 -2*v + 2 = -2*z, -4*z - z = -3*v - 1. Suppose 8*w + z*n = 3*w + 223, 2*w + 2*n = 88. Calculate the remainder when w is divided by 7.
3
Let r(x) = 2*x**2 - 59*x + 334. Calculate the remainder when r(24) is divided by 37.
33
Suppose -w + 3401 = -m, -3*w + 336*m - 338*m = -10203. What is the remainder when w is divided by 83?
81
Suppose 4*l - 2*l + 3*f = 351, 2*f + 849 = 5*l. Let w = l + -125. What is the remainder when (0 - 358)*4/(-8) is divided by w?
41
Suppose -19*z + 775 - 332 = -2236. Calculate the remainder when z is divided by 30.
21
Let i(j) = 45*j - 723. Calculate the remainder when 1174 is divided by i(17).
40
Let z = -39 - -23. What is the remainder when 81 is divided by 8/z*(102/3)/(-1)?
13
Let l = 5267 + -5131. Calculate the remainder when 395 is divided by l.
123
Suppose 20*j = 6*j + 98. Let r be (-78)/(-2*(-1)/(-2)). Suppose -24 = a - r. What is the remainder when a is divided by j?
5
Let z(y) = 8*y + 153. Let l be z(-17). Suppose -l*u + 243 - 56 = 0. What is the remainder when u is divided by 1?
0
Suppose 3*b - 75 = 2*p + 60, -3*b = -4*p - 135. Calculate the remainder when (-2)/((1/b)/(14/(-35))) is divided by 11.
3
Calculate the remainder when (((-418)/6)/19)/((-2)/2118) is divided by 72.
67
Let b be (108/(-48) + (-2)/(-1))*-16. Suppose -4*a - 3*o = -73, -5 = b*o - 1. What is the remainder when 52 is divided by a?
14
Let y(m) = -2*m**3 + 2*m**2 + 4*m + 1. Let q = 1341 - 1169. Calculate the remainder when q is divided by y(-3).
50
Suppose -5*m - 2*b = -948 + 56, b - 357 = -2*m. Suppose 7*k - 1068 = m. What is the remainder when k is divided by 38?
26
Let n(k) = 510*k - 2484. Calculate the remainder when 191 is divided by n(5).
59
Suppose u = 53 + 13. Suppose 2*p - q + 1 = 9, 0 = -p - 2*q + 9. Suppose 7 = i - 14*f + 12*f, 0 = -3*i - p*f + 76. What is the remainder when u is divided by i?
15
Suppose -17*v + 105 = -2*v. Calculate the remainder when 297 is divided by v.
3
Let z(j) be the third derivative of j**5/20 - 7*j**4/24 - j**3/6 - 62*j**2. What is the remainder when z(-5) is divided by 5?
4
Let x(d) = -137*d - 3889. Calculate the remainder when 1778 is divided by x(-30).
10
Calculate the remainder when 200 is divided by 61 - (-9 - (2 + -1)).
58
Suppose -9*q = 3*q - 276. Suppose 0 = q*y - 113 - 347. What is the remainder when 112 is divided by y?
12
Let m(n) = -n**3 - 17*n**2 + 2. Let d be m(-17). Suppose -d*a + 21 = 3. What is the remainder when a is divided by 1?
0
Let w = -1315 + 1368. What is the remainder when w is divided by 37?
16
Let p(w) = -3875*w**2 + 3876*w**2 + 5*w - 42 - 15*w. Calculate the remainder when p(16) is divided by 23.
8
Suppose 0 = 149*r + 36*r - 91020. Calculate the remainder when r is divided by 38.
36
Let s(n) = 2*n**3 - 13*n**2 - 25*n + 758. What is the remainder when s(15) is divided by 381?
17
Let l(v) = -2*v**3 - 4*v**2 - 4*v - 3. Let x = 312 + -448. What is the remainder when (1*(-2)/8)/(2/x) is divided by l(-2)?
2
Suppose 0 = -4*c + 2*m - 10 + 2, 0 = -m. What is the remainder when 172 is divided by (-8)/c + (-44 - -75)?
32
Let y(d) = -2*d - 5. Let l be y(-5). Suppose 0*o = -2*t - 4*o + 128, 55 = t + l*o. Let f = t + -30. Calculate the remainder when f is divided by 21.
19
Let n be 2527/42 - (-1)/(-6). Suppose -2*z = -n + 18. Calculate the remainder when 35 is divided by (-42)/4*(-36)/z.
17
Suppose r = -2*f + 372, 4*r + 4*f - 1104 - 364 = 0. Suppose 0 = -34*b + 32*b - 2*w + 56, 9*w = -2*b + 56. Calculate the remainder when r is divided by b.
26
Suppose -246 - 281 = -f. Calculate the remainder when f is divided by 12.
11
Let g = 14994 + -14562. What is the remainder when g is divided by 291?
141
Suppose 0*k - k - 4*d = 31, -2*k + 4*d = 14. Let w(v) = -v**3 - 16*v**2 - 19*v - 51. Let s = 15 - -37. Calculate the remainder when s is divided by w(k).
7
Suppose 3*m - 6 - 6 = 0. Suppose 4*c = -2*h + 21 + 5, -m*h + 4*c - 8 = 0. Suppose -198 = j - h*j. Calculate the remainder when j is divided by 25.
24
Calculate the remainder when 51 is divided by -3 + 30/42*7.
1
Suppose 0 = 3*r + 3, 2*k + 508 = 4*r - 496. Let u = k - -545. Let f = -3 + 17. Calculate the remainder when u is divided by f.
