 0. Calculate the remainder when u is divided by k.
14
Let y = 46 - 22. Suppose 4*h + 4*p = 108, -5*p + 31 = h - 0*p. Let o = h - 17. Calculate the remainder when y is divided by o.
6
Let r be (-7)/(7/253)*-1. Let n = 499 - r. What is the remainder when n is divided by 50?
46
Suppose -2*d + 95 = -561. Let z be d/20 + 6/(-15). Suppose z = 3*u - 131. What is the remainder when u is divided by 13?
10
Let x(u) = 18*u**3 - 3*u**2 + 4*u - 5. Let l(o) = -o**3 - 11*o**2 - 19*o - 7. Let k be l(-9). Calculate the remainder when x(k) is divided by 46.
43
Suppose -2332 = -4*o - l, 2*o = -13*l + 10*l + 1156. What is the remainder when o is divided by 19?
14
Suppose 0 = -30*v + 3385 - 715. What is the remainder when v is divided by 5?
4
Let t = 20 - 21. Suppose -v = 3*v - 8. Calculate the remainder when 57 is divided by -1*(17/t + v).
12
Suppose 5*j = 4*n + n - 85, 16 = 2*n + 4*j. Calculate the remainder when n is divided by (-35)/14*12/(-5).
2
Let y = -222 + 235. What is the remainder when 40 is divided by y?
1
Let z be (-128)/10 + (-11)/55. What is the remainder when 2 - 4/(4/z) is divided by -3 + 2 + 11 + -2?
7
Suppose -15*x + 1693 + 1562 = 0. Calculate the remainder when x is divided by 58.
43
Suppose -2625 - 2295 = -15*c. Calculate the remainder when c is divided by 47.
46
Suppose -3*g + 10 = -5*g. Let i(d) = -d**3 - 6*d**2 + 3. What is the remainder when (-5 - -4)*g*1 is divided by i(-6)?
2
Suppose -5*o - 20*o + 75 = 0. What is the remainder when 6 is divided by o?
0
Let b(r) = -r - 6. Let t be b(9). Let v be 88 + -1 - 60/t. Suppose 0 = 5*m + 2*m - v. What is the remainder when m is divided by 7?
6
Let y = -9 - -15. Suppose -3*l = -5*r + 40, -4*r = -3*l - 0*r - 35. What is the remainder when 42 is divided by (l/2)/((-1)/y)?
12
Suppose -3*y + 21 = -7*w + 4*w, w - 3 = -4*y. Let z be y/4*-2 + -1. What is the remainder when z/((-1)/14*1) is divided by 10?
8
Let p = 168 - 104. What is the remainder when 382 is divided by p?
62
Suppose -c - 41 = 2*c - 5*w, c + 3 = -w. Let j = 19 + c. Suppose -14*q + 9*q = -4*r + 133, 0 = -q - 1. Calculate the remainder when r is divided by j.
8
Let v = 66 + -55. Suppose 2*a = -v*a + 169. Calculate the remainder when (-6)/5*(-28 + -2) is divided by a.
10
Let n(i) = -6*i + 20. Let a be (-1547)/117 - 4/(-18). What is the remainder when n(a) is divided by 25?
23
Suppose 3*b = -2*p, -b + 9 = 2*b + 5*p. Let i(d) = 6*d - 2. Let u(y) = -y. Let x(m) = -i(m) - 2*u(m). Calculate the remainder when 17 is divided by x(b).
7
Suppose -v = -19 + 3. Suppose -2*g + 190 = 4*x, 2*x - 65 = 7*g - 2*g. Calculate the remainder when x is divided by v/1 - (0 - 0).
13
Calculate the remainder when 161 is divided by 42 - 0*(-6)/(-30).
35
Suppose -12 = 2*v - 36. Suppose 5*s = 48 + v. What is the remainder when s is divided by 5?
2
Suppose 816 = -9*d + 2031. What is the remainder when d is divided by 22?
3
Suppose t - 834 = -t - 4*x, 16 = -4*x. Calculate the remainder when t is divided by 71.
70
Let q be 2/(-5) - 136/(-40). What is the remainder when 1 + -4 + q + 107 is divided by 36?
35
Suppose 0*m = m - 31. Calculate the remainder when 790/(-1150) + (-18)/(-207) + 896/10 is divided by m.
27
Suppose -5*y + 207 = 47. Let i(u) = -6*u - y*u**3 + 33*u**3 - 12*u**2 - 9 + 22*u. What is the remainder when i(11) is divided by 12?
10
Suppose -18*u + 117 + 243 = 0. What is the remainder when 45 is divided by u?
5
Suppose 17*w + 14*w = 9*w + 2838. Let g = 20 - 7. Calculate the remainder when w is divided by g.
12
Let g = 267 - 224. What is the remainder when g is divided by 18?
7
Suppose 5*v = -2*p + 134, v = -62*p + 57*p + 335. What is the remainder when 400 is divided by p?
65
Suppose 37 - 1 = -3*m. Calculate the remainder when 85 is divided by 22/(4/(m/(-3))).
19
Let z = -258 + 128. Suppose 5*b + 460 = x, -5*x + 130 = -b + 38. Let k = b - z. Calculate the remainder when k is divided by 21.
17
Let v be -1 - (-1)/(-3 + 4). Let m be -1 - (-1)/(1 + v). Suppose -7 + m = -r. Calculate the remainder when 25 is divided by r.
4
Let h be 3/(-7) - 990/(-105). Suppose 0 = -n - h*n + 20. What is the remainder when 5/(10/12) + -2 is divided by n?
