+ 4. Calculate the remainder when 125/10 + p/((-16)/6) is divided by 6.
5
Suppose -16*m + 2*m + 966 = 0. Calculate the remainder when 963 is divided by m.
66
Let n(h) = h**3 + 4*h**2. Let t be n(-2). Suppose -317 = t*r - 1133. What is the remainder when r is divided by 8?
6
Let m(r) = -r + 32. Let x be m(0). Suppose -5*q + x = 3*b, 0 = 4*q - q + b - 20. What is the remainder when 32 is divided by q?
4
Let j = 712 - 334. Suppose -2*g = 4*g - j. What is the remainder when g is divided by 17?
12
Let k(i) = i + 81. What is the remainder when k(11) is divided by 48?
44
Let p be 15/35 + (-54)/(-21). Suppose -50 = -p*z - f, -z + 16 = 2*f - 9. What is the remainder when 58 is divided by z?
13
Suppose -2*n + 6 = n. Suppose -n*b = 3*b - 60. Let s(y) = -4*y + 17. Calculate the remainder when s(-10) is divided by b.
9
Suppose 5*z - 24 = -z. Suppose -r + 4*b + 94 = 9*b, -r - z*b = -91. Suppose 4*m + 2*t = r - 3, -3*m = -5*t - 44. What is the remainder when 70 is divided by m?
16
Let u(b) = -b + 8. Suppose -4 = t - 0. Let s be (18/(-27))/(t/(-18)). What is the remainder when 41 is divided by u(s)?
8
Suppose 45*p + 55 = 46*p. What is the remainder when p is divided by 29?
26
Suppose -4*a + 216 = 3*u, 10*a - 4*u = 14*a - 216. What is the remainder when a is divided by 15?
9
Let o = -350 - -526. Calculate the remainder when o is divided by 46 - -3*(2 + (-14)/6).
41
Suppose -48 = -8*m + 4*m. Suppose -5*c + m = 4*l - 2*l, 3*l + 2*c - 29 = 0. Let a(z) = 2*z**2 - 5*z - 1. Calculate the remainder when a(6) is divided by l.
8
Calculate the remainder when 196 is divided by (-56)/7 + 7 - -19.
16
Let m be 1 + -2 - (4 - 5). Suppose m*i - 490 = -5*l + 5*i, 3*l - 2*i - 292 = 0. Suppose 9*z - 7*z - l = 0. Calculate the remainder when z is divided by 10.
8
Let i = 123 + -120. Suppose i*l = 3*q + 24, q = 6*l - 3*l - 28. What is the remainder when 46 is divided by l?
6
Calculate the remainder when 97 is divided by ((-2)/(-6))/((-1)/3) + 29.
13
Let w be 42/5 - (-3)/5. Let k = w - 8. What is the remainder when 3 is divided by k?
0
Let s(g) = 4*g**2 - 3. Let y = -66 + 61. Calculate the remainder when s(y) is divided by 34.
29
Suppose 5*t - 10 = -4*d, -6*t + 4 = -4*t - d. Calculate the remainder when 1 - (-10)/(-1 - -3) is divided by t.
0
Suppose -67 - 117 = -4*j. What is the remainder when 411 is divided by j?
43
Suppose -1722 = -3*k - 38*k. What is the remainder when k is divided by 11?
9
Let b = -985 + 1046. What is the remainder when 670 is divided by b?
60
Calculate the remainder when 18/(-36)*-4*20 is divided by (-7)/3*(-1 - 8).
19
Let v(h) = h**3 - 8*h**2 + 16*h + 1. Calculate the remainder when 166 is divided by v(5).
4
Calculate the remainder when -2 - -1*(25 + -2) is divided by 8 - (0*2/4)/(-1).
5
What is the remainder when (-3)/18 - 74907/(-378) is divided by 17?
11
Let h = 56 + 57. Suppose -b - 1 = -5. Suppose b*q - 100 = 16. What is the remainder when h is divided by q?
26
Let w(v) = -3*v**2 - 38*v - 28. Suppose 3*q - 6*q = -12. Let o(d) = -d**3 + 4*d**2 + d + 3. Calculate the remainder when w(-11) is divided by o(q).
6
Suppose 0*x - 6*x - 48 = 0. Let q(c) = -7*c**2 - c**3 - 5*c + 7*c + 0 + 3. Calculate the remainder when q(x) is divided by 13.
12
Let t = 2 + 43. Calculate the remainder when t is divided by 16.
13
Let k = -17 - -30. Let n(c) = c**2 + 12*c + 10. Let d be (-270)/20 + (-2)/4. Calculate the remainder when n(d) is divided by k.
12
Suppose -26*q + 154 = -19*q. Let z(l) = -l**3 + 2*l**2 + 7*l - 3. What is the remainder when z(-4) is divided by q?
21
Let r(a) = a**2 + 3*a + 6. Suppose -z - 10 = z. Let s = -31 + 93. Calculate the remainder when s is divided by r(z).
14
Suppose 452 = 17*r + 78. Suppose -17 = w + 3. Let m = r + w. What is the remainder when 6 is divided by m?
0
Let u be 2/(2 + 6/(-4)). Calculate the remainder when 9 is divided by (-6)/(u + (-10 - -4)).
0
Suppose 2*w + 1028 = 1040. Calculate the remainder when 46 is divided by w.
4
Let k = 51 + -73. Let w = 43 + k. Let r = -6 - -18. What is the remainder when w is divided by r?
9
Suppose -4*q + 59 = -2*q + h, -5*q + 3*h + 153 = 0. What is the remainder when 173 is divided by q?
