1 = -4*r. Suppose -3*n + 27*u - 25*u + 91 = 0, 5*n + 5*u = 160. Calculate the remainder when r is divided by n.
29
Let d(o) = 5*o. Suppose -2*p = 5*f - 29, -5*p = -2*p - f - 1. Let m be d(p). Suppose -m*l + 484 = l. What is the remainder when l is divided by 24?
20
Let u(a) = a**2 + 10*a + 26. Let g be u(-6). Let d(x) = -10*x**2 + 10*x + 18 + 6*x**g + 10*x**2. Calculate the remainder when d(-3) is divided by 16.
10
Let z(q) = 4*q**3 + 20*q**2 + 23*q + 58. Calculate the remainder when 567 is divided by z(-4).
27
What is the remainder when (23/(-1265)*-11)/(70182/(-70185) + 1) is divided by 117?
116
Let m(v) = -2*v**3 + 45*v**2 + 2*v - 41. What is the remainder when m(21) is divided by 25?
24
Let c = -1592 + 9017. Calculate the remainder when c is divided by 158.
157
Let l = -579 + 576. What is the remainder when 15 is divided by l/(15/40) + 13?
0
Calculate the remainder when (-4 - 0 - ((-28)/7 - -6)) + 212 is divided by 206.
0
Suppose 25 = -5*b, g + 4*g - 2*b = 35. Let v = 9 - g. Let t(k) = -k**3 - 8*k**2 - 7*k + 4. What is the remainder when v is divided by t(-7)?
0
Suppose -11*j - 52 = -151. Calculate the remainder when 82 is divided by (39 - -12)*3/j.
14
Suppose -5*u + 115 = -5*p, 2*p = 19*u - 21*u + 46. What is the remainder when 41 is divided by u?
18
Let p(v) = -v**3 + 15*v**2 - 5*v - 128. Calculate the remainder when p(9) is divided by 144.
25
Suppose 0 = r + 4*r - 3*x - 4380, -r - 2*x = -863. What is the remainder when r is divided by 98?
89
Suppose 2*b + 6 = s + s, s = 4*b + 3. Suppose s*p = p. Suppose p = h + 23 - 28. What is the remainder when 28 is divided by h?
3
Let y(c) = 5*c**2 - 61*c + 32. Suppose 4*o = -3*s + 220, 6*s - 212 = 3*s + 4*o. What is the remainder when s is divided by y(12)?
12
Let d(w) = 11*w - 58. Let h be d(-21). Let z = -122 - h. Calculate the remainder when z is divided by 57.
53
Let v(h) = -53*h - 13. Suppose -2*p = -2*j + 8, -p = 7*j - 11*j + 10. Calculate the remainder when v(p) is divided by 25.
18
Let s(t) = 7*t + 301. Suppose 4*w = 2*c + w - 248, -2*c + w = -248. Calculate the remainder when c is divided by s(-42).
5
Let t be -6*5/(-12)*2. Suppose -13*n + t*a + 1080 = -11*n, -3*a = n - 562. Calculate the remainder when n is divided by 69.
67
Suppose 319*d - 312*d = 14. Suppose -588 = -d*m - 14. What is the remainder when m is divided by 36?
35
Let i(l) = 5*l**2 - 333*l - 1384. Calculate the remainder when 2998 is divided by i(-4).
2
Suppose 2*s - 86 = -j, -s - 4*j = -37 + 8. Let x = -518 + 522. Suppose x*h = 2*q + 98, -5*h - 4*q + 33 = -83. What is the remainder when s is divided by h?
21
Let m = 101 + -106. Let l be (m/(175/(-2156)))/(2/10). Suppose 5*j = -z + l, 2*j - 3*z - 126 = -2*z. Calculate the remainder when j is divided by 14.
6
Let m be (-5)/(20/108)*(8 - 9). Let b = 80 - m. What is the remainder when b is divided by 9?
8
Let p = -24013 + 24804. Calculate the remainder when 2375 is divided by p.
2
Let p = -26224 - -26407. Calculate the remainder when p is divided by 31.
28
Let n = -489 - -492. Suppose 0 = 3*t - 2*t - 4*p + 6, 4*t - 4 = 2*p. Suppose t*v + 168 = n*o, 0*v = o + 2*v - 48. What is the remainder when o is divided by 14?
12
Let t = -2044 - -2091. Calculate the remainder when 2205 is divided by t.
43
Let w = -28 + 147. Suppose -m = -8*m + w. Calculate the remainder when (32/(-5))/(20/(-100)) is divided by m.
15
What is the remainder when (1 + -6 - 9/(-27)*25)*69 is divided by 115?
0
Let s(v) = v**3 + 10*v**2 - 9*v - 26. Let c be s(-8). Suppose -3*i = -3*t + c, 5*t - 7*t - 2*i + 120 = 0. Calculate the remainder when t is divided by 32.
27
Suppose -5*w = -58 + 8. Suppose w*d = 9*d - 3*q + 291, -2*q - 281 = -d. What is the remainder when d is divided by 48?
45
Suppose -78*b + 17725 = -34769. Calculate the remainder when b is divided by 173.
154
Calculate the remainder when 192 + (-1)/4*0 is divided by 12 - -3*60/18.
16
Suppose -h = -2*h + 46. Suppose 9*i - 5883 + 1059 = 0. Let v = i + -526. Calculate the remainder when h is divided by v.
6
Let m = -41980 + 42262. Calculate the remainder when 583 is divided by m.
