27*m - 29 = p, -43 = 2*p + 3*m. Let j(c) = -c - 9. What is the remainder when 129 is divided by j(p)?
4
Suppose 567 - 175 = 2*m + 3*k, 0 = 3*m + 4*k - 590. What is the remainder when m is divided by 6*((-14)/(-6) + 2)?
20
Let h be 1/(2*1/24). Suppose 0 = -h*s - 124 - 1124. Let x = -95 - s. What is the remainder when 15 is divided by x?
6
Suppose -8*z + 14*z = -84*z + 720. Let d(i) = -i**3 - 6*i**2 + 5*i + 1. What is the remainder when d(-9) is divided by z?
7
Let m = 385 - 260. Suppose -10*u + m = -5*u - 5*o, -u = o - 23. What is the remainder when 95 is divided by u?
23
Let n = 37 + -29. Let g = n + -52. Let y = -34 - g. What is the remainder when 27 is divided by y?
7
Let t(a) = 5*a**2 + 6*a - 8. Let n be t(-4). Suppose -3*p + n = -2*r, -2*p = 2*r + 4 - 26. What is the remainder when 50 is divided by p?
8
Let k(p) = 2*p**2 + 16*p - 16. Let f be k(-12). Let b = f + -77. Suppose -5*v + 315 = 5*c, b*v + 53 = c + 2*v. Calculate the remainder when c is divided by 30.
28
Let l = 136 + -75. Suppose l - 106 = -3*u. Calculate the remainder when 101 is divided by u.
11
Suppose -4*x - 3*v + 9 + 3 = 0, -3*x - v = -9. Suppose -17 = -x*q + 355. Suppose -r = d - 36, 2*d - 5*r - q = -d. What is the remainder when d is divided by 20?
18
Suppose -19*h + 571 = 2*c, c = -3*h + 17 + 301. What is the remainder when c is divided by 11?
3
Suppose 2*k = 15 - 25, 0 = 4*x - k - 21. Let v = 0 + 6. What is the remainder when v is divided by x?
2
Let q(g) = 28*g - 417. Let i = 479 - 463. What is the remainder when 140 is divided by q(i)?
16
Let q = 217 - 217. Suppose 4*z - 2*s = 92, q = 2*z + 4*s - 20 - 16. Calculate the remainder when 153 is divided by z.
21
Calculate the remainder when 578*((-620)/868)/((-4)/14) is divided by 705.
35
Let i(l) = 14*l**2 - 74*l - 119. Let m(f) = -5*f**2 + 25*f + 39. Let b(d) = 6*i(d) + 17*m(d). What is the remainder when 59 is divided by b(-13)?
5
Let j(p) = -68*p**2 - 147*p - 9. Let r be (-12)/(-10)*10/2. What is the remainder when (r/5)/(2/80) is divided by j(-2)?
9
Let k(m) = -2*m**3 + m**2 + 4*m + 3. Let i be k(-1). What is the remainder when 9 + 25 + -6*i/3 is divided by 8?
6
Let w = -26 - -75. Suppose -w = 4*y - 57. Suppose i = -5*t + 127, -y*i + 29 = 4*t - 3*t. Calculate the remainder when 47 is divided by t.
22
Suppose 3*c + 3*y - 11 - 1 = 0, 6 = -c + y. Calculate the remainder when 94 + (0 - c)/(9/(-27)) is divided by 16.
11
Let l = -2716 + 2871. Let c(b) = -b**3 + 7*b**2 + 11*b. What is the remainder when l is divided by c(8)?
11
Suppose -5*q + 41 + 9 = 0. Let g = 281 + -356. Let z = 92 + g. What is the remainder when z is divided by q?
7
Suppose 92*g = 82*g + 2600. What is the remainder when g is divided by 8?
4
Suppose 278*m - 281*m - b = -279, 5*m + 5*b - 455 = 0. What is the remainder when m is divided by 22?
6
Let r be (113/(-2))/(36/(-216)). What is the remainder when 5*4/(60/r) is divided by 58?
55
Let q be 2 + -5 + 0 + 6. Let a be (486/5)/(q/20). What is the remainder when (4/(-6))/((-16)/a) is divided by 14?
13
Let z = 46 + -41. Calculate the remainder when ((-6)/z)/((12/(-885))/2) is divided by 62.
53
Suppose 66 = 4*x - 34. Let s = 1419 - 1299. What is the remainder when s is divided by x?
20
Let a(f) = 16*f + 605. Calculate the remainder when a(-23) is divided by 52.
29
Let a(h) = -h**3 - 3*h**2 + 72*h + 7. Suppose 5*o - 2*o + 2*m = 11, 0 = o - 3*m. Suppose 95 + 85 = o*q. Calculate the remainder when q is divided by a(7).
18
Let t(h) = -2*h**2 + 66*h - 49. Let o = -288 - -320. What is the remainder when 41 is divided by t(o)?
11
Let d(i) = 26*i**2 - 67*i + 28. What is the remainder when d(10) is divided by 40?
38
Calculate the remainder when 1752 is divided by (-12)/15*(-260)/16.
10
Suppose 78*m - 83*m + 2415 = 0. Let a = 584 - m. Calculate the remainder when a is divided by 13.
10
Let j = -8681 - -9028. Calculate the remainder when j is divided by 119.
109
Suppose 43*u - 10921 = 23866. Calculate the remainder when u is divided by 39.
29
Suppose 3*k - 3 + 9 = 0, -2*k - 8 = -p. Let l = p - -11. What is the remainder when 6/84*(593 + 1) - (-6)/(-14) is divided by l?
