-12 + 63. Let p = 51 - z. Suppose -6*q = -p*q - 390. What is the remainder when q is divided by 23?
19
Suppose 0 = -3*w + 65 - 113. Let p = w + -6. What is the remainder when 74 is divided by 1*(2/3)/(p/(-627))?
17
Suppose 4*g = 3*p - 2897, -5*p + 5*g + 5085 = 265. What is the remainder when 999 is divided by p?
40
Let v = -334 + 336. Suppose -2*u + v = -q, -3*u = -q - 5*u + 14. What is the remainder when 23 is divided by q?
5
Suppose -10*s = -32*s + 374. Suppose 0 = -3*r + 2*m + 38, r - 2*m + 4*m - 10 = 0. Let g = 20 - r. What is the remainder when s is divided by g?
1
Let g(q) = -q**3 + 26*q**2 + 115*q - 13. Calculate the remainder when 1203 is divided by g(-4).
6
Suppose 0 = -36*x - 46*x + 410. What is the remainder when 724 is divided by x?
4
Suppose -4011 = -15*q + 1029. Suppose 4*u = 11*u + q. Let z = u - -121. Calculate the remainder when z is divided by 19.
16
Let g(x) = -39*x + 15. Let r be g(-3). Suppose 0 = 3*h + 2*j - r, 0*j - 6 = -2*j. Suppose 6*t = 9*t - h. Calculate the remainder when 69 is divided by t.
13
Let c(s) = 20*s**3 - 13*s + 29. Calculate the remainder when c(2) is divided by 29.
18
Suppose 2*s + 54 = 2*v + 138, -s + 51 = 2*v. Calculate the remainder when 758 is divided by s.
38
Suppose 95 = -88*v + 93*v. Calculate the remainder when 244 is divided by v.
16
Let s(x) = -14*x. Let i be s(-1). Let l(j) = -3*j**2 + 43*j - 10. Calculate the remainder when 16 is divided by l(i).
0
Suppose 25*d - 10682 - 9075 - 21868 = 0. What is the remainder when d is divided by 44?
37
Suppose -3*y = -4*y - 5. Let l = -155 - -250. Let g = l + y. What is the remainder when g is divided by 23?
21
Suppose -8*c + 59 = -133. Suppose -2*p - 6 = -3*p + s, -5*s - c = -4*p. Let b = 82 + -53. What is the remainder when b is divided by p?
5
Let l be ((-4)/4 - -1)/2. Let b(y) = 6*y + 16. Calculate the remainder when 23 is divided by b(l).
7
Let c = -628 + 653. What is the remainder when (-2 + 1)*3*-82 is divided by c?
21
Let w = 87 + 32. Suppose -183*s + 12 = -2184. Calculate the remainder when w is divided by s.
11
Let n(y) = y + 3. Let b be n(0). Suppose b*l + 121 + 68 = 4*c, 36 = c - 3*l. What is the remainder when 151 is divided by c?
49
Let w = -1694 + 3185. What is the remainder when (w/(-28) + -9)/(6/(-40)) is divided by 19?
16
Let c = -57 + 833. Calculate the remainder when c is divided by 768.
8
Let q be -7 + -2 + 5 - -199. Suppose 5*u - q = -5*i, 0 = -4*i + u + 161 - 0. What is the remainder when 395 is divided by i?
35
Let m = -2936 - -2964. What is the remainder when 169 is divided by m?
1
Let z(p) = 14*p**2 - 1 - 1 - 4*p - 3*p**2 + 5. Let y be z(1). Suppose 5*o = y + 500. What is the remainder when o is divided by 15?
12
Let m(k) = -27*k**2 - 371*k - 16. Calculate the remainder when m(-7) is divided by 210.
208
Suppose 135*f - 42 = 128*f. Suppose -f = 2*y - 60. Calculate the remainder when 51 is divided by y.
24
Suppose -4*d - 95 = -267. Let m = -27943 + 28327. Calculate the remainder when m is divided by d.
40
Suppose 2*v + 31 = 5*v + 5*q, -41 = -5*v - 3*q. Suppose -v*t + 10*t - 84 = 0. What is the remainder when 52 is divided by t?
24
Suppose 9178 = 129*w - 3851. Calculate the remainder when 218 is divided by w.
16
Let o(d) = -d**3 + 10*d**2 - 8*d + 1. Let u be o(10). Let k = 132 + u. Calculate the remainder when k is divided by 22.
9
Let z = 80 + -54. Let v = -556 - -647. Let m = v - z. What is the remainder when m is divided by 22?
21
Suppose 42*g + 44 - 506 = 0. Suppose -a = -5, 3*m - 2*a - a - 144 = 0. Calculate the remainder when m is divided by g.
9
Suppose 5*n = 4*u + 12, 23*n - 16 = 21*n - 4*u. Let c = 1 + -1. Suppose 5*s + n - 34 = c. Calculate the remainder when 47 is divided by s.
5
Suppose -202*s = 12864 - 47670 - 9432. What is the remainder when s is divided by 13?
11
Let j(n) = -n**3 + 3*n**2 + 615*n + 21. Calculate the remainder when j(26) is divided by 67.
61
Suppose -4*x + 4*r + 22056 = 0, -5*x + 182*r = 180*r - 27576. Calculate the remainder when x is divided by 230.
226
Let f = 44 - 39. Suppose 0 = -f*u + 194 + 71. Suppose n - 25 = u. Calculate the remainder when n is divided by 9.
6
Let r = 25 - 17. Suppose -31*j + 4*j + 1134 = 0. Suppose -4*u + 4*p - 15 = -63, j = 3*u + 3*p. Calculate the remainder when u is divided by r.
