 12. Let b be f(y). Calculate the remainder when 14 is divided by l(b).
6
Suppose -69*w + 65*w + 4336 = 0. What is the remainder when w is divided by 136?
132
Suppose -r = v + 2*r, 2*v + 5*r = 0. Suppose -3*s + 59 - 2 = v. What is the remainder when (20466/(-567))/(-1) + 8/(-84) is divided by s?
17
Suppose 2*w = 135 + 47. Let y be (284 + 252)*2/2*2. Let a = y + -1041. What is the remainder when w is divided by a?
29
Suppose 76 = 2*h + l + 52, 0 = -h - 2*l + 15. Calculate the remainder when h is divided by 11 + 0*(-3)/(-9).
0
Let a be (-4 + 37/4)/(15/80). Calculate the remainder when 47 is divided by 32/2 - (a + -12 + -10).
7
Let r = 47 - 43. Suppose 7 - r = h. Calculate the remainder when (2 - (h - -7))*153/(-12) is divided by 15.
12
Suppose 0 = 5*s - 4*s - 1, s + 19 = 5*b. Calculate the remainder when ((-45)/(-20) - 2)*b - -161 is divided by 41.
39
What is the remainder when -4*(57 + -63 - 257/2) is divided by 177?
7
Let w = -207 - -359. Suppose -4*l + 2*l + w = 5*j, -5*l + 5 = 0. What is the remainder when -3 - (-149 + -3)*1 is divided by j?
29
Let l = 1334 - 864. Calculate the remainder when l is divided by 133.
71
Let w(o) = -189*o - 1790. What is the remainder when w(-13) is divided by 7?
2
Let j(s) be the first derivative of 5*s**4/12 - s**2 - 10*s + 16. Let l(z) be the first derivative of j(z). What is the remainder when l(-3) is divided by 9?
7
Let s = 27 + -21. Suppose -s*b + 3388 = 868. Suppose -a - 5*a = -b. Calculate the remainder when a is divided by 6.
4
Let g = -3518 + 3544. Calculate the remainder when 1270 is divided by g.
22
Suppose 0*q + 178 = 2*q. Let o = -3996 - -4029. Let h = q - o. Calculate the remainder when h is divided by 12.
8
Let u(y) be the third derivative of 13*y**4/24 + 49*y**3/2 + 4*y**2 - 20*y. Calculate the remainder when 446 is divided by u(-7).
54
Let o(k) = 7*k**2 - 98*k + 49. Let w(p) = 10*p - 4. Calculate the remainder when o(14) is divided by w(3).
23
Let h(y) = 15*y**2 + 14*y**3 - 12*y**2 - 2 - 5*y**2 + 4*y + 45*y**3. What is the remainder when h(1) is divided by 16?
11
Suppose 3*g = -0*n - 5*n + 2213, 4*n - 5*g - 1800 = 0. What is the remainder when n is divided by 114?
103
Let b(w) = -9*w**2 - 2460*w + 1718. Let x = 42 - 30. What is the remainder when b(-274) is divided by x?
2
Let l be (6285/(-45))/(1/(-12)). Suppose -8*m = -4*m - l. Suppose -3*j - 4*c + 313 = 0, -5*j + j = 5*c - m. What is the remainder when j is divided by 29?
24
Suppose 27*k = 9012 + 384. Suppose -12*c + k = -0*c. What is the remainder when 521 is divided by c?
28
Let s(u) = -u**2 + 12*u + 4. Let h(r) = r**3 + 4*r**2 - 6*r + 6. Let i be h(-5). Calculate the remainder when 104 is divided by s(i).
14
Let a = -22 - -32. Suppose -2*r + 40 + 34 = -4*s, -90 = -3*r + 3*s. Calculate the remainder when r is divided by a.
3
Let j(z) = 51*z - 1249. Calculate the remainder when j(26) is divided by 10.
7
Let b = -6414 - -9293. Calculate the remainder when b is divided by 66.
41
What is the remainder when 1033 is divided by 15300/(-2125)*20/(-9)?
9
Let f(p) = 11*p - 34. Let d be f(5). Let v = 11 - d. What is the remainder when 146 is divided by v/(-2) + (1 - -31)?
35
Suppose 5*y - b = 46, 2*y - 4*b - 5 + 1 = 0. Let r(i) = i**2 + 3*i - 14. Calculate the remainder when r(y) is divided by 3*13/1*1.
38
Suppose 3*n - 1053 = 5*x, 2*x = -4*n + 3*x + 1421. What is the remainder when n is divided by 72?
68
What is the remainder when 198 is divided by (4 + 300/(-24))*-6?
45
Let w = -2 + -35. Let m = w - -48. Calculate the remainder when 98 is divided by m.
10
Calculate the remainder when 4054 is divided by 2/3*858/44.
11
Suppose -2*u + 5*t + 67 = 0, 3*u - 18*t + 23*t - 88 = 0. What is the remainder when 3469 is divided by u?
28
Suppose 29 = 2*q + a, a - 75 - 2 = -5*q. Calculate the remainder when 54 + -29 + (2 - (-5)/(-1)) is divided by q.
6
Let t(f) = 3*f**3 - 4*f**2 + 2*f + 2. Let d be (9/2)/(19/38). What is the remainder when t(2) is divided by ((-6)/d)/((-4)/18)?
2
Let l = 41 - 8. Let t(f) = 4*f**2 + 10*f + 16. Let k be t(-2). Suppose 1387 + 113 = k*c. Calculate the remainder when c is divided by l.
26
Let y = 3356 + -3231. What is the remainder when 1997 is divided by y?
