-b + 12 = -4*m, 0 = i*m - 0 - 2. Suppose -3*t = -b - 89. What is the remainder when t is divided by 12?
11
Suppose 53 + 122 = 5*k. Let h = k - 12. Calculate the remainder when 1320/35 - (-5)/((-105)/(-6)) is divided by h.
15
Let o(d) = d**3 - 2*d**2 + d + 38. Let q be (-10)/((-30)/(-9)) - -3. Calculate the remainder when 90 is divided by o(q).
14
Let z be (34/12 - 34/(-51))*-14. Calculate the remainder when 145 is divided by 6/(-6 - 0)*z.
47
Suppose -u - 4*l + 9*l + 56 = 0, 3*u - 104 = -l. Suppose -u*p + 38*p = -16. Calculate the remainder when 93 is divided by 24/(1/p*-6).
29
Suppose -v + 4 = 1. Suppose r - 2*m - 21 = -m, -v*m - 80 = -4*r. Suppose 3*o + o - 144 = 0. Calculate the remainder when o is divided by r.
2
Suppose 0 = -a - 16*j + 11*j + 2, -3*a + 45 = 2*j. What is the remainder when 1955 is divided by a?
0
Suppose 0 = -2*f + 80 + 22. Let s = -7084 - -7273. What is the remainder when s is divided by f?
36
Let k = -225 + 233. Suppose 81*q - 82*q = -k. Let a(y) = y**2 - y - 1. Calculate the remainder when a(6) is divided by q.
5
Calculate the remainder when 385 is divided by (-11)/(1573/550)*-13.
35
Let n be ((-90)/(-27))/((-4)/(-6)). Suppose -2*z = -n*z + 24. Let f(r) = 3*r**3 - 61*r**2 + 25*r + 74. Calculate the remainder when f(20) is divided by z.
6
Let j(o) = 5*o - 58. Let p be j(12). Calculate the remainder when 53 is divided by (p + 0)*(5/2 + 3).
9
Let u(o) = 6*o**2 - 77*o + 173. Calculate the remainder when u(17) is divided by 19.
9
Suppose -10*i + 46 = -34. Calculate the remainder when 28*(4/i + 8) is divided by 11.
7
Let r(d) = 11*d**2 + 5*d + 4. Let v = -7847 - -8109. Calculate the remainder when v is divided by r(-3).
86
Suppose 3*w - 368 = s, -15*s + 20*s = -4*w + 497. What is the remainder when 638 is divided by w?
23
Let p = -131 - -134. Let o be 6 - ((-12)/(-5) - p/(-5)). What is the remainder when 66 is divided by (0 - o - 20)/(-1)?
20
Suppose 8*f = 13*f - 25. Suppose c - 4 = f*c. What is the remainder when (-27)/(-24)*-2*108/c is divided by 49?
47
Suppose -a + 15*h = -112, 0 = 3*a + 5*h - 53 - 83. What is the remainder when a is divided by 2?
0
Let z = -1449 - -1545. What is the remainder when 114 is divided by z?
18
Let k(f) = 337*f**2 + 6*f - 5. Suppose 3*s + p = -0 + 2, s = -2*p - 1. What is the remainder when k(s) is divided by 38?
34
Suppose -4*r - 59126 = -31*r - 20*r. Calculate the remainder when r is divided by 23.
16
Suppose 10*k + 7 = 3*k. Let q = 15 - k. Let g = q - -10. Calculate the remainder when g is divided by 7.
5
Suppose 2*s + q = 74 - 413, 0 = -4*s + q - 681. Let u = 173 + s. What is the remainder when 16 is divided by u?
1
Let y(m) = -3*m + 1. Let l be -2 + (-1 - 0) + -1. Let t(z) = -z**2 - 11*z + 66. What is the remainder when t(-14) is divided by y(l)?
11
Let c(z) = z**2 - 19*z - 277. What is the remainder when c(-17) is divided by 12?
11
Let c(y) = y + 32. Let x = -104 + 77. Let m be c(x). Suppose 0 = -3*v + m*u + 73, 8*v + 2*u = 4*v + 106. What is the remainder when 127 is divided by v?
23
Suppose 0 = 2*m + s - 181, 0*m - 3*m - 4*s + 279 = 0. Let g = m - 69. What is the remainder when 28 is divided by g?
8
Let w(f) = f - 3. Suppose 140*j + 2*z - 80 = 136*j, -85 = -5*j - 5*z. Calculate the remainder when j is divided by w(9).
5
Let s(b) = 2*b**2 + 26*b - 80. Let p be 4*(1 - 0) + -1. Calculate the remainder when 66*(1 - (-1)/(-3)) is divided by s(p).
12
Suppose 12*f + 370 = 1234. Let c = 89 - f. Let t(j) = -j**3 + 16*j**2 + 18*j - 2. Calculate the remainder when 118 is divided by t(c).
13
Suppose -4*f + 2363 + 1457 = 0. Suppose -106 = -f*a + 953*a. What is the remainder when 176 is divided by a?
17
Suppose -21*p - 5*c = -584 + 490, -3*c + 10 = p. Calculate the remainder when ((-1)/(-2))/((-2)/(-116)) is divided by p.
1
Let i = -15 - -11. Let o(z) = -10*z - 4. Suppose -5*t + 8*t = 3*l + 24, -4*t - 3*l = -46. What is the remainder when o(i) is divided by t?
6
Let c(k) = -k**3 - 6*k**2 + 2*k - 10. Suppose -110 = -5*u - 15*t + 16*t, 0 = -5*u + 5*t + 130. Calculate the remainder when c(-8) is divided by u.
