the remainder when n is divided by a?
12
Suppose -j + 5*k = 3*j - 67, -5*k = -5. Suppose 67 - 197 = -10*n. What is the remainder when ((-17)/(-2))/(3/j) is divided by n?
12
Let l be (-7)/1 - (-1)/(-1). Suppose -a - 4*z = -0*z, -5*a = 4*z - 32. What is the remainder when (-250)/l - 2/a is divided by 8?
7
What is the remainder when 94 is divided by 88/(-28)*(-28)/8?
6
Let j = -236 - -263. Calculate the remainder when 41 is divided by j.
14
Suppose -9*v + 10*v = 60. Calculate the remainder when 69 is divided by v/(-5)*(-15)/12.
9
Suppose 2*s + 3*p = 3*s + 3, 2 = 4*s + 2*p. Suppose s*w + 3*w - 195 = 0. Let k = -2 + 19. Calculate the remainder when w is divided by k.
14
Suppose -2*d + 7*d = 115. Let g be ((-6)/(-4))/(1/(-6)). Calculate the remainder when 15/(1 - (-6)/g) is divided by d.
22
Suppose 421 = 14*m - 1105. What is the remainder when m is divided by 57?
52
Let q(c) = c**3 + 7*c**2 - 7*c + 3. Let b be q(-8). Let p = b + 5. Suppose p = -5*m + 182 - 67. Calculate the remainder when m is divided by 13.
10
Calculate the remainder when 327 is divided by (-66)/6*(-4)/((-4)/(-5)).
52
Suppose p + 2*p - 11 = -j, 0 = j - 2*p - 31. Let b(q) = q**2 - 21*q + 72. What is the remainder when j is divided by b(17)?
3
Let a = 14 + -8. Suppose v - 2*v = 2*z - 29, -z = v - 25. What is the remainder when v is divided by a?
3
Suppose 1016 = 13*d - 921. What is the remainder when d is divided by 53?
43
What is the remainder when (-7)/(-28) - (-105)/28 - -236 is divided by 61?
57
Let j(o) = -o**2 - 4*o. Let r be j(-3). Suppose 0*h - 26 = h + 4*k, 2*k - 36 = r*h. What is the remainder when 11 is divided by (h/3)/(22/(-33))?
4
Suppose 2*a = -a + 21. Suppose a*u - 54 = 142. Calculate the remainder when u is divided by 10.
8
Let z(l) = 2*l**2 - 12*l + 36. What is the remainder when z(7) is divided by 27?
23
What is the remainder when (96/(-18) - -6)/((-2)/(-711)) is divided by 81?
75
Suppose b - 3 = -5*m, 4*b - 6*m + 4*m = 12. Suppose -b*k = -3*g, 3*k = -5*g - 5 + 37. Let i = -781 + 795. Calculate the remainder when i is divided by g.
2
Let k(b) = 0 + 11*b - b**2 - 2 - 6 - 5. Let p be k(7). Let u(s) = 3*s - 27. Calculate the remainder when u(p) is divided by 10.
8
Let k(r) = -3*r - 2. Let i(n) = 0*n**2 + 2 - 2*n + n**2 + 0*n**2 + 29*n**3. What is the remainder when i(1) is divided by k(-6)?
14
Suppose 3*y - 4*t - 74 - 19 = 0, 31 = y + 2*t. Calculate the remainder when 40 is divided by y.
9
Let q = 403 + -383. What is the remainder when 111 is divided by q?
11
Suppose -4*j - 3*b + 170 = 0, 3*j = -0*b - 2*b + 127. What is the remainder when 158 is divided by j?
35
Let d = 36 - 15. What is the remainder when 16/(-4) - (-172)/2 is divided by d?
19
Let u = 738 - 502. Let i = u - 86. What is the remainder when i is divided by 38?
36
Let m = 8 + -48. Let g = 54 + m. Calculate the remainder when 69 is divided by g.
13
Calculate the remainder when (72 + 18/6)/1 is divided by 21.
12
Suppose 3*t + 6 = 5*b, 3*t + 2 = -b - 4. Suppose b*f - 24 = f. Let j = 51 + f. Calculate the remainder when j is divided by 7.
6
Suppose -34 = 2*h - 3*h. Suppose 2*z - 60 = h. Suppose 8*n + 5*g - 85 = 3*n, 2*g = -5*n + 70. What is the remainder when z is divided by n?
11
Suppose -3*n + 2*b = -118, -1 = 4*n + 5*b - 166. What is the remainder when n is divided by 6?
4
Let j = 11 - -17. Suppose -2*q - 3 = k, -k + j = 3*q - 6*k. Let y(a) = 10*a - 1. What is the remainder when 35 is divided by y(q)?
8
Let a = 138 + -116. What is the remainder when 85 is divided by a?
19
Let y be 88*-3*(-6)/8. Let g = 278 - y. Suppose 2*v = -3*x + v + 122, -2*v = 2*x - g. Calculate the remainder when x is divided by 22.
19
Let m(q) = 14*q**3 - 2*q**2 + 1. What is the remainder when 60 is divided by m(1)?
8
Let p be 2 + -10 + (-1 - -2). Let k(u) = -14*u - 57. What is the remainder when 1/((7/(-24))/p) is divided by k(-5)?
11
Suppose -3996 = -3*q - 6*q. What is the remainder when q is divided by 16?
12
Suppose -4*d = -14*d - 860. Let o = 163 + d. What is the remainder when o is divided by 16?
13
Let s = 196 + -126. Suppose 14*p = 4*p + s. What is the remainder when 40 is divided by p?
