uppose 0 = 12*p - 9*p - 102. Suppose -16 = -6*r - 2*r. Suppose 3*k = -5*a + 218, -r*a + 3*a + 194 = 3*k. What is the remainder when k is divided by p?
32
Let j be (0 + -13)*(5 - 6). Suppose -3*a = -r + 58 + 32, 4*r - 2*a - 380 = 0. Suppose j*k = 5*k + r. What is the remainder when 83 is divided by k?
11
Suppose 0 = -j + 3*h, 11*j - 6*j - h = 14. Suppose -j*t + 5*t + 66 = 0. Let z = t + 43. What is the remainder when 27 is divided by z?
7
Suppose 843 = -11*k + 2493. What is the remainder when k is divided by 83?
67
Suppose 3566 = 30*q - 5254. Suppose 25*z - 331 - q = 0. Calculate the remainder when 73 is divided by z.
23
Let b(i) be the first derivative of -3*i**2 - 27*i - 69. Let w(d) = -d - 12. Let t be w(-3). What is the remainder when b(t) is divided by 9?
0
Let j(h) = -9*h - 9. Let b(n) = -8*n - 8. Suppose -17*f + 14*f = -18. Let t(q) = f*j(q) - 7*b(q). Calculate the remainder when 35 is divided by t(4).
5
Let u(l) = -l**2 - 44*l - 22. What is the remainder when 684 is divided by u(-40)?
132
Suppose -16*o + 9*o - 47*o + 13770 = 0. What is the remainder when o is divided by 107?
41
Suppose -377 = -3*l - 26*l. What is the remainder when (-260)/(-26) + 33*2 is divided by l?
11
Let c = -11589 - -11597. Calculate the remainder when 7190 is divided by c.
6
Suppose 2*w - 82 = -o - o, -5*o + 237 = -3*w. Let x = o + -43. Suppose 4*h + 64 = x*n + 2*h, 92 = 3*n + h. What is the remainder when 121 is divided by n?
28
Let v = 230 - 179. Suppose v*x - 45*x - 768 = 0. What is the remainder when x is divided by 10?
8
Calculate the remainder when 116/(-986) + (-59230)/(-17) is divided by 32.
28
Let i = -41 + 28. Let j = -2 - i. Suppose -w + j = 4*d - 0*w, 2*w - 7 = -3*d. What is the remainder when d is divided by 2?
1
Let a(d) = 2*d**2 - 148*d + 1192. Calculate the remainder when 391 is divided by a(9).
17
Let d(q) = q**2 + q - 5. Let o be d(6). Suppose o = -2*t - 11. What is the remainder when (-1662)/t - 3/12 is divided by 25?
19
Let t(l) = l**3 - 12*l**2 + 14*l + 9. Let s be t(11). Suppose -5*n = -48 - s. Calculate the remainder when 1 + (-3*17)/(-1) is divided by n.
16
Suppose 2*v - 4482 = -4*n, -5*n = -3*v - 5611 - 19. What is the remainder when n is divided by 24?
19
Suppose -a - 3*i = -16, 4*a - 2 = -2*i + 12. Let r be -3 - (a + -43 - (-3)/(-3)). Calculate the remainder when 105 is divided by ((-62)/4)/(4*(-5)/r).
12
Let d(u) = -91*u - 1251. What is the remainder when 199 is divided by d(-14)?
15
Let w(i) = -77*i**2 + 12*i - 20. Let d be w(2). Let o = d + 393. Let a(s) = -4*s - 6. Calculate the remainder when o is divided by a(-6).
17
Suppose 36 + 12 = -4*d + 4*m, -5*d - 60 = -4*m. Let s(a) = -11*a - 17. Let z be s(d). Suppose -12*g = -499 + z. Calculate the remainder when 95 is divided by g.
31
Let n(y) = 8*y**2 - 790*y - 191. Calculate the remainder when 1173 is divided by n(99).
4
Suppose 201 = 2*w + 3*f, -46*f + 50*f = 5*w - 445. Calculate the remainder when 454 is divided by w.
82
Let m = 4342 - 4063. Calculate the remainder when m is divided by 73.
60
Let n = -174 - -210. What is the remainder when 322 is divided by n?
34
Suppose 5*s = -3*a - 39, -s - 2*s + 45 = -2*a. Let b be a/(-12)*56/6. Calculate the remainder when -1*3 + (43 - b) is divided by 15.
11
Suppose 0 = -8*u + 3*u. Suppose u = -5*h - l + 45, 6*l - 3*l = -5*h + 55. Let o = 68247 + -68244. What is the remainder when h is divided by o?
2
Suppose 164 = 5*g - 2*k + 51, -2*g + 2*k + 50 = 0. Suppose -7*b + 108 = -5*b. What is the remainder when g is divided by b/(-15)*(-20)/6?
9
Let d(t) = -4*t**3 - t**2 + 7*t + 9. Let f be (-13)/(52/24) + 3. What is the remainder when d(f) is divided by 13?
9
Let n(r) = -r**3 + 7*r**2 - 18*r + 38. Let l be n(5). Let v(y) = 5*y**2 + 8*y + 10. Calculate the remainder when 153 is divided by v(l).
13
Suppose -q - 1224 - 1111 = -l, 4*q = -l + 2360. Suppose 19*w - l = w. What is the remainder when w is divided by 44?
42
Suppose z - 3*z = 4*m - 174, -215 = -5*m - 5*z. Calculate the remainder when 85 is divided by m.
41
Let v = -5 + 14. Let f = 17 + -15. Suppose 23 = 2*m + a + 4*a, -4*a + 28 = f*m. Calculate the remainder when m is divided by v.
