g - 109. Calculate the remainder when b(-15) is divided by 49.
7
Suppose -18*q + 9*q - 189 = 0. Calculate the remainder when (-7)/(q/6) + 490 is divided by 15.
12
Let g = 6364 - 6167. Calculate the remainder when 770 is divided by g.
179
Suppose -3 = j + 1. Let w = -711 - 87. What is the remainder when w/(-9) + (8/3)/j is divided by 30?
28
Suppose 9*c = 5*c + 156. Let f = 69 - c. What is the remainder when 238 is divided by f?
28
Let m = 25 - 25. Suppose m = -v + 2 + 5. Let t = 100 - 74. What is the remainder when t is divided by v?
5
Let r(y) = 5*y**3 + 3*y - 2. Let g be r(1). Suppose -g*w = -3 - 255. Calculate the remainder when 257 is divided by w.
42
Let q(z) = 2*z**3 - 15*z**2 + 47*z + 11. What is the remainder when q(6) is divided by 47?
44
Let r = 60 - 4. Let d = r + -37. What is the remainder when 48 is divided by d?
10
What is the remainder when -1*(7 + -3362) + 9 is divided by 102?
100
Suppose 15*w + 75*w = 6750. What is the remainder when 974 is divided by w?
74
Suppose 6 = 3*q, 3*m + 8*q - 13*q = 2378. What is the remainder when m is divided by 100?
96
Let s be 20/6 + (-19)/57. Let z = -20 - -28. Suppose 0 = 5*v, s*t - 18 = -z*v + 4*v. Calculate the remainder when 21 is divided by t.
3
Let i(z) = 122*z**2 - 56*z + 425. What is the remainder when i(6) is divided by 118?
115
Let v(o) = 10 - 10*o**2 - 9*o**2 + 5*o + 10*o**2 + 0*o**3 + 5*o**3. What is the remainder when v(3) is divided by 33?
13
Let n(m) = -m**3 + 5*m**2 + 2*m + 3. Suppose -5*u + 7 = i, 2*i - 12 - 2 = 4*u. What is the remainder when n(5) is divided by i - ((-12)/4 + 4)?
1
Let b(c) = 8*c**2 + 485*c - 1467. Calculate the remainder when b(3) is divided by 9*(2 - 1/1).
6
Suppose 3*i + 7 = -4*u + 3, -1 = -5*i + u. What is the remainder when 9/6 - (-4)/((-24)/(-183)) is divided by (13 - i) + (2 - 1 - -3)?
15
Suppose 48 + 74 = s. Suppose -4*h + 299 = 5*f, -4*f - 4*h = -2*f - s. Let z = 2757 + -2736. Calculate the remainder when f is divided by z.
17
Let o = -22073 + 22092. Calculate the remainder when o is divided by 6.
1
Calculate the remainder when (-7)/((-77)/(-132)) - -249 is divided by 33.
6
Let m(x) = -23*x - 8 + 2*x**2 - 56 + 7. Suppose 227 = 5*f + 2*o, -3*f = -7*f - 4*o + 184. What is the remainder when m(18) is divided by f?
42
Suppose 5*v = 4*v - 3, 4*v + 11 = -x. Let k = 3 + x. Calculate the remainder when 76 is divided by k.
0
Let b(h) = -31*h**3 - h**2 + 1. Let o be b(1). Let n = 698 - 709. Let z = n - o. What is the remainder when 58 is divided by z?
18
Suppose -39*b = -85*b + 2300. Calculate the remainder when 6348 is divided by b.
48
Suppose 49 = 4*r - l, 2*r - 7*r - 2*l + 71 = 0. Let a(v) = 27*v + 2322. Calculate the remainder when a(-77) is divided by r.
9
Let h(l) = -24*l. Suppose 4*x = 75 + 1. Let m = x - 14. Calculate the remainder when h(-1) is divided by m.
4
Suppose -4*f + 3*n + 150 = 0, 5*n + 82 - 14 = 2*f. Calculate the remainder when 2159 is divided by f.
14
Suppose 107 - 1708 = -16*z + 463. Suppose 6*t - 8 = 5*t. What is the remainder when z is divided by t?
1
Let v(q) = -65*q + 20. Calculate the remainder when v(-5) is divided by -9 + (5 - 9) + 57.
37
Let t(h) = 2*h**2 - 17*h - 93. Let o be t(-9). Let u = 227 - o. Suppose -4*x + 37 = -19. What is the remainder when x is divided by u?
4
Let y(f) = -9*f**3 - 1 + 5*f**3 + 28*f + 5*f**3 - 9 - 5*f**2. Calculate the remainder when y(6) is divided by 28.
26
Suppose -539*r - 14*r = -411432. Calculate the remainder when r is divided by 90.
24
Suppose -2*u + 110 + 70 = -2*i, -3*i + 78 = u. Calculate the remainder when u is divided by ((-22)/10)/((-168)/(-35) + -5).
10
Suppose 4*k = 5*s + 2959, -5*s = 24*k - 29*k + 3695. Calculate the remainder when 1482 is divided by k.
10
Let l = 256 + -232. Let f(b) = 2*b**2 + b + 1. Calculate the remainder when f(-6) is divided by l.
19
Let t be 4/(-3)*(-150)/40. Suppose 0 = t*s - 5, 0*s = -3*j + s + 734. Calculate the remainder when j is divided by 82.
81
Let r = 337 - 484. Let i be (-7)/(r/(-6)) + 2/7. Suppose -18*u + 24*u - 174 = i. What is the remainder when u is divided by 6?
5
Suppose -15*w + 5*w = -1210. What is the remainder when w is divided by 32?
