he remainder when m is divided by 8.
4
Let s = 22 + 8. Let m = s - 12. Suppose 0 = 3*d - 2*t - 121 + 8, -2*t + 167 = 5*d. What is the remainder when d is divided by m?
17
Let q be 2*(290/4 + 6). Suppose 7*m = q - 31. What is the remainder when 83 is divided by m?
11
Let c be (-1935)/4 - (-14 + (-318)/(-24)). What is the remainder when 193 is divided by (-69)/c + (-2)/((-14)/97)?
11
Let q(t) = -t**3 - 11*t**2 - 2*t + 43. Let z be q(5). Let j = 804 + z. Calculate the remainder when j is divided by 73.
72
Let b(g) = -2*g**3 - 10*g**2 - 5*g + 12. Let n be b(-4). Suppose n = 3*x - 57 - 75. Suppose d = -2*d + 27. Calculate the remainder when x is divided by d.
8
Let t be (-2)/(-3 + 645/213). Let p = t - -111. Calculate the remainder when 150 is divided by p.
30
Suppose -3*l + 3*k + 177 = 0, -5*k + 4*k - 183 = -3*l. What is the remainder when l is divided by 2/8 - 1106/(-56)?
2
Let k = -38 - -63. Suppose -2*v + l = 4*l - 65, -k = -v + l. What is the remainder when 1/2*436/2 is divided by v?
25
Let r(k) = 5*k**3 - 79*k**2 - 15*k - 6. Calculate the remainder when 659 is divided by r(16).
9
Suppose -r = -3*c + 1, -5*c + 3 = -2. Calculate the remainder when (-1)/(-3) + 1389*r/9 is divided by 5.
4
Let n(l) = -2*l - 10. Suppose -5*x + 3 = -17. Let a(d) = 2*d + 11. Let p(z) = x*a(z) + 5*n(z). Calculate the remainder when 41 is divided by p(-10).
13
Let r(b) = 13*b**2 + 67*b + 28. Let c(t) = -7*t**2 - 34*t - 15. Let s(d) = 11*c(d) + 6*r(d). Calculate the remainder when s(-30) is divided by 22.
19
Suppose -909 + 661 = -4*u. What is the remainder when u is divided by 20?
2
Let s(y) = 3*y**2 - 4*y + 3. Let j(w) = -3*w**3 + 18*w**2 + 363*w + 23. What is the remainder when j(-9) is divided by s(-4)?
66
Let a(l) = -40*l + 3. Suppose h - 3*i - 7 = 16, 3*h + 4*i - 4 = 0. What is the remainder when a(-1) is divided by h/((6/3)/4*2)?
3
What is the remainder when 5 + 1 + -2 - (92 + -1454) is divided by 193?
15
Let c(g) = -g**3 + 10*g**2 - 19*g - 1. Suppose 5*t - 2*m = -3*m - 105, 4*t + 98 = 2*m. Let p = t + 38. Calculate the remainder when c(6) is divided by p.
13
Let q(v) = -v**2 - 82*v + 901. Calculate the remainder when q(-63) is divided by 30.
28
Let a = -132 - -134. Let f be 4/40 + (-58)/(-20). Suppose -2*w + 38 = 3*x, -f*w + 67 = -0*x + a*x. Calculate the remainder when 99 is divided by w.
24
Let l(m) = -85*m - 587. Calculate the remainder when 161 is divided by l(-7).
1
Suppose 2*a + 42019 = 5*c - 8782, 0 = 2*c + 4*a - 20354. Calculate the remainder when c is divided by 19.
17
Suppose 0 = 387*n - 92*n - 93810. Calculate the remainder when 927 is divided by n.
291
What is the remainder when 6477 is divided by 502/56 + (-71)/284 - (-4)/14?
6
Let t be 108/(-198) + (-6496)/(-11). Let d = -586 + t. What is the remainder when 74 is divided by d?
2
Suppose 29*o + 3248 = 40*o + 47*o. What is the remainder when 229 is divided by o?
5
Let d = 45 + -52. Let y(g) = -g**3 - 6*g**2 + 9*g + 10. Let o be y(d). What is the remainder when o + (-28)/(-4) + 58 is divided by 32?
29
Let n(s) = -s**3 - 24*s**2 + 27*s + 61. Suppose 21*g + 304 = -221. What is the remainder when 382 is divided by n(g)?
8
Let f = 2279 + -2219. Calculate the remainder when f is divided by 7.
4
Suppose 2575 = 40*c - 57*c + 42*c. What is the remainder when c is divided by (-84)/9*(-36)/6?
47
Let o = 186 - 106. Suppose 0 = -51*c + o*c - 522. What is the remainder when 98 is divided by c?
8
Let g = 44 - 42. Let b be -1 + 0 + 3 + (g - 1). Suppose -88 - 14 = -b*f. What is the remainder when 100 is divided by f?
32
Suppose 5*d - 2*p = 715, -80 - 63 = -d - 4*p. Calculate the remainder when 1286 is divided by d.
142
Suppose 0 = -19*p + 22*p - 9. Let d(r) = -14*r + 6. Let k(b) = -70*b + 31. Let z(m) = -11*d(m) + 2*k(m). Calculate the remainder when z(p) is divided by 14.
10
Suppose -21 + 10 = -f, -5*c + 2*f + 218 = 0. Let g = -79 + 253. What is the remainder when g is divided by c?
30
Let h(m) = -58*m. Let t be h(1). Let q = 73 + t. Suppose -4*r - 3*i = -4*i - q, 0 = -r + 4*i. What is the remainder when 6 is divided by r?
2
Let o = -5490 - -5562. What is the remainder when 125 is divided by o?