13
Suppose -d - 3*d = 168. Let r = 83 + d. Calculate the remainder when 125 + (6 - -4)/(-5 + 3) is divided by r.
38
Suppose -4 = 4*l, 12*l - 15*l - 77 = -2*t. What is the remainder when 1034 is divided by t?
35
Let u(y) = 22*y + 80. Let m(g) = 6*g**2 + 22*g - 78. Calculate the remainder when u(0) is divided by m(3).
38
Let j be (30/3)/((-8)/(-2) + -2). Suppose 19 + 191 = j*w. Calculate the remainder when 6*(1 + w/9) is divided by 9.
7
Let i(q) = 221*q - 121. Let x be i(4). Let y = x + -410. What is the remainder when y is divided by 51?
47
Calculate the remainder when 735 is divided by 370/(-280) + (-8)/(-14) - (-251)/4.
53
Suppose 2*o + 465 = 4*d - 1, 4*d + 506 = -2*o. Let j = o - -295. Calculate the remainder when j is divided by 31.
21
Let q = 6 - -4. Let d = 37 + -17. Let z = d - 2. Calculate the remainder when z is divided by q.
8
Let a(v) = 597*v - 5856. What is the remainder when a(11) is divided by 128?
71
Suppose m = q + 86, 0 = m - 6*m + 2*q + 439. Let b = 34 + m. What is the remainder when b is divided by 32?
27
Let s be 4/((-80)/(-15))*32. Let d(q) = q - 1. Let f be d(7). Suppose f*i = 3*i + s. Calculate the remainder when 14 is divided by i.
6
Let h be 3/2*(-5 - 78/(-18)). Calculate the remainder when (4 + h)*(-2167)/(-33) is divided by 50.
47
Suppose 5*q + 2*h = -46, -6*q - h = -3*q + 28. Calculate the remainder when 75 is divided by 833/42 - q/(-12).
18
Let w be -3*(61/(-3) - 2 - -3). Let m = 35 + w. Suppose 3*c - c + z = 49, 76 = 3*c + 4*z. Calculate the remainder when m is divided by c.
21
Let x = -26 + 33. Let c = x - -32. Suppose -3*p - 5*z = -55, 11*p + 4*z - 56 = 8*p. What is the remainder when c is divided by p?
19
Let w(m) = -30*m + 4*m - 2 + m - 25*m. What is the remainder when w(-4) is divided by 40?
38
Suppose 277*t - 2955 = 196*t + 366. What is the remainder when 633 is divided by t?
18
Let z = 18081 + -18039. What is the remainder when 3443 is divided by z?
41
Suppose -108*j + 439 = 223. Calculate the remainder when 373 is divided by j.
1
Suppose -i + 0*o + 35 = o, 2*o = -4*i + 130. Suppose -245 = -g - 4*z, -9*g + 2*z = -11*g + 478. Calculate the remainder when g is divided by i.
27
Let v = 12 + -43. Let d = 92 + v. What is the remainder when d is divided by ((-2)/6)/(3/(-144))?
13
Let a = -544 - -668. What is the remainder when 2971 is divided by a?
119
Let o(p) = 2*p**2 - 14*p + 3. Let x be o(7). Suppose -6 = x*f, 2*k - f - 34 = 40. What is the remainder when 51 is divided by k?
15
Let w = 567 + -260. Suppose 4*s - 3*q + 50 - w = 0, -2*q = -2. What is the remainder when s is divided by 28?
9
Let i = 136 - -140. Let n = i - 223. Calculate the remainder when 157 is divided by n.
51
Let i(m) be the third derivative of -m**4/8 + m**3/3 + 5*m**2 + 3*m. Calculate the remainder when i(-8) is divided by 9.
8
Let f = 82 - 76. Calculate the remainder when 4 - (-4 + -9 + f) is divided by 6.
5
Suppose -7*v - 22 + 85 = 0. Let r(p) = 24*p**2 - 26*p + 2*p - 3*p**3 + 4*p**3 + 17 + 11. Calculate the remainder when v is divided by r(-25).
0
Let r be (9/12)/(3 - 1820/608). Let a = 238 - r. Let v = 138 - a. What is the remainder when v is divided by 5?
4
Suppose -t - 5*d = -1351, t + 3*d - 34 - 1333 = 0. What is the remainder when t is divided by 338?
39
Suppose l - 12 = -0*l + 2*a, 3*l - 5*a = 39. Let f(i) = -i**3 - 25*i**2 - 27*i - 5. Let v = 29 + -53. What is the remainder when f(v) is divided by l?
13
Let c(p) = -45*p + 1134. What is the remainder when c(24) is divided by (-9)/2*(2 + 48/(-9))?
9
Let l be (2/7)/((-8)/(-112)). Let d be l/6*(-6984)/(-16). Suppose 703 + d = 7*f. What is the remainder when f is divided by 36?
34
Suppose 0 = -3*b + 103 + 62. Let q = -65 + b. Calculate the remainder when 39 is divided by q*(84/20)/(-7).
3
Let w be (-6)/39 + -1*(-7465)/(-65). Let a = w + 125. Calculate the remainder when 28 is divided by a.
8
Suppose 7*w - 8446 = -3475 + 7104. Calculate the remainder when w is divided by 54.
51
Let f(h) = -855*h**2 + 2 + 438*h**2 + 435*h**2 + 7*h. What is the remainder when f(-2) is divided by 21?
18
Suppose -224 = 1703*m - 1711*m. Calculate the remainder when -6 + 13 + -4 - 