w*x = 167. Calculate the remainder when r is divided by 19.
0
Suppose 5 = x, -3*i - 2*i + 5*x = -145. Let l(b) = 2*b + 78. Let z be l(-25). Suppose -406 = -z*g - 154. Calculate the remainder when i is divided by g.
7
Suppose 8991*r - 8942*r - 1862 = 0. Calculate the remainder when 226 is divided by r.
36
Suppose -23 = -5*i - 18. What is the remainder when 495 is divided by i*-142*35/(-70)?
69
Suppose 2*s - 4*q - 754 = -3*s, -150 = -s + q. Calculate the remainder when s is divided by 30.
4
Let t be (1 + -3)/((-33)/66). Suppose -t*m + 975 = -1621. Calculate the remainder when m is divided by 21.
19
Let l = 511 + -515. Calculate the remainder when 15 is divided by l + 2 - 18/(-3).
3
Calculate the remainder when -4626*(5 + (-78)/18 + 49/(-42)) is divided by 101.
91
Calculate the remainder when 160 is divided by (6/10)/(48/11760)*1.
13
Let t(b) = 3*b + 10. Let g be t(6). What is the remainder when 431 is divided by 48/(-168) + 1016/g?
35
Let y(p) be the third derivative of -p**4/3 + p**3/6 + 2*p**2. Calculate the remainder when y(-2) is divided by 45/(-60)*-10 - 3/(-2).
8
Let p be 16/1 + (-2)/(-2). Suppose -l - 21 = -4*i, -l - p = 4*i - 7*i. What is the remainder when 2/(4/l)*-64 is divided by 23?
22
Let k = -35310 + 35735. What is the remainder when 886 is divided by k?
36
Suppose 5*g = 14 + 21. Suppose -16*v - 2*p + 465 = -13*v, 2*v - 15*p = 261. What is the remainder when v is divided by g?
6
Suppose -5049 = 20*u + 51. Let d = -226 - u. Calculate the remainder when 84 is divided by d.
26
Let a be (36/20*(-25)/(-15))/(9/258). Suppose -3*m + 38 = -t, -2*t - 5*m - 114 = t. Let d = t + a. What is the remainder when d is divided by 10?
8
Suppose 3*g + 0*g = -4*v + 10604, -10610 = -3*g + 2*v. Suppose 41*q - 57*q + g = 0. What is the remainder when q is divided by 5?
1
Suppose 4*x = 3*i + 8, 2*x - 4*i + 5 = -1. Let n(t) = t**2 - 5*t + 10. Let m = -71 - -73. What is the remainder when x is divided by n(m)?
1
Suppose 0 = 23*f + 6267 - 32142. Let i = 51 - 0. Calculate the remainder when ((-24)/(-10))/(18/f) is divided by i.
48
Let r = -29792 - -32771. What is the remainder when r is divided by 21?
18
Let h(g) = -g**3 - 20*g**2 - 2*g - 40. Let r be h(-20). Let t be 268/22 - (r + 8/44). Suppose 0*c + 552 = t*c. What is the remainder when c is divided by 17?
12
Let a = -3322 - -4154. What is the remainder when a is divided by 287?
258
Suppose -15*x + 868 - 568 = 0. Calculate the remainder when 248 is divided by x.
8
Suppose 0*m = -7*m - m. Suppose 2*w + m = 34. Calculate the remainder when 271 is divided by w.
16
Let i(j) = -j**2 + 25*j - 79. Let n be i(21). Suppose d + 111 = n*d + p, -5*d = 4*p - 147. Calculate the remainder when 131 is divided by d.
23
Let f = 8 + -38. Suppose -z = -19 + 6. Calculate the remainder when z is divided by (160/f)/(2/(-3)).
5
Let f(n) = -97*n - 6252. Calculate the remainder when f(-75) is divided by 361.
301
Let z(n) = 2*n**3 - 14*n**2 - 21*n + 6. Calculate the remainder when z(11) is divided by 83.
79
Let d(b) = -5*b + 4. Let y be d(-6). Suppose -r - r + 5*h = -y, -4*r + 44 = -4*h. What is the remainder when 280/7 + 52/52 is divided by r?
6
What is the remainder when 1659*(2 - 0/(-1))/(-4 - -7) is divided by 27?
26
Let q = -59 + 83. Let v be 2072/16 + (-1)/(-2). Suppose s - 18 = -p + v, -p = 2*s - 153. Calculate the remainder when p is divided by q.
23
Suppose -106 = -0*j - 2*j. What is the remainder when j*-1*(0 + -1) is divided by 15/(-6) - (3 - 4)*(-46)/(-4)?
8
Let f(d) = 53*d - 182. Calculate the remainder when 188 is divided by f(4).
8
Suppose -22*b - 6 = -24*b. Suppose -i - 2*m = 3*m - 15, -b*i - 2*m + 97 = 0. Let x = i - 27. What is the remainder when 38 is divided by x?
6
Let r = -4469 - -4494. Calculate the remainder when 294 is divided by r.
19
Let s(o) = 892*o - 5339. What is the remainder when 1192 is divided by s(6)?
9
Let c = 209 + -324. Let z = 447 + c. Calculate the remainder when z is divided by 67.
64
Let m be (248/(-217))/(4/(-42)). Suppose 1782 = 21*r + m*r. Calculate the remainder when 97 is divided by r.
43
Let x(s) = -s**3 + 4*s**2 + 2*s + 3. Let i = -8713 - -8804. What is the remainder when i is divided by x(4)?
