 Calculate the remainder when m*(-27 - (1 + 1)) is divided by 20.
18
Let y(h) = h - 4. Calculate the remainder when 16 is divided by y(13).
7
Let q be 14/35 + (-104)/10. Let y = q + 21. Calculate the remainder when 31 is divided by y.
9
Suppose r + 23 = 5*a, 0 = -3*a - 0*r - r + 9. What is the remainder when 9 is divided by a?
1
Let x = 60 - 16. Suppose -h - 5*l + 32 = 0, 3*h + 0*l = 4*l + 20. Suppose 0 = 4*p - 48 - h. Calculate the remainder when x is divided by p.
14
Suppose 2*o - o = 7. Let w = o + -9. Let q = w - -7. What is the remainder when 8 is divided by q?
3
Let y = 65 - 42. Calculate the remainder when y is divided by (-25 - 1)*2/(-4).
10
Let w(y) = y**2 - 12*y - 15. Let z be w(13). Let v = 11 + z. What is the remainder when 34 is divided by v?
7
Suppose 81 = -2*q + 6*q - 5*p, -3*p = -2*q + 41. Let d(a) = -a**2 + 7*a + 7. What is the remainder when q is divided by d(7)?
5
Let f = -62 - -74. What is the remainder when 78 is divided by f?
6
Let z(j) = -j**3 + 6*j**2 + 4*j + 3. Let h be z(6). What is the remainder when 54 is divided by (1 + h)*1/2?
12
Let p = -58 + 99. Calculate the remainder when p is divided by 22.
19
Suppose -p - 3*p = -m - 205, 3*p = 5*m + 141. Calculate the remainder when p is divided by 9.
7
Let o = -5 - -3. Let b(p) = p**2 + 41*p - 121. What is the remainder when ((-14)/(-2))/(o/(-12)) is divided by b(-44)?
9
Suppose -v = -2*q + 73, 2*q = -2*v + 20 + 44. Let c(a) = -a**3 + 8*a**2 - 9*a + 1. Calculate the remainder when q is divided by c(6).
16
Suppose 3*o = 2*o + 3. Suppose 3*d - 45 + 0 = 0. What is the remainder when 43 + 0/(o - 6) is divided by d?
13
Calculate the remainder when (1 - 3)*-1 - -4 is divided by 4.
2
Suppose 5*a - 2*z - 7 = 0, 0*a + 2*a + 6 = 3*z. What is the remainder when 8 is divided by a?
2
Suppose -4*r + 197 + 88 = -3*o, 270 = 4*r + 2*o. What is the remainder when r is divided by 18?
15
Suppose 4*r - n - 175 = 0, 2*n - 90 = -6*r + 4*r. What is the remainder when r is divided by 9?
8
Let f(q) = -q + 8 - 4 + 4. Let d be f(5). Suppose 0 = w - 2, 2*a - 2 = -d*w + 48. Calculate the remainder when a is divided by 8.
6
Let y(j) = j**3 - j**2 + 7*j - 4. Calculate the remainder when y(3) is divided by -6*(-5 + (0 - -3)).
11
Calculate the remainder when 2 is divided by ((-15)/(-2))/3*(-20)/(-50).
0
Suppose -4*v + o = -79, -3*o + o = -2. Calculate the remainder when 56 is divided by v.
16
Let b = -139 + 261. Suppose i - 2*i = -31. Calculate the remainder when b is divided by i.
29
Let q be 3 - (4/4 - 3). Suppose 5*r + 4*k - 2 = 219, -q*k = -4*r + 185. Calculate the remainder when r is divided by 24.
21
Suppose 0 = 3*w, -4*y - 2*w + 21 = 1. Suppose -p = -4*i + 208, y*i = 3*p - 6*p + 277. Calculate the remainder when i is divided by 14.
11
Suppose -4*y = -2*l - 12, 2*y - l = -2*l - 2. What is the remainder when (-3 - (-3 + -1)) + 1 is divided by y?
0
Let d(l) = -l**2 - 10*l - 8. Let q be d(-8). Suppose 2*w + 6*m - 2*m - 70 = 0, 0 = -4*m + q. What is the remainder when w is divided by 16?
15
Let b = 4 + -2. Suppose -b*d - 22 = -u, -4*d + 25 = -9*d. Suppose -30 = -3*z + u. Calculate the remainder when 26 is divided by z.
12
Let i = 18 + -10. Let p = 3 + -1. Suppose 3*w = p*w + 3. Calculate the remainder when i is divided by w.
2
Calculate the remainder when 184 is divided by -3 - (-5)/(-2)*-16.
36
Let o = 101 + -10. Calculate the remainder when o is divided by 23.
22
Let p = 76 + -169. Let n = 142 + p. Suppose -4*j + 249 = n. Calculate the remainder when j is divided by 17.
16
Let w(h) = h**3 + 14*h**2 + 12*h + 18. Let x be w(-13). Suppose m - x - 6 = 0. Suppose 50 = 5*k - 15. What is the remainder when m is divided by k?
11
Suppose -4*n + 9*p + 140 = 4*p, -p = 2*n - 84. Let u be (-8)/(-12)*(-6)/(-1). Suppose u*d = -0*d + n. Calculate the remainder when 29 is divided by d.
9
What is the remainder when 27 is divided by 1/1 + 3 - -11?
12
Let n = -23 + 42. Calculate the remainder when n is divided by 7.
5
Suppose -3*v = -5*t - 0*v + 21, 3*t = -4*v + 1. Suppose -t = -r + 2. What is the remainder when 9 is divided by r?
4
Let v(f) = -f**2 + 10*f + 18. Let r = 0 + -8. Let k(g) = g**2 + 7*g + 10. Calculate the remainder when v(8) is divided by k(r).