53
Suppose 3*q - 8 = u, 5*u - 17 = -5*q + q. Suppose 5*g = -4*o + 72, -3*o = q*g + o - 48. Let s = 18 - 13. What is the remainder when g is divided by s?
2
Let g = 9764 + -9392. What is the remainder when g is divided by 100?
72
Let m = 422 + -401. What is the remainder when 110 is divided by m?
5
Calculate the remainder when 1060 is divided by 72 + (4959/(-855) - (-2 + 0)/(-10)).
4
Let t = 14390 - 13858. Calculate the remainder when 1068 is divided by t.
4
Suppose 37*k - 9055 + 212 = 0. What is the remainder when k is divided by 9?
5
Let o(r) = -6*r + 109. Calculate the remainder when 1103 is divided by o(5).
76
Let o = -157 - -54. Let g = -100 - o. Suppose -3*a - 3*x = -57, 4*a - 2*x + g*x - 91 = 0. Calculate the remainder when 69 is divided by a.
21
Let k be 6/8 + 2802/(-24). Let w = -79 - k. Let l = -17 + 161. Calculate the remainder when l is divided by w.
33
Suppose -5*k = -k - 8. Let b(a) = a**3 + 7*a**2 - 3*a + 60. Calculate the remainder when k*(-2)/4*-76 is divided by b(-8).
16
Suppose 0*y + 4*y = 24. Suppose 7*a + y*a = -312. Let g = a - -46. Calculate the remainder when 37 is divided by g.
15
Let r = 3 + 6. Suppose 13 = 2*g - 4*s + s, -g = -4*s - r. Let a(y) = -2*y**2 + 15*y - 8. What is the remainder when a(6) is divided by g?
0
Let c = -690 + 1387. Let g(n) = n**3 - 9*n**2 + 11*n - 2. What is the remainder when g(8) is divided by c/51 + 2/(-3)?
9
Suppose 2*w + 6 = 4*t, -3*t + 10 = -w + 4. Let v = w - -2. Let a(b) = 2*b**2 + 4*b - 9. What is the remainder when a(6) is divided by v?
2
Suppose 20*q - 17*q = 4*j - 53, 5*q + 48 = 3*j. Let a = -18 + 42. Calculate the remainder when 2082/a - (-3)/12 is divided by j.
10
Suppose 5*j + 11 = 156. Let w = 364 + -737. Let l = -290 - w. Calculate the remainder when l is divided by j.
25
What is the remainder when 51 is divided by 15 + (-320)/24 + 7/3?
3
Suppose -h = -6*z + 10*z + 484, 605 = -5*z + 5*h. Let u = -76 - z. Let k(g) = 3*g**2 + 2*g. Calculate the remainder when u is divided by k(-2).
5
Let i(a) = -5*a**3 - 4*a**2 - 2*a - 3. Let d = -457 - -644. Let m = 309 - d. What is the remainder when m is divided by i(-2)?
22
Let r(p) = -54*p + 5557. What is the remainder when 454 is divided by r(102)?
13
Let c(v) = -v**2 + 16 + 7*v**2 - 5*v**2 - 2*v + 9. What is the remainder when c(-5) is divided by 11?
5
Let m = 400 + -395. Suppose 3*u + 56 = 7*u + 2*j, 0 = -m*j + 10. Calculate the remainder when 44 is divided by u.
5
Let o(y) = -y**3 - 20*y**2 - 40*y - 60. What is the remainder when 1062 is divided by o(-18)?
6
Suppose p = -3*n + 1019, -3*p + 3099 = -13*n + 8*n. Calculate the remainder when p is divided by 7.
6
What is the remainder when (891/55 + -7)/((-1)/(-70)) is divided by 36?
32
Let t = -1140 - -1290. What is the remainder when 460 is divided by t?
10
Let w be 16 - (-7 + 1)/(-3). Suppose -w - 898 = -6*s. Calculate the remainder when s is divided by 53.
46
Suppose -5*f = -2*f - 12. Let w(r) = r**2 - 3*r + 1. Let s(n) = -5*n + 60. What is the remainder when s(9) is divided by w(f)?
0
Suppose -2*s + 3*k + 1045 = -2484, -s + 1751 = -3*k. Calculate the remainder when s is divided by 91.
49
Calculate the remainder when (-4)/(-6)*(-2244)/85*510/(-12) is divided by 367.
14
Suppose 6 = 4*y - 78. Let z(p) = -13*p - 13. Let o be z(-14). Suppose 4*v - o = 155. What is the remainder when v is divided by y?
18
Let t(f) = -69*f + 9402. Calculate the remainder when t(29) is divided by 285.
276
Suppose 2*g - 114 = -v, -v + 531 = 4*v - 3*g. Let c be ((-1786)/(-152))/(2/(-24)). Let o = -113 - c. Calculate the remainder when v is divided by o.
24
Suppose 0 = 5*w, -w + 3*w = 2*o. Suppose 0*i - 76 = -5*a + 4*i, o = -4*a + 3*i + 61. What is the remainder when (45 - 0)/(6/4) is divided by a?
14
Let s = -106 - -109. Suppose -8*x + s*x = -255. Suppose x + 9 = 3*g. What is the remainder when 39 is divided by g?
19
Suppose 4*u - 11 - 1 = 0. Suppose -2 = u*r - 5*r. Suppose 4*y + 20 = 2*d, -14 = 3*d + 6*y - y. What is the remainder when d is divided by r?
0
Let k be 4 + (-150)/36 - (-86)/12. Let z be (37 - (k - 14))/(0 - -1). Let p = z - -30. Calculate the remainder when p is divided by 19.
17