23
Let x = -573 - -596. Suppose 15 = j - 0*j. Calculate the remainder when x is divided by j.
8
Suppose k + 4*m = -28, -k = -5*m + 9 + 19. Let q = k + 120. Calculate the remainder when q is divided by 24.
20
Suppose -6*i + 0 + 48 = 0. What is the remainder when 12 is divided by i?
4
Suppose -3*f = m - 2*f - 17, 34 = 2*m + 4*f. Suppose 3*p + 3*u - 51 = -0*u, -p + u + m = 0. Calculate the remainder when p is divided by 10.
7
Suppose -29*q = -293 - 142. What is the remainder when 74 is divided by q?
14
Calculate the remainder when (-3531)/22*(-2)/3 is divided by 27.
26
Let n(q) = 19*q**2 - 126*q + 247. Calculate the remainder when n(2) is divided by 16.
7
Let u(g) be the third derivative of -1/8*g**4 - 8*g**2 + 0*g - 13/6*g**3 + 0. Calculate the remainder when 30 is divided by u(-8).
8
Let w = -670 - -800. Calculate the remainder when w is divided by 27.
22
Let z(l) = 13*l - 115. Calculate the remainder when z(12) is divided by 7.
6
Let g = 36 - 34. Suppose -6 = -5*m + g*m. Calculate the remainder when m is divided by 1.
0
Let p(u) = -3*u - 5. Suppose 9*f = 6*f - 9. Suppose -v - 10 = -2*v. Calculate the remainder when v is divided by p(f).
2
Let z(x) = x**3 - 5*x**2 + 4*x - 5. Suppose -2*g - 1 = -5. Suppose -6*u - 3*n + 114 = -g*u, 139 = 5*u + 2*n. Calculate the remainder when u is divided by z(5).
12
Let g be 0 - 4 - 40/4. What is the remainder when 94 is divided by 346/14 - 1 - 4/g?
22
Suppose 5*k + 2*q - 7*q = 290, -2*q + 100 = 2*k. Let t = -1 + k. Calculate the remainder when t is divided by 29.
24
Suppose -6*y + 53 = 2*s - y, 0 = s - 5*y - 4. Let g = 30 - s. Suppose -7*p + 159 = -4*p. What is the remainder when p is divided by g?
9
What is the remainder when 7/(15 + -8) - -238 is divided by 10?
9
Let w = 207 + -152. What is the remainder when 219 is divided by w?
54
Let x = 802 - 472. Suppose -8*z + 19*z - x = 0. What is the remainder when 56 is divided by z?
26
Let t = 11 - -3. Let d be (t/(-1))/((-11)/88). Let p = d + -25. Calculate the remainder when p is divided by 30.
27
Let p(v) = 268*v**2 - 5*v - 4. Calculate the remainder when p(-1) is divided by 135.
134
Let j(y) = 33*y**3. Suppose 0 = 3*u - 0*u - 42. Suppose -2*i + 12 = 2*f - u, -5*i + 53 = 4*f. Calculate the remainder when j(1) is divided by f.
9
Let f(z) = 5*z**3 - z**2 + 2*z. Let x be f(2). Suppose 5*b = 5*k + x, 0 = -5*b + k + k + 55. Let c = b - -28. Calculate the remainder when c is divided by 14.
13
Suppose 5*u + 486 = 3*t, 0 = -3*u - 2*u. Let g = -75 + t. What is the remainder when g is divided by 22?
21
Let i = 3 + 10. Suppose 3*s = 5*s, 130 = 2*g + 3*s. What is the remainder when g is divided by i + (-19 - -3)/(-4)?
14
Calculate the remainder when (1 + (-7)/35)/(6/3435) is divided by 22.
18
Suppose 2*p = 4*s + 3182, -5*p - s + 7981 = 2*s. What is the remainder when p is divided by 57?
56
Let q = -135 - -68. Let p = -57 - q. What is the remainder when 22 is divided by p?
2
Let t = -676 - -1002. What is the remainder when t is divided by 66?
62
Let h(v) = -v - 2. Let l be h(-6). Calculate the remainder when -31*((-3)/(-9) + l/(-3)) is divided by 8.
7
Let i(o) = -o**2 - 6*o + 29. What is the remainder when 37 is divided by i(-8)?
11
Suppose -2*j + 112 = 3*j - 4*o, -5*j + 2*o = -106. What is the remainder when 578 is divided by j?
18
Suppose 3*m = -4*y + 137, 4*y - 219 = -5*m + 2*y. What is the remainder when 50 is divided by m?
7
Let q be 3 + -5 + (36 - 2). Let x(b) = q*b - 2 + 41*b - 57*b. Calculate the remainder when 117 is divided by x(2).
27
Let i(y) = 7*y**2 + 2*y + 3. Let c be i(-3). Suppose 12*k - c = 7*k. Suppose -4*o = k, -r + 5*o + 14 = -3. What is the remainder when 3 is divided by r?
1
Suppose -v = 5*r - 106, 2*v + 13*r - 177 = 10*r. Calculate the remainder when 890 is divided by v.
80
Let p = 164 + -32. Let j be 1/(-4 - (-531)/p). Calculate the remainder when 17 is divided by -1 + j/4 + 0.
7
Let h = -192 + 204. Calculate the remainder when h is divided by 12.
0
Let d be 1/(5*3/75). Let u be 4*3*24/9. Suppose -3*m = -5*p - 0 - 46, -d*p - u = -m. Calculate the remainder when 9 is divided by m.
2
Suppose -w + 5 = 0, -3*p - w = -5*w - 64. 