n q is divided by 21.
19
Suppose -2*n - 3*y - 62 = -282, 3*n - 329 = -4*y. What is the remainder when 3214 is divided by n?
4
Suppose -5*w + 5*z + 280 = 0, -104*z + 283 = 5*w - 106*z. Let p(t) = 7*t**2 + t. What is the remainder when w is divided by p(1)?
1
Let d(v) = 28*v**2 + 46 - 40 - 22*v**2 - 6*v. Calculate the remainder when 34 is divided by d(2).
16
Let p = -607 + 855. Calculate the remainder when p is divided by 53.
36
Suppose -2*j + 4*j - 48 = 0. Suppose 0 = -60*i - 585 + 3825. What is the remainder when i is divided by j?
6
Suppose -677*p + 701*p = 31848. Calculate the remainder when p is divided by 111.
106
Let n(t) = -11*t + 1. Let p be n(1). Let d be (288/15)/((-3)/p). Let h = d + -50. Calculate the remainder when 68 is divided by h.
12
Calculate the remainder when 652 is divided by (-14)/(-16)*(18 + (-240)/24).
1
Suppose 2*u = -3*u + 1030. Let s = 23877 + -23866. What is the remainder when u is divided by s?
8
Suppose -24 = -3*o - o. Suppose w = -2*y - 1 - 1, 0 = w - 3*y - 18. Suppose j = 8 - w. What is the remainder when o is divided by j?
0
Let z = 352 - 350. Suppose 5*m - b - 1166 = -3*b, z*m + b = 466. What is the remainder when m is divided by 60?
54
Suppose 4*l = -4*s + 96, -2*l - 93 = -3*s + 2*l. Suppose 24*c = 1529 - 4409. What is the remainder when c/(-21)*84/6 is divided by s?
26
Let t be ((-34)/17)/((-2)/(-535)). Let z = -522 - t. Let x(s) = -16*s - 7. What is the remainder when x(-6) is divided by z?
11
Let w = 511 + -515. What is the remainder when 103 is divided by -26*9/18*w?
51
Suppose -15 = -5*l, 0 = 3*g - 4*g - 6*l + 130. Calculate the remainder when 1342 is divided by g.
110
Let i = 127 - 76. Suppose -4*g + i = 3*l, 3*l + 0 = -5*g + 60. Let d(z) = -z**3 + 4*z**2 + 3*z + 5. Calculate the remainder when d(4) is divided by g.
8
Let j(k) = 8*k**2 - 97*k + 251. Calculate the remainder when 897 is divided by j(3).
1
Let o be 18/(-12)*(-116 - -2). Let x = o + -117. Calculate the remainder when x is divided by 8.
6
Suppose 3*t - 12 = n, n + 3*n + 4 = t. Suppose -64*a + 62*a - 5*y + 139 = n, -4*a + 323 = -5*y. Calculate the remainder when 223 is divided by a.
69
Let y = 38 - 3. Let w = 6219 + -6066. Calculate the remainder when w is divided by y.
13
Let n be 75/10*(109 - 15). Let k = n + -702. Calculate the remainder when 64 is divided by k.
1
Let o = 26 + -17. Let z(a) = -a**2 + 8*a + 3. Let d be z(6). Calculate the remainder when 5/d + 47/3 is divided by o.
7
Suppose 3*y + 13*y = 128. Suppose 1028 = 12*g - y*g. Calculate the remainder when g is divided by 37.
35
Let l(z) = -2*z - 8. Suppose 106*r - 43*r - 28*r - 1085 = 0. What is the remainder when r is divided by l(-6)?
3
Let q(v) = v**2 - 14*v - 25. Suppose 2*z + 33 = -3*i, 4*z - 3*z - 2*i + 6 = 0. What is the remainder when q(z) is divided by 48?
47
Suppose -7*o = -2*o. Suppose o = 5*g - v - 19, 2*g + 3*v = -8 + 2. Calculate the remainder when (8/6)/(38/228) is divided by g.
2
Let b(t) = 2*t**2 - 16*t + 60. Calculate the remainder when 225 is divided by b(7).
41
Let w(m) = 8*m**2 - m - 2. Let c be w(2). Let p be (259/c - 0)/(2/16). Suppose 72*n + 20 = p*n. Calculate the remainder when 89 is divided by n.
9
Let f = -160 + 481. Suppose -4*j = -f - 135. What is the remainder when j is divided by (-112)/126 + 1614/54?
27
What is the remainder when 344 is divided by 126/(-28)*(-22)/18*8?
36
Let o = -176 - -181. Let s(v) = -v**2 + 28*v - 105. Calculate the remainder when 17 is divided by s(o).
7
Suppose -5*n + 0*a = a + 22, 0 = -5*n - 4*a - 28. Let r(g) = g**3 - 16*g + 5. Let p = 19 + -16. Calculate the remainder when r(n) is divided by p.
2
Suppose 5*w = 4*i - 15 + 100, -2*w - 3*i = -57. What is the remainder when (-10)/35 + 688/7 is divided by w?
14
Let i = -162 - -166. Suppose -5*n = 2*a - 275, 0*n + i*n = 4*a + 192. Calculate the remainder when n is divided by 19.
15
Suppose 254*m + 72*m = 24450. Suppose 0 = -4*n - 0*n + 100. Calculate the remainder when m is divided by n.
0
Let g be (-6)/(-1)*-11*-4. Suppose -g = -2*v + 202. What is the remainder when v is divided by 13?
12
Let s(j) = -8*j + 423. Calculate the remainder when 137 is divided by s(45).
