he remainder when (16/(-3))/((-10)/15) is divided by 2 - (1 + 2/k)?
2
Suppose 0*v + 4*v = 3*y + 9, -3*y = 2*v - 9. What is the remainder when (-6)/4*(-12)/18 is divided by y?
0
Let w = -4 - 2. Let t be (-2)/(-3) + (-26)/w. What is the remainder when 28 is divided by 4*4 - 5/t?
13
Let x = 76 + -30. Calculate the remainder when x is divided by 10.
6
Let v(f) = -2*f - 2. Suppose 30 + 5 = -5*j. Let p = -10 - -17. What is the remainder when v(j) is divided by p?
5
Let v be 0 - (-2 - (-54)/(-2)). Suppose 4*b - 15 + 3 = 0, v = 2*o - b. What is the remainder when o is divided by 6?
4
Suppose 0*s + 123 = 4*s + 3*v, -12 = 4*v. Calculate the remainder when s is divided by 12.
9
Suppose 0 = 2*f - 4*l - 21 + 3, -2*l = -2*f + 20. Calculate the remainder when 30 is divided by f.
8
What is the remainder when (-2)/11 - (-2516)/44 is divided by 15?
12
Let d be (-7 - -7)/(-1*1). Suppose -4*i + d*i = -60. What is the remainder when i is divided by 9?
6
Let x = -4 + 6. Calculate the remainder when (-548)/(-8) + x/(-4) is divided by 23.
22
Let m(t) = 8*t**2 + 4*t - 1. Calculate the remainder when m(1) is divided by 3.
2
Suppose 0 = 5*n - 0*n - 10. Suppose n*v - 58 = -2*v - 2*y, 5*y = 2*v - 35. Calculate the remainder when 42 is divided by v.
12
Suppose 211 = 2*i - 25. What is the remainder when i is divided by 40?
38
Calculate the remainder when (225/6)/(10/20) is divided by 28.
19
Suppose b + 14 = 2*o, 20 = 2*o + o - 2*b. Let y be (-2)/o + 68/16. Suppose y*v + 10 = t + t, -2*t + 3*v = -9. Calculate the remainder when 5 is divided by t.
2
Let t(g) = -g**3 - 9*g**2 - 7*g + 11. Let x be t(-8). Suppose 0 = 6*c - x*c - 21. Suppose 0 = c*w - 2*w - 75. Calculate the remainder when w is divided by 6.
3
Let r(q) = q**2 + 7*q + 2. Let i be r(-8). Calculate the remainder when 2/10 - (-408)/i is divided by 11.
8
Let a(b) = b**3 - 5*b**2 - 5*b - 4. Let f be a(6). Let i = f + 0. Suppose 2*p = -s, s - 5*p - i = 3*s. Calculate the remainder when s is divided by 3.
1
Suppose 4 = -4*n, -4*t + 63 = t - 3*n. Calculate the remainder when 21 is divided by t.
9
Calculate the remainder when ((-62)/3)/((-8)/12) is divided by 8.
7
Suppose 6*m - 72 = 2*m. Let h(b) = -14*b + 11. Calculate the remainder when h(-3) is divided by m.
17
Suppose 0 = 5*c - 2*q - 175, 0 = 4*c + 2*q - 176 + 54. What is the remainder when 131 is divided by c?
32
Suppose -4 = 2*t - 3*t. Suppose -t*a + 2*a + 2 = 0. Let v(o) = o**2 + 2*o - 2. What is the remainder when a is divided by v(-3)?
0
Let g be -58*3/12*2. Let s = 40 + g. Calculate the remainder when 31 is divided by s.
9
What is the remainder when (-12)/(-20) + 307/5 is divided by 11?
7
Suppose 0 = -191*f + 188*f + 102. What is the remainder when 101 is divided by f?
33
Suppose 93 = -3*u + 6*u + 3*h, -5*h = 3*u - 93. Calculate the remainder when u is divided by 11.
9
Let k = 77 - -28. Calculate the remainder when k is divided by 36.
33
Suppose 2*j - 8 - 58 = 0. Let d = 66 - j. What is the remainder when d is divided by 18?
15
Suppose 0 = -i - 2*o + 23, 15 = i - 5*o - 1. Calculate the remainder when 81 is divided by i.
18
Let f = 41 + -23. What is the remainder when f is divided by 4?
2
Suppose 0 = -k + 7 - 2. What is the remainder when 14 is divided by k?
4
Suppose 8 = -5*m - h, 0*m - 2*m = -2*h - 4. Let w(x) = -3*x**3 - x**2. Let j be w(m). Suppose 3*r - 14 = j*r. Calculate the remainder when 26 is divided by r.
12
Suppose -4*j + 23 = 4*l - 17, -4*j + 5*l = 5. Calculate the remainder when 21 is divided by j.
1
Suppose -v + 28 = -0*v + 2*s, -5*v + 153 = -3*s. What is the remainder when v is divided by 16?
14
Let h(c) = c**3 - 6*c**2 - 2*c - 1. Calculate the remainder when 166 is divided by h(7).
30
Suppose 2*r - 2*m = -372, 5*r - r = m - 744. Let f be r/((-4)/2) - 0. Suppose 2*a - f = -a. What is the remainder when a is divided by 16?
15
Let b = 14 + -4. Suppose -2*n + 12 = -b. Calculate the remainder when n is divided by 0 - -3 - (-6 + 3).
5
Let u(l) = 4*l + 1. Suppose 3*f = -2*f - 15. Let k(b) = -7*b - 3. Let p(r) = f*k(r) - 5*u(r). Calculate the remainder when 28 is divided by p(6).
8
Let u = -47 - -75. Calculate the remainder when u is divided by 10.
