the remainder when m(9) is divided by 109.
8
Let f = -109 + 29. Let v = 133 + f. Let k = 431 + -423. Calculate the remainder when v is divided by k.
5
Suppose -129525 = -682*h - 103*h. What is the remainder when 501 is divided by h?
6
Let h(l) = -68*l - 2923. What is the remainder when 325 is divided by h(-46)?
120
Suppose 2*c = -o + 3 + 1, -2*o + 5*c = -35. Suppose 9*a = 14*a - o. Suppose -8 = 4*m, 0 = -3*j - a*m + 5*m + 15. What is the remainder when 3 is divided by j?
0
Suppose 0 = 5*f + 5*i - 5595, -277*i - 3429 = -3*f - 272*i. What is the remainder when f is divided by 36?
12
Suppose 0 = 8*i - 31 + 15. What is the remainder when 0 + i/(-7) + (-3513)/(-21) is divided by 43?
38
Let u(j) = j**3 + 3*j**2 + 13*j + 143. What is the remainder when 356 is divided by u(-5)?
20
Let d(i) = 38*i**2 - 3*i + 8. Let w be 1*-2 + (13 - 8). Calculate the remainder when d(w) is divided by 49.
47
Let n(s) = -s**2 - 4*s + 17. Let g be n(-6). Suppose y = -25 + g. Let f = 42 + y. Calculate the remainder when 63 is divided by f.
19
Calculate the remainder when 257 is divided by 16/64*68 + 7.
17
Let a(r) = 30*r**2 - r + 13. What is the remainder when 417 is divided by a(1)?
39
Calculate the remainder when 12/(-18)*1*7884/(-72) is divided by (-1)/3 + 49/3.
9
What is the remainder when 308 is divided by (13 + (-42)/3)*-79?
71
Let c = -14 + 33. Let w = -157766 + 157799. Calculate the remainder when w is divided by c.
14
Suppose -3*x - v = 2*x + 26, -11 = 3*x - 4*v. What is the remainder when 0 + x/(-3)*51 is divided by -2 + 49 + (0 - 3)?
41
Calculate the remainder when (28734/(-6))/(-1) - (7 + -10) is divided by 282.
280
Suppose 5 = 10*k - 25. Suppose 15 = -k*w + 153. Suppose -c + z + 10 = -w, -4*c + z = -212. What is the remainder when c is divided by 7?
3
Let i(v) = 85*v**2 - 168*v + 336. What is the remainder when i(2) is divided by 124?
92
Let s = 64 + -56. Suppose s = -5*t + 9*t. Suppose -u = -t*h + 21 + 20, 4*u - 135 = -5*h. What is the remainder when 204 is divided by h?
20
Let o be ((-2)/(-12) + (-12)/18)*-44. Let a(w) = -w - 4. Let h be a(-6). Let n = h + o. What is the remainder when 119 is divided by n?
23
Suppose 24 = -2*i + 10*i. Suppose 8*c - 264 = -i*c. Calculate the remainder when 262 is divided by c.
22
Suppose -15*s - 342 = -39*s + 15*s. Suppose -352 = -2*c + 328. Calculate the remainder when c is divided by s.
36
Let q(s) = 8*s + 237. Let t(z) = 2*z + 59. Let y(o) = -2*q(o) + 9*t(o). Calculate the remainder when y(17) is divided by 25.
16
Suppose -12*s + 13*s - 108 = -c, -5*c - 4*s = -547. Calculate the remainder when c is divided by (-58)/(0 + (-4 - -2)).
28
Let x(v) = -v**2 + 52*v + 1367. What is the remainder when 3 + 60 - (0 - 0) is divided by x(71)?
9
Let l = 425 - 423. Suppose 0 = -6*t + 2*t + 16. Suppose 7 = 4*a - a + t*x, 0 = l*a - 2*x - 28. Calculate the remainder when 35 is divided by a.
8
Let k be (1*(-4 - -4))/2. Let p(c) = -3*c + 31. Let u be p(k). What is the remainder when 362 is divided by (u - -8)/(3/4)?
50
Suppose 2*n - 8 = -6*n. Let f = 117 - 124. Let g = n - f. Calculate the remainder when 15 is divided by g.
7
Let m(l) = l**3 + 8*l**2 + 14*l + 18. Let g be m(-8). Let q = g - -50. Let u = q + 77. What is the remainder when u is divided by 3?
0
Suppose 39 = -5*v + 3*u + 117, -4*v = 4*u - 56. Let g = -98 - -334. What is the remainder when g is divided by v?
11
Calculate the remainder when (-360)/(-810) - 13812/(-27) is divided by 102.
2
Suppose -177 = 145*w - 4183 - 489. Calculate the remainder when w is divided by 3.
1
Let z = 8 - -37. What is the remainder when z is divided by (-2431)/(-85) - 7/(-5)?
15
Suppose 2*x + 24 = 6*x. Let i(f) = 8 + 8 - 5 + 5*f. Calculate the remainder when x is divided by i(-2).
0
Let t = 103 - 80. Suppose -j - t = -4*x + 4*j, x - 3 = 4*j. What is the remainder when 7 is divided by x?
0
Let c(n) = 5*n + 175. Let i be c(-32). Suppose -i*x + 35*x - 180 = 0. Suppose -4*o = o - 30. What is the remainder when x is divided by o?
3
Let r be (24/(-21))/(2/(-7)). Suppose -4*k + 392 = -r*m - 100, -m + 115 = k. Suppose 2*b + 2*b = 60. What is the remainder when k is divided by b?
