t is the remainder when k is divided by g?
3
Suppose 0 = -2*g + 1 + 3. Suppose g*d = -3*d + 325. Suppose -2*u = -d - 39. What is the remainder when u is divided by 18?
16
Let s = -135 + 90. Let m = -26 - s. What is the remainder when m is divided by 7?
5
Let h(j) = 23*j**2 - j. Suppose 0 = -2*y + 4*y - 12. What is the remainder when h(1) is divided by y?
4
Let o be (16/12)/((-4)/(-6)). What is the remainder when (-148)/4*o/(-2) is divided by 13?
11
Suppose -2*x = -2*z - 4, -3*x - 2 = -4*x - 4*z. Suppose x*t + 8 = 6*t. What is the remainder when 3 is divided by t?
1
Suppose 0 = -2*m + 2*c, -9*m + 4 = -5*m - 2*c. Let j = -23 - -28. Suppose -j*h = -m*s + 22 + 43, -4*h - 12 = 0. Calculate the remainder when s is divided by 13.
12
Let c(o) = -3*o - 8. Suppose -2*b = 5*u - 123, -3*u + 7*b = 3*b - 79. Calculate the remainder when u is divided by c(-7).
12
Calculate the remainder when 28 is divided by 6/21 + 550/35.
12
Let n be 6/2 - (-54)/2. Let d = n - 0. What is the remainder when d is divided by -1 + (-3)/((-9)/51)?
14
Suppose 0 = 2*j - 2*h - 8, -j - 2*h = -7*h - 12. Let f(s) = 4*s + 4 + s + s**j - 4*s. Calculate the remainder when f(-3) is divided by 4.
2
Suppose -2*s + 34 + 40 = 0. What is the remainder when 71 is divided by s?
34
Let g(c) = 8*c - 9. Suppose 27 = 4*m - o, -3*m - 2*o + 0*o + 34 = 0. Calculate the remainder when g(m) is divided by (6/3 + -3)*(-10 + -4).
13
Suppose -3*b + 8*b = 75. Suppose -4*j = -1 - b. Calculate the remainder when j is divided by 4.
0
Suppose 3*z - 153 = -42. Calculate the remainder when z is divided by 58/3 - (-10)/(-30).
18
Let s = -6 + 8. Suppose s*b = 4*m - 44, 3*m - b + 17 = 51. Calculate the remainder when 34 is divided by m.
10
Let w(m) = -6*m. Let y be w(-2). What is the remainder when 24 is divided by 1*(y + (1 - 4))?
6
Let a be (-5)/10 - 2/(-4). Suppose -3*x + a*x = -36. Calculate the remainder when 22 is divided by x.
10
Suppose -q = 4*q - 265. Let g(m) = -m**3 + 6*m**2 - 6*m - 8. Let d be g(6). Let r = d + 62. Calculate the remainder when q is divided by r.
17
Let m = 9 - 4. Let l = -365 + 367. What is the remainder when m is divided by l?
1
Let t = -42 + 63. What is the remainder when t is divided by 4?
1
Let z be (-76)/18 - 2/(-9). Suppose 0*y + 45 = 3*y. Let d = z + y. What is the remainder when 32 is divided by d?
10
Suppose -7*p + 805 = 35. Calculate the remainder when p is divided by 14.
12
Let l(f) = -7*f - 15. Let n(v) = -4*v - 7. Let d(r) = 2*l(r) - 5*n(r). Calculate the remainder when d(6) is divided by 22.
19
Suppose -2*s - 1 = -3*s. Suppose -2*z = -s - 9. Calculate the remainder when 14 is divided by z.
4
Let s = -6 - -1. Let i = s + 10. What is the remainder when 9 is divided by i?
4
Let f(x) be the first derivative of -x**4/4 - x**3/3 + x**2 - 3*x - 4. Calculate the remainder when f(-3) is divided by 2.
1
Let b = 1 + 1. Suppose 0 = 5*q - 2 - 13. Suppose 4*x - 72 = -5*m, -b*m + q*m + x = 15. What is the remainder when 22 is divided by m?
10
Let f be 3/(-6)*3*-2. Suppose 5 = 2*v + f. Calculate the remainder when (-12)/(-9)*6/4 is divided by v.
0
Suppose 4*x - 58 = -10. Calculate the remainder when 47 is divided by x.
11
Let g(r) = 234*r**3 + 2*r**2 - 2*r + 1. Let q be g(1). Suppose -295 + 104 = -4*v - 3*t, -3*t + q = 5*v. What is the remainder when v is divided by 23?
21
Let b be (18/(-15))/(2/(-10)). Let a = 2 + 7. Suppose b*q = 2*h + q - 18, a = h - 2*q. What is the remainder when 25 is divided by h?
7
Suppose -15*d + 294 = -51. What is the remainder when 110 is divided by d?
18
Let f = -10 + 16. What is the remainder when 35 is divided by f?
5
Suppose -3*o + 24 = -7*o. Let a(z) = -z**2 - 6*z + 2. What is the remainder when 3 + (0 + -2 - -1) is divided by a(o)?
0
Let h(t) = t**2 - 11*t + 12. Let m be h(10). Suppose m*d = -9 + 39. Calculate the remainder when d is divided by 6.
3
Let w(r) = 1 + 0*r - r + 6*r**3 - r**2 - 5*r**3. What is the remainder when w(2) is divided by 3?
0
Let f be -5 + 2*2/(-4). Let l = 7 - f. Suppose x + 4*x - 185 = 0. What is the remainder when x is divided by l?
11
Suppose 0 = 5*i - 4*i - 23. Suppose 21 = -4*l - o + 280, -269 = -4*l + o. What is the remainder when l is divided by i?
