Suppose 0 = 9*b - 17*b + 71 + 145. Suppose -5*i + 20 = 5*v, -3*i + 2*i = 5*v + 16. What is the remainder when b is divided by i?
0
Suppose -51 = -3*p + 66. Let v = -724 - -871. What is the remainder when v is divided by p?
30
Suppose 35*o - 37*o = -314. Let c = -86 + o. Suppose -c*i - 73 = -72*i. What is the remainder when i is divided by 38?
35
Let a be (4 - 3)/2 - 55/(-10). Suppose -2*q + 18 - 106 = -3*h, -a = 3*q. Calculate the remainder when 278 is divided by h.
26
Suppose -812 = 44963*d - 45021*d. Suppose -1 = -4*z - 5*n + 10, -3 = -2*z - 5*n. What is the remainder when d is divided by z?
2
Let v(x) = 3*x**2 + 5*x + 2. Suppose 0*s - 4*i = 4*s + 264, 198 = -3*s - 5*i. Let j = s + 62. What is the remainder when 89 is divided by v(j)?
29
Let w(r) = -4*r + 13. Let l(v) = -2*v + 6. Let m(k) = 13*l(k) - 6*w(k). Let b be m(0). Calculate the remainder when 102 is divided by (54 + 1 - b) + -3.
50
Let k = -1790 - -2157. What is the remainder when k is divided by 353?
14
Let w be (-98)/(-28) - 9/(-6). Suppose -30 = w*v - 340. What is the remainder when v is divided by (54/24)/(2/16)?
8
Suppose -3*i = -3*r - 90, -5*i - 70*r + 65*r + 240 = 0. Let y be (-7 + 1)/(2/(-17)). Let h = y + -30. Calculate the remainder when i is divided by h.
18
Let y(r) = 4*r**2 - 4*r - 38. Let s be y(9). Calculate the remainder when 31 is divided by s/15*(-3)/(-2).
6
Let c(f) = -53*f - 27. Calculate the remainder when (-1 + 0)/((-5)/245) is divided by c(-1).
23
Let f = -3661 + 3815. Calculate the remainder when f is divided by 31.
30
Let a(k) = k**3 - 14*k**2 + 45*k + 35. Calculate the remainder when 206 is divided by a(8).
8
Suppose 0 = -5*n - 30, 0 = 5*q - n - 290 - 91. What is the remainder when 4499 is divided by q?
74
Suppose 6*b - 112 = -2*b. Calculate the remainder when 66/110 - 3/(15/(-122)) is divided by b.
11
Suppose 2*v + t = 7*v - 593, -v = 3*t - 125. Suppose -3*u - v = -c, -4*c = -0*c + 5*u - 459. What is the remainder when 37 is divided by 6*-1*c/(-87)?
5
Suppose -192 = -99*x + 402. What is the remainder when 46 is divided by x?
4
Let k be 56*((156/42 - 3) + 1/7). Let u(l) = -l**2 - 5*l - 3. Let w be u(-5). Let m = k - w. What is the remainder when m is divided by 9?
6
Suppose -4*j = -4*y - 2*j + 10, -j - 5 = 0. Suppose -4*d - 2*l + y*l = -222, 3*l + 45 = d. What is the remainder when d is divided by 4?
2
Let g = 2 + 30. Let s = 582148 - 581670. Calculate the remainder when s is divided by g.
30
Let s(a) = -5*a + 45. Let k be s(6). Suppose -12*z + 21 = 3*b - k*z, 2*z = 0. Calculate the remainder when b is divided by 1.
0
Let u = -39558 + 39569. Calculate the remainder when 207 is divided by u.
9
Let a(r) = 4*r**2 + 4*r + 4. Calculate the remainder when a(-8) is divided by 1174/30 - (-92)/(-690).
33
Suppose -146*j + 242 = -145*j - 3*m, -5*m - 722 = -3*j. Calculate the remainder when j is divided by 89.
61
Let j = 1 - 2. Calculate the remainder when (-2)/(-1) + 41 + j is divided by (110/20 + 6)/((-10)/(-4) - 2).
19
Suppose 3*z + 255 = z - 7*a, a = -1. Let g = -74 - z. What is the remainder when g is divided by 4?
2
Let t(a) = -17*a - 141. Let b be t(-9). Let u(w) = -w**3 + 15*w**2 - 30*w - 8. Calculate the remainder when 71 is divided by u(b).
7
Let r = 46753 - 46730. What is the remainder when (-182 - -2)*2/(-4) is divided by r?
21
Suppose 0 = 5*r - 4*u - 60, r - 3*u - 36 = -2*r. Calculate the remainder when 51 is divided by r.
3
Let q = 167 - -425. What is the remainder when (-2)/(-5) - q/(-20) is divided by 86 + -94 + (-24)/(-1)?
14
Let o = -31 - -49. Let v be 2 + (-13)/(-6) - 3/o. Suppose -2*x = 8, 2*z + 6*x - v*x - 96 = 0. What is the remainder when z is divided by 18?
16
Calculate the remainder when (-6)/(-10) - (-118609)/85 is divided by 21.
10
Suppose r - 3*r + g + 149 = 0, 3*g - 400 = -5*r. Calculate the remainder when r is divided by (1584/(-54))/(12/(-9)).
11
Suppose -2*f = -0*f - 4, -2*s + 4*f = -16. Let j be (s/(-20) - -1) + (-12)/5. What is the remainder when j/(2/(-27)) - 2 - 1 is divided by 7?
3
Let j = -11754 - -12508. Calculate the remainder when j is divided by 75.
4
Suppose 4*m - 1108 = r, -5*m - 564 = -7*m - 2*r. Calculate the remainder when 279 is divided by m.
