- 6*u + 17. Let r be 15/(-60) - (-220)/(-16). What is the remainder when z(r) is divided by 53?
48
Let l = -4303 + 4723. Calculate the remainder when l is divided by 53.
49
Let j = -4364 + 4421. Calculate the remainder when 216 is divided by j.
45
Let r = 127 - 621. Let a = -373 - r. What is the remainder when a is divided by 41?
39
Let b(n) = n**3 + 2*n**2 - n - 1. Let t(h) = 12*h + h**2 - 22*h + 16*h - 32. What is the remainder when b(2) is divided by t(-10)?
5
Let i be (20/(-12))/(-2*15/108). Suppose 0 = -2*m + 10 + i. Let q(l) = -l**3 + 5*l**2 + 8*l - 5. Calculate the remainder when m is divided by q(6).
1
Let v = 1655 + -1542. What is the remainder when v is divided by -6*((-1168)/132 - 6/(-33))?
9
Let f = 85 + -91. Let o(d) = -d**3 - 6*d**2 - 2*d + 1. What is the remainder when o(f) is divided by 8?
5
Suppose -3*q - k + 1269 = 0, -4*q + 1692 = 183*k - 188*k. Calculate the remainder when 1697 is divided by q.
5
Let h(g) = -6*g**2 + 85*g + 86. What is the remainder when (-135)/(-3)*(-1)/(-3) is divided by h(15)?
4
Let m(c) = c**2 - 4*c + 4. Let j = 4 - 5. What is the remainder when m(4) is divided by -3*12/(-9) + j + -2?
0
Let n(r) = -r**2 - 9*r - 8. Let y = 7 + -6. Let x(l) = 45*l - 2. What is the remainder when x(y) is divided by n(-5)?
7
Let l = 1230 - -14688. What is the remainder when l is divided by 20?
18
Let q(w) = -20*w + 5*w + 25*w + 17. Calculate the remainder when q(11) is divided by 27.
19
Let q(g) = -g**3 + 11*g**2 + 3*g + 6. Let k be q(15). Let t = k - -1419. Calculate the remainder when t is divided by 52.
50
Let c(d) = 152*d**2 + d - 10. Let g be c(2). Let a = g + -526. Suppose -5*u - 5*j + 51 = -59, -2*u + j = -41. Calculate the remainder when a is divided by u.
11
Let r be 0 - -1 - (-44 - 366). Suppose 10*z = r + 439. What is the remainder when z is divided by (3/(-6))/((-1)/58)?
27
Suppose -3*l - 35 + 32 = 0, 5*a = 5*l + 680. Calculate the remainder when 140 is divided by a.
5
Let z = 47 + -47. Suppose -a + 4 = z, -5*b + 5 = -4*a - 24. What is the remainder when 13 is divided by (5 + b/(-2))*(-32)/(-2)?
5
Suppose 3*w = 5*u + 55, 4*w - w = 15. Let v be 10*2/(4 + u). Calculate the remainder when 35 is divided by (37 + -7)*(-3)/v.
17
Suppose 0 = 7*b - 3*b + 212. Let t = 56 + b. What is the remainder when t + 7*(4 - 5) - -115 is divided by 28?
27
Calculate the remainder when 128 is divided by ((-7)/(14/(-95)))/(115/46).
14
Let w(z) = -z**2 - 23*z + 290. Let l be w(9). Suppose -5*b = -j + 19, l*b - 74 = 22*j - 24*j. What is the remainder when 71 is divided by j?
3
Suppose -52*w + 5*h - 660 = -53*w, w - 2*h - 653 = 0. Calculate the remainder when w is divided by 41.
40
Suppose -44 = -7*d + 530. Suppose -5*s + d = -u, 4*u - 68 = -5*s + 29. What is the remainder when 65 is divided by s?
14
Let o(r) = 5 + 6 - 22*r**2 + 7*r**2 + 14*r**2 + 3 - 10*r. Let x = 13 - 24. Calculate the remainder when 14 is divided by o(x).
2
Let q be ((-1)/2*-6)/((-42)/(-1120)). Suppose -25*k = -30*k + q. Calculate the remainder when 42 is divided by k.
10
Suppose 3*c = 4*y + 315, 2*c + 55 = -y + 265. Suppose 37*d = 120 - 16 + 562. Calculate the remainder when c is divided by d.
15
Let m(w) = 55*w + 3. What is the remainder when m(3) is divided by 156?
12
Suppose 2*f - 5*c = 158, -c = 3*f + 940 - 1194. What is the remainder when f is divided by 34?
16
Suppose -3*q - 2*o + 65 = 0, 98 = 5*q - 2*o + 11. Suppose -168 = 9*v - 12*v. Calculate the remainder when v is divided by q.
18
Let h = -5 + 11. Suppose 5*m - 40 = -5*q, 2*q - 49 + h = -5*m. Suppose -f + 4*l + 29 = 0, -2*f - 3*l - 23 = -70. Calculate the remainder when f is divided by m.
7
Suppose -3*a + 110*z = 108*z - 69, -4*a + z = -77. What is the remainder when 25 is divided by a?
8
Let x = -641 + 661. Let i(t) = 14*t - 77. What is the remainder when i(x) is divided by 69?
65
What is the remainder when (-398)/(-4) - (-6174)/(-1764) is divided by 61?
35
Let k(y) = y**3 + 4*y**2 - 7*y - 5. Let m be 6/10 - 84/15. Let b be k(m). Suppose 0 = b*s - 103 + 18. Calculate the remainder when s is divided by 11.
