3)*x*46. Let z = 79 - v. What is the remainder when z is divided by 18?
15
Suppose -4*g = -0*g. Suppose -3*t + 19 = -w, 8*t - 3*t + 5 = g. Let m = 15 - w. What is the remainder when m is divided by 13?
11
Let h(l) = -3*l - 75. Let a be h(-26). Suppose 0 = y - a*y + 14. Suppose 0 = d + j - 9, -d - 2*j = 2*j - 24. Calculate the remainder when y is divided by d.
3
Let w = 4157 + -4120. What is the remainder when 1329 is divided by w?
34
Let c = -341 + 436. Suppose 106*v - c*v - 55 = 0. Calculate the remainder when 23 is divided by v.
3
Let s(k) = -2*k**2 + 56*k - 234. Let h(o) = o**2 + 2*o + 5. What is the remainder when s(15) is divided by h(-5)?
16
Let a = -438 - -460. Let j = a - 0. Calculate the remainder when 219 is divided by j.
21
Let a(w) = 23*w - 3. Let i = -218 + 299. What is the remainder when i is divided by a(2)?
38
Calculate the remainder when 38 is divided by 70/4*(-80)/(-56).
13
Suppose -225 - 85 = -10*y. Suppose 4*r - 36 = -4*j, -4*j + 7 = 2*r - y. Calculate the remainder when 31 is divided by j.
1
Let c = 161 + -126. Suppose -23*r + c*r = 156. Calculate the remainder when r is divided by 8.
5
Suppose 226*r - 5802 - 12278 = 0. Calculate the remainder when 245 is divided by r.
5
Let a be (-5 + (-50)/(-3))/((-3)/(-9)). Calculate the remainder when 8/20 + 441/a is divided by 6.
1
Let n(i) = -59*i - 146. Suppose -c + 152 = 3*c. Calculate the remainder when n(-5) is divided by c.
35
Let p be 172/60 + 4/30. Suppose -t + 4*t = r + p, -3*r = 3*t - 39. Suppose r*u = 13*u - 48. Calculate the remainder when 32 is divided by u.
8
Suppose -2*a + 10*i - 5*i - 31 = 0, 0 = a - i + 17. Calculate the remainder when 251 is divided by (a/(-81))/(2/126).
13
Let p = -483 + 996. What is the remainder when 163 is divided by (p/36 + -4)*(3 + 1)?
40
What is the remainder when 8361 is divided by (35 + -120)*4*(-1)/20?
14
Let n = 229 + -41. Let d = n - 157. What is the remainder when 120 is divided by d?
27
Suppose 7*l - 8*l + 139 = 3*z, z - 501 = -4*l. Let q be (-3)/9 - 15/9. Let i(c) = 5*c**2 - 4*c - 3. Calculate the remainder when l is divided by i(q).
24
Suppose -2*g = 4*n - 3268 + 578, -3363 = -5*n - 3*g. What is the remainder when n is divided by 142?
104
Suppose a + 3*h + 20 = -h, 3*a - 5*h + 77 = 0. Let c be 42/16 - ((-172)/32 + 5). What is the remainder when (c - (-5)/(-4))/((-1)/a) is divided by 23?
19
Suppose -6*d - 27 = -2*w - d, 4*w = d + 99. Let m = w - 18. Suppose 2*z - 4*p - 98 = 0, p = -3*z + 161 - 21. What is the remainder when z is divided by m?
7
Let j(t) = -t**3 + 7*t**2 + 2*t - 1. What is the remainder when j(7) is divided by 0 + 4 + -6 + 63/(11 - 2)?
3
Let f be (-2 + 4 + -1)*1. Calculate the remainder when -113*(4/8)/(f/(-2)) is divided by 595/21 + 2/3.
26
Suppose -204 + 100 = -4*c. Let d(i) = i**3 + 9*i**2 - 7*i + 3. Calculate the remainder when d(-6) is divided by c.
23
Let y = -6430 + 6852. What is the remainder when y is divided by 77?
37
Suppose -12*q = -1262 - 586. Suppose x + 28 = v, 5*v = 2*x - 17 + q. What is the remainder when 53 is divided by v?
26
Suppose 1918 = -5*v - z, -10*v + 9*v - 2*z = 380. Let p = -349 - v. What is the remainder when 60 is divided by p?
25
Let p(k) = -24*k**2 - 2*k - 18*k**2 + 98 + k**3 + 57*k**2 - 16*k**2. Calculate the remainder when p(0) is divided by 20.
18
Suppose 64*w - 61*w - 39 = 0. Suppose 0 = -13*h + 5*h + 384. Let j = 2 + h. What is the remainder when j is divided by w?
11
Suppose 0 = -4*r + 259 + 1385. Suppose -r = -4*i - p, 246 = 4*i - 2*p - 156. What is the remainder when i is divided by 22?
14
Suppose 0 = 2*c + 5*p - 26, -5*p = -3*c + 27 + 62. Let z(q) = 157*q**3 + 3*q**2 - 133*q + 131. Calculate the remainder when z(1) is divided by c.
20
Let a = -16861 - -17679. What is the remainder when a is divided by 212?
182
Suppose 0 = -14*f - 54 - 2. Suppose 5*h + 90 = 5*l, 4*l - 16 = 3*l + 2*h. Calculate the remainder when 9/((-12)/304*f) is divided by l.
17
Suppose m - 1440 = 140. Calculate the remainder when m is divided by 9.
5
Suppose 3*z + m + 154 = 2591, -3*m = -4*z + 3232. Calculate the remainder when z is divided by 260.
