a - 5*r - 7 + 47, -3*r + 69 = 3*a. Calculate the remainder when a is divided by 18.
7
Let v = -108 + 52. Let m = 173 + v. What is the remainder when m is divided by 20?
17
Let c(z) = -3 + z - 9*z**2 + 2 + 11*z**2. Suppose 4*p + 10 = k - 16, -2*p - 94 = -5*k. What is the remainder when k is divided by c(-2)?
3
Suppose 212 = 4*x + 4*a, -7*x + 4*x + 4*a + 131 = 0. Calculate the remainder when 488 is divided by x.
47
Let d be -1 - 115 - (1 - 3). Suppose 5*w = -0*w + 20, -v - 3*w + 27 = 0. What is the remainder when (2 + 0)*d/(-4) is divided by v?
12
Suppose 5*d - 50 = -3*u, -7*u + 2*d + 58 = -3*u. Suppose 333 - 105 = 4*b. What is the remainder when b is divided by u?
12
Let i = -20 - -11. Suppose -29 = -5*w + 46. Let y = i + w. Calculate the remainder when 21 is divided by y.
3
Let b(o) = o**3 + 5*o**2 - 32*o - 135. Let f = 2 - -2. What is the remainder when b(-6) is divided by f?
1
Let p(f) = -f**2 - f**3 + 7 - 7 - 2*f. Let y be p(-2). What is the remainder when 19 is divided by (-20)/3*(-12)/y?
9
Suppose 1025 = 61*q - 36*q. What is the remainder when q is divided by 7?
6
Suppose 4*s = -4*x + 1660, -2*s = -6*s + x + 1680. Calculate the remainder when s is divided by 12.
11
Suppose 10*y = -12*y + 2618. Calculate the remainder when 347 is divided by y.
109
Suppose -3*z = -g - 7, -535*z - 5*g = -537*z + 22. Suppose 3 = -5*s + 6*s. Calculate the remainder when s is divided by z.
0
Suppose 3230 = 3*a + 7*a. Suppose 0 = -4*f - y + 2*y + 419, -3*f + a = y. Calculate the remainder when f is divided by 36.
34
Let u(g) = 10*g**2 - 7*g + 11. What is the remainder when 64 is divided by u(2)?
27
Suppose -3*l = -4*l + 21. Let h(n) = 11*n + 5. Calculate the remainder when h(5) is divided by l.
18
Suppose -4*g - 3*v + 163 = 0, 2*g - 7*v + 6*v - 89 = 0. What is the remainder when g is divided by 12?
7
Let r(b) = -6*b + 2*b**2 - 3*b**3 - 14 + 16 + 4*b**3. What is the remainder when r(4) is divided by 19?
17
Let g(y) = 3*y - 5. Let t = -29 - -47. What is the remainder when t is divided by g(5)?
8
Suppose -52*d = -4*y - 50*d + 446, -5*d - 455 = -4*y. Calculate the remainder when 415 is divided by y.
85
Let g be 126/(-27)*30/(-7). Suppose -4*d + g + 24 = 0. Calculate the remainder when 39 is divided by d.
6
Let g = 31 - 19. Let t(k) = -3*k + 51. What is the remainder when t(g) is divided by 20/(-6)*(-12)/10?
3
Suppose 51*u = -56*u + 428. What is the remainder when 128 is divided by u?
0
Suppose -264 = -0*u - 4*u - r, -5*u + 351 = -4*r. Calculate the remainder when u is divided by 3.
1
Suppose -3*m + 54 = -6. Suppose g - 4*p - m = -0*g, 5*g + 5*p = 225. What is the remainder when 238 is divided by g?
38
Let k(v) = -v**3 + 6*v**2 + 4*v - 6. Let w be k(6). Suppose 0 = n + 4*n - 95. What is the remainder when n is divided by 473/99 - (-4)/w?
4
Let z = -22 - -59. Let o = -32 + z. What is the remainder when 8 is divided by o?
3
Let g be (-2)/13 - 1*(-3845)/65. Suppose -a - n = a - 26, -g = -5*a - 4*n. What is the remainder when 22 is divided by a?
7
Let f(c) = -c**2 + 10*c + 12. Let k = 28 - 17. What is the remainder when f(k) is divided by 1?
0
Suppose 192 = 2*x + 2*x. Let n = 83 - x. What is the remainder when n is divided by 477/36 + 3/(-12)*5?
11
What is the remainder when -2*-14*3/4 is divided by 2/8 - (-47)/4?
9
Suppose -648 = 61*b - 79*b. Calculate the remainder when 43 is divided by b.
7
Let y(c) = c**3 - 6*c**2 + 10*c - 7. Suppose -t + 29 = -3*r, 6*t = 8*t - r - 33. Calculate the remainder when y(6) is divided by t.
11
Suppose -253 = x + 3*c, -130 = -2*x + 2*c - 668. Let a = -188 - x. What is the remainder when a is divided by 10?
7
Suppose s = -5*s + 384. What is the remainder when s is divided by 19?
7
Let c(m) be the second derivative of 23*m**4/12 + m**3/3 + 2*m**2 - m. Calculate the remainder when c(3) is divided by 55.
52
Let z = -375 - -239. Let g = -97 - z. Calculate the remainder when g is divided by 17.
5
Suppose o - 4*o = -171. Suppose -o = -v - 2*v. Suppose 3*a - 240 = -5*m, -2*a - 3*m + 4 = -155. Calculate the remainder when a is divided by v.