18
Suppose 60*c = 17463 + 9657. Calculate the remainder when c is divided by 52.
36
Let p be (-24)/10*(-10)/2. Suppose 4*y - 92 = p. Calculate the remainder when y is divided by (-5 - -18) + (0 - -1).
12
Let w be (-5268)/(-7) - 13/((-1001)/(-44)). Let m = -713 + w. What is the remainder when 73 is divided by m?
34
Let o(f) = -f**3 - 11*f**2 - 25*f - 8. Let t be o(-8). Suppose 5*v + 3*d - 681 = t, -2*d + 891 - 207 = 5*v. What is the remainder when v is divided by 30?
18
Suppose -o - 3*w + 2 - 9 = 0, 0 = 5*w + 10. What is the remainder when 15 is divided by (-126)/90*(o - 4)?
1
Let n(s) = -s**3 - 10*s**2 - 10*s - 91. Let h(t) = -t**2 - 29*t - 12. Let m be h(-29). What is the remainder when n(m) is divided by 27?
20
Let a = -7 + 5. Let l(x) = x + 34. Let p(r) = 17. Let w(n) = a*l(n) + 5*p(n). What is the remainder when 16 is divided by w(7)?
1
Let v be (-35)/25*-5 + -1. Let c be (-15)/((6/(-46))/3). Suppose -v*w + c = -w. What is the remainder when w is divided by 24?
21
Let p(t) = 36*t + 1. Let d(q) = 39*q + 212. Let l be d(-15). Let z = l + 383. Calculate the remainder when p(1) is divided by z.
7
Let c be -1 + -1 - (-1502 + (2 - -2)). Calculate the remainder when 87 is divided by 18/4*c/306.
21
Let o = -5376 + 5489. What is the remainder when o is divided by 17?
11
Let q be (0 + -600)*21/42. Let i = 427 + q. Calculate the remainder when i is divided by 32.
31
Let u = 11 + -1. Suppose -13*m = -341 - 166. Calculate the remainder when m is divided by u.
9
Let f(z) = 5*z - 7. Let d be f(2). Suppose 0 = -3*l + y + 213, d*y + 4 = -l + 65. What is the remainder when l is divided by 36?
34
Let g be (12*(-6)/16)/(3/(-4)). Suppose -g*u + 287 = u. What is the remainder when 120 is divided by u?
38
Suppose b - 21 = -2*b. Let a = b - -2. Let g(s) = -191*s - 557. Calculate the remainder when g(-3) is divided by a.
7
Let i = 2924 + -2835. What is the remainder when 710 is divided by i?
87
Suppose 0 = -3*k - 3*q + 1431, 5*q - 6*q = -2*k + 945. What is the remainder when k is divided by 54?
42
Let x = -4283 - -4292. Suppose -16 = 5*v - 3*v. Let q = v - -19. What is the remainder when q is divided by x?
2
Suppose 3*u + 0*u - 252 = 0. Suppose -c = -u + 19. Calculate the remainder when c is divided by 1 - ((-32)/5)/(15*28/1050).
14
Suppose 4*i - 112 = 2*j, -2*j - 14 = -i + 14. Calculate the remainder when i is divided by 17.
11
Suppose 2*l + 4*p = 316, 5*p + 0*p = 2*l - 289. Suppose -4*o = -0*o - l. Suppose b = o - 26. What is the remainder when 44 is divided by b?
8
Suppose -13*l + 880 - 22 = 0. Calculate the remainder when 309 is divided by l.
45
Suppose -3*p + 4 = 10, -4*c + 5*p = -66. Let b = 339 - 271. What is the remainder when (b/(-8) - -8)*(1 + -105) is divided by c?
10
Let v(c) = c**3 - 8*c**2 + 8*c + 5. Let d be 9/1 + (-9)/6*2. Let w be v(d). Let u = w - -30. Calculate the remainder when 41 is divided by u.
8
Suppose 0 = 21*t - 331 - 383. Suppose 0 = -26*c + 24*c + t. Calculate the remainder when 81 is divided by c.
13
Suppose 12*y - 3149 = 4015. What is the remainder when y is divided by 298?
1
Suppose -3*t + 6 + 81 = 0. Suppose 3*k = -0*k + 300. Suppose -k + 705 = 11*y. What is the remainder when y is divided by t?
26
Suppose -93 = 5*o - 73, -m - 5*o = -177. Suppose -3*p = -5*w - 84, 0*w - 93 = -3*p + 2*w. Calculate the remainder when m is divided by p.
32
Let m = 977 + -574. Let z = 422 - m. Calculate the remainder when 37 is divided by z.
18
Let q = -148 + 143. Let r(m) = 2*m + 16. Calculate the remainder when 22 is divided by r(q).
4
Suppose y - 1 = 0, 5*y - 275 = a - 2*a. Let g = 279 - a. Calculate the remainder when 133 is divided by g.
7
Let y(v) be the second derivative of v**3/3 + 21*v**2/2 - 3*v + 12. Calculate the remainder when y(3) is divided by 5.
2
Suppose -q - 4*h = -103, 3*q + 13*h = 10*h + 345. What is the remainder when 1184 is divided by q?
113
Suppose -42*u + 40*u - 44 = 0. Let l = u + 79. Calculate the remainder when l is divided by 22.
13
Suppose 44*p - 284 = 40*p. Let l = p - 10. What is the remainder when (6 - 3 - 122)*-1 is divided by l?
58
Let u = -9241 + 9271. What is the remainder when 688 is divided by u?
28
Let k = -7231 - -7281. Calculate the remainder when 1797 is divided