11
Let z = 41 - 52. Let n(b) = -2*b**2 - 24*b - 16. Let j be n(z). Suppose -j*d = -3*d - 48. What is the remainder when 27 is divided by d?
11
Suppose 14*f - 242 = -2*t + 13*f, 4*f = 0. Calculate the remainder when 238 is divided by t.
117
What is the remainder when 409 is divided by (39 + -1)/((-3)/9*9/(-21))?
143
Let v = 103 + -51. Let z = v - 24. Suppose 4*y - 44 = 4*p + z, 3*y + 5*p - 14 = 0. Calculate the remainder when 25 is divided by y.
12
Let z = -1239 - -1265. Calculate the remainder when z is divided by 56/(-12)*(-3)/2.
5
What is the remainder when 738 + (-7)/((-1 + -1)/(-2)) is divided by 21?
17
Suppose 3*f - b + 766 = 0, -9*b - 1305 = 5*f - 5*b. Let j = -247 - f. What is the remainder when 48 is divided by j?
8
Let p = 452 - 429. Let d(i) = -2*i**2 + 45*i + 30. Calculate the remainder when 131 is divided by d(p).
5
Suppose b - 28 = -3*b. Suppose -2*k - m = -0*k - 4, 4*k + 5*m - 8 = 0. Let s(c) = -11*c + 47. Calculate the remainder when s(k) is divided by b.
4
Suppose 7*u - 15 = -1366. Let w = -78 - u. Suppose 11 = j - 2. Calculate the remainder when w is divided by j.
11
Suppose -15*l = -531*l + 218784. Calculate the remainder when l is divided by 219.
205
Suppose -3*h + 12 = 0, -3*s = -3*h - 68 + 50. Suppose 5*q - 97 = w + 148, 3*w = q - 35. Calculate the remainder when q is divided by s.
0
Suppose q + q + 3*z + 3 = 0, -z = -3*q + 12. Suppose 3*k - 25 = -q*b - 2*k, -2*k = 2*b - 14. What is the remainder when 10 is divided by b?
0
Let f(r) = -r + 7. Let z be f(7). Suppose -27 = -3*b - z*b. Suppose 2*t = 17 + b. Calculate the remainder when 50 is divided by t.
11
Let v(o) = -19*o + 36*o - 21*o + 2. Let c be v(-8). Suppose 4*g - c = -3*w + 33, -15 = 3*g. What is the remainder when 231 is divided by w?
28
What is the remainder when 1306 is divided by (-531)/(-2) + -3 + 3 - 483/966?
246
Suppose 0 = 4*g - 4*n + 2144, -n - 881 - 707 = 3*g. Let f = 537 + g. Calculate the remainder when 137 is divided by f.
5
Let y(q) = -q**2 + 7*q - 8. Let f be y(3). Suppose -334 = -f*h - 62. What is the remainder when h is divided by 12?
8
Let r = -825 + 857. Calculate the remainder when 166 is divided by r.
6
Let n = -49 - -49. Let s(b) = -8*b + 7. What is the remainder when 11 is divided by s(n)?
4
Calculate the remainder when (4 - (-1326)/24) + (-2)/8 is divided by (352/24)/(12/18).
15
Let h(z) = 6*z**2 + 38*z + 30. What is the remainder when h(6) is divided by 42?
12
Let x = 35 - 21. Let p = 64 + -359. Let h = 348 + p. Calculate the remainder when h is divided by x.
11
Suppose 4*f = 20, 4*a + 12*f = 10*f + 766. Let m = -104 - -169. What is the remainder when a is divided by m?
59
Let d = -617 + 870. Suppose -473 = -6*g + d. Suppose l = -0*l + 4*q + g, -3*l + 303 = 3*q. Calculate the remainder when l is divided by 12.
9
Suppose -563 = -2*n + 3*v, 5*n - 13*v = -16*v + 1397. What is the remainder when n/6 - 1/(-3) is divided by 29?
18
Let z(y) = y**2 + 5*y + 8. Suppose -2*b + 4*x = 2*x + 10, -b + 4*x + 1 = 0. Let h be z(b). Suppose h*w + 2 = 23*w. What is the remainder when 5 is divided by w?
1
Let m = -270 - -1037. Suppose -7*q + 2013 = m. Suppose -7*r = -q - 165. Calculate the remainder when 96 is divided by r.
47
Suppose 2*f - 12*a = -8*a + 188, f - 89 = a. Suppose f = 3*q + d, 4*d = -3*q - d + 96. Suppose -2*z + 48 = -58. Calculate the remainder when z is divided by q.
26
What is the remainder when -1390*((-48)/(-108) + 5 + (-535)/90) is divided by 70?
65
Suppose -11*n + 6*n = -60. Let j(g) = 18*g + 635. Calculate the remainder when j(-28) is divided by n.
11
Let h(b) = b**2 - 23*b + 16. Let s(u) = u**3 + 5*u**2 - 11*u - 37. Let m be s(-4). What is the remainder when 221 is divided by h(m)?
13
Let x(a) be the third derivative of 7*a**4/6 - a**3/3 - 9*a**2. Suppose r = 4*f + 30, -f = -2*r + 32 + 7. What is the remainder when x(1) is divided by r?
8
Let o = 124 - -195. Suppose 0 = -4*j - f + o, 3*j + 15*f - 240 = 14*f. What is the remainder when j is divided by 25?
4
Let h(m) = m**3 - m**2 - 9*m + 2. Let r be h(4). Suppose 4*l + r = 10. What is the remainder when l/1*(0 - 12) + 3 is divided by 6?
3
Let k = 2960 + -2929. Wh