r when n is divided by 18.
6
Suppose 0 = 4*k - 5*j + 100, 8*k - 11*k - 64 = -j. Let p(v) = v**2 + 19*v + 56. What is the remainder when p(k) is divided by 9?
4
Let r = -13 - -25. Let b(k) = -48*k - 104. Let c be b(-16). Let d = c - 582. What is the remainder when d is divided by r?
10
Suppose 207*k + 23*k + 298*k + 732 = 2844. Suppose 28 = 4*l - 12. Let n = l - 3. What is the remainder when n is divided by k?
3
Suppose 4*v = v + 2*r + 480, 795 = 5*v - 5*r. Let j = v + -97. Calculate the remainder when 185 is divided by j.
55
Let t = -44 + 42. Let v be t/(-11) - 84/(-22). Suppose 72 + 160 = v*n. Calculate the remainder when n is divided by 20.
18
Suppose 0 = -b - 5*j + 38, -13 + 3 = -b + 2*j. Calculate the remainder when 3905 is divided by b.
17
Let l = -7229 - -7520. Calculate the remainder when l is divided by 34.
19
Let g = -261890 - -261977. Calculate the remainder when g is divided by 73/2 - 2/(-4).
13
Let n(d) = -d**3 + 5*d**2 + 20. Let r be (1 - 2 - -6)*(29 + -28). What is the remainder when 71 is divided by n(r)?
11
Let f(x) = x**3 - 14*x**2 + 17*x - 46. Let d be f(13). Suppose d*l + 636 = 18*l. What is the remainder when 317 is divided by l?
52
What is the remainder when (0 - -2 - -164)*1 is divided by 74?
18
Suppose -4*h - 9*i + 13*i = -532, 0 = 3*i + 15. Calculate the remainder when h is divided by 15.
8
Let q = 4974 + -2597. Calculate the remainder when q is divided by 170.
167
Suppose -8152 = -5*s - l, -5*s + 54*l = 49*l - 8140. What is the remainder when s is divided by 23?
20
Calculate the remainder when 834 is divided by 266/6 + (10/(-12))/((-52)/104).
6
Suppose 9*c + 2793 = -2382. Let b = c + 621. What is the remainder when 125 is divided by b?
33
Let g be (-1)/6 - (-19881)/54. Suppose 23*w - g = -0*w. What is the remainder when 95 is divided by w?
15
Suppose 3*y + 4*r - 2*r - 235 = 0, 2*r = -8. Suppose 4*l - l = 78. What is the remainder when y is divided by (-230)/(-8) + -1 - l/(-104)?
25
Suppose -k - y = -6 - 4, -3*k + 3*y = 0. Let i(z) = -z**3 - 25*z**2 - 54*z - 213. Let m be i(-23). What is the remainder when -1 - 2 - (m - k) is divided by 17?
14
Suppose 8 = 6*o - 2*o. Suppose 0 = -2*t - o, t = 5*m - 4*m + 46. Let g = m + 58. What is the remainder when 51 is divided by g?
7
Let g(y) = -y + 6. Let s be g(2). Suppose -s*f + 24 = -40. Suppose f*t = 15*t + 44. Calculate the remainder when t is divided by 9.
8
Let i = -11493 - -14299. Calculate the remainder when 8423 is divided by i.
5
Let x = -243 + 247. Suppose 4743 = x*w + 13*w. What is the remainder when w is divided by 94?
91
Suppose -x + 3 = 0, -w + 10 = x - 10. Calculate the remainder when 195 is divided by w.
8
Let g(f) = 2*f**2 + 127*f + 1358. Calculate the remainder when 235 is divided by g(-12).
113
Suppose 8*g = 3*g + 15. Suppose 8*h = 3*h + 610. Suppose g*p - 124 = h. Calculate the remainder when p is divided by 14.
12
Suppose -182 = -4*z + 4*p - 122, 4*z = -4*p + 84. Suppose 4*t - 5*t = -12. What is the remainder when z is divided by t?
6
Let w = -10 + 14. Suppose w*z + 29 = n + 6, 2*n - 58 = 2*z. Calculate the remainder when ((-22)/(-44))/(2 + (-718)/360) is divided by n.
28
Suppose 4*r + z + 196 - 612 = 0, 2*z = -5*r + 520. What is the remainder when r is divided by 24?
8
Let m = -10704 + 13580. What is the remainder when m is divided by 4?
0
Let f(h) = -13*h - 100. What is the remainder when (1 - -1)*(-2)/(-4) + 145 is divided by f(-10)?
26
Calculate the remainder when 398 is divided by 802/10 + 2/(-10).
78
Suppose 8*v - 64 = 16. Suppose 4*y = u - v, 0 = y + 3*y - 16. What is the remainder when 205 is divided by u?
23
Let p = 1465 - -90. Calculate the remainder when p is divided by 30.
25
Suppose -1436 + 215 = -105*s + 459. Calculate the remainder when (-6)/8 + (-355)/(-4) is divided by s.
8
Let o(j) = 1. Let i(s) = -4*s - 35. Let b(q) = i(q) + 2*o(q). Let h be b(-7). Calculate the remainder when 106 is divided by (-1 + h)/(9/(-54)).
34
Let f = -113 + 115. Calculate the remainder when (f/(-4)*2)/(1/(-58)) is divided by 41/2 + (-1)/2.
18
Suppose y = -3*t + 121, 2*y - 6*y - 4*t = -476. Let k(d) = -565*d + 14161. Calculate the remainder when y is divided by k(25).