3
Let v = 19 - -9. Suppose -20 - v = -3*r. Let s = 5969 + -5958. Calculate the remainder when r is divided by s.
5
Suppose -3*a + 9673 = 4*q, 635*a - 3*q = 630*a + 16112. What is the remainder when a is divided by 25?
23
Suppose -2403 + 1569 = -2*p. What is the remainder when p is divided by 17?
9
Suppose -3*m = o - 33, 5 + 6 = m + 2*o. Let q = -39 - -44. Let h = m - q. Calculate the remainder when 17 is divided by h.
5
Suppose -75*h - 109*h - 1173 + 3381 = 0. What is the remainder when 5867 is divided by h?
11
Suppose o + 2*o = -4*p + 112, -5*o = 3*p - 73. What is the remainder when 2/33*-213*286/(-52) is divided by p?
9
Let v = -95 - -36. Let l = v - -160. Suppose -2*k = k + 9, -92 = -4*a - 4*k. What is the remainder when l is divided by a?
23
Let m(i) = 7*i**2 + 5. Calculate the remainder when m(-4) is divided by (-316)/553*(-55 - -13).
21
Suppose -11838 = -0*x - 4*x + 3778. What is the remainder when x is divided by 63?
61
Suppose -2*n - 3*y - 369 = -4*n, 3*n = 2*y + 556. Suppose 12*l = 14*l - n. Suppose 3*a = w - a - 26, 5*a + 15 = 0. What is the remainder when l is divided by w?
9
Suppose 4 = -4*z - 4*y, 0*z + 14 = 4*z - 2*y. Let s = 21 + z. Suppose 4*r - 417 = -61. Calculate the remainder when r is divided by s.
20
Let b(u) = 63*u + 419. Calculate the remainder when b(15) is divided by 21.
20
Suppose d - w + 4 + 1 = 0, 2*d - 3*w + 12 = 0. Let l = -36 - d. Let q = 81 + l. Calculate the remainder when q is divided by 10.
8
Let x(z) = -17*z - 3. Let u be x(-4). Suppose 5*c - 53 = -2*h, 4*c = -5*h + u - 26. Calculate the remainder when ((-4240)/200)/((-2)/5) is divided by c.
9
Suppose -4*i = -5*c + 2, i - 6*i - 25 = 5*c. Let y be i/(-12)*2 - 306/(-4). Let b = y + -5. Calculate the remainder when b is divided by 38.
34
Let j(u) = u**2 - 5*u + 52. Let w be j(16). Suppose -37*r - w = -49*r. Calculate the remainder when r is divided by 14.
5
Suppose 0 = p + d + 1, 3*p + 2*d + 3 - 4 = 0. Let v(x) = 28*x - 66. What is the remainder when 65 is divided by v(p)?
11
Let j = -1623 - -1715. What is the remainder when 236 is divided by j?
52
Let j be 2 + (-1 - -1)/(-3). Suppose 12 = j*q - 12. Suppose -59 = 4*f - 11 + 8, -a + 90 = -4*f. Calculate the remainder when a is divided by q.
10
Suppose 21*t = -769 - 50. Let p(c) = c + 88. Calculate the remainder when 86 is divided by p(t).
37
Suppose -16*z - 2*z = -8424. Calculate the remainder when z is divided by 3.
0
Let r be -3 - 3/(-2) - (-6)/(-12). Let u(p) = 43*p**2 - p. Calculate the remainder when u(r) is divided by 18.
12
Suppose 5*n = -m + 68, -12 = -4*m - 0. What is the remainder when 584 is divided by n?
12
Suppose -2420 = -3277*p + 3167*p. Let j(v) = 2*v**3 + 2*v**2 - 4*v + 3. What is the remainder when j(3) is divided by p?
19
Suppose 8*w + 2088 = -2312. Calculate the remainder when w/(-4) - ((-9)/(-2))/9 is divided by 10.
7
Suppose r + 4*x = -0*r + 12, 66 = 4*r - 2*x. Let d be (76/(-12) - -6)/((-2)/30). Suppose -d*a - 9*a + 1050 = 0. Calculate the remainder when a is divided by r.
11
Let k(r) = -r**3 - 28*r**2 + 89*r - 86. Calculate the remainder when 1173 is divided by k(-31).
33
Let w = 39705 + -39560. What is the remainder when 7974 is divided by w?
144
Suppose -13*v = -68*v + 220. Suppose -3*d = 5*k - 212, -7*d + 11*d + v*k - 280 = 0. What is the remainder when d is divided by 44?
25
Let x = -16275 - -24168. Calculate the remainder when x is divided by 21.
18
Suppose 5*w - 5 = -15, -5*b - 3 = -w. What is the remainder when (5 - -17)/(1 - b/(-3)) is divided by 21?
12
Let s(x) = x**2 + 5*x + 14. Suppose -z + 2 = -r, -7*r = -2*r - z + 22. What is the remainder when s(r) is divided by 4?
2
Calculate the remainder when (6 + (-120)/18)/((-6)/(-36)) + 251 is divided by 34.
9
Suppose 0 = -3*j - 4*k + 25, 16*k - 18*k = -4*j + 4. Suppose 0 = -2*l - 3*l + 30. Suppose 0 = j*t - l*t + 60. What is the remainder when 48 is divided by t?
8
Let l = 172 - 149. Suppose -144 = -l*z + 7*z. What is the remainder when z is divided by (1 - (1 + -1))*3?
0
Let s = -3 - -4. What is the remainder when 131 is divided by (s - -2) + (-703)/(-37)?
21
Suppose -5*x = 4*i -