14
What is the remainder when 936 is divided by (119/(-170) - -1 - 1/2)*-235?
43
Let t be (5400/35)/6 + (-2)/(-7). Let b = t - -23. Calculate the remainder when b is divided by 8.
1
Let o = -48 - -61. Suppose -o*y + 2250 = -844. What is the remainder when y is divided by 16?
14
Let w = -766 - -789. Calculate the remainder when 4093 is divided by w.
22
Suppose 9*d = 8*d + 3. Suppose -96 = -d*q - q. Let l = -108 + 200. Calculate the remainder when l is divided by q.
20
Let y(n) = -2*n**2 - 40*n - 10. Let j be y(-10). Suppose -5*x - 154 = -3*d, 5*d + x = -4*x + j. Calculate the remainder when d is divided by 10.
3
Let k = -7281 + 7297. What is the remainder when 799 is divided by k?
15
Let s = -20 + 14. Let y(i) = -i**2 - 9*i - 5. Let d(k) = 9*k**2 + 108*k + 22. What is the remainder when d(-12) is divided by y(s)?
9
Suppose -6901*h + 6939*h = 4408. Calculate the remainder when 413 is divided by h.
65
Let s = -195 - -194. Let n(g) = -44*g + 31. Let u(h) = 19*h**2 - h - 1. What is the remainder when n(s) is divided by u(-1)?
18
Suppose 15*b + 2 = 4*r + 21*b, 2*r - 6 = -2*b. What is the remainder when 693 is divided by r?
5
Let f(m) = -m**3 + 123*m**2 + 1479*m - 598. Suppose 0*w - 2*w - 1414 = -5*l, -3*w = 5*l - 1404. Calculate the remainder when l is divided by f(134).
66
Suppose 0 = 2*c + 4, 3*i = -3*c - c + 61. Suppose -f + 5*l = -0*f - i, 47 = 3*f - 4*l. Calculate the remainder when -168*((-220)/35 + 6) is divided by f.
9
Let d(g) = 15*g**2 + 400*g + 1569. Suppose 60 = 5*c - c. What is the remainder when d(-4) is divided by c?
14
Let c be (-50)/8*(-13 - -9). What is the remainder when 57 is divided by 90/2 - (-5)/(c/15)?
9
Let j(n) = 98*n + 483. Calculate the remainder when j(-4) is divided by 68.
23
Let s(b) = 3*b**2 + 12*b + 23. Let u = 290 + -293. Let g(i) = 12*i + 2. Calculate the remainder when g(2) is divided by s(u).
12
Let k = -1165 + 1265. Calculate the remainder when 176 is divided by k.
76
Suppose -3*q - 5*d - 1447 = -6*d, 3*d = 3. Let w = 514 + q. What is the remainder when w is divided by 29?
3
Suppose 2*q + q = 72. What is the remainder when ((-13230)/10)/(-7) - (11 - 11) is divided by q?
21
Let d(z) = -2*z**3 + 15*z**2 + 27*z + 1. Let g(y) = y**3 + 8*y**2 + 7*y - 8. What is the remainder when d(8) is divided by g(-6)?
21
Let l = -5402 + 7569. Calculate the remainder when l is divided by 13.
9
Calculate the remainder when ((-2)/(-6))/(45*46/602370) is divided by -38*((-10)/4)/5.
2
Let w(a) = 347*a + 3582. What is the remainder when 2680 is divided by w(-10)?
104
Suppose -12*y = 5*y + y - 7974. What is the remainder when y is divided by 106?
19
Let q(s) = -s**2 - 8*s + 7. Let o be 12/20*(-20)/(-6). Suppose -2*m + 1 = -o*k - 11, 0 = -3*m - 3*k + 42. What is the remainder when q(-7) is divided by m?
4
Suppose 0*n = 3*n - 87. Let s(j) = -12*j + 20. Let i be s(-3). Suppose 5*v = -k + i, 3*v - 3*k = 1 + 29. What is the remainder when n is divided by v?
7
Let b(x) = 7*x**2 + 39*x + 168. What is the remainder when b(-25) is divided by 35?
33
Let w = -645 - -676. What is the remainder when 826 is divided by w?
20
Let z = 15889 + -4466. Calculate the remainder when z is divided by 29.
26
Suppose -351*k = -354*k - 4*f + 1992, 665 = k + f. Calculate the remainder when k is divided by 14.
10
Suppose -r + 0*r = -1. Let l = r - -81. Let p = 674 + -660. Calculate the remainder when l is divided by p.
12
Let t(q) = -q - 10. Let x(h) = 1. Let j(c) = 1. Let g(b) = 4*j(b) - 3*x(b). Let v(i) = 3*g(i) + t(i). Calculate the remainder when 27 is divided by v(-11).
3
Let c(k) = 37*k**3 - 2*k**2 - 3*k + 7. Calculate the remainder when c(2) is divided by 53.
24
Suppose -189448 + 63960 = -174*n + 82*n. Calculate the remainder when n is divided by 39.
38
What is the remainder when 621 is divided by 8 - (0 + 4) - 2/((-4)/590)?
23
What is the remainder when 6370 is divided by (0 + 4 + -7)*(-2 - (-265)/(-15))?
57
Suppose -53*d - 18*d = -3763. Calculate the remainder when 565 is divided by d.
35
Suppose -5*b = -f + 26 - 4, 4*f = 4*b + 40. Suppose 7*k - f*k = 5*k. Suppose k = -4*j + 8*j - 364. Calculate the remainder when j is divided by 23.
22
Let i =