12
Let h be (-2 + 3)*-1*(2 - 25). Let i = 35 - h. Calculate the remainder when 47 is divided by i.
11
Let s be 3/2 - 2 - 5/(-2). Let b(i) = -7*i - 4 + 3 + 22*i - i**s. What is the remainder when 218 is divided by b(7)?
53
Let f(c) = 2*c**3 - 53*c**2 + 27*c - 32. Let y be f(26). What is the remainder when 153 is divided by (18/y - -3) + 42?
27
Let y(n) = 5*n - 6. Let p be y(8). Let x = p + -13. Calculate the remainder when 45 is divided by x.
3
Suppose 5*l - 450 = 5*v, 34*l = 33*l - 4*v + 80. What is the remainder when 385 is divided by l?
33
Let s = -2538 - -2547. What is the remainder when 482 is divided by s?
5
Suppose -19*r - 990 = -41*r. What is the remainder when 222 is divided by 32/240 + (1119/r - 0)?
22
Let z(v) = -3*v + 3. Suppose -8 = 4*w + 2*j + 16, 4*w + 24 = -5*j. Let p = 475 + -394. What is the remainder when p is divided by z(w)?
18
Suppose -9*f = -8*f - 1. Let x be (1/(-1))/(f/3). Let j = x + 38. Calculate the remainder when j is divided by 8.
3
Suppose -b - 5*j = -48, 4*b + 4*j = -1090 + 1330. Let l = -8 + 25. What is the remainder when b is divided by l?
12
Suppose 51*k - 84 = 44*k. Suppose 29 = 2*z + t, z - k*t + 16*t = 32. Let f = -3 - -36. What is the remainder when f is divided by z?
9
Let w(y) = -y**3 + 31*y**2 + 135*y + 75. Calculate the remainder when 376 is divided by w(-4).
91
Let j(t) = 506*t + 526. Calculate the remainder when 1598 is divided by j(-1).
18
Let i = -109 + 75. Let t = 32 + i. Let l(q) = -4*q**3 + 2*q**2 - 3*q - 3. What is the remainder when l(t) is divided by 5?
3
Let t = 270 + -117. Let v = 3 - -192. Suppose -5*h + z = -v, 3*z + 25 - 103 = -2*h. What is the remainder when t is divided by h?
36
Let w be 1/(-4) + 1022/56. Calculate the remainder when (-3416)/(-72) + (-8)/w is divided by 16.
15
Suppose l + 73 = 12. Let z = -321 + 407. Let h = z + l. Calculate the remainder when 72 is divided by h.
22
Suppose 0 = -l + n + 98, -4*n - 372 + 74 = -3*l. Let k(z) = z**2 + 9*z + 5. Let t be k(-3). What is the remainder when l is divided by (t - -5)*(-2)/1?
14
Suppose -27*b = -30*b + 12. Let n be 310 + (b/(-2))/(-2). Suppose 6*s - 379 = n. What is the remainder when s is divided by 24?
19
Let w(s) = s**2 - 2*s - 2. Suppose -3*f + 11 = -4. Suppose -h + 6 = f*h. What is the remainder when w(3) is divided by h?
0
Let i = 51 - 135. Let m = -63 - i. What is the remainder when 206 is divided by m?
17
Let r(m) = m**2 + 2*m + 509. Calculate the remainder when r(-25) is divided by 6.
4
Let w(k) = -k + 34. Let a = -121 + 131. Calculate the remainder when 51 is divided by w(a).
3
Let h(k) = -13*k**2 + 591*k - 110. Calculate the remainder when h(44) is divided by 52.
50
Let y = -2299 - -2356. What is the remainder when 794 is divided by y?
53
Let x = -1306 + 1315. Calculate the remainder when 134 is divided by x.
8
Let k(t) = -t**3 - 30*t**2 + 46*t + 591. Let s be k(-31). Let n be (-2 - -2) + -1 + 4. What is the remainder when 138 is divided by (s/15)/(n/10)?
26
Let x(d) = 2*d**3 - 7*d**2 + 3*d - 7. Let a(j) = 10*j**3 + 2*j**2 + 2*j - 1. Let b be a(2). Let o = 108 - b. Calculate the remainder when x(5) is divided by o.
15
Suppose -4*o = -5*o - 14. Let q = o - -17. Suppose -q*p + 43 = 13. What is the remainder when 21 is divided by p?
1
Let a = -496 + 875. Suppose 4*c = 0, -4*t + a + 321 = c. Calculate the remainder when t is divided by 16.
15
Calculate the remainder when (-1441090)/(-519) + (-33)/9 is divided by 277.
3
Suppose -12*k = -8*k - 32. Suppose -5*z + 0*c = 4*c - 16, 2*c - k = 2*z. Suppose 486 = 6*v - z*v. What is the remainder when v is divided by 21?
18
Let o(f) = 7*f**2 + 13*f + 90. Let z(g) = -2*g**2 - g + 1. Let a(p) = o(p) + 3*z(p). Calculate the remainder when a(-6) is divided by 10.
9
Let a be -87 - ((-6)/(-21) + (-16)/7). Calculate the remainder when 23 is divided by 5/2*136/a*-1.
3
Suppose 60*k + 65*k - 3552 = 77*k. Let d = 34 - 67. Let s = 52 + d. Calculate the remainder when k is divided by s.
17
Suppose 3*u - 93 = 168. Suppose 340 = 3*p + 241. What is the remainder when u is divided by 1*24*p/44?
15
Suppose -2*k = -4, 13 = 4*u - 3*u + 5*k. Suppose 0*y = -y, 0 = -4*t + u*y + 16. Suppose -t*r + 6 = -3*r. Calcula