 y = 7 - 5. Suppose 0 = -y*n + 7*n - 10. Suppose 1 = p - n. What is the remainder when 7 is divided by p?
1
Let z be 3/(1/1*-1). Let c(j) = j**3 + 3*j**2 - 2*j + 1. Calculate the remainder when 19 is divided by c(z).
5
Let v(m) = 3*m**3 - 1. Let o(d) = -d**2 + 4*d - 3. Let g be o(2). Let c be v(g). Suppose c*h - 61 = -17. Calculate the remainder when h is divided by 12.
10
Let n(a) = a**2 + 4. Let z = -58 + 97. What is the remainder when z is divided by n(4)?
19
Let g = -22 + 38. What is the remainder when 47 is divided by g?
15
Suppose 0 = 5*g - 3 - 7. Calculate the remainder when g is divided by 2.
0
Let n = 67 - 35. Suppose 5*d + j - n = 2*d, 4*d + 5*j = 28. Calculate the remainder when 21 is divided by d.
9
Let v = 83 + -37. Calculate the remainder when v is divided by 16.
14
Let y(m) = 5*m + 51. Calculate the remainder when 129 is divided by y(-5).
25
Suppose 0 = u - 56 + 12. Calculate the remainder when u is divided by 9.
8
Suppose w - 3*o = 5, -3*w - o - 4*o + 71 = 0. Calculate the remainder when w is divided by 6.
5
Suppose 0 = -4*t - 0*t + 20. Suppose -2*y + t*q - 26 = -84, 58 = 2*y + 2*q. Suppose -2*a = -d - 11 - 9, 4*d = 0. Calculate the remainder when y is divided by a.
9
Suppose -m + 17 = -4*p, m - 5*p = -m + 22. Let i = -35 - -38. Calculate the remainder when i is divided by m.
0
Let u(h) be the first derivative of h**2 + 5*h + 4. What is the remainder when 122/5 - (-2)/(-5) is divided by u(4)?
11
Suppose 6*r - 129 = 3*r. Let q = r + -17. Calculate the remainder when q is divided by 14.
12
Suppose 4*q = -4*t + 2*q + 16, 12 = 3*t - q. Suppose -23 = -i + t. Let y(r) = 3*r - 5. What is the remainder when i is divided by y(4)?
6
Let j = 0 + 0. Suppose j*a = 4*a - 56. Calculate the remainder when 0 + -1 - (0 + -42) is divided by a.
13
Let w(q) = -q**3 + 6*q**2 + q - 3. Let z be w(6). Suppose g = -4*h + 39, 72 = 2*g + z*h - h. What is the remainder when g is divided by 18?
17
Let n(q) = -q**3 - 5*q**2 - 5*q + 1. Calculate the remainder when n(-4) is divided by 3.
2
Let x(h) = h - 9. Let y be x(12). Suppose 0 = y*g + g + 4*u - 52, g + 5*u = 9. Calculate the remainder when 18 is divided by 4/g - (-33)/7.
3
Let f be (1/3)/((-6)/(-108)). Let q = f - 3. What is the remainder when q is divided by 2?
1
Suppose 8*q = q + 49. What is the remainder when 19 is divided by q?
5
Let y(z) = -z**3 + 2*z**2 - 2*z + 1. Let w(i) = -2*i**3 + 2*i**2 - 2*i + 1. Let n(r) = -3*w(r) + 4*y(r). What is the remainder when n(2) is divided by 8?
5
Let c = -33 + 17. Let a = c + 53. Calculate the remainder when a is divided by 13.
11
Suppose 8 = -4*b, q + 3*q - 10 = b. Suppose 4*j - 10 = 2. Suppose -j*l = -5*f - 5, 4*l - 9 = 2*f + 7. What is the remainder when l is divided by q?
1
Let a be 0 - -2 - (14 - 0). Let b = a + 40. Let r(x) = x**2 + 7*x + 10. Calculate the remainder when b is divided by r(-7).
8
Suppose 90 = 2*j + 2*x, 2*x - 33 - 12 = -j. Let z = j - 24. Calculate the remainder when z is divided by ((-11)/(-2))/(1/2).
10
Let v(t) = t**3 + 7*t**2 - t - 2. Let m(g) = g - 1. Let l(r) = 4*m(r) + v(r). Calculate the remainder when l(-5) is divided by 10.
9
Let s = 28 + -13. Suppose 3*g - s = 48. Let n(w) = -w**3 + 3*w**2 + 3*w - 3. Calculate the remainder when g is divided by n(3).
3
Suppose o + 144 = -3*v + 499, 2*v - 230 = o. Calculate the remainder when v is divided by 30.
27
Let b(r) = -2*r - 11. Let w be b(-5). What is the remainder when (w + -4)*(-28)/5 is divided by 6?
4
Let l(x) = x**2 + 4*x + 10. Suppose -6*i = -2*i + 28. Suppose 5*p - 13 = 4*a + 38, 3*p + 2*a = 35. What is the remainder when l(i) is divided by p?
9
Let y(t) = 4*t**3 + 2*t**2 - t. Let p be y(2). Suppose 3*i = i + p. Calculate the remainder when 36 is divided by i.
17
Suppose j = 3*j - 20. Let a = 94 + -66. What is the remainder when a is divided by j?
8
Let d(a) = a**2 + 7*a + 4. Let w be d(-7). Calculate the remainder when 18 is divided by (-14)/(-3) + w/(-6).
2
Calculate the remainder when 2/1*132/8 is divided by 7.
5
Let r be (-13 + 1 + -1)*-4. Suppose 4*p = -y + r, -4*p - y - 4*y = -36. Calculate the remainder when 39 is divided by p.
11
Let p = -266 + 389. What is the remainder when p is divided by 33?
