6
Suppose 10 = v + 5*o - 32, v - 9*o - 28 = 0. Let b(r) = 6*r - 4. Let f be b(7). Suppose -f = -4*t + 2. What is the remainder when v is divided by t?
7
Let h = -47 + 22. Let r = -28 - h. What is the remainder when 2 + ((-225)/r - 1) + 1 is divided by 16?
13
Let x be 15/25*-1 - (-13)/5. Suppose 2*j - 114 = -4*w, 0 = x*j + w - 55 - 47. What is the remainder when 194 is divided by j?
47
Let j(o) = 11*o + 2. Suppose -2*x - 5*x = -21. What is the remainder when j(x) is divided by 24/(-10)*(-225)/30?
17
Suppose 0 = g - 2*g + 12. Suppose -265*z + 270*z = y - 68, 0 = 2*y + 3*z - 110. Calculate the remainder when y is divided by g.
10
Suppose 24*h - 72799 - 119998 = -14093. Calculate the remainder when h is divided by 49.
47
Suppose 5*b + 2*g = 10, 0 = -5*b - 0*g - 4*g. Let h(n) = -117*n + 1930. Calculate the remainder when h(16) is divided by b.
2
Let y = 22027 - 16353. What is the remainder when y is divided by 66?
64
Let l = -361 + 607. Let b = 299 - l. Suppose -6 = k + 5*r + 5, -2*r - 35 = -3*k. What is the remainder when b is divided by k?
8
Let a be (3/(-1))/12 - 2568/(-32). Suppose 0 = -3*o + l - 0*l + a, -4*o - 5*l = -132. Calculate the remainder when 83 is divided by o.
27
Let h = -777 + 801. What is the remainder when 2 - 0 - 3 - 13*-35 is divided by h?
22
Suppose 4*t - f = 19, 0 = t - 5*f + 1 - 20. Suppose 0 = -4*k - 16, 5*z = 3*k - t*k - 324. What is the remainder when 157 is divided by (6/4 - 2)*z/2?
13
Suppose -285 = -5*d + 70. Let l be ((-46)/(-69))/((-3)/(-9)). What is the remainder when d is divided by (-3)/((-65)/75 - l/(-3))?
11
Let h(g) = -g**2 + 13*g + 30. Let c be h(-2). Calculate the remainder when 129 is divided by 13 + c/5 + 0.
12
Let i(b) = 5*b**2 - 4. Calculate the remainder when 55 is divided by i(-3).
14
Suppose 203 = 14*y + 92 - 477. Calculate the remainder when 9113 is divided by y.
41
Let x be (-3)/(-1) - 0/(-5). What is the remainder when (5/(-2))/(x/(-30)) is divided by ((-40)/(-50))/((-8)/(-100))?
5
Let y = 239 - 223. Let i(t) = t - 11. Let l be i(14). Suppose 78 = -0*h + l*h. Calculate the remainder when h is divided by y.
10
Let t be 2*-1*91/(-14). Suppose -t*s + 2*s = -1012. Calculate the remainder when s is divided by 50.
42
Suppose 7 = q - b, -2*b - 7 = -4*q + 3*q. Suppose q*o = -9 + 23. Suppose 0 = 7*h - o*h - 5. Calculate the remainder when 1 is divided by h.
0
Let m = -5605 - -9943. Calculate the remainder when m is divided by 14.
12
Let z(u) = -25*u + 5. Let s(m) = 5*m - 1. Let i(j) = 11*s(j) + 2*z(j). Suppose 2*t + 650 = 652. Calculate the remainder when 7 is divided by i(t).
3
Let g(o) = 740*o - 3323. Calculate the remainder when g(16) is divided by 8.
5
Suppose 93*l + 28*l = 81191. Calculate the remainder when l is divided by 661.
10
Let t = 139 + -99. Suppose t*v - 4973 - 3947 = 0. What is the remainder when v is divided by 15?
13
Let b(r) = r + 3. Let n(w) = w**2 + 4*w - 18. Let d(f) = 6*b(f) + n(f). Calculate the remainder when 86 is divided by d(-11).
9
Suppose -84*x + 82*x + 76 = 0. Suppose -t - x + 62 = 0. Calculate the remainder when t is divided by 10.
4
Suppose 3*d + 6 = -4*q, -2*q - 8 = d - 4. Suppose 5*i - 57 = -d*t, 5*i + 14 + 11 = 0. What is the remainder when 162 is divided by t?
39
Let n be (-45)/((-300)/(-72) - 5). Suppose -w = 5*y + w - 277, 224 = 4*y + 4*w. Calculate the remainder when y is divided by 7*n/49 - 4/(-14).
7
Let h = 23548 + -23204. What is the remainder when 358 is divided by h?
14
Suppose 17*d - 3548 = 15*d. Let i = d - 1231. Calculate the remainder when i is divided by 42.
39
Let z = -29 - -54. Suppose -3*o + 3*j + 66 = 0, 0 = -2*o - j + 28 + z. What is the remainder when 84 is divided by o?
9
Let f = 268 - 264. What is the remainder when (-66)/((f - (-55)/(-15))*-2) is divided by 34?
31
Let i(z) = -12*z - 173. Let p(a) = -13*a - 176. Let u(w) = -3*i(w) + 2*p(w). Let g = 78 + 24. Calculate the remainder when g is divided by u(-14).
21
Let i be 9/(-18) + 2/(-4). Let c be -2 - (-4 - -3 - 8). Let n = c + i. What is the remainder when 15 is divided by n?
3
Calculate the remainder when 1*(-41493)/(-27) - (-9 + (-1659)/(-189)) is divided by 77.
