by 17.
14
Let f = -43 + 99. Let c(m) = 383*m - 20270. What is the remainder when f is divided by c(53)?
27
Suppose -13*i = -14*i + 226. Let s = i - 160. What is the remainder when s is divided by 30?
6
Suppose 6*c - 87 = 5*o, -2*c + 202 - 224 = 4*o. Suppose -2*r = 2*r - 28. What is the remainder when r is divided by c?
0
What is the remainder when ((-1504426)/119)/(-2) - ((-330)/85 + 4) is divided by 51?
48
Let h(j) = 15*j**3 + 146*j**2 - 4*j + 1. What is the remainder when h(-3) is divided by 132?
130
Let r(c) = -2*c**3 + 7*c**2 + 10*c + 38. What is the remainder when 3548 is divided by r(5)?
12
Let x = 178 - 105. Let s = x + -10. Calculate the remainder when 249 is divided by s.
60
Let q = 108 + -86. Suppose -q*c + 934 = -100. Calculate the remainder when c is divided by (-189)/(-15) - (-3)/(-5).
11
Let w = -9355 - -9512. Calculate the remainder when 476 is divided by w.
5
Suppose 3*w + 5*c = -252, -54*w + c - 168 = -52*w. Let o = -47 - -24. Let q = o - w. Calculate the remainder when 120 is divided by q.
59
Let k(m) = 8*m - 72. Let o be k(9). Suppose 5*a + o*x - 62 = 4*x, 2 = x. What is the remainder when (18/(-7))/(9/(-84)) is divided by a?
10
Let h = -70 + 70. Suppose 18 = 2*q + g - 80, h = 3*g - 12. What is the remainder when q is divided by 37?
10
Let r(i) = 103*i**2 - 21*i + 16. Calculate the remainder when 464 is divided by r(1).
72
Let r(c) = -c + 13. Let n be r(3). Suppose -n = -7*g + 5*g. Suppose 5*y - 4*k = 265, 3*y + 0*k - 146 = g*k. What is the remainder when y is divided by 12?
9
Let k(n) = 26*n**2 + 437*n - 98. Let j be k(-17). Let h(r) = 10*r + 0*r**2 - 14 - 11 + r**2. Calculate the remainder when 46 is divided by h(j).
4
What is the remainder when 629 is divided by 2/(-24) + (-181176)/(-288)?
0
Let d = 677 - 673. Calculate the remainder when (13 - (4 + -8)) + -3 is divided by d.
2
Suppose 0 = 42*q + b - 21919 + 367, 2*q - 5*b - 996 = 0. Let g = 72 + 31. Calculate the remainder when q is divided by g.
101
Let b(y) = -6*y - 29*y**2 + 37*y**2 + 3 + 20*y + y**3 + 1. Let a be b(-6). Let t(h) = -h - 5. What is the remainder when 14 is divided by t(a)?
2
Suppose 4*x + 3*f + 1523 = 0, 0 = -4*x - x + 5*f - 1930. Let s = -182 - x. Suppose -6*a = -s + 39. Calculate the remainder when 78 is divided by a.
24
Let d(g) = 60*g - 17. Suppose n - 2 = -0*h - h, 2*n + 5*h = 7. Calculate the remainder when 79 is divided by d(n).
36
Suppose 1445 = 162*n - 1309. Calculate the remainder when 113 is divided by n.
11
Let h(l) = 48*l - 3. Calculate the remainder when 5344/(-120)*(-300)/24 + 0 - 4/6 is divided by h(2).
91
Suppose -3*p = 5*t - 439, 0 = 2*p - 0*p + t - 281. Let o = -2905 + 2940. Calculate the remainder when p is divided by o.
33
Let b(h) = h**2 - 30*h + 37. Let i be b(29). Calculate the remainder when (-118)/i*-5 + 2/8 is divided by 31.
12
Let x(j) = -j + 5. Let n be 3/4 - (-189)/(-28). Let l be x(n). Suppose -l*v = -13*v + 12. What is the remainder when 20 is divided by v?
2
Let y = 1 + 0. Calculate the remainder when (-445900)/(-5187) + 14/399 is divided by 46/1 - (y - 1).
40
Let k(t) = -t**2 - 1. Let l(u) = 2*u**2 + 7*u + 49. Let r(d) = -3*k(d) - l(d). Let w(y) = -4*y - 3. Calculate the remainder when r(-6) is divided by w(-5).
15
Suppose 5*a - 4*w = 2313, 175*w - 451 = -a + 170*w. Calculate the remainder when a is divided by 66.
65
Let x(s) = -58*s - 137. Let k = -62 - -82. What is the remainder when x(-4) is divided by k?
15
Let v be (5 - 1)*(99 + 5). Let w = v + -205. Calculate the remainder when w is divided by 20.
11
Suppose r + 2*p - 135 - 186 = 0, -4*r + 2*p + 1294 = 0. Calculate the remainder when r is divided by 289.
34
Suppose 761*i + 957 = 790*i. Calculate the remainder when 83 is divided by i.
17
Suppose 0 = 2*t + 2*p + 2*p + 20, 3*p = 4*t - 15. Suppose 17 = -3*d + 50. Calculate the remainder when 1*(-124)/(-4 + t) is divided by d.
9
Suppose 5*a = -35, -i + 3*a = 133 - 161. Calculate the remainder when (-158 + -1)*3/(-9) is divided by i.
4
Let o = 270 - 390. Calculate the remainder when 382 is divided by 11/((-220)/8)*o.
46
Let b = -2992 + 3064. What is the remainder when 285 is divided by b?
