
Suppose -17*i + 23360 = -8090. Calculate the remainder when i is divided by 109.
106
Suppose 15*i - 17*i + 90 = 0. Calculate the remainder when i is divided by 22.
1
Let w(h) = 8*h - 8. Let b be w(3). Suppose 2*r - 7 = -n, 2*n = 2*r + b - 2. What is the remainder when 46 is divided by n?
4
Suppose -4*y + 2*g = -80, -8*g = -12*g. Suppose -15 = -3*c + 6. What is the remainder when y is divided by c?
6
Suppose -y = 3*y - 8. Let d(f) = -f**3 - 9*f**2 + 10*f - 2. Let s be d(-10). Let m(h) = -h**2 - 2*h + 1. What is the remainder when y is divided by m(s)?
0
Let m = 11 + 1. Suppose 0 = -16*s + 17 - 497. Calculate the remainder when 36 is divided by (-394)/s + m/(-90).
10
Suppose -45 = -10*q + 35. Calculate the remainder when 581 is divided by q.
5
Calculate the remainder when 17 is divided by 658/282*((4 - 0) + -1).
3
Let c = -1 - -7. Suppose -c*p + 2*p = -36. Calculate the remainder when ((-1)/2)/(1/(-34)) is divided by p.
8
Let m = 12 - 5. Let s be (-6)/21 - (-30)/m. Suppose -s*n = 20 - 88. What is the remainder when n is divided by 10?
7
Let u = -28 - -4. Let a = -1 - u. What is the remainder when a is divided by 6?
5
Calculate the remainder when ((-76)/(-10))/(2/25) is divided by 84.
11
Suppose 3*g + o - 30 = 10, 0 = 3*g - 2*o - 28. What is the remainder when (-3 + g/8)/((-3)/136) is divided by 18?
14
Let s(v) = v**3 - 4*v**2 + 2*v + 9. Calculate the remainder when 658 is divided by s(5).
42
Let t = -18 - -31. Let j(p) = -92*p + 1405. Calculate the remainder when j(15) is divided by t.
12
Suppose 0 = -2*n + 1 + 5. Suppose 0 = -4*x + 2*x + 5*f - n, 4*x = 5*f + 19. Calculate the remainder when (-1170)/(-40) + 12*3/48 is divided by x.
8
Suppose 0*c + 2*u - 1412 = -4*c, -5*c = 3*u - 1764. What is the remainder when c is divided by 17?
14
Suppose -10 = 15*w - 16*w. What is the remainder when 23 is divided by w?
3
Let l(q) = 3 + 1 + 15*q + 2 - 14*q. What is the remainder when (-1 + 2)*46*1 is divided by l(6)?
10
What is the remainder when (12800/36)/5 + 2/(-18) is divided by 5?
1
Let t(l) = -16*l + 2. Suppose 0 = -2*j + 3*o + 10, 2*j + 6 = -o - 0*o. Calculate the remainder when 33 is divided by t(j).
15
Let k = -80 - -87. Suppose 0*w + 9 = -3*w. Let p = w + k. Calculate the remainder when 5 is divided by p.
1
Let c = 664 - 614. What is the remainder when c is divided by 18?
14
Let m(p) = 12*p + 1 - 2 + 0. Let y(f) = 30*f**3 - 9*f**2 - f + 1. What is the remainder when y(1) is divided by m(1)?
10
Suppose 2*t + 3*t = -3*x + 48, -29 = -3*t - 2*x. Calculate the remainder when 33 is divided by t.
6
Let n = 41 - 58. Let u = 29 + n. Calculate the remainder when 28 is divided by u.
4
Let t be 44/(-55) - (-2)/(-10). Let f be t + -6*2/(-4). Suppose 0 = a + f*a - 39. What is the remainder when 50 is divided by a?
11
Suppose 0 = -z - 3, -2*u = 8*z - 4*z - 94. What is the remainder when 102 is divided by u?
49
What is the remainder when (-8)/(-20) + 466/10 is divided by (-23)/(-207) - (-3 - 824/36)?
21
Let s = 23 + -29. Calculate the remainder when 9 is divided by s/5*10/(-4).
0
Suppose -y - r = -32, -22*r + 18*r + 97 = 3*y. What is the remainder when 247 is divided by y?
30
Suppose -3*i + 2*z = -145, -i - i + 4*z + 94 = 0. What is the remainder when i is divided by 31?
18
Suppose 33*x = 5*x + 840. What is the remainder when 268 is divided by x?
28
Let i = -25 - -26. Suppose -c = i - 16. Calculate the remainder when c is divided by 6.
3
Suppose -3*x = -5*x + 2*w + 32, 4*x - 56 = -4*w. Let k be (-6)/x + (-48)/5. What is the remainder when 35 is divided by (7 - k) + -1 + 3?
16
Let j(s) = -4*s**2 - 41*s + 21. What is the remainder when 122 is divided by j(-10)?
29
Suppose -4*h + 36 = -h. Let l be (3 + -5)*(-5 - (0 - 3)). Suppose 0*a + 2*t + 56 = 2*a, 0 = -l*a + 5*t + 117. Calculate the remainder when a is divided by h.
11
Suppose -2*i - 4*f + 238 = 0, -3*i - 3*f = i - 491. Calculate the remainder when i is divided by 70.
55
Calculate the remainder when 120 is divided by (109/(-218))/((-3)/(12*5)).
0
Let o(x) = 4*x**3 + x**2 + x - 1. Let n(k) = -5*k**3 - 2*k**2 - k + 1. Let l(i) = -2*n(i) - 3*o(i). Calculate the remainder when 91 is divided by l(-2).
