 - 9*b**2 + 36*b. Let v be z(-12). Let a(c) = c**2 - 4*c + 15. What is the remainder when 282 is divided by a(v)?
12
Suppose 0 = -5*g - 147 - 23. Let p be (-8)/(-5)*(-50)/5. Let h = p - g. What is the remainder when 34 is divided by h?
16
Let t be ((-3 - (-2 - 1)) + 4)/1. Suppose f + 375 = 5*i, 2*f - 390 = -9*i + t*i. What is the remainder when i is divided by 20?
16
Let a = 7471 + -4799. What is the remainder when a is divided by 12?
8
Suppose 669 + 307 = 51*k - 605. What is the remainder when 70 is divided by k?
8
Suppose 6*n - 52 - 198 = -44*n. What is the remainder when 6 is divided by n?
1
Calculate the remainder when 1*15*2*(9 + (-260)/30) is divided by 2/(-5) + 135/25.
0
Suppose -4*h = -2*p - 602, 6*p + 146 = h + 4*p. Let k(t) = t**3 + 7*t**2 + 4*t + 10. Calculate the remainder when h is divided by k(-6).
20
Suppose 75 = x - 4*d - 94, -4*d = -5*x + 877. Let y = 132 - x. Let r = 64 + y. What is the remainder when r is divided by 6?
1
Let i(k) = k**3 + 12*k**2 - 52*k + 84. Calculate the remainder when 766 is divided by i(-8).
10
Suppose 9 = 6*c - 27. Suppose c*t = v + 2*t - 23, -4*v + 3*t + 131 = 0. What is the remainder when 62 is divided by v?
27
Let g = -14111 - -15104. What is the remainder when 993 is divided by g?
0
Let n = 11148 - 11041. Calculate the remainder when 389 is divided by n.
68
Let n(q) = 22*q - 220. Suppose 96 = -62*r + 68*r. Suppose -80 = -3*m + 22. Calculate the remainder when n(r) is divided by m.
30
Suppose 179*o + 144 = 183*o. What is the remainder when 859 is divided by o?
31
Let z(g) = -6*g - 12. Let x be z(-3). Suppose 5*l = -2*v + 39, -x*v = -9*v - 3*l + 36. Let w = 38 - 7. What is the remainder when w is divided by v?
3
Suppose 0 = -318*n + 15194 + 3250. What is the remainder when 6319 is divided by n?
55
Suppose 0 = 32*r + 28474 - 98522. Calculate the remainder when r is divided by 44.
33
Let t be (3*1)/((-207)/(-18) - 10). Suppose 0 = -d - t*l + 762 + 23, 4*d + l - 3126 = 0. Calculate the remainder when d is divided by 17.
16
Suppose -4*c + 181 = -11*f + 12*f, 4*f + 3*c - 659 = 0. Let w = -154 + f. What is the remainder when 67 is divided by w?
4
Suppose 3*j - w - 26 = 0, w + 2*w = 3*j - 24. Suppose -15*g + 16*g = 0. Calculate the remainder when j is divided by 3 - 3 - (-3 + g).
0
Let n be ((-4)/6)/(1581/(-315) + 5). Suppose c - n = -25. Calculate the remainder when 579 is divided by c.
9
Let g(c) = -15*c - 651. Let s be g(-52). Suppose 14*q + s = 15*q - z, 5*q - 2*z - 660 = 0. Calculate the remainder when q is divided by (2/(-2))/((-1)/27).
26
What is the remainder when 374 is divided by (-6)/63 + -6308*(-20)/1680?
74
Let w be (-4)/38 - (5484/(-114) + -10). Suppose 0 = -2*g + 5*d + 96 + w, 308 = 4*g - 2*d. What is the remainder when g is divided by 21?
14
Suppose -57*c - 8088 + 12664 = -11498. Calculate the remainder when 2533 is divided by c.
277
Suppose 3*u + 8 = 5*u. Suppose 0 = 2*c - 5*s - 7, -2*s + 5 = 3*c + 4. Suppose -2*j - u*d = -156, 3 = 2*d + c. What is the remainder when j is divided by 26?
24
Suppose 2461 + 1865 = 120*f + 86*f. Calculate the remainder when 578 is divided by f.
11
Suppose -1 + 31 = 10*f. Calculate the remainder when (11 + -20)*(-2 - 1/f) is divided by 7.
0
Let p(i) = 321*i + 1312. What is the remainder when 50 is divided by p(-4)?
22
Suppose 0 = -900*r + 895*r + 31155. Calculate the remainder when r is divided by 2077.
0
Suppose 4*k - 30 = -k. Suppose -2*b = 3*c - 428, -67 + 119 = c + 12*b. Calculate the remainder when c is divided by k.
4
Calculate the remainder when 526 is divided by 18/(-45) + ((-4)/10 - 7634/(-55)).
112
Let v(h) = h**3 - 2*h**2 + 21*h + 22. Let i(s) = -21*s**3 - 4*s - 3. Calculate the remainder when i(-2) is divided by v(0).
19
Suppose -2*r = 2*r + 5*c + 39, 0 = r - 3*c - 3. Let n(f) = 51*f - 33*f - 3 - 30*f - 12*f. What is the remainder when n(r) is divided by 24?
21
Suppose 3*s + 27 = 12*s. Let j be (-1)/(((-6)/s)/170). Suppose h - j = 3*c, 5*h - 4*c - 392 = -0*c. What is the remainder when h is divided by 27?
22
Suppose 18*k = -3661 - 83. Let b = k + 212. Calculate the remainder when 13 is divided by b.
