 + 12. What is the remainder when 69 is divided by f(-7)?
9
Suppose -3*i = 4*k - 31, -4*k - 5*i = -5*k - 21. What is the remainder when 7 is divided by k?
3
Suppose 5*s - 4*p = 245, -3*s + 3*p = 7*p - 179. Calculate the remainder when s is divided by 9.
8
Suppose 5*t - 3*t = 4. Suppose a - 27 = -t*a. Calculate the remainder when 480/a + (-2)/6 is divided by 14.
11
Let i be (1 - 0)*(-3 + 3). Suppose -x = 4, i = 3*d - 2*x - 0*x - 122. What is the remainder when d is divided by 13?
12
Let r = -8 - -19. What is the remainder when 0 - -33 - (4 - 2) is divided by r?
9
Suppose 0 = 8*t - 2*t - 54. Calculate the remainder when 21 is divided by t.
3
Suppose -8*s + 11*s - 207 = 0. Calculate the remainder when s is divided by 35.
34
Let r = 0 - -5. Let o = r + -3. What is the remainder when o + -1 + -2 + 16 is divided by 9?
6
Suppose 0 = -3*g + y + 17, 0 = 2*y - 0*y + 10. Suppose g*t - 18 = 10. Let q(h) = 3*h**3 - 3*h**2 - h + 2. Calculate the remainder when q(2) is divided by t.
5
Suppose -2*p - a + 29 = 6, -2*p = -3*a - 19. Let n = -9 - -62. What is the remainder when n is divided by p?
9
Let h be -1 - (2 + -2)/1. What is the remainder when 29 is divided by 57/3 + h + -2?
13
Let f(s) = s**3 - 10*s**2 + 10*s - 8. Let k be f(9). Let h = 15 - k. Calculate the remainder when h is divided by 4.
2
What is the remainder when 267/9 - (-5)/15 is divided by 8?
6
Suppose -13*t = -17*t + 92. Calculate the remainder when t is divided by 9.
5
Suppose -4*t - 2*k = 278, -3*t + k + 4*k = 215. Let w = t - -117. Calculate the remainder when w is divided by 16.
15
Let s(m) = -m. Let a(v) = -7*v. Let t(g) = a(g) - 6*s(g). Let h be t(-4). Suppose -i - h*i = -55. What is the remainder when 42 is divided by i?
9
Suppose -5*x + 5*j = -84 - 26, 90 = 5*x + 5*j. Let v = -14 - -21. Calculate the remainder when x is divided by v.
6
Let q(p) = -p**2 - 4*p + 7. Let a be ((-6)/12)/((-2)/(-20)). Let w be q(a). Suppose -o - w*o + 120 = 0. What is the remainder when o is divided by 14?
12
Suppose -6*c + 203 = 5*o - 3*c, 2*o + 5*c - 66 = 0. Let p = -14 + 6. Let k = p - -23. What is the remainder when o is divided by k?
13
Let y(m) = -m + 1. Let x be y(-1). Calculate the remainder when 40 is divided by (22 + 2)/2 + x.
12
Let i(m) = m**3 + 8*m**2 + 4*m + 10. What is the remainder when i(-6) is divided by 30?
28
Let g be 0 + -3 - (-1 - -2). Calculate the remainder when 111/4 + (-1)/g is divided by 15.
13
Let v = -41 + 27. Calculate the remainder when 19 is divided by 4/v - (-51)/7.
5
Suppose -m - 2*m + 2*q + 43 = 0, -q = -4*m + 49. Calculate the remainder when 32 is divided by m.
10
Suppose -5*t - 43 = -138. What is the remainder when 92 is divided by t?
16
Let u = 11 - -20. What is the remainder when 123 is divided by u?
30
Suppose -5*g - 5*d = -280, -2*g - 15 = -3*d - 132. What is the remainder when g is divided by 20?
17
Let h(g) = 2*g**2 + 5*g - 3. Let n(x) = -x**2 + 5*x + 2. Let q be n(6). What is the remainder when h(q) is divided by 6?
3
Let x(a) = 10*a**2 + a + 2. What is the remainder when x(2) is divided by 16?
12
Suppose -2*h - 2*b + 72 = 2*h, -h + b = -21. Suppose -2*k + h = -13. Suppose -3*y + k = y, -y - 61 = -5*s. Calculate the remainder when 38 is divided by s.
12
Let v(g) = -g + 4. Let b(q) = q - 1. Let k(w) = 6*b(w) + 2*v(w). Let d be k(-2). Let o = d + 15. Calculate the remainder when 16 is divided by o.
7
Suppose -y + 8 = -5*y. Calculate the remainder when y - (-26 + (-2)/2) is divided by 13.
12
Suppose 77 = 3*h - 4*x + 5*x, -5*x - 83 = -3*h. Calculate the remainder when 258 is divided by h.
24
Let t be 358/6 + 8/(-12). Suppose -5*c + 3*m = -t, 2*c - m + 7 = 3*c. What is the remainder when 29 is divided by c?
9
Suppose -15 = 5*r, -2*d - 3 = -0*r + r. What is the remainder when (12/(-8))/(2/(-56)) is divided by 23 - -1 - (d + 2)?
20
Suppose 10 = 3*z - 26. Calculate the remainder when 46 is divided by z.
10
Let i be (-1 - 9/(-15))*5. What is the remainder when 351/15 - i/(-5) is divided by 13?
10
Suppose 9*w + w - 990 = 0. What is the remainder when w is divided by 26?
21
Suppose -58*u + 60*u = 116. What is the remainder when u is divided by 16?
