ose c - 12 = -2*c. Suppose n = c*n - 30. What is the remainder when 19 is divided by n?
9
Let y be (-1)/((-7)/18)*(-168)/(-24). Suppose -6 - y = -3*l. Calculate the remainder when 85 is divided by l.
5
Let i = -91 + 224. What is the remainder when i is divided by 45?
43
Let u(y) = 2*y**2 - 5*y + 6. Let m be u(6). Let c = -32 + m. Suppose 0 = 23*s - 1493 + 90. What is the remainder when s is divided by c?
13
Let s = -231 - -1. Suppose -l + 3 = 4*v - 42, 2*v + 65 = 3*l. Calculate the remainder when l is divided by s/(-18) - (-6)/27.
12
Suppose 0*d + 520 = 5*d. Let w(n) = -2*n**2 - 5*n + 35. What is the remainder when d is divided by w(0)?
34
Let c = 851 + -603. Suppose 5*b = 3*a + c, -3*b + 68 = -2*a - 80. Calculate the remainder when b is divided by 19.
14
Suppose 4*o - 13 = 7. Suppose 3*h - o = 4. Let s = -72 + 76. Calculate the remainder when s is divided by h.
1
Let d be (3 - 5)*(-61)/(-2). Let f = 65 + d. What is the remainder when f is divided by 3?
1
Suppose 598 - 190 = 6*y. What is the remainder when 233 is divided by y?
29
Let k = -1216 - -1228. What is the remainder when 692 is divided by k?
8
Let s(i) = -i**3 + 10*i**2 + 4*i. Suppose 2*n = -3*r + 35, -3*n + 40 = r - 8*n. Calculate the remainder when s(10) is divided by r.
10
Suppose -153*y + 139*y = -308. What is the remainder when 86 is divided by y?
20
Let p = -19 - -19. Suppose 8 = 2*x - p. Suppose 3*g - x*g = -37. Calculate the remainder when g is divided by 20.
17
Let g(f) = -3*f + 20. Let r(k) = 1. Let v(z) = -g(z) - 3*r(z). Calculate the remainder when 53 is divided by v(10).
4
Suppose -u + 0*u - 2*w = -5, 4*u + w = 55. Calculate the remainder when 16 is divided by u.
1
Let r(b) = 30*b**2 + 3*b - 5. Suppose 5*k - 159 = -2*v + 2*k, -k = 4*v - 343. Calculate the remainder when v is divided by r(-1).
21
Suppose 6 = -g + 2*g. Let z be (-8)/g - (-1085)/15. Suppose 4*m - z = q, -3*q = -4*m - q + 70. What is the remainder when 69 is divided by m?
15
Let s = 314 + 651. Calculate the remainder when s is divided by 88.
85
Suppose 2*a + 35 = 43. Suppose g + a*o = 93, 0*o = -3*o - 12. Calculate the remainder when g is divided by 22.
21
Suppose 2*m - v - 163 = 0, 3*m - 3*v = 57 + 195. What is the remainder when m is divided by 326/8 - (-36)/144?
38
Let z(d) = -d + 8. Let r be z(12). Let k be (-7)/((-28)/(-6))*r. Calculate the remainder when 21 is divided by (-9)/k*(-16)/3.
5
Let h(q) = -2*q - 2. Let x(u) = u**3 + 13*u**2 - 17*u - 28. What is the remainder when x(-14) is divided by h(-3)?
2
Let o(q) = 3*q - 15. Let u be o(6). Suppose 3*c = 249 - u. Calculate the remainder when c is divided by 21.
19
Suppose 7*p - 148 + 15 = 0. Let j(w) = w - 3. Let d be j(7). Suppose 177 - 29 = d*n. Calculate the remainder when n is divided by p.
18
Let v(t) = t**2 + 2*t - 1. Let w(f) = -f**3 + 4*f**2 + 12*f + 3. Let c be w(6). What is the remainder when 26 is divided by v(c)?
12
Let t(w) = -2*w**2 - 18*w - 8. Let o be t(-9). Let c = 90 + o. What is the remainder when c is divided by 14?
12
Suppose -2*y = -9 - 5. Let q(u) = 12 + 0*u**2 - 8 - 2*u**2 - u**3 + 11*u**2 - u. What is the remainder when q(y) is divided by 32?
31
Let b = 1270 - 1804. Calculate the remainder when 25 is divided by b/(-42) + (-2)/(-7).
12
Let s be (6/(-4))/(24/128). Let o = s + 22. Let a(f) = -f**3 + 15*f**2 - 14*f + 16. Calculate the remainder when a(o) is divided by 9.
7
Suppose 3*s + 3*d = 6*s - 213, 2*d = -s + 80. Suppose -9*r - 160 = -13*r. What is the remainder when s is divided by r?
34
Suppose n + 228 = 2*y, -10*y = -12*y + 3*n + 224. Suppose 0 = g - 4*f - 34 - 3, -4*f = 5*g - 137. What is the remainder when y is divided by g?
28
Suppose 3*j - 1358 = 985. Calculate the remainder when j is divided by 23.
22
Suppose -6*y - 4*y + 140 = 0. Let t = 83 + -44. Calculate the remainder when t is divided by y.
11
Let h(w) = w**2 - 6*w - 9. Let f = 141 - 74. What is the remainder when f is divided by h(-3)?
13
Suppose s + 0*n = -2*n + 56, s - 47 = -5*n. Suppose 402 = 5*k + s. Calculate the remainder when k is divided by 37.
31
Let c = 957 + -903. What is the remainder when c is divided by 23?
