alculate the remainder when r is divided by 11.
10
Let t = -5 + 7. Suppose 3 = 3*a - t*a. What is the remainder when a is divided by 2?
1
Let b(k) = -k**3 + k**2 + 5*k + 3. Let w be b(-3). Suppose 0 = -a + f + f + 28, 2*f - w = -a. What is the remainder when a is divided by 2/(-3) - 29/(-3)?
8
Suppose 2*k = 3*u - 70, -u - 5 = -2*u - 3*k. Calculate the remainder when 78 is divided by u.
18
Suppose 2*o = -2*o + 28. Suppose y = -4*t + 4*y - 71, -2*y = -10. Let m = 32 + t. Calculate the remainder when m is divided by o.
4
Suppose -2*u - 8 = 2*u, -3*z - 14 = 4*u. Let n be z/(-4)*6 - -2. Let x(f) = f**3 - 6*f**2 + 8*f - 5. What is the remainder when x(n) is divided by 6?
4
Suppose -8 - 2 = 5*x, -3*t - 4*x = -7. Suppose -w - 5 = 0, -2*i + t*w - 10 + 43 = 0. Calculate the remainder when i is divided by 2.
0
Let d(i) = -2*i + 4*i - 10 + 4 + i + i**2. What is the remainder when 6 is divided by d(-5)?
2
Suppose -d + 2*d = 0. Suppose y - 5*y + 84 = d. What is the remainder when 81 is divided by y?
18
Let b(a) = a**2 - 20*a - 8. Calculate the remainder when 51 is divided by b(21).
12
Let r be -9*((-2)/3)/1. Let o be ((-15)/4)/((-6)/24). Let y = o - r. Calculate the remainder when 16 is divided by y.
7
Suppose 0 = q - 4. Suppose -24 = -q*b + b. Calculate the remainder when b is divided by 3/(-2)*(-9 - -7).
2
Suppose -3*i + 0*i - 88 = -2*t, 129 = -4*i + 5*t. Let k = i + 44. Calculate the remainder when k is divided by 5.
3
Let y = -72 + 136. What is the remainder when 187 is divided by y?
59
Let p be (187 - 1)*2/(-4). Suppose 3*b + 3*y - 96 = 0, 0*y = -3*b - y + 90. What is the remainder when b is divided by 3/(-9) + p/(-9)?
9
Suppose 0 = -3*q + 2*c + 43, c = 4 - 0. What is the remainder when q is divided by 9?
8
Suppose 7*q - 3*q = 0. Suppose q = 5*o + 2*j - 26, 2*o + 5*j = 2. Suppose -f - t - 3*t = -20, -3*f + t + 47 = 0. What is the remainder when f is divided by o?
4
Let t = -15 + 25. Let k be (-1 - -4)/(3/14). Suppose 4*n + w = 3*w + 80, n + w = k. Calculate the remainder when n is divided by t.
8
Suppose m = -3*h + 35, 2*m = 3*h + 11 + 32. What is the remainder when m is divided by 7?
5
Let q = -3 - -3. Suppose 4*b - 1 - 3 = q. Let c = 12 + b. What is the remainder when c is divided by 7?
6
Suppose -5*p + 2*p - 60 = -5*j, 2*p = -4*j + 70. Suppose -2*m + 201 = 2*m + 5*b, 0 = 2*m - 5*b - 63. Calculate the remainder when m is divided by j.
14
Suppose 2*m - 14 = -d, -2*d + 7*d = 2*m - 2. Let u be (m/(-4))/(2/(-4)). Let g = 25 + u. Calculate the remainder when g is divided by 10.
8
Let y(n) = n**2 - n - 1. Let c(x) = -x**3 - x**2 - 8*x - 8. Let d(s) = c(s) - 3*y(s). What is the remainder when 44 is divided by d(-4)?
14
Let w be (8/(-10))/((-3)/15). Let n(v) = -8*v - 5. Let b be n(-4). Suppose w*h = -0*p - p + 39, 3*h = -3*p + b. Calculate the remainder when 18 is divided by h.
8
Let x be (-14)/(-4) + (-3)/(-6). Suppose 9 = -x*u + 61. Suppose -5*m + 83 = u. Calculate the remainder when 40 is divided by m.
12
Let a be 15/(-25) - (-2)/(-5). Let l(h) = 32*h**2 - h - 1. Calculate the remainder when l(a) is divided by 9.
5
Let t = 48 + -24. Calculate the remainder when 47 is divided by t.
23
Let c = 2 - -17. Let v(h) = -h**3 + 5*h**2 + 6*h + 7. Let j be v(5). Suppose f - 10 = 2*k + 28, f = k + j. What is the remainder when f is divided by c?
17
Suppose 7 = 5*l + 4*q, -2*l + 3 + 5 = -q. What is the remainder when 10 is divided by l?
1
Let c(b) = -3*b. Calculate the remainder when 26 is divided by c(-3).
8
Let d = -166 + 204. Calculate the remainder when d is divided by 7.
3
Suppose -o - v + 16 = 0, -32 = -9*o + 6*o + v. Suppose -4*t - 252 = -4*k, 2*t + 185 = 3*k - 0*k. Calculate the remainder when k is divided by o.
11
Let h = -7 + 31. Calculate the remainder when 46 is divided by h.
22
Let f = 59 + -21. What is the remainder when f is divided by 10?
8
Let k(x) = -3*x - 2*x - 2 + 3*x - 3*x. Let c be k(-2). Suppose 0 = -z + c. What is the remainder when 29 is divided by z?
5
Let a(q) = -20*q + 5. What is the remainder when a(-4) is divided by 22?
19
Suppose 4*r - 8 = 0, 2*n + 3*r + 0*r - 28 = 0. What is the remainder when 20 is divided by n?