25
What is the remainder when -4*(-3)/(0 - -3) - (-2687 - -7) is divided by 17?
15
Let d(i) = 7*i**2 - 5*i**2 - 5 - i**2 + 2*i**2 - 4*i**2 - 11*i. What is the remainder when 167 is divided by d(-4)?
6
Let f(m) = m - 24. Let z be f(22). Let o be -4 - z - (-8 - (-6)/2). Calculate the remainder when 231/6 - o/(-2) is divided by 21.
19
Let l = 1535 - 1425. Calculate the remainder when 327 is divided by l.
107
Suppose -5*t = 3*a - 559, 8*t = -4*a + 9*t + 753. Suppose 2*v + 3*h = 7*h + 26, 5*h = -v + 41. What is the remainder when a is divided by v?
20
Calculate the remainder when 3138 is divided by (58/8)/((-875)/(-1584) - 294/539).
6
Suppose -3*t = -3 - 9. Suppose -q + 0 = 3*f - t, 5*f = -2*q + 8. Suppose -16 = q*s, 4*s + 0 = -i + 2. Calculate the remainder when i is divided by 5.
3
Let q = 248169 - 248159. Let i(m) = 110*m**2 - 1. Calculate the remainder when i(1) is divided by q.
9
Suppose 3*c + 22 = 1, 3*c - 4914 = -5*j. Calculate the remainder when j is divided by 16.
11
Let i(c) be the third derivative of -c**6/120 - c**5/5 - 3*c**4/8 + 25*c**3/3 + 8*c**2 - 4. Calculate the remainder when 223 is divided by i(-11).
27
Let a = 617 + -989. Let x = a + 468. Calculate the remainder when x is divided by 26.
18
Let k(x) = 16*x + 498. Suppose -5*i = -9 - 21. What is the remainder when k(-30) is divided by i?
0
Let j(i) = i**2 - 3*i + 2. Suppose 280 = 27*a - 19*a. Let v = a - 17. Calculate the remainder when v is divided by j(3).
0
What is the remainder when 138 is divided by (-3126)/(-48) + 9/(-30)*(-10)/(-24)?
8
Suppose 0 = 73*u - 77*u + 2*o + 360, 5*o = u - 108. What is the remainder when 702 is divided by u?
86
Suppose 0*z - 1480 = -5*z. Suppose 2*c - 6 - 38 = -u, 0 = -c - 5*u + 13. What is the remainder when z is divided by c?
20
Let v(u) = -u**3 + 196*u**2 - 1317*u - 1048. Suppose -2*r + 32 = -2*f, r = 3*f + 10 + 8. Calculate the remainder when v(189) is divided by r.
11
Suppose -10*m - 268 = -14*m. Let q = m + -72. What is the remainder when (-442)/(-10) - q/100*-4 is divided by 10?
4
Let r(l) = -3*l - 6. Suppose -5*z = 3*s - 451, 5*s = 984*z - 983*z - 135. Calculate the remainder when z is divided by r(-9).
11
Let m = -3134 + 3203. Calculate the remainder when 1516 is divided by m.
67
Let h(m) = m**2 + 7*m - 2. Let b(i) = -2*i**2 + 6*i - 1. Let a be b(4). What is the remainder when (-1)/((-4)/144) + 1 is divided by h(a)?
5
Suppose 0 = -4*t - 3*y - 1485, t + 0*t = -y - 370. Let h = -206 - t. Calculate the remainder when h is divided by 34.
33
Let p = 215 + -383. Let i = p + 331. Calculate the remainder when i is divided by 56.
51
Let f(h) = 2*h**3 - 219*h**2 + 117*h - 863. Calculate the remainder when 122 is divided by f(109).
5
Let f(u) = u**3 + 3*u**2 - 7*u + 16. Calculate the remainder when f(-5) is divided by ((-6)/(5 - 7))/3.
0
Let j = 43048 + -42987. Let n(d) = 2*d**2 - 5*d - 4. Calculate the remainder when j is divided by n(5).
19
Let k(p) = p**2 - 16*p - 92. Let c be k(0). What is the remainder when 58 is divided by (26/104)/((-1)/c)?
12
Suppose -5*j = -627 + 32. Let a = 31307 + -31285. Calculate the remainder when j is divided by a.
9
Let v = -7 - -10. Suppose 183*j = 81*j + 1632. What is the remainder when j is divided by v?
1
Suppose -8*d = 2*x - 4*d - 1842, x + d = 916. Let m = x - 520. Calculate the remainder when m is divided by 14.
13
Suppose 4*q - 11 = -k + 20, 5*q = k + 32. Let o(j) = 2*j**2 - 8*j - 8. Let m be o(q). Suppose 6 + m = c. Calculate the remainder when c is divided by 6.
4
Let u(d) = 4*d - 23 + 15 + 7 + 17 + 17. Let x be 3/9 - (-1)/(-3). What is the remainder when u(x) is divided by 5?
3
Suppose -21 = -423*g + 426*g, -2*l = -3*g - 57. Calculate the remainder when 6203 is divided by l.
11
Let l be 94/8*(-8 + 0)/(-2). Suppose -5*p = -3*v - 281, l - 161 = -2*p + 2*v. Calculate the remainder when p is divided by 14.
13
Let g = 109 + -48. What is the remainder when 658 is divided by g?
48
Suppose 2*o - 2*m + 1168 - 106 = 0, 4*m = -2*o - 1092. Calculate the remainder when 191 is divided by 1*4*(o/(-32) - 7).
35
Let t(u) be the first derivative of u**4/4 + 7*u**3/3 - 7*u**2/2 + 18*u - 42. Cal