ate the remainder when 22 is divided by b.
4
Let b = 20 - 19. Let x(u) = -62*u + 2. Let j be x(b). Calculate the remainder when 69 is divided by 270/j*(-1 - 26/6).
21
Let v be 2 - -13 - (-7 + 3). Suppose -v*w = -3437 - 610. Calculate the remainder when w is divided by 27.
24
What is the remainder when 1/(20/3565) - 6/(-8) is divided by (6/(-8) - (-200)/160)/(2/240)?
59
Calculate the remainder when -8 + 3 - (-2 - -5 - 3510/15) is divided by 90.
46
Suppose 139*n - 1656 = 142*n. Let p = 595 + n. What is the remainder when p is divided by 9?
7
Let g(h) = h**3 - 12*h**2 + 6*h + 63. What is the remainder when 70 is divided by g(11)?
6
Suppose 0 = -18*j + 102 - 30. Calculate the remainder when (103 + 0 - -4)*1 - j is divided by 12/(-3) + (18 - 1).
12
Suppose 5*u = 4*a + 3589, -3*a + 0*a = -2*u + 1430. Calculate the remainder when u is divided by 180.
1
Suppose 4*t + 76 = 4*u, -2*t + 51 + 72 = 5*u. Suppose -8*d + 704 = -0*d. Calculate the remainder when d is divided by u.
19
Calculate the remainder when ((-4)/((-12)/(-969)))/(-5*1/25) is divided by 49.
47
Let i = -319 - -322. Calculate the remainder when 505 is divided by 50 + 2/i*24/16.
46
Let d(t) = 47*t - 38. Let l be d(10). Let s = 455 - l. What is the remainder when 73 is divided by s?
4
Let i be (-180)/(-25)*3/((-36)/(-20)). Suppose 0 = i*h - 13 - 203. What is the remainder when 135 is divided by h?
9
Let p be 3/(1*1*(-3)/(-2)). Suppose -6 = -4*i + p*i, 2*s = 2*i + 320. What is the remainder when s is divided by 42?
37
Let c(j) = j + 6. Suppose -4*l + 5*w + 248 = 0, 13*l - 2*w = 17*l - 220. Calculate the remainder when l is divided by c(10).
9
Suppose 1304*x - 3*d = 1307*x - 123, 5*x - 185 = -d. Calculate the remainder when 991 is divided by x.
19
Let i(w) = -13*w**2 + 55*w + 19. Let a(f) = 4*f**2 - 19*f - 6. Let s(q) = -10*a(q) - 3*i(q). Calculate the remainder when 757 is divided by s(22).
67
Let g = -22 - -36. What is the remainder when 1752/30 + -7 - (-6)/(-15) is divided by g?
9
Suppose 6417 = 53*y - 3547. What is the remainder when 749 is divided by y?
185
Let f be 12/(-30) - (-406)/(-35). What is the remainder when 110 is divided by 2/f - 516/(-72)?
5
Suppose 0 = 9*o - 16*o + 63. Calculate the remainder when (1 + -2)/(1/(-38)) is divided by o.
2
Let v(y) be the first derivative of -33*y**2 + 38*y + 172. What is the remainder when v(-1) is divided by 53?
51
Let b(g) = g - 4. Suppose 0 = p + 17 - 27. Let u be b(p). Suppose 8*z = u*z + 38. Calculate the remainder when z is divided by 5.
4
Suppose -n + 9*n = -34*n + 5208. Calculate the remainder when 982 is divided by n.
114
Suppose 9*i - 4280 = 319. Let r = 531 - i. Calculate the remainder when 25 is divided by r.
5
Let y = 26947 - 26899. Calculate the remainder when 1539 is divided by y.
3
Let d(p) = -p. Let a(m) = 22*m - 35. Let t(y) = a(y) - d(y). Calculate the remainder when t(8) is divided by 14.
9
Let i(d) = 15*d + 55. Let k be i(8). Let u = k - 169. Calculate the remainder when u is divided by 5.
1
Let q(l) = -6*l**3 - 8*l**2 + 9*l + 80. What is the remainder when q(-5) is divided by 6?
3
Let r(k) = 56*k + 1042. Calculate the remainder when 2037 is divided by r(-18).
31
Suppose -2*q + 63 = q. Calculate the remainder when 65 is divided by 7/((-7)/4) + q - 4.
0
Let z = 7115 - 7021. Calculate the remainder when 1123 is divided by z.
89
Let m = 211 - 191. What is the remainder when 47 is divided by m?
7
Suppose 1770*v - 1775*v + 134 = -3*o, 0 = v + 4*o - 82. Let p = 18 + -5. Calculate the remainder when v is divided by p.
8
Suppose 0 = 31*p - 65*p + 1428. Suppose -157 = -p*y + 221. What is the remainder when 17/((-2)/(4/(-2))) is divided by y?
8
Suppose 22*i - 73 + 1239 = 0. Let y = 138 + i. What is the remainder when y is divided by 4?
1
Let n = -5069 + 6012. Calculate the remainder when n is divided by 305.
28
Suppose -2*x + 435 = a, 1412 = 2*a - 5*x + 479. Suppose 4*z - 144 = 4*u - 0*u, 3*u = -5*z + 220. Calculate the remainder when a is divided by z.
39
Suppose -21*k = -1671 + 369. Suppose -66*m + 128 = -k*m. Calculate the remainder when 158 is divided by m.
30
Let l(d) = d**2 - 6*d + 12. Let x be l(4). Suppose t = -m + 25, x*m - 90 = t - 0*t. Calculate the remainder when 27 is divided by m.