9
Let c = -4 - 4. Let g be (-1468)/16 + 2/c. Let f = -28 - g. Calculate the remainder when f is divided by 22.
20
Let u(p) be the second derivative of 5*p**3/6 - p**2 + 2*p. What is the remainder when u(3) is divided by 7?
6
Let k(f) = 3*f - 6. Let d = -133 - -69. Let h = 98 + d. What is the remainder when h is divided by k(6)?
10
Let c = -22 + 39. Calculate the remainder when c is divided by 5.
2
Suppose 0 = 2*o - 21 + 7. Suppose -2*l + o = -3. What is the remainder when 0 - (52/(-2))/2 is divided by l?
3
Suppose -q = r - 0*q - 2, -5 = -3*r - 2*q. Calculate the remainder when (-2)/9 + 472/18 is divided by (9/27)/(r/27).
8
Let x(v) = 3*v**3 + v - 1. Suppose i = 2*i - 1. What is the remainder when x(i) is divided by 2?
1
Suppose 0 = 3*t + 5*l - 131, -62 = 5*t - 2*l - 332. Suppose -4*f + 4 = -t. What is the remainder when 55 is divided by f?
13
Suppose 0 = -5*r + 52 + 33. Calculate the remainder when r is divided by (3 - (-15)/(-6))*18.
8
Let a(q) = 2*q**3 + 11*q**2 - 17. What is the remainder when a(-5) is divided by 7?
1
Suppose 0 = m + 29 - 43. Let k(p) = p**3 + 2*p**2 - 2*p. Calculate the remainder when k(3) is divided by m.
11
What is the remainder when (-196)/(-6) + (-12)/(-9) is divided by 18?
16
Let m(x) = -x**3 - 6*x**2 + 8*x + 9. Let u be m(-7). What is the remainder when ((-15)/6 + u)*-36 is divided by 5?
3
Suppose -179 = -5*i + 276. Calculate the remainder when i is divided by 31.
29
Calculate the remainder when (-40 + -5)/(-3) - 2 is divided by 7.
6
Let o(a) = a + 20. Let d be o(0). Let j = d + -1. Suppose -137 - 11 = -4*b. Calculate the remainder when b is divided by j.
18
Let b(v) = v**2 - 7*v - 4. Let t be b(9). Suppose -d = 3*m + 5 - t, 3*m = 3*d - 39. What is the remainder when 22 is divided by d?
10
Let m(p) = 2*p**2 + 4*p - 9. Let g be m(-5). Suppose 5*n = g + 19. What is the remainder when n is divided by 5?
3
Calculate the remainder when -3 + 5 - 26*-2 is divided by 11.
10
What is the remainder when 62 is divided by ((-9)/3 - -1) + 15?
10
Let c = 10 - 8. What is the remainder when 26 is divided by 2 - -8*(c - 1)?
6
Let w(q) = 24*q - 230. Let g = -7 + 4. Let h(k) = -k**3 - 2*k**2 - 4*k - 3. What is the remainder when w(11) is divided by h(g)?
16
Suppose 10 = 4*i - 2*i. Let j(m) be the second derivative of m**3/6 + m. Calculate the remainder when i is divided by j(2).
1
Suppose -m = m. Suppose z = -4*p + 19, m = -3*z - 0*z + p + 70. Calculate the remainder when z is divided by 8.
7
Let n = 11 - 15. Let o be (-2)/n*2 + 0. What is the remainder when 45 is divided by ((-1)/(-2))/(o/24)?
9
Let v = 9 - 5. Let a(d) = -8*d - 6. Let o(r) = -r - 1. Let z(k) = -a(k) + 5*o(k). What is the remainder when z(v) is divided by 7?
6
Calculate the remainder when 3 + 0 + -3 - -13 is divided by 8.
5
Let p be (12/(-9))/((-1)/6). Let s = 19 - p. Calculate the remainder when s is divided by 6.
5
Suppose -31 = 5*t + 3*n, 18 = -4*t - 0*n + n. Calculate the remainder when 17/((t + 2)/(-3)) is divided by 9.
8
Suppose -2*b + 8 = -40. What is the remainder when (-3)/6*(3 - 93) is divided by b?
21
Let h(c) = c**2 - 6*c - 3. Let j be h(7). Let q = 34 - j. What is the remainder when q is divided by 8?
6
Calculate the remainder when 13 is divided by (-216)/(-28) + (-4)/(-14).
5
Let s(d) = -2*d**2 + 2*d + 2. Let f(c) = -c**2 + c. Let t(b) = -5*f(b) + s(b). Let r be t(3). What is the remainder when 16 is divided by (-6)/9 + r/3?
4
Suppose 2*z - 26 - 8 = -3*j, -j = 5*z - 7. Calculate the remainder when 116 is divided by j.
8
Suppose -4*p - 4*x + 40 = 0, 0 = 3*p - 5*p + 2*x. Suppose 3*q + 91 = -0*a + 4*a, -2*q - 10 = 0. What is the remainder when a is divided by p?
4
Let l = -15 + 21. Let m = 63 - 105. Let x = m + 59. Calculate the remainder when x is divided by l.
5
Let u = -4 - 10. Let d = 19 + u. What is the remainder when 17 is divided by d?
2
Let w = 6 + -8. What is the remainder when 41 is divided by (15 - (w - 0)) + -3?
13
What is the remainder when 69 is divided by (18 - 15)*(-1 + 0 - -8)?
6
Let v = -727 + 731. Suppose -s + 8 = 3*s, -2*c + 5*s = 6. What is the remainder when (c + (-14)/6)*-33 is divided by v?
3
Let a = -3 + 7. Suppos