 -3*t - 2*n + 12, n - 13 = -4*t. Suppose 2*a + t*p = -4 + 8, a - p + 8 = 0. Calculate the remainder when 54 is divided by -1 + -5*(3 + a) - -26.
24
Suppose -25*o + 1195 = 220. What is the remainder when o is divided by -6 - (-25 - (4 - 9))?
11
Suppose 27*z - 7440 = -6*z - 60*z. What is the remainder when 5597 is divided by z?
77
Suppose 40*t + 139*t - 158 = 30630. Let s = -100 + 150. Calculate the remainder when t is divided by s.
22
Let j(f) = -f**2 + 29*f - 79. Suppose 0 = 3*x + 4*i - 81, 4*x + i + 66 = 7*x. Calculate the remainder when j(x) is divided by 10.
9
Let z = 92 - 53. Suppose 3*p + t - z = 3*t, p + t = 18. What is the remainder when 51 is divided by p?
6
Suppose -n + 2*s = -63, 2*s - 64 = 5*n - 387. What is the remainder when 111*(1/3 + 2) is divided by n?
64
Let p = -39149 - -39204. Calculate the remainder when 441 is divided by p.
1
Let q = -47 + 49. Suppose -q = 5*x - 3*x. Calculate the remainder when 60 is divided by (233/(-11))/x + 18/(-99).
18
Suppose s = 271 - 267. Let y(i) = -i**2 + 9*i - 3. Let o be y(8). Suppose -5*j + 135 = 2*u, s*j - o*u = 6*j - 54. What is the remainder when 76 is divided by j?
22
Let f = -8874 + 8883. Calculate the remainder when 3940 is divided by f.
7
Let z = 14418 + -14370. Calculate the remainder when 665 is divided by z.
41
Suppose 0 = 4*z - 16 + 32. Calculate the remainder when z + 2 + 406 - 6 is divided by 25.
23
Let m(t) = -4*t**2 + 2*t - 91. Let z be (-1 + 1)*(-4 - 18/(-4)). Let u be m(z). Let i = -42 - u. Calculate the remainder when 342 is divided by i.
48
Let h(w) = 0*w - 2*w - 2 + 1 + 3*w. Let k = 2074 + -2068. Calculate the remainder when k is divided by h(6).
1
Suppose 2*d - 112*d = 18*d - 596352. What is the remainder when d is divided by 18?
15
Let c = -10563 + 11127. What is the remainder when c is divided by 6?
0
Let q be (6/(-4))/(12 + (-714)/56). Suppose 0 = -4*w - x + 423, -4*x - 239 = -q*w + x. What is the remainder when w is divided by 100?
7
Let f(c) = -c**3 + 10*c**2 - 7*c + 7. Let z be f(9). Suppose -3*q - u + 6*u = -157, z = -5*u. Suppose -s + q = s. What is the remainder when 87 is divided by s?
21
Let h = 10180 - 6537. Calculate the remainder when 7293 is divided by h.
7
Let o = 4071 - 4055. What is the remainder when 1865 is divided by o?
9
Let i(z) = 110*z - 1. Let x(n) = 7*n**3 + n**2 + n - 1. Let g be x(1). Suppose 0 = -9*o + g*o + 28. Calculate the remainder when i(1) is divided by o.
25
Suppose -4*n + n = -5*t + 423, 2*n = 5*t - 287. Let d = n - -142. Calculate the remainder when 58 is divided by d.
4
Let r = -341 + 344. Calculate the remainder when r*(-5 - -20 - -4) is divided by 23.
11
Let w(v) = 5*v**2 + 17*v - 5. What is the remainder when w(-9) is divided by (-9)/15 - (-2680)/50 - 3?
47
Suppose 416 = 7*k - 39*k. Let l = 193 - k. Suppose 0 = 3*z + 2 - 80. Calculate the remainder when l is divided by z.
24
Let o = 19429 + -11000. What is the remainder when o is divided by 16?
13
Let p = 5 - -20. Let l(r) = -r**2 - 24*r - 102. Calculate the remainder when l(-10) is divided by p.
13
Suppose 5*x - 56 = -a, -64*a - 4*x + 49 = -63*a. Calculate the remainder when 459 is divided by a.
18
Suppose u + u = 184. Let s = -38426 + 38431. What is the remainder when u is divided by s?
2
Let b(a) = -a**2 + 22*a - 61. Suppose -90 = z - 6*z + 4*j, -4*j = 4*z - 72. Calculate the remainder when 505 is divided by b(z).
10
Suppose 9*c + 113 = 5. What is the remainder when 8 is divided by (-70)/(-28)*c/(-5)?
2
Suppose -10*q + 51 = 9641. Let c = q - -971. Calculate the remainder when 79 is divided by c.
7
Let w = -189 + 213. Suppose -7*d + 66 = w. Let g = 22 + -4. What is the remainder when g is divided by d?
0
Let l(f) = f**3 - f**2 + f + 2. Let u be 161/28 - (3/4 - 1). Suppose u*h = 249 + 63. What is the remainder when h is divided by l(2)?
4
Suppose -23*b + 31*b - 540 = -46*b. Calculate the remainder when 1746 is divided by b.
6
Let m(a) = 3*a**2 - 163*a + 2111. What is the remainder when 4109 is divided by m(21)?
6
Let r(v) = 30*v - 125. Calculate the remainder when 1561 is divided by r(5).
11
Let j = 4026 + -2953. Calculate the remainder when j is divided by 63.
