 is divided by 11.
10
Suppose 5*r - 956 = 4*s, 423 = 2*r + 2*s + 19. Calculate the remainder when r is divided by 20.
16
Suppose -9369 = -264*z + 237*z. Suppose -8*t + 116 = -4*t. Calculate the remainder when z is divided by t.
28
Let p(k) = -k**3 - 7*k**2 + 9*k + 28. What is the remainder when 1739 is divided by p(-8)?
19
Let x(r) = 2*r**2 - 21*r - 32. Calculate the remainder when x(14) is divided by 30.
6
Let s(j) = -54*j + 296. Calculate the remainder when s(3) is divided by 1.
0
Suppose -13*x + 794 = -1793. Let a = -169 + x. What is the remainder when 101 is divided by a?
11
Let b = -9 + 14. Let a(t) = -22*t + 430. Let z be a(12). Suppose -37 - z = -29*c. Calculate the remainder when c is divided by b.
2
Suppose 53*y - 145*y = -4048. Calculate the remainder when 221 is divided by y.
1
Let c(k) = 358*k + 41549. Suppose y - 2*v = 2*y - 19, 0 = -2*v + 2. Calculate the remainder when c(-116) is divided by y.
4
Suppose z = 6*q - 7*q + 19, -q + 2*z + 7 = 0. Suppose -166 = q*o - 16*o. Calculate the remainder when o is divided by 24.
22
Let a(b) = 11*b**3 + 2*b**2 - 22*b + 43. Calculate the remainder when 445 is divided by a(2).
65
Let s(d) = 2*d**3 + 42*d**2 + 46*d + 147. What is the remainder when 3212 is divided by s(-20)?
26
Suppose q = 6*q - 560. Suppose 52*z + 8*z = 143273 - 141893. What is the remainder when q is divided by z?
20
Suppose -14*m = -1419 - 345. Suppose 19*u + m = 25*u. What is the remainder when 78 is divided by u?
15
Suppose 0 = -4*i + x + 161, 0 = i - 2*x - 24 - 18. Suppose -24*u = -26*u + i. Let f = 70 + 48. Calculate the remainder when f is divided by u.
18
Let l be (-180)/(-32) + 6/16. Suppose 324 = 8*x - l*x. Let w = -155 - -188. Calculate the remainder when x is divided by w.
30
Suppose -9 = 3*v, -57 = -3*w - 2*w + 4*v. Suppose w = l - 3. Let o(t) = t**3 + t**2 - t + 68. What is the remainder when o(0) is divided by l?
8
Suppose -99*k + 2833 = 1150. Let d be ((-8)/10)/((-8)/20). Suppose d*o - 144 = -o. Calculate the remainder when o is divided by k.
14
Suppose 12*z - 54 = 54. What is the remainder when 6/z - (-1991)/33 is divided by 32?
29
Suppose -69*y + 8505 = 44*y - 987. Calculate the remainder when 346 is divided by y.
10
Let n = 121 + -125. Let r be (-12)/1*n/((-8)/1). What is the remainder when 52 is divided by (-3 - 42)*7/(105/r)?
16
Let b = -6 - -34. Suppose -4*o - 4294 = 5*y, -y - 17*o + 20*o - 855 = 0. Let a = y - -911. What is the remainder when a is divided by b?
25
Let y(p) = p**3 + 15*p**2 - 15*p + 23. Let r be y(-16). Suppose -s = 4, -r*k = -8*k + 4*s + 36. What is the remainder when 115 is divided by k?
15
Let d = -21 - -41. Suppose 9*i + d = 14*i. Suppose 0 = -i*a + 7*a - 42. Calculate the remainder when a is divided by 3.
2
Suppose -341*n = -115*n + 460*n - 188650. What is the remainder when 917 is divided by n?
92
Let d = -8452 + 14193. What is the remainder when d is divided by 34?
29
Suppose 86 + 64 = 3*h. Suppose -3*x + 2*x + 3 = 0, -i - h = 3*x. Calculate the remainder when 81 is divided by (i + 3)/(-4 - -2).
25
Suppose -4*r + 91 = 15. Suppose -m - 640 = -5*m + 2*u, -u = 5*m - 800. Suppose -6*f + f = -m. What is the remainder when f is divided by r?
13
Let l = 1 + 29. Calculate the remainder when 33 is divided by l/3 - (-12)/(-30)*-5.
9
What is the remainder when 337 is divided by 144/(-162)*-9 - (-126)/3?
37
Suppose -58*s = -30*s + 64*s - 276. What is the remainder when 3213 is divided by s?
0
Let a(g) = 167*g + 458. What is the remainder when a(4) is divided by 559?
8
Suppose 0 = 10*u - 505 - 1985. Let l = 399 + -374. What is the remainder when u is divided by l?
24
Let q(s) = 80*s + 6733. What is the remainder when q(-75) is divided by 143?
18
Let r(o) = 23*o + 117. Let a be r(-5). Suppose 77 = a*s + 19. What is the remainder when s is divided by 20?
9
Suppose -4253*x = -4226*x - 4536. What is the remainder when x is divided by 77?
14
Suppose -6*u = -11738 + 11516. Suppose 0*y - 5*y = -10. Suppose -y*k + 1290 = 3*k. What is the remainder when k is divided by u?
36
Suppose 24*l - 3*j = 21*l + 84, -3*l + 4*j = -91. What is the remainder when (16/(-10))/((-4)/160) is divided by l?
