4. Suppose 3*u = -g*u + 123. Calculate the remainder when u is divided by 21.
20
Suppose 0 = -50*j + 43 + 1457. Let g(o) = 12*o**2 - 2*o + 1. Calculate the remainder when j is divided by g(1).
8
Let x(v) = v**3 - 13*v**2 + 31*v + 18. Calculate the remainder when 81 is divided by x(10).
25
Let u(c) = 2*c**3 - c**2 - 3*c + 3. Suppose 2*i + 232 = 3*p, -13*p + 75 = -12*p - 3*i. Calculate the remainder when p is divided by u(2).
6
Let j = -12 - -57. Suppose -j*d + 16 = -44*d. Calculate the remainder when d is divided by 9.
7
Suppose 0 = 2*n + 4*k - 3694, -2 = -4*k - 22. Calculate the remainder when n is divided by 143.
141
Let d = 2 - 4. Suppose -5 = -2*h - 3. Calculate the remainder when h - (-3 + 7)/d is divided by 1.
0
Let l be (-1)/((-2)/(-15) - 107/765). Suppose 0 = -2*n - 2*n - 5*p + l, n - 38 = -p. What is the remainder when n is divided by 20?
17
Let d = -159 - -187. Calculate the remainder when 162 is divided by d.
22
Suppose 5*x = 6*x - 3. Suppose 207 = 5*j - 2*j + 3*v, 9 = -x*v. Calculate the remainder when j is divided by 15.
12
Suppose -j - 4*s + 2*s + 23 = 0, -3*j = 2*s - 53. Suppose 0 = -5*n - 5, 4*i - 5*i + 540 = 4*n. Calculate the remainder when (-6)/j - i/(-10) is divided by 11.
10
Suppose -3*v - l + 499 = 0, 845 = 5*v - 3*l - 2*l. What is the remainder when v is divided by 35?
27
Let x = 220 - 100. Calculate the remainder when x is divided by 43.
34
Let g(k) = -k**2 - 11*k + 12. Let u(r) = -r**3 - 4*r**2 + 3*r. Let z be u(-4). Let t be (-96)/9 - (-4)/z. What is the remainder when 33 is divided by g(t)?
9
Suppose -j = -0*j - 50. Let r = j - 35. Let w(h) = h**2 + 6*h. Calculate the remainder when w(-9) is divided by r.
12
Let n(l) = -l**3 - 15*l**2 - 13*l + 2. Let h be n(-14). Calculate the remainder when 44 + 1 + -3 + 6 is divided by 8/h*3 - -19.
14
Let d(s) = -5 + 1 - 25*s + 1 - 5. What is the remainder when d(-5) is divided by 40?
37
Suppose x + 4*x - 18 = 4*d, x + 3*d = -4. Calculate the remainder when ((-30)/(-9))/(x/51) is divided by 18.
13
Let h(b) = -28*b - 103. Calculate the remainder when h(-6) is divided by 22.
21
Suppose -189 = -4*z + 179. Let k = z - 89. Calculate the remainder when 5 is divided by k.
2
Let b = -35 + 55. What is the remainder when 55 is divided by b?
15
Suppose -4*o - 3538 = -3*y, -23*y + 5*o + 4716 = -19*y. Calculate the remainder when y is divided by 11.
8
Suppose 4*f + 199 = 2*q + 7, 0 = 4*q + 4*f - 336. Calculate the remainder when q is divided by 25.
13
What is the remainder when ((-128)/192)/(2*1/(-993)) is divided by 112?
107
Let h = 135 - 108. Calculate the remainder when 132 is divided by h.
24
Suppose 2 = 13*b + 15, -147 = -3*a - 3*b. Calculate the remainder when 98 is divided by a.
48
Let l(t) = -t**3 - t**2 + 5*t - 15. What is the remainder when l(-6) is divided by 25?
10
Suppose 0*u - 5*u = -20. Suppose 2*v - u*l - 26 = 0, -4*v - 6*l = -2*l - 52. What is the remainder when v is divided by 7?
6
Let f = -185 + 214. What is the remainder when f is divided by 17?
12
Suppose -4*r + 1 = -q - 118, -r = 2*q - 41. Let v = r - 22. What is the remainder when 15 is divided by v?
6
Suppose -o + 6*o - 524 = -2*v, 0 = v + 5*o - 267. Calculate the remainder when v is divided by 20.
17
Suppose 2*l = 4, -3*l - 9 = -5*p + 30. Suppose d + 4 = 0, 0 = 3*s - 2*d - 11 - p. Suppose -2*a + s*a = 72. What is the remainder when a is divided by 19?
17
Suppose 0 = -15*j + 17*j + 4. Suppose 0 = -5*o - 2 + 47. What is the remainder when (j/(-1) + -4)/((-2)/35) is divided by o?
8
Suppose 0 = x + 4 - 6. Suppose 0 = -x*s - 43 + 7. What is the remainder when s*(-15)/9*3 is divided by 23?
21
Let w(n) = -n**3 + 4*n**2 + 2*n + 4. Calculate the remainder when 107 is divided by w(4).
11
Suppose 0 = 3*a - z - 293, -a - 32*z + 29*z = -111. What is the remainder when 989 is divided by a?
98
Let z = -1488 - -1505. What is the remainder when 53 is divided by z?
2
Let w(j) = -j**3 + 4*j**2 + 3*j - 5. Let k be w(4). Let n(g) = g**2 - 6*g + 9. Calculate the remainder when 29 is divided by n(k).
13
Let g = -7 - -11. Calculate the remainder when 53 is divided by 2/(-8) - (-73)/g.
17
Suppose 0 = 4*n + 7*n - 660. What is the remainder when n is divided by 21?