22
Suppose -5*x = -15 - 5. Suppose 0 = -x*t + 210 + 78. What is the remainder when t is divided by 25?
22
Let b = 2104 + -2064. What is the remainder when 200 is divided by b?
0
Suppose -24*k + 558 = 198. What is the remainder when 133 is divided by k?
13
Let m = 49 + -67. Suppose -7 - 13 = -2*k. What is the remainder when k is divided by 0 + -2 - (m + 10)?
4
Let l(y) = y**2 + y + 14. Let b be l(0). Let r be 2*-3*b/(-12). Suppose 2*m - 55 = r. Calculate the remainder when m is divided by 17.
14
Let m = 189 + -109. Calculate the remainder when m is divided by 59.
21
Suppose 0 = -4*b - 3*n + 4159, -2*b - 2*n + 1627 = -451. What is the remainder when b is divided by 95?
92
Let c(k) = -k**3 - 9*k**2 - 7*k + 9. Suppose 5*x = 3*l + 4*x + 25, -l - 5 = 3*x. Let u be c(l). What is the remainder when (-104)/4*(-1)/u is divided by 8?
2
Let m(o) be the first derivative of 5*o**3/3 + 9*o**2/2 - 3*o - 19. What is the remainder when m(-3) is divided by 5?
0
Suppose 4*z + 3*p = 212, 2*p - 38 = -z + 5*p. Suppose 13*n + 392 = 17*n. What is the remainder when n is divided by z?
48
Let w(n) = -n + 2. Let p = 20 + -11. What is the remainder when p is divided by w(-1)?
0
Suppose 0 = -2*z + z - 1. Calculate the remainder when (z - -4)*(-46)/(-3) is divided by 8.
6
Let b(y) = y**3 - 21*y**2 + 24*y - 65. Calculate the remainder when b(20) is divided by 2.
1
Let i = -62 + 73. Suppose 3*u - 16 = -1. Suppose u*y - 125 - 80 = 0. Calculate the remainder when y is divided by i.
8
What is the remainder when 67 is divided by 8 + 36 + -7 + -3?
33
Let w be (-252)/24 + 3/2. Let u be w/2*-2*-1. What is the remainder when 3/2*(-246)/u is divided by 14?
13
Suppose -z - 61*m + 59*m = -324, 4*z - 5*m - 1283 = 0. What is the remainder when z is divided by 12?
10
Let a = -11 - 0. What is the remainder when 125 is divided by -6 + 1 - 286/a?
20
Let c = -62 + 54. Calculate the remainder when 26 is divided by 119/13 + c/52.
8
Let v = 429 + -234. Calculate the remainder when v is divided by 18.
15
Suppose 0 = -5*l + 3*d + 8 + 3, d + 9 = 3*l. Let v be (-10930)/(-22) + 16/88. What is the remainder when 49 is divided by (-3)/l - v/(-28)?
15
Let y be (35/(-2))/((-24)/(-48)). Suppose 8 = 5*v - 3*v, 284 = 4*n - 3*v. Let r = n + y. Calculate the remainder when r is divided by 14.
11
Suppose 70 = o + 914. Suppose -4*f - 54 = -5*r, 0 = r + 3*r + 8. What is the remainder when o/f - 2/(-8) is divided by 18?
17
Let n(h) = 4*h - 2. Let v be n(2). Let k(s) = 3*s**2 - 2*s - 7. Let r(f) = 21*f - 111. Calculate the remainder when k(v) is divided by r(6).
14
Let z(w) = 5*w**2 - 12*w + 30. What is the remainder when 69 is divided by z(3)?
30
Let x(t) = -8*t**3 - 18*t - 12. Let i(p) = 3*p**3 + 6*p + 4. Let y(u) = 11*i(u) + 4*x(u). What is the remainder when 14 is divided by y(3)?
4
Calculate the remainder when 645 is divided by (-21)/28 - (3 - 501/12).
37
Let x = 20 - 16. Suppose -3*n + 0*n - 52 = 4*t, -x*n = -16. Let b = 10 - t. Calculate the remainder when 49 is divided by b.
23
What is the remainder when (-7242)/(-30) - 21/(-35) is divided by 81?
80
Suppose -4*q = -2*q. Let u be 3 + q - 0 - 3. Suppose u = w + y - 31 - 21, -5*y - 28 = -w. What is the remainder when w is divided by 10?
8
Let q = -214 + 340. Suppose 1 = -g + 2, 3*t = -3*g + q. What is the remainder when t is divided by 86/4 - (-1)/2?
19
What is the remainder when 102 is divided by (5 - 1 - (-9)/3)*3?
18
Suppose -v = 1, 0 = -4*k + 3*v - 49 + 128. Suppose 0 = -7*a + 8*a - k. What is the remainder when a is divided by 4?
3
Let z = -1 + 6. Suppose 0 = -z*p + 2*p + 204. Let a(x) = -x**2 + 8*x - 5. What is the remainder when p is divided by a(5)?
8
Suppose -448 + 136 = -4*f. Let x = -32 + f. What is the remainder when x is divided by 12?
10
Let r(w) = -314*w - 6. Let c be r(-4). Let l be (-6)/(-33) - c/(-22). Let b = l - 30. What is the remainder when 78 is divided by b?
24
Let t(g) = g**2 + g + 18. Let f be t(14). Suppose f = -q + 3*q. Suppose 5*x - q = 1. Calculate the remainder when 66 is divided by x.
20
What is the remainder when 0 + 6 + (14 - -166) is divided by 19?
15
Suppose 6*k - 3*k - 9 = 0. Let x = 50 - 40. Cal