4
Suppose 4 = s, -s - 111 = 4*i - 983. What is the remainder when 287 is divided by i?
70
Let n be 24/10*(40/(-16) + 5). Let j(v) = -v**3 + 9*v**2 - 15*v + 12. What is the remainder when j(n) is divided by 11?
8
Suppose 1 = 4*d - 235. Let g = 8 + d. Let y = g - 7. What is the remainder when y is divided by 21?
18
Let p(h) = 298*h - 851. Calculate the remainder when p(6) is divided by 105.
97
Let l(b) = -14*b**2 - 185*b - 599. Suppose -7 = -2*a - 2*i + 1, -5*a + 22 = 4*i. What is the remainder when l(-7) is divided by a?
4
Let i = -20 - -26. Let l = 7 - i. What is the remainder when l*-3*(-52)/12 is divided by 6?
1
Suppose 1364*x = 1333*x + 11377. What is the remainder when 604 is divided by x?
237
What is the remainder when 32 is divided by -1*(5 - 6) + (0 - -9)?
2
Suppose -2*g + 5*g - 243 = 0. Let j(q) = q**2 - q - 2. Let c be j(3). Let d(k) = 11*k - 22. What is the remainder when g is divided by d(c)?
15
Suppose 53*f = 48*f. Suppose -p + 2*g + 17 = f, 2*g + 17 = -4*p + 45. What is the remainder when 169 is divided by 6/p*(7 - -44)?
33
Let f = -7 - 327. Let j = 385 + f. Calculate the remainder when j is divided by 28.
23
Suppose 84*d - 2850 - 1182 = 0. What is the remainder when 274 is divided by d?
34
Suppose -8*f = -275 + 6187. Let o = -718 - f. Calculate the remainder when 79 is divided by o.
16
Suppose -2*d + 81 = 55. Let s(v) be the second derivative of v**5/20 + 2*v**4/3 + 5*v**3/3 + 11*v**2/2 - 10*v. What is the remainder when s(-6) is divided by d?
10
Suppose -11*d - 36 = 360. Let s = d + 286. Calculate the remainder when s is divided by 12.
10
Suppose 3*p + 122 + 271 = 3*d, 246 = 2*d + 2*p. What is the remainder when d is divided by 32?
31
What is the remainder when (-2)/(0 - -2) + 70 is divided by (-114)/(-8) + (8 - (2310/88 + -18))?
13
Let g(u) = 179*u - 1272. Calculate the remainder when g(13) is divided by 268.
251
Suppose -420 = 6*k + 48. Let a be (-27 + 1)*(-10)/(-4). Let l = a - k. What is the remainder when 24 is divided by l?
11
Let t(j) = -j**2 + 13*j + 31. Let h be t(15). Suppose o - h - 5 = 0. Let v(d) = 2*d**3 - 3*d**2 - d + 4. Calculate the remainder when v(3) is divided by o.
4
Let q = -3 - -3. Suppose 0*h + h - 49 = q. Let s = 316638 - 316625. Calculate the remainder when h is divided by s.
10
Let x(h) = h**3 + 19*h**2 + 24*h + 33. Let z be x(-17). Let i = z - 177. What is the remainder when i is divided by 7?
5
Let s = -1106 + 1584. Suppose 2756 + s = 33*l. Calculate the remainder when l is divided by 39.
20
Let g(i) = i**2 + 4*i - 75. Let n be g(7). Suppose 3*k + 69 = 3*j, -5*j = -0*j - n*k - 109. Calculate the remainder when j is divided by 13.
8
Suppose 2*o = 2*z - 18, 3*z = -3*o - 16 + 55. Let b(d) = -9*d + 22. Let v be b(z). Let x = v - -172. What is the remainder when x is divided by 16?
15
Let v(r) = 42*r + 5185. What is the remainder when 307 is divided by v(-117)?
36
Suppose -79010 = 148*p - 229082. What is the remainder when p is divided by 131?
97
Suppose -17*k = -10*k - 32 - 3. What is the remainder when 963 is divided by k?
3
Suppose -183*i + 181*i - 366 = 0. Let p = 246 + i. What is the remainder when p is divided by 17?
12
Suppose 4*b - 148 = -4*i, -4*i = -3*b - 145 + 235. Calculate the remainder when 100 is divided by b.
32
Let j(i) = 3*i**3 + 10*i**2 - 22*i - 70. Suppose 10 = 2*o - 60. Suppose 7 = -4*s + o. What is the remainder when s is divided by j(-3)?
2
Let f be 4 + (5 - 3) + 19. Suppose -z - f*z = -598. What is the remainder when 36 is divided by z?
13
Let z be (-763)/(-35) - (-36)/30. Suppose 0 = -z*s + 58 + 149. Let y(w) = w**3 - w + 17. Calculate the remainder when y(0) is divided by s.
8
Let v(h) = 4*h**2 - 5*h + 11. Let u(b) = b**3 + 16*b**2 + 30*b + 15. Calculate the remainder when u(-13) is divided by v(-3).
8
Suppose -3*a + 17*a = 28. Let b(t) = 0 - 1 + 783*t**2 + 29*t - 784*t**a. What is the remainder when b(28) is divided by 3?
0
Let y be ((-10)/(-7))/((-4)/(-14)). Suppose -y*w - 155 = -0*w. Let u = w - -40. Calculate the remainder when 41 is divided by u.
5
Suppose -211*l = -138*l -