2). Calculate the remainder when q/232 + (-753)/(-8) is divided by 49.
45
Suppose -330 = 9*x + x. Let g(k) = -k**3 - 34*k**2 - 37*k - 32. Calculate the remainder when g(x) is divided by 34.
32
Let v = 2979 - 2649. Calculate the remainder when v is divided by 27.
6
Let u be ((-2)/(-4))/((-12)/384). Let j be (-348)/u*(-1 + 33). What is the remainder when 2/(-7) + (j/21)/4 is divided by 6?
2
Let g = 108 + -111. Let n(f) = -f**3 + f**2 - 3*f + 3. Let l be n(g). Let z = 53 - l. What is the remainder when 19 is divided by z?
4
What is the remainder when 216 is divided by 2/(-25) - 3971/(-550)*14?
14
Suppose -2*f - 14*c - 937 = -15*c, -2*f + 2*c = 936. Let v = -392 - f. What is the remainder when v is divided by 19?
1
What is the remainder when (-2)/((-2)/123) + 0 is divided by (0 - (-186)/6)*14/7?
61
Suppose -4*g + 4195 = 5*y, -4*g + 2*y - 1051 = -5*g. Calculate the remainder when g is divided by 150.
145
Let g = 9146 - 9134. What is the remainder when (4 - 9/(-6))*222 is divided by g?
9
Let x = -164 - -301. Suppose -4*b - x = -3*d, 0 = -3*b + 3. Suppose 5*w - s - 3*s = d, -3*w + 5*s = -23. Calculate the remainder when w is divided by 3.
2
Let g = 5585 - 5235. Calculate the remainder when g is divided by 71.
66
Suppose -98 = n - 2*n. Suppose 2*p = -2*r + 196, 134 = -3*p - 4*r + 427. Suppose 71*g = 68*g + p. Calculate the remainder when n is divided by g.
32
Let u(y) = -y**3 + 4*y**2 - 2*y + 4. Suppose 47 = -p + 4*p + j, -3*j + 36 = 2*p. Suppose -p - 37 = -2*i. What is the remainder when i is divided by u(3)?
5
Let z(b) = -b**2 - 8*b + 55. Suppose -35*i = 343 + 42. What is the remainder when 130 is divided by z(i)?
20
Let a(y) = 4*y**2 - 72*y + 70. What is the remainder when a(19) is divided by 15?
11
Let k = 12457 + -12366. Calculate the remainder when 5546 is divided by k.
86
Suppose 0 = -8*l - 2 - 14. Let j be ((0/l)/(-3))/2. What is the remainder when ((8 - (3 + j)) + 3)*4 is divided by 9?
5
Let s = 15 + -7. Suppose 0 = -2*a + 5*n + 3, 5*a - 4*n - 27 + 11 = 0. What is the remainder when 31 - a - (-2)/1 is divided by s?
5
Let i(z) = 2*z**3 - 62*z**2 + 3*z + 4. Let j be i(31). Suppose 127 = 6*h + j. What is the remainder when 9 is divided by h?
4
Suppose 33 = 2*c - 7. Let y(q) = 2*q + 82. Let h be y(-28). Calculate the remainder when c is divided by 100/h - (-32)/208.
0
Let l(v) = v**3 + 11*v**2 - 5*v - 16. Let d be l(-11). Suppose -s = -m - 0*s + d, -2*m + 86 = -4*s. What is the remainder when m is divided by (0 + (12 - 3))/1?
8
Let w be 1*(-3 - (-9 + 3)) + 1. Suppose -w*r - 139 - 133 = 0. Let h = -28 - r. What is the remainder when h is divided by 14?
12
Suppose 22113 = 182*h + 273. What is the remainder when 264 is divided by h?
24
Suppose -4*a + j + 113 = 0, -a + 122 = 3*a + 2*j. Let x = -22 + a. Suppose x*q - 11 - 17 = 0. Calculate the remainder when 11 is divided by q.
3
Suppose b - 1 + 3 = -q, 0 = -3*b + 3*q + 24. Suppose 3*w + 3*m = 10 + 2, 0 = b*w + 2*m - 16. Calculate the remainder when 27 is divided by w.
3
Suppose 140 = p + 5*h, 0 = 3*p - 5*p - 5*h + 270. Suppose -3*l = t - 29, -3*l + 4*t - 6*t + 22 = 0. Calculate the remainder when p is divided by l.
10
Let l = -198 - -336. Let x = -227 - -274. Calculate the remainder when l is divided by x.
44
Suppose -362*p + 804*p = 375*p + 1206. Suppose -o = 3*o. Suppose -x - x = 5*m - 15, 2*m - 2 = o. Calculate the remainder when p is divided by x.
3
Let b(f) = -8*f**2 - 18*f - 34. Let q be b(-4). Let c = q + 125. Calculate the remainder when 63 is divided by c.
28
Let m(b) = 40*b + 27. Suppose -3*r = -7*r - 2*f + 54, 4*r = -f + 49. Calculate the remainder when m(r) is divided by 36.
35
Suppose 8*j = -7*j - c + 644, -5*j = 3*c - 212. What is the remainder when 1845 is divided by j?
39
Let z be ((-4)/10 + 0)/(76/(-760)). What is the remainder when (48 + (0 - -6))*2/z is divided by 96/7 + 4/14?
13
Let n = 214 - 166. Suppose 0 = -3*s - o + n, -4*s + 0*o = 2*o - 62. What is the remainder when 65 is divided by s?
14
Let q(h) = 5*h + 76. Calculate the remainder when 257 is divided by q(3).
75
Let f(d) = 0 - 2*d - 2*d - 4 + 2. Suppose -x + 4*g + 69 = 0, 4*x - 4*g = x + 207. Calculate the remainder when x is divided by f(-4).