19
Suppose 2*b + 32 = 10*b. Suppose 0 = -5*y - b*c + 375 - 113, 4*y - 5*c - 226 = 0. Calculate the remainder when y is divided by 17.
3
Let w = 28 - 17. Suppose 21 + 63 = -2*h. Let r = h + 44. What is the remainder when w is divided by r?
1
Let c = -394 - -395. What is the remainder when 16 is divided by (-7 + (-9)/(-3) - -5)*c?
0
Let c(r) = -15*r**3 + 4*r**2 - 4*r - 1. Let w be c(-3). Let l = w + -433. Calculate the remainder when 48 is divided by l.
10
Let d = 495 + -269. Suppose d = 2*a + 44. Suppose 9*l = 15*l + 6, 111 = 5*f + 4*l. Calculate the remainder when a is divided by f.
22
Calculate the remainder when (-897*30/(-260))/(2 - 245/124) is divided by 6.
0
Suppose 3*s - 140*i = -135*i + 1245, s - 4*i = 429. Calculate the remainder when s is divided by 7.
6
Suppose -3*r + 5*w - 9 = -2*r, r - 3 = 2*w. Suppose 3*y + 32 = -205. Let a = -63 - y. What is the remainder when a is divided by r?
5
Suppose -30*c + 24*c + 1926 = 0. Calculate the remainder when c is divided by 125.
71
Let d(j) = -j**3 - 5*j**2 + 2*j - 8. Let v = 40067 + -40049. Calculate the remainder when v is divided by d(-6).
2
Suppose p = 3*s + 95, 6*s - 2*s = p - 91. Let a = -88 - -69. Let h = a + 46. What is the remainder when p is divided by h?
26
Suppose 45*i = 17*i - 28. Let k(w) = -40*w - 15. Let u(y) = -y - 2. What is the remainder when k(i) is divided by u(-10)?
1
What is the remainder when 1/(-2)*1*(4 - -25)*-6 is divided by 44?
43
Suppose 5*s = p + 2*p + 19, -4*s + 2*p = -16. Suppose -6*k = s*k - 264. Suppose 8*v = k + 40. Calculate the remainder when v is divided by 2.
0
Suppose 0 = 12*i - 9*i - 18. Suppose 475 = i*u + 193. Let s = 83 - u. What is the remainder when s is divided by 19?
17
Suppose 17*h - 1901 - 294 = -70. What is the remainder when h is divided by 88?
37
Let v = -114 - -134. What is the remainder when 154 is divided by 13/(6/v*15/18)?
50
Let s(m) = -41*m + 38. Suppose -82*z + 4012 = -14*z. What is the remainder when s(-5) is divided by z?
7
Suppose 3*v - 3*q - q = 178, 2*q - 154 = -3*v. Let j = v - 5. Suppose -10 = 5*t, 5*t + 37 = -3*k + 57. What is the remainder when j is divided by k?
9
Let r = -39 + 35. What is the remainder when 65 is divided by ((-27)/21)/(r/28)?
2
Let c = 47 - 54. Let w(d) = d**2 + 5*d - 14. Let s be w(c). Suppose 0 = 4*r - s*r - 4*l - 64, -5*r + l + 88 = 0. What is the remainder when 68 is divided by r?
14
Let s(d) = -164*d + 1742. Calculate the remainder when s(10) is divided by 44.
14
Suppose -98 = -2*a + 108. Let s(r) be the second derivative of r**4/12 + 4*r**3/3 + 15*r**2 + r + 8. What is the remainder when a is divided by s(-3)?
13
Suppose -2*f + 0*f - w = -89, -w = -2*f + 95. Suppose 2*z + 6 = 0, -8*z + 5*z = -2*v + 21. Calculate the remainder when f is divided by v.
4
What is the remainder when (4711/2)/7 + (147/14)/21 is divided by 84?
1
Let m(o) = -63*o + 8716. What is the remainder when 5052 is divided by m(135)?
199
Let q(w) = 2*w**3 - 4*w**2 - 7*w + 16. What is the remainder when 583 is divided by q(4)?
11
Let i(x) = x**3 + 35*x**2 + 293*x - 27. Calculate the remainder when 915 is divided by i(-20).
11
Let y(n) = n**3 + 20*n**2 + 6*n - 33. Let z = 26 - -10. What is the remainder when y(-19) is divided by z?
34
Let o(a) = -47*a**3 - 2*a**2 - 2*a - 1. Let c = -8 + 51. Suppose 10*g = 37 + c. Calculate the remainder when o(-1) is divided by g.
6
Let r(z) = -25*z - 14. Let w(g) = -2*g**3 - 30*g**2 + 32*g - 2. Let i be w(-16). What is the remainder when 394 is divided by r(i)?
34
Suppose q + 2 = 2*t, -9*q = 3*t - 11*q - 4. Suppose t = -3*j - 3*y + 552 + 489, j - 4*y = 332. Calculate the remainder when j is divided by 23.
22
Let p = -144 - -164. Calculate the remainder when (-225)/(-10)*96/p is divided by 28.
24
Let r = 857 + -1766. Let u = -885 - r. What is the remainder when 88 is divided by u?
16
What is the remainder when 304 is divided by (-224)/128*(-88)/7?
18
Suppose 15*h + 54 - 279 = 0. What is the remainder when 2247 is divided by h?
12
Suppose -73 = -2*v - 0*m + 5*m, 0 = 2*v - 2*m - 70. Suppose -54 = -4*u - k + 101, -v = -u - 5*k. What is the remainder when 269 is divided by u?
35
Suppose k + d = 111 - 275, -2*k = -3*d + 338. Let f be k/(-3) + (-