ppose 0 = -q - 27 + 31. Suppose -2*o - 215 = -a, q*a - 21 = -2*o + 819. What is the remainder when a is divided by 18?
13
Suppose 4*d = 24*d - 207225 - 177515. Calculate the remainder when d is divided by 52.
49
Suppose -3*g = 3*g + 9*g - 225. Calculate the remainder when 275 is divided by g.
5
Suppose 0*c = 3*c. Suppose v - 6*v + 205 = c. Suppose 0 = -u - 5*n - 6, 3*n = -19*u + 20*u - 26. What is the remainder when v is divided by u?
13
Let a(h) = 5*h + 1023. Calculate the remainder when a(-21) is divided by 77.
71
Suppose 4*j + 176 = 4*c, j - 239 = -5*c - 37. What is the remainder when 64 is divided by c?
23
Suppose 85 + 23 = 2*i. Let n = 51894 + -51877. Calculate the remainder when i is divided by n.
3
Let t = 97 + 93. Suppose -335*j + 325*j = -t. What is the remainder when 378 is divided by j?
17
Suppose -p + 3*p - 38 = 0. Let b(v) = v**3 + 57*v**2 + 106*v - 113. Calculate the remainder when b(-55) is divided by p.
12
Let z = -8479 + 8562. What is the remainder when 1497 is divided by z?
3
Suppose -465*u - 16867 + 46701 = -458*u. What is the remainder when u is divided by 147?
146
Suppose -7 = -3*j + 2*s + 8, j - 6 = s. Suppose -i = -2*h - 4*i + 62, j*i - 155 = -5*h. Calculate the remainder when 141 is divided by h.
17
What is the remainder when -6 + ((-40)/(-25))/((-4)/(-7170)) is divided by 35?
27
What is the remainder when 2136 is divided by (-31 - 1)*(13889/68)/(-43)?
8
Let m(p) = -5*p + 127. Calculate the remainder when 1171 is divided by m(22).
15
Let t be (12/(-9))/(4/(-6)) + 0. Let y(m) = -m**3 - 31*m**2 + 2 + 21*m**2 + t*m**3. Calculate the remainder when 2 is divided by y(10).
0
Suppose 0*k - k + 6 = 0. What is the remainder when 58/(-2*(-3 + 2)) is divided by (-12)/(((-8)/k)/2*1)?
11
Let s = -18 + 1. Let l be (1 + s)*((-2 - 1) + -3). Suppose 260 = 2*c + l. Calculate the remainder when c is divided by 28.
26
Let c(t) = 51*t + 36. Let j = 41 - 30. Calculate the remainder when c(j) is divided by 23.
22
Let d be 1/2*((-3)/3 + 37). Suppose -d*m + 11*m = -30625. What is the remainder when (m/10)/7*2 is divided by 32?
29
Suppose 0 = -3*b - 3*q - 1323, -3*q - 435 = b + 8. What is the remainder when b/3*(-6)/(-18)*-9 is divided by 26?
24
Suppose 360*z - 23775 = 26085 + 35100. What is the remainder when z is divided by 40?
36
Suppose 272*o = 227*o + 7020. What is the remainder when o is divided by 53?
50
Let s = -11 + 17. Suppose 0 = -s*p + p + 220. Let v(a) = -a**3 - a**2 + a + 15. Calculate the remainder when p is divided by v(0).
14
Let a(w) = -10*w + 2. Suppose -3*m + 26 = -4*y + 89, 3*m = y - 27. Suppose 8*t = 9*t - y. What is the remainder when a(-2) is divided by t?
10
Suppose 87*m = 6*m + 18468. Calculate the remainder when m is divided by 73.
9
Suppose -326*p + 3933 = -257*p. What is the remainder when 637 is divided by p?
10
Let m(x) = -2*x**3 - 2*x**2 - 4*x - 2. Let c(r) = -r**3 + 7*r**2 + 441*r + 17. Calculate the remainder when c(-18) is divided by m(-3).
41
Let w be (7/(7/(-3)))/1. What is the remainder when 38 is divided by 0 + w + 8 - -1?
2
Suppose 164*y = 4275 - 2066 + 5171. Calculate the remainder when 1528 is divided by y.
43
Let o(q) = -q**3 - 4*q**2 - 2*q + 4. Let j = 33 + 45. Suppose j + 106 = 2*g. What is the remainder when g is divided by o(-4)?
8
Calculate the remainder when 249 is divided by (34/8)/(289/4624).
45
Suppose 356 = 4*l - 2*s, 3*l + 2*s = -3*s + 241. Calculate the remainder when 246 is divided by l.
72
Suppose 0 = -22*v + 4352 + 7902. Calculate the remainder when v is divided by 266.
25
Suppose 36 + 5 = 3*w - 4*g, g - 9 = -2*w. Calculate the remainder when (-6)/(-12) - ((-105)/6 + -2) is divided by w.
6
Let a(k) = 29*k**2 + 5*k - 4. What is the remainder when 9569 is divided by a(9)?
9
Let n = -37543 - -37841. Calculate the remainder when n is divided by 184.
114
Let b = 46 + 4. Let i = 362 - 197. Calculate the remainder when i is divided by b.
15
Suppose 8*c = -29*n + 6*c + 30889, -3*n + 4*c = -3187. What is the remainder when n is divided by 22?
9
Suppose 737431 + 84897 = 69*r - 16988. Calculate the remainder when r is divided by 154.
152
Suppose -3*g = 1493*n - 1498*n + 95, -n + 19 = g. What is the remainder when 98 is divided by n?
