der when a is divided by b.
3
Let y be (7/7 - 1) + 5. Suppose 70 = y*x - 0*x + 5*g, g + 13 = 2*x. Calculate the remainder when 70 is divided by x.
7
Let v = 17 + -12. Suppose -4*d + 14 = 5*f, v*f - 2*f = -4*d + 10. What is the remainder when -2 + 29/d + 0 is divided by 6?
3
Suppose 0 = 5*f - 5, 5*r - 503 = 5*f + 452. Calculate the remainder when 601 is divided by r.
25
Let c be (-2 - (-3 - 0)) + 1. Let d(x) = -x**3 - 2*x**2 + 11*x + 16. Calculate the remainder when 12/(-2 - c) - -74 is divided by d(-5).
35
Suppose 5*g - 29 = 4*g. Suppose -3*i + 4*r = -2*i - 76, -5*i + 404 = 4*r. Calculate the remainder when i is divided by g.
22
Let q(p) = -p**2 - 22*p - 28. Suppose 201*y - 199*y = -38. Let h(d) = d**2 + 3*d + 6. Calculate the remainder when q(y) is divided by h(-4).
9
Let g = 2926 + -2478. Calculate the remainder when g is divided by 115.
103
Let c be 2/6 + 1703/39. Let l be (-125)/(-2)*c/(-55). Calculate the remainder when 25 is divided by (280/l)/(-1 + 6/10).
11
Suppose 22 = s + 2. Suppose 17 + 108 = 5*q. Suppose -5*d + q*b - 20*b = -260, 0 = -b + 2. What is the remainder when d is divided by s?
14
Let f(r) = 25*r + 236. What is the remainder when 999 is divided by f(-9)?
9
Let i = -9 - -18. Let t be (-6)/(1/4*-6). Suppose 0 = -5*b - 4*s + 201, 0 = t*s + 3 + 1. Calculate the remainder when b is divided by i.
5
Let g(h) = 343*h - 677*h + 339*h + 142 + 4. What is the remainder when g(0) is divided by 19?
13
What is the remainder when 74 is divided by ((-405)/(-54))/((-1)/(-2)) + 5?
14
Let q = 42 - -4. Let y = q - 40. Suppose 3*k - 3*d = y, k - 16 = -k - 2*d. What is the remainder when k is divided by 2?
1
Suppose -337*i - 235*i = -14872. Let t = 19 + 133. What is the remainder when t is divided by i?
22
Let w(b) = -b**3 + 11*b**2 + 42*b - 11. Let l be w(14). Let h(r) = r**2 + 4*r - 24. Calculate the remainder when h(l) is divided by 6.
5
Let l(v) = 21*v**2 + v + 9. Let u be l(-3). Let t = u - 113. Calculate the remainder when t is divided by 12.
10
Suppose -x - 4*t = 9, 3*x - 3*t - 24 = -2*x. Suppose -327 = x*q - 393. What is the remainder when 63 is divided by q?
19
Let g be (0 + ((-1332)/(-8))/(-9))*-14. Let k be (-5 - g/(-4)) + 3/12. Let y = -59 + k. Calculate the remainder when 3 is divided by y.
0
Suppose -5*u = 9*u - 280. Let a(d) = -d**3 + 22*d**2 - 38*d + 10. Suppose -4*l + 0*l = -104. What is the remainder when a(u) is divided by l?
24
Suppose 1668 - 3466 - 11542 = -5*u. Calculate the remainder when u is divided by 89.
87
Suppose -4*x = 2*i + 2351 - 645, 2134 = -5*x - 2*i. Let v = -368 - x. Calculate the remainder when v is divided by 32.
28
Let o = -6814 - -6945. Calculate the remainder when 388 is divided by o.
126
Let n(w) = 7*w**3 - 2*w**2 - 7*w - 10. Suppose -90*u - 228 = -93*u. Calculate the remainder when n(4) is divided by u.
74
Let x(i) = -i + 8. Let m be x(6). Suppose m*c - 9 - 27 = 0. Let y = 10881 - 10792. Calculate the remainder when y is divided by c.
17
Let r(x) = 8*x**3 + 10*x - 21. Let f(k) = -k**3 + 7*k**2 - 9*k. Let l be f(2). Calculate the remainder when 188 is divided by r(l).
62
Let k = 24 - -1. Let b = k + 10. Suppose 12*h - 8*h = 4*u + 88, 2*h + u - 35 = 0. Calculate the remainder when b is divided by h.
16
Let i(j) = -j - 2. Let b = 138 - 142. Calculate the remainder when 19 is divided by i(b).
1
Suppose -5*r - 4*u = -411, -2*r - 45 = -2*u - 195. What is the remainder when 156 is divided by r?
77
What is the remainder when (-284)/(-2) + 12 + -16 is divided by ((-60)/(-18))/((-2)/(-12))?
18
Let p(m) = 70*m - 205. Let f be p(3). Let d = -5 + 8. Suppose -f*r + 5*u = u - 38, 0 = d*r + u - 33. What is the remainder when 16 is divided by r?
6
Let v(u) = -135*u - 148. Calculate the remainder when v(-15) is divided by 47.
44
Let w(a) = -a**3 + 63*a**2 - 176*a - 105. What is the remainder when w(60) is divided by 7?
2
Suppose -3*q = 1353*j - 1357*j + 33, 2*j - 4*q = 14. Calculate the remainder when 1349 is divided by j.
8
Suppose 5*a = -3*o + 763, -600 = 4*a - 8*a - 5*o. Calculate the remainder when 602 is divided by a.