13
Let y(w) = 62*w**3 + w**2 + 3*w. Let v be y(2). Let z = -381 + v. What is the remainder when z is divided by 29?
9
Let p(o) = -o**3 - o**2 + 19*o + 4. Let c be p(-5). Calculate the remainder when 31 is divided by 6/c*1131/26.
2
Let b = 9 - -45. Suppose 3*l - 3*g - 660 = 0, 0 = -5*l + g - 2723 + 3783. Calculate the remainder when l is divided by b.
48
Suppose 346*j = 130*j - 536*j + 137616. Suppose 0 = -p + d + 61, 4*d = -p - 0*p + 71. What is the remainder when j is divided by p?
57
Let d(a) = -1 - 11*a - a + 3*a. Suppose t + 37*t + 38*t = -76. What is the remainder when d(t) is divided by 7?
1
Let y(v) = -v**3 + 56*v**2 + 667*v - 406. What is the remainder when 955 is divided by y(66)?
3
Let b(s) = -s**3 + 15*s**2 - 8*s - 26. Let v be b(15). Let h = v + 182. What is the remainder when 105 is divided by h?
33
Let c(u) be the second derivative of -3*u**5/20 - 4*u**4/3 + u**3/2 + 19*u**2 + 89*u. What is the remainder when 167 is divided by c(-6)?
75
Suppose -7*c - 14*c + 7776 = 6*c. What is the remainder when 561 is divided by c?
273
Suppose -5*i = 20, -1090*i + 1091*i - 3004 = -4*r. What is the remainder when r is divided by 137?
67
Calculate the remainder when 5689/4 + (0 - (-2)/(-8)) + -4 is divided by 49.
46
Let p(w) = -w**3 + 3*w**2 + 17*w - 10. Let y be p(7). Let d = -66 - y. What is the remainder when 37 is divided by d?
16
Let h be (8 + -2)*(-33)/(-6). Let j = h - 12. Calculate the remainder when j is divided by (-6)/(-3) - (-14 - (-9)/3).
8
Let y be ((-72)/15)/((-2)/(1 - -389)). Suppose 0 = 13*o - 0*o - y. Let b = -14 - -39. What is the remainder when o is divided by b?
22
Let v be -7 + (-8)/(-2) - -8. Suppose -3*b - 3*w + 2*w = -36, -v*b = w - 62. Calculate the remainder when 126 is divided by b.
9
Suppose 33*v = 83*v - 19300. What is the remainder when v is divided by 22?
12
Suppose 5*f + 0*r = r + 675, -r - 407 = -3*f. Suppose 2*v - n - f = 0, 2*v - 122 = 2*n + 14. Let x = 113 - v. What is the remainder when x is divided by 12?
11
Let c = -140 - -1. Let j = c - -159. Suppose 9*a - 2*a = 406. Calculate the remainder when a is divided by j.
18
Let z(d) = 4*d - 30. Let t(m) = m**2 - 3*m - 1. Let r(b) = t(b) - z(b). What is the remainder when r(7) is divided by 5?
4
Let y(c) = -4*c. Let z be -15 + (-8 - -1) + 3. Let b(v) = v**2 + 30*v + 213. What is the remainder when y(-6) is divided by b(z)?
0
What is the remainder when 27*38/(-2)*(-11 - -14)*-1 is divided by 140?
139
Let w(k) = -k**3 + k + 148. Let n be w(0). Suppose 8*u + 44 = -n. What is the remainder when 9 is divided by ((-9)/12)/(((-2)/u)/(-1))?
0
Let m be (50/40)/((-1)/(-112)). Suppose -19*u + m = u. What is the remainder when 15 is divided by u?
1
Suppose 0 = -3*q + 1304 + 184. Suppose 4*h = 4*b + 384, 4*h = 5*b + q - 116. Suppose -24*x = -22*x - h. Calculate the remainder when 247 is divided by x.
47
Suppose -2*a = -f - 36, 8 = 6*f - 8*f. Suppose 3*l + 382 = 2*y - l, 3*l = 2*y - 377. Let k = -126 + y. What is the remainder when k is divided by a?
7
Let q(n) = -2*n + 25. Let l be q(0). Suppose 14*h - l = 17. Calculate the remainder when 193 is divided by (-1)/(h + 888/(-294)).
46
Let r(a) = a**3 + 6*a**2 - 2*a + 6. Let p(q) = q**3 - 7*q**2 - 44*q + 370. What is the remainder when p(10) is divided by r(-6)?
14
Let l be (-6 + -14)*1/2. Let k be (2 - l/(-4))*-160. Suppose 5*d - k = d. Calculate the remainder when d is divided by 6.
2
Let q = -9373 - -9463. Calculate the remainder when 986 is divided by q.
86
Suppose 46*q - 54*q + 600 = 0. What is the remainder when q is divided by (-26*27/(-72))/((-3)/(-4))?
10
Let w = 62 + -29. Suppose -25 = -m - 2*a + w, 4*a + 318 = 5*m. Let q = 1963 - 1947. What is the remainder when m is divided by q?
14
Suppose -12*u + 118 = -13*u. Calculate the remainder when 192 is divided by u/(-2) + 1 + 15 + -10.
62
Let c(u) = u**3 - 14*u**2 + 2*u + 31. Let m(k) = 2*k**2 - 16*k - 12. Let x be m(10). Let p = x - 14. What is the remainder when c(p) is divided by 10?
9
Calculate the remainder when (1 - 1/((-2)/2))/(620/65410) is divided by 84.
43
Suppose 0 = 3*k + 4*h - 197, 4*h = 40*k - 36