6 - 411. Calculate the remainder when 69 is divided by k.
19
Suppose -k + 5 = -0. Suppose -2*a = 5*t - 6*a - 59, k*t = -2*a + 83. Suppose -g - 4*g + 214 = -i, 3*i = -g + 30. Calculate the remainder when g is divided by t.
12
Let h be (12/(-9) - 1)*-3. Suppose 0 = -4*d + 21 + h. Let a(y) = y**2 - 2*y - 2. What is the remainder when a(d) is divided by 17?
16
Suppose 2982 = -34*x + 41*x. Calculate the remainder when x is divided by 204.
18
Let a(q) = -q**3 - 13*q**2 + 21*q - 13. Let b be (-59)/4 + (-3)/12. Calculate the remainder when a(b) is divided by 25.
22
Suppose 0 = -0*l + 4*l + 4, 5*l - 17 = -2*w. Suppose w = -7*t - 3. Calculate the remainder when 4 is divided by t*3/6 + 3.
0
Let u(y) = y**2 - 11*y - 384. Let o(c) = -c**3 + 2*c**2 + 4*c + 2. Calculate the remainder when u(-18) is divided by o(-3).
33
Suppose 0 = -v - 2*p + 15, -3*v - p + 20 = -0*p. Suppose x + 5*g - 5 = 4*x, v*g - 5 = 2*x. What is the remainder when (x + 2)*94/4 is divided by 16?
15
Let p(o) = 4 - o**2 - 16*o + 6*o + 2. Let z be p(-9). Let d = z + -2. What is the remainder when 36 is divided by d?
10
Suppose 5*l - 249 - 691 = 5*j, 0 = -5*j - 15. Calculate the remainder when l is divided by 40.
25
Let j = 9 - 1. What is the remainder when (-409)/(-6) - j/48 is divided by 23?
22
Suppose 10 = 7*d - 2*d. Suppose -62 = -5*w + d*a + a, 63 = 5*w - 2*a. Suppose -w*k - 147 = -16*k. Calculate the remainder when k is divided by 13.
10
Let d be (-800)/(-45) - (-8)/36. Let w = d - -110. What is the remainder when w is divided by 26?
24
Suppose 0 = -4*o + 5*o + 1. Calculate the remainder when 22 + (o - 10/(-5)) is divided by 8.
7
Let w = 240 - 90. Suppose -w = -6*p + 4*p. What is the remainder when p is divided by 8/32 - (-150)/8?
18
Suppose -8*s = -1290 + 338. Calculate the remainder when (-34)/s - (100/(-7) + 1) is divided by 4.
1
Suppose -14*b - 4 = -10*b. Let d = 5 - -5. What is the remainder when ((-1)/b)/((-2)/(-38)) is divided by d?
9
Let b(g) = 10*g - 19*g + 10 + g - 1. Let k be (20/(-25))/((-2)/(-15)). What is the remainder when b(k) is divided by 15?
12
Let t(i) = -4*i + 62. Let l be (6*(-6)/(-72))/(2/44). Calculate the remainder when 71 is divided by t(l).
17
Calculate the remainder when (-2 - (-1164)/4)*(16 - 15) is divided by 14.
9
Suppose -2*n = 3*f - 34, 4*n - f = 43 + 11. Calculate the remainder when 307 is divided by n.
13
What is the remainder when 126 is divided by 6/((-2)/(-72)*9)?
6
Let z = 22 - 1. Let x = z + -11. Suppose 0 = -3*k + 2*q + 112, -42 = -k + 8*q - 12*q. What is the remainder when k is divided by x?
8
Suppose 0 = -7*s + 3*s. Suppose 0 = -0*a + 2*a + 4, d + 5*a - 5 = s. What is the remainder when d is divided by 10?
5
What is the remainder when (1 + 569/4)*(-112)/(-84) is divided by 8?
7
Suppose s - 5*u = -7 + 1, 4*s - u = -81. Let o = 34 + s. Calculate the remainder when o is divided by 7.
6
What is the remainder when (-6)/4 + 6/(-20)*-245 is divided by 43?
29
Let u(s) = -15*s + 119. Calculate the remainder when 219 is divided by u(7).
9
Let z(f) = 32*f - 237. Calculate the remainder when 7/(1/14*1) is divided by z(9).
47
Calculate the remainder when (-6 - 68598/(-135)) + 8/(-60) is divided by 36.
34
Suppose -7636*d = -7646*d + 100. What is the remainder when 2/5 - 223/(-5) is divided by d?
5
Suppose 0 = -2*z + 4, -16 = -j - 4*z + 16. Calculate the remainder when 41 is divided by j.
17
Suppose -1520 = -17*g + g. Suppose -5*t + 120 = -3*d + 7*d, 4*d = 5*t - 120. Calculate the remainder when g is divided by t.
23
Let r(d) = d**3 + 8*d**2 + 13*d + 3. Calculate the remainder when r(-4) is divided by (4/(-6))/(3/(-27)).
3
What is the remainder when 229 is divided by 53 + -38 + 1 + -6?
9
Let z = -4 - -7. Suppose -z*s = -4*h - 80, 63 = s + 4*h + 15. What is the remainder when 120 is divided by s?
24
Suppose -3*a + a + 5*w + 47 = 0, 2*a = 3*w + 37. Calculate the remainder when a is divided by 7.
4
Suppose 0*l = 2*l + 6, -2*u + 21 = 3*l. Let h = 2246 + -2157. Calculate the remainder when h is divided by u.
14
Let d(m) = -m**2 + 35*m + 13. Calculate the remainder when d(35) is divided by 6.
