y is divided by j.
3
Let y(u) = u**3 - 6*u - 6. Let h(w) = -w + 69. What is the remainder when y(5) is divided by h(28)?
7
Suppose -306 = -0*b - 3*b. Suppose -3*j + 217 = 4*x + 111, 10*j = 5*x + 115. What is the remainder when b is divided by j?
12
Suppose 3*q - 282 = 4*q. Let d = -271 - q. What is the remainder when 46 is divided by d?
2
Let o(q) = -q**2 + 14*q - 25. Let k = 3 + 9. Let u be o(k). What is the remainder when 154 is divided by (u/3)/((-4)/144)?
10
Suppose 6*a + 1320 = 21*a. Let w = 350 - a. What is the remainder when w is divided by 33?
31
Let j = -5 + -80. Let p = j - -134. What is the remainder when 579*(-1 + (-16)/(-12)) is divided by p?
46
Let b(s) = s**3 - 23*s**2 - 61*s - 150. Let h be b(26). Let o be 10*2/(-4)*29. Let w = o + h. What is the remainder when w is divided by 50?
47
Suppose 2*b = -3*l + 710, -5*b = 125*l - 128*l - 1796. What is the remainder when b is divided by 10?
8
Let n(u) = -10*u**3 + 3*u**2 + 3*u - 6. Suppose 13*g = -55 + 29. What is the remainder when n(g) is divided by 27?
26
Suppose 2*b + 5*b - 126 = 49. Let r be 3/(-3*(-1)/5). What is the remainder when (62/r)/(2/20) is divided by b?
24
Suppose 1816*q - 172 = 1814*q. Calculate the remainder when 4041 is divided by q.
85
Let k = 1602 + -1580. Suppose 0*y - 4*h = 3*y - 317, 5*h + 74 = y. What is the remainder when y is divided by k?
11
Let u = 96 - 206. Let v = -1891 - -1774. Let b = u - v. What is the remainder when 34 is divided by b?
6
Suppose 0 = -3*j + 117 + 15. Let a be (-4)/((-8)/(-3) - 4). Suppose a = p, 0*s + 5*s + 3*p - 89 = 0. What is the remainder when j is divided by s?
12
Suppose -2*v + 4*m = 10, -5 - 10 = v - 4*m. Let k(s) = 18*s - 12. Let h be k(v). Let y = -48 + h. Calculate the remainder when y is divided by 11.
8
Suppose -2*m - 834 = -3*a, -5*a + 3*m = -2298 + 908. Let i = 89 + -18. What is the remainder when a is divided by i?
65
Suppose 6 = 3*t - 0. Suppose 5*f = -5*k + 15, t = -k - 0*k. What is the remainder when 24 - 4 - (-3 + 4) is divided by f?
4
Suppose m - 6*m = -k + 2213, m = 4*k - 8871. What is the remainder when k is divided by 202?
198
Suppose -37*i - 3172 = -159*i. What is the remainder when 7227 is divided by i?
25
Suppose 0 = -3*v - c + 67, 0*c - c = -5*v + 101. Suppose -2*z = -6, -54*s + 5*z = -50*s - 141. What is the remainder when s is divided by v?
18
Suppose -5*k + 24 = 7*k. Suppose -3*o - 45 = -k*a + 28, 2*a + 5*o - 33 = 0. Let i(w) = -w - 1. What is the remainder when a is divided by i(-9)?
5
Suppose 3*g - 5*k = 60, 5*k - 70 = -4*g + 45. Suppose -4*d = -g + 1. Let r(c) = c - 2. Calculate the remainder when r(9) is divided by d.
1
Let h(z) = 12*z**2 - 436*z + 51. What is the remainder when h(40) is divided by 151?
150
Let u = -99876 - -100094. Suppose 3*w - r = 130, -3*w - 3*r - 50 + 200 = 0. What is the remainder when u is divided by w?
38
Suppose 0*d - 4*q + 2448 = 4*d, -1220 = -2*d - q. What is the remainder when d is divided by 159?
131
Suppose -8*z + 127*z = 84774 + 107292. Calculate the remainder when z is divided by 64.
14
Suppose u + 2*w = w - 107, w = -4. Let m = u - -209. What is the remainder when m is divided by 9?
7
Calculate the remainder when 1784 is divided by 110/6 + 0 + 58/87.
17
Let w(h) = -16*h - 2. Suppose 2*k + 4*i + 57 = 77, 0 = 4*k + i - 33. Calculate the remainder when w(-5) is divided by k.
6
Let u(m) = m**3 - 71*m**2 + 106*m - 1784. Calculate the remainder when u(70) is divided by 29.
11
Suppose -2*c + 4*w + 66 = 0, 4*w - 147 + 3 = -4*c. Suppose h + 20 = 17, -h = -z + 140. What is the remainder when z is divided by c?
32
Let v(y) = -y**3 + 9*y**2 - 10*y + 9. Let w be v(6). Let b = 835 - 831. Suppose -13 = b*p - w. What is the remainder when 20 is divided by p?
9
Let l = -9 + 12. Suppose r + 4*s - l*s = 16, -r - 5*s = -8. Let y = 28 - r. Calculate the remainder when y is divided by 6.
4
Suppose 62*c + 49 = -199. What is the remainder when 198 is divided by (-63)/(13 + c) - -19?
6
Suppose -6*i + 3 = -27. Suppose 5*t - 3*j - 64 = -j, -4*t = -i*j - 58. What is the remainder when (0 - 59)/(1/(-1)) is divided by t?
