-1 + 260/325 is divided by 23.
5
Let u(m) = m**2 - 622*m + 3751. What is the remainder when u(6) is divided by 37?
18
Suppose 0 = b + 9 - 11. Let v = -46 - -46. Suppose 2*o + 2*w + v - 18 = 0, -b*o = -w - 21. Calculate the remainder when 59 is divided by o.
9
Let n(s) = -s**3 + 4*s**2 - 5. Let y be n(2). Let r(j) = -j**2 - 5*j**2 + 9*j + 6 + y*j**2 + 2*j**2. What is the remainder when r(7) is divided by 6?
2
Suppose 2*o - 3*j + 86 = -5*j, 0 = 4*o - 3*j + 137. Let a = 146 + -77. Let l = o + a. What is the remainder when 73 is divided by l?
11
Suppose 4*x = 93 - 29. Let l = 1059 + -983. What is the remainder when l is divided by x?
12
Suppose 0 = -5*s + 40 + 50. What is the remainder when s is divided by 9/3 - (-2 + 35/(-5))?
6
Let r(y) be the third derivative of -y**4/8 + 31*y**3/6 + 27*y**2. Calculate the remainder when 169 is divided by r(4).
17
Suppose 13682 = 4*n - 3*p, 0 = -23*n + 19*n + p + 13694. Calculate the remainder when n is divided by 149.
147
Calculate the remainder when (35560/(-1016))/((-1)/489) is divided by 17.
13
Suppose -6624 = 283*i - 319*i. Let n(z) = 17*z - 3. Let l be n(2). Suppose 63 + l = 2*a. Calculate the remainder when i is divided by a.
43
Let t(b) = 2*b**2 - 20*b - 90. Let h be t(14). Suppose h*k - 9*k - 741 = 0. Calculate the remainder when k is divided by 22.
13
Let z = 783 + 9194. What is the remainder when z is divided by 10?
7
Suppose 90 = 11*w - 559. Suppose l + w = 90. What is the remainder when 308 is divided by l?
29
What is the remainder when 2939 is divided by ((-14)/(-42)*-15)/(-1)?
4
Let y = -3793 + 4154. What is the remainder when y is divided by 94?
79
Let d = -413 - -735. Suppose -301*n + 294*n = -d. What is the remainder when n is divided by 98/6 + (-2)/6?
14
Suppose -4*h + 4*u + 740 = 0, 5*h - 925 = 94*u - 92*u. What is the remainder when 4066 is divided by h?
181
Suppose 39*f - 40*f + 22 = 0. Suppose -b = -6*b + 1645. Calculate the remainder when b is divided by f.
21
Suppose 0 = 2*f - h - 8, -2*h = -6*h + 16. Calculate the remainder when 106 is divided by (108/(-72))/(f/(-188)).
12
Let a be (15 - 14) + 3 + -1. Suppose z = -a*f + 325, f = -3*f - 5*z + 448. Let r = 72 - 45. Calculate the remainder when f is divided by r.
26
Let v(c) = 6*c**2 + 63*c - 145. What is the remainder when v(3) is divided by 61?
37
Let h be (51/9 - -3)/(1/(-138)). Let f be ((-5)/(-4))/((-13)/h). Suppose f - 555 = -4*b. What is the remainder when b is divided by 16?
14
Suppose -j = 5*l - 70, 20*j = 17*j + 3*l + 174. Suppose -11*i = -8*i - 63. Calculate the remainder when j is divided by i.
18
Let l(h) = -3 - 7*h + 2 - 6. Suppose 2*j = 27 - 33. Calculate the remainder when 123 is divided by l(j).
11
Let v(m) = m**2 + 10*m - 9. Let h be v(-11). Let a be 15/3*5/1. Suppose 3*s = -h*s + a. Calculate the remainder when 18 is divided by s.
3
Suppose -7*s = -14 - 0. Suppose 4*q + 3*m - 420 = 0, -6*q + 3*q - s*m + 314 = 0. Calculate the remainder when q is divided by 27.
21
What is the remainder when 168 is divided by 10/(-2) + 101 + -44?
12
Suppose 8*l + 26*l = -74*l + 27324. Calculate the remainder when l is divided by 140.
113
Suppose 3*y = 44 + 43. Let g be ((-31)/(-62))/((-1)/114). Let v = -47 - g. Calculate the remainder when y is divided by v.
9
Let u = 33261 + -32149. What is the remainder when u is divided by 223?
220
Let w(k) = 25*k + 399. Let z(s) = -25*s - 398. Let q(h) = 4*w(h) + 5*z(h). What is the remainder when q(-28) is divided by 62?
58
Suppose 2*d - 180 = -5*k, 97 = 3*k + 2*d - 3*d. Suppose 0 = 172*p - 411*p + 17686. What is the remainder when p is divided by k?
6
Let s = 201 + -182. Suppose 2*u - 152 = 4*x, -5*u + 23*x = s*x - 368. What is the remainder when u is divided by 15?
12
Let l(w) be the third derivative of -7*w**4/8 - 13*w**3/2 + 171*w**2. What is the remainder when 130 is divided by l(-3)?
10
Let s = 3833 - 3831. Let u = 1 - 1. Let w = u + 2. What is the remainder when s is divided by w?
0
Let s(g) = -6*g**2 + 1 - 7*g - 3*g**2 - 382*g**3 + 354*g**3. Calculate the remainder when 102 is divided by s(-1).
21
Let l = -103 - -109. Suppose -l*w - 2 = -26. What is the remainder when 6/w - 3381/(-46) is divided by 40?
