*t + 65, -4*t + 45 = -3*j. Suppose 212 = 2*n - t. Calculate the remainder when n is divided by 23.
20
Suppose 13*c - 10*c = 15. Suppose 7*m + 4*z - c = 2*m, -2*m - 26 = -4*z. Calculate the remainder when -5 - m - -24 - -2 is divided by 9.
6
Calculate the remainder when 183 is divided by (5/((-20)/8))/((-6)/93).
28
Suppose 5*x - 5*n + 0*n - 80 = 0, -5*x - 5*n = -40. What is the remainder when 27 is divided by x?
3
What is the remainder when 262 is divided by -21*(2/(-6))/((-3)/(-6))?
10
Let n(b) = b**3 + 2*b**2 - 8*b - 5. Let p be n(-4). Calculate the remainder when 18 is divided by ((-12)/9 + 2)/(p/(-45)).
0
Let s be ((-42)/15)/(4/(-10)). Let u be (-1965)/(-105) + 2/s. What is the remainder when 82 is divided by u - (3 - 2 - 3)?
19
Let z(j) be the first derivative of 9*j**2/2 + 20*j + 47. Calculate the remainder when 70 is divided by z(0).
10
Suppose 22*f - 19*f = 3, c = 3*f + 72. What is the remainder when c is divided by 7?
5
Let o = -9 + 18. Suppose o*j = 10*j - 23. What is the remainder when j is divided by 6?
5
Let b(t) = -t**2 + 6*t - 2. Let f be b(5). Calculate the remainder when 60 is divided by f/((-5 - -3)/(-14)).
18
Suppose 23*y + 595 - 2918 = 0. What is the remainder when 3432 is divided by y?
99
Let p(i) = -2*i + 27. Calculate the remainder when 64 is divided by p(12).
1
Suppose v + q - 1 = 0, q = 4*v - 3*q - 36. Let i(y) = 20*y - 147. What is the remainder when i(8) is divided by v?
3
Let o = -4 + 7. Let l(r) = -6*r - 14. Let w be l(-5). Suppose -w*v + 5*v = -77. What is the remainder when v is divided by o?
1
Suppose c + 5 - 3 = 0. Let j be ((-18)/c)/(4 - 3). Suppose 3*r - j*r + 84 = 0. What is the remainder when 39 is divided by r?
11
Let n(p) = -p**2 - 5*p + 28. Let b be ((-14)/(-4))/(14/(-28)). Calculate the remainder when 40 is divided by n(b).
12
Suppose -m + 5*m + 140 = 5*g, 0 = -g + 4*m + 12. What is the remainder when 314 is divided by g?
26
Calculate the remainder when (6 - (-573)/4) + (-6)/(-8) is divided by 47.
9
Let h = -973 + 977. Calculate the remainder when 14 is divided by h.
2
Suppose -5*d = -4*m + 28, 19 + 9 = 4*m - 4*d. Let b be (m - 5)*(-22)/(-2). What is the remainder when 8 + b + (0 - 0) is divided by 11?
8
Let d = 482 - 478. What is the remainder when 34 is divided by d?
2
Suppose 3*u - 216 = -5*w, w = -3*u + 241 - 37. Suppose -4*i + 3*i = -34. Calculate the remainder when u is divided by i.
33
Let b = -59 - -63. Let p = b + 53. Calculate the remainder when p is divided by 15.
12
Let v(t) = -11*t + 1. Calculate the remainder when ((-84)/210)/(4/(-1090)) is divided by v(-5).
53
Let b = -44 - -123. Let n(s) = s - 5. Let t be n(7). Suppose -3*k - 117 = -4*m, -t*m + 4*k - 2*k = -60. What is the remainder when b is divided by m?
25
Calculate the remainder when 82 is divided by -14 - -7 - (-9 - 5).
5
Suppose 16*u - 129 = 15. Calculate the remainder when 896 is divided by u.
5
Let n = -134 - -12. Let r = n - -190. What is the remainder when r is divided by 35?
33
Suppose 307 - 373 = -3*c. Calculate the remainder when 57 is divided by c.
13
Suppose 0 = -5*i + 10, -3*i + 26 = -4*a + 8. What is the remainder when 15 is divided by 2 - a - (-6 - -2 - 0)?
6
Let v = 240 - 190. What is the remainder when 96 is divided by v?
46
Let c be 4/(-26) - 150/(-130). Suppose 74 = 3*q - c. What is the remainder when 123 is divided by q?
23
Suppose 0 = 13*u + 114 - 478. What is the remainder when u is divided by 5?
3
Suppose -6*t - 373 + 85 = 0. Calculate the remainder when 33 is divided by (-3)/(t/92) - 1/(-4).
3
Let t = -251 - -277. Calculate the remainder when 232 is divided by t.
24
Suppose 153 = -c - 2*c. Let n = 56 + c. Suppose -2*r = -3*l, 4*r = -4*l + 3*l + 14. Calculate the remainder when n is divided by r.
2
Let r be (2/2 - 1)/3. Suppose d - 4 = -r. What is the remainder when 128/10 - 3*(-2)/30 is divided by d?
1
Let f(h) = -h + 9. Let y be f(6). Suppose -2*k - y*r - 17 = 26, k + 2*r + 23 = 0. Let t = -7 - k. Calculate the remainder when 47 is divided by t.
7
Let w = 2535 - 2345. What is the remainder when w is divided by 49?
43
Let d(m) = -m**3 - 8*m**2. Let q be d(-8). Suppose -4*y + 4 = -q. Let x(u) = 36*u - 1. What is the remainder when x(y) is divided by 9?