122
Let b(t) = t**2 + 59*t - 4766. What is the remainder when b(58) is divided by 119?
116
Let z(o) = o**3 - 11*o**2 + 14*o + 39. Let h be z(9). Let k(m) = 6*m**3 - 2*m**2 - 10*m + 15. Calculate the remainder when k(h) is divided by 49.
31
Suppose 0 = o - 5*o + 6*j + 12, 2*o = -5*j + 38. Calculate the remainder when 1023 is divided by o.
6
Let r(y) = -2*y**2 - 26*y - 13. Suppose 12*v = 82 - 226. Let m be v + 3 + (-7 - -4). Calculate the remainder when r(m) is divided by 7.
4
Suppose -3*q + 0*q + 32 = -2*o, 2*o + 2 = 0. Suppose j = q - 7. Calculate the remainder when 60 is divided by (j/(-12))/(4/(-304)).
3
Calculate the remainder when (8/48)/((16/120)/(10284/15)) is divided by 26.
25
Let o = 37 + 4. Suppose -a + 5*c = -10, 8*c - 22 = -a + 7*c. Let z = o - a. What is the remainder when z is divided by 5?
1
Suppose 0 = -7*x - 6*x + 15535. Suppose 4*c - 16*o + 11*o = 1624, 0 = -3*c - 2*o + x. What is the remainder when c is divided by 102?
95
Suppose 0*k = -0*k - 13*k + 27963. Calculate the remainder when k is divided by 77.
72
Suppose 4*b - 4*c - 300 = 0, 17*b - 18*b + 66 = -4*c. Calculate the remainder when b is divided by 57.
21
Suppose 1 = 2*m + 3*w, 3*m + w - 18 = 2*w. Suppose m*p = 5*f - 0 + 45, 15 = p + 2*f. Calculate the remainder when 20 is divided by p.
9
Suppose -71*y = -70*y - 2. Calculate the remainder when 263 is divided by y + (65 + 0)*1.
62
Let i = -355 + 215. Let d(g) = 6*g**2 + 29*g - 12. Calculate the remainder when (12/5)/((-6)/i) is divided by d(-6).
26
Let i = 105 + 676. What is the remainder when i is divided by 112?
109
Let f = 326 - 327. Calculate the remainder when 178 is divided by f/(-15) + 674/15.
43
Suppose 0 = -m + 10 - 5. Suppose -j + 2*n = -15, 12*j - 17*j + m*n + 90 = 0. Calculate the remainder when 145 is divided by j.
19
Calculate the remainder when 12999 is divided by 5/4*((-165)/(-25) - -11).
19
Suppose 10*z + 53*z = 11*z + 18564. What is the remainder when z is divided by 55?
27
Let t be (84/8)/(-7) - (-9)/6. Let k(x) be the first derivative of x**4/4 + x**3/3 - 2*x**2 + 23*x - 7. What is the remainder when 43 is divided by k(t)?
20
Suppose -4*z + 3*s + 203 = 0, 5*z - 3*s + 366 = 619. Calculate the remainder when 377 is divided by z.
27
Let d = 466 + -454. Let n(v) = v**3 - 11*v**2 - 3*v - 77. What is the remainder when n(d) is divided by 9?
4
What is the remainder when 3883 is divided by (-396)/(-462) + 41/(-7) + 63?
55
Suppose 4 = -6*y + 8*y. Suppose 0 = -y*u - 2*u - 48. Calculate the remainder when -12*1*-9*(-6)/u is divided by 7.
5
Suppose 0 = -5*a + 3*u + 2956, -2*a - 2*u - 472 = -1664. Let o(x) = 3*x**2 - 34*x - 17. Calculate the remainder when a is divided by o(12).
5
Let n = -38 + 48. Suppose 0*c + 2*c = n, -5*c = 4*v - 105. What is the remainder when 89 is divided by (9/(-5))/((-2)/v)?
17
Suppose 0 = o + 5*x - 3, -4*o - 12*x + 159 = -13*x. What is the remainder when 563 is divided by o?
31
Suppose -3*d + 262 + 27 = -c, 2*d - 4*c = 206. Suppose -2*w + 3*u - 5*u = -38, 5*u + d = 5*w. What is the remainder when 123 is divided by w?
9
Let d(n) = n**3 + 21*n**2 - 25*n - 68. Let p be d(-22). Calculate the remainder when (-3)/p*(4221/27 - -3) is divided by 63.
50
Let o = 13878 + -13810. Calculate the remainder when 4757 is divided by o.
65
Suppose -112 = -4*m - 4*w, 4*m - 5*w + 4*w - 87 = 0. Let q = -3196 + 3347. What is the remainder when q is divided by m?
13
Let j(q) = -q**2 + 4*q. Let a be j(2). Suppose 0 = -2*s - 4*l - l + 72, -a*s - l = -126. What is the remainder when s is divided by 3?
1
Suppose u + 2*d - 390 = 523, -4525 = -5*u - 5*d. Calculate the remainder when u is divided by 93.
60
Let b = -124 + 171. Calculate the remainder when (4 + 2)*(340/15 - 0) is divided by b.
42
What is the remainder when 746 is divided by (96/(-6) + 15)*-108?
98
Suppose 114492 = 142*m - 26*m. What is the remainder when m is divided by 62?
57
Let v(o) = -2*o + 41. Let m(d) = d - 20. Let g(u) = -5*m(u) - 2*v(u). What is the remainder when 88/104 + (-8)/(-52) - -69 is divided by g(0)?
16
Calculate the remainder when 538 is divided by 13*7*(23/7 - (-33)/