t is the remainder when d is divided by 6?
2
Suppose -h - 351 - 599 = 0. Let b = h + 1145. What is the remainder when b is divided by 32?
3
Suppose -o + 4*c - c = -21, -3*c = 4*o - 9. Let q = -181 + 182. What is the remainder when q*-3*7/42*-52 is divided by o?
2
Let k(n) = 4*n**2 + 201*n + 11. Let u(i) = -i**2 - 40*i - 2. Let t(o) = 2*k(o) + 11*u(o). Calculate the remainder when t(-7) is divided by 40.
39
Suppose 2*w - 235 = -3*y, 4*y + w - 312 = -3*w. Let q = -98 + 194. Let c = 116 - q. Calculate the remainder when y is divided by c.
19
What is the remainder when 1329 is divided by (-30)/(-24)*-20*(-14)/875*635?
59
Let o = 0 + 3. Suppose 3*n - o*h + 9 = 27, h = -4*n + 9. What is the remainder when ((-42)/3)/42*-12 is divided by n?
1
Let l be 12/(((-4)/64)/(33/(-36))). Let y = l - 95. Calculate the remainder when y is divided by 11.
4
Let k = -60 + 120. Suppose -3*u = c - 19, 2*u - k = -4*c - 2*u. Calculate the remainder when (-193)/(-4) + 3/4 is divided by c.
10
Let i = -24583 - -24782. Calculate the remainder when i is divided by 121.
78
Suppose -68*v + 595 + 797 = -2620. Calculate the remainder when 321 is divided by v.
26
Suppose -3*y - w = -649 + 469, -174 = -3*y - 2*w. Let f = -30 + 53. What is the remainder when y is divided by f?
16
Calculate the remainder when ((-84)/96*196)/((-1)/2) is divided by 43.
42
Let k be 6/(-72) - (-6674)/24. Let t = -270 + k. What is the remainder when 10 is divided by t?
2
Suppose -4*z + 77 = 3*s - 8*z, 4*s - 5*z - 104 = 0. Calculate the remainder when 278 is divided by s.
30
Suppose 0 = -4*n + 3*o + 126, 187 - 16 = 5*n + 3*o. Let u = -1 + 2. Let q = n - u. What is the remainder when q is divided by 7?
4
Let x = -3872 - -3985. Calculate the remainder when 12314 is divided by x.
110
Let d = 445 + -387. Calculate the remainder when 334 is divided by d.
44
Let u = 849 + -725. Let s = -9 - -35. What is the remainder when u is divided by s?
20
What is the remainder when 294 is divided by -32*42/(-168)*(-1 - (-82)/4)?
138
Suppose 51*c - 4879 = -6556 + 16569. What is the remainder when 876 is divided by c?
0
Suppose -32*q + 1413 + 7929 = -3970. Calculate the remainder when q is divided by 222.
194
Let y = -22133 - -22173. What is the remainder when 5199 is divided by y?
39
Suppose -145*b + 936590 + 16263 + 1228527 = 0. Calculate the remainder when b is divided by 66.
62
Let d = 1010 - 1008. What is the remainder when 139 is divided by d/(-3) - 2/(-6)*11?
1
Let k = -42215 - -42365. Let f(g) = g**3 - 2*g**2 - 4*g + 3. Calculate the remainder when k is divided by f(4).
17
Let p(s) = 409*s + 267. Let h be p(13). Suppose -h = 31*m - 14357. Calculate the remainder when m is divided by 22.
19
Suppose f = -4, 8*p - 5*f = 4*p + 592. Suppose p*r + 32 = 145*r. What is the remainder when 526 is divided by r?
14
Let j = -373 + 376. Suppose j*d + 1700 = 23*d. Calculate the remainder when d is divided by 11.
8
Suppose 78*h - 77*h + 4*y - 915 = 0, 4*h = -4*y + 3576. Calculate the remainder when h is divided by 283.
38
Let a(f) = -2*f**2 + 23*f + 17. Let y be a(12). Suppose 0 = -w - y, 4*v + w = -w + 406. What is the remainder when v is divided by 40?
24
Suppose 4*z - 219 = -75. Suppose z = 2*c - 16. Suppose -2*x - w = w - 28, 0 = 4*x - 4*w - 24. What is the remainder when c is divided by x?
6
Suppose p = -4*p + 1170. Let h = p - 214. Suppose -3*c + 2 + 19 = 0. What is the remainder when h is divided by c?
6
Let t = -998 - -1226. Calculate the remainder when t is divided by 43.
13
Suppose 4 = -c + 6. Suppose 30 = c*z - 30. Let k = -19 + z. What is the remainder when k is divided by 7?
4
Let p(l) = 2*l**3 - 11*l**2 + l - 4. Let m be p(7). Suppose -168 = -m*s + 144*s. Calculate the remainder when 275 is divided by s.
23
Let l(q) = -227*q + 1083. Calculate the remainder when l(4) is divided by 150.
25
Let v(g) = -g**3 - 114*g**2 + 1227*g - 1470. Suppose 0 = 4*n + 102 - 390. Calculate the remainder when v(-124) is divided by n.
70
Suppose 0 = 4*t - 4, -4*z + 2*t + 57 = -t. Let w(v) = -3*v**3 - 300*v**2 - v - 58. Calculate the remainder when w(-100) is divided by z.
12
Let j = -2274 - -3605. Suppose -j - 2029 = -35*i. What is the remainder when i is divided by 5?
1
Let a(c) = -247*c + 603. What is the remainder when a(-32) is divided by 10?
