.
5
Suppose -11*n - 22 + 198 = 0. Calculate the remainder when 123 is divided by n.
11
Suppose 40 = 3*m + 7. Let f(b) = -b**3 - b**2. Let j(r) = r**3 + 3*r**2 + r - 42. Let t(a) = -2*f(a) - j(a). What is the remainder when t(0) is divided by m?
9
Calculate the remainder when 18*((-10)/(-6)*8/20)/2 is divided by 7 + 0 + (-2 - 0).
1
Let s = 243 + -237. What is the remainder when ((-14)/(-4))/((-3)/(-12)) is divided by s?
2
Suppose -l = -c - 1, -5*l - 3*c + 0*c = 35. Calculate the remainder when (1 + -2)/(3/(-159)) is divided by l/(-18) - (-124)/9.
11
Let l = 16 + -11. Suppose s - 17 = -l*w, 2*w + 10 = -s + 3*s. Let v = 20 - s. What is the remainder when 25 is divided by v?
12
Suppose -2*f = -2*x + f + 201, f - 395 = -4*x. Let w = x + -58. What is the remainder when w is divided by 11?
8
Let j = -18 + 28. Suppose -j*g + 114 = -6. What is the remainder when 30 is divided by g?
6
What is the remainder when (-9)/(-6) - (275/(-10) - 4) is divided by 25?
8
Suppose 454*x = 465*x - 660. What is the remainder when 229 is divided by x?
49
Let f(w) = -26*w + 390. Calculate the remainder when f(10) is divided by 27.
22
Suppose c - 25 = 5. Suppose -3*q + 18 = -c. Suppose -11*k + 8*k + 183 = 0. Calculate the remainder when k is divided by q.
13
Let k = -13 - -28. Let r(g) = -g**3 - g**2 + 2*g - 1. Let m be r(1). What is the remainder when ((-88)/10)/(m/5) is divided by k?
14
Let g = 101 + 18. Suppose 25*r = 509 - 209. What is the remainder when g is divided by r?
11
Suppose 69 = 4*x - 7. Let r = x + -17. Suppose 0 = r*i + 3*i - 490. Calculate the remainder when i is divided by 20.
18
Suppose -3*n - 5 = -2*r, -6*n + 11*n + 10 = 5*r. What is the remainder when ((-1098)/6)/(-2 + r) is divided by 31?
28
Suppose 8*a - 50 = 166. Calculate the remainder when 348 is divided by a.
24
Let w = -548 - -555. What is the remainder when 27 is divided by w?
6
Let y(p) = p**2 + 7*p - 17. Suppose -8 - 4 = m. Calculate the remainder when y(m) is divided by 9.
7
Suppose 0 = -15*l + 793 - 238. Suppose -18*g = -17*g - l. What is the remainder when g is divided by 19?
18
Let g(z) = z**2 - 4*z + 46. Let m = 25 + -13. Calculate the remainder when g(0) is divided by m.
10
Suppose 0 = -12*o - 0 - 12. What is the remainder when (3 + -85)/(1/o) is divided by 12?
10
Suppose 5*c - 170 = -20. Let u(d) = -147*d**2 + 12*d + 146*d**2 - 1 - 8. Calculate the remainder when c is divided by u(10).
8
Let u(y) = y**2 - 45*y + 238. Let d = 21 - -31. Suppose -h + d = 3*h. What is the remainder when h is divided by u(39)?
1
Let g(k) = -28*k**3 + 1. Let d be g(-1). Let u = d - 21. Suppose 4*w = -2*b + 5*b - 67, -3*w + 160 = 5*b. What is the remainder when b is divided by u?
5
Suppose 0 = -4*v + 7*v - 96. Suppose 0 = 4*p + 4*i - v, 12 = -2*p + 5*i + 35. Let q = 102 - 68. Calculate the remainder when q is divided by p.
7
Let n(v) = -4*v**3 - 10*v**2 - 4*v + 5. Calculate the remainder when 40 is divided by n(-3).
5
Suppose 0 = 10*a - 186 + 16. Suppose j - 17 = 3*b, -4*b + 0*b + a = j. Calculate the remainder when 67 is divided by j.
16
Suppose -m + 7 = 5*g - 42, g - 272 = -4*m. Calculate the remainder when 74 is divided by m.
5
Let r be 5935/75 - 4/30. Let t = -36 + r. Let d(n) = 15*n**2. What is the remainder when t is divided by d(1)?
13
Let s be ((-1)/(-2))/((38/(-36))/(-19)). Suppose 4*u - 665 + s = 0. Calculate the remainder when u is divided by 33.
32
Let p(o) = -o**3 + 27*o**2 - 47*o - 30. Let k be p(25). Let m = 7 + -11. What is the remainder when ((-150)/k)/(m/6) is divided by 3?
2
Suppose 277*m + 95 = 296*m. What is the remainder when 203 is divided by m?
3
Suppose -a = -6*a + 20. Suppose 2*u = 3*p + 258, -5*u = a*p - 6*p - 623. Calculate the remainder when u is divided by 42.
39
Suppose -4*x + 127 = -257. Calculate the remainder when x is divided by 17.
11
Let c(w) = 14*w - 360. Calculate the remainder when c(28) is divided by 18.
14
Suppose -9*w = -7*w - 4*f - 44, w + 3*f = -3. What is the remainder when 477 is divided by w?
9
Let y(p) = p**2 + p - 1. Let h(z) = z**3 + z**2 - 7*z + 2. Let r(n) = -h(n) - 3*y(n). Calculate the remainder when r(-6) is divided by 1/4*92 - (-4)/2.