18
Suppose 6*h - 4*h - 3*t = 33, -3*h + t + 53 = 0. Suppose -h = -2*r - u + 28, r + u = 25. Calculate the remainder when r is divided by 8.
5
Suppose 0 = -b - 3*n - n + 31, -4*n = 8. Let f(m) = -13*m + 12. Calculate the remainder when f(-11) is divided by b.
38
Let i(x) = -3*x**2 - 26*x + 22. What is the remainder when 46 is divided by i(-9)?
7
Let m(l) = -l + 19. Let x be m(0). Suppose -32*h + 28*h = -16. Suppose h*b = 17 + x. Calculate the remainder when 35 is divided by b.
8
Let t = 303 - 287. What is the remainder when 140 is divided by t?
12
Let k be 17/5 + (-10)/25 + 27. Let q = k + -12. Calculate the remainder when 124 is divided by q.
16
Let q(k) = 4*k**2 + 18*k + 38. What is the remainder when 387 is divided by q(-4)?
27
Let q(w) = 4*w**2 + 20*w - 64. Calculate the remainder when q(3) is divided by 7.
4
Suppose 4*m = -5*n + 58, -2*m = -5*m - 2*n + 47. Calculate the remainder when (0 - 345)*((-588)/63 - -9) is divided by m.
13
Calculate the remainder when 15 is divided by (-7)/(-6 + -1) - -5.
3
Let v be 3*(2 - (-176)/12). Let z = v + -19. Suppose 0 = -t - t + 242. What is the remainder when t is divided by z?
28
Let u be -3 - (2 + -3 + -9). Suppose -w = -3*p + 6, -5*p - u = -22. What is the remainder when ((-46)/w)/((-6)/9) is divided by 6?
5
What is the remainder when 32 is divided by (-101)/(-6) + 7/42?
15
Suppose -3*a = 2 - 5. What is the remainder when 70 is divided by 380/50 - 4/(-10)*a?
6
Let o = -1009 - -1019. What is the remainder when o is divided by 1?
0
Suppose 0*f = 5*f + 10. What is the remainder when 108 is divided by (18/63)/(f/(-154))?
20
Suppose 7*w + 9 = 30. Suppose 11 = w*j + 5*s, 2*j - s - 12 - 17 = 0. What is the remainder when 21 is divided by j?
9
What is the remainder when 145 is divided by 5 - (-4 - (-18)/(-15)*10)?
19
Let v = 34 - 15. What is the remainder when 3552/(-80)*10/(-4) is divided by v?
16
Suppose -5*d - 701 = -x, -d + 5*d + 4*x + 556 = 0. Let n = 13 - 1. What is the remainder when (3*d/6)/(-2) is divided by n?
11
Let u be -2*4/24*3 - -4. Let m(j) = j**3 - j**2 - 2. Calculate the remainder when 76 is divided by m(u).
12
Let i(w) = 5*w**2 + 211*w + 87. What is the remainder when i(-43) is divided by 70?
49
Let f = 28 - 28. Suppose f = -2*g + 114 + 14. Calculate the remainder when g is divided by 33.
31
Let l(q) = -2*q**3 + 57*q**2 - 22*q - 10. What is the remainder when l(28) is divided by 19?
6
Suppose -68*w = -2598 + 626. Calculate the remainder when 368 is divided by w.
20
Let t(p) = -2*p + 18. Let z be t(19). Calculate the remainder when 38 is divided by z*(-4)/(0 - -8).
8
Suppose 39*g = 40*g - 2*m - 78, 2*g - m - 144 = 0. What is the remainder when g is divided by 25?
20
Let y = 107 + -48. Calculate the remainder when y is divided by (-54)/189 + ((-512)/28 - -3)/(-1).
14
Let d = -20 + 22. Let m(z) = z**3 - z - 2. Let s be m(d). Suppose 0 = -s*g + 308 - 4. What is the remainder when g is divided by 26?
24
Let s = -90 - -95. Calculate the remainder when s is divided by (-11)/(-3) + (-2)/(-6).
1
Suppose 0 = 3*n - u + 6*u - 611, 374 = 2*n - 5*u. Calculate the remainder when n is divided by 51.
44
Let x = 346 - 289. What is the remainder when 130 is divided by x?
16
Let t(c) = c + 5. Let w be t(-6). Calculate the remainder when ((-23)/w)/(2/4) is divided by (-6 - (-306)/48) + 500/32.
14
Let j(u) = -2*u**3 + 2*u - 1. Let c be j(1). Calculate the remainder when c/(-3*3/315) is divided by 3/(-2)*2*-3.
8
Let k = 2085 - 1919. What is the remainder when k is divided by 10?
6
Suppose 3*r + 4*k = 2386, r + 2*k - 198 = 596. Calculate the remainder when r is divided by 100.
98
Let m(w) = w**3 - 7*w**2 - 24*w - 34. What is the remainder when 319 is divided by m(10)?
7
Let b = -52 + 138. Suppose -4*p = -2*r - 98, 2*r = 2*p - 42 - 12. What is the remainder when b is divided by p?
20
Suppose -83 = -k - 4*v + 6*v, 3*k - 249 = v. What is the remainder when k is divided by 26?
5
Suppose 3 = t + 2*s, -4*t + 16 = 2*s - 26. What is the remainder when 28 is divided by t?
2
Let v = -3 + 6. Suppose 5*u - w = 135, v*w = 3*u + w - 88. Suppose -2*f + 4*a = -194, -24*f + 20*f + 4*a = -396. Calculate the remainder when f is divided by u.
23
Suppose -2*i - 3 = 1, 4*h = 2*i + 8. Let d be (h - (