2*u + m = -221. Calculate the remainder when u is divided by 35.
6
Suppose -8*g = 30732 - 37708. Calculate the remainder when g is divided by 17.
5
Suppose 0*b - 5*y - 151 = -2*b, -2*b - 3*y + 191 = 0. Suppose 618*g = 625*g - 126. What is the remainder when b is divided by g?
16
Let s = 15 - 47. Let u = s + 47. Calculate the remainder when 86/(-4 + (4 - -2)) is divided by u.
13
Suppose -9*x - 1478 = -38*x + 2147. Calculate the remainder when 238 is divided by x.
113
Let q(i) be the second derivative of -i**4/12 + i**3/6 + 24*i**2 + 2*i. Let z be -2 + 7 + -98 + 93. Calculate the remainder when q(z) is divided by 18.
12
Let j(m) = -14*m - 3. Let a be j(3). Let h be (-38)/(-7) + a/105. Suppose x = -h*i - 2*x + 120, 4*x = -2*i + 62. What is the remainder when 103 is divided by i?
19
Let w(t) = -2*t**2 + 69*t + 326. What is the remainder when 439 is divided by w(37)?
16
Let q = 8 + -4. Suppose q*r - 8 = 0, -5*l + 154 + 387 = -2*r. Suppose -5*o + 80 = 3*f, 4*o - 25 = -4*f + 39. Calculate the remainder when l is divided by o.
13
Let z = 43 - 39. Suppose 4*g = 4*b + 12, 4*b - z*g + 9 = -g. Calculate the remainder when 74 + (0 - -4 - b) is divided by 41.
37
Suppose 0 = -4*k + 99 - 3. Let t = -164 - -163. Calculate the remainder when ((-18)/45 + 2109/(-15))/t is divided by k.
21
Let j = 8 - 4. Let o = -464 - -466. Suppose -5*h - 258 = -j*z, h + 49 = o*z - 83. Calculate the remainder when z is divided by 17.
16
Suppose -5*i - 2*w = -3208 - 63, -2 = w. What is the remainder when i is divided by 33?
28
Let b(x) = 3*x - 33. Let q be b(13). Suppose 380 = 8*i - q*i. Suppose -2*n - i + 674 = 0. What is the remainder when n is divided by 61?
59
Let l = 1559 + -1553. Suppose t + 3 = 23. Calculate the remainder when t is divided by l.
2
Let m(c) be the third derivative of c**5/20 - 7*c**4/6 + c**3/2 - 34*c**2 + c. Calculate the remainder when 178 is divided by m(10).
17
Suppose 3*i + 3*x = 30, 2*x + 5 = x. Suppose -45 = -i*m + 10*m. Suppose 3*c - 6*l - 136 = -4*l, -38 = -c - 3*l. What is the remainder when c is divided by m?
8
Suppose -156 = 3*x + 4*o, 10 = 2*o + 4. Let k = x - -91. Calculate the remainder when 139 is divided by k.
34
Let q be (-2 - 0)*((-225)/(-10) - 2). Let p = q - -47. What is the remainder when 83 is divided by 260/12 + (-4)/p?
20
Let f(o) = 105*o**2. Let c be f(1). Suppose -c*t + 1156 = -88*t. Calculate the remainder when 129 is divided by t.
61
Suppose -4 = -12*g + 10*g. Let i(s) = -2*s**2 - s**2 + 19*s**g + 1 + s**2. What is the remainder when i(-1) is divided by 10?
8
Suppose -23 = -c + s, -3*c - 2*s + 13 = -41. Calculate the remainder when 176 is divided by c.
16
Let j be (208/(-6))/(3*(-5)/90). Let f = j + -154. Calculate the remainder when f is divided by 32.
22
Suppose 0 = 5*z - 191 - 254. Suppose -28 = -v + 5*k, -v = 2*v - 3*k - 60. Suppose -y = -z - v. Calculate the remainder when y is divided by 27.
26
Let a be 141/(-1*2/2) - 0. Let z = -46 - a. Let q = -28 + 42. Calculate the remainder when z is divided by q.
11
Suppose -7928*j - 10087 = -7939*j. Calculate the remainder when j is divided by 296.
29
Let g(l) = -54*l - 2091. What is the remainder when 277 is divided by g(-41)?
31
Suppose 3*k - 135 = -90. Let b(s) = s**2 - 15*s - 27. What is the remainder when b(-10) is divided by k?
13
Let s(f) = -195*f + 17. Calculate the remainder when 184 is divided by s(0).
14
Suppose -22*i + 9 = -23*i. Let v(r) = r**2 + 3*r + 17. Calculate the remainder when v(i) is divided by 39.
32
Suppose -56*l + 8502 = -17*l. Suppose -238 = -l*r + 211*r. What is the remainder when r is divided by (-14)/(-1)*(-1 + 2)?
6
Let s = -2675 + 2705. What is the remainder when s is divided by 7?
2
Suppose -9 = 30*s - 31*s. Suppose -14*x = -s*x - 40. Suppose y - 3*y - x = -2*n, -5*n = -y - 8. What is the remainder when 2 is divided by n?
0
Let v = 50 - 47. Suppose -5*b = -v*j - 94, -3*j + 5 + 3 = b. Suppose 4*m = -3*p + 89 + 100, -5*m - 4*p + 236 = 0. What is the remainder when m is divided by b?
14
Let v(z) be the second derivative of -4*z**4/3 + 5*z**2 + 5*z - 2. What is the remainder when 808 is divided by v(0)?