69
Suppose -2 = -g, -3*g = -4*s + 2*g - 18. Calculate the remainder when s*3/42 + (-1080)/(-14) is divided by ((-3)/(-6))/((-2)/(-156)).
38
Let j = -2677 - -3576. What is the remainder when j is divided by 41?
38
Suppose -3*q = p - 8472, 9*q + 6 = 12*q. Calculate the remainder when p is divided by 77.
73
Let w be (39/(-26))/((-2)/284). Let f = w - 99. Calculate the remainder when f is divided by 30.
24
Let c = -283 + 308. What is the remainder when 245 is divided by c?
20
Suppose 3*o + m + 4 = -10, 0 = -5*o - m - 24. Calculate the remainder when 173 is divided by (o - -1)*(-495)/180.
8
Suppose -5*v + 4*v = -0*v. Suppose 12*w + 26 = 2*r + 9*w, 5*w + 10 = v. Calculate the remainder when 116 is divided by r.
6
Let g(p) = -4*p**2 + 21*p - 89. Let x(l) = 5*l**2 - 22*l + 90. Let d(k) = -4*g(k) - 3*x(k). What is the remainder when 323 is divided by d(16)?
53
Suppose 30*l = 20*l + 30. What is the remainder when 17 is divided by l?
2
Let p(m) = m**3 - m + 380. Let n be p(0). Let g = -309 - -57. Let c = g + n. What is the remainder when c is divided by 26?
24
Suppose 2*s - 5*s = -135. Let h be (70/(-75) + (-8)/(-6))*8275. Calculate the remainder when 3/(h/(-665) + 5) is divided by s.
43
Let a = -8 - -17. Suppose 5*k + 2*o - 52 = 0, 12*k - 11*k + 5*o + 8 = 0. Calculate the remainder when k is divided by a.
3
Let j be (3 - 13/5) + 13811/35. Suppose -1123 = -26*s - j. Calculate the remainder when 194 is divided by s.
26
Let m = 3962 + -2980. Calculate the remainder when m is divided by 8.
6
Let s(m) = -17*m - 158. Let n = 407 - 419. Calculate the remainder when s(n) is divided by 29.
17
Calculate the remainder when 207 is divided by (16 - -5) + -27 - (-167 - -2).
48
Let g = 334 - 355. Let d(c) = c**3 + 22*c**2 + 18*c - 35. Calculate the remainder when d(g) is divided by 6.
4
Let i(n) = -n**3 - 8*n**2 - 32*n - 6. Calculate the remainder when 1008 is divided by i(-4).
22
Let v(o) = -o**3 + 6*o**2 + 9*o - 7. What is the remainder when 7806 is divided by v(4)?
59
Let y be (4/8 + -2)*-118. Suppose -2*s + 36 = 2*s. Suppose s*l + y = 12*l. Calculate the remainder when l is divided by 10.
9
Let g(x) = x**3 - 17*x**2 + 15*x + 23. Let p = 32 - 16. What is the remainder when 130 is divided by g(p)?
4
Let v = 35004 + -34992. Calculate the remainder when 3106 is divided by v.
10
Let v(m) = m**3 - 16*m**2 - 54*m - 53. Let u be v(19). Calculate the remainder when (2/u)/((-5)/(-3350)) is divided by 13.
10
Let m(k) = 2*k**2 - 2*k - 1. Let s(g) = -7*g**2 - 21*g - 42. Let u(y) = 3*m(y) + s(y). What is the remainder when 237 is divided by u(-24)?
21
Let x = 2156 + -1766. What is the remainder when 1175 is divided by x?
5
Suppose -6*f - 48 = -72. Let t(w) = w**3 + 24. Let b be t(0). Suppose f*s - 4*g + 2*g - 100 = 0, -g - b = -s. What is the remainder when 103 is divided by s?
25
What is the remainder when (-663954)/(-656) - 1/8 is divided by 250?
12
Let f = -1648 + -896. Calculate the remainder when f/(-21) + (-18)/126 is divided by 23.
6
Let h = 22 - 56. Let a = h + 34. What is the remainder when (a - 1 - 0) + 15 is divided by 9?
5
Let n(g) = -g**3 + 5*g**2 + 4*g - 6. Suppose 449 = 3*m + 4*o, 8*o = 4*m + 4*o - 608. Calculate the remainder when m is divided by n(5).
11
Let w = -241 - -430. Let x = w + -103. Let n = -3502 - -3525. What is the remainder when x is divided by n?
17
Suppose -4*t + 3*c = -757, -t + 8*c - 3*c = -185. Suppose t = 4*r + 6*r. What is the remainder when 26 is divided by r?
7
Let a(i) = -i**3 + 17*i**2 + 13*i + 17. Calculate the remainder when a(-5) is divided by 146.
64
Suppose -7*x - 1826 = -2015. Suppose x*g + 1982 = 7463. What is the remainder when g is divided by 17?
16
Let w(n) = -76*n**2 - 10*n - 9. Let p be w(-1). Let l = p - -89. What is the remainder when 25 is divided by l?
11
Suppose r - 427 = -6*k + 4*k, 4*k = -r + 859. Let d be (-2)/(-1) + k + 2. Suppose 4*w + 88 - d = 0. Calculate the remainder when 95 is divided by w.
29
Let d be 1 + -1*(-4)/12*438. Let a = d - 78. What is the remainder when a is divided by 37?
32
Let f(b) = -36 + 2 + 2*b**2 + 79*b - 78*b. Calculate the remainder when f(10) is divided by 45.
41
Let m(f) = f*