by x?
1
Suppose -f + 2 = -10. Let c(q) = 56*q**2 - 389*q + 1. Calculate the remainder when c(7) is divided by f.
10
Suppose l - 426 = -3*m, 0 = -3*m + 47*l - 45*l + 417. Calculate the remainder when 473 is divided by m.
50
Suppose 3*q - 50 = 130. Suppose 27*p - 32*p = -q. Suppose 3*r - 3*b + 2*b = 21, 5*r - 49 = -3*b. Calculate the remainder when p is divided by r.
4
Let q(w) = 5*w + 22. Let s be q(6). Let r be 2700/26 + (48/s)/6. Let x = -76 + r. Calculate the remainder when 53 is divided by x.
25
Suppose 2*g = -n + 4, -14*n + 13*n = 3*g - 6. Suppose -3*u - 4*i + 242 - 88 = 0, u + g*i = 48. What is the remainder when 220 is divided by u?
46
Let x(o) = 278*o + 131*o - 59*o + 81*o + 1. What is the remainder when x(2) is divided by 48?
47
Calculate the remainder when 2208/80*(-650)/(-15) is divided by 63.
62
Let b = -157 + 223. Let x be (0 + 2)*b/(-4). Let y = x + 42. Calculate the remainder when y is divided by 5.
4
Let v(l) = 38*l + 15. Let h(f) = -120*f - 45. Let t(d) = -2*h(d) - 7*v(d). What is the remainder when t(-3) is divided by 7?
0
Suppose 5*o - 18 = 2. Suppose 5*z - 2110 = -o*r, -37*z + 38*z = 4*r - 2098. What is the remainder when r is divided by 88?
85
Suppose 48*l = -20*l - 13916 + 96740. What is the remainder when l is divided by 5?
3
Let s(b) = b**3 - 14*b**2. Let h be s(14). Suppose 6*y = -5*l + 11*y + 100, 5*y + 15 = h. What is the remainder when l is divided by (-130)/(-14) - (-2)/(-7)?
8
Suppose 279 = 4*g + 5*n, 0 = 2*g + g + 2*n - 218. Let z = 92 - g. Suppose -2*p + 2*x = -54, 2 + 14 = 4*x. Calculate the remainder when p is divided by z.
15
Let n = -2462 - -2583. Calculate the remainder when 260 is divided by n.
18
Suppose 10 = f - 6. Let z(b) = -356*b + 137. What is the remainder when z(0) is divided by f?
9
Let c(a) = a**2 - 7*a - 30. Let s be c(13). Suppose -2*b - 5*y + 23 = 0, 5*b + 4*y - s - 35 = 0. What is the remainder when 170 is divided by b?
18
Let i = 632 + -645. Let t(o) = 40*o - 2. What is the remainder when t(3) is divided by (-166)/(-4) + i + (-325)/(-26)?
36
Calculate the remainder when 6/(-240)*-10 + (-72029)/(-76) is divided by 53.
47
Let f(b) = -b**2 + 11*b - 4. Let n = -279 + 287. Calculate the remainder when f(8) is divided by 202/18 - n/36.
9
Let v = -1597 + 1678. Calculate the remainder when 21057 is divided by v.
78
Let c be (4 - 0)*(4 - -1). Let v be (48/c)/(-6) + (-47)/(-5). Calculate the remainder when 3/(-9) + 156/v is divided by 6.
5
Calculate the remainder when 3*2/21 - 660996/(-2107) is divided by 116.
82
Let q(y) = -y**3 - 4*y**2 + 86*y + 222. Calculate the remainder when 380 is divided by q(-11).
11
Calculate the remainder when (28 - 14 - (-205)/(-15))*(-423)/(-1) is divided by 6.
3
Let l be (-1243)/(-154) - 2/28. Calculate the remainder when 28/l*386/7 is divided by 28.
25
Let s(k) = -77*k + 571. What is the remainder when 1098 is divided by s(7)?
10
Suppose 2*n = -0 + 4. Let k(y) = 9 + 3*y - 20 + 10*y**n - y**3 + 5. Calculate the remainder when 69 is divided by k(10).
21
Let s(y) = 29*y + 7. Let t(g) = 4*g**2 - 2*g + 1. Let b be t(1). Suppose -20 = -b*i + 19. What is the remainder when s(1) is divided by i?
10
Let h = 39 + -35. Suppose 5*i + 2 + 3 = 0, -3*k = -4*i - h. Suppose s - 4*t - 16 = k, 3*s - 4*t = -6*t + 34. What is the remainder when 58 is divided by s?
10
Suppose 34 = s - 24. Let y = s + -11. Let g(d) = -284*d + 33413. What is the remainder when g(117) is divided by y?
44
Suppose 168*b - 4*y + 65 = 177*b, 0 = 4*b + 4*y - 40. Let o = 39 - 22. Calculate the remainder when o is divided by b.
2
Suppose -56800 - 7636 = 27*w - 389*w. What is the remainder when 575 is divided by w?
41
Let o be 123 - (-9 - (2 - 11)). What is the remainder when (37/2)/(3 + o/(-42)) is divided by 54?
43
Suppose 5*j = 0, 0 = -x - x - 5*j + 330. Suppose 80 = 4*r - 32. Calculate the remainder when x is divided by r.
25
Let k = -22527 + 24568. What is the remainder when k is divided by 1011?
19
Let r = 13866 + -13274. Calculate the remainder when r is divided by 51.
31
Let c = 22096 - 22074. Let n = 9 - -3. Calculate the remainder when c is divided by n.