2
Let i(p) = -5*p**3 - 2*p**2 - 5*p - 12. Let y be i(-2). Suppose 26 = 3*l + j, 2*j + 8 = 4*l - y. What is the remainder when 42 is divided by l?
6
What is the remainder when 7/(392/(-16))*265496/(-22) is divided by 25?
23
Let q = 5830 - 5771. Calculate the remainder when 431 is divided by q.
18
Suppose 0 = 49*m - 54*m. Suppose m = 4*k - 4, k = -2*s - 5 - 2. What is the remainder when 5772/36 - s/(-3) is divided by 20?
19
Suppose 2*s - s - 12 = -3*r, -r - 12 = -5*s. What is the remainder when (-2 + -3)/((-7)/(-2) - 4) is divided by r?
1
Let l = 2135 + -1387. Suppose -l + 217 = -9*w. Let x(t) = t**3 - 11*t**2 - 46*t + 23. What is the remainder when x(15) is divided by w?
56
Let v = -501 - -2116. What is the remainder when v is divided by 77?
75
Suppose -3*u = 4*c - 9, c + 7 = 5*u - 8. Suppose -q - 3*q + 3*q = c. Suppose q = 12*s - 404 - 76. Calculate the remainder when 158 is divided by s.
38
Let u = 2087 - 2068. What is the remainder when 303 is divided by u?
18
Let i(j) = 3*j - 24. Let l be i(9). Suppose 4*p - 327 - 8 = -5*u, -l*p + 285 = -3*u. What is the remainder when p is divided by 32?
26
Suppose -174 = 12*o - 15*o. Let y = 61 - o. Suppose -y*i + 131 = 4*k, -4*i + 133 = -0*i - 3*k. What is the remainder when i is divided by 13?
11
Calculate the remainder when 1059 is divided by ((-32)/(-48)*(-6)/(-1))/((-2)/(-19)).
33
Let w = 5452 + -5435. Calculate the remainder when 904 is divided by w.
3
Suppose -4647*v + 466*v + 148700 = 1767*v. Let n(o) = 70*o - 1. What is the remainder when n(2) is divided by v?
14
Suppose 5*h - 2*w = 33, 3*h - 4*w = 9 + 22. Suppose -4*i + k = -96, 72 = 8*i - 4*i + h*k. Calculate the remainder when 65 is divided by i.
19
Let h(i) = -5*i. Let a = -17606 + 17643. Calculate the remainder when a is divided by h(-1).
2
Suppose -3*r + v + 3898 = 0, 4*v + 1385 = 4*r - 3807. What is the remainder when r is divided by 93?
91
Suppose -7*n + 11*n - m = 116, 5*n = 3*m + 152. Let d(g) = -g + 34. Let u be d(n). Suppose -u*r + 38 = -40. Calculate the remainder when 35 is divided by r.
9
Let k = -887 + 5986. Calculate the remainder when k is divided by 30.
29
Suppose 29*l + 16 = 30*l. Suppose l*k = 12*k + 636. What is the remainder when k is divided by 6?
3
Suppose 137*l = 138*l - 3*m - 560, 2*l - 1112 = 5*m. Calculate the remainder when l is divided by 97.
51
Let o = 11246 + -5580. Calculate the remainder when o is divided by 81.
77
Suppose 30*p - 34*p = 4*x - 1420, 1055 = 3*p - 2*x. Suppose 4*t + b = p, 4*t = 5*b + 453 - 130. Calculate the remainder when t is divided by 37.
13
Let q(r) = -r**3 + r - 3. Let n be q(3). Let b = 60 + n. Calculate the remainder when b is divided by 135/6*84/105.
15
What is the remainder when 6677/77 + (-2)/(-7) is divided by 47 - 50 - (-10 + -3)?
7
Suppose 76483*x - 184 = 76460*x. Calculate the remainder when 56 is divided by x.
0
Let d = -427 + 453. Suppose d*w + 3*w - 9686 = 0. What is the remainder when w is divided by 13?
9
Let v(l) = l**3 + 7*l**2 - l - 4. Let p be v(-7). Suppose 42 = 3*b + p*b. Calculate the remainder when 498/15 - 2/10 is divided by b.
5
Let h = 40 - 37. Suppose 21*p = -142 + 919. Calculate the remainder when p is divided by h.
1
Suppose 0 = 3*o - 4*a + 11, -o + 18 = 3*a - 0. Let z = 24 - 17. Suppose -o*s + z*s - 268 = 0. What is the remainder when s is divided by 17?
16
Suppose 3*i + 2*n = 161, -3*i - 4*n + 253 = 90. Let d = 51 - i. What is the remainder when (-4)/(20/(-5)) + (-200)/d is divided by 26?
23
Let q = 16126 + -16022. Calculate the remainder when 370 is divided by q.
58
Let h(o) = o**2 - 2*o**2 + 69*o - 55*o - 167 - 65*o. Calculate the remainder when 313 is divided by h(-46).
61
Let b(a) = 32*a**2 - 2*a - 2. Let p be b(-2). Let o be (2 - 6) + 0 + p. Calculate the remainder when 13/2*o/7 is divided by 31.
24
Let p be (3/(-2))/((-27)/396). Suppose 5*n - 4*x - p - 128 = 0, -5*n - 2*x + 150 = 0. Calculate the remainder when 116 is divided by n.
26
Suppose 1067 = z - 3*q, 5*z - 2*q = 1853 + 3508. What is the remainder when z is divided by 60?
53
Suppose -798 = -4*g - 4*x + 234, -9 = -3*x. Suppose 18*j = 13*j + g. Calculate the remainder when 145