ppose 445*a - 454*a + 27 = 0. Suppose -a*s - 193 = -c - 0*c, c = -5*s + 153. What is the remainder when c is divided by 54?
16
Let b = -71 + 91. Suppose 231*y - 235*y = -28. Calculate the remainder when b is divided by y.
6
Suppose 728 = 10*p - 1712. Let f = -199 + p. Calculate the remainder when 493 is divided by f.
43
Suppose -551 - 380 = -133*t. What is the remainder when 751 is divided by t?
2
Let y be (2 + 2)/2 - 1*83. Let s = 81 + y. Suppose -g + 256 = 5*t, -3*g = -s*t + 2*t - 105. Calculate the remainder when 200 is divided by t.
47
Suppose 0*k + 3*z - 22 = -k, -5*z = -k - 10. Suppose -2*h - 209 = -3*v + 85, 4*h - 98 = -v. What is the remainder when v is divided by k?
8
Let m = 456 + -239. Let d = -191 + m. Calculate the remainder when d is divided by 15.
11
Suppose 1170 = 5*y - 5*p, 5*p - 8 = 2. Suppose -474 = -5*a + y. What is the remainder when a is divided by 77?
65
Suppose 0 = -15*r + r + 210. What is the remainder when 57 is divided by r?
12
Let j(n) = 900*n - 619. Calculate the remainder when j(2) is divided by 1168.
13
Suppose -3*f = x - 190, 0 = 4*f - 3*f - 5*x - 74. Let l = -36 + f. Calculate the remainder when 391 is divided by l.
27
Let c(i) = 3*i**2 - 19*i - 14. Let u be c(7). Suppose 104*r - 105*r + 70 = u. What is the remainder when 276 is divided by r?
66
Calculate the remainder when 1217 is divided by 2260/339*(-3)/(-2).
7
Suppose 47*z = 33*z + 1932. Suppose -z*l + 176 = -116*l. What is the remainder when 663 is divided by l?
7
Suppose -37*f - 4550 = -20201. What is the remainder when f is divided by 80?
23
Let q(c) = -9*c**3 + 2*c**2 - 3*c + 1. Let k(p) = -16*p**3 + 5*p**2 - 6*p + 3. Let i(r) = 4*k(r) - 7*q(r). Calculate the remainder when 102 is divided by i(2).
12
Suppose 7*o - 9*o = -5*s - 610, 2*s + 5*o + 273 = 0. Let w = 201 + s. What is the remainder when w is divided by 22?
11
Suppose 3*t + 3*q - 27 = 24, 5*t - 5*q - 125 = 0. Let m(u) = 52*u**3 + u**2 + 6*u - 6. What is the remainder when m(1) is divided by t?
11
Let j(l) = -38*l**3 + 2*l - 9. Let y be j(2). Let h = y + 365. Calculate the remainder when ((-332)/(-6))/((-1)/(-3)) is divided by h.
54
Suppose -41*w = -459 - 935. What is the remainder when 124 is divided by w?
22
Suppose -39*q = -135*q + 2400. Suppose -3 + 5 = -b. Calculate the remainder when q is divided by b/(-4)*26 - -1.
11
Suppose 4*a - q - 399 = 0, 6*a - 116 = 5*a - 3*q. What is the remainder when 503 is divided by a?
99
Let y = -31761 - -33639. What is the remainder when y is divided by 188?
186
Suppose 108 = 3*z - 9*z + 15*z. Calculate the remainder when z is divided by 6.
0
Let q = 14940 - 2847. What is the remainder when q is divided by 41?
39
Suppose 3*a = -5*s + 12, -3*s + 8 = -a - 2. Suppose 0*b - 128 = -5*b + z, s*b = 2*z + 74. Calculate the remainder when 96 is divided by b.
18
Let u = -12 - -16. Suppose i = -5*p + 180, u*p + 0*i - 144 = -3*i. Suppose -36 = -6*j + p. Calculate the remainder when 45 is divided by j.
9
What is the remainder when ((-4284)/(-408))/((-6)/(-8)) - -63 is divided by (1 - 12)/(4 - 5)?
0
Let f = -79 + 83. Let y be ((-4)/f - 2) + 117. What is the remainder when 18 is divided by (-33)/55 + (y/(-5))/(-3)?
4
Let y(z) = 27*z - 3369. What is the remainder when 2289 is divided by y(125)?
3
Let z(j) = j**3 + 8*j**2 - 8*j + 6. Let q be z(5). Let v = -203 + q. Calculate the remainder when v is divided by 32.
24
Let q = -44 + 46. Suppose -q*l + 5*l = 4*i + 67, 54 = 2*l + 2*i. Suppose 0 = -2*c - j - 3*j + 34, -j = 2*c - l. What is the remainder when 41 is divided by c?
8
Suppose 5*f = -p - 3*p + 18, 0 = 5*f + p - 12. Let i = 554 + -520. Calculate the remainder when f/(-12) - (-6010)/60 is divided by i.
32
Let c = -13 + 23. Suppose 246 = 11*j - 5*j. Let t = j + -30. Calculate the remainder when t is divided by c.
1
Suppose -6*h + 21 = 3. Suppose h*y + 20 = -1. Let m = y + 13. Calculate the remainder when m is divided by 5.
1
Let a(m) = 5*m + 33. Let n(l) = -26*l - 163. Let q(j) = -11*a(j) - 2*n(j). What is the remainder when 86 is divided by q(-21)?
8
Let g = 213022 - 212969. Let y = 4 + 10. Calculate the remainder when g is divided by y.