20
Let x(z) = -5*z + 21. Let t be (-24*(-2)/(-3))/1. Calculate the remainder when x(t) is divided by 26.
23
Suppose 96 + 144 = 5*d. What is the remainder when d is divided by 1/(0 + (-1)/(-17))?
14
Suppose -u - u = -66. Suppose -3*r = -u - 18. Suppose -l = -3*l + 18. Calculate the remainder when r is divided by l.
8
Let u = -87 + 90. Let j = 4 + 2. Suppose 3 + j = u*g. What is the remainder when 5 is divided by g?
2
Let x = 6 - -6. Suppose 4*d + 2*j - 34 = -d, 2*j - 2 = -d. What is the remainder when x is divided by d?
4
Suppose -4*m + 9 = -3. Suppose -4*c = 4*p - 40, -m*c - 2 - 4 = 0. Calculate the remainder when 23 is divided by p.
11
Let d(t) = 15*t - 3. Let u be d(2). Suppose 4*y = -0*q - q + 31, -4*y = 5*q - u. What is the remainder when 23 is divided by y?
7
Let i(b) = 2*b**2 - 11*b - 13. What is the remainder when i(11) is divided by 22?
20
What is the remainder when 209 is divided by (-7)/(2 + 44/(-20))?
34
Let d = -1 - -5. Suppose 5 = 5*b + a, 4*b = 6*a - a + d. Calculate the remainder when 1 is divided by b.
0
Suppose -q + 2*j + 89 = -j, -q = 3*j - 77. Calculate the remainder when q is divided by 14.
13
Let x(f) = -2*f - 6. Let d be -1 + -2*2/(-4). Let i be 1/(d - 1/7). What is the remainder when x(i) is divided by 3?
2
Suppose 6*v + 2*k = 3*v + 28, -2*v = 3*k - 27. Calculate the remainder when 9 is divided by v.
3
What is the remainder when (2 - (-6)/(-2))/((-18)/648) is divided by 11?
3
Let f(d) = -6*d**2 + d + 4. Let k(h) = h**3 + 12*h**2 - 2*h - 9. Let a(x) = 5*f(x) + 2*k(x). Calculate the remainder when a(4) is divided by 20.
18
Let s(m) = 2*m**2 - 27*m + 2 + 3*m**2 + 21*m - 2*m**2. Let w be 28/6 + 4/(-6). What is the remainder when s(w) is divided by 9?
8
Let k = -8 - -6. Let r be k/(-1 - (-1)/2). Suppose -r*u + 114 = 38. Calculate the remainder when 36 is divided by u.
17
Suppose -216 = -5*o - y - 36, 5*o = -5*y + 200. Calculate the remainder when o is divided by 3.
2
Suppose k - 51 = -2*k. What is the remainder when k is divided by 9?
8
Let z(j) = 10*j**2 + 4*j - 2. What is the remainder when 59 is divided by z(-2)?
29
Let r(g) = g**3 + 6*g**2 - 9*g - 8. Suppose 0*h - 4*h + 64 = 0. Calculate the remainder when r(-6) is divided by (h - (-3 + 1)) + -2.
14
Suppose -2*c = -3*c + 7. What is the remainder when c is divided by (-26)/(-6) + (-10)/(-15)?
2
Let q = 65 + -33. Calculate the remainder when q is divided by 11.
10
Let k be (6/(-4))/((-6)/(-32)). Let g = 3 - k. Calculate the remainder when 30 is divided by g.
8
Let o be 18 + (1/(-1) - 2). What is the remainder when 15 is divided by ((-80)/o)/(4/(-6))?
7
Let w = 5 - 3. Suppose 2*o + 42 = 4*l, w*o = -l + 4*o + 18. Suppose 2*z + 25 = 2*r - 9, 0 = 4*r + z - 93. Calculate the remainder when r is divided by l.
6
Let m(s) = 20*s**2 - 2*s - 1. What is the remainder when m(2) is divided by 13?
10
Let u(w) = -w**3 + 25*w**2 + 28*w + 1. What is the remainder when u(26) is divided by 28?
25
Let o be ((-8)/10)/(1/5). Calculate the remainder when 2*5*(-14)/o is divided by 12 - (8 + -8)*(-1)/(-2).
11
Suppose 0 = -j - 2*y + 11, -5*j = -3*j - y - 27. Calculate the remainder when 50 is divided by j.
11
Suppose -2*r + 5*f = -33, 12 = 2*r + 4*f - 2*f. Let x(i) = -26*i**3 - 2*i**2 - 2*i - 1. Calculate the remainder when x(-1) is divided by r.
7
Suppose 0*j + 4*j = 2*r + 50, 25 = 5*r. What is the remainder when 36 is divided by j?
6
Let j(s) = 4*s + 1 - s**2 + 1 - s + 0*s. Calculate the remainder when j(3) is divided by (-32)/(-14) - 4/14.
0
Let t be 0 + (2 - 4) + 27. Suppose -t - 43 = -4*r. Suppose -10 = 5*l - 55. What is the remainder when r is divided by l?
8
Let l = 2 - 6. Let y(z) = z**2 + 6*z + 9. Calculate the remainder when 2 is divided by y(l).
0
Suppose r = -3*r + 8. Let j = -34 + 36. Suppose r*p - 188 = -j*p - 4*n, 0 = -3*n. Calculate the remainder when p is divided by 16.
15
Let w = 143 - 68. What is the remainder when w is divided by 26?
23
Suppose -8*a + 67 = -7*a. What is the remainder when a is divided by 18?
13
Let r = 94 - 43. What is the remainder when r is divided by 18?
15
Let o(c) = c**3 - 7*c**2 + 3*c + 9. Cal