0
Suppose -2*r + q = -4*r + 19, 4*r = 5*q + 73. Calculate the remainder when 297 is divided by r.
9
Let x = -19 + 7. Let h = -5 - x. Suppose 14 = -c - 4*q, -18 = -c + 4*q - 0. What is the remainder when h is divided by c?
1
Let d = -56 - -56. Suppose -2*u - 6*m + 4*m + 24 = d, -4*u + 46 = 3*m. Suppose q = -0*q + 3. What is the remainder when u is divided by q?
1
Suppose 3*q - 4*l + 84 = 0, 4*l + 12 = -3*q - 48. Calculate the remainder when 76 is divided by q*((-42)/56 + (-1)/(-12)).
12
Suppose -5*s + 3*p = -829, -3 = -4*p + 5. Suppose -u - 5*n + 68 = 0, -92*u + 95*u + 3*n = 144. What is the remainder when s is divided by u?
38
Let i(o) be the second derivative of 17*o**5/10 - o**4/12 + o**3 - 3*o**2 + 44*o. Calculate the remainder when 64 is divided by i(1).
31
Suppose 0 = -2*t - 0*t + 10. Suppose 2*d = t*s - 0 + 3, 3*s - 45 = -4*d. What is the remainder when 35 is divided by d?
8
Let p = -22 + 21. Let w(z) = 102*z**2. What is the remainder when w(p) is divided by 35?
32
Let c = 165 - 53. Let k = c - 75. Suppose v = -4*v + 70. Calculate the remainder when k is divided by v.
9
Suppose 51*b + 32 = 1154. Let y(c) = c**3 + 8*c**2 + 7*c + 2. Let v be y(-6). Let o = v - b. Calculate the remainder when 29 is divided by o.
9
Suppose -2*r + 9 = -4*c - 105, 3*r + 3*c = 126. Let p = -965 - -1150. Calculate the remainder when p is divided by r.
44
Let p(r) = -r**2 - 19*r - 37. Calculate the remainder when 147 is divided by p(-12).
6
Let t = -268 - -536. Calculate the remainder when t is divided by 16.
12
What is the remainder when 417 is divided by ((-2)/(-5))/((-9)/1080*-4)?
9
Suppose 3*x = 6*x + 312. Let w = -73 - x. Suppose -2*o + 32 = -0*o. What is the remainder when w is divided by o?
15
Let w = 16 + -17. What is the remainder when ((-110)/8)/(3/(-24)) is divided by 27 + (0 - (0 + w))?
26
Let x = -375 + 378. Calculate the remainder when (-1 + 12 + -2)*1 is divided by x.
0
Let b(i) = i**3 + 9*i**2 + 6*i + 6. Suppose -17 - 23 = 5*c. Calculate the remainder when 41 is divided by b(c).
19
Let m = -1237 + 1875. What is the remainder when m is divided by 90?
8
Let i(r) = 12*r + 7. Let v = -104 + 104. Let u = -8 + 40. What is the remainder when u is divided by i(v)?
4
Let z = 275 - 143. What is the remainder when z is divided by 15?
12
Let w = -28 + 41. What is the remainder when 16*((-13)/(-4) - 2) is divided by w?
7
Let y(p) = -p**3 - 2*p**2 - 8*p + 10. Calculate the remainder when y(-5) is divided by 42.
41
Let t(s) = -s - 5. Let l be t(-5). Suppose l = 5*i - 5*n + 5, -2*n = -5*n. Calculate the remainder when 44 is divided by (i/(-2))/(1/46).
21
Let u(y) = 5*y**2 + 13*y + 6. What is the remainder when 94 is divided by u(-3)?
10
Suppose 3*v - 1017 = 5*h + 698, 5*h = -20. Let j be v/3 + 4/6. Let t = j - 105. Calculate the remainder when t is divided by 29.
26
Suppose 0 = p - 42 - 33. Let w(h) = 15*h - 4. Let s be w(1). Suppose s*l = 277 + 9. Calculate the remainder when p is divided by l.
23
Calculate the remainder when 106 is divided by (66/28)/((-81)/(-108))*7.
18
Suppose -m + 12 = -0*m. Suppose 3*w = -2*c + 4*c - 52, 0 = c + 2*w - m. What is the remainder when 38 is divided by c?
18
Suppose 8*x + 4047 = 10023. Calculate the remainder when x is divided by 247.
6
Let v be -2 + (8/4 - 1). Calculate the remainder when ((-10)/4)/(v/22) is divided by 29.
26
Suppose -5*a + 27 - 7 = 0. Suppose 51 = -a*j + 7*j. Calculate the remainder when j is divided by 5.
2
Suppose 4*q - 52 - 45 = 3*f, -5*f + 80 = 3*q. Let r = 158 + -144. Calculate the remainder when q is divided by r.
11
Let w = 37 + -18. Let q(j) = 5*j. Let a be q(-4). Let d = -9 - a. Calculate the remainder when w is divided by d.
8
Let n(k) = -k**3 + 14*k**2 - 42*k + 22. Suppose -3*c - 49 = 4*d - 8*d, 1 = c. What is the remainder when n(9) is divided by d?
10
Let g be (-1 + 213)*-4*5/(-40). Suppose -4*f + 4*a + g = 2*a, 0 = -f + 2*a + 28. Calculate the remainder when 64 is divided by f.
12
Let f(z) = -z**3 + 6*z**2 - 4*z + 4. Let y = 9 - 2. Calculate the remainder when f(4) is divided by y.
6
Let t(a) = 11*a**2 - 3*a + 1. Let y be t(1). Suppose -34 - 38 = -y*m. Calculate the remainder when