8
Suppose 2*d - 7 = 17. Calculate the remainder when 31 is divided by d.
7
Let x = -7 + 9. Let y = 2 - -11. Calculate the remainder when 122/5 + x/(-5) is divided by y.
11
Suppose 2*u + 30*k - 28 = 35*k, 0 = -u - 4*k + 1. Calculate the remainder when 75 is divided by u.
3
Let z(p) = -p**3 + 6*p**2 - p - 6. Let k be z(5). What is the remainder when -1 + (-58)/(-3) + 9/(-27) is divided by k/(-3)*6/(-4)?
4
Suppose -3*k + 2*m = 6*m - 52, 3*k + 2*m = 50. Let p be -1 + (2 - 3) - -11. Calculate the remainder when (-3)/p + 616/21 is divided by k.
13
Let f be (2 - (3 + -2)) + 1 + -1. Calculate the remainder when (f - -8)/((-13)/(-130)) is divided by 47.
43
Let n(u) = -3*u**3 - 17*u**2 - 3*u + 2. What is the remainder when 76 is divided by n(-6)?
20
Let s = -31 + 43. Suppose 3*c + 2*c = u - 52, 5*c = -u + 32. What is the remainder when u is divided by s?
6
Suppose -11*r - 17*r = -280. Calculate the remainder when 147 is divided by r.
7
Let h be (2/4)/((-2)/(-64)). Suppose 6 = -5*x + h. Suppose -t + 6 = x*t. Calculate the remainder when t is divided by 2.
0
Let m = -16 - -14. Let y be (m - -1)*(-2)/(-2). What is the remainder when 14 is divided by (-9)/(-3) - 2/y?
4
What is the remainder when (-88 - 20/4)*-1 is divided by 32?
29
What is the remainder when 8/(96/1292) + (-1)/(-3) is divided by 14?
10
Let s(m) = m + 10. Let z be s(-7). Suppose z*a + r - 6*r = 76, a - 24 = r. What is the remainder when 64 is divided by a?
20
Suppose -j = -2*w - 777, -4*w + 5*w = 0. What is the remainder when j is divided by 30?
27
Suppose -140 = -5*b - 5*w, -12*w = b - 7*w - 28. What is the remainder when 108 is divided by b?
24
Let v(r) = -r + 42. Suppose -38 + 16 = -q + k, q - 17 = -4*k. Let h = q - -1. Calculate the remainder when v(0) is divided by h.
20
Let y(o) = 4*o + 44. What is the remainder when y(-3) is divided by 28?
4
Suppose 0 = -v + 2*f + 4, 2*v = 2*f + 2 + 6. Let a be v*1/12*3. Calculate the remainder when -4 - a*(2 + -54) is divided by 25.
23
Let s(l) = l**2 - l - 2. Let o = 18 + -22. Calculate the remainder when 53 is divided by s(o).
17
Let l = -148 + 220. What is the remainder when 239 is divided by l?
23
Suppose -16*a - 19*a = -1960. Calculate the remainder when a is divided by 22.
12
Let f be (-19)/(-38) - (98/(-4) - 1). Let d = 124 - f. What is the remainder when d is divided by 25?
23
Let z(k) = -k + 6 - 2 + 1. What is the remainder when ((-1)/4)/(-4 - 376/(-96)) is divided by z(3)?
1
Suppose -328*c + 315*c + 5018 = 0. Calculate the remainder when c is divided by 43.
42
Suppose -23*h + 3800 = -4*h. What is the remainder when h is divided by 52?
44
Suppose 16 = 4*m - 24. Suppose 3*l - 18 = -3*p - 6, -2*l - 4*p + m = 0. Suppose 0 = q - 31 + 25. Calculate the remainder when q is divided by l.
0
Let k(q) = 4*q**2 - 9*q + 27. What is the remainder when 875 is divided by k(4)?
50
Suppose 0 = -3*k - 11 - 1. Let t be k/10*(-25)/(-5). Let c(g) = -g**3 + g**2 - 2*g - 1. What is the remainder when 29 is divided by c(t)?
14
Suppose -98 = -6*u - 32. Suppose 13*z - 56 = u*z. What is the remainder when -1 - (-81 + 0 + -1) is divided by z?
25
Suppose 4*q - 5*j = 229 - 55, 0 = -2*q - 5*j + 72. Let s = 59 - q. Calculate the remainder when s is divided by ((-10)/8)/((-2)/8).
3
Suppose -10 = -3*x - 2*x. Let j = 6 - x. Suppose 0 = -h - w + 57, 3*h + 0*w + j*w = 174. What is the remainder when h is divided by 28?
26
Suppose 0 = 12*j - 2792 + 92. What is the remainder when j is divided by 23?
18
Calculate the remainder when 295 - (15 + 64/(-8)) is divided by 10.
8
Let c(j) = 32*j**2 - 48*j + 219. Calculate the remainder when c(5) is divided by 46.
43
Let s(k) = 12*k - 22. Calculate the remainder when 395 is divided by s(18).
7
Let p(f) = -7*f + 11 + 0*f + 0*f - 2*f + f**2. Suppose -j + 11 = 3*x, -3*x - x = 3*j - 33. What is the remainder when j is divided by p(8)?
2
Suppose -l + 2*n + 51 = 0, 5*l + 4*n = 144 + 69. What is the remainder when 78 is divided by l?
33
Calculate the remainder when (9526/6)/11 + 4/(-3) is divided by 37.
32
Suppose -10*t = -5*t - 15. Suppose -q + t*g - 17 = -2*g, 