1. What is the remainder when x is divided by l?
8
Suppose 8*y - 104 = -0*y. Suppose 8*v = y*v - 145. What is the remainder when 54 is divided by v?
25
Suppose -4*i = 2*j - 128, -218 = -3*j - i - 11. What is the remainder when 145 is divided by j?
5
Let r(l) = -5*l - 16. What is the remainder when 25 is divided by r(-5)?
7
Let o = -127 - -147. What is the remainder when 217 is divided by o?
17
Suppose -10*h + 5*h = -150. Suppose 2*y = 4*w + h, -2*y + 3*y - 17 = 4*w. Suppose 9 + y = l. Calculate the remainder when 64 is divided by l.
20
Let z be (1/(-2))/(4/(-136)). Let l = -26 + z. Let q = -2 - l. What is the remainder when 18 is divided by q?
4
Suppose -2*d + 5*j - 4 - 6 = 0, 0 = -d - j + 2. Suppose d = 11*u - 81 - 84. Calculate the remainder when u is divided by 9.
6
Let l = -39 + 61. What is the remainder when 1419/l - (2/2)/(-2) is divided by 11?
10
Suppose 277*x - 279*x = -32. Suppose 0 = 5*v - 40 - 260. Calculate the remainder when v is divided by x.
12
Let n(t) = -32*t**2 - t - 2. Let z = -13 - -12. Let q be n(z). Calculate the remainder when (0 + 1)*q*-1 is divided by 9.
6
Suppose 0 = 4*l - 288 + 108. Suppose -3*c = w + 3, 12 - 1 = 3*w + 5*c. Calculate the remainder when l is divided by w.
9
Let h = 108 + 40. What is the remainder when h is divided by 25?
23
Suppose -19*y = -28*y + 90. Let f(b) = -b**3 - 9*b**2 - 10*b - 1. Let i be f(-8). What is the remainder when 78/y - (-3)/i is divided by 3?
2
Let a(j) = 4*j + 2*j - 6 - 6*j - 4*j. Let s be a(-9). Suppose -t - t + s = 0. Calculate the remainder when 59 is divided by t.
14
Suppose 531 = j - 4*d, -4*d + 2067 = 4*j - d. Calculate the remainder when j is divided by 40.
39
Let u(s) = 3*s + 50. Calculate the remainder when 185 is divided by u(15).
90
Suppose 0 = 18*o + 381 - 651. What is the remainder when 134 is divided by o?
14
Let h = -301 - -313. Calculate the remainder when 90 is divided by h.
6
Suppose -4*x + 2*h = -x - 29, -2*x = 4*h - 46. Let n(d) = -8*d + 17. Calculate the remainder when n(-9) is divided by x.
11
Suppose v = -5*d + 16, 0 = 2*d - 3*v - 8 - 12. Suppose -o - 9 = d*u, 0 = -3*o - 4*u + 8 - 3. What is the remainder when o is divided by 6/3*3/3?
1
Suppose 20*s - 24*s - 24 = 0. Let w(u) = 2*u - 3. Calculate the remainder when (3 + (-9)/2)*s is divided by w(4).
4
Suppose 3*d - 2*m - 260 = 0, -2*m = -0 - 10. What is the remainder when 187 is divided by d?
7
Suppose 3*d - 2*v = 40, 12 = d + v - 3. Suppose 0*r = d*r - 1330. What is the remainder when r is divided by 25?
20
Suppose 42 = 15*y - 198. What is the remainder when 28 is divided by y?
12
Let g(d) = -d**2 + 16*d - 25. Let n be g(14). Let c = 20 - n. What is the remainder when 39 is divided by c?
5
Suppose -2*n + 5*x - 23 = 0, 5*n - 3*x = -5*x - 130. Let v be 70*(n/5 - -4). What is the remainder when 1 + 3 + (-3 - v) is divided by 10?
7
Calculate the remainder when 155 is divided by 2279/86*(3 + -1).
49
Let a be ((-16)/6)/(1/3). Calculate the remainder when a*((-5)/4 - 1) is divided by (18 - 18) + 0 + 4.
2
Let h = -7 - -9. Let s be (-12 - -14)*2/h. What is the remainder when (-177)/(-6) + (-1)/s is divided by 10?
9
Let t(v) = 8*v**2 - 6*v + 6. Let b be t(4). Let m = b - 57. Suppose -o + 72 = -m. Calculate the remainder when o is divided by 32.
29
Let s = 1463 - 1459. What is the remainder when 24 is divided by s?
0
Suppose 4*v + 3*z - 40 = 0, 0*z = 2*v + 2*z - 18. Suppose u = -4*r - 4*u + 129, 0 = -r - u + 33. What is the remainder when r is divided by v?
10
Let f = 2984 + -2958. Calculate the remainder when 201 is divided by f.
19
Let g be (3 + -3 - -2) + -8. Suppose 0 = i - 20 + 7. Calculate the remainder when i is divided by (9/(-6))/(g/32).
5
Let v(z) = z**3 - 9*z**2 + 3*z - 11. Suppose -5*x = 3*n + 12 - 63, -2*x + 4*n + 10 = 0. Let r(b) = b + 9. What is the remainder when v(x) is divided by r(0)?
7
Let a(v) = -v**2 + 55*v - 330. Calculate the remainder when 399 is divided by a(48).
3
Let j = 6784 + -6775. What is the remainder when (-166)/(-10) - (-4)/10 is divided by j?
8
Suppose 2*l + l = 93. Calculate the remainder when l is divided by 22.