16
Suppose v - 2*p - 74 = 0, -2*v + 172 - 15 = 5*p. Calculate the remainder when v is divided by 20.
16
Let b = 61 + -46. What is the remainder when 73 is divided by b?
13
Let r = 3 + -3. Let o(y) = 2*y**2 + 9*y + 6. Calculate the remainder when o(-8) is divided by r + (-3 + 23 - -1).
20
Let r be 0/(3/1) + -27. Let w = -14 - r. What is the remainder when w is divided by 5?
3
Suppose -253 = -3*l - 2*z, 0 = -l - l + 4*z + 190. Suppose 5*o - l = 83. Calculate the remainder when o is divided by 9.
7
Suppose -4*b + 2*i + 56 = 0, 5*b + 15 = 2*i + 84. What is the remainder when 21 is divided by b?
8
Suppose -28*n = -26*n - 126. Let m(q) = q**2 + 2*q + 1. Calculate the remainder when n is divided by m(3).
15
Suppose 5*z + 3*g - 18 = -0*g, -4*z + 3*g = -9. Suppose 5*x = s - 11, 4*s = -z*x + 46 - 2. What is the remainder when s is divided by ((-6)/(-9))/((-2)/(-12))?
3
Let m(g) = g**3 - 4*g**2 - 5*g - 7. Let n be m(5). Let z = 11 + n. Suppose -28 = -z*y + 8. Calculate the remainder when y is divided by 5.
4
Let z = -187 - -303. Suppose j + 5*v + z = 3*j, -v - 268 = -4*j. Calculate the remainder when j is divided by 23.
22
Suppose 0 = -26*l + 29*l + 48. Let h = l - -29. Let k(s) = -24*s + 1. Calculate the remainder when k(-1) is divided by h.
12
Let z(a) = -a - 11. Let b be z(-9). Suppose 2*n - 2*s = 10, -n + 14 = 2*s - 6*s. Calculate the remainder when (1/(-2))/(b/20) is divided by n.
1
Suppose -15 = -5*t + 10. Suppose -5*g = 2 + 13, -14 = o + t*g. What is the remainder when 3 is divided by o?
0
Suppose -p + 8 - 1 = 0. Suppose n - 3*n = 3*c - 61, -n + 2 = 0. Suppose -c = -3*l + 17. Calculate the remainder when l is divided by p.
5
Suppose -6*w = -74 + 8. Let x = 0 + 4. Suppose 0*h = x*h - 84. What is the remainder when h is divided by w?
10
Let w = 5 - 4. Let f = w - -2. Suppose -f*q - q = -136. Calculate the remainder when q is divided by 12.
10
Let k be 3/(-2)*(-8)/3. Suppose 0 = -2*p - 2 + k, -4*m + 3*p + 113 = 0. Let x(w) = w**3 - 4*w**2 + 3*w + 3. What is the remainder when m is divided by x(4)?
14
Let p = 236 + -146. What is the remainder when p is divided by 23?
21
Suppose -16*s + 13*s + 15 = 0. Calculate the remainder when 13 is divided by s.
3
Let g(w) = w**2 - 8*w + 5. Calculate the remainder when 69 is divided by g(9).
13
Let s(j) = 2*j**3 - 4*j**2 - 5*j + 2. Suppose -14 = -6*b + 4*b. Suppose 128 - 16 = b*c. Calculate the remainder when s(4) is divided by c.
14
Calculate the remainder when 106 is divided by 329/(-56)*-2 + (-2)/(-8).
10
Let r(k) = 5*k**2 + k - 9. What is the remainder when r(-4) is divided by 17?
16
Suppose 3*l + 12 = -0*l. Let y(v) be the third derivative of v**5/60 - v**4/24 - v**3/3 - v**2. Calculate the remainder when y(l) is divided by 10.
8
Suppose -42 = -3*n + 162. Suppose 3*d - n = 2*k, 3*d - k - 63 = 1. Calculate the remainder when d is divided by 7.
6
Suppose 0 = 5*j + q - 163, 5*j + 98 - 253 = -5*q. What is the remainder when j is divided by 18?
15
Let n(u) = -15*u**3 + u**2 + u. Calculate the remainder when 58 is divided by n(-1).
13
Let n(q) = -q + 4. Suppose 2*r - 80 = -2*r. Calculate the remainder when r is divided by n(-3).
6
Let x(l) = -6*l + 48. Calculate the remainder when x(-21) is divided by 44.
42
Let u(q) = -q + 29. Calculate the remainder when (-5*3)/(5/(-15)) is divided by u(13).
13
Let a(g) = g**3 + 12*g**2 - 16*g + 9. Calculate the remainder when a(-13) is divided by 10.
8
Let b(k) = k**3 + 5*k**2 - 8*k - 6. Suppose -3*z = 15, -5 = -w - 2*z + 7. What is the remainder when w is divided by b(-6)?
4
Let n(o) = -15*o**3 + o**2 - 1. Calculate the remainder when 148 is divided by n(-1).
13
Let j be (-40)/(-25) - 2/(-5). Suppose 0 = 3*a - 5 + 2. What is the remainder when 25 is divided by (j - a)/((-2)/(-26))?
12
Let o be (-1)/((-2)/(4 - -2)). Suppose p = 67 - o. Suppose -5*m + 47 = -63. What is the remainder when p is divided by m?
20
Let u(a) = a**3 - 10*a**2 + 2*a + 6. Calculate the remainder when 47 is divided by u(10).
21
Let a(n) = n**3 - 12*n**2 + 2*n - 6. What is the remainder when 70 is divided by a(12)?
16
Let i = 6 +