 is the remainder when 6807 is divided by o?
147
Suppose 0 = -4*o + 3*i + 5 + 8, 9 = 2*o - i. Suppose -82 - 639 = -o*d. What is the remainder when d is divided by 12?
7
What is the remainder when 529 is divided by -23 - 13 - -30 - (0 + 0 + -436)?
99
Let j = 92 - 75. Suppose -9*b + 1270 - 64 = 0. Calculate the remainder when b is divided by j.
15
Let x be 15 - 15 - 1*-23. Suppose -77*q = -78*q + x. Suppose q - 24 = -m. Calculate the remainder when 2 is divided by m.
0
Suppose 508 - 412 = 8*j. What is the remainder when 471 is divided by j?
3
Suppose -v = 4*p - 37 - 11, 0 = 5*v + 4*p - 272. Calculate the remainder when v is divided by (-4)/(-24) - 187/(-66).
2
Let m(a) = -a - 11. Let i = 18 - 16. Suppose -i*v = -b - 21 - 15, -5*v = -3*b - 91. Calculate the remainder when v is divided by m(-20).
8
Let a be 12/(((-9)/(-22))/((-249)/83)). Let j be 2/(-7) + 705/(-7). Let y = a - j. What is the remainder when 207 is divided by y?
12
Let a(r) be the first derivative of 4*r**3/3 - 18*r**2 + 23*r + 174. Calculate the remainder when 43 is divided by a(9).
20
Suppose 0 = -181*u + 141*u + 520. Let j(q) = 3*q**2 - 3*q - 1. Calculate the remainder when j(3) is divided by u.
4
Suppose -80194*z + 304 = -80186*z. Let v(f) = -14*f. Let m be v(-2). Calculate the remainder when z is divided by 89/7 + 8/m.
12
Suppose -183 = 13*y - 10*y. Let z = y - -49. What is the remainder when z/(-6) - -63 - (-4 + 1) is divided by 18?
14
Calculate the remainder when 8515 is divided by 9 + (9 + -24)/(-3) + 3.
15
What is the remainder when 190/15 - 12 - ((-43328)/6 + -2) is divided by 73?
70
Suppose 3*q + 236*q + 59*q - 47680 = 0. What is the remainder when 13436 is divided by q?
156
Let n(i) = 4*i**2 + 4*i - 19. Let t(o) = -9*o**2 - 7*o + 39. Let v(l) = -7*n(l) - 3*t(l). Calculate the remainder when 26 is divided by v(-5).
0
Let d(t) = -66*t + 625. Calculate the remainder when 3096 is divided by d(9).
27
Suppose 1189 = 5*p - 981. Suppose -4*m = -p - 254. What is the remainder when m is divided by 35?
32
Let l(u) = 39*u**2 - 18*u + 2. Let p be l(3). Let q = p + -239. Calculate the remainder when 538 is divided by q.
58
Let a be 4/(-48)*4 - 142/6. Calculate the remainder when 1/(80/26 + a/8) is divided by 7.
6
Let g(r) be the first derivative of r**3/3 + 2*r + 5. Suppose 690 = 107*u - 77*u. Calculate the remainder when u is divided by g(-2).
5
Let y(f) = -3*f**3 - 206*f**2 + 56*f - 328. Calculate the remainder when 573 is divided by y(-69).
4
Let i(u) = -11*u + 60. Let q be i(6). What is the remainder when 0/q - (-6 - (-1 + 4)) is divided by 2?
1
Let i(k) = k**2 - 62*k + 1136. What is the remainder when i(60) is divided by 5?
1
Let a = 431 + -249. Suppose 2*b - 74 = 3*r, 2*b - 2*r - 70 = -0*b. What is the remainder when a is divided by b?
27
Let v(b) = 68*b - 6786. Calculate the remainder when v(104) is divided by 65.
26
Suppose -17583*k = -17601*k + 23760. Calculate the remainder when k is divided by 17.
11
Let c = 1 - 1. Let s(n) = -n**2 + 6*n + 3. Let j be s(6). Suppose c = 5*r - 3*m + 4*m - 40, -j*r - 3*m = -12. What is the remainder when 13 is divided by r?
4
Let q = 6665 - 6594. What is the remainder when 78 is divided by q?
7
Let a = -26592 + 26679. Calculate the remainder when 10872 is divided by a.
84
Let j(t) = 12*t - 24. Let q be j(10). Suppose 0*m + 2*m + 4*g - q = 0, 4*m - 189 = -5*g. Let s = m + 63. What is the remainder when s is divided by 37?
35
Let z(p) = p**2 + 12*p - 141. Let s(w) = -w**2 - 6*w + 2. Let u be s(-6). Calculate the remainder when -35*(u - (3 - 0)) is divided by z(-20).
16
Let j(z) = 6*z - 4. Let x be j(1). Let v be 6*x*(-50)/(-40). Suppose v*h = 7*h + 176. Calculate the remainder when 87 is divided by h.
21
Suppose 5*o + 27 - 2 = 5*l, 4*o = -3*l + 15. Suppose 3*j + 91 = 5*j + l*b, -212 = -5*j + 3*b. Calculate the remainder when 385 is divided by j.
41
Suppose 0 = 134*x + 148*x + 72*x - 15930. What is the remainder when 12193 is divided by x?
43
What is the remainder when 2/38 - (-48294963)/24491 is divided by 980?
12
Suppose -9437 - 2672 = -114*g + 11603. What is the remainder when 2072 is divided by g?