8
Let c = -431 + 453. Calculate the remainder when 856 is divided by c.
20
Let f = 1057 + -745. Calculate the remainder when f is divided by 24.
0
Suppose -2*t + 686 = -5*d, 123 = t + 4*d - 207. What is the remainder when t is divided by 85?
83
Let i(q) = q**3 - q**2 - q - 17. Let w be i(0). Let y = 29 + w. Let f(t) = -t**3 + 9*t**2 + 6*t - 7. Calculate the remainder when f(9) is divided by y.
11
Let d(a) = -a**3 + 6*a**2 - 2*a - 11. Let u be d(5). Suppose p - 3*p = -4*f + 88, 0 = -u*p. Calculate the remainder when f is divided by 13.
9
Let r(u) = -u**2 - 13*u + 9. Let d(l) = -l**2 + 3*l - 3. Let n be d(5). Calculate the remainder when 23 is divided by r(n).
5
Suppose 3 = 3*w + 3*x, -3*w + 4*x + 14 = 2*w. Let f(k) = 10*k + 4*k**w - 10*k**2 - 12 + 5*k**2. Calculate the remainder when 16 is divided by f(7).
7
Suppose -c - 4 = 0, z + c - 4 = 2*c. Suppose 323*x - 325*x + 74 = z. Let s = 17 - -2. Calculate the remainder when x is divided by s.
18
Let d(t) = -t**3 - 8*t**2 + 11*t + 44. What is the remainder when 126 is divided by d(-9)?
22
Let t(r) = r**2 - 47*r + 195. What is the remainder when t(44) is divided by 5?
3
Let u be (8/12)/((-2)/(-3))*-1. Calculate the remainder when (u + -121)*10/(-20) is divided by 21.
19
Let h(m) = 24*m - 23. Let w be h(-5). Let z = -134 - w. What is the remainder when 15 is divided by z?
6
Let n = -36 - -63. Suppose 3*s + 6 = -5*p - 0*p, -4*s = -5*p - n. What is the remainder when 10 is divided by s?
1
Let l(j) = -12*j. Calculate the remainder when l(-10) is divided by 100.
20
Suppose 2*j + 2 = 4*h, 0 = -j - 8*h + 3*h - 1. What is the remainder when 10/(-45) - (-110)/9 is divided by -3*((-4)/6 + j)?
2
Let w(i) = 6*i - 186. What is the remainder when w(40) is divided by 16?
6
Let g be (-1)/((-1)/4)*(-162)/(-8). Suppose 0 = -3*y + 120 + g. Calculate the remainder when y is divided by 24.
19
Suppose 0 = 3*g - 4*g + 5. Suppose -51 = -4*d + g. Calculate the remainder when (-78)/(-8)*(3 + 1) is divided by d.
11
Suppose 19 = 2*a + p, -3*p = 15*a - 20*a + 20. What is the remainder when 1383 is divided by a?
4
Let y(v) = 2*v - 12. Let k be y(8). Suppose k*z - 175 = 77. Calculate the remainder when z is divided by 20.
3
Suppose -2 - 4 = -3*m. Suppose 8 = m*l - 2. Calculate the remainder when 12 is divided by l.
2
Suppose -b - 788 = -5*z, b + 638 = 4*z + 4*b. What is the remainder when z is divided by 18?
14
Suppose 3*q = 5*q - 584. Suppose 0 = -0*v + 4*v - q. Calculate the remainder when v is divided by 38.
35
Suppose -7*b + 39*b = 96. Calculate the remainder when 14 is divided by b.
2
Let i be (-4)/(-16)*2 + (-290)/4. Let h = i - -106. What is the remainder when h is divided by 18?
16
Suppose -20 = -p - 2*w, -4*p + 5*w = -28 - 65. Let k = 0 + p. What is the remainder when (-393)/(-6) + 4/(-8) is divided by k?
21
Let d = 36 - 23. Suppose 3*j - 147 = r, j = -0*j + 3*r + 57. Calculate the remainder when j is divided by d.
9
Let y = -103 - -26. Let c = -6 + y. Calculate the remainder when 79 is divided by c/(-4) - (-7)/28.
16
Let i = -28 + 28. Suppose 2*t = t + w + 26, i = -w - 2. What is the remainder when t is divided by 7?
3
Let a(t) = -t - 14. Calculate the remainder when 0 - (1 + -10 - (-3)/(-1)) is divided by a(-18).
0
Let k(o) = o**2 - 12*o + 47. Calculate the remainder when 115 is divided by k(10).
7
Suppose 0 = -3*y + 4*l + 166, -y = -0*l - l - 55. What is the remainder when y is divided by 4?
2
Suppose 30*n = 503 + 667. What is the remainder when n is divided by 8?
7
Suppose 2642*r + 37 = 2643*r. What is the remainder when 443 is divided by r?
36
Let p = -483 - -275. Let u = p + 348. Suppose -3*n + 1 + 328 = 5*s, -u = -2*s - 4*n. Calculate the remainder when s is divided by 22.
20
Let q = -219 + 291. Calculate the remainder when q is divided by 37.
35
Let t = -6593 - -6612. What is the remainder when (-1)/((-56)/55 - -1) is divided by t?
17
Let g(q) = q**3 + 5*q**2 + 3*q + 2. Let t be g(-4). Suppose -t*s = -47 - 13. Calculate the remainder when 28 is divided by s.
8
Let t(h) = 4*h - 20. Let j be t(7). Suppose 3*z = -j*z + 352. What is the remainder when z is divided by 12?
8
Let k(f) = f**2 + 4*f + 20. Calculate the rema