3
Suppose 0 = -74*d + 6889 + 5617. What is the remainder when d is divided by 37?
21
Let r = -40840 + 40847. What is the remainder when 3434 is divided by r?
4
Let q be (126/4)/9*34. Let y = q - 24. What is the remainder when y is divided by 53?
42
Suppose 3*p = 26028*y - 26027*y + 90, 5*y - 110 = -5*p. Suppose 14 = 5*l - 391. Calculate the remainder when l is divided by p.
25
Suppose 177*u = -50*u + 5866 - 872. Let b(z) = -103*z**3 + z + 1. Calculate the remainder when b(-1) is divided by u.
15
Let q(v) = -2*v**2 - 25*v + 13. Let z be q(-13). Let n be 2259/36*(4 - z)*2. Suppose -7*r = -n + 131. What is the remainder when 105 is divided by r?
52
Suppose -5*p - s = -5*s + 6, 6 = 5*p - s. Suppose -10 = 5*r, 4*n + p*r = 103 + 317. Suppose t - 25 = 2. What is the remainder when n is divided by t?
25
Let j be (-1)/5*90/(-24)*4. Suppose -j*h - 1 = p - 13, -3*p = -5*h + 20. Suppose 2*m - h - 44 = 0. What is the remainder when 69 is divided by m?
21
What is the remainder when 1817 is divided by (3/2)/((-6)/16912*-7)?
5
Let g = 8 - -1. What is the remainder when (2/(-2 - -14))/((-22)/(-8844)) is divided by g?
4
Let u(c) = -20*c - 200. Let a be u(-21). Let q = a - 55. Calculate the remainder when q is divided by 38.
13
Suppose 0 = 5430*u - 5442*u + 1404. What is the remainder when u is divided by 14?
5
Let k = 9141 + -4465. Calculate the remainder when k is divided by 18.
14
Let m(k) = -67*k**2 - 292*k - 6. Calculate the remainder when 354 is divided by m(-4).
84
Let k(f) = -3*f - 18. Suppose -10*t + 5*t + 55 = 0. Let r(n) = n**2 - 12*n. Let d be r(t). What is the remainder when k(d) is divided by 6?
3
Let k(c) = 134*c + 1122. Suppose -5 = -3*x - 2. What is the remainder when k(-8) is divided by 2 + (18*1 - x)?
12
Let p(z) = -z**2 + 12*z - 8. Let r = -889 + 924. Calculate the remainder when r is divided by p(10).
11
Let s(c) = 13*c + 7. Let u(t) = t + 17. Let v be u(-13). Let o = 1129 - 1117. What is the remainder when s(v) is divided by o?
11
Let c be 26/10 - (-2)/5. Suppose 0 = c*h + n + 2*n - 72, -114 = -5*h - 2*n. What is the remainder when h is divided by 28 - ((-5 - 11) + 31)?
9
Suppose -922 = -85*u - 242. Let v = -5 + 7. Suppose v*t - 4*t = -30. What is the remainder when t is divided by u?
7
Let l(g) = 13*g + 270. Let f be l(-30). What is the remainder when 97 is divided by ((-96)/f)/((-1)/(-5))?
1
Let f(s) = -2*s**2 - 92*s - 937. Calculate the remainder when 1718 is divided by f(-29).
3
Suppose -k + x = -2*k + 33565, -3*k + 100727 = -5*x. What is the remainder when k is divided by 154?
151
Suppose -2*f - 234 = -4*s, -127 - 168 = -5*s + 2*f. What is the remainder when 1275 is divided by s?
55
Suppose 263*q - 256*q = 182. Suppose 110 + 42 = -2*h + y, 0 = -h + y - 76. What is the remainder when q is divided by h/(-5) + 7/(-35)?
11
Let u be ((-9)/5*1338)/((-1)/5). Suppose 4*w - 1866 + u = 0. Calculate the remainder when (3/(-6))/(6/w*4) is divided by 14.
11
Suppose -4*w - 25*w = -348. Suppose 14*p - 4394 = -w*p. What is the remainder when p is divided by 19?
17
Let m(k) = k**3 - 16*k**2 + 40*k - 263. What is the remainder when m(17) is divided by 237?
232
Suppose -3*d = 0, -14*d + 170 = 2*o + 3*o - 13*d. Calculate the remainder when 1529 is divided by o.
33
Let q be (2/(-2))/(29/(-261)). Suppose 12*t = 9*t + q. Let x = 40 + -27. What is the remainder when x is divided by t?
1
Let u(l) be the first derivative of 5*l**2/2 - 2*l - 31. Let r be u(2). Suppose 0 = r*g - 7*g - 48. What is the remainder when g is divided by 19?
10
Let i = -311 + 331. Suppose 2*f = -10 - 2. Calculate the remainder when i/f*(-2 - 492/15) is divided by 39.
38
Let n(p) = -p**2 + 9*p + 5. Suppose -12*q + 2476 + 416 = 0. Suppose 0 = -2*c - 2*w + 98, -3*w - 49 = 4*c - q. What is the remainder when c is divided by n(6)?
22
Let o be (-201*(2 - 3))/1. Suppose 11*u - 12*u = -o. Calculate the remainder when u is divided by 12.
9
What is the remainder when 523 is divided by (-4)/(-3)*18/(-16)*7236/(-81)?
121
What is the remainder when 9544 is divided by ((-14)/(-6))/(232/(-348)) + 81/2?
35
Suppose 0 = -2*g +