10
Let p(l) = 66*l - 1697. Calculate the remainder when p(27) is divided by 30.
25
Let q be 0/(-2)*(-1 - 18/(-12)). Let i(k) = 2*k + 9. Let w(j) = -j - 5. Let n(g) = -2*i(g) - 5*w(g). Calculate the remainder when 41 is divided by n(q).
6
Let v be 2 + 2 + 4 + (-99)/(-3). Let u = v - -9. Calculate the remainder when u is divided by 4.
2
Suppose -747*y - 16520 = -787*y. Calculate the remainder when y is divided by 238.
175
Let w = 3 + -2. Let x be (w - 1)/(9/9). What is the remainder when 38 is divided by (1*(1 + x))/((-7)/(-77))?
5
Let z = 48 + 1580. Calculate the remainder when z is divided by 8.
4
Let m = 161 - -68. What is the remainder when m is divided by 33?
31
Suppose -17*w + 14*w = -25*w + 1298. What is the remainder when w is divided by 18?
5
What is the remainder when 624 is divided by (-12)/(-22) + (-65700)/(-550)?
24
Let d = 63 + -40. Let v(w) = -w**2 + 3*w + 1. Let n be v(3). Calculate the remainder when d is divided by -9 + 10 + n + 1 + 10.
10
Let p(h) = 2*h**2 + 104*h + 296. Calculate the remainder when p(-53) is divided by 106.
84
Let s = 7060 - 7047. Suppose 5*v - g = 21, 5*v + g - 3*g - 17 = 0. Suppose v*b - 857 = -4*h, 2*b - 209 = -h - b. Calculate the remainder when h is divided by s.
10
Let w = 2311 + -2210. Calculate the remainder when w is divided by 21.
17
Suppose 520*x - 3 = 519*x. Suppose -x*g + 12 = -0*g, 3*f - 3*g = 96. Calculate the remainder when f is divided by 13.
10
Let k(z) = 9*z**3 + 4*z**2 - 6*z - 21. Let o be k(-3). Let l = -191 - o. What is the remainder when 34 is divided by l?
15
Let n be ((-1332)/162 - 4/(-18))*2. What is the remainder when 18 is divided by n/(-14)*(8 + 27/(-6))?
2
Let i = 7322 - 7308. What is the remainder when 569 is divided by i?
9
Suppose 24*o + 4*o = 2*o. Suppose 5*z - 5*i = 475, o = -2*z + 9*i - 13*i + 160. What is the remainder when z is divided by 7?
6
Suppose -3*m = -4*k + 117, -k = -2*m + 414 - 442. What is the remainder when 1286 is divided by k?
26
Suppose 0 = 33*v - 11*v + 132. Let k(c) = 2*c**2 + 11*c + 2. What is the remainder when k(v) is divided by 3?
2
Let c(m) be the second derivative of -m**4/12 - 11*m**3/6 + 11*m**2 + 87*m - 1. What is the remainder when 49 is divided by c(-10)?
17
Let t(w) = w**3 + 18*w**2 + 12*w - 12. Let a(b) = 52*b + 2379. What is the remainder when t(-16) is divided by a(-45)?
35
Let f(z) = z**3 - 104*z**2 + 230*z - 800. What is the remainder when f(102) is divided by 103?
101
Suppose 0*f - 3*f + 90 = 0. Suppose 2*o + 40 = 2*r, r + 3*o + 3 - 31 = 0. Suppose r*t = 2947 + 309. Calculate the remainder when t is divided by f.
28
Let f(c) = c**2 - c - 1. Let m = 48 + 2. Suppose m = 8*s + 10. What is the remainder when 53 is divided by f(s)?
15
Suppose 7*y - 4*y + 3*f - 540 = 0, -2*f = 5*y - 894. Calculate the remainder when 1599 is divided by y.
175
Let c = 5 + -2. Let v(h) = 77 + c*h - 14 + 49 - 24. What is the remainder when v(0) is divided by 5?
3
Suppose 1107 = 3*i + 4*j, -4*i + 989 = -2*j - 509. Calculate the remainder when i is divided by 167.
39
Suppose 0*f = f + 1, 4*c = -3*f + 29. Suppose -3*b + 3*y = -162, -3*y = -c*y - 25. What is the remainder when b is divided by 13?
10
Suppose 0 = -5*n - 7*n - 2*n. Suppose -j + 4*k + 55 - 19 = n, -123 = -4*j - 5*k. Calculate the remainder when 94 is divided by j.
30
Suppose 21*f - 5740 = -24*f - 1195. What is the remainder when 993 is divided by f?
84
Let b(d) = -2*d - 28. Suppose -10*t = -3*t. Suppose t = -13*m + 10*m + 87. Calculate the remainder when m is divided by b(-17).
5
Suppose 12*o - 99 + 147 = 96. Let d(l) = -l**3 - 4*l**2 + 6*l + 5. Let v be d(-5). Suppose v = o*g - 73 - 99. Calculate the remainder when g is divided by 22.
21
Let k be -4 + (13 + -1)/3. Suppose -358 = -4*l - 0*l - 3*b, k = 3*l - 5*b - 254. Let s = -55 + l. Calculate the remainder when s is divided by 17.
16
Let h be 2/11 - 15360/264. Let b = h - -87. Let v = 138 - 83. Calculate the remainder when v is divided by b.
26
Suppose 0 = -u - u + 3*c + 390, -2*u - 2*c = -410. Let t = u - 165. Calculate the remainder when 106 is divided by t.
34
Suppose 6*v - 2*v - 52 = -4*j, 4*j - 54 = -3*