. What is the remainder when n is divided by y?
8
Suppose 4012 = -11*g + 734. Let u = 327 + g. What is the remainder when 113 is divided by u?
26
Let h = 666 + -441. Suppose 5*y + 2*g = 20 + 205, -5*y + 4*g = -h. Suppose -y*j = -50*j + 70. Calculate the remainder when 39 is divided by j.
11
Let d be -1 + (1 - 0) + 4. Suppose -m - 4*n - 7 = 0, -2*m + d = n - 17. What is the remainder when (270/81)/(1/15) is divided by m?
11
Suppose -34061*i + 34072*i - 55 = 0. Suppose 0 = -4*a + 2*a + 20. What is the remainder when a is divided by i?
0
Let t = 51 - -7. Suppose 88 = s - t. What is the remainder when s is divided by 21?
20
Suppose -131*g + 64 = -130*g. Calculate the remainder when 692 is divided by g.
52
Let h(p) = -36*p**3 + 27*p**3 - 1 - 2 + 0*p - 2*p. Calculate the remainder when h(-2) is divided by (-112)/(-3) + (-25)/75.
36
Let i = -11 - -15. Suppose -4*d + 140 = -5*m, -i*d - 2*m = 3*m - 140. What is the remainder when 383 is divided by d?
33
Let c = 144 + -105. Suppose 29*f = c*f - 2200. What is the remainder when f is divided by 13?
12
Suppose -3*j = -8*j - 35. Let l = 19 + j. Suppose 4*z - 9 = 123. Calculate the remainder when z is divided by l.
9
Suppose 2*f + 14 = 62. Suppose -54 = 1783831*u - 1783837*u. Calculate the remainder when f is divided by u.
6
Suppose 2*d - 3*w - 160 = 0, 3*d + 3*w + 326 = 7*d. Let q = 136 - 41. Calculate the remainder when d is divided by 1625/q + (-22)/209.
15
Suppose -23*h + 293 + 190 = 0. Suppose h*n + 5*v = 26*n - 80, 5*v + 52 = 3*n. Calculate the remainder when 16 is divided by n.
2
Suppose -97*m + 261737 + 97767 = -12976. What is the remainder when m is divided by 167?
166
Let y be (-6)/4*76/57*-16. Suppose 104 + y = l. Calculate the remainder when l is divided by 10.
6
Suppose 5*q + 410 = -2*f, 29 = 2*q - 4*f + 169. Let u = 123 + q. Let k(m) = m**2 + 4*m - 12. What is the remainder when u is divided by k(-7)?
7
Let c = -171 + 171. Suppose c = 28*k - 17*k - 902. Calculate the remainder when 236 is divided by k.
72
Suppose -v + 0*v + 10 = 0. Let o = -1219 - -2085. Let z = -859 + o. What is the remainder when v is divided by z?
3
Calculate the remainder when 290 is divided by 50/10*((-906)/60*-2 + -1).
144
Let r(c) = c**2 - 74*c + 1351. Calculate the remainder when 11177 is divided by r(45).
45
Let f(a) = -181*a + 1823. What is the remainder when 473 is divided by f(10)?
5
Let d be -1 + 1 + (-199 - -2) + 2. Let t = d + 339. Calculate the remainder when t is divided by 50.
44
Suppose 0 = 2*u + 155 - 159. Suppose u*r - 40 - 29 = -3*p, -16 = -p - 3*r. Calculate the remainder when p is divided by 7.
4
Suppose -8*g = -3300 - 1648 + 140. Calculate the remainder when g is divided by 24.
1
Let t = 131 + -116. Let y be 2/(-7) - 32/(-14). Suppose 14 = 2*s - y. What is the remainder when t is divided by s?
7
Suppose 157*c - 1022 = 5886. What is the remainder when 8667 is divided by c?
43
Let c(f) = -f**2 + 129*f - 3948. What is the remainder when 595 is divided by c(53)?
35
Suppose t = 4*t - 42. Suppose 2*a + t*a = 496. Suppose 0 = 6*i - 286 - 446. Calculate the remainder when i is divided by a.
29
Let i(b) = -4*b**2 + 34*b - 10. Let m(f) be the first derivative of f**4/4 + 2*f**3 - 7*f**2/2 + 8*f - 26. What is the remainder when m(-7) is divided by i(8)?
2
Suppose 0 = -5*q + c + 55, 0 = 3*q + 3*c - 2*c - 25. Let k be -1 - (1884/q + (-6)/15). What is the remainder when 4/(-8)*(1 - k/(-3)) is divided by 16?
15
Calculate the remainder when 1176 is divided by (-1310)/80*(-176)/22.
128
Let p(g) = -60*g + 11. Let t be p(0). Suppose -1128 = -t*q - q. What is the remainder when q is divided by 55?
39
Let g(o) = 9*o - 23. Let m = 49 - 44. Suppose -3*k = -7*k + 308. What is the remainder when k is divided by g(m)?
11
Let p(k) = 9*k + 95. Let w = -138 - -129. What is the remainder when 2/(-6) + 416/6 is divided by p(w)?
13
Suppose 0 = 17*u + 2999 - 3390. What is the remainder when 218 is divided by u?
11
Let z be 1*44/6 + (-10)/(-15). What is the remainder when 4 + 153/(-36) - (-202)/z is divided by 15?
10
Suppose 1690 = 9430*z - 9417*z. Calculate the remainder when 515 is divided by z.
125
Suppose w + 25 = -4*d - 10, -5*w = 3*d + 22. What is the remainder when 0 + 5 + (-2079)/d is divided by 7?
