What is the remainder when x is divided by 52?
19
Suppose -10*f - 2*g + 94 = -9*f, -396 = -4*f + 2*g. Calculate the remainder when f is divided by 11.
10
Suppose 0*n + 5*n = 130. Let f(y) = y - 3. Let j be f(5). Suppose 86 + n = j*r. Calculate the remainder when r is divided by 19.
18
Let m = 1 + 10. Suppose 0 = m*d - 7*d - 8. Suppose 5*i = -l + 48, d*i - 4*l = 3*i - 21. What is the remainder when 17 is divided by i?
8
Suppose 35*i - 29*i - 84 = 0. Calculate the remainder when i is divided by 4.
2
Suppose -36*s + 3*s + 1023 = 0. What is the remainder when 61 is divided by s?
30
Suppose 527 = 17*t + 187. Let r(z) = -z**2 + z + 8. Let h be r(0). Suppose 10*w = h*w + t. Calculate the remainder when 19 is divided by w.
9
Suppose 2*y = 4*v - 44, -9*y = 3*v - 6*y - 15. Calculate the remainder when 233 is divided by v.
8
Suppose z + 0*z - 22 = 0. Let q be (-119)/(-2) - (-11)/z. Suppose y - 5*y = -q. Calculate the remainder when y is divided by 6.
3
Let r = 144 - -43. Let x = r - 102. Calculate the remainder when x is divided by 3010/105 + 2/6.
27
Let v(x) = 12*x + 5. Let w be v(4). Let n(c) = 5*c + 7. Let i be n(-1). Calculate the remainder when i/(-8) - w/(-4) is divided by 7.
6
Let l(f) = 2*f**2 + 4*f + 6. Let t be l(-5). Let h be 9/t - (-59)/4. What is the remainder when 246/h + (-2)/5 is divided by 6?
4
Let o(i) = i**2 - 8*i - 8. Let l(y) = -y**3 + y + 5. Suppose 4*z = -0*z. Calculate the remainder when o(10) is divided by l(z).
2
Let u = 19 + 26. Suppose 4*j + 3*r = 81, -3*j + j = -3*r - u. Calculate the remainder when j is divided by 4.
1
Suppose -30 = 3*s - 3*q, 0*q = 5*s + 2*q + 64. What is the remainder when 3/s + 301/4 is divided by 11?
9
Let h = -1566 + 1623. Let c(b) = 29*b**2. What is the remainder when h is divided by c(1)?
28
Suppose -4*h + 2*h = -2*j + 66, 39 = j - 3*h. Suppose -p + 3*p = j. Suppose -3*g + 42 = -p. What is the remainder when 34 is divided by g?
15
Let d(f) = -f**3 - 8*f**2 + f + 11. Let a be d(-8). Let x be (2*a)/(6/(-4)). Calculate the remainder when 36 is divided by (3/(-6))/(x/152).
17
Let p = 22 + -22. Calculate the remainder when 28 - (2 - 1 - p/(-7)) is divided by 7.
6
Let q = 12 - 10. Suppose 3*r = q*u - 21, -4*r = 2*u + 9 + 5. Calculate the remainder when 47 is divided by -3 + u + 1 + 11.
11
Let r be 1/(2/4 - 0). Suppose 0 = -4*a - 2*i + 126, 3*i = -r*a + 63 - 6. What is the remainder when -4*(-387)/(-36)*-3 is divided by a?
30
Suppose 0 = 5*c + 20, 4*f = 5*c - 0*c - 24. Let q = f + 17. Calculate the remainder when 26 is divided by q.
2
Let k be 6/(-21) + 80/35. Suppose k*v - 68 = -0*v. Calculate the remainder when (0 - -1)*1 + v is divided by 9.
8
Suppose 3*u - 4*k - 42 = -6*k, 4*u - 3*k = 73. What is the remainder when 173 is divided by u?
13
Calculate the remainder when 53 is divided by 10*(39/54 + 16/(-72)).
3
Let g(i) = i**3 + 2*i**2 + 8*i + 11. What is the remainder when g(6) is divided by 16?
11
Suppose 532 = 54*q - 47*q. What is the remainder when 144 is divided by q?
68
Suppose -7*n + 15 = -10*n. Let k(l) = l**2 + 5*l. Let o be k(n). Suppose 6 = -2*w - o*w, -5*t = -w - 48. Calculate the remainder when 26 is divided by t.
8
Let b = 27 - 0. Suppose -7 + 18 = h + 2*m, -b = -3*h - 4*m. Calculate the remainder when 24 is divided by h.
4
Let c(j) = 2*j**3 - 23*j**2 + 12*j - 3. Calculate the remainder when 71 is divided by c(11).
7
Let b be (-3 - -3) + (-15)/(-1). Calculate the remainder when 50 is divided by -3 + b/1 - -1.
11
Let c(z) = -z**3 + 9*z**2 + z - 2. Let i be c(9). Let a = 17 - i. Calculate the remainder when 38 is divided by a.
8
Let s(x) = -x**2 - 25*x - 95. What is the remainder when 109 is divided by s(-18)?
16
Suppose -t = -6*t + 185. Let f = t + -26. Let o(m) = -16*m - 1. What is the remainder when o(-2) is divided by f?
9
Suppose -3*a + 139 = -23. Suppose 0 = 4*i - a + 18. Suppose 2*p - 22 = 8. Calculate the remainder when p is divided by i.
6
What is the remainder when 66 is divided by 2 + (-62)/(-4) + 3/(-6)?
15
Let k(g) = 2*g**2 - 7*g - 10. Suppose 19 - 13 = -2*a. What is the remainder when 50 is divided by k(a)?