11
Let r(p) = 8*p**2 - 5*p - 8. Let g be r(3). Let y = g + 80. Calculate the remainder when y is divided by 33 - (-1 - -1)/2.
30
Let i(c) = 89*c**3 + 2*c**2 - 1. Let d be i(1). Suppose -5*o + 5*u = -d, 3*o - 7*o = u - 47. Calculate the remainder when 166 is divided by o.
10
Let m(j) = 8*j - 1. Let p(o) = -o**3 + 21*o**2 - 48*o - 66. Calculate the remainder when p(15) is divided by m(8).
60
Let l be 2*7*-2 + -4. Let a = -100 - -93. Let p = a - l. What is the remainder when p is divided by 16?
9
Suppose -n = -4*n + 6. Suppose -i + 2*w = -29, -n*i - 96 = -6*i + 3*w. What is the remainder when i is divided by 12?
9
Let k(i) = 107*i - 3. Let c be k(-1). Let z = c - -115. Suppose a - 74 = 2*j + 1, -2*a + z*j + 153 = 0. What is the remainder when a is divided by 18?
15
Let d = 403 + -349. Suppose 254 = 4*q - 4*x + 38, -4*x + d = q. What is the remainder when q is divided by (-6)/(-4)*(-20)/(-2)?
9
Let j = 24 + -2. Let r = 101 + -97. Suppose r*w - 200 = -2*l - 54, 4*l = -2*w + 268. Calculate the remainder when l is divided by j.
21
Suppose 3*m - 6 = 36. Calculate the remainder when 174/(-180) + (-2)/(-3) + 14364/280 is divided by m.
9
Let u = -5449 - -6288. What is the remainder when u is divided by 40?
39
Let h(t) = 8*t**3 - 11*t**2 - 3*t - 7. Let i(c) = -6*c**3 + 11*c**2 + 2*c + 8. Let v(w) = 2*h(w) + 3*i(w). What is the remainder when v(5) is divided by 9?
8
Suppose 0 = -4*z - 4*w + 340, -4*z + 4*w + 173 + 127 = 0. Calculate the remainder when 386 is divided by z.
66
Suppose -4*o = 19*n - 22*n - 633, 2*n - 292 = -2*o. What is the remainder when 182 is divided by o?
29
Let z(x) = -107*x + 2849. Calculate the remainder when z(25) is divided by 73.
28
Let u be 5*2 - (-4 + 1). Suppose -54 = -u*o + 10*o. Suppose -3*b = 4*g + 1 - 129, -g + b + 39 = 0. What is the remainder when g is divided by o?
17
Let w(l) = 147*l + 5020. Calculate the remainder when 3805 is divided by w(-34).
21
Let g(u) = -136*u**2 + 1366*u - 15. Calculate the remainder when 3731 is divided by g(10).
41
Let b(l) = -188*l + 38. Let p be b(-3). Suppose -p*h - 2163 = -609*h. What is the remainder when h is divided by 31?
30
Suppose -5*u + 82 + 68 = 0. Suppose u*s + 522 = 48*s. Calculate the remainder when s is divided by 10.
9
Suppose -9 = u - 1. Let h be (4/(-8))/(1/u) + -1. Suppose -h*o = -128 - 118. What is the remainder when o is divided by 21?
19
Suppose 3*y - 2005 = -s, -y - 3*s + 317 = -346. Suppose 5*m - 25 = 0, 7*v - 10*v + m = -196. What is the remainder when y is divided by v?
66
Let s(d) = 492*d + 180. Calculate the remainder when s(7) is divided by 93.
90
Let k(q) = 3*q**2 - 172*q - 664. Calculate the remainder when 270 is divided by k(61).
4
Let u be (-24)/(-168) - 2896/(-14). Suppose -5*g - 2*s = -0*g - u, 0 = -4*g - 3*s + 160. What is the remainder when g is divided by (-58)/(-6) - 2/3?
7
Let g(d) = d**3 + d - 10. Let i be g(0). Suppose 0 = -40*t + 94 + 196 - 50. What is the remainder when (-965)/i + 3/t is divided by 33?
31
Let p be 24/(-96) - 1283/4 - -1. Let n = p - -693. Calculate the remainder when n is divided by 15.
13
Let p = 15 - 13. Suppose 56 = p*h + 4*b, -h - 2*b - 3*b = -40. What is the remainder when 56 is divided by (7 - 6)/(1/h)?
16
Suppose -41*g + 3713 = -30*g - 3877. What is the remainder when g is divided by 227?
9
Let z(r) = -3*r**2 - 2*r + 14. What is the remainder when z(0) is divided by 0 - 3/(-3) - 84/(-21)?
4
Suppose 50*f + 7 - 1057 = 0. Suppose -318 = 5*q + 67. Let y = q + 160. Calculate the remainder when y is divided by f.
20
Let z(m) = m**3 + 9*m**2 - 10*m + 3. Let b be z(-10). Let n be ((-90)/15)/(b/(-4)). Suppose 5*c - n*c = -39. What is the remainder when 62 is divided by c?
10
Suppose 6324 = -5*t + 56*t. What is the remainder when 339 is divided by t?
91
Let w = 47377 + -47281. Let u(b) = b**2 - b + 5. Calculate the remainder when w is divided by u(5).
21
Let n = -466 + 470. Suppose -n*h + 110 = 5*k + h, -5*h = 4*k - 83. What is the remainder when 127 is divided by k?
19
Suppose 4*b = -5*o + 249 + 284, 3*b - 5*o = 356. Let m = b + -38. Calculate the remainder when m is divided by 30.
29
Suppose -19*q + n - 481 = -22*q, 4*q - 4*n -