9
Let r(j) = j**3 + 4*j**2 - 6*j - 1. Let o be r(-5). Suppose o + 100 = 4*n. What is the remainder when (-752)/(-10) + (-1)/5 is divided by n?
23
Let z be 9/2 + 6/12. Let c be 73/z + (-12)/(-30). Calculate the remainder when 29 is divided by 2/3 + 110/c.
5
Let v be 7/((-21)/(-36))*3. Suppose -8 - 3 = g + 3*z, 4*g - 4*z = v. Calculate the remainder when g is divided by (1 - -1)*(-2)/(-2).
0
Let y = 74 - -147. Calculate the remainder when y is divided by 71.
8
Let n be 4*((-51)/2)/(-3). Calculate the remainder when 85 is divided by (-392)/(-18) + n/153.
19
Suppose 5*d - 25 = 0, 3*o + 3*d - 4*d = 2593. Calculate the remainder when o is divided by 31.
29
Suppose 2*u - 2*o - 29 + 1 = 0, 0 = -3*u - o + 26. Suppose 12*k - 22 = u*k. Suppose 0*b = -3*b + 123. What is the remainder when b is divided by k?
8
Suppose -11*q + 211 = -427. Calculate the remainder when 230 is divided by q.
56
Let x be (-7)/(-28) + 31/4. Suppose 5*c - x = 7. Calculate the remainder when 29 is divided by 0 + 3*(c - -2).
14
Let g(q) = -60*q + 561. What is the remainder when g(6) is divided by 35?
26
Let g = -2146 - -2379. Calculate the remainder when g is divided by 40.
33
Suppose -5*d - 49 = -4*z, z - 2*z + 12 = -d. Calculate the remainder when 204 is divided by z.
6
Let w be 3/((-2)/(-180)*3). Suppose 2*r - 5*n = 75, 4*r + 0*n = -2*n + w. What is the remainder when r is divided by 14?
11
Let d = 10 + 3. Suppose 3 = 2*s - d. Calculate the remainder when 31 is divided by s.
7
Let v = -197 - -431. What is the remainder when v is divided by 17?
13
Let v(u) = -u**2 - 10*u - 12. Suppose -2*j = 12 + 4. What is the remainder when 13 is divided by v(j)?
1
Suppose 2*m + 3*m + 4*t - 255 = 0, -121 = -3*m + 4*t. Calculate the remainder when 184 is divided by m.
43
Suppose -6*j + 2108 = -628. Calculate the remainder when j is divided by 51.
48
Let n(t) = t**2 - 17*t - 26. Calculate the remainder when n(26) is divided by 55.
43
Let m = -248 + 349. Suppose -7*y + m - 31 = 0. What is the remainder when (-2)/4 - (-156)/8 is divided by y?
9
Let z(q) = -34*q - 37. Calculate the remainder when 320 is divided by z(-3).
60
Let q = -1275 - -1287. What is the remainder when (-2)/(-4) + 65/2 is divided by q?
9
Suppose -19*i + 215 = -165. Calculate the remainder when 195 is divided by i.
15
Let h = -18 + 18. Suppose 3*g - 3*a - 45 = h, -2*a = g - 4*g + 50. Calculate the remainder when 76 is divided by g.
16
Let b be 1 + 193 + -3*(-5)/15. Calculate the remainder when 140 is divided by 7046/b - 4/30.
32
Calculate the remainder when (5510/(-2))/(-5) - (1 + 2) is divided by 50.
48
Let l = -68 - -137. Calculate the remainder when l is divided by 5.
4
What is the remainder when 175 is divided by -3*8/16*(-1 + -65)?
76
Let u = -129 + 612. Calculate the remainder when 40/30 - (u/(-9) + 1) is divided by 14.
12
Suppose 9 = d + 2*b, 2*b - 9 = -5*d + 20. Suppose d*n - 5 = 40. What is the remainder when 97 is divided by n?
7
Calculate the remainder when 21 is divided by 5/(2 - 1) - (-7)/1.
9
Let o = -2037 + 3673. Calculate the remainder when o is divided by 11.
8
Suppose -3*p + 1005 = -3*y, -p - 2*y = -179 - 153. What is the remainder when p is divided by 28?
26
Let p(a) = -a**3 - 7*a**2 + 4*a + 5. Let j be p(-8). Suppose 3*f + 5*r - j - 113 = 0, 3*f - 132 = r. What is the remainder when f is divided by 8?
5
Let f(h) = 4*h**2 + 22*h - 18. Let z(x) = -44*x**3. Calculate the remainder when z(-1) is divided by f(-7).
20
Let p be 15/(-2 - -3) + 0. Let j = 74 - p. What is the remainder when j - ((-12)/3 + 1) is divided by 32?
30
Let w(m) = -5*m**3 - 4*m**2 + m + 7. Calculate the remainder when 97 is divided by w(0).
6
Let r(i) = i**2 - 2*i - 5. Let m be r(4). Suppose 0*y - m*y = -24. What is the remainder when 22 is divided by y?
6
Suppose g - 2*k - 54 = 0, -31 = 5*g - 2*k - 261. Calculate the remainder when g is divided by 1 + -5 + 3 + 25.
20
What is the remainder when 2 + -2 - (-2141 + -4)/11 is divided by 20?
15
Let j(d) = -3*d**2 - d**2 + 8*d + 8*d**2 - 3*d**2 - 8. Calculate the remainder when j(-11) is divided by 10.
5
Suppose 2*t = 7*t + 4*s + 600, -5*t - 5*s = 605. Let l = t - -194. What is the remainder when l is divided by 27?
24
Let z = 