e the remainder when 278 is divided by v.
12
Let f(l) = -l + 4. Let g(z) = -34*z + 65. Let q be g(3). Let v = q - -45. What is the remainder when f(-11) is divided by v?
7
Suppose -364 - 133 = -7*c. Let q = c + -187. Let o = q - -138. What is the remainder when 77 is divided by o?
11
Let i be -8 - (-1)/((-8)/96). Calculate the remainder when 12 is divided by -2 + (-126)/(-30) + 4/i.
0
Let i = 62 + -35. Calculate the remainder when i is divided by 6 + (2640/(-15))/(-22).
13
What is the remainder when (295/(-4))/(15/(-72)) is divided by 65?
29
Let d(z) = -z**3 + 14*z**2 + 3. Let t be d(14). Let c(x) = -12*x + 3. Let b be c(-3). Suppose 0*q + t*q = b. What is the remainder when q is divided by 3?
1
Suppose -10*s - 400 = -20*s. Let u = 16 - 10. Calculate the remainder when s is divided by u.
4
Let i = -261 + 289. Suppose -j + i = -8. What is the remainder when 141 is divided by j?
33
Suppose 764 = f + d, -232*f - 2294 = -235*f - 5*d. What is the remainder when f is divided by 105?
28
What is the remainder when (1366 - -2)/(-19)*-2*(-2)/(-6) is divided by 3?
0
Let q(a) = -275*a - 1492. What is the remainder when q(-13) is divided by 95?
88
Suppose -22*y = -19*y + 12. Let s(d) = -201*d - 2. What is the remainder when s(y) is divided by 67?
65
Let w(y) = 120*y + 1486. Let o be w(-12). Let z be -2 + (-2 - -4) - 0. Suppose q + 0 - o = z. What is the remainder when q is divided by 17?
12
Let c = 3514 + -3406. What is the remainder when 56266 is divided by c?
106
Let c = -22071 + 22133. Calculate the remainder when c is divided by 30.
2
Let t = 9048 + -8972. Calculate the remainder when 388 is divided by t.
8
Let r(a) = -a**3 + 7*a**2 + 39*a - 226. Suppose -46*x = -44*x - 300. What is the remainder when x is divided by r(8)?
18
Let y(n) = -4*n + 20. Calculate the remainder when 9/42*552 + (-14)/49 is divided by y(-10).
58
Let y(p) = p**3 + 6*p**2 + 6*p + 2. Let n be y(-5). Suppose -32*x + 969 = -919. What is the remainder when x is divided by 1/((9/(-39))/n)?
7
Let x = 164 - 157. What is the remainder when 54 is divided by x + (-10)/2 - -5?
5
Let u(c) = -c**3 + 19*c**2 - 9*c + 1. Let d be u(6). Suppose -d = -18*i + 35. What is the remainder when 84 is divided by i?
9
Suppose -4*n = -4*y - 76, -55 = 48*n - 51*n + 4*y. What is the remainder when 3727 is divided by n?
10
Calculate the remainder when ((-15)/2)/(-3)*144770/775 is divided by 227.
13
Let c = 9718 + -5146. What is the remainder when c is divided by 22?
18
Let p = 6905 - 3826. Calculate the remainder when p is divided by 88.
87
Suppose -103*l = -92*l - 1848. Calculate the remainder when l is divided by 82.
4
Suppose 26*d - 43 = 25*d - 5*u, -35 = -5*d + 5*u. Suppose -5*v + 2*v = -2*q - 286, 0 = -3*q + 12. Calculate the remainder when v is divided by d.
7
Let o(w) = 8*w. Let x(h) = -h**3 + 6*h**2 + 11*h - 59. Let u be x(6). Suppose -236 + 894 = u*s. What is the remainder when s is divided by o(2)?
14
Suppose -n = -6*n + 1060. Let o(q) = 69*q**2 - 10671*q - 10670. What is the remainder when n is divided by o(-1)?
2
Suppose l + 3*r = 712, 5*l - 4*r - 2482 - 1021 = 0. What is the remainder when l is divided by 16?
15
Let v(b) = -221*b + 296. Let x be v(-6). Suppose n + 1577 - x = 0. What is the remainder when 2691/12 + (-1)/4 is divided by n?
44
Let x be -2 + (2 + 6 - -50). Suppose -8*f + x = -0*f. Calculate the remainder when 53 is divided by f.
4
Let f = -30 - -18. Let k = 12 + f. Suppose -4*x = 2*t - 262, 0 = -t - k*t + 1. What is the remainder when x is divided by 22?
21
Let d = -17256 - -17281. Calculate the remainder when 303 is divided by d.
3
Suppose -6*s - 3*d = -s - 62, 3*s = -4*d + 35. What is the remainder when 3355/(-183) + 11492/51 is divided by s?
12
Suppose 32*d - 31*d - 1000 = -24*d. Let a(v) = 15*v - 2. Calculate the remainder when a(8) is divided by d.
38
Suppose -1005 = 2*d + n, 3*n + 2015 = -2*d - 2*d. Let m = -483 - d. Calculate the remainder when 235 is divided by m.
14
Let j(h) = -116*h + 120. Let d be j(-4). Let s = d - 560. Calculate the remainder when 59 is divided by s.
11
Let q be 6/(-4)*(5 - (-15)/(-9)). Let g(r) = 3*r + 33. Let a = 34 + 14. Calculate the remainder when a is divided by g(q).