24
Let l = 13 + -8. Suppose l*z + b - 2 = -3*b, -3*z + 3*b + 12 = 0. What is the remainder when 6 is divided by z?
0
Suppose 0 = 4*j + 5*o - 89, 3*j + 1 = 4*j - 3*o. Calculate the remainder when 46 is divided by j.
14
Let q = -15 + 51. Calculate the remainder when 179 is divided by q.
35
Let j(l) = -l**3 + 17*l**2 + 22. What is the remainder when j(17) is divided by 4?
2
Let b = -6 + 4. Let r = 11 + -2. What is the remainder when r is divided by 1/b*2*-5?
4
Suppose -4*c + 68 + 32 = 0. Calculate the remainder when c is divided by 9.
7
Suppose -c = -6 - 3. Suppose m + 4*t - 21 = 0, -4*t - 177 = -9*m + 4*m. Calculate the remainder when m is divided by c.
6
Let b be (-1 - 0)*-3 + 2. Suppose 3*l - 4*k - 121 = -2*l, 0 = -b*l - 4*k + 129. Calculate the remainder when 47 is divided by l.
22
Suppose 0 = -3*y + 2*c + 9, 4*c - 28 = -5*y + 3*c. What is the remainder when y is divided by 3?
2
Suppose -2*i - 5*w + 35 = 0, -3*w + 3 = -2*i - 2. Suppose 4*j = -4*r, 0*j = 3*j - 5*r - 24. Calculate the remainder when i is divided by j.
2
Let l = 125 - 83. Calculate the remainder when l is divided by 22.
20
Suppose 0 = -4*g + 3*j + 14, 4*g + 0 = -3*j + 2. Let o = -86 + 93. What is the remainder when o is divided by g?
1
Suppose 0 = -o - f + 21, -84 = -4*o - 2*f - 3*f. What is the remainder when o is divided by 6?
3
Suppose -4*i + 37 + 3 = 0. Calculate the remainder when 15 is divided by i.
5
Let h(n) = -n**2 + n - 1. Let d(q) = 3*q**2 - 5*q + 2. Let w(z) = d(z) + 2*h(z). What is the remainder when 15 is divided by w(4)?
3
Suppose 5*b + 15 + 0 = 0, 4*r + 2*b = 166. What is the remainder when r is divided by 22?
21
Let u = 0 - 0. Suppose u = c - 0 - 20. What is the remainder when 39 is divided by c?
19
Let b be (-4 - -2) + (-2 - -2). What is the remainder when 28 is divided by b/1 - (-17 - 0)?
13
Let n = 114 + -97. Calculate the remainder when 82 is divided by n.
14
Let k = -37 - -44. Calculate the remainder when 22 is divided by k.
1
Calculate the remainder when 107 is divided by (-6)/(-15)*(-19 - -4)*-6.
35
Suppose 5*p - 45 = -y, -y - p + 0*p + 29 = 0. Suppose 0 = 5*d - 29 - 36. What is the remainder when y is divided by d?
12
Let f(c) = c**3 - 10*c**2 + c - 8. Let v be f(10). Suppose 48 = v*y + 2*t, -2*y + 6*t = 3*t - 38. Calculate the remainder when y is divided by 6.
4
Suppose -170 = -5*n + 65. Suppose -3*t + n = -46. Calculate the remainder when t is divided by 16.
15
What is the remainder when (-1)/((-6)/291)*2 is divided by 25?
22
Suppose -5*v + 40 = 2*a, -v = 5*a - 136 + 13. Suppose 44 = 5*b - 1. What is the remainder when a is divided by b?
7
Let p(s) = s**2 + 4*s - 2. Suppose l = 3*b + 2, 4*l + b - 41 = 2*b. What is the remainder when p(5) is divided by l?
10
Suppose -8 = -4*b, 4*x + 12 = 3*b - 2. Let f = 9 + x. Let t(k) = 4*k**2 + 2*k. What is the remainder when t(-2) is divided by f?
5
Suppose 0 = y + 1 - 7. Let l(j) = 2*j**2 + 3 + y*j**2 - 3*j**2 - 5*j - 3*j**2. Calculate the remainder when 17 is divided by l(3).
5
Suppose -3*k - 18 = 3*j, -j + 15 = 4*j. Let l = k - -54. What is the remainder when l is divided by 24?
21
Suppose 3*m = c - 1, 5*c - 60 = 4*m - 0. What is the remainder when c is divided by 6/(-7)*(-1 - 6)?
4
Let o(b) = 4*b**2 + 5*b + 14. What is the remainder when o(-4) is divided by 15?
13
Let z = -5 + 14. Let p = 28 - z. What is the remainder when p is divided by 10?
9
Let n be 0 - 0 - -1 - 16. Let m = n - -21. Let g(c) = 2*c + 8. Calculate the remainder when g(7) is divided by m.
4
Let y = 4 + -1. Let g be -4 + y - (-9)/(-3). Let a = 20 + g. Calculate the remainder when a is divided by 9.
7
Let c = -40 + 16. Let m be -30*(c/(-9))/(-2). Let o = m + -22. Calculate the remainder when 34 is divided by o.
16
Let o(s) = -s + 1. Let g be o(-3). Suppose -2*n = 3*n - 80. What is the remainder when g/6 + 88/3 is divided by n?
14
Suppose o + 9 = 4*v, 3*v + 0*v + o - 12 = 0. What is the remainder when 152/20 - (-4)/10 is divided by v?
2
Let r = 26 + -13. Let p = r + -8. What is the remainder when 1*5*(-32)/(-20) is divided by p?
3
Let z = 11 - 8. Suppose -n + 17 = 2*n - 5*l, -5*l + 1