200
Let w be 2/11 - (-10 + (-456)/(-88)). Suppose -j - 2*y + 24 = -37, 40 = j - w*y. What is the remainder when j is divided by 34?
21
Let c(p) = p**2 + 3*p - 1. Let i(w) = 5*w**2 - 42*w + 16. Let g(v) = 4*c(v) - i(v). What is the remainder when 113 is divided by g(53)?
14
Let l = 725 + -556. Let p = -151 + l. Suppose -4*j + 47 = -49. Calculate the remainder when j is divided by p.
6
Suppose 0 = -3*r + 4*w + 1757, 3*w - 8*w = -3*r + 1759. Suppose -30 = 163*n - 164*n - 3*j, -3 = j. Calculate the remainder when r is divided by n.
37
Suppose -251 = -16*v + 21. Calculate the remainder when 2192 is divided by v.
16
Suppose -o + 7 = x + 3*x, -x = 4*o - 43. Let a = 20827 - 20777. Calculate the remainder when a is divided by o.
6
What is the remainder when -6*1/2 - (-2)/((-14)/(-68537)) is divided by 22?
20
Let q(s) = s**3 - 17*s**2 - 35*s + 27. Let p be q(19). Suppose 0 = p*i - 86*i + 42. Calculate the remainder when 226 is divided by i.
16
Let y(r) = 1277*r - 5090. What is the remainder when 413 is divided by y(4)?
17
Suppose -4*t = -3*u - 34, t - 4*u - 13 = -u. Suppose t*b - 3*b + 8*b = 0. Suppose b = -0*i - 5*i + 75. What is the remainder when 42 is divided by i?
12
Suppose 0 = -336*a + 335*a + 15. Calculate the remainder when 2750/30*18/a is divided by 25.
10
Suppose 161 = 7*c + 28. Suppose -6*m = -8*m + k + 110, -m + 55 = k. What is the remainder when m is divided by c?
17
Suppose 412 = 5*u - 2*o, 4*o = 6*u + 3*o - 486. Calculate the remainder when 2078 is divided by u.
78
Let o(l) = 41*l**2 + 23*l + 12. Let j be o(-3). Let i = 455 - j. What is the remainder when i is divided by 36?
35
Suppose l = -3*r - 827, -r - 4*l - 66 = 217. Let q = r - -296. What is the remainder when 81 is divided by q?
18
Suppose -2*x = -0*x - 56. Let t be (-5)/(-10 - (-8 - 1)). Suppose -166 = -t*i + 39. What is the remainder when i is divided by x?
13
Let i(n) = 4*n + 2. Let z be i(0). Suppose 3*j = z*x - 85, 7*x + j = 2*x + 255. Let v = 59 + -48. Calculate the remainder when x is divided by v.
6
Let m(h) = 2*h**3 + 5*h**2 - 11*h + 5. Let v be m(-4). What is the remainder when -1*(0 - -1)/(v/(-278)) is divided by 71?
65
Let l = 10 - 6. Let c = 20 - l. Suppose 3*j - 21 = 0, j + 2248 = 5*a + 1635. Calculate the remainder when a is divided by c.
12
Suppose 114*f = 113*f - 1. Let s(j) = -268*j**3 - 2*j**2 + 4*j + 5. What is the remainder when s(f) is divided by 45?
42
Suppose h - 995 = 38*b - 40*b, 0 = -5*b + 3*h + 2438. Calculate the remainder when b is divided by 89.
48
Let k(s) = -s**3 - 36*s**2 - 272*s + 185. Calculate the remainder when 169 is divided by k(-25).
59
Let c(j) = j**3 + 17*j**2 + 31*j + 15. Let m be c(-15). Suppose y - p - 42 = m, 4*p = -2*y + 38 + 46. What is the remainder when 249 is divided by y?
39
Let u(c) = -7 + 9 + 15 + c + 12*c - c**2. Let y be u(14). Suppose -2*a + 3*q + 14 = -a, y*q - 124 = -5*a. Calculate the remainder when a is divided by 6.
5
Suppose -71*z = -63*z - 56. What is the remainder when 205 is divided by ((-26)/5)/((84/(-30))/z)?
10
Let b = -473 + 511. Suppose 20 = w - 3*f, w + b = 2*f + 62. What is the remainder when 125 is divided by w?
29
Let o(d) = -d**3 + 3*d**2 + 27*d + 2. Calculate the remainder when 262 is divided by o(6).
38
Let n be ((-22)/6)/((-2)/(-318)). Let c = n - -993. What is the remainder when c is divided by 23?
19
Let y = -133 - -366. Calculate the remainder when y is divided by 93.
47
Let a = 2650 + -2573. What is the remainder when a is divided by 45?
32
Let x(i) = -i**2 + 2*i + 309. Let w = -155 - -165. Calculate the remainder when x(0) is divided by w.
9
Suppose -59*d + 1551 = 6*d - 32*d. What is the remainder when 1405/7 + 14/49 is divided by d?
13
Let p = -4322 - -7350. What is the remainder when p is divided by 432?
4
What is the remainder when (4/(16/(-316)))/((-23)/138) is divided by 122?
108
Let i = -16376 - -16400. What is the remainder when 758/4 + 1/2 is divided by i?
22
Let l be (-6158)/(-3)*12/8 - 5. Suppose 13*k = l - 643. What is the remainder when k is divided by 13?
5
Suppose -635 = -5*c + 2*n, -2*c + 155 + 88 = -3*n. What is the remainder when 347 is divided by c?
89
Let i(p) = -p**2 + 14*p - 20