1
Suppose 94*o = -s + 95*o + 43, 8 = 4*o. What is the remainder when 3327 is divided by s?
42
Let f be -2 + 4/(-12)*0. Let t(r) = 3*r**2 - 3*r - 5. Let u be t(f). Suppose 18*z = u*z + 115. Calculate the remainder when 45 is divided by z.
22
Let r = 7164 + -7067. Calculate the remainder when 10474 is divided by r.
95
Let s be (70/6)/((-105)/(-63)). Calculate the remainder when 327 is divided by 2 - s - (21 - 56).
27
Calculate the remainder when 1508 is divided by (45/30)/(2/4) + 9.
8
Suppose 11*h = 16*h - 175. Suppose -10*p = -35 - h. Suppose -t + q = -29, -2*q - 6 = q. Calculate the remainder when t is divided by p.
6
Let y be (12/(-10)*-2)/((-22)/(-55)). Suppose -86 = -5*l - y. Suppose -11*o = -8*o + j - 61, 0 = -4*j + l. Calculate the remainder when 92 is divided by o.
16
Let c(p) be the first derivative of p**4/4 - 7*p**3/3 + 10*p**2 - 2*p - 222. Let r = -1 - -7. Calculate the remainder when c(r) is divided by 12.
10
Let c = 207 + -204. Suppose 0 = -4*p - 2*i + 280, c*p + 2*i - 4*i = 224. Let y = 31 - -7. What is the remainder when p is divided by y?
34
Let n(r) = 2*r**3 + 40*r**2 + 11*r + 9. Calculate the remainder when 532 is divided by n(-19).
10
Let i = -2514 + 2630. Let w be (-1)/((-2)/36) + -1. Suppose i = -15*a + w*a. Calculate the remainder when a is divided by 31.
27
Suppose 5190 = -4*a - 6*m, -4*a = -5*m + 1089 + 4134. Calculate the remainder when 30 is divided by (-2)/5 + a/(-155).
6
Suppose 1959 - 2191 = -29*b. What is the remainder when 252 is divided by b?
4
Suppose -3*j = 3 - 72. Let x(q) = 119*q + 4439. What is the remainder when x(-37) is divided by j?
13
Let y(f) = f**3 + 13*f**2 - f - 13. Let t be y(-13). Suppose 0 = -2*j + 3*q + 54, 4*j - 7*j + 2*q + 76 = t. What is the remainder when 209 is divided by j?
17
Suppose -2*i + 82 = 5*t, -2*t + 3*i + 869 = 821. Calculate the remainder when 1546 is divided by t.
16
Let y = -8999 + 9036. Calculate the remainder when 296 is divided by y.
0
Let k(u) = -73*u + 337. What is the remainder when k(2) is divided by 3?
2
What is the remainder when (-2 + ((-684)/27 - -5))/((-2)/24) is divided by 40?
28
Let f = -3297 + 4074. What is the remainder when f is divided by 6?
3
Suppose 2*t + 20 = 7*t. Let z be (-15)/18*2*-3*1. Calculate the remainder when 1 + (-2)/z + (-357)/(-105) is divided by t.
0
Let f(c) = 225*c + 1430. Let k(r) = -16*r - 102. Let x(w) = 4*f(w) + 55*k(w). What is the remainder when 97 is divided by x(-5)?
7
Let q be (210/(-50))/(-7) - 22/(-5). Suppose 3*t = q*y + 405, 2*t + 3*y = 4*t - 269. Calculate the remainder when t is divided by 27.
22
Let i = -44 - -41. Calculate the remainder when 175 is divided by ((-1 + 3)/(-4))/(i/264).
43
What is the remainder when (4/(-3))/(4/(-1956)) + (9 - 14) is divided by 60?
47
Suppose 1860 = 14*t - 282. Let i = 158 - t. What is the remainder when 263 is divided by i?
3
Suppose 32*p + 37*p - 12819 + 4056 = 0. What is the remainder when 364 is divided by p?
110
Let x = -7586 - -7604. Calculate the remainder when 1579 is divided by x.
13
Let u = 4684 + -4653. Calculate the remainder when 90*(-4 - -2)/(-2) is divided by u.
28
Calculate the remainder when 271 is divided by 1/(10/20*(-4)/(-4)) + 133.
1
Suppose 13 = 3*s + 7. Suppose -5*d = s*d. Suppose -56 = -d*l - 2*l. What is the remainder when 108 is divided by l?
24
Let p = 14 + -24. Suppose -574 = 4*f - 5*i, -722 = -0*f + 5*f - 4*i. Calculate the remainder when 40 is divided by f/p + 39/(-65).
12
Calculate the remainder when 925 is divided by (-1624)/(-21)*255/340.
55
Suppose 22*k + 30 = 27*k. Suppose k*a - 63 = -a. Let f(i) = 11*i + 18. Calculate the remainder when f(a) is divided by 40.
37
Let x = 170 + -114. Let t = 78 - x. What is the remainder when -872*(26/91)/((-208)/91) is divided by t?
21
Let t = 3715 - 2759. What is the remainder when t is divided by 113?
52
What is the remainder when (8044/6)/(40/20) + (-8)/(-12) is divided by 67?
1
Calculate the remainder when 810 is divided by (-7 - (-396)/55) + (-4009)/(-5).
8
Suppose 0 = 4*j - 9 - 23. Let h = -5 + j. Suppose 3*a - 156 = -h*a. Calculate the remainder when 101 is divided by a.
23
Suppose 0 = 4*a, -y = -3*a - 3 + 1. Suppose 9*b + y = 2