6
Let k = 64 - 64. Suppose -18174 = -39*a - k*a. What is the remainder when a is divided by 36?
34
Let k = 157 + -117. Let n(i) = i**3 - 3*i**2 - 6*i + 2. Calculate the remainder when k is divided by n(5).
18
Suppose -33*s + 1673 + 2660 + 518 = 0. Let c be -2 - (0 + -2 + 2). What is the remainder when s is divided by c/(-4)*74 + 0?
36
Suppose 0 = 10*a - 14*a - 428. Let m = a - -116. What is the remainder when 34 is divided by m?
7
Suppose 5*r - 20*l + 22*l = 828, 0 = 3*r - l - 499. What is the remainder when 493 is divided by r?
161
Suppose 0 = -3*t + 52 - 13. Calculate the remainder when 62 - 7/((-28)/(-8))*7/(-14) is divided by t.
11
Let l = 609 - 606. Suppose 4*s + 5*b - 115 = l, 5*b = 3*s - 71. Calculate the remainder when 58 is divided by s.
4
Suppose 3*d - 4 = -7. Let k be d + -2*3/(-6) - 9. What is the remainder when 236 is divided by k/((-2)/(128/12))?
44
Let b = -15850 + 16917. What is the remainder when b is divided by 149?
24
Suppose -3*r + 381 - 96 = 0. What is the remainder when r + (-3)/12*0 is divided by 1 - (126/35)/((-3)/40)?
46
Suppose -376*d - k = -380*d + 108, d = -3*k + 1. Calculate the remainder when (-1)/(4/494)*-2 is divided by d.
22
Calculate the remainder when 1669 is divided by (-22)/242 + 684/22.
26
Let x(f) = 373*f + 4163. Let p(u) = -56*u - 9. What is the remainder when p(-13) is divided by x(-11)?
59
Suppose 0 = 3*l + 27 - 96. Let x = -325 + 395. Let o = x - -21. What is the remainder when o is divided by l?
22
Let n(s) = -2*s**3 - 2*s**2 + 2*s + 3. Let r be n(-2). Suppose r*b = 54 + 23. What is the remainder when b is divided by 4?
3
Suppose 5*m = -10*j + 15*j + 50, 2*m + 28 = -4*j. Let o(g) = g**3 - 2*g**2 - 2*g - 2. What is the remainder when m is divided by o(3)?
0
Suppose 3*a + 12 = 0, a + 42 + 478 = l. What is the remainder when l is divided by 42?
12
Suppose 92*c - 72985 = 19*c - 20498. What is the remainder when c is divided by 80?
79
Suppose -4*k - 5*p + 3033 = -3968, -2*p + 5235 = 3*k. What is the remainder when k is divided by 79?
1
Let h(l) = 8*l**3 + 5*l**2 - 131*l + 528. What is the remainder when h(4) is divided by 122?
108
Let p(a) = -a - 120. Let o be p(0). Suppose 195 = -15*g - 705. Calculate the remainder when 157 is divided by (20/g)/(1/o).
37
Let q be 6/4*368/138. Suppose 0 = -13*o - q*o + 1394. Calculate the remainder when 409 is divided by o.
81
Suppose 45*a = 63*a - 27090. Calculate the remainder when a is divided by 26.
23
Suppose 4 = -4*k - 2*t, -3*t = -3*k + 10 + 5. What is the remainder when (-7)/((-3 + 2)/k) is divided by 18/2 + (-36)/18?
0
Suppose -188*r - 4*m = -191*r + 34, 4*r - 2*m - 52 = 0. Calculate the remainder when 201 is divided by r.
5
Let a be 91/3 - 8/24. Let d be (-8)/(-28) - 2784/(-56). Calculate the remainder when 202/5 + a/d is divided by 14.
13
Let a(r) = -7*r + 1. Let t be a(-9). Suppose -h = -45 - t. Calculate the remainder when h is divided by 1 + (-2)/10 - (-636)/30.
21
Let m be 34*1 + 210/(-30). Suppose m*b - b = 390. What is the remainder when 116 is divided by b?
11
Let q(b) = -257*b - 1431. What is the remainder when q(-13) is divided by 87?
83
Let w = 35342 - 35219. What is the remainder when w is divided by (-2)/2 - (1 + -44)?
39
Suppose 4*i = -d + 1621, -63*d + 61*d + 3214 = 4*i. Calculate the remainder when d is divided by 31.
12
Suppose -4*w + 573 = 269. Calculate the remainder when 146 is divided by w.
70
Let w(x) = x**3 - x**2 + 2*x - 3. Let z be w(2). Suppose 2*n = 2*t - 12, 0 = z*t + n + n - 65. Calculate the remainder when 40 is divided by t.
7
What is the remainder when (-2195590)/(-226) + (-3)/1 + 11 is divided by 34?
33
Let f(u) be the third derivative of u**4/4 - 16*u**3/3 - 32*u**2. What is the remainder when 34 is divided by f(6)?
2
Let j(q) = -4*q + 275. What is the remainder when 221 is divided by j(60)?
11
Suppose -24*u = -26*u - 14, 0 = -2*i + 2*u + 2274. Calculate the remainder when i is divided by 42.
38
Let r = -10552 - -10692. Calculate the remainder when r is divided by 127.
13
Let k = -23144 - -24602. Calculate the remainder when k is divided by 11.
6
Suppose 4*s + 10 = -2*o, -83*s + 15 = -88*s - 5*o. Let r(k) = -41*k + 11. Calculate the remainder when r(s) is divided by 5.
3
Suppose -43926