e remainder when 1383 is divided by f?
6
Suppose 0 = 2*v - 1540 + 30. Suppose 0 = -5*i - 3*c - v, -i - 755 = 4*i - 2*c. Let u = i - -284. What is the remainder when u is divided by 45?
43
Let b(t) = t**2 + 18*t + 71. Let o be b(-8). What is the remainder when -6 - 60/o - (-1972)/12 is divided by 28?
25
Suppose -24*a - 4*k = -20*a - 11048, 5*a - 13792 = k. What is the remainder when a is divided by 138?
137
Suppose -3*o - a + 12 = 0, 4*o - 228 = -2*a - 212. Calculate the remainder when 89 is divided by o.
1
Suppose 5*g + 2*t = 3*t + 18, 4*g = -t + 18. Suppose 0 = -5*y + 10, y - g = -4*l + 3*y. Suppose -l*o - 22 = -58. What is the remainder when 87 is divided by o?
15
Let c(g) = -19412 + 9*g - g + 19478 - g**2 + 0*g**2. Calculate the remainder when c(12) is divided by 7.
4
Let k = 1090 - 1074. Let n(f) = 47*f + 55. Calculate the remainder when n(26) is divided by k.
13
Suppose -31*d = -72*d + 29930. What is the remainder when d is divided by 151?
126
Let v = -83 - -1873. Calculate the remainder when v is divided by 78.
74
What is the remainder when 225 is divided by (2 + 97)/3 + -22 + 23?
21
Suppose 3*z + 2*o - 55 = 0, z - 58 = -3*z + 5*o. Let w(t) = -z + 2 + 3 - 19 - 7*t. What is the remainder when 73 is divided by w(-6)?
7
Suppose -58*p + 61*p = 12, i + 2*p = 235. Suppose -i - 1803 = -35*t. Let l = 19 - 3. What is the remainder when t is divided by l?
10
Let c(w) = 32*w**2 - 73*w + 229. Calculate the remainder when c(3) is divided by 99.
1
Suppose 60 = 4*p + 4. Calculate the remainder when (108/p)/((-6)/(-42)) is divided by 11.
10
Let v(j) = j**2 + 7*j - 84. Let f be v(-19). Suppose f = 8*k - 96. Calculate the remainder when k is divided by 12.
6
Let q(n) = -n**3 + 2*n**2 + 5*n - 7. Let c be q(2). Let o be 1*0/(1/1). Suppose o = c*l - 8*l + 140. What is the remainder when l is divided by 15?
13
Suppose h = -2*h + 300. Suppose 6*c + 2*x = 4*c - h, -3*x = c + 58. Let z = c - -54. Calculate the remainder when 54 is divided by z.
6
Suppose -h - 40 + 38 = 0. What is the remainder when (-1431)/(-12) - h/(-8) is divided by 50?
19
Let y(i) = 275*i + 3688. What is the remainder when y(-9) is divided by 24?
13
Suppose 10 - 103 = -8*v + 531. What is the remainder when 191 is divided by v?
35
Suppose 2*t + 81 = 4*b - 117, 3*b = -3*t + 153. Suppose -22 = -2*y - 3*v, 2*y - v - 28 = 2. What is the remainder when b is divided by y?
8
Let s(x) = -x**3 + 16*x**2 - 46*x. Let g be s(4). Suppose -14*c - g = -16*c, 4*f - 232 = -5*c. What is the remainder when 197 is divided by f?
38
Calculate the remainder when (26/6)/((1026/1215)/38) is divided by 87.
21
Suppose -15*g + 249 = -3*g - 315. What is the remainder when 4195 is divided by g?
12
Calculate the remainder when 36 is divided by (8/5)/(5/(-225)*-6).
0
Suppose 1209 = 13*y - 18954. What is the remainder when y is divided by 40?
31
Let g(w) = -w**3 + 28*w**2 - 15*w + 643. What is the remainder when 885 is divided by g(28)?
216
Suppose -1012*z - 4392 = -1030*z. Calculate the remainder when 2240 is divided by z.
44
Suppose 31 - 28 = 3*q. What is the remainder when 120 is divided by (30 + 2)*q - 5?
12
Let l(r) = 93 + 177*r - 354*r + 172*r. Suppose 0 = -2*m + 1 + 3, 3*i = 4*m + 25. Calculate the remainder when l(6) is divided by i.
8
Suppose 5*d = u - 0*d + 21, 3*u + 4*d = 32. Suppose 0*i - 5*i + 919 = 4*y, -u*y + 921 = 3*i. What is the remainder when ((5 + -4)/3)/(1/y) is divided by 20?
17
Suppose 106 = 5*d + w + 32, 4*w = -4*d + 72. Suppose d = -5*v + 4*o + 336, 0 = 4*v + 2*o - 242. What is the remainder when v is divided by 7?
6
Suppose 0 = -5*y + 1849 + 1196. Suppose 4*t = 4*v - v - y, 4*v - 805 = 3*t. Calculate the remainder when v is divided by 23.
15
Let c(q) = -2*q**2 + 105*q - 1301. Calculate the remainder when 529 is divided by c(31).
17
Suppose 0 = 7*h + 278 - 292. Suppose h*m - 9*i + 7*i = 66, -3*i = -4*m + 128. Calculate the remainder when m is divided by 18.
11
Calculate the remainder when (16/(-12) - ((-4688)/6 - 4)) + -3 is divided by 42.
25
Let k(j) = j**2 + 3*j + 2. Let d be k(-4). Let a = -1921 - -1931. What is the remainder when ((-78)/(-8))/(d/24) is divided by a?
