alculate the remainder when 57 + 13 - 4*1 is divided by 35.
31
Let p(a) = a**2 + 14*a + 29. What is the remainder when p(-12) is divided by -14 + 16 - (1 + -1)?
1
Suppose -3*y - 64 = -4*r + 48, 113 = 3*r + 5*y. Suppose 0*o = -o + 122. Calculate the remainder when o is divided by r.
29
Suppose -5*u - 324 = 96. Let p = 107 + u. Calculate the remainder when 42 is divided by p.
19
Let z = -813 + 885. What is the remainder when 137 is divided by z?
65
Suppose -2 = -3*u - 2*l - 4, 4*l + 26 = 5*u. Suppose -3*s + 12 = a, 0 = u*s + a - 2 - 5. What is the remainder when 6/27 - (-212)/18 is divided by s?
2
Let n(m) = -m**2 + 15*m + 41. What is the remainder when 365 is divided by n(15)?
37
Suppose -2*s - 260 = -4*s. Suppose -a = -4*x + s, -3*x - 4*a + 41 = -2*x. Let z(g) = -2*g + 3. Calculate the remainder when x is divided by z(-7).
16
Let y be 3/(-5) - (-12)/20. Suppose 2*r + 2 = 0, -5*u = -y*u - r - 56. Calculate the remainder when 37 is divided by u.
4
Suppose -3*x + 52 = -4*m, -2*x - 2*m + 4 = 3*m. What is the remainder when (-149)/(-7) + 4/(-14) is divided by x?
9
Suppose q = -25*q + 286. What is the remainder when q is divided by 6?
5
Let g be (-3)/(-1) + 2 + -2. Let c = 7 + 6. Suppose -4*b = -g*v + c, -3*b - 20 = -4*v + b. Calculate the remainder when 19 is divided by v.
5
Let o = -171 + 323. Calculate the remainder when o is divided by 63.
26
Let l = -114 + 171. Calculate the remainder when l is divided by (12 - 4 - -22) + (-1)/1.
28
Let w be 28/2 - (1/(-1) - 1). Suppose -5*g + 25 = 4*y, 0*y - w = g + 5*y. What is the remainder when 14 is divided by g?
5
Suppose 5*q = 49 + 296. Calculate the remainder when q is divided by (-4 - (1 + -2)) + 17/1.
13
Suppose 5*r - 89 = -g - 15, 454 = 5*g + 4*r. Calculate the remainder when 174 is divided by g.
80
Let a(q) = -20*q + 92. Calculate the remainder when 136 is divided by a(1).
64
Suppose 0 = 8*c - 2184 + 184. Suppose -7*g = -c - 282. What is the remainder when g is divided by 26?
24
Suppose -588 = -8*r + 820. Calculate the remainder when r is divided by 36.
32
Suppose -39*c + 0 = -663. Calculate the remainder when c is divided by 4.
1
Let m(i) = 5*i + 1. Let v(j) = 4*j - 4. Let r be v(2). Suppose -r*g + 5*x = -115, 3*g + x = -0*x + 91. Calculate the remainder when g is divided by m(2).
8
Suppose 6*d - 8*d + 230 = 0. Suppose 5*s + 9*r - d = 6*r, -4*s + 109 = -r. What is the remainder when s is divided by 5?
1
Let v(f) = -f**3 + 11*f**2 - f + 10. Let h be v(11). Let w be -1 + h + 0 - -114. Let a = w - 37. What is the remainder when a is divided by 26?
23
Calculate the remainder when (-30)/(-40)*124 - 3 is divided by 65.
25
Suppose 34*r = 815 + 307. Calculate the remainder when r is divided by 4.
1
Suppose -3*w + 116 = w. Calculate the remainder when -4 - ((6 - 14) + -50) is divided by w.
25
Let c(y) = y**2 + y + 2. Let z be c(0). Suppose -3*m = -4*q + 7, 0*q - 5 = -2*q + m. Let i = q + z. What is the remainder when 16 is divided by i?
4
Suppose -2*x - 178 = 4*y - 4*x, -4*x = 4. What is the remainder when 39 is divided by ((-4)/6)/((-222)/y + -5)?
9
Let u be (3 - -1 - 1) + -26. Let l = u - -23. Suppose 5*z - 20 - 10 = l. Calculate the remainder when 17 is divided by z.
5
Suppose -4*h - 76 = -4*v, -4*h - 35 = -v + h. Let b be (5/3)/(5/v). What is the remainder when 41*(-1)/b*-5 is divided by 21?
20
Suppose 13*u - 611 = -143. What is the remainder when 211 is divided by u?
31
Suppose 2*m + 7 = 27. Let q be (3/6*1)/(2/316). Let h = q + -62. Calculate the remainder when h is divided by m.
7
Let t = 110 - 71. Let h = -53 + 56. Suppose 0 = -h*f + i - 4*i + 78, 5*f - 3*i - 90 = 0. Calculate the remainder when t is divided by f.
18
Suppose -101 = 62*r - 1155. Calculate the remainder when 508 is divided by r.
15
Let o = -511 + 531. What is the remainder when 48 is divided by o?
8
Let f be (0/2)/4 - -12. Suppose -k + 2*u + 6 = -3*u, -u = 2*k - f. Suppose -3*p + 0*p = -k. Calculate the remainder when 3 is divided by p.
1
Suppose 4*y - 40 = 2*y. Let s be 33 + 7 + 0/(-1). Calculate the remainder when 2390/s + (-3)/4 is divided by y.
19
Let w(b) = b**2 + 4*b - 17. Let x be w(-6). Let i = 28 + x. Suppose -s + 0*s + 13 = 0. What is the remainder when i is divided by s?
