is divided by v.
17
Let u(o) = 3*o**2 - 4*o + 8. Let n be -2 + 3 + (7 - 3). What is the remainder when u(n) is divided by 11?
8
Suppose 0 = -29*m + 26*m + 282. What is the remainder when m is divided by 12?
10
Let f(k) = -5*k - 87. What is the remainder when 363 is divided by f(-20)?
12
Let x(b) = b**3 + 43*b**2 - 12*b - 108. What is the remainder when x(-43) is divided by 21?
9
Let q be (0 + -2)/2 + -78. Let n = 117 + q. Calculate the remainder when n is divided by 10.
8
Suppose -5 = -4*g + 7, -2*j + 3*g + 69 = 0. Calculate the remainder when 1440 is divided by j.
36
Let q be (12 + -2)/(6/(-24)). Let j = q - -57. Calculate the remainder when (65 - 0/1) + 0 is divided by j.
14
What is the remainder when 34/119 - 27/21*-34 is divided by 33?
11
Let q be (-4 - (1 - 1)) + 1. Let p = 8 + q. Let u = 165 - 156. What is the remainder when u is divided by p?
4
Let a(x) = x**2 + 17*x - 17. Let h be a(-14). Let n = h + 102. Let s = n - 32. Calculate the remainder when 41 is divided by s.
8
Suppose 0 = -4*y + 708 - 92. Let n be y/((-7)/((-21)/6)). Calculate the remainder when 72 is divided by n/3 - 4/6.
22
Suppose -44*c + 35*c = -234. Calculate the remainder when 65 is divided by c.
13
Let v = 46 - 46. Suppose 2*y - 2*m - 12 = v, 0 = -7*y + 4*y + m + 24. What is the remainder when y is divided by 8?
1
Let n = 1489 - 1283. What is the remainder when n is divided by 14?
10
Suppose 0 = -5*u + 2*m + 97, -3*u - 3*m + 26 = -28. Suppose 0 = 4*t - t - 18. What is the remainder when u is divided by t?
1
Let h be (-10)/(-4)*(7 - 5). Suppose -3*o + 2*t + 175 = 0, -3*o + 4*t = -h*o + 106. Suppose -o = -3*c + 33. Calculate the remainder when c is divided by 16.
14
Let c = -588 + 651. Calculate the remainder when 182 is divided by c.
56
Suppose 0*s + 210 = 5*s. Let n = -363 - -529. What is the remainder when n is divided by s?
40
Let h = -17 + 22. Suppose 3*w - 5*l + 20 = 0, -2*w + 0*l = -5*l + 20. Let i = 7 + w. Calculate the remainder when i is divided by h.
2
Let n = 243 - 145. Calculate the remainder when (-4)/(-14) + 2324/n is divided by 13.
11
Suppose -48 = 3*s + l + 168, -3 = -l. Let y = -48 - s. What is the remainder when 45 is divided by y?
20
Let l(v) = -6*v - 286. Suppose -2*a - 2*a = -84. Calculate the remainder when l(-58) is divided by a.
20
Suppose 14*z + 37 - 205 = 0. Suppose -2*m - r - r = -148, -4*r - 201 = -3*m. Calculate the remainder when m is divided by z.
11
Let m(l) = -224*l**3 - l**2 + 4*l - 3. Let o be m(1). What is the remainder when 79 is divided by o/(-22) - (-10)/(-55)?
9
Let q(b) = -49*b**3 - 3*b**2 + b + 2. What is the remainder when 180 is divided by q(-1)?
39
Suppose -8 - 76 = -4*y. Let t = 278 + -175. What is the remainder when t is divided by y?
19
Let g = -33 + 68. Suppose 5*o + 0 - g = 0. Let w(a) = 3*a + 13. What is the remainder when w(o) is divided by 7?
6
Let b(t) be the second derivative of -t**5/20 + 2*t**4/3 + 13*t**3/6 - 5*t**2/2 - 3*t. What is the remainder when (160/(-30))/(2/(-36)) - 4 is divided by b(9)?
30
Let q(g) = g**3 + 10*g**2 + g + 4. Let z = 26 - 36. Let d be q(z). Calculate the remainder when (-4)/(-2)*(-141)/d is divided by 12.
11
Let f(k) = 60*k**3 - 2*k**2 - 25*k + 49. What is the remainder when f(2) is divided by 68?
63
Let z = -19 - -19. Let p be 11 - (-1 + z + 4). Suppose 5*f - 63 = -p. What is the remainder when f is divided by 3?
2
Let k(i) = -3*i**3 + i - 4. Calculate the remainder when k(-3) is divided by (-19)/114*42 - 52/(-2).
17
Suppose 0*c = -4*c + 4*r + 80, 0 = 3*r. What is the remainder when 54 is divided by 45/(-10)*c/(-6)?
9
Suppose -432 = -g - 3*h, 5*g - 399 - 1693 = 2*h. Suppose g + 20 = 4*u. What is the remainder 