
12
Let z = 76 - 60. Calculate the remainder when 47 is divided by z.
15
Let k be 2/((-2)/(-49)) - 0. Suppose -35 = -4*f + k. Suppose 5*p + 5*b - 75 = 0, p = 3*p - b - f. What is the remainder when p is divided by 7?
5
Let n(d) = 4*d - 7. Let k(c) = -c + 5. Let l be k(4). Calculate the remainder when n(5) is divided by 0/(-2) + 5*l.
3
Let u be 3/(((-18)/(-4))/3). Let n(w) = 33*w - 1. What is the remainder when n(u) is divided by 22?
21
Let i = 77 + -32. Calculate the remainder when i is divided by 24.
21
Let n(i) = -i**2 + 11*i - 13. Calculate the remainder when n(9) is divided by 2.
1
Let n be 1*(-1)/(3/(-144)). Suppose -5*j - 8 = -n. Let m(b) = -b**3 + 6*b**2 + 11*b - 5. Calculate the remainder when m(7) is divided by j.
7
Suppose v + 2*x + 2*x = 62, -5*v + 2*x + 420 = 0. Calculate the remainder when v is divided by 14.
12
Calculate the remainder when -2 - (-44 - (-9)/(-3)) is divided by 23 - ((-9)/3 - -2).
21
Let k(l) = l - 3. Let d be k(12). Let b = -46 + 74. Let q = b - d. Calculate the remainder when q is divided by 10.
9
What is the remainder when (12/(-8))/(6/(-212)) is divided by 14?
11
Suppose -5*t = -2*d + 63, -3*d - 5*t = -2*d + 6. Let b be 8/6*(-21)/(-2). Suppose b = g + g. What is the remainder when d is divided by g?
5
Suppose 0 = 3*d + 8 + 4. Suppose -23*a + 19*a = -12. Calculate the remainder when a is divided by (1 - (-3)/(-2))*d.
1
Calculate the remainder when 3/9*(-2 - -50) is divided by 6.
4
Suppose -5*o = -4*p + 144 + 46, p - 40 = 5*o. Calculate the remainder when p is divided by 9.
5
Suppose -g - 12 = -3*g. Let u be 2/g + (-32)/(-12). Suppose 2*c = 3*c + 3, -c + 24 = u*k. Calculate the remainder when 16 is divided by k.
7
Let t(b) = 9*b - 3. Let g = 8 + -4. Suppose 71 = g*w - 45. What is the remainder when w is divided by t(2)?
14
Suppose 4*c = 3*p - 13, c - 16 = -p - 0*p. What is the remainder when p is divided by 8?
3
Let m(i) = i**2 - i + 1. Let l(b) = -5*b**2 + 2*b - 5. Let w(s) = -l(s) - 4*m(s). Let a be w(-3). What is the remainder when 8 is divided by (-1)/a + 13/4?
2
Suppose 0 = -3*x + x + 180. Let o = -64 + x. What is the remainder when o is divided by 11 + 1/(2/(-4))?
8
Suppose -4*r - 48 = -r. Let z = r + 27. What is the remainder when 32 is divided by z?
10
Suppose -882 = 23*j - 26*j. Calculate the remainder when j is divided by 33.
30
Suppose 3*s + 33 = 2*f + 6*s, 2*f - 2*s - 8 = 0. Calculate the remainder when f is divided by 5.
4
Suppose 5*m + 74 = -3*x + 248, 0 = -x - 2. What is the remainder when m is divided by 19?
17
Let x(j) = -j**2 - 10*j + 38. Let o = -74 + 114. Calculate the remainder when o is divided by x(-12).
12
Let i = 20 - 16. Suppose 0 = -6*f + i*f + 26. Calculate the remainder when 37 is divided by f.
11
Let i(h) = 11*h - 3. Suppose w - 2 = -w + 2*z, 0 = -3*z + 9. Suppose 5*r = w*u - 17, -2 = -2*u + r + 5. Calculate the remainder when i(u) is divided by 16.
14
Suppose -4*v + v + 564 = 0. What is the remainder when v is divided by 27?
26
Let q(z) = 15*z - 1. Let f(t) = -t**3 + 6*t**2 + 9*t - 9. Calculate the remainder when q(1) is divided by f(7).
4
Let o(w) = 20*w - 7. What is the remainder when o(2) is divided by 6?
3
Let g(f) = 2*f**2 - f - 5. Let p(s) = s**3 + 10*s**2 + 7*s - 8. What is the remainder when p(-7) is divided by g(4)?
21
Calculate the remainder when 41 is divided by (0 - 22)/((-10 - 0)/10).
19
Suppose 3*u - 119 = -4*m, 4*u - 2*m = m + 117. Let t(w) = -w**3 - 8*w**2 - 9*w + 3. Calculate the remainder when u is divided by t(-7).
16
Suppose -42 = -4*y - s, 0 = -4*y - 3*s - s + 36. Suppose 3*g - 10 = g. Let i(o) = 7*o - 3. What is the remainder when i(g) is divided by y?
10
Let s = -5 - -27. Let q = 233 - 229. What is the remainder when s is divided by q?
2
Let i(c) = c**3 - c + 27. What is the remainder when 71 is divided by i(0)?
17
Calculate the remainder when ((-390)/104)/(6/(-16)) is divided by 7.
3
Suppose -5*g + 3*c = -77, -c = -3*g + 6 + 37. What is the remainder when 24 is divided by g?
11
Let j(p) = 4*p + 0 + p - 1. Let c be j(-3). Let d = 27 + c. Calculate the remainder when d is divided by 6.
5
What is the remainder when 39 is divided by (-3)/((81/42)/(-9))?
