ivided by 51?
43
Suppose -5*w = 3*f - 334, -2*w + 8*w - 3*f = 381. Calculate the remainder when 182 is divided by w.
52
Suppose -3*o + c + 13 = 2*o, -11 = 2*o + 5*c. Let x(d) = -24 + 19*d - 16*d + o. What is the remainder when 68 is divided by x(12)?
12
Suppose 0 = -x - 4*p + 767, 2*x = 10*p - 13*p + 1559. Suppose -14*g + x = 143. Calculate the remainder when g is divided by 16.
14
Suppose 282461 - 65101 = 38*l. Suppose 76*q = 65*q + l. Calculate the remainder when q is divided by 18.
16
Suppose -68*s = -o - 63*s + 408, 0 = -3*o + s + 1238. What is the remainder when o is divided by 111?
80
Suppose -4*g = 3*q - 64 - 3, -62 = -3*q + g. What is the remainder when 902 is divided by q?
20
Let t = -1476 - -1487. Calculate the remainder when 89 is divided by t.
1
Let x = -40 + 42. Suppose x*r = -5*a + 203, -r + 204 = 2*a + 3*a. Calculate the remainder when a is divided by 23.
18
Let r(k) = 3*k - 1. Let a be r(23). Let y = a + -65. Suppose 38 = 2*u - u - 2*h, -y = -u - 5*h. Calculate the remainder when u is divided by 9.
1
Let p(f) = 40*f + 1919. Let g(j) = 9*j - 25. What is the remainder when p(-44) is divided by g(5)?
19
Suppose -406*g + 409*g + 6010 = 5*t, 5980 = 5*t + 3*g. Calculate the remainder when t is divided by 60.
59
Suppose 2*j + 2*x = 19 + 1, -3*j = -3*x. Suppose 2*b + 3 = j, -b = m - 32. What is the remainder when 104 is divided by m?
11
Let o(u) = u**3 + 12*u**2 - 31*u - 11. Suppose 5*p = 5*k - 370, 388 = -5*p + 3*k + 18. Let s = -88 - p. What is the remainder when o(s) is divided by 17?
14
Suppose -8*k + 286 = 4030. Let b = 472 + k. What is the remainder when 22 is divided by b?
2
Let i(t) = -67*t**3 - 8*t**2 - 15*t + 10. Calculate the remainder when i(-2) is divided by 61.
56
Calculate the remainder when 335 is divided by (-8)/(17 - 1)*2*-44.
27
Suppose 128*d + 20*d - 7275 = -143*d. Suppose -5*h + 0*b = -b - 750, -b = h - 144. What is the remainder when h is divided by d?
24
Suppose -4*l = 4*v - 995 + 339, 0 = -2*v + 4*l + 304. What is the remainder when v is divided by 52?
4
Let o be (37968/(-102))/(-2) + (-2)/17. Suppose -3*x + o = -6*x. Let y = x + 76. Calculate the remainder when 32 is divided by y.
4
Let l = -2347 + 2619. Let n = -18 + 64. What is the remainder when l is divided by n?
42
Let v be -2*((-45)/(-10) - 4) - 7. What is the remainder when 38 + v - (1 - 1) is divided by 12?
6
Let u = -9660 - -9792. What is the remainder when 1865 is divided by u?
17
Let t = -12754 + 12771. What is the remainder when 317 is divided by t?
11
Suppose 71*t - 24 = 67*t, 2*v + t - 110 = 0. What is the remainder when 2127 is divided by v?
47
Let i = -223 - -335. Let z = -61 + i. Calculate the remainder when 109 is divided by z*10/18 - 1/3.
25
Suppose 6*w - 394 = 14. Suppose 5*m = -4*o + w, 0 = 5*m + 5*o - 70. Let l = 23 + -13. What is the remainder when m is divided by l?
2
Let o(i) = 2*i**2 + 8*i - 60. Suppose 0 = 5*j - 7*j + 12. What is the remainder when o(j) is divided by 21?
18
Let q(y) = 7*y**2 + y - 1. Let s be q(1). Suppose -s*v - 392 = -14*v. What is the remainder when v is divided by 15?
11
Let y be ((-12)/(-26))/((-13)/(-169)). Let r = 11 + -6. Suppose -r*v + 165 = y*v. Calculate the remainder when v is divided by 6.
3
Let m = -8 + 20. Let o be (-2)/m - 1796/24. Let l = o - -117. Calculate the remainder when l is divided by 9.
6
Let z = -26 + 31. Suppose -196 = -4*i - 4*n, 3*i - z*n + 20 = 151. Suppose 4*h - o - 84 = 3*o, -4*h = -3*o - 79. What is the remainder when i is divided by h?
15
Suppose 2*c - 39 = 41. Suppose d = 3*d - c. Suppose -3*y - 5 = -d. What is the remainder when 19 is divided by y?
4
Suppose 4*q - 5*l = 1843, -3*l - 123 + 138 = 0. What is the remainder when q is divided by 36?
35
Let c = -123 + 852. Let i = c - 667. Calculate the remainder when i is divided by 5.
2
Let x = 1522 - 2142. Let h = x + 686. What is the remainder when 129 is divided by h?
63
Let v(s) = s**2 + 12*s + 14. Let g be v(-11). Let n(j) = -8*j - 13. What is the remainder when n(-4) is divided by (g/2 - -2)/(10/20)?
5
Suppose 7*v - 683 = 4*v + 4*u, -4*u = 5*v - 1117. Suppose 0 = -233*b + v*b + 1752. What is the remainder when b is divided by 74?