1
Suppose 0 = -10*g + 8*g - 4*g. Suppose -3*z - 4*z + 1057 = g. What is the remainder when z is divided by 11?
8
Let u(i) be the first derivative of i**2 + 5*i + 5. Let k be u(-10). Let c = 30 + k. Calculate the remainder when c is divided by 4.
3
Let k be (112/(-40))/((-2)/20). Suppose 0 = 6*s + s - k. Calculate the remainder when 14 is divided by s.
2
Suppose -8*b = -b - 161. Calculate the remainder when b is divided by 4.
3
Let g(i) = i. Let o be g(6). Let m be 4/o + 64/3. Let k = -8 + m. What is the remainder when k is divided by 4?
2
Let u = -4 + 8. Let v(k) = k**2 - 16*k - 52. Calculate the remainder when v(21) is divided by (-27)/u*(-24)/9.
17
What is the remainder when 57 is divided by (-5 - (-168)/6) + 0?
11
Calculate the remainder when ((4 - 5)*1)/((-2)/6) is divided by 70/(-28)*12/(-10).
0
Suppose l - 447 = 39*t - 38*t, -4*l - 3*t = -1788. Calculate the remainder when l is divided by 90.
87
Let w = 1215 - 1130. What is the remainder when w is divided by 8?
5
Let w(p) = 26*p + 7. Let m be w(-3). Let h = -42 - m. What is the remainder when 56 is divided by h?
27
Let a = 49 + -4. Suppose 0 = -2*y + 3*o + 23, -2*y - 5*o + 7 + 40 = 0. What is the remainder when a is divided by y?
13
Let u = 60 - 54. Let y(l) = 0*l**2 - l**2 + 5*l + 4*l + 1. Calculate the remainder when y(u) is divided by 11.
8
Let n(x) = 3*x - 13. Let i = 23 + -21. Suppose 0 = -i*h + 1 + 17. What is the remainder when n(h) is divided by 8?
6
Suppose 2*i - 2*v = -218 + 768, -826 = -3*i + 2*v. What is the remainder when i is divided by 19?
10
Let k = 9 - 6. Let f(m) = 48*m + 1. Let z be f(1). Suppose k*t - 143 = z. What is the remainder when t is divided by 22?
20
Let s(c) = 3*c**2 + 7*c + 7. Let q be s(6). Suppose -t = -q - 1. Calculate the remainder when t is divided by 10.
8
Suppose -34*z + 29*z = -90. Let n = 127 + -59. What is the remainder when n is divided by z?
14
Suppose 2*c + 2*l = 12, -4*c - 5*l = -0*c - 19. Suppose -2*i + c = -19. What is the remainder when i is divided by -2 - -14 - (-9)/(-3)?
6
Let d be (3/(-6) + 1)*4. Suppose -z = -d*z + 24. Calculate the remainder when z is divided by 8.
0
Let v be 1/((-3)/(-36)*4). Suppose -l - v*l = -72. What is the remainder when 51 is divided by l?
15
Suppose 21*c - 22*c = -2. Calculate the remainder when 69 is divided by -3 - (3 + -26) - c.
15
Let x = 18 + -16. Let a(l) = -2*l - 7. Calculate the remainder when a(-5) is divided by x.
1
Let g(y) = -4*y + 70. Calculate the remainder when 52 is divided by g(11).
0
Suppose -12 = -5*b + 7*b. Let p = b - -4. Calculate the remainder when 31 is divided by p*((-119)/(-2))/(-7).
14
Suppose 48 - 5 = -3*j - 4*t, -3*j = 2*t + 47. Let m = j - -28. Suppose -16 = m*i - 13*i. What is the remainder when 31 is divided by i?
7
Let s be (2/(-3))/(12/594). Calculate the remainder when 49 is divided by 12/(-66) + (-468)/s + -1.
10
Suppose 476*r - 470*r = 120. What is the remainder when 319 is divided by r?
19
Suppose 3*i + 2*k = 139, i - 3*k - 51 = k. What is the remainder when i is divided by (-100)/(-15)*468/130?
23
Suppose 0 = -209*i + 206*i + 84. What is the remainder when 76 is divided by i?
20
Let c = 565 + -233. Calculate the remainder when ((-18)/(-36))/(2/c) is divided by 28.
27
Let h(n) = -n**2 + 7*n + 17. Let y be h(10). Let d(w) = -w**3 - 13*w**2 - 5*w - 2. Calculate the remainder when d(y) is divided by 11.
8
Let s(l) = -4*l - 4. Let y be s(3). Let v be (-15)/((-4)/(y/(-6))). Let r(c) = -c**3 + 10*c**2 + 8. Calculate the remainder when 23 is divided by r(v).
7
Let l = -36 + 31. Let v be ((-1372)/(-20))/((-1)/l). Suppose 3*g = -4*g + v. What is the remainder when g is divided by 13?
10
Let q(o) = 11*o**2 - 19*o + 35. What is the remainder when q(3) is divided by 39?
38
Let u = -16887 + 17001. Suppose -2*c = 5*m - 73, 4*m + 5*c = 3*c + 60. Calculate the remainder when u is divided by m.
10
Suppose 7*v - 56 = 3*v. Suppose 0 = -9919*m + 9932*m - 1001. Calculate the remainder when m is divided by v.
7
Let z(m) = -49*m + 542. Let t(q) = q**3 - 5*q**2 + 4*q + 1. What is the remainder when z(11) is divided by t(4)?
0
Let u be 18 + 0 - (4 - 3). Suppose -y = u - 21. Suppose n = -n + y. Calculate the remainder when 6 i