11
Suppose -4*i - 12 = s - 73, -i = -1. Calculate the remainder when s is divided by 15.
12
Let p(j) = 3*j + 9. Let t be 5 - (9/3)/(-1). What is the remainder when p(t) is divided by 12?
9
Suppose 0*c + 3*c + 2*v - 214 = 0, 0 = 5*c - 4*v - 342. Suppose -2*i = -l + 30, 4*i - 9*i = 15. Calculate the remainder when c is divided by l.
22
Let j(m) = 7*m**2 - 2*m + 3. Calculate the remainder when 12 is divided by j(1).
4
Let y = 15 + 18. What is the remainder when y is divided by 6?
3
Suppose -2*f = 5*v + 21, -4*f + v + 8 = -5. Calculate the remainder when 23 is divided by (f/(-4))/(2/(-32)).
7
Let o = -61 + 73. Suppose 4*u + 3*g = 186, 5*u + g = -0*g + 227. What is the remainder when u is divided by o?
9
Suppose 23 - 3 = 2*p. Let r be (-63)/(-12) - (-1)/(-4). Suppose -31 + 11 = -r*m. Calculate the remainder when p is divided by m.
2
Let z = -6 + 7. Let r(o) = o**3 + 9*o**2 - o - 6. What is the remainder when r(-9) is divided by z?
0
Suppose -5*h = -9 - 16. Suppose -2*y + 3*i - 10 = -27, 3*y - 2*i = 23. Let g = 21 - y. Calculate the remainder when g is divided by h.
4
Let g(i) = -i**3 - 6*i**2 + 16*i + 12. What is the remainder when g(-8) is divided by 7?
5
Let m(h) = -2*h + 9. Let z be m(5). Let i = z + 13. Calculate the remainder when i is divided by 8.
4
Let v = -117 + 61. What is the remainder when ((-2)/(-4))/((-2)/v) is divided by 5?
4
Let j = -4 - -5. Suppose 3 = -q + j. Let l(t) = -6*t - 2. What is the remainder when l(q) is divided by 3?
1
Suppose 2*x = -2*x + 2*u - 26, -x + 6 = -3*u. Let l(n) = n**2 + 9*n + 13. What is the remainder when 25 is divided by l(x)?
12
Let d(k) = -47*k - 1. Let h be d(-1). Let x = h - 27. What is the remainder when -1*(0 + 0 - 37) is divided by x?
18
Let k(c) = 2*c + c**2 + c - 2*c + 2 - c**3. What is the remainder when k(-3) is divided by 18?
17
Suppose 5*d + 9 = -4*t, t + 0*t - d = 0. Calculate the remainder when 6 - (6/3 + t) is divided by 3 - (-2 - (-5 - -4)).
1
Let r(w) = -w**3 + 10*w**2 - 3*w - 5. Let u be r(4). Suppose 0 = -5*s + 226 + u. Calculate the remainder when s is divided by 21.
19
Suppose -3 = 3*z - 18. Suppose -5*j + 3*y + 76 = 2*y, z*j - 2*y = 72. Calculate the remainder when 47 is divided by j.
15
Let a(d) = -d**3 - 7*d**2 - 7*d - 4. Let g be a(-6). Let p(n) = 2*n**3 + 4*n**2 - 3*n. What is the remainder when p(g) is divided by 6/((-24)/(-9) + -2)?
8
Suppose 3*o + 91 = -4*o. Let b = 34 - o. What is the remainder when b is divided by 12?
11
Let s = 34 + -19. Calculate the remainder when 55 is divided by s.
10
Suppose -i + 45 = -2*s, 227 - 69 = 4*i + 3*s. Calculate the remainder when i is divided by 22.
19
Suppose -2*j + 2*x + 248 = 0, -2*x + 118 = -0*j + j. Calculate the remainder when j is divided by 31.
29
Let c(x) = 5*x - 2. Let d be c(-2). Let a = d + 26. Let t = a - 0. Calculate the remainder when t is divided by 5.
4
Let h(t) = 2*t**3 - 4*t**2 + 2*t - 2. Calculate the remainder when 64 is divided by h(3).
20
Let s(c) = -c**2 + 14*c - 16. Let q be s(13). Calculate the remainder when 61 is divided by (-3 - 21/q)*4.
13
Let m = 20 - 6. Calculate the remainder when 41 is divided by m.
13
Suppose -23 + 3 = -4*x. Suppose 0 = -5*m - 5*y + 60, 0 = -0*y - x*y. Calculate the remainder when 34 is divided by m.
10
Let q = -12 - -25. What is the remainder when 49 is divided by q?
10
Let h(z) = z**3 + 2*z**2 - 6*z - 5. Calculate the remainder when h(4) is divided by 18.
13
Suppose -5*n = -3*b + 6*b - 88, -2*b + 2*n = -80. Let p(d) = 1 + 0 + 0 + b*d**2. Calculate the remainder when p(-1) is divided by 19.
18
Suppose 2*l + 48 = 2*t, 5*l - 2*l = -2*t + 48. Calculate the remainder when t is divided by 13.
11
What is the remainder when 2360/15 - (-2 - 8/(-6)) is divided by 54?
50
Suppose -3 = -3*y, -2*n + 5*n - 13 = 2*y. Calculate the remainder when (-74)/(-8) - (-1)/(-4) is divided by n.
4
Suppose 0 = 5*i - 65 + 25. Let h(c) = -c**3 - 3*c**2 + 4*c + 3. What is the remainder when i is divided by h(-4)?
2
Let g = 11 + -7. Let u be (-9)/6*g/(-3). Let w = u - 0. Calculate the remainder when w is divided by 1.
0
Let t(n) = 2*n - 3. Let r be (-56)/(-10) - (-2)/5. Let d be t(r). 