6
Suppose 4*q = -2 + 10, -3*q = -4*c - 10. What is the remainder when 1 - (2 - 57) - -2 is divided by -2 - (66/c)/3?
18
Let f = -2855 + 2876. Calculate the remainder when 203 is divided by f.
14
Let w(g) = 2*g**3 + 13*g**2 + 23*g + 68. Let j = -270 - -764. Suppose -4*o - 173 + j = 3*y, 410 = 5*o - 5*y. Calculate the remainder when o is divided by w(-5).
25
Suppose 2*g = -9 + 19. Suppose -2*h = g*w - 38, 2*h - 3*w - 15 = -h. Suppose 9*d - 5*t - 23 = 8*d, -t + 46 = 2*d. What is the remainder when d is divided by h?
5
Let v be (-1 - -2)/(9 + 2259/(-252)). Suppose 3*m - 79 + v = 0. Calculate the remainder when 148 is divided by m.
12
Let b be -1 + 8 - 40/20. Suppose v = 4*r - 242, 4*r - b*v + 61 = 311. Suppose u - r = 1. Calculate the remainder when 181 is divided by u.
59
Let d(v) = -v**2 + 2*v + 43. Let a be d(-6). Calculate the remainder when 148 is divided by (a/1)/((-4)/12) - 0.
13
Let p = 7487 - 7480. Let t(a) = -a**3 + 5*a**2 + 4*a + 12. Calculate the remainder when t(5) is divided by p.
4
Let q be (-27)/63*14/(-3). Suppose -q*c + 5*x + 175 = 0, -5*x = -5*c - 3*x + 427. Calculate the remainder when c is divided by 9.
4
Suppose 99*g - 1953 = 12204. Calculate the remainder when 281 is divided by g.
138
Suppose 81 - 255 = 6*y. Let r = 67 - 6. Calculate the remainder when r is divided by -5 + 1 - y*6/6.
11
Let c be (-4)/((5 - 5) + 4/934). Let r = -891 - c. Calculate the remainder when r is divided by 23.
20
Let s(r) = r**2 + r + 20. Let j be s(6). Suppose 3*w + 10*v - 47 = 5*v, 3*w - j = -2*v. What is the remainder when 1/(-3) + (-548)/(-6) is divided by w?
19
Suppose 5*o = 2*i + 28, 4*i + 5*o = -0*o + 4. Calculate the remainder when 34 is divided by 1 + i - (-3 - -1) - -9.
2
Suppose -3706*j = -3681*j - 49225. What is the remainder when j is divided by 34?
31
Let k be (18 - 11 - -294)/(2 + -1). Let m = k + -59. Calculate the remainder when m is divided by 13.
8
Suppose 2*d = -2*o + 3 - 5, -5*d - 32 = -4*o. What is the remainder when 1038 is divided by o?
0
Suppose 27 = w + 3*v - 30, -4*w - 3*v + 183 = 0. Suppose -35 - 28 = -2*m + b, 3*m - 3*b - 99 = 0. What is the remainder when m is divided by 840/w + (-2)/2?
11
Let w(v) = -5*v**3 + 222*v**2 + 141*v - 143. Let t = 33 + -1. What is the remainder when w(45) is divided by t?
31
Let g(o) = 3*o - 51. Let n be g(0). Let x = n - -58. Calculate the remainder when 7 is divided by (-22)/(-77) - (-40)/x.
1
Let u(y) = 2*y**2 + 31*y + 27. Let d be u(-15). What is the remainder when 78 is divided by d/9*((-4)/(-8) + 7)?
8
Suppose -3*v = -4*s - 569, 2*s - v + 237 = -46. Let c = s - -1577. Calculate the remainder when c is divided by 48.
45
Let h = 271 + -276. Calculate the remainder when 87 is divided by -2 - (-28 - (h + 1)).
21
Suppose 0 = 5*y - 49 - 51. What is the remainder when 38 is divided by (-4 + 123/15)/(6/y)?
10
Suppose 5*q = 72 - 37. Let f be ((-7)/q)/(2/(-392)). Suppose -31*n + 27*n = -f. What is the remainder when n is divided by 13?
10
Let v be 3/(4/(224/12)). Let l be 6/4*(1 + v/6). Suppose -3*q + l*b + 103 = -41, -5*b - 15 = 0. What is the remainder when 126 is divided by q?
40
Suppose -26 = -4*i - 2*g, i - 4*g - 17 = -g. Suppose i + 55 = 3*s. Suppose 190 = 3*f + 10. What is the remainder when f is divided by s?
18
Suppose -7*n + 4*n + 10946 = 2*y, -2*y = -n + 3638. What is the remainder when n is divided by 19?
17
Let q = 20 + -6. Let g(w) = 3075 + w**2 + 10*w - 3257 + 6*w. What is the remainder when q is divided by g(-24)?
4
Suppose 0*a - 4*a = -224. Suppose -30*p - 105 = -69*p + 480. What is the remainder when a is divided by p?
11
Let s(m) = -23*m + 126. What is the remainder when s(-69) is divided by 11?
8
Let x(y) = 5*y + 1. Suppose 2*z - 165 = z. Suppose 4*s + s - 162 = 4*g, -5*g - z = -5*s. What is the remainder when s is divided by x(3)?
14
Suppose -3738*p = -3780*p + 60186. Calculate the remainder when p is divided by 143.
3
Let k = 288 - 252. Suppose -16 - k = -n. What is the remainder when 206 is divided by n?
50
Let v(m) = m**3 + 8*m**2 + 9*m - 15. Calculate the remainder when 2024 is divided by v(-5).
14
Suppose 2*u - b - 180 = 0, -4*u + 3*u + 3*b =