18
Suppose 0*u - 4*t = -2*u + 24, u + 3*t + 8 = 0. Suppose -y - 44 = -3*y + 2*k, 3*y = -u*k + 94. What is the remainder when 102 is divided by y?
24
Suppose -23 + 39 = 4*r. Suppose -d + r*s - 1 = -5, -5*d - 5*s + 20 = 0. Suppose 4*w = -2*f + 3*w + 5, -4 = -d*w. What is the remainder when 8 is divided by f?
0
Let l = -3 + 5. Let q(y) = 2 + 11*y**2 + l*y + y**3 - 3*y - 3 + 8*y. What is the remainder when q(-10) is divided by 8?
5
Suppose -21 = -5*w + 124. Let p(x) = 6 - 107*x + 56*x + 53*x. Calculate the remainder when w is divided by p(0).
5
Let l(v) = 5*v**2 + 87*v - 24. Calculate the remainder when l(-19) is divided by 58.
12
Let f = 101 - 27. Let q = f - 70. Suppose -4*j - 4*k + 32 = 0, -k - 33 = -5*j + 1. Calculate the remainder when j is divided by q.
3
Let y = -503 - -1284. Calculate the remainder when y is divided by 14.
11
Suppose 65*s + 353 + 616 = 82*s. Suppose q + 5*i = 3*q - 12, -5*q + 3*i = -11. Let u(z) = 12*z. Calculate the remainder when s is divided by u(q).
9
What is the remainder when (-2)/2*(4 - 8) - -533 is divided by 20?
17
Suppose 2*m - 8 = 3*m. Let x = 13 + m. Suppose x*y - 2*j - 80 = y, -y = j - 20. Calculate the remainder when 79 is divided by y.
19
What is the remainder when 8 + (-89)/(-5) + (-32)/40 is divided by (-188)/(-20) - (-2)/(-5)?
7
Suppose -4*c - c = 90. Let k = 41 + c. Suppose 2*o + 269 = 3*w, 4*w - 527 = 2*o - 167. Calculate the remainder when w is divided by k.
22
Suppose 4*w - 32 = -2*y, -6*y = 2*w - 3*y - 8. Calculate the remainder when ((-12)/10)/((-1)/15) is divided by w.
8
Let t = 39 + -15. Suppose -3*s - 2*o = -2*s - t, -s = -o - 21. What is the remainder when s is divided by (-5)/((-15)/33) - 3?
6
Let o(s) = -s**3 + 16*s**2 - 20. Let q be o(16). Suppose -3*i = 15 + 21. Let f = i - q. Calculate the remainder when 38 is divided by f.
6
Let h = -75 + 92. What is the remainder when 46 is divided by h?
12
Calculate the remainder when 58 is divided by (-6)/((-1)/5*6/3).
13
Let f be (-672)/(-63) + (-4)/6 + -3. Suppose -5*k + 14 = 5*q - f*k, q = -k + 7. Calculate the remainder when 5 is divided by q.
1
Suppose -182 = -150*p + 136*p. Calculate the remainder when 297 is divided by p.
11
Let o = -1 + 0. Calculate the remainder when 375/(-15)*3*o is divided by 26.
23
Let u(n) = -2*n**3 - 2*n**2 - 4*n + 3. Let h = 33 + -37. Calculate the remainder when u(h) is divided by 29.
28
Let g(x) = x**2 + 4*x - 4. Let z be g(-5). Let h(a) = -z + 11*a - 2*a + 0. What is the remainder when h(3) is divided by 14?
12
Suppose -3*v + 5*u + 105 = 17, v - 3*u = 24. What is the remainder when 36 is divided by (-12)/(v/(-6)) - -11?
10
Suppose 7*o = 44 + 61. Calculate the remainder when (-16)/(-4) + -3 + 2 + 85 is divided by o.
13
Let x(f) = f + 59. What is the remainder when 189 is divided by x(-10)?
42
Let b = 348 + -206. Suppose -7*d = 16 - b. What is the remainder when d is divided by -2*(2 - (-11)/(-2))?
4
Suppose -9 = 3*j, 5*j - 3 = -5*k + 47. Calculate the remainder when 50 is divided by (-3 + k)/1 - -3.
11
Suppose 0*r + 2*r + 4*s - 8 = 0, r = -3*s. Calculate the remainder when 14 is divided by r.
2
Let x be ((-8)/44 + (-23)/55)*-5. Suppose 25 = x*w + 4*i, -3*w + 2*i = -2*w - 5. Calculate the remainder when w is divided by (-1)/6 - (-130)/60.
1
Let h(d) = -d + 10. What is the remainder when 2 + -9*14/(-3) is divided by h(-5)?
14
Let u(s) = -6 - 25*s - 4 + 23*s. Calculate the remainder when 79 is divided by u(-13).
15
Suppose -75*n + 3312 = -39*n. What is the remainder when n is divided by 55?
37
Let t(d) = -12*d - 4. Calculate the remainder when 143 is divided by t(-3).
15
Let l(o) = o**2 - 4*o - 3. Let w be l(2). Let b(a) be the third derivative of -a**4/8 + 5*a**3/6 - a**2. What is the remainder when 101 is divided by b(w)?
23
Let z = -228 - -252. Calculate the remainder when 91 is divided by z.
19
Suppose -3*p - 30 = -84. Let z = 9 + -8. Suppose q - z = 6. What is the remainder when p is divided by q?
4
Let d(x) = -22*x. Let m(y) = -y + 1. Let u be m(3). What is the remainder when d(u) is divided by (2/3)/((-2)/(-27))?
8
Let a be (4/6)/(10/30). Let z = 8 + a. 