10
Let l(t) = t**3 + 6*t**2 + 2. Let k be l(-6). Suppose -k = -m + 4. Let a = -30 - -52. What is the remainder when a is divided by m?
4
Suppose 44*v = 6*v + 152. Calculate the remainder when 145 is divided by v.
1
Suppose -10 - 100 = -j - 2*d, 3*j - 330 = 3*d. What is the remainder when 1428 is divided by j?
108
Suppose -3*m - 2*w = -1, m - 7 = w - 0. Suppose -m = 3*a, -i = 3*i + a - 31. Suppose 14 = -0*z + z. What is the remainder when z is divided by i?
6
Suppose 2*g - 5 = 4*c - 61, -5*c - 3*g + 81 = 0. What is the remainder when 23 is divided by c?
8
Suppose -4*w = -4*h - 24, -h - 2*w + 3 = -0*w. Calculate the remainder when 56/12*h/(-2) is divided by 2.
1
Let i(k) = -9*k - 8. Let c be i(4). Let t = c - -47. What is the remainder when 18 is divided by t?
0
Let p(k) = -k**3 + 4*k**2 + 4. Calculate the remainder when (-35)/5 + (39 - 0/(-8)) is divided by p(3).
6
Suppose s - 17*u + 22*u = 46, 0 = 2*s + u - 56. What is the remainder when 91 is divided by s?
13
Let z = 3132 + -3059. What is the remainder when 289 is divided by z?
70
Let n(u) = u - 3. Let t be n(2). Suppose -4*r + 62 = f, -2*f + r + 133 = -0*r. What is the remainder when f is divided by 17 + 0 - (t + 1)?
15
Let m = -348 - -242. Let t = m + 125. What is the remainder when t is divided by 7?
5
Let o(h) = 33*h + 12. Calculate the remainder when o(6) is divided by 53.
51
Suppose 0 = 8*q - 272 + 88. Calculate the remainder when 505 is divided by q.
22
Suppose -5*r - 4*u = -16, 6*r - 11 = 4*r + 3*u. Calculate the remainder when 9/12 - (-165)/r is divided by 11.
9
What is the remainder when 86 is divided by -2 + 15 - (119 - 126)?
6
Let o be (-3 - (-3 + 0))/3. Suppose o*k + 18 = k. What is the remainder when 35 is divided by k?
17
Let y = 7 - -2. Suppose 0 = 5*x - 96 - y. Calculate the remainder when x is divided by (-2)/4 + 100/8.
9
Suppose -268 = -5*m + 2*c - 5*c, m = -c + 54. Calculate the remainder when 129 is divided by m.
23
Let w(k) = 4*k + 194. Calculate the remainder when w(30) is divided by 79.
77
Suppose -5*l + 5*o = -140, 3*l - 7 = -o + 57. What is the remainder when l is divided by 8?
7
Suppose -7*u + 10*u - 4*p = 104, 2*u - 5*p - 67 = 0. Let w = u - 8. Let y(a) = a + 15. What is the remainder when w is divided by y(0)?
13
Let n = -61 + 95. Let j = n - 39. Let y = 20 + j. What is the remainder when 42 is divided by y?
12
Let v be (1 - 0) + (0 - -41). Suppose 4*c = -3*c + v. Calculate the remainder when 10 is divided by c.
4
Suppose -4*u + 2*u = -4*m + 8, 0 = -5*u + m - 20. Let p(h) = -4*h - 11. What is the remainder when 22 is divided by p(u)?
2
Let t = 33 + -27. Suppose 3*d - t = d - 3*y, 3*d = 5*y + 28. Suppose 13*k - 14*k + d = 0. What is the remainder when 17 is divided by k?
5
Let l(m) = 2*m**2 + 13*m + 34. Calculate the remainder when 166 is divided by l(-6).
26
What is the remainder when (-4)/(-2 - -4) - -363 is divided by 13?
10
Suppose 0 = -5*y - 2 + 12. Calculate the remainder when y + 1 + (-4 - -73) is divided by 19.
15
Suppose 2*n - 7 = 3. Suppose 2*p + 48 = 4*p + n*b, -3*b = -5*p + 120. What is the remainder when 99 is divided by p - ((-20)/(-5))/(-4)?
24
Let h be 4 - ((4 - 7) + 3). Let m be 1574/10 + 16/(-40). Suppose -h*z + m + 31 = 0. What is the remainder when z is divided by 17?
13
Suppose 3*u + 786 = 2*z, 0 = 5*z - 5*u - 2160 + 200. Suppose -d - 78 = -a, -5*d + z = a + 4*a. Calculate the remainder when a is divided by 20.
18
Suppose -3*h = -75 - 27. Let y = -216 - -278. Calculate the remainder when y is divided by h.
28
Suppose -10*p = 80 - 610. What is the remainder when p is divided by (-176)/(-10) - (-6)/15?
17
Let s(t) = t**3 - t**2 + 99. What is the remainder when s(0) is divided by (13/4 - 3) + 4554/184?
24
Let l(y) = -y**2 + 11*y - 8. Let n be l(10). Suppose -b + 13 = -2*r - r, -n*b + r + 26 = 0. Calculate the remainder when b is divided by 4.
1
Suppose -12 = -4*j + 40. Suppose 0 = -0*m + 2*m + 64. Calculate the remainder when ((-6)/(-5))/(m/(-1360)) is divided by j.
12
Suppose -2*a + x + 11 = 0, -5*x + 8 - 3 = 2*a. Suppose 4*u + 61 = 3*z, -36 - 71 = -a*z +