137
Let l(f) = 13*f**2 + 2*f - 14. Let c be l(4). Let s = c - 182. What is the remainder when 158 is divided by s?
18
Suppose p = -2*p - 3*c - 3, c = -4*p + 11. Let q(j) = 15*j**2 + p*j**3 - 7*j**3 - 1 + 2*j**3 - 10*j - 31. Calculate the remainder when 95 is divided by q(14).
23
Suppose 0 = 5*a - a + 5*p + 367, 5*p + 269 = -3*a. Let d = 142 + a. Let j = -185 + 208. Calculate the remainder when d is divided by j.
21
Let c(t) = 2*t**2 + 5*t + 7. Let j(y) = 0*y**3 + 2 + 8*y - 3*y - 6*y + 7*y**3. Calculate the remainder when j(2) is divided by c(-4).
18
Suppose -1767*g - 19361 = -193559 - 48444. Suppose -65 = -3*n + 34. Calculate the remainder when g is divided by n.
27
Suppose 25*q = 21*q + 2*k + 108, -3*q + 3*k + 75 = 0. Calculate the remainder when 34770 is divided by q.
28
Let n = 2024 - 1981. Let h = -38 + 20. Let m = 189 + h. What is the remainder when m is divided by n?
42
Let m = 101 - 67. Suppose -5*q + 50 - 30 = 0. Let f(n) = 5*n - 2. What is the remainder when m is divided by f(q)?
16
Let z = 28455 + -19642. What is the remainder when z is divided by 196?
189
Let d = 173 + -150. Suppose -2*i = 114 + 32. Let z = 85 + i. Calculate the remainder when d is divided by z.
11
Let l(t) = 8 + 9*t + 10*t - 20*t. Let k be 1/(-7) - (870/35 + 3). What is the remainder when l(k) is divided by 13?
10
Let o(l) = 2*l**2 - 6*l - 11. Let a be o(0). Suppose 3*v - 2*w - 54 = w, -4*v = 4*w - 48. What is the remainder when v is divided by (1 - a) + (-36 - -31)?
1
Suppose 5*i - 2*i = 2091. Let n(b) = b**2 + 1141*b - 149870. Calculate the remainder when i is divided by n(119).
67
Let z(f) = -f**2 - 50*f - 257. Let j be z(-37). Suppose 215*p = j*p - 1188. What is the remainder when p is divided by 15?
12
Let y(t) = -4*t + 3. Let w be y(0). What is the remainder when 50 + -1 - (w + 1) is divided by 12?
9
Suppose 5*l - 9 = -49. Let r be (6/9)/(l/54)*-2. Calculate the remainder when 1338/r - (-4)/(-24)*4 is divided by 50.
48
Let v(p) = 2*p**2 + 8*p + 7. Let t = -153 - -148. Suppose -15*z + 8*z = -343. Calculate the remainder when z is divided by v(t).
15
Suppose -2*o + 3*o + 11089 = 14*o. What is the remainder when o is divided by 151?
98
Let m be (-12)/18*(1 - 1*4). Let x = m - -28. What is the remainder when 18 is divided by ((-8)/10)/((-12)/x)?
0
Let s = 13417 + -13328. Calculate the remainder when 1503 is divided by s.
79
Suppose -5*z - 2*m + 43457 = 0, -1346*m + 8694 = z - 1343*m. Calculate the remainder when z is divided by 63.
60
Let k = 4362 + -3763. What is the remainder when k is divided by 60?
59
Let t be 4 - (35/(-5) - -5). Suppose 0 = 4*w + 4*f - 320, -4*w + 7*f + 340 = t*f. Suppose -18*v + w = -15*v. Calculate the remainder when 79 is divided by v.
23
Let m(p) = -2*p**2 - 10*p - 4. Let r be m(-5). Let a(d) = 2*d**2 - 8*d - 38. Calculate the remainder when a(r) is divided by 14.
12
Suppose 294*i = 295*i + 634. Let b = i - -762. What is the remainder when b is divided by 71?
57
Suppose 58*q - 124 = 2834. Suppose -4*z - 17 = -3*r - 147, 182 = -5*r - 2*z. Let o = q + r. What is the remainder when 126 is divided by o?
9
Let r(o) = o**2 - 12*o - 898. What is the remainder when 2937 is divided by r(-43)?
3
Let p be 4510/154 + (-2)/7. Let s = -19 + p. Calculate the remainder when 139 is divided by s.
9
Let g = -447 - -452. Suppose 13*v + g*v = 90. Calculate the remainder when 93 is divided by v.
3
Let v(o) = 49*o**3 - 3*o**2 + 2*o. Let y be v(1). Let s = y + -41. Let j(z) = z + 5. What is the remainder when s is divided by j(0)?
2
Let k(j) = 27*j + 91. Calculate the remainder when (0 + (-474)/12)*(0 - 6) is divided by k(-3).
7
Let w be -3530 - 0 - (60/(-12) - -3). Let s = -2305 - w. Calculate the remainder when s is divided by 12.
11
Let a = -5960 + 6537. What is the remainder when a is divided by 50?
27
Let b(p) = -2*p**2 - 74*p + 98. Calculate the remainder when b(-31) is divided by 23.
10
Let u = -400 - -456. Suppose 60*q = u*q + 136. What is the remainder when 63 is divided by q?
29
Let a = 1547 - 1380. What is the remainder when 255 is divided by a?
88
Let z = -314 + 226. Let q = z + 122. Suppose 4*g - 39 = 9. Calculate the remainder when q is divided by g.
10
Calculate the remainder when 68 - (-2 + (-2 - -8