5
Let i be (-28)/(-6)*(-147)/(-14). Suppose 40*y = i*y - 99. Calculate the remainder when (-7)/((2/6)/(-1)) is divided by y.
10
Let g = -16192 + 25934. What is the remainder when g is divided by 21?
19
Suppose 3*c = 3*o + 3, 4*o + 20 = -4*c - 16. Calculate the remainder when 6 + (39 - 8) - c/(-1) is divided by 18.
15
Suppose 2*d - 7*d = -80. Suppose -5*h = -3*k + 43, 187*k - 182*k - 3*h - 45 = 0. Calculate the remainder when d is divided by k.
4
Let d = 11993 + -11664. Calculate the remainder when 962 is divided by d.
304
Suppose -2*z = 14 - 16. Suppose 3*w - 5*s - 325 = 0, -209 = -2*w + 5*s + z. What is the remainder when w is divided by 30?
25
Let l(w) = w**2 - 2*w + 2. Suppose -k + 6 = 2*f, -f + 3 + 2 = 0. Calculate the remainder when (84/8 - 9) + (-86)/k is divided by l(3).
3
Let m(s) = -2*s**3 - 21*s**2 - 28*s - 4. Let o(q) = -q**3 + q**2 - 2*q. Let a(u) = m(u) - 3*o(u). What is the remainder when a(25) is divided by 37?
34
Let l = -27 + 34. What is the remainder when 81 is divided by -3*-2*(-1)/(-2)*l?
18
Calculate the remainder when (2/(-1 + -11) - 34/12) + 818 is divided by 12.
11
Suppose -1053 = 5*c - 1128. Calculate the remainder when 509 is divided by c.
14
Suppose -3*i = 2*x + x + 18, 2*i - 8 = 3*x. Calculate the remainder when 52 is divided by (45/(-6) + x)/(1/(-2)).
6
Let a(r) = -54*r**2 - 53*r. Let p(k) = 25*k**2 + 26*k. Let j(v) = 6*a(v) + 13*p(v). What is the remainder when 271 is divided by j(-21)?
19
Let s(q) = 4*q + 27. Let m be s(-15). Let x = -29 - m. Suppose 4*r - 152 = -2*w, x*r - 249 + 93 = -4*w. What is the remainder when r is divided by 8?
5
Suppose 22 = -8*t - 3*w + 72, 2*t - 24 = 5*w. Let x(n) = -9*n + 3 + 22*n - 3. Calculate the remainder when x(3) is divided by t.
4
Let b = 347 + -332. Suppose b*d - 773 = 37. Calculate the remainder when 267 is divided by d.
51
Suppose 5*p - 25 = 15. Suppose 2*o + 12 = p*o. What is the remainder when 11 is divided by o?
1
Let d = -10994 - -11627. Calculate the remainder when d is divided by 95.
63
Suppose -95*f + 86*f = -90. What is the remainder when 85 is divided by (9 + 116/(-20))*f?
21
Calculate the remainder when (-4 + (-52)/(-12))/((-224690)/22470 + 10) is divided by 192.
173
Let s = -2699 + 5063. Calculate the remainder when s is divided by 74.
70
Suppose l - 21 - 67 = -4*m, 3*m + l = 66. Suppose -3*o = o - 16, 5*j = 2*o + 377. What is the remainder when j is divided by m?
11
Suppose -10*c + 5 = -15*c. Let r be -39*(c + (-11)/3). Suppose 2*k + 45 = -x + r, 3*x - 147 = -2*k. What is the remainder when k is divided by 18?
12
Suppose -149*a = -52*a - 10379. Calculate the remainder when 244 is divided by a.
30
Suppose 0*j - 3*j - 119*j + 4514 = 0. Calculate the remainder when 313 is divided by j.
17
Let g(z) = 6*z**2 - 2*z. Let y be g(-2). Suppose -j = -3, -2*o = 5*j + y - 71. What is the remainder when 53 is divided by o?
11
Let i = 18767 + -17971. What is the remainder when 3993 is divided by i?
13
Suppose -h = 4*d + 95635, -4*d + 3*h - 95644 = 7*h. What is the remainder when (-3)/7 + d/(-301) is divided by 23?
10
Let l(r) = 69*r + 304. Suppose -3*c - 5*u = 9 - 25, 11 = 3*c + 4*u. Calculate the remainder when l(-4) is divided by 124/8 - c/6.
12
Suppose 0*a - 21 = -4*m - 5*a, -a + 5 = m. Suppose 16 = -0*x - 4*x, 4*d - m*x - 88 = 0. Suppose 0 = h - 86 + 53. What is the remainder when h is divided by d?
15
Let f(q) = -120*q + 1531. What is the remainder when f(-31) is divided by 101?
100
Let g be 5 - 0 - (77 - -9). Let v = 84 + g. Suppose 0 = v*w + 5*d - 118, 0 = 5*w - 3*d - 113 - 61. Calculate the remainder when 142 is divided by w.
34
Suppose 0 = -5*v - 4*f - 6, -2*f - f - 18 = -3*v. Suppose -9*o = v*o - 176. Calculate the remainder when 45 is divided by o.
13
Let m = 38 - 23. Let i(o) = 2*o - 25. Let l be i(m). Suppose -x - 5*b = -47, -x + 2*b - l*b + 43 = 0. Calculate the remainder when 71 is divided by x.
34
Let h = 253 - 399. Let j be ((-63)/(-2))/(((-6)/(-28))/(984/(-1148))). Let m = j - h. Calculate the remainder when 76