5
Let v = -16 - -6. Let j = v - -23. Calculate the remainder when -2*(7 + 348/(-24)) is divided by j.
2
Calculate the remainder when 198 is divided by 392/13 + (33/(-110) - 19/(-130)).
18
Suppose 10 = 5*h, 54 = 4*o + o + 2*h. What is the remainder when ((-103)/(-5))/(2/o) is divided by (-4 + 2/(-4))*-6?
22
Suppose 0 = -7*a - 772 + 310. Let m = a - -81. Let n(t) = t**2 + 5*t - 11. Calculate the remainder when n(-9) is divided by m.
10
Let h = 112 - -32. Suppose -4*z = -8, 5*z - 79 = j - 374. Let o = j - h. What is the remainder when o is divided by 55?
51
Suppose -6 = -2*c - 60. What is the remainder when 157 is divided by c/(-36) - 4/((-32)/26)?
1
Suppose -k = -4*k + 5*k. Suppose 3*z = -c + 16, -5*z - 3*c - c + 36 = k. What is the remainder when 49 is divided by (-681)/(-45) - ((-16)/(-30))/z?
4
Suppose -10*i - 1024 = -12*i. Suppose -i = -3*y + 835. Calculate the remainder when y is divided by 9.
8
Suppose -199*c + 116376 = -43*c. Calculate the remainder when c is divided by 224.
74
Let s(i) = -838*i - 4921. Calculate the remainder when 637 is divided by s(-6).
102
Suppose -3*z - 26*g + 31*g + 1747 = 0, -3*z = g - 1717. Calculate the remainder when z is divided by 9.
7
Let b be (5/(-10))/(2/(-456)). Suppose 8*k + 26 - b = 0. Suppose -u - 4*u = 2*p - 111, -3*p - 2*u + 150 = 0. What is the remainder when p is divided by k?
4
Calculate the remainder when 3647 is divided by (-20532)/2124*(4/6)/((-1)/27).
167
Suppose 3*h + 10*z = 5*z - 28, 4*z + 25 = -5*h. Calculate the remainder when 141 is divided by 4/(-1 + 0) + (9 - h).
3
Suppose 25 = d - 44. Let o = 165 - 166. What is the remainder when d is divided by ((-4)/o)/(16/40)?
9
Suppose 5071*c + 58247 = 5124*c. Calculate the remainder when c is divided by 198.
109
Let f(z) = z**3 + 34*z**2 - 73*z + 47. Let p(q) = q**3 + 20*q**2 + 22*q + 21. Let w be p(-19). What is the remainder when f(w) is divided by 7?
6
Let g(x) = 3*x - 4. Let m be g(7). Let q = -5 + m. Suppose 0 = 3*n + 4*y - 17, -n = -5*y - 0*y - q. Calculate the remainder when 17 is divided by n.
3
Suppose 4*y - 77 + 135 = x, 4*x = -2*y + 124. Calculate the remainder when 61 is divided by x.
27
Suppose -3*v = 971 - 98. What is the remainder when 3*(v/(-9) - 0) is divided by 11?
9
Let d(r) = r**2 + 9*r - 21. Suppose 32*h - 4 = 28*h, -5*b + 2*h + 148 = 0. What is the remainder when d(-17) is divided by b?
25
Suppose y - 108 = h, -8*y + 12*y + h = 452. What is the remainder when y is divided by 1?
0
Calculate the remainder when 1 + 485 - (-13 - -48 - 37) is divided by 51.
29
Suppose 0 = -2*n + 8, -5*g + 3482*n - 3479*n = -663. Let y = 37 - 4. What is the remainder when g is divided by y?
3
Suppose n = -6*c + 2*c + 8, 3*c - 58 = -4*n. Calculate the remainder when 798 is divided by n.
14
Let z(d) = 4*d**2 - 116*d + 2341. Calculate the remainder when z(22) is divided by 24.
21
Let y(s) = -s**3 + 7*s**2 + 107*s - 468. What is the remainder when 1266 is divided by y(4)?
2
Let h(y) = y**2 + 2*y - 3. Suppose 5*n + 3*m = 157 + 238, 5*n - 10*m = 525. What is the remainder when n is divided by h(6)?
40
Let w(q) = 37*q**2 - 49*q + 301. What is the remainder when w(11) is divided by 16?
15
Let w = 38 + 21. Suppose -y = w - 14. Let p = 68 + y. What is the remainder when p is divided by 7?
2
Let n(k) = k**3 - 23*k**2 + 3. Let u be n(23). Suppose 3*w + 0*w = u. Suppose -4*j - 9 = -w, j + 277 = 5*b. Calculate the remainder when b is divided by 19.
17
Suppose -18*j = -625 - 869. Calculate the remainder when 743 is divided by j.
79
Let f = -2617 + 2860. Calculate the remainder when f is divided by 225.
18
Let h be (6/8)/(1/(-104)). Let j = -71 - h. Suppose 228 = j*c - 17. What is the remainder when c is divided by 10?
5
Suppose 6*c = 2*c - 2*b + 488, -4 = -b. Calculate the remainder when c*(2 + (-2)/2 + 0) is divided by (2 - 5) + 11*4.
38
Let x(s) = -87*s + 6 - 8*s + 5*s - 14*s. Let j be x(2). Calculate the remainder when 32 is divided by (-4)/(72/j) + (-8)/36.
10
Let r = 1195 - 1185. What is the remainder when 61 is divided by r?
1
Suppose l - 41 = 