71
Let a be ((-610)/20 - -13)/(2/4). Let t(p) = 3*p**2 + 103*p + 10. Suppose z = -2*z + 84. What is the remainder when t(a) is divided by z?
24
Suppose -106*q + 5*q + 7 + 1710 = 0. Calculate the remainder when 61 is divided by q.
10
Let w(r) = -12*r - 180. Let h(j) = -j - 2. Let o(z) = 2*h(z) - w(z). Calculate the remainder when o(0) is divided by 62.
52
Suppose 10*f - 3344 = 2*f. Suppose -13*i = -18*i + 2*o + 288, 2*i - o - 114 = 0. What is the remainder when f is divided by i?
58
Let o = -1270 - -878. Let a = o - -509. What is the remainder when a is divided by 10?
7
Let h be (12 - 11)/((-1)/(-261)). Suppose -3*s + h = 2*m - m, 0 = 4*s + m - 348. Let q = -348 - -363. What is the remainder when s is divided by q?
12
Let m = -42 - -42. Let v(l) = 5*l**2 - 14*l + 61 - 13*l - 4*l**2 + m*l**2. Calculate the remainder when 76 is divided by v(25).
10
Let a(j) = -j**3 - 21*j**2 + 23. Suppose -3*g + 205 = -98. What is the remainder when g is divided by a(-21)?
9
Let d = -56 - -132. Suppose d = 3*i + u - 86, 216 = 4*i - 5*u. Suppose 0 = j - 3, f + 3*j = i. Calculate the remainder when f is divided by 26.
19
Let y(n) = 6*n**2 - 21*n + 39. Calculate the remainder when 22 is divided by y(2).
1
Let n(p) = -p**2 + 7*p + 42. Let k be n(9). Suppose x + 4 = k. What is the remainder when 98 is divided by x?
18
Suppose -4*k - 3*c = -76, -62*k + 19 = -61*k - c. Calculate the remainder when 7217 is divided by k.
16
Let l(m) = m**3 + 9*m**2 - 84*m - 597. What is the remainder when l(-9) is divided by 4?
3
Suppose y - 14 = -4*x, -5*y + 14 + 20 = 2*x. Let l(t) = -t**2 + 8*t - 6. Let u be l(y). Calculate the remainder when 38 is divided by 3 - 1 - (-8 + 5)*u.
18
Let a(v) = -v**3 + 32 - 8*v - 23 + 7*v**2 + 2*v**2. Suppose -q + 7*q - 48 = 0. What is the remainder when 25 is divided by a(q)?
7
Suppose 0 = -9*d + 2*d + 84. Suppose g - d = -3*g. Suppose 4*r - 6 = g*r. Calculate the remainder when r is divided by 2.
0
Let h(i) = 58*i**2 + 2*i - 1. Let z be h(1). Suppose -2 = -n, x + 0*n - n - z = 0. Let c(j) = 5*j + 208. Calculate the remainder when x is divided by c(-40).
5
Let n(h) = 10*h**2 - 2*h + 1. Let m(s) = s**3 + 33*s**2 - 231*s + 151. Calculate the remainder when m(-39) is divided by n(1).
7
Let d = -10 - -16. Let h = 13 + d. Suppose 12*m - 113 = h. Calculate the remainder when m is divided by 7.
4
Suppose 49*c - 1866 = 1368. Let g(l) = -l**3 - 19*l**2 - 21*l - 15. Calculate the remainder when c is divided by g(-18).
27
Let g = 3 + -2. Let s(f) = -2*f**2 + 31*f - 5. Let l be s(15). Suppose l*x - 12 = 6*x. Calculate the remainder when x is divided by g.
0
Let f be 1/3 - ((-56)/12 - -3). Suppose -107 - 81 = f*s. Let m = s - -106. What is the remainder when 21 is divided by m?
9
Suppose k = 5*f + 21, k + 2*k = -2*f - 5. Let w = -1225 - -2341. What is the remainder when w/9 + (1 - k) is divided by 14?
12
Let b = -199 + 322. What is the remainder when b is divided by 92?
31
Suppose -6 = -3*r - 0*o - 3*o, 0 = -3*o. Suppose 2*q - 5*z + 21 = 0, -q + 6*q = r*z - 42. What is the remainder when 61 is divided by 2/(q/(-12)) + 6?
7
Suppose 0 = 3*y - 5*s - 870 + 299, 20 = -4*s - 12. Suppose a - 4*g = 2*a - 15, 4*g = -3*a + 45. Calculate the remainder when y is divided by a.
12
Calculate the remainder when 890 is divided by ((-6321)/(-91))/3 - 8/52.
16
Let r(y) = -12*y**2 - 69*y + 144. Calculate the remainder when 212 is divided by r(-6).
86
Suppose 0 = -m - 3, -138 = -3*b - 3*m. Suppose -14*t = -b - 259. What is the remainder when t is divided by (1 - 2)/(1/(-3))?
1
Suppose 0 = -44*t + 8*t + 1872. Calculate the remainder when 343 is divided by t/91 + (-958)/(-14).
67
Suppose 7*p = -28, 0 = g - p - 26 + 6 - 3. Let c be (2 - 1) + -1 - -276. Suppose u - 4*u = -c. Calculate the remainder when u is divided by g.
16
Suppose 24 = -3*l, 59*h - l = 62*h - 334. Calculate the remainder when 2506 is divided by h.
112
Let r(w) = w - 1. Let z be r(3). Suppose 2*k - 96 = 5*o + 22, 5*o - 138 = -z*k. Let v = -6 + k. Calculate the remainder when v is divided by 20.
18
Let i be (60/8)/(-15)*170/1. Let n = i + 108. Calculate the remainder when 32 is div