1
Let z(f) = 6*f - 15. Let o be z(3). Let w be 3*(-2)/o - -48. Let l = w + 15. What is the remainder when l is divided by 32?
29
Let a(w) = 87 - 19*w + 96 + 101. Calculate the remainder when 137 is divided by a(13).
26
Let y = -81 - -99. Calculate the remainder when 86 is divided by y*(-3)/(-24)*(3 + 5).
14
Suppose 5*g - 5 = 0, 40*b = 36*b - g + 525. What is the remainder when b is divided by 33?
32
Suppose -3*v + 600 = v. Suppose -49*x = 322884 - 323325. Calculate the remainder when v is divided by x.
6
Let o(n) = -26*n - 22. Let t be o(-1). Suppose -2*l + 93 = 3*u + l, 92 = t*u - 4*l. What is the remainder when 188 is divided by u?
26
What is the remainder when 440 is divided by (-24488)/(-78) - (-1552)/30264?
126
Suppose -24 = -4*a + 4*w - 6*w, 0 = -2*a + 4*w - 8. Suppose -3*z = -22*n + 27*n - 78, a*z - 72 = 4*n. What is the remainder when z is divided by 13?
8
Let l = 25608 + -25600. Suppose 3*q - 1 = 4*q, -3*o - 3*q + 84 = 0. What is the remainder when o is divided by l?
5
Let p(m) = 3*m - 8. Let s be (-36 - -5)*(-3 - -6). Let j be 7/28 + 0 + s/(-12). What is the remainder when 38 is divided by p(j)?
6
Let k = -10 + 83. Suppose 2*p = -i + k, 0*p - i = 3*p - 110. Suppose b = -5*j + 94, -3*b + 236 = -4*j - 103. What is the remainder when b is divided by p?
35
Suppose 1402*u - 112 = 1401*u. What is the remainder when 3595 is divided by u?
11
Let f(t) = -124*t + 2121. What is the remainder when 166 is divided by f(16)?
29
Calculate the remainder when 1*-10 + (2284 + -3 - 28) is divided by 174.
155
Suppose -16*j + 852 + 958 + 318 = 0. Calculate the remainder when 411 is divided by j.
12
Let a = 81 - 63. Let o = 490 - 349. What is the remainder when o is divided by a?
15
Let y(d) = 12*d**3 + d**2 + 3*d + 7. Let g be y(-2). Let w = -81 - g. What is the remainder when 89 is divided by w?
9
Suppose -24 = -4*w, 25*w = -5*r + 26*w + 184. Suppose -2*t + 10 = -18. What is the remainder when r is divided by t?
10
Let p(j) = -24*j + 322. Suppose 4*w = 5*l + 30 + 22, -4*l = -3*w + 40. What is the remainder when p(w) is divided by 6?
4
Let n(a) = 8 + 54 + a + 0 - 3*a + 19. Calculate the remainder when 132 is divided by n(27).
24
Let r(a) = 13*a + 1. Suppose -1 = -6*f + 5*f. Suppose 3*p = 547 - 466. Calculate the remainder when p is divided by r(f).
13
Let f be ((-576)/(-20))/(4/(-80)). Let q = f + 644. What is the remainder when 200 is divided by q?
64
Let m(j) = -6*j**2 - 79*j - 71. Let q(t) = 11*t**3 + t**2 - 1. Let k be q(1). Let f = k - 6. Calculate the remainder when m(-12) is divided by f.
3
Suppose -1172 = -2*z + 4*i, -4*i + 787 = 3*z - 1011. Let f = z + -562. What is the remainder when 511 is divided by f?
31
Let z = 3978 + -3898. What is the remainder when 628 is divided by z?
68
Let g be (12/10)/(6/345). Let p = g - 54. Suppose 17 = 4*t - p. Calculate the remainder when 31 is divided by t.
7
Let w = 57 - 47. Let n be ((-100)/(-16) + -4)/(3/16). Suppose n*h = w*h + 22. What is the remainder when 64 is divided by h?
9
Suppose 0 = -13*f + 342 - 82. Calculate the remainder when 374 is divided by f.
14
Suppose 4*b - 46*b = -16716. What is the remainder when b is divided by 10?
8
Let a = 6 - 3. Suppose -5*h + 10 = 3*d - 61, 17 = 2*h + 5*d. Suppose -a*q + 17 = -h. Calculate the remainder when 32 is divided by q.
10
Suppose -27*m + 360 = -18*m. Suppose -23*k + m*k - 697 = 0. Calculate the remainder when 201 is divided by k.
37
Suppose u - 41 = -4*q, 15*q - 10*q - 85 = -2*u. Suppose 2*m + 3 = 27. Calculate the remainder when u is divided by m.
9
Let s = 3899 - -1898. What is the remainder when s is divided by 40?
37
Suppose -4*s + 7*s = 9. Suppose -2*c - 5*l + 4 = 0, -s*c + 8 + 7 = 3*l. Suppose -11*z + c*z + 60 = 0. What is the remainder when 41 is divided by z?
11
Suppose -5*v = -4*m + 610 + 508, -286 = -m - 2*v. Let l = m - 233. What is the remainder when l is divided by 18?
13
Let b = 2155 + -2021. Calculate the remainder when 4548 is divided by b.
126
Let c = 47 + -46. Let u(a) = 3 + 2 - 2*a + a - c. Calculate the remainder when 35 is divided by u(-5).
8
Suppose 0 = x + 150 - 360. What is the remainder when 421 is divided 