9
Let z = 6564 + -6501. Calculate the remainder when 572 is divided by z.
5
What is the remainder when 135 is divided by ((-466)/(-6) - -5) + 2 + 4/(-6)?
51
Suppose 2023 + 236 = 23*q + 304. Let t(d) = -d - 1. Let h be t(-1). Suppose 4*x + h*x = 176. Calculate the remainder when q is divided by x.
41
Suppose 1221 = 83*m - 50*m. Suppose -3*f - 15 = -84. Calculate the remainder when ((-1 - -1) + 65)*m/37 is divided by f.
19
Let m(q) = q**3 - 22*q**2 + 33*q - 44. Let j be m(21). Suppose 4*n + u - j = -0*u, 0 = -3*u. What is the remainder when n is divided by 9?
7
Let c(z) = z**3 + 28*z**2 + 163*z + 12. Calculate the remainder when c(-19) is divided by 27.
2
Suppose -2*h = -3*b + 54, 3*h = 2*b - 6 - 80. Let g = h - -51. Let a = 698 - 618. Calculate the remainder when a is divided by g.
17
Let k = -1295 + 1310. Calculate the remainder when 62 is divided by k.
2
Suppose 3070 = 2*h + r, -2*h + 3052 = 8*r - 10*r. What is the remainder when h is divided by 755?
22
Suppose 5*t + 116 = g, -6*t - 185 = g - 301. What is the remainder when 694 is divided by g?
114
Let r(j) = 2*j**3 - 12*j**2 - 28*j - 13. Let s be r(8). Suppose s*i - 27*i + 592 = 0. What is the remainder when 515 is divided by i?
71
Calculate the remainder when 253 is divided by -5*144/80*14/(-3).
1
Suppose 3*k - 1727*o + 1731*o = 4407, -k + 1459 = 3*o. Calculate the remainder when k is divided by 10.
7
Suppose v - 9 = -2*v - 5*a, v - 2*a + 8 = 0. Let x(s) = -3*s**3 + 5*s**2 + 5*s. What is the remainder when 65 is divided by x(v)?
31
Suppose 16*x + 21 = 69. Suppose 4*j - 8 = 0, t - j = x*j + 22. Calculate the remainder when 238 is divided by t.
28
Let p = -33 + 32. Let i be (3 - (3 + p)) + (2 - 1). What is the remainder when 9 is divided by 5/1 + i + 5 + -5?
2
Suppose 3*x - 28 = 2*x + 2*n, 4*x - 4*n = 136. Calculate the remainder when 45 is divided by x.
5
Calculate the remainder when 918 is divided by (-1984)/(-30) - 14/105.
60
Let w be 365*((-140)/25 + 6). Suppose 7*z - 113 = w. Calculate the remainder when 145 is divided by z.
34
Let t be 79 - 5/(-1 - -2). Suppose s - 4*g = 23, -8*s + 10*s = g + t. Calculate the remainder when 115 is divided by s.
37
Let y(r) = -26*r - 39 - 24*r - r**3 + r - 12*r**2 + 12. Let v(b) = b**3 + 6*b**2 + 2*b + 1. Calculate the remainder when y(-8) is divided by v(-3).
21
Let y(m) = -107*m + 4966. What is the remainder when 3953 is divided by y(46)?
37
Let c be 108/(((-15)/20)/1). Let z = -49 - c. What is the remainder when z is divided by 49?
46
Let j(c) = 444*c + 22683. Let h(d) be the second derivative of -d**5/20 - d**4/3 + d**3/3 - d**2/2 - d. Calculate the remainder when j(-51) is divided by h(-5).
11
Suppose -6*k - 13 = -547. Suppose -4*d + 5*l + k = -0*d, 47 = 2*d - 3*l. What is the remainder when 23 is divided by d?
7
Let p(j) = 24*j - 193. Suppose -157 = -4*a + 203. What is the remainder when a is divided by p(10)?
43
Suppose -8*k - 159 = -1335. Let f = -129 + k. What is the remainder when 120 is divided by f?
12
Suppose 0*b = -6*b + 30. Suppose -5*q = 4*h - 33, -b*q - 2 + 0 = -h. Suppose -h*p = -3*p - 48. Calculate the remainder when 34 is divided by p.
10
Let s = -181 + -617. Calculate the remainder when 132 is divided by 3/(7/(s/(-18))).
18
Suppose 25*j = -102*j + 11*j + 120872. Calculate the remainder when j is divided by 36.
34
Let p(m) = m - 32. Let u(j) = 2*j - 2. Let x(d) = -p(d) + u(d). Calculate the remainder when 39 is divided by x(-8).
17
Let g(n) = n**3 - 40*n**2 + 11*n + 264. What is the remainder when g(40) is divided by 73?
47
Suppose 734 = -149*m + 21743. What is the remainder when 148 is divided by m?
7
Let t(k) = 17*k**2 - 30*k + 5. Let x be t(2). Suppose 16 = x*q - 23. What is the remainder when 3 is divided by q?
0
Calculate the remainder when ((495/(-4))/(-15))/(115/56 + -2) is divided by 121.
33
Let z be 1/(((-3)/45)/1). Suppose -m - 4*b = 17, -66*m = -68*m + 5*b - 47. Calculate the remainder when 103 is divided by (16 + z)*m/(-1).
19
Let g(l) = 6*l**3 + 11*l - 16. Suppose 5*c - 8 - 10 = -3*b, 4*c = -5*b + 17. What is the remainder when g(c) is divided by 62?
55
Let j(r) = -2*r**2 + 20*r**3 - 3*r**3 - 6*r**3 + 2*r - 1