35
What is the remainder when 3317 is divided by (10 - 1320/(-135)) + 4/18?
17
Suppose -5*y + 757 = -4*z - 1389, 0 = y - 5*z - 446. Calculate the remainder when y is divided by 43.
39
Let x(p) = 57*p**2 - 5*p + 25. Let g be x(3). Suppose 0 = 12*b - 1649 - g. Calculate the remainder when b is divided by 90.
1
Suppose 0 = -64*t + 1690 + 1318. Let p = 99 + -44. Let a = p - 30. Calculate the remainder when t is divided by a.
22
Suppose 4*b + 63 = x, -34*b + 32*b - 22 = 0. Let d = -7 + 16. Calculate the remainder when (d/(-12))/((-1)/124) is divided by x.
17
Let k = -2833 - -2930. Calculate the remainder when 314 is divided by k.
23
Let m(c) = -5*c**3 - 6*c**2 + 2*c + 1. Suppose 0 = -10*o - 7*o - 51. What is the remainder when m(o) is divided by 31?
14
Let j be (2/(-6))/((-5620)/624 + 9). Let k = 68 - j. What is the remainder when k is divided by ((-9)/(-4))/(2/8)?
7
Let s = 11382 - 10920. Calculate the remainder when s is divided by 110.
22
Let d = -61 - -65. Suppose 2*o + 9 = 3*l, -3*l = -d*o - 8 - 1. Let q = 16 + -11. What is the remainder when q is divided by l?
2
Suppose 12 = 5*q - 28. Let o(d) = -d**3 + 270. What is the remainder when o(0) is divided by q?
6
Let t = -72 + 138. Let c(a) = 2*a**2 + 95*a + 259. Calculate the remainder when t is divided by c(-45).
32
Let s = 104 + -107. Let l(f) = -3*f**3 + f**2 + 6*f. What is the remainder when l(s) is divided by (-25)/(-1) - (2 + -2)?
22
Let a = 35 + -18. Let n = 494 + -201. Let p = n + -282. Calculate the remainder when a is divided by p.
6
Suppose -6485 - 5125 = -10*b. Suppose 4*h - b = h. What is the remainder when h is divided by 39?
36
Let i(x) = -x**2 + 6*x - 4. Let u be i(5). Calculate the remainder when 423/48 + (-21)/(-112) is divided by 2*u/1 - -2.
1
Let n(i) = i**3 - 89*i**2 + 1982*i - 100. Calculate the remainder when n(47) is divided by 35.
31
Suppose -4*b + y + 63 = 0, 2*b + 2*y + 18 = 52. Calculate the remainder when 221 is divided by b.
13
Suppose -2*s + 16 = 2*s. Let o(v) = v**3 + 8*v**2 - 4*v + 9. Let z be o(-8). Let b = z - 35. Calculate the remainder when b is divided by s.
2
Let i be (-2 + 4)/(2/3). Suppose 56 = 3*d + 4*k, k - 9 = 2*d - 39. Suppose -12 = -p + w + d, i*w = -p + 32. What is the remainder when p is divided by 8?
5
Let h(x) = -2*x**3 + x + 3. Let c be h(-8). Let a = -527 + c. Suppose 3*l - 7*l + a = 0. What is the remainder when l is divided by 31?
30
Let x(l) = 3*l**2 + 4*l + 3. Suppose 28*w + 44 = 39*w. Suppose -5*y + 90 = w*p, -y - 52 = 5*p - 7*p. Calculate the remainder when p is divided by x(-2).
4
Calculate the remainder when (6648/(-20) + (-6)/(-15))/((-216)/324) is divided by 28.
22
Let v = -9021 - -9346. Calculate the remainder when v is divided by 9.
1
Suppose 3166*y + 23 = z + 3168*y, -2*z + 4*y = -46. What is the remainder when 35764 is divided by z?
22
Suppose 0 = -2*q + 4*t + 378, 0 = 2*q - 5*t - 531 + 151. Calculate the remainder when 1664 is divided by q.
184
Let q = 19375 - 19274. Calculate the remainder when 393 is divided by q.
90
Suppose -62*r = -77*r + 4605. What is the remainder when r is divided by 166?
141
Suppose -14*l - a + 1157 = 0, 22*l - 2*a + 322 = 26*l. Let z(n) = -21*n. What is the remainder when l is divided by z(-1)?
20
Suppose -7*t = -3327 - 572. Suppose 14*h + 375 = t. What is the remainder when h is divided by 10?
3
Let g = -88 + 88. Suppose 98 = 2*f + 4*w - 56, -2*f - w + 154 = g. Calculate the remainder when f is divided by 40.
37
Suppose 4*z - 2*s = 86, -s - 2*s = z - 32. Let n be (1 - 0)/((-13)/(-1872)*12). Suppose 8*b - n = 52. Calculate the remainder when z is divided by b.
7
Let k(h) = 7*h**3 - 2*h + 3. Suppose 0 = -p + 3*n + 94, 330 = 16*p - 13*p + 3*n. Calculate the remainder when p is divided by k(2).
51
Suppose 558 = -340*y + 371*y. Suppose -l + 3*l - 8 = 0. Calculate the remainder when y is divided by l.
2
Let o = 419 - 414. Suppose -5*q - 60 = -o*v, 3*v + q - 16 - 12 = 0. Let m = 33 - 10. What is the remainder when m is divided by v?
3
Suppose -2*w + 4*x - 16 = w, 5*x - 20 = -4*w. Suppose -43*g + 26*g + 85 = w. What is the remainder when 222 is divided by g?