74
Let j = -508 + 595. What is the remainder when j is divided by 32?
23
Let k(i) = 18*i**2 - 27*i + 73. What is the remainder when k(4) is divided by 102?
49
Let l = -153 + -357. Let o = l - -589. Calculate the remainder when o is divided by 20.
19
Suppose -51*r = -70*r + 1444. Calculate the remainder when 453 is divided by r.
73
Suppose 3*i + 3*y = 216, 4*i = 3*y - 2*y + 303. What is the remainder when (-137)/(9 - (-715)/(-78)) is divided by i?
72
Let w be (10/3)/((-290)/(-1044)). What is the remainder when 38 is divided by 6 - w/(-1)*4/8?
2
Let n(o) be the third derivative of o**5/30 - o**4/8 + 13*o**3/6 + 266*o**2. Calculate the remainder when 96 is divided by n(4).
30
Let c(y) = y**3 + 18*y**2 - 20*y - 17. Let k be c(-19). Suppose -k*x - 8 + 208 = 0. What is the remainder when x is divided by 52?
48
Let l(r) = -r**2 - 4*r + 14. Let m be l(0). Suppose -m*d + 472 + 1460 = 0. Calculate the remainder when d is divided by 39.
21
Let r(d) = d + 10. Suppose 0 = 6*n - 244 + 16. What is the remainder when n is divided by r(0)?
8
Suppose c = 12*f - 11*f + 3, 3 = 2*c + f. Suppose c*b = -3*l + 148, -5*b + 245 = 4*l + l. What is the remainder when 549 is divided by l?
49
Let r(z) = 4*z**2 - 14*z - 228. What is the remainder when r(-10) is divided by 77?
4
Suppose -5*t = 2*r - 948, -51*r = 5*t - 53*r - 932. Calculate the remainder when t is divided by 16.
12
Suppose -11 - 7 = 3*d. Calculate the remainder when (-6 + 5)*-1*41 is divided by (-17 + 3)*9/d.
20
What is the remainder when (337/2 - (0 - -3))/((-1)/(-2)) is divided by 68?
59
Let w(n) = -n**3 - 16*n**2 - 16*n + 11. Let h be w(-15). Let x = 28 - h. Calculate the remainder when 38 is divided by 10 + 0/(x/1).
8
Let n = 717 + -275. Suppose -n = -5*g + 63. Let s = 34 + -8. Calculate the remainder when g is divided by s.
23
Let t = -339 + 339. Suppose -5*g + 31*i - 36*i + 220 = t, 2*i + 194 = 4*g. Calculate the remainder when 217 is divided by g.
29
Let q = 72 - 71. Let o be -5 - (-54)/8 - q/(-4). Suppose 11 = o*s - 37. Calculate the remainder when s is divided by 7.
3
Suppose 0 = -16*d + 54 + 74. What is the remainder when 127 is divided by d?
7
Let r(f) be the third derivative of 7*f**4/4 - 10*f**3/3 + 68*f**2. What is the remainder when r(3) is divided by 18?
16
Let i(z) = 60*z**2 + z + 1. Suppose 0 = 177*p - 210*p + 693. Calculate the remainder when i(-1) is divided by p.
18
Let l(z) = -z**3 - 29*z**2 - 102*z - 68. Calculate the remainder when l(-26) is divided by 183.
7
Let r(t) = -t**3 + 27*t**2 - 19*t - 105. Calculate the remainder when r(24) is divided by 4.
3
Let u be ((-6)/(-15))/(2/80). Suppose -2*i = -i - u. Let m(x) = -x**3 + 15*x**2 - 42*x + 252. What is the remainder when m(13) is divided by i?
12
Suppose 690*q - 1683 = 679*q. Let s(x) = -16*x - 1. What is the remainder when q is divided by s(-2)?
29
Let x(z) = z**2 - 20*z + 2. What is the remainder when 1390 is divided by x(-5)?
120
Let u be (15 + -14)*(-2 - -1906). Suppose -33*i + 142 + u = 0. What is the remainder when 114 is divided by i?
52
Let g = 11 + -2. Suppose 3*p - 585 = -3*s - 0*p, 795 = 4*s - p. Suppose 10*n - s = 4*n. Calculate the remainder when n is divided by g.
6
Suppose -11 + 44 = 3*w. Let g be (0 + -1)*(-3 - 2). Suppose 0 = g*d - 34 - w. What is the remainder when 26 is divided by d?
8
Suppose 5*o - 52 = -37. Suppose 5*g - 4*b = g + 20, 0 = -g + 3*b + 5. Suppose -o*w = -g*w + 114. What is the remainder when w is divided by 21?
15
Let a(k) = -k**3 - 35*k**2 - 34*k - 387. Calculate the remainder when a(-35) is divided by 116.
107
Let m(c) = 41*c - 276. Let q(o) = 4*o**2 - 5*o - 9. What is the remainder when q(6) is divided by m(7)?
6
Suppose -3*f - 2*t - 716 = -808, 5*f - 154 = -3*t. Calculate the remainder when 2 - (1 - (88 + -4)) is divided by f.
21
Suppose 0 = -5*j + 739 + 256. Let n = -184 + j. What is the remainder when 69 is divided by n?
9
Let g be (6/(-5))/((-36)/990). Suppose -38*y + 90 = -g*y. What is the remainder when y is divided by 13?
5
Suppose o + 8*d - 489 = 0, -28*o + 30*o - 3*d - 1035 = 0. Calculate the remainder when o is divided by 38.
19
Let u be (-90)/(-18) - (-5 + 2). Suppose 0 = u*b -