12
What is the remainder when 805 is divided by ((-161)/(-70) + 1/5)*(-1116)/(-45)?
61
Let j(t) = -2*t**3 - 39*t**2 - 21*t - 36. Let c be j(-19). Suppose 76 = c*s + 16. What is the remainder when 237 is divided by s?
27
Let c = -19317 - -19569. What is the remainder when c is divided by 216?
36
What is the remainder when 1634 is divided by 10/3*-1*(-558 - -546)?
34
Suppose -4526 - 20709 = -245*i. Calculate the remainder when 3293 is divided by i.
100
What is the remainder when 448 is divided by (1051 + 286)*(-4)/(-14)?
66
Let j be (8 - 9)*21/(-6)*2. Suppose -s - 2*a = -124, -4*s - 363 = -j*s - 3*a. What is the remainder when s is divided by 30?
28
Suppose -21103 = 142*u - 591*u. Let b(i) = 6*i. What is the remainder when u is divided by b(3)?
11
Let z = -10 + 12. Suppose z*n = 2*o - 2*n - 12, -2*o - 2*n = -18. Suppose i + 231 = o*i. Calculate the remainder when i is divided by 17.
16
Let g(w) = -91*w**2 - 8*w + 1. Let z(q) = 45*q**2 + 3*q - 1. Let f(n) = 3*g(n) + 7*z(n). What is the remainder when f(2) is divided by 4?
2
Let o be (-17)/17*((227 - 0) + -2). Calculate the remainder when o/(-45) - (-2)/(0 + 2) is divided by 2.
0
Let q = -10321 + 10342. Calculate the remainder when 1110 is divided by q.
18
Suppose 0 = 7*b + 33 - 61. Suppose -v + 13 = -2*s + 168, -3*v = b*s - 315. Calculate the remainder when s is divided by 17.
10
Let t(p) = -477*p - 202. What is the remainder when t(-1) is divided by 262?
13
Let a = -386 + 200. Let s = -175 - a. Calculate the remainder when 43 is divided by s.
10
Let j(l) = -4*l**2 - 5*l - 26. Let m be j(7). Let g = -226 - m. Calculate the remainder when (58 - 0/(-3))/1 is divided by g.
27
Let i(n) = -n**3 + 6*n**2 - 12*n + 7. Let b be i(5). What is the remainder when 41 is divided by -4*-1*(-175)/b?
16
Suppose 64*c - 6226 - 8686 = 0. Calculate the remainder when c is divided by 47.
45
Let k(z) = z**3 + 10*z**2 + z + 18. Let i(j) = -12*j**2 - 13*j + 15. Let m be i(1). Calculate the remainder when 13 is divided by k(m).
5
Suppose -22*b + 191 = -227. Suppose 0 = -117*d + 122*d - 270. Calculate the remainder when d is divided by b.
16
Let w(g) = -2*g**3 - g**2 + 2*g + 8. Let o be w(-4). Suppose -l = 3*l - o. Calculate the remainder when 53 is divided by 6/(-21) + 512/l.
17
Let c = 3056 + -2968. Calculate the remainder when c is divided by (248/16)/((-1)/(-2)).
26
Suppose 2*x - 528 = -23*k + 15*k, -3*k = -2*x - 209. What is the remainder when 330 is divided by k?
62
Suppose 0 = 11*z - 99 - 275. Suppose -7*f + 3*f + 432 = 0. Suppose -4*t + 5*k = -420, 2*k = t - 0*k - f. Calculate the remainder when t is divided by z.
32
Let b(r) = -4*r. Let g be b(2). What is the remainder when 160 is divided by (3 + 1)/(3*g/(-36))?
4
Suppose -o + 3*a = 2, -8*a + 5 = -3*a. What is the remainder when o/((-3)/(-159) - 0) is divided by 18?
17
Calculate the remainder when 2968 is divided by (240/108)/((-22)/(-297)).
28
Suppose v - 17*d - 1043 = -14*d, 4*v - 4116 = 4*d. What is the remainder when v is divided by 56?
14
Let d(k) = -k**3 - k + 155. Let v = 16 - 12. Suppose 4*q - v*r = -19 + 3, 3*q + 2*r - 8 = 0. Calculate the remainder when d(q) is divided by 39.
38
Suppose -6*f = -9*f - 3, -c - 4*f + 71 = 0. Calculate the remainder when c is divided by 7.
5
Let r be (-148)/(-4) - (-8)/(-8). Let l = 2 + r. Calculate the remainder when 150 is divided by l.
36
Let f(l) = -l**2 - 17*l + 25. Let p(i) = 2*i**2 + 32*i - 51. Let n(o) = 5*f(o) + 3*p(o). Calculate the remainder when 90 is divided by n(-14).
6
Suppose -20 - 136 = -3*i. Let d(v) = 70*v - 107. Let h be d(-6). Let x = -324 - h. What is the remainder when x is divided by i?
47
Let z = -196 + 201. Suppose -z*h = 3*h - 88. What is the remainder when 63 is divided by h?
8
Let d = -6276 + 6722. What is the remainder when 1804 is divided by d?
20
Suppose 7*l - 15*l + 16256 = 0. Let v = l - 1433. Calculate the remainder when v is divided by 25.
24
Let x(k) = k**2 + 121*k - 5641. Let j(c) = 4*c. Let y be j(6). Calculate the remainder when (y - 4)*(1 + 0) is divided by x(36).
9
Let z = 124 + -89. Suppose -9*j = -11*j - 4*d + 488, 4*