1
Let g = -44 - 156. Let w = -60 + 69. What is the remainder when 2/3 - g/24 is divided by w?
0
Let n(t) = -t**3 - 21*t**2 - t + 8. Suppose -5*w + 6 = -4*w - 5*p, 5*w + p = -74. Let u = -6 - w. Calculate the remainder when n(-21) is divided by u.
5
Let g be ((-3 - -2)*-2)/((-2)/3). Let l = 22 + g. Calculate the remainder when 53 is divided by l.
15
Let y(d) = d**2 + 17*d + 46. Suppose -15*v + 11*v - 56 = 0. Let j be y(v). Suppose -j*x - 87 = -7*x. Calculate the remainder when 86 is divided by x.
28
Suppose 2*p = -4*c + 18444, 27648 = 3*p + 24*c - 21*c. What is the remainder when p is divided by 61?
60
Let z(f) = -f**3 + 22*f**2 + 45*f + 72. Let u be z(24). Suppose u = 10*o - 45 - 105. What is the remainder when 508 is divided by o?
13
Let m(b) be the first derivative of -b**3/3 + 11*b**2/2 + 8*b + 9. Let r be m(-13). Calculate the remainder when 150 is divided by (-1)/(312/r + (-2)/(-2)).
36
Let u = 404 + -310. Suppose 0*w + 100 = -4*w. Let q = w + 49. Calculate the remainder when u is divided by q.
22
Let b(m) = m**2 + 50*m - 398. Calculate the remainder when 152 is divided by b(7).
0
Suppose 0 = -2*r - 3*s + 30, 0 = s + 3 - 5. Suppose -3*i + 69 = -r. Let o(p) = p**3 + 6*p**2 + 5*p + 12. What is the remainder when i is divided by o(-5)?
3
Suppose 4*d = -5*v + 1768, -23*v = 5*d - 26*v - 2173. Calculate the remainder when d is divided by 34.
29
What is the remainder when 297 is divided by 2/11 - 109/(45562/(-41724))?
97
Let c = 296459 + -296435. What is the remainder when (-3)/(-2)*(-564)/(-9) is divided by c?
22
Suppose 4*f = 3*q + 38, -3*f - 3*q = -0*f - 39. Suppose f*l - 6*l - 30 = 0. Let u = l - -13. What is the remainder when u is divided by 5?
4
Suppose -16*t - 10 = -21*t. Let x be 3*t/3 + -3 + -123. Let j = -62 - x. Calculate the remainder when j is divided by 7.
6
Let k be -3 + (3 - (80 + -3)). Let w = -77 - k. Suppose 425 = 5*x + 5*y, 4*y + w - 12 = 0. What is the remainder when x is divided by 21?
19
Suppose 3*g - 123*s - 136 = -124*s, 48 = g - s. Suppose -4*a - 4 = -12. Suppose 0 = 6*k - a*k - 728. Calculate the remainder when k is divided by g.
44
Let o be 0 - -1 - (27 + -1). Let a be (-39)/(234/(-8))*117/4. Let z = o + a. What is the remainder when 83 is divided by z?
13
Let y be 90/(-36)*52/(-5). Let w = y + -24. Suppose w*v + 11 = 3*v. What is the remainder when 20 is divided by v?
9
Suppose t - 2*m = -0*t - 10, 5*m = -3*t + 14. Let x be (-2 + 0)/1*t. Suppose -4*g + 200 = x*y, 7 - 9 = -y. What is the remainder when 141 is divided by g?
45
Suppose j - 146 = -2*s, s = j + 6*s - 137. Suppose 2*h - j = -4*f - 0*f, 0 = -h. Calculate the remainder when f is divided by 18.
2
Calculate the remainder when (-1 - -2) + -1 + 37 is divided by (112/(-416))/(45/(-1170)).
2
Suppose 5*x + 5*n = 57725, -2*n = -2*x - 1476 + 24546. Calculate the remainder when x is divided by 7.
4
Let m(z) = z + 7. Let p = 0 + -4. Let y be m(p). Suppose -2*o = -y*o + 14. What is the remainder when 37 is divided by o?
9
Suppose 0 = -4*y + 3*m + 358, -2*y = -8*m + 12*m - 146. Calculate the remainder when 223 is divided by y.
53
Suppose 0 = m - g - 11, -206 = -3*m - 4*g - 152. Calculate the remainder when 332 is divided by m.
10
Suppose -140 = -2*f - 2*j, -5*f + 5*j = -3*f - 133. Calculate the remainder when 205 + 5 + -17 + -58 is divided by f.
66
Let b be (-6)/(-63) - (-5765)/105. Calculate the remainder when b + (18 + 0)/3 is divided by 26.
9
Suppose -2*x + 3*q + 24 = 8*q, x - 10 = -3*q. Let p(o) = o**2 - o - 1. What is the remainder when p(-7) is divided by x?
11
Let c(n) = 6*n + 1 - 23*n + 11 - n**2 + 2*n**2. Let l be c(18). Suppose 9*j + l = 93. What is the remainder when j is divided by 1?
0
Suppose 2 - 22 = -2*f. Suppose -3*u + f = -a + u, -2*u + 16 = 5*a. Suppose -49 - 3 = -a*m. What is the remainder when m is divided by 14?
12
Suppose 2*u = 114 + 142. What is the remainder when 118 is divided by (-5)/((-10)/u) + -4?
58
Suppose -2*p - 3*p + 3*a = -15, -a = -3*p + 5. Calculate the remainder when 1 + p + 150/1 is divided by 38.
37
Let x(g) = -g**3 + 19*g**2 - 47*g - 13. Let c be x(16). Suppose -2*n