Let k = 24 - 0. Suppose k = 2*n - o. What is the remainder when 20 is divided by n?
8
Suppose 12*b + 5*v = -244, 3*b - 17*v = -16*v - 70. Suppose -m - 2*m = 3. Let g = m - b. What is the remainder when 80 is divided by g?
17
Suppose -2*z + 526 = -t, -17*t + 1076 = 4*z - 22*t. What is the remainder when 902 is divided by z?
125
Let p(h) = h**2 - 18*h + 34. Let c(d) = -30*d + 3. Calculate the remainder when p(22) is divided by c(-2).
59
Let m = -3127 - -3190. Calculate the remainder when m is divided by 54.
9
Suppose 0*z + 4*z - 5*i - 181 = 0, -z - 5*i + 39 = 0. Let f(l) = 2*l**3 - 47*l**2 - 15*l - 87. Calculate the remainder when f(24) is divided by z.
41
What is the remainder when (-1380)/(-253)*(-154)/(-4) is divided by 32?
18
Calculate the remainder when ((-11 - -20) + 300)/3 is divided by 43.
17
Suppose 4*j + 32 = 3*t, 6*t - 41 = 3*t - 5*j. Let q(o) = -2*o**2 - 8*o + 7. Let x = -78 - -74. What is the remainder when t is divided by q(x)?
5
Suppose 25 - 1 = 4*y. Let c(n) = -n**2 + 14*n - 9. Calculate the remainder when -1278*((-624)/88 - -7) + 2/(-11) is divided by c(y).
38
Suppose -6938 = -65*p + 35476 - 6729. What is the remainder when p is divided by 273?
3
Suppose -3*l + 3*y + 0 = 3, 2*y = 4*l - 6. Suppose -5*h + l*o + 100 = 0, -2*o = 5*h - 148 + 18. Calculate the remainder when h is divided by (8/12)/(12/126).
3
Suppose -4*w + 8 = -5*f - 103, -f = w - 21. What is the remainder when 1173 is divided by w?
21
Suppose 0 = 5*s - 95 - 40. Suppose 13*b + s = 92. Calculate the remainder when 38 is divided by b.
3
Suppose 2*j - 309 = -5*s, -3*j + 438 = -49*s + 48*s. What is the remainder when j is divided by ((-9)/(-3) - 5*-9) + -3?
12
Suppose -4*l - 5*y = -228, 793*l - 4*y = 794*l - 68. Calculate the remainder when 87 is divided by l.
35
Suppose -6*w + 26*w - 5570 = 8610. Calculate the remainder when w is divided by 23.
19
Suppose -11*y + 10*y + 76 = -5*k, -3*y = 8*k - 228. Calculate the remainder when 27510 is divided by y.
74
Let h(c) be the third derivative of -15*c**4/8 - c**3/3 - c**2. Calculate the remainder when h(-3) is divided by 2/(-35) + 7164/420.
14
Suppose 3*z + 4*z - 5737 = -5674. What is the remainder when 852 is divided by z?
6
Let q = 938 - 893. Calculate the remainder when 147 is divided by q.
12
Suppose 192*j = 260*j - 272. Calculate the remainder when 368 is divided by j.
0
Let j = -36 - -49. Let b be (-3097)/(-95) + (-6)/10. Let k = b - -16. Calculate the remainder when k is divided by j.
9
Suppose 0 = -5*j + 3*x + 13, -3*j + 4*x - 26 = -5*j. Suppose j*s - 5*k - 875 = 0, -3*s + 15*k = 17*k - 520. Calculate the remainder when s is divided by 3.
0
Suppose 0 = 9*l - 17*l - 856. Let o = l + 235. What is the remainder when o is divided by 23?
13
Suppose 8*t + 624 = 4*m + 3*t, 5*m - 3*t = 767. Suppose 67 = -3*u + m. What is the remainder when 81 is divided by u?
25
Let l(i) = 2*i**2 + 16*i + 108. What is the remainder when 114 is divided by l(-8)?
6
Let z = -220 + 290. Suppose -u = -5*t + 1746, -t + 2*t = u + 350. Calculate the remainder when t is divided by z.
69
Suppose 14*t - 5382 = -64*t. Let u(q) = 14*q - 2. What is the remainder when t is divided by u(1)?
9
Suppose 22*j - 84 - 158 = 0. Suppose j*o - 4655 = -8*o. Calculate the remainder when o is divided by 62.
59
Calculate the remainder when ((-7909)/(-110) + 6/10)*2 is divided by 30.
25
Let l = -1624 - -1741. Calculate the remainder when l is divided by 24 - -7 - (-1 - -2).
27
Let w(n) = n**2 + 10*n + 4. Let q be w(-22). Let z = q + -153. What is the remainder when z is divided by 29?
28
Suppose 100*s + 4*s - 21 = 1123. Calculate the remainder when 2142 is divided by s.
8
Let z = -238 + 416. Let h = z - 165. What is the remainder when 22 is divided by h?
9
Suppose -677*j - 693*j + 1390*j - 6800 = 0. What is the remainder when j is divided by 40?
20
Let c(z) = 92*z + 2364. Calculate the remainder when 1479 is divided by c(-23).
239
Suppose 2*m + 120 = 2*z - 0*z, -4*m = -z + 78. Calculate the remainder when 217 is divided by z.
1
Suppose -34 = -28*t + 134. Suppose t*l + 489 = 543. What is the remainder when (14 - 0)/((-1)/(-1)) is divided by l?