7
Suppose -2*y = 3*b - 17, 3*y - 48 = -96*b + 94*b. Calculate the remainder when 14796 is divided by y.
12
Let o = 16 + 74. Let s(w) = w**3 + 14*w**2 - 56*w - 69. What is the remainder when o is divided by s(-17)?
10
Let x(u) = -4*u + 16. Let d be x(-6). Let v = -39 + 36. Calculate the remainder when 43 is divided by (v + d/6)*3.
10
Suppose -29 + 59 = -5*q. Let r be 2*((-21)/(-14))/(q/(-488)). Suppose -z + 11 + 50 = -o, r = 4*z + 4*o. Calculate the remainder when z is divided by 16.
13
Suppose 4*p = -164 - 16. Let s = 19 - p. Suppose 5*g - 3*g + l = 385, -4*g + 765 = l. What is the remainder when g is divided by s?
62
Let r(a) = 111*a + 4181. What is the remainder when r(-7) is divided by 142?
138
Let j = 587 + -575. Suppose 2*s = 5 + 1. Suppose s*o - 140 = o. Calculate the remainder when o is divided by j.
10
Suppose -q + 122*q = 3509. Let l be (0 + 0)/(30/15). Suppose 72 = 5*j + n, l = 5*j - n - n - 81. Calculate the remainder when q is divided by j.
14
Let z(b) = -5*b**2 + 3*b + 1. Let j(o) = -6*o**2 + 2*o + 1. Let h(m) = 6*j(m) - 7*z(m). What is the remainder when 73 is divided by h(-5)?
16
Suppose -84*v = -75*v - 36. Suppose 0 = 5*k - 5*w - 1485, 0 = -v*k - 2*w + 677 + 529. Calculate the remainder when k is divided by 61.
56
Suppose 46 + 126 = 2*f. Let v be (68/85)/(2/(-10)). Calculate the remainder when 73 is divided by 2*(-3 - f/v).
36
Let y(p) = p**3 + p**2 - 47*p - 24. Suppose 0 = -l - 7*l + 488. What is the remainder when y(9) is divided by l?
58
Suppose -42 = -7*i + 371. Let f be -50*(5/2 - 3). Suppose -4*x = -f - 23. Calculate the remainder when i is divided by x.
11
Suppose 1055 = 33*p - 1156. Calculate the remainder when p is divided by (-3 - -2)/(1/(-35)).
32
Let s(l) = -2*l**2 + 35*l - 13. Let p(i) = -i**2 - i + 6. Let u be p(3). What is the remainder when (u + 44)/(-1 - -2) is divided by s(17)?
2
Let w be (-54)/(-2) - (4 - 0)/4. Suppose d - 370 = 2*x, -35 = -3*x - w. Calculate the remainder when d is divided by 27.
25
Suppose 3*z = 4*y + 28, -2*y - 2*y = z - 4. Suppose 2*r = -z*r + 590. What is the remainder when 116 is divided by r?
57
Suppose 11*c - 4 = 7*c. Calculate the remainder when (-4 - -6) + (24/1)/c is divided by 6.
2
Let l = 66 - 26. What is the remainder when l is divided by -3 + (-182)/(-10) + -21 + (-2574)/(-130)?
12
Let c(m) = -m**2 - 3*m + 5. Let v be c(-3). Suppose u = -v*z + 3, 3*z - 25 = 8*z. Suppose u = d - 0*d. Calculate the remainder when d is divided by 16.
12
Let n(y) = -113*y - 4148. Suppose -208 = -2*s - 3*t, 90 = s - 0*t - 2*t. What is the remainder when s is divided by n(-37)?
32
Suppose -155*q - 360 = -185*q. Calculate the remainder when 430 is divided by q.
10
Let l(f) = 5*f**3 - 2*f**2 - 22*f + 50. Calculate the remainder when 196 is divided by l(3).
95
Suppose -12362 + 47936 = 154*v. What is the remainder when v is divided by 6?
3
Let o = -13213 + 13225. Let y(r) = -r**3 - 4*r**2 - 4*r - 1. What is the remainder when y(-8) is divided by o?
11
Suppose 8*u - 12 = 4*u. Let o be ((-2)/u)/((-8)/108*-3). Calculate the remainder when (1 - 4)*(-235)/(-15)*o is divided by 24.
21
Suppose 0 = 4*o + h - 653, 0 = 2*o + 3*h - 8*h - 321. Suppose 0 = -10*q + o + 367. Calculate the remainder when q is divided by 36.
17
Let o(s) = s**2 - 35 - 7*s + 66 - 2*s. Let j be o(10). Suppose -44*t = -j*t - 168. Calculate the remainder when t is divided by 29.
27
Let a(o) = -2*o**2 - 168*o + 922. What is the remainder when 1919 is divided by a(-89)?
31
Let w = -2314 - -2321. Let t(r) = 12*r**2 + 3. What is the remainder when t(4) is divided by w?
6
Let y(x) = 53*x - 1. Let n = -372281 + 372591. Calculate the remainder when n is divided by y(1).
50
Suppose -2956 + 840 = -46*f. Calculate the remainder when 1097 is divided by f.
39
Let q = 4623 - 4407. What is the remainder when 453 is divided by q?
21
Let i(t) = 2*t**2 - t + 10. What is the remainder when 10 - (-17)/(-1) - -88 is divided by i(-4)?
35
Suppose -2*d + 5*w + 32 = 2*d, 4*d + 5*w + 8 = 0. Suppose -2*u + 10 = d*u. S