8
Let r(w) = -w + 3. Calculate the remainder when r(-4) is divided by 5.
2
Let x(l) = 2*l**2 + 7*l + 5. Let p be (-7)/((-3)/6*2). Suppose -t - 48 = -3*c, -3*c + p*c - 74 = -2*t. Calculate the remainder when c is divided by x(-4).
8
Let m(l) = -l**3 + 8*l**2 - 7*l - 3. Let v be m(7). Let a be -3 - 2 - (1 + v). What is the remainder when (-77)/a - 2/3 is divided by 13?
12
Suppose 2*q = 4*z - 3*q, 5*z = 4*q. Let n be 5 + (1 - (1 - z)). Suppose -d - 57 = -2*u + 13, 2*u + n*d - 58 = 0. What is the remainder when u is divided by 12?
10
Suppose -2*g + 28 = -16. Calculate the remainder when 87 is divided by g.
21
Let p = -6 + 6. Suppose p = 3*h - 28 + 1. What is the remainder when 24 is divided by h?
6
Let d = -9 + 18. Let n = -3 + d. Calculate the remainder when 21 is divided by n.
3
Suppose -3*d - 123 = -0*d. Let v(p) = -23*p - 1. What is the remainder when v(-1) is divided by d/(-5) + 4/(-20)?
6
Let q = 9 + -4. Suppose -q*s = p + 18, s + 5*p - 2 = -20. What is the remainder when 33 is divided by 9*s*3/(-9)?
6
Suppose 3*k + 0*h + 5*h - 273 = 0, -455 = -5*k - 3*h. What is the remainder when k is divided by 24?
19
Let p(f) = f**2 - 3*f - 5. Let c be p(5). Suppose -2*a + 25 = -g, -a - c = -2*a + 3*g. Calculate the remainder when 27 is divided by a.
13
Let w be ((-14)/4)/((-2)/4). Let h(i) = i**3 - 7*i**2 + 5*i. What is the remainder when h(w) is divided by 18?
17
Suppose -4*h = -2*q - 8, 0 = h + 2*q - 2 - 5. Suppose 45 - 18 = h*b. Calculate the remainder when 26 is divided by b.
8
Let g = -46 + 57. Calculate the remainder when 43 is divided by g.
10
Suppose -i = -7*i + 270. Calculate the remainder when 179 is divided by i.
44
Let l be 7/((-14)/(-24))*-2. Suppose -134 = -3*m - 0*m - 5*g, 4*g + 60 = 2*m. Let d = l + m. What is the remainder when d is divided by 8?
6
Suppose n - m - 24 = -2*n, 4*n - 5*m = 32. Calculate the remainder when 21 is divided by n.
5
Let h be (-85)/34*(-1 - 1). Suppose -12 = -p - h*b, -5*p + 0*p = -3*b - 88. What is the remainder when 14*(-2)/((-4)/7) is divided by p?
15
Suppose 0 = -15*i + 13*i + 170. Calculate the remainder when i is divided by 29.
27
Suppose k + l - 37 = 0, k + 5*l = -3*k + 148. What is the remainder when k is divided by 19?
18
Let y(v) = v + 7. Let j be y(-8). Let d(c) = -34*c - 1. What is the remainder when d(j) is divided by 17?
16
Let d(s) = -4*s - 6. Suppose -2*q - 9 = -1. Calculate the remainder when d(q) is divided by 6.
4
Let w(t) = 2*t**2 + 2*t - 2. Suppose -5 - 15 = -4*p. What is the remainder when p is divided by w(-2)?
1
Calculate the remainder when 101 is divided by (-45)/30 - 146/(-4).
31
Let b(s) = s**2 + 5*s + 1. What is the remainder when b(-6) is divided by 2?
1
Suppose -2*f - 1 = -11, 0 = 4*u - 3*f - 29. What is the remainder when 32 is divided by u?
10
Let a be 10/(4/6*3). Suppose 23 = -a*h + 5*z + 133, -3*z = 3*h - 78. Calculate the remainder when 46 is divided by h.
22
Let a = 23 - 46. Let y = a + 72. What is the remainder when y is divided by 13?
10
Suppose -4*m + 13 = c, 0*c + 2*c - 4*m - 26 = 0. Suppose 3*b = 2*u - 53, 0*u + u + 2*b = 16. What is the remainder when u is divided by c?
9
Calculate the remainder when 66 is divided by (-2*(-2)/4)/((-3)/(-42)).
10
What is the remainder when 15 is divided by ((-4)/6)/(6/(-72))?
7
Let a(n) = n + 40. What is the remainder when 59 is divided by a(-9)?
28
Let w(q) = q**2 - 6*q + 2. Let k be w(6). Suppose 44 - 2 = k*o. What is the remainder when 81 is divided by o?
18
Let d(t) = -4*t - 8. Suppose -4 = 4*g + 2*w, -5*w - 10 - 10 = 0. Let m be g - -2 - (10 + 0). Calculate the remainder when 39 is divided by d(m).
19
Let h(f) = 2*f**2 - f - 1. Let i(r) = r**2 + 4*r + 2. Let z be i(-4). Let c be h(z). Let a = c + -1. Calculate the remainder when 10 is divided by a.
2
Suppose -3*q - 18 = -2*n + 18, 4*q + 28 = n. Suppose -64 = 11*k - n*k. What is the remainder when k is divided by 22?
20
Suppose 13 - 51 = -2*c. Let w(m) = m**2 - 9*m + 1. Calculate the remainder when w(12) is divided by c.
18
Let j = -1 - -2. Suppose -2*s = -3*b - 6*s - 9, -3*s + 9 = -3*b. Let z = 5 + b. What is the remainder when z is divided by j?
