 Calculate the remainder when n(15) is divided by 8.
7
Let x(i) = 6*i**3 - 13*i**2 + 16*i + 7. Calculate the remainder when x(10) is divided by 28.
23
Let w be 526/(-6) - ((-2)/(-3))/2. Let f = -74 - w. Suppose -f*j = -9*j - 30. Calculate the remainder when 31 is divided by j.
1
Let s be ((-51)/68 - 10/(-8))*0. Suppose 3*b - 84 + 45 = s. What is the remainder when 203 is divided by b?
8
Let r(a) = -a**3 - 2*a**2 + 11*a + 20. Let i be r(-15). What is the remainder when 11/(495/i) - (-4)/18 is divided by (-86)/(-11) + (-6)/(-33)?
6
Let d(r) = -731*r - 695. What is the remainder when 2337 is divided by d(-1)?
33
Suppose 192 = -4*n + 8*n. Let l = n - 46. Suppose -5*t = 4*s - 2*s - 114, l*s - 2*t = 142. What is the remainder when s is divided by 14?
11
Let a(d) = -63*d + 87. Let l(p) = p - 30. Let m be l(27). What is the remainder when a(m) is divided by 88?
12
Suppose 0 = -387*d + 390*d + 30. Suppose 0*p + 5*p - 45 = 0. Calculate the remainder when (-555)/d + -1 + p/6 is divided by 19.
18
Suppose -28*d + 2311 - 8 = 903. What is the remainder when 1140 is divided by d?
40
Let h = -37 - -49. Let y(t) = 9*t - 23. What is the remainder when y(h) is divided by 752/34 + 8/(-68)?
19
Let o(h) = -h**3 + 53*h**2 - 98*h - 174. Calculate the remainder when 30 is divided by o(51).
0
Let c(r) = 44*r**2 - 1. Suppose 5*u = -d + 187, 0 = -24*u + 27*u + 3*d - 129. What is the remainder when c(2) is divided by u?
31
Let k be 2093/130 + 2/(-20). Calculate the remainder when 159 is divided by 5/15 - (-2)/3*k.
5
Calculate the remainder when (-29810)/40*(-5 - 3) is divided by 42.
40
Let t = 14636 + -14552. Calculate the remainder when 327 is divided by t.
75
Let c(q) = -44*q - 39. Let g be c(-9). Suppose 5*h + 3*n = g, -4 = -n - 5. Suppose -15*f + 18*f = h. Calculate the remainder when 143 is divided by f.
23
Suppose -102*r + 94*r + 272 = 0. Suppose -2*d = 2*d - 244. Let n = d - r. Calculate the remainder when 132 is divided by n.
24
Let b(d) = 14*d**2 - 5*d + 5. Suppose 4 + 16 = 20*h. What is the remainder when (-52)/(-1) + (-2)/(-1) is divided by b(h)?
12
Let j(y) = 5*y + 60. Let a be j(-12). Suppose a = 8*g - 267 - 373. Calculate the remainder when g is divided by 17.
12
Suppose 12 = 4*z + n, 5*z + 4*n = -0*z + 26. Suppose 25 = 5*h, 5 = -z*l + 4*h - 9. Suppose l*w - 8 = -5*w. What is the remainder when 1 is divided by w?
0
Let w = 983 + -619. Let t = 868 - w. Suppose t = 3*h + 3. Calculate the remainder when h is divided by 34.
31
Suppose 0 = -f - 0*f + 111. Let d(j) = -2*j**3 - 6*j**2 + 19*j + 69. What is the remainder when d(-7) is divided by f?
106
Let a(b) = 9*b - 96. Let j = 533 + -522. Calculate the remainder when 9 is divided by a(j).
0
Let o(n) = -2*n**3 + 20*n**2 + 26*n - 38. Calculate the remainder when o(10) is divided by 95.
32
Calculate the remainder when (30/(-12) + 18)*264 is divided by 178.
176
Suppose 5*u - 2*i - 3*i = 460, -3*u = 3*i - 300. Calculate the remainder when u is divided by 30.
6
Suppose -393*a + 390*a + 27 = 0, -3*a - 24108 = -5*g. What is the remainder when g is divided by 42?
39
Suppose -3243 = 10*i - 113. Let v = i + 479. Calculate the remainder when v is divided by 10.
6
Suppose -3*p - 479 = -2*d, 63 = -2*d + 4*p + 539. Calculate the remainder when 476 is divided by d.
232
Suppose 155*c - 3*g = 157*c - 490, 0 = -2*c + 5*g + 538. What is the remainder when c is divided by 99?
56
Suppose 4 - 16 = -4*y. Let x be 64/(-160) - (-17)/5. Suppose -97 = -y*o + 2*d, o = x*d + d + 19. What is the remainder when 68 is divided by o?
33
Calculate the remainder when 31/279*(-12)/(-10) - 12943/(-15) is divided by 8.
7
Let q(s) = -268*s + 9477. What is the remainder when q(30) is divided by 31?
11
Suppose 3*d = -w + 18, -2*d - 58 = -w - 20. Calculate the remainder when w is divided by 20.
10
Suppose -p - 582*l = -579*l - 641, -2*l = -4*p + 2578. What is the remainder when p is divided by 392?
252
Suppose 5*y = 4*u + 1504, -10*u = -y + 7*u + 236. What is the remainder when y is divided by 43?
3
What is the remainder when (93 - 14)*(1 + 1 + -2 + 4) is divided by 45?
1
Let p(s) = -101*s + 228. Suppose 0*j - 3*j + 57 = 3*c, -5*j - c = -107. What is the remainder when p(2) is divided by j?