31
Let c be (0/3 + 5 - 447) + -1. Let y = -433 - c. Calculate the remainder when 269 is divided by y.
9
Suppose 5*r = 25, 5*q - 2*r - 43 - 17 = 0. Suppose q*f - 130 = 9*f - 5*p, -5 = 5*p. What is the remainder when 1132 is divided by f?
25
Let b be (-8)/48*-3*0/(-1). Calculate the remainder when 125 is divided by b/(0 - -5) + 42.
41
Suppose 3*p - 5*w = 275, 5*w = -5*p + w + 409. Suppose p*m - 90*m - 10 = 0. What is the remainder when 24 is divided by 440/64 + m/(-16)?
3
Let t = -36 - -51. Let y = t + -4. Suppose -23*x + 3*c = -18*x - 285, -3*c = -x + 69. What is the remainder when x is divided by y?
10
Suppose -u + 1109 = -0*r + r, 5*r - 1105 = -u. Suppose -38*b + u = -b. What is the remainder when b is divided by 4?
2
Let g = -66480 + -4599. Calculate the remainder when g/(-145) - (18/15 + -1) is divided by 29.
26
Let f(x) = x**3 + 7*x**2 + 136*x + 661. Suppose -2*y = -y - 11. What is the remainder when f(-5) is divided by y?
9
Suppose g - 44 = -4*z, -z + g = z - 22. Suppose -2*s + 4*s - 4 = d, -z = -d - 3*s. Calculate the remainder when 49 is divided by d/4 + -11*6/(-4).
15
What is the remainder when 1179 is divided by (-17)/153 + (-3192)/(-54)?
58
Let v be -28*1 + 2 - 3. Let x = 32 + v. Calculate the remainder when 3688/64 - x/(-8) is divided by 15.
13
Suppose 1333 = -30*d + 5413. Calculate the remainder when d is divided by 38.
22
Let j(i) = -3*i**2 + 38*i - 49. Let y be j(10). Suppose 3*u = 4*a - 2498, 35*u = y*u - 8. Calculate the remainder when a is divided by 13.
12
Let z = -92502 - -92529. Calculate the remainder when 2*(249/6 + 2) is divided by z.
6
Suppose 95*l = 44003 + 17177. Calculate the remainder when l is divided by 90.
14
Let q(k) be the first derivative of -3*k**2 + 31*k - 99. Calculate the remainder when q(-6) is divided by 19.
10
Calculate the remainder when 829 is divided by (-56)/(-6)*(-6 + 9).
17
Suppose 5*v = -y + 12, -2*y + 33 = 3*v + 9. Let j = -7 + y. Suppose -31 = j*r - 96. What is the remainder when 50 is divided by r?
11
Let s = -4077 - -4165. What is the remainder when 537 is divided by s?
9
Let i be ((-2)/(-3))/((-8)/(-528)). Let q be i/6 - 8/(-12). Calculate the remainder when 46 is divided by 2/(-8) + 46/q*3.
12
Suppose -2*b - 5*f + 14 = 0, 4*f - 7 = -b - 3. Calculate the remainder when 38/4 - (b/(-8))/3 is divided by 3.
1
Let z(u) = -u**3 - 2*u**2 + 20*u + 150. What is the remainder when z(-12) is divided by 257?
65
Let a(k) = -4 + k - 1 + 1. Let i(l) = l**3 - 9*l**2 + 10*l - 2. Calculate the remainder when i(8) is divided by a(7).
2
Let v = -1890 + 2059. What is the remainder when 6419 is divided by v?
166
Suppose 3*i + 150 = 288. Let j = -34 - -13. Let w = 3 - j. What is the remainder when i is divided by w?
22
Let m = 4791 + 3097. What is the remainder when m is divided by 13?
10
Suppose -5*r - 6572 = -36*r. Calculate the remainder when r is divided by 171.
41
Suppose -14*d = -89 + 5. Let p = 6 + -41. Let w = p - -45. Calculate the remainder when w is divided by d.
4
Let j = 2019 + -1311. Suppose 4*n - 10*n = j. Let l = -36 - n. Calculate the remainder when l is divided by 17.
14
Suppose -5*y = -3*t - 292, 2*t - 1896 = -y - 1835. Suppose 5*o = -h + 9 + 123, 0 = -4*h - 3*o + 477. What is the remainder when h is divided by y?
58
Calculate the remainder when (-2033)/(-5) - (-6 + (-420)/(-75)) is divided by 94.
31
Suppose -126*n + 15144 = -102*n. What is the remainder when n is divided by 129?
115
Let f = 3892 - 3812. What is the remainder when 11035 is divided by f?
75
Calculate the remainder when 654 is divided by 1869/35*(-85)/(-51).
31
Suppose f + 6*n = 3*n + 262, -1340 = -5*f - 5*n. Calculate the remainder when f is divided by 132.
7
Suppose -4*w = 8, 3*w + 41 = -k + 125. Calculate the remainder when 1273 is divided by k.
13
Let l = 306 + 3168. Calculate the remainder when l is divided by 79.
77
Let d(h) = 6 - 7 - 6 - 7*h - 8 + h**2. Let s be d(9). Suppose s*z + 55 = 3*q + 19, 0 = 3*q + 5*z - 52. Calculate the remainder when 24 is divided by q.
10
Suppose 19*x - 4285 = 2720 - 2559. What is the remainder when x is divided by 104?
26
Suppose 0 = 7*v - 5*v - 4*g - 330, -2*v - g + 355 = 0. What is the remainder when 606 is div