5
Suppose 722 = -4*r + 978. What is the remainder when 121 is divided by r?
57
Let h = 5 - 2. Suppose 0 = -4*a - 4*o - 17 - h, -5*o = -a + 7. What is the remainder when 11 is divided by 2 + 3*a/(-9)?
2
Suppose 569 = 5*o + 49. Let g = -56 + o. Calculate the remainder when 62 is divided by g/9*(-12)/(-4).
14
Let v = 2787 + -2759. What is the remainder when 412 is divided by v?
20
Let r = 206 - 132. Suppose -r = -2*m - 2. What is the remainder when m is divided by 81/(108/(-12)) + 28?
17
Let w(y) = 3 + 2 - 5 - 4*y - y**2 - 5. Let t be w(-3). Calculate the remainder when 18 is divided by (3 - t)/((-1)/(-2)).
8
Suppose -k + 52 - 6 = 0. Let b = -30 + k. Calculate the remainder when 31 is divided by b.
15
Suppose 5*q + 36 = 51. What is the remainder when 3870/40 - q/4 is divided by 17?
11
Let t(i) = -7*i**3 + 3*i**2 + 3*i + 5. What is the remainder when t(-2) is divided by 24?
19
Suppose x = -3, 125 = 5*r + 10*x - 5*x. Calculate the remainder when 669 is divided by r.
25
Suppose -4*y - 68 = -5*j, -2*j - 2*j + 58 = -5*y. Calculate the remainder when (168/48)/((-1)/(-20)) is divided by j.
10
Let d(i) = -12*i + 42. Calculate the remainder when d(-7) is divided by 26.
22
Let p(m) = -13*m + 36. Let g(u) = 3*u + 13. What is the remainder when p(-5) is divided by g(7)?
33
Calculate the remainder when 291 is divided by 1/2 + 1350/20 + 5.
72
Let s be (3 - 1) + -1 + -2. Let d = 1 - s. Suppose 0 = 3*o + d*l - 48, -4*l - 19 + 97 = 5*o. What is the remainder when 71 is divided by o?
17
Let o(d) = -d**3 + d**2 + 5*d + 2. Suppose -r = 5*q + 10, 0 = q - 3*q - 2*r + 4. What is the remainder when 42 is divided by o(q)?
19
Let i be ((-20)/(-16))/(1/(-4)). Calculate the remainder when 66/121 + (-410)/(-55) is divided by -1*2*i/2.
3
Let q(b) = b - 4. Calculate the remainder when q(14) is divided by 3.
1
Let g(d) = 16*d - 35. Let u(z) = -4*z + 3. Let j be u(-2). What is the remainder when g(j) is divided by 48?
45
Suppose 2*n - 70 = -5*w, 4*w + n - 56 = 4*n. What is the remainder when 503 is divided by w?
13
What is the remainder when ((-74)/222)/(1/(-246)) is divided by 21?
19
What is the remainder when (3/6 - 1)*-114 is divided by ((-27 - -1) + 2)/(-2)?
9
Calculate the remainder when 7/(-2) + (-3)/6 + 1767 is divided by 49.
48
Let v(f) = f**3 - 2*f**2 - 5. Let s be v(3). Suppose -45 = -s*r + 91. What is the remainder when r is divided by 18?
16
Suppose 2*m + 0*m + 2*i + 32 = 0, -i + 17 = -2*m. Let w(s) = -s - 9. Let j be w(m). What is the remainder when 59 is divided by (-111)/(-9) + j/(-6)?
11
Calculate the remainder when ((-240)/(-1))/((-252)/(-672)) is divided by 46.
42
Suppose -104 = -46*o + 45*o. Calculate the remainder when 117 is divided by o.
13
What is the remainder when 305 is divided by (-6)/(-3)*(3 - 2)*14?
25
Suppose -3*o + 4*a = -13, 4*o - 5 = o - 4*a. Suppose 0 = -3*c - 54 + 63. Calculate the remainder when o is divided by c.
0
Let b = 465 - 376. What is the remainder when 177 is divided by b?
88
Suppose 6*p = 1168 - 76. Calculate the remainder when p is divided by 8.
6
Let n(s) = 158*s - 427. What is the remainder when n(3) is divided by (-46)/(-6) + (-2)/3?
5
Suppose 0 = -2*k - 3*b + 51, 2*k - 8*b + 6*b - 56 = 0. What is the remainder when 134 is divided by k?
26
Calculate the remainder when (-5)/((-10)/42)*22/3 is divided by 52.
50
Let r = -10 - -34. Suppose -22*f = -r*f + 22. Calculate the remainder when 24 is divided by f.
2
Let i(k) = 2*k**2 + 5*k + 2. Let f be i(-3). Let s be 4 - (-16 - (1 + -4)). Suppose s + 18 = f*n. What is the remainder when 17 is divided by n?
3
Let z = 4 - -3. Suppose 29 - 8 = 3*n + 5*q, 2*n + q - z = 0. Suppose -v = -3*w - 34, -2*w = n*v + 44 - 144. Calculate the remainder when v is divided by 24.
22
Let c be (-3)/12 - 57/(-4). Let d = 0 + c. Suppose 5*t + d = 6*t. What is the remainder when 54 is divided by t?
12
Suppose 8 = -3*t - 70. Calculate the remainder when t*(3 - (-14)/(-4)) is divided by 8.
5
What is the remainder when (-112 + 15/(-5))/(3/(-27)) is divided by 37?
36
What is the remainder when (463 - 499)/((2/3)/(-2)) is divided by 44?
20
Let r = 326 + -237. Let y = 7 + 11. What is the remainder when r is divid