4
Suppose 4*i + 657 = -4*k + 22745, 2*k = i + 11053. Calculate the remainder when k is divided by 41.
31
Suppose -11944 + 21457 = 306*v - 33939. Calculate the remainder when v is divided by 73.
69
Suppose 24 = 4*g, -1130 = 11*o - 13*o + 2*g. What is the remainder when o is divided by 52?
51
Suppose 3*l + h - 85 = 0, 0 = -5*l + h - 243 + 374. Calculate the remainder when 268/1 + (-3)/3 is divided by l.
24
Let y = 17540 - 11871. What is the remainder when y is divided by 14?
13
Suppose d + 4*u - 7 = 0, 0 = 5*d - 3*u - 18 - 40. Suppose 9600 = 199*p - 9902. Calculate the remainder when p is divided by d.
10
Let i be (-292)/(8/(-2)) - -2. Let a be (-6)/(1*(-6)/i). Let p = a + -6. What is the remainder when p is divided by 8?
5
Let l be (-41)/(-4) + (126/(-24) - -5). Let i = 167 + -94. Calculate the remainder when i is divided by (-95)/(-20)*((-7 - -1) + l).
16
Let y = -1 + 7. Let d be 403/39 - (-4)/y. What is the remainder when (8*-8)/(d/(-11)) is divided by 22?
20
Let c = 13723 + -13715. Calculate the remainder when 108 is divided by c.
4
Suppose -83*k - 3732 - 3180 = -371*k. Calculate the remainder when 12695 is divided by k.
23
Let y(f) = 8*f**2 + 9*f - 3. Let o be y(1). What is the remainder when 91 is divided by (20/3)/(5/(315/o))?
1
Let h(g) = 2*g**2 + 2*g**2 - 3*g**2 - 2*g + 126 - 118. Let b be h(3). Suppose 0 = b*m - 138 + 17. What is the remainder when 65 is divided by m?
10
Suppose 5*l - 30*l = -600. Suppose 0 = 4*q - l*q + 400. Suppose -5*n = -316 - 69. What is the remainder when n is divided by q?
17
Calculate the remainder when 4340/(-21)*(-24)/16 + -8 is divided by 186.
116
What is the remainder when 467 is divided by ((65/(-15))/(-13))/(4/324)?
8
Suppose 943 = 7*o - 2*a, -13*a + 11*a - 403 = -3*o. Calculate the remainder when 490 is divided by o.
85
Let p(r) = -2*r**2 + 20*r - 22. Let f be p(7). What is the remainder when 65 is divided by 12/f + (-208)/(-20)?
10
Let k be 9339/627 + (-4)/(-38). Let m be (2/(-4))/(4*6/(-288)). Suppose -m*x + k = -165. What is the remainder when 57 is divided by x?
27
Let i be (104/10)/(305/(-75) - -4). Let t = -113 - i. What is the remainder when t is divided by 12?
7
What is the remainder when 44/(-330) - (-4 - 77228/60) is divided by 210?
31
Suppose -4 = -4*y - 4*u + 8, 4*y + 5*u - 11 = 0. Suppose 3*l - 1974 + 1905 = 0. Calculate the remainder when l is divided by y.
3
Suppose -3*z + 360*k + 982 = 362*k, 0 = -5*z - 3*k + 1635. Calculate the remainder when z is divided by 49.
30
Suppose 77*w + 95 = 96*w. Let h = 79 + -47. Calculate the remainder when h is divided by (7/3)/((-2 - w)/(-21)).
4
Suppose 3*v = 4*w - 223 - 20, -5*v = 25. What is the remainder when 281 is divided by w?
53
Let k = -65 + 23. Let w = k + 62. Suppose -4*u - 55 = -363. Calculate the remainder when u is divided by w.
17
Let l(a) = -233*a + 1435. What is the remainder when l(-3) is divided by 3?
1
Let a(h) = h**3 - 12*h**2 - 10*h - 25. Suppose 3*w - 39 = -5*y + 7*y, 0 = -3*w + 5*y + 39. What is the remainder when 40 is divided by a(w)?
12
Suppose 3*a - 976 = 4*n, 8*n - 353 = -5*a + 1171. What is the remainder when 1118 is divided by a?
170
Let k(a) = -32*a + 3. Let l = -179 + 177. What is the remainder when k(l) is divided by 36?
31
Let b(s) = 3*s**2 + 37*s - 28. Let x be b(-13). What is the remainder when 153 is divided by 15 + -19 + (-60)/x?
23
Suppose -42*n = -46*n + 5*a + 27, a - 57 = -4*n. What is the remainder when 46 is divided by n?
7
Suppose 2*w + 15*d - 86 = 17*d, 5*w = 3*d + 211. Calculate the remainder when w is divided by 37.
4
Suppose 67 = -2*z - 5. Let f = z + 98. What is the remainder when f is divided by 35?
27
Suppose -15*s + 1676 + 5029 = 0. Calculate the remainder when s is divided by 16.
15
Let h(s) = -12*s - 2. Let q = -27 - -63. Suppose 173*i = 171*i + q. Calculate the remainder when h(-6) is divided by i.
16
Let f(o) = 6*o**2 - 2*o + 34. Let w be f(-14). Suppose -5*h - 4*k + w = 0, 27*h + 2*k + 734 = 30*h. What is the remainder when h is divided by 18?
12
Let u(r) = -r**3 + 34*r**2 - 21*r - 345. Suppose 2*q = -5*s - 0*q + 39, 23 =