24
Let d = -183 - -318. Calculate the remainder when d is divided by 20.
15
Suppose 2*o - 132 = s, -68*o + 71*o = 5*s + 212. What is the remainder when o is divided by 5?
4
Let o = -41 + 103. What is the remainder when o is divided by (-1)/3 + 5/(90/204)?
7
What is the remainder when 274/((-3)/2*56/(-42)) is divided by 36?
29
Let s(u) be the third derivative of -u**5/60 + 17*u**4/24 + 5*u**3/6 - 3*u**2. Calculate the remainder when 10 is divided by s(17).
0
Let w = 127 - -27. Suppose -3*m + 496 = w. What is the remainder when m is divided by 23?
22
Let f(b) = 2*b - 2. Let v be f(3). Suppose 5*m - 69 = v*s, 0 = -3*m + s + 4*s + 31. Suppose -x + 17 = -16. What is the remainder when x is divided by m?
16
Suppose 3*t - 378 = -24*t. Calculate the remainder when 54 is divided by t.
12
Let d be 29/3*(3 + -6). Let b = d + 44. Calculate the remainder when 29 is divided by b.
14
Let w(f) = 2*f**2 + 7*f - 30. Let z(q) = -3*q + 5. What is the remainder when z(-6) is divided by w(3)?
5
Suppose -3*q + 3 = -0*q, 0 = 4*t - 4*q + 20. Suppose 2*n - 3*o + 60 = -0, -5*n - 108 = 3*o. What is the remainder when 10/t*n - -4 is divided by 13?
12
Let g be (-2*3)/((-16)/(-40)). Let f = g + 8. Let q = 19 + f. What is the remainder when 47 is divided by q?
11
Suppose 5*r = r + 12. Suppose h = 5*w - 66, 4*w = 4*h - 0*h + 56. Suppose -5*l + w = -4*n + 41, -2*n = 3*l - 36. What is the remainder when n is divided by r?
0
Let x be -5 + 2 + -6 + 13. Calculate the remainder when x + 11 - (-3)/(-1) is divided by 8 - ((-3)/1 - -4).
5
Let q be 61 - (0 + (0 - -1)). Let i = -33 - -56. Let s = q + i. What is the remainder when s is divided by 21?
20
Let a be 11/((-44)/(-24))*(2 + -1). Suppose 4*v - 23 = -g, 4*g + a = -v - 7. Calculate the remainder when 18 is divided by v.
4
Let l be 4/(-1) - (8 + -15). Suppose l*u = i + 7, 3*u - 5*i - 2 = -3*i. Suppose -u*g = -9*g + 320. What is the remainder when g is divided by 17?
13
Suppose -5*j + 221 = -2*k, -j - 2*j + 114 = 5*k. Let b be 8/(-3) - (-4)/6. Let t = j + b. Calculate the remainder when t is divided by 11.
8
Let m(a) = 28*a + 1. Calculate the remainder when m(2) is divided by 23.
11
Let n be (65/52)/(2/56). Suppose n*i - 30 = 30*i. Calculate the remainder when 17 is divided by i.
5
Suppose 0 = 4*b - 30*b + 5174. Calculate the remainder when b is divided by 17.
12
Suppose 7 = -6*s + 5*s. Calculate the remainder when 24 is divided by s/(-28) + 105/12.
6
Suppose -75 = -2*m + 5*m. Suppose o + o + 70 = 0. Let k = m - o. What is the remainder when k is divided by 6?
4
Let k be ((-54)/63)/((-3)/14). Suppose 0 = -g - s, -6*g + 1 = -k*g + s. Let z(l) = l + 10. Calculate the remainder when z(-9) is divided by g.
0
Calculate the remainder when ((-85)/34)/(2/(-40)) is divided by 13.
11
Let z(j) = -j**3 + 11*j**2 - 98*j + 727. Suppose 2*g = -757 - 281. What is the remainder when (-2)/(-7) - g/21 is divided by z(9)?
4
Let f = 15 + 0. Let u be 8/(-6)*(-27)/6. Let w = u + f. What is the remainder when 41 is divided by w?
20
Let g = 629 - 613. Suppose 5 - 50 = -p. Calculate the remainder when p is divided by g.
13
Suppose -18*t - 1062 = -3240. Calculate the remainder when t is divided by 33.
22
Let w = -29 + 32. Suppose 0 = 2*s, -w*s = 5*z - 10*z + 30. Calculate the remainder when 9 is divided by z.
3
Let f = -24 - -35. Suppose f - 3 = 4*d. Suppose 0*l + 12 = d*l. Calculate the remainder when 15 is divided by l.
3
Suppose 0 = 3*f - 5*h - 269, 3*f - 103 = 2*f + 5*h. What is the remainder when 225 is divided by f?
59
Let r(f) = -4*f - 32. Calculate the remainder when 192 is divided by r(-15).
24
Calculate the remainder when -1*(-10)/(-55) - (-7506)/22 is divided by 58.
51
Let g = -13 + 13. Suppose g*v + 333 = -3*v. Let x = v - -167. Calculate the remainder when x is divided by 19.
18
Suppose 0 = 3*p + 2*j - 162, -3*p - 4*j + 54 = -2*p. Suppose 6*h = h + 70. Calculate the remainder when p is divided by h.
12
Let n(o) = -o + 12. Calculate the remainder when n(-10) is divided by 6.
4
Let w = -72 - -70. Calculate the remainder when -4 - -1 - w*28 is divided by 18.
17
Let b(t) = -t**2 + t + 13. Suppose 114*a = 1339 + 1397. Calcula