11
Suppose -5*m + 147 = -g, 253*m - 249*m = -2*g + 98. Calculate the remainder when 201 is divided by m.
5
Suppose -229*d - 25189 = 75*d - 104533. What is the remainder when d is divided by 213?
48
Let c(k) = 38*k - 3062. Calculate the remainder when 531 is divided by c(83).
71
Let f(c) = -c**3 + 2*c**2 - 363*c - 1453. Calculate the remainder when 202 is divided by f(-4).
12
Suppose -2*k + 5*n = 73 - 66, 0 = -k + 3*n - 8. Calculate the remainder when -1 + 186 + 0/1 is divided by k.
14
Let z(y) = y**3 - 8*y**2 - 3*y + 23. Let x be z(8). Calculate the remainder when 1 is divided by 3/x*(-1)/3.
0
Let r(w) = -w**3 - 3*w**2 + w - 15. Let u be r(-5). What is the remainder when 2/u - 39672/(-270) is divided by 25?
22
Let p = -9295 + 9381. Calculate the remainder when 650 is divided by p.
48
Suppose -4*a + 3*x = -189, 0*x = 4*a + x - 193. Suppose -10*m + 2 = -a. Calculate the remainder when m is divided by 3.
2
Suppose -36 - 39 = -3*g. Let p = -306 + 145. Let d = p - -175. Calculate the remainder when g is divided by d.
11
Suppose -20*l = -25*l + 190. Suppose c - l = -35. Calculate the remainder when 15 is divided by c.
0
Suppose -4*f + f + 84 = 0. Let c = 1420 - 1374. Let z = c - f. What is the remainder when 67 is divided by z?
13
Suppose 4*r - 512 = 4*v, 5*v + 132 = 10*r - 9*r. Let t = r - 76. What is the remainder when t is divided by 14?
9
Suppose 279 = 3*t + 2*f, 0 = -76*t + 72*t + 3*f + 338. What is the remainder when 3381 is divided by t?
88
Suppose -5*i + 105 + 222 = 4*o, 2*o + 339 = 5*i. Suppose -173 - i = -24*r. What is the remainder when 35 is divided by r?
5
Calculate the remainder when ((-18)/(-30))/(1/8780)*1 is divided by 7.
4
What is the remainder when ((-364)/98)/(20/(-70)) is divided by 10?
3
Let g = 591 + -221. Let h = 411 - g. Calculate the remainder when h is divided by (-3 + 2)/((-2)/44).
19
Let a(d) = -128*d + 711. What is the remainder when a(5) is divided by 6/4 - (-142)/4?
34
Let g = 187 + -79. Let x be 8/g*-3 + (-1082)/(-9). What is the remainder when (-30)/(-4)*(x/18 - 4) is divided by 12?
8
Let a = -344 - -374. What is the remainder when 384 is divided by (a/(-4))/15*-86?
40
Let z(r) = 7*r**3 - 5*r**2 - 20*r + 21. Let d(i) = 5*i**3 - 6*i**2 - 22*i + 20. Let f(t) = 3*d(t) - 2*z(t). What is the remainder when f(14) is divided by 64?
62
Let g(s) = s + 1. Suppose -z + 10 = z. Let a be g(z). Let k(x) = -x**2 + 7*x + 11. Calculate the remainder when 83 is divided by k(a).
15
Let h = -1276 + 1808. What is the remainder when h is divided by 8?
4
Let z(s) = s**2 - 13*s + 18. Suppose 0 = -4*q + 126 + 6. Let b = q + -22. Calculate the remainder when z(13) is divided by b.
7
Let r(p) = -29*p + 185. What is the remainder when r(2) is divided by 1/2 - 111/(-6)?
13
Suppose -3*z + n + 301 = 0, 5*z - 5*n - 133 = 352. Calculate the remainder when z is divided by (318/(-8))/(-6 + (-84)/(-16)).
49
Suppose 66*b - 2849 = 55. What is the remainder when b is divided by 869/66 + (-2)/12 + 2?
14
Suppose -c = -4*q + 15, 2*c - q + 17 = 1. Let g = c - -36. Suppose o + 5*u - g = 0, 4*u - 36 + 2 = -2*o. Calculate the remainder when o is divided by 2.
1
Calculate the remainder when 91/(-28) + 3 + 2914/8 is divided by 23.
19
Suppose 6*t + 715 = -407. Let k = t - -192. What is the remainder when 345/10 - (-1)/(-2) is divided by k?
4
Let f be 4/14 - 618/(-42). Suppose 270 = 3*p + f. Calculate the remainder when p is divided by 44 + -3*(-1)/3.
40
Let x be 2/(-4)*(-18)/3. Suppose 5*g - 364 = -x*t, -321 = -3*t - 4*g + 44. Let b(k) = -k**2 + 35*k + 365. Calculate the remainder when t is divided by b(43).
18
Suppose -5*v - 6*d = -4*d - 69, 8 = 4*d. Calculate the remainder when 4677 is divided by v.
10
Suppose -5*z - 5*i = -25, -z + 11 = -3*i - 2*i. What is the remainder when 66 is divided by z*(-6)/63*(-140)/8?
6
Let o = 2068 + -1998. What is the remainder when o is divided by 22?
4
Suppose -3928*t = -3934*t + 2220. Calculate the remainder when t is divided by 48.
34
Let x(r) = -46*r + 886. What is the remainder when 1771 is divided by x(19)?
7
Suppose 4*l - 3*l = 107. Suppose -5*f + 3*f = -148. Suppose 5*m - f - 106 = 0. What is the remainder when l is divided by m?
35
Let m = -555 + 918. Supp