8
What is the remainder when 47/((-3995)/(-8466)) + (-2)/(-5) is divided by 75?
25
Suppose 0 = -2636*m + 2620*m + 178624. What is the remainder when m is divided by 16?
12
Calculate the remainder when (2 - 88/20)*(-1079 - -24) is divided by 181.
179
Suppose 1216*s = -q + 1218*s + 42, -59 = -2*q - s. What is the remainder when 638 is divided by q?
30
Suppose -4*a + 253 = -q - 445, 0 = -2*a + 5*q + 322. Let t = 139 - 78. Calculate the remainder when a is divided by t.
54
Let c be 2 + (1 - -35 - (-12)/6). Let v = c + -24. Suppose v + 1 = l. Calculate the remainder when l is divided by 10.
7
Let n = -11701 - -14091. Calculate the remainder when n is divided by 19.
15
Suppose 8 - 2 = 2*d, 0 = -5*i - 4*d + 87. Suppose -29 - i = -4*o - 3*t, -5*t = 0. Calculate the remainder when 40 is divided by o.
7
Suppose 0 = 15*d + 1547 - 3197. Calculate the remainder when 172 is divided by d.
62
Let h = -28016 + 28183. Let a = 46 - 3. Calculate the remainder when h is divided by a.
38
Let l = 2282 - 2105. What is the remainder when 1413 is divided by l?
174
What is the remainder when 872 is divided by 71 - ((-15 - -26) + -8)?
56
Suppose -2*p = -16 - 2. Suppose 19 + p = 4*d. What is the remainder when (-68)/(-6)*((-18)/(-16))/((-75)/(-100)) is divided by d?
3
Let j be ((-15)/(-4))/(72/960). What is the remainder when 10 is divided by 5/j*-14*-5?
3
Let j(u) = -4*u**3 + 7*u**2 + 17*u + 3. Let o be j(-3). Suppose -174 = -11*p + o. What is the remainder when 127 is divided by p?
19
Let t(x) = -80*x + 96. Let o(c) = -c + 1. Let m(d) = -96*o(d) + t(d). Calculate the remainder when m(4) is divided by 8/(-52) - 19584/(-884).
20
Let k = 43 - 42. What is the remainder when 46 is divided by k*31*(-28 - -29)?
15
Let l(f) = 10*f + 55. Let k be l(-5). Suppose 18*o - k*o - 3042 = 0. Calculate the remainder when o is divided by 34.
30
Let g be -2*(8 - (-5 - -12)). Let p(s) = -19*s + 3. Calculate the remainder when 203 is divided by p(g).
39
Let z(p) be the first derivative of 2*p**3/3 + 21*p**2/2 - 5*p + 119. Calculate the remainder when 19 is divided by z(-11).
1
Suppose 5*l + 151 - 486 = 0. Let h = 113 - l. Suppose -2*f + 15 = v, v + 8*f = 4*f + 13. Calculate the remainder when h is divided by v.
12
Let t(c) = 2*c**2 + 23*c + 62. Let i be t(-7). Calculate the remainder when 1048 is divided by (-20)/(-32)*8 + (-30)/i.
33
Let v(z) = -4*z + 65. Let y be v(15). Let r(n) = -n**3 + 29*n - 13. Suppose -a - 4 = 0, 3*a + 30 = -4*h + 318. What is the remainder when h is divided by r(y)?
5
Suppose 40*q + 105 = 45*q. Suppose 14 = -g + q. Calculate the remainder when (-11)/3*3*-3 is divided by g.
5
What is the remainder when 1172 is divided by (17 - (-18 + 123))*(-4)/16?
6
Let a(b) = b**3 + 14*b**2 + 89*b + 229. What is the remainder when 1825 is divided by a(-5)?
7
Suppose -u - 2*v + 79 = 0, 32*u - 28*u - 298 = v. Calculate the remainder when 288 is divided by u.
63
Let z(c) = 103*c - 214. Let m be z(9). Suppose 4*h - 175 - m = 3*r, 205 = h - 5*r. What is the remainder when h is divided by 11?
5
Suppose p + 4*a - 8 = 0, 0 = -5*a + a. Suppose -11433*r - 2349 = -11171*r - 29073. What is the remainder when r is divided by p?
6
Let z(t) = 41*t + 713*t**2 - 705*t**2 + 2 + 3*t. Calculate the remainder when 902/12 - (-3)/(-18) is divided by z(-6).
23
Suppose -3*j - 241 = -5*i, 5*i - 129 - 108 = j. Calculate the remainder when 93 is divided by i.
46
Calculate the remainder when (264/(-14))/((-37)/518) is divided by 19.
17
Let v = 44 - 40. Suppose v*b - 10 = 2*b. Suppose -3*f - f - d = -183, f - b*d = 72. What is the remainder when f is divided by 24?
23
Let u(i) = 24*i**2 + 3*i + 1. Let m(a) = 14*a + a**3 - 4 - 2*a**2 - 2*a + 12*a**2 + 5*a. What is the remainder when u(-2) is divided by m(-4)?
19
Suppose -237*j = -232*j - 340. Let h = -423 - -437. What is the remainder when j is divided by h?
12
Let p(i) = 2*i**3 - 2*i**2 - 3*i + 4. Suppose -105*n + 115*n + c = 1204, -4*n = 2*c - 472. Calculate the remainder when n is divided by p(3).
28
Let p = 67 + -65. Suppose -p*t + 11*t - 198 = 0. Calculate the remainder when 43 is divided by t.
21
Let r(n) = n**2 - 10*n - 64. Suppose 212 = 8*k + 76. What is the rema