21
Let f = 100 + 2. Let n = -57 + f. What is the remainder when n is divided by 16?
13
Let m be ((-70)/(-22))/1 + 18/(-99). Calculate the remainder when 2/3 + 301/m is divided by 35.
31
Suppose 3*v - o - 4*o + 10 = 0, -3*v = -2*o + 4. Calculate the remainder when 0 + v + (-82)/(-2) is divided by 22.
19
Let z(t) = 39*t + 101. What is the remainder when z(8) is divided by 13?
10
Suppose 0 = -4*r + 163 + 413. Suppose -4*j = -4*f + r, 3*f + 2*j = -j + 108. Suppose -f = -5*g + g. What is the remainder when 34 is divided by g?
7
What is the remainder when ((-4 - -7)/(-3))/(9/(-5409)) is divided by 67?
65
Let x = -950 - -1289. What is the remainder when x is divided by 109?
12
Let u = -161 + 172. What is the remainder when 28 is divided by u?
6
Suppose 15 = -2*w + 7*w, 2*w = -g + 63. Suppose 100 = 5*x + 3*l, -4*x + 108 - 28 = 4*l. Calculate the remainder when g is divided by x.
17
Let r = 817 + -742. Calculate the remainder when r is divided by 57.
18
Suppose -4*w + 10 - 2 = 0, 2*z + 5*w = 256. What is the remainder when z is divided by 46?
31
Let v = 247 + -143. Suppose -o - 4*o = -2*y + 77, 0 = 2*y + 4*o - v. What is the remainder when y is divided by 24?
22
Let x(s) = -3*s + 12. Let p be x(-10). Suppose -18*o - p = -21*o. Calculate the remainder when 24 is divided by o.
10
Suppose 5*j + 13*i - 104 = 9*i, -3*j + 59 = -i. Calculate the remainder when 32 is divided by j.
12
Let k(f) = 13*f - 14. Let b(i) = -i. Let p be b(-5). Let l(v) = v**3 - 3*v**2 + v - 2. What is the remainder when k(p) is divided by l(4)?
15
Let p(g) = 6*g**3 - g. Let n be p(-1). Let q = n - -14. What is the remainder when q is divided by 3?
0
Let b(l) = -l. Let o(d) = 2*d + 3. Let n(x) = 5*b(x) + o(x). Let a = -28 - -44. What is the remainder when a is divided by n(-2)?
7
Suppose 0 = 21*g + 37 - 415. Let s = -1 - -35. Calculate the remainder when s is divided by g.
16
Suppose 4*v + 38 = 2*r, 4*r + 4*v - 19 = 3*r. Let h = -190 + 193. Suppose -2*p + r - h = 0. Calculate the remainder when 23 is divided by p.
7
Suppose 24 - 29 = -s. What is the remainder when ((-14)/42)/(2/(-108)) is divided by s?
3
Let k(t) = -3*t - 1. Let b be k(-1). Calculate the remainder when 78 is divided by (0 + 26)/b - (-6)/2.
14
Suppose -462 = -7*a - 28. Calculate the remainder when a is divided by 32.
30
Suppose 163*l - 157*l = 168. Calculate the remainder when 151 is divided by l.
11
What is the remainder when 113 is divided by 29/3*(-3 + -4 - -10)?
26
Let t = 232 + -60. Calculate the remainder when t is divided by 29.
27
Let z(y) = 2*y**2 - 3*y**2 - 1 - 3*y + 3*y**3 - 8*y**2. Let i(g) = g**3 - g**2 - 1. Let l(w) = -2*i(w) + z(w). What is the remainder when l(8) is divided by 14?
13
Suppose -2*t - 2*c + 142 = -4*c, 3*c + 12 = 0. What is the remainder when t is divided by 40?
27
Let j = -751 - -900. What is the remainder when j is divided by 19?
16
Let r(t) = 21*t**3 - t. Let b be r(-1). Suppose 21 = 73*a - 70*a. What is the remainder when a is divided by (-55)/b - 2/(-8)?
1
Let m(u) = 18*u - 175. Calculate the remainder when 826 is divided by m(11).
21
Let g(l) = 2*l**2 - 30*l + 124. Calculate the remainder when 66 is divided by g(10).
18
Let l = 237 + -132. Suppose 8*y - 3*y = l. Calculate the remainder when 78 is divided by y.
15
Let t(j) = 11*j**3 + 4*j**2 - 13*j + 28. What is the remainder when t(2) is divided by 38?
30
Let f(b) = b**3 - b**2 + 5*b - 8. Let t be f(3). Let p = t + -15. What is the remainder when 38 is divided by p?
8
Suppose -5*m = -u - 625, m = 2*m - 2*u - 116. Let i(v) = -2*v + 24. Calculate the remainder when m is divided by i(4).
14
Let m = 211 - -368. What is the remainder when m is divided by 98?
89
Let b(a) = -8*a + 3. Let r(o) = o - 13. Let n be r(7). What is the remainder when b(n) is divided by 13?
12
Calculate the remainder when 85/(-10)*(-20 - -18) is divided by 5.
2
Suppose a + 2*a - 63 = -3*d, 4*d - 4*a - 100 = 0. Suppose 132 = 4*m - 4*t, 0*m - m - t = -d. Calculate the remainder when m is divided by 10.
8
Let f(z) = -z**3 - 8*z**2 - 11*z + 2. Calculate the remainder when f(-8) is divided by 17.
5
Let p(z) = z**3 + 23*z**2 - 51*z + 67. What is the remainder when 195 is divided by p(-25)?
11
Let u(f) 