10
Let p(l) = l**2 - 2*l. Let k be p(0). Suppose i - a - 9 = k, 19 + 6 = 5*i + 5*a. What is the remainder when 103 is divided by i?
5
Let r be (1 - (-5 - -6))/(2/2). Suppose r = 2*j - 5*s + 10, -2*s = 4*j - 4*s + 4. Suppose j*t = -t + 56. What is the remainder when t is divided by 30?
26
Let x(m) = -m**2 - 10*m + 56. Let p be x(4). Suppose -2*l - 21 = -q, p = -4*q + 3*l - 7 + 106. Calculate the remainder when 71 is divided by q.
17
Suppose -4*h + 5*q + 6612 = 0, -3*h - h + 6596 = -q. Calculate the remainder when h is divided by 66.
64
Let q = -1242 + 3997. Calculate the remainder when q is divided by 551.
0
Suppose 0 = 22*w - 11*w + 411 - 862. Suppose 0*y = -3*y + 360. Calculate the remainder when y is divided by w.
38
Calculate the remainder when 914 + ((-80)/(-30) - 2)*(-6)/(-4) is divided by 75.
15
Suppose -2*k + 32 = -62*h + 66*h, -66 = -5*h + 4*k. What is the remainder when 358 is divided by h?
8
Let p(n) = 11*n**3 - 14*n**2 + 2*n. Calculate the remainder when 171 + (-1 - -1) - (6 - 11) is divided by p(2).
32
Let r be (-8198)/(-4) + (20/8)/5. Suppose -18*t - r = -28*t. Calculate the remainder when t is divided by 54.
43
Suppose -2*h - 159 = -3*h + 169. Calculate the remainder when 992 is divided by h.
8
Suppose -4*g = g - 20, 5*g - 12 = 2*u. Suppose d - u*d = 0. Suppose d*c + 2*c = -a + 110, -3*a + 12 = 0. What is the remainder when c is divided by 9?
8
Let w(c) = -4*c - 63. Let z(d) = 4*d + 65. Let x(t) = 3*w(t) + 2*z(t). Calculate the remainder when 349 is divided by x(-17).
7
Calculate the remainder when 912 + 4*(-8)/(-256)*8 is divided by 45.
13
Suppose 3*s = -4*p + 1176, -20*s + 1439 = 5*p - 24*s. What is the remainder when p is divided by 6/(-21) - 5908/(-98)?
51
Let i = -1154 - -725. Let d = i + 484. What is the remainder when d is divided by 8?
7
Let s be -6*(-5)/10*(1 - 10). Let l = -10 - s. Calculate the remainder when 62 is divided by l.
11
What is the remainder when 2699 is divided by ((-5256)/(-730))/((-1)/(-5))?
35
Suppose 3 - 1 = b. Let l = -13139 - -13144. Suppose -b*g = l*g - 280. Calculate the remainder when 156 is divided by g.
36
Let m(a) = -a**2 - 3*a + 4. Let f = 5 - 4. Let g be m(f). Suppose 7*s - 4*s + 9 = g, 101 = 4*o + s. What is the remainder when o is divided by 10?
6
Let i = -2433 - -2663. What is the remainder when i is divided by 82?
66
Let d be (-3)/(-12) + (-10)/8. Let a = 1 - d. Let w(m) = m**2 + 411*m + 1229. Calculate the remainder when w(-3) is divided by a.
1
Suppose -5*f + 4 + 21 = 0. Suppose h = 4*t + 75, h - 42 = f*t + 38. Suppose -3*v - 30 = -5*v. Calculate the remainder when h is divided by v.
10
Let v = -3581 - -4148. Calculate the remainder when v is divided by 205.
157
Suppose 0 = -32*t - 598 + 2486. Let k(h) = -h**3 - 6*h**2 + h + 14. Let g be k(-6). Let u = t - g. Calculate the remainder when 98 is divided by u.
47
Let a be (-4 + (-203)/(-35))*-15. Suppose -4*i - 82 = 2*b - i, -39 = b + i. Let d = a - b. What is the remainder when 31 is divided by d?
7
Let g = -2045 + 2267. Calculate the remainder when g is divided by 33.
24
Suppose -2 = i - 10. Suppose 4*s - 184 = 5*u, 3*s - 4*u - u = 143. Let t = s + -36. Calculate the remainder when i is divided by t.
3
Suppose -p + 493 = -4*n - 762, 2*p - 305 = n. Let x = 341 + n. Calculate the remainder when 94 is divided by x.
16
Let n = -108 - -213. What is the remainder when n is divided by 12/66 - (10/(-15) - 2056/66)?
9
Suppose 20 + 126 = 2*u. Suppose -1738*s + 1731*s = -184 - 103. Calculate the remainder when u is divided by s.
32
Suppose -l + 3*l = 0. Let a(i) = -15 + 48 - 4*i + 16 - 7. What is the remainder when a(l) is divided by 11?
9
Let b(m) = 135*m**2 - 36*m + 70. What is the remainder when b(2) is divided by 268?
2
Let t(v) = -v**2 - 14*v - 9. Let h be t(-13). Suppose 0 = -0*i + 5*i + k + 37, h = i + 4*k. What is the remainder when (6/(-1 + -2))/(i + 7) is divided by 2?
0
Let o(g) = g**3 + 11*g**2 - 4*g + 179. What is the remainder when 233 is divided by o(-12)?
67
Suppose 4*f = 3*f - 3*l + 47, 227 = 4*f - l. Calculate the remainder when 7221 is divided by f.
53
Let u = -41 - -44. Let a be u/(-5) + (-49)/35 + 7. Suppose a*s = 2*s + 42. Calculate the r