5
Suppose -q + 2*k + 6 = 0, q - 2*q = 4*k. Suppose -q*w + 1 = -27. Let g(i) = -15618*i + 93730. Calculate the remainder when g(6) is divided by w.
1
Let s = 3038 + -2778. Suppose 0 = -6*a - 10*a + 144. What is the remainder when s is divided by a?
8
Suppose -5*w = 2*s - 2413, 4*s = -2*w + 6*w + 4812. Suppose -19*m + s = -5*m. What is the remainder when m is divided by 18?
14
Let u(n) = n**3 + 6*n**2 - 3. Let k be u(-6). Calculate the remainder when (2/k)/((-2)/213) is divided by (-1312)/(-52) - (-9)/(-39).
21
Let m = 48 + -44. Let p be (2 + 10/m)*78/9. Suppose 2*o - p = -x - 2*o, 0 = -2*x + 2*o + 78. Calculate the remainder when x is divided by 10.
9
Let k be (-816)/56 + 18/(-42). Let w(o) = o**2 - 11*o - 9. Let m be w(7). Let n = k - m. Calculate the remainder when n is divided by 5.
2
Let b = -148161 + 148183. Let m(c) = 11*c**2 - 1. Calculate the remainder when m(4) is divided by b.
21
Let q(l) = -25*l - 217. Let w(x) = 9*x + 72. Let s(m) = -4*q(m) - 11*w(m). Calculate the remainder when s(-27) is divided by 36.
13
Let q(x) = 14*x**3 + 4*x**2 - 7*x + 13. Let d be q(3). Let p = 408 - d. What is the remainder when 14 is divided by p?
0
Let r = 2207 - 2140. Calculate the remainder when 197 is divided by r.
63
Let t = -5826 + 10781. Calculate the remainder when t is divided by 134.
131
Suppose 30*g = 3*q + 33*g - 13884, 5*q = 3*g + 23100. What is the remainder when q is divided by 1540?
3
Let u = 5260 - 5177. Let p(b) = 6*b + 3. Calculate the remainder when u is divided by p(3).
20
Let q(j) = -8*j + 34. Let l be q(4). Suppose -l*c - 216 - 22 = -4*t, -77 = -t + 4*c. Let s = -60 + 75. What is the remainder when t is divided by s?
12
Suppose -4*z + 4*j = -528, 99*z - j - 386 = 96*z. What is the remainder when z is divided by 29?
11
Let p(l) = l**2 - 2*l - 3. Let r = 502 + -495. Calculate the remainder when p(7) is divided by r.
4
Let u(j) = 6*j + 124. Let i be u(-24). Suppose -2*l + 50 = -68. Calculate the remainder when l is divided by (-656)/i + 12/(-15).
27
Let p = 165 - 81. Calculate the remainder when (524/10)/(p/(-70))*-3 is divided by 33.
32
Let g be -3 + 1 + 0 - 25. Let q = 44 + g. Let l = 3364 - 3335. Calculate the remainder when l is divided by q.
12
Let v = -23 + 49. Calculate the remainder when (7/14)/((-25)/(-2900)) is divided by v.
6
Let u be 1/(3*(-4)/(-60)). Suppose -3*w + 3*l = 0, 0 = -4*w + 2*l - u*l. Suppose 13*t - 19*t + 72 = w. Calculate the remainder when 35 is divided by t.
11
Let m = 10268 + -9762. What is the remainder when m is divided by 11?
0
Let j(c) = -4*c**3 + 20*c**2 - 2*c - 12 + 3*c**3 + 3*c**3 - c**3. Calculate the remainder when j(-20) is divided by 5.
3
Suppose 5*u + 668 = -3*v + 2391, 3*v - 1726 = -2*u. Suppose 0 = -3*j + 4*w - 6*w + 347, w - v = -5*j. What is the remainder when j is divided by 34?
13
Suppose -2*g - 4*k + 4 = -16, -5*g = -5*k + 25. Let t = 460 - 247. Suppose -2*n + t - 71 = g. Calculate the remainder when n is divided by 36.
35
Let p(q) = -4*q**2 + 2*q - 3. Let a be p(-4). Let t be (-2431)/119 - (-3)/7. What is the remainder when (-12*t/a)/((-1)/35) is divided by 19?
17
Suppose -b + 3*s + 1822 = 0, -4*b + 1292 = -2*s - 6056. What is the remainder when 5524 is divided by b?
4
Suppose -1022 = 4*s - s + z, 3*s + 992 = 5*z. Let r = s - -354. Calculate the remainder when 239 is divided by r.
14
Let n be (4/(-5))/2 - (-10778)/170. Suppose -a + 33 = -0*a. Suppose 66*s - n*s - a = 0. Calculate the remainder when 32 is divided by s.
10
Suppose 205 = w - 2*a, 0 = -5*w + 4*w + 4*a + 189. Calculate the remainder when 3756 is divided by w.
220
Let a = -2153 - -2197. What is the remainder when 928 is divided by a?
4
Let i(a) = -14*a**2 - 141*a - 1. Suppose 4*t = -0*t. Let g(m) = m**2 + 2*m + 44. Calculate the remainder when g(t) is divided by i(-10).
8
Let h(z) = z - 8. Let a be h(4). Let b be 7*(48/(-14))/a. Let m(k) = 4*k - 21. Calculate the remainder when 10 is divided by m(b).
1
Suppose -x + 3*g = -1540, 2*g - 4675 = -58*x + 55*x. What is the remainder when x is divided by 40?
35
Let n(g) = -2*g**3 + 12*g**2 + 435*g + 27. What is the remainder when (36/(-8))/(2/(-68)) is divided by n(18)?
72