10
Let b = 19 + 166. What is the remainder when b is divided by 47?
44
Suppose 159 = -2*h + 5*h. Suppose -11 = 2*f - h. Calculate the remainder when f is divided by 6.
3
Let c = 20 + 4. What is the remainder when 47 is divided by c?
23
Let c be 0*(-1)/4*-2. Suppose -4*q + 93 = -q. What is the remainder when q is divided by 11 - (c/(-2) - 0)?
9
Let r be ((-3)/2)/((-1)/2). Suppose 4*h = r*a - 32, -h + 2 = -2*h. Calculate the remainder when ((-68)/(-8) - 1)/((-3)/(-6)) is divided by a.
7
Suppose -11 = -3*b + 40. Suppose -33 = -2*f + 5*h + 46, -2*h = 5*f - 154. What is the remainder when f is divided by b?
15
Let i(v) = v**2 - 9*v + 25. Calculate the remainder when 33 is divided by i(5).
3
Let a(o) = -4*o**3 + o + 1. Let u be a(-1). Suppose 4 = u*h, -3*h - 260 - 25 = -4*q. What is the remainder when q is divided by 25?
22
Let y = 253 + -116. Suppose -27 + y = 2*v. What is the remainder when v is divided by 14?
13
Let z(r) = -r**3 + 11*r**2 - 5*r - 13. Let f = 31 - 22. Let u be z(f). Let m = u - 66. Calculate the remainder when m is divided by 13.
12
Suppose -2*r - 9 = -115. Calculate the remainder when r is divided by 15.
8
Suppose -t + 2*v = -5, 2 = 5*t - 3*v - 58. Calculate the remainder when 208 is divided by t.
13
Suppose -t = -64 - 148. Suppose -5*o - t = -9*o. What is the remainder when o is divided by 11?
9
Suppose -w = 5, 5*w = -2*m + 22 + 1. Let x = 2 - -33. Let j = x - m. What is the remainder when 31 is divided by j?
9
Suppose 3*t + 3*v = 12, 3*t + 0*t - 27 = 2*v. What is the remainder when t is divided by 5?
2
Let t = 6 - -78. Calculate the remainder when t is divided by 17.
16
Suppose -2*b - 4*w = 6, 4*w + 9 = b - 0*b. Let t be -2 + 10 - 1/b. Let g = -3 + t. What is the remainder when g is divided by 2?
0
Suppose -3*g + 13 + 11 = 0. Let m = 53 + -39. Calculate the remainder when m is divided by g.
6
Suppose 5*a - 40 = -0*a - 4*i, 4*a = 5*i - 9. Let v = -3 + 6. Suppose -v*u - 63 = -a*t, -4*t = -5*t - 4*u + 11. Calculate the remainder when t is divided by 8.
7
Suppose -38 + 168 = 5*n + 5*v, -2*v - 83 = -3*n. Suppose -4*i + 272 = -256. Calculate the remainder when i is divided by n.
24
Let r(c) = 17*c**2 + 2*c. Let x be r(2). Let n = -48 + x. Calculate the remainder when n is divided by 9.
6
Suppose 2*p - 68 = 36. What is the remainder when p is divided by 11?
8
What is the remainder when 76/2 - (-1)/(-1) is divided by 12/(-18) + 82/6?
11
Suppose 3 + 10 = a. Suppose -3*v + 2*v = -3, -5*j + 3*v = -116. What is the remainder when j is divided by a?
12
Calculate the remainder when (16/6)/(6/90) is divided by 14.
12
Suppose -3*x + 5*l + 27 = 0, 0 = -5*x - 5*l - 1 + 6. Suppose -x*m + 18 = -m. Calculate the remainder when 16 is divided by m.
4
Suppose 5*g - 3*a = 321, -a + 0*a = -3*g + 191. What is the remainder when g is divided by 32?
31
Let g = 16 + 12. Calculate the remainder when g is divided by 10.
8
Suppose 4*y = -12, -5*y - 47 = -f - 3*y. Calculate the remainder when f is divided by 14.
13
Suppose 4*k - 126 + 30 = 0. Calculate the remainder when k is divided by 9.
6
Let w = 104 + -75. What is the remainder when 81 is divided by w?
23
Suppose 2*m - 3 = -k + m, 5*m = 5. Let s = 3 + k. What is the remainder when 19 is divided by s?
4
Let f(k) = -k**3 + 6*k**2 + 8*k + 3. Let q = 2 - -5. What is the remainder when 37 is divided by f(q)?
7
Let k be (62/(-8))/((-4)/16). Suppose 0 = 3*r - 4*r + k. What is the remainder when r is divided by (3 + 0)/((-9)/(-48))?
15
Suppose 0*o + 2*o + h - 4 = 0, 0 = -5*o - 2*h + 11. Let w = 2 + 9. What is the remainder when w is divided by o?
2
Suppose 0 = -2*p + p + 7. Suppose 543*y = 548*y - 130. What is the remainder when y is divided by p?
5
Let g be (1 + 0 - 3) + 8. Let u be g*(-2 + 3/9). Calculate the remainder when ((-108)/u)/(1/5) is divided by 14.
12
Suppose -5*l - 34 = -2*g - 0*l, 4*l - 16 = 0. Calculate the remainder when 105 is divided by g.
24
Let x(j) = -j**3 - j**2 - 6*j - 4. Let l be x(-4). Suppose 3*n - 42 = -3*a, n = -5*a - 3*n + l. Calculate the remainder when a is divided by 7.
5
Calculate the remainder when (1 - 1) + 0 + 2 is divided by 1.
0
Suppose -7*v = -5*v + 6. What is t