+ 1. Let x be y(2). Suppose x*s = 3*h - 63, 57 = 3*h + 2*s - 6. What is the remainder when h is divided by 8?
5
Suppose 5*v + 5*w - 7 = 3, 4*w = v - 17. Suppose -11 - 4 = -v*o. What is the remainder when 7 is divided by o?
1
Suppose 3*a + 4*t = -232, 5*t - 102 = 3*a + 94. Calculate the remainder when (-3762)/a + (-1)/4 is divided by 18.
16
Let u(q) = -q**2 - 2*q. Let p be u(-2). Calculate the remainder when 2 is divided by (3 + p + -1)/2.
0
What is the remainder when 16/(-6)*(-3)/2 is divided by (-3)/(-3) + (1 - 0)?
0
Let l be (-8)/(-10) - (-1)/5. Suppose -d - 3*q + 0 = -l, -d + 4*q = -8. Calculate the remainder when 11 is divided by d.
3
Let g be 7 + 1/(2/(-4)). Calculate the remainder when (g/4 + 0)*28 is divided by 3/45*6*30.
11
Let r = -35 + 107. Suppose -5*y + 8*y - r = 0. Calculate the remainder when 69 is divided by y.
21
Suppose 3*u + 3*m = 114, 3*m - 37 + 87 = u. Let i(x) = x**3 - 2*x. What is the remainder when u is divided by i(3)?
20
Calculate the remainder when 198 is divided by ((-1)/(-1))/((-3)/(-75)).
23
Let x = -11 - -2. Let t = -5 - x. Suppose -54 = -t*s + 2*s. Calculate the remainder when s is divided by 14.
13
Let v(b) = 11*b - 1. Calculate the remainder when 5/(25/10)*31 is divided by v(2).
20
Suppose 0 = -f - 2*f + 63. What is the remainder when 38 is divided by f?
17
Let b = 8 + 9. Let g(k) = -2*k + 5. Let t(j) = -5*j + 16. Let q(p) = b*g(p) - 6*t(p). What is the remainder when 61 is divided by q(-8)?
19
Suppose 0 = 2*y - 4*y - 9860. What is the remainder when y/(-65) - (-2)/13 is divided by 20?
16
Suppose -44 = d - 5*d. Calculate the remainder when 40 is divided by d.
7
Suppose 130 = 2*j - 4*w, j - w - 24 = 43. What is the remainder when j is divided by 24?
21
Suppose -55 = 4*x - 411. Let p = -42 + x. What is the remainder when p is divided by 12?
11
Let w = 8 - -3. Calculate the remainder when w is divided by 7.
4
Suppose 0 = 4*j - 2*b - 130, 5*j - 4*b + b - 165 = 0. What is the remainder when 118 is divided by j?
28
Suppose 2*c - 2*t + 6 = 34, 64 = 5*c - 3*t. Calculate the remainder when 87 is divided by c.
10
Let f be -3 + 5 - (-42)/2. Let o = 69 + -17. Let t = o - f. What is the remainder when t is divided by 10?
9
Let g = 158 - 101. What is the remainder when g is divided by 15?
12
Let l be (-9)/(-2)*4/(-6). Let c = l + 4. What is the remainder when 2 is divided by c?
0
Let z = 13 - -17. Calculate the remainder when z is divided by 12/((18/(-8))/(-3)).
14
Let r(o) = -2*o**2 - 27*o + 26. What is the remainder when 31 is divided by r(-14)?
7
Let p(g) = -g**2 + 15*g + 5. Let q be p(16). Let x = 24 + q. Calculate the remainder when 37 is divided by x.
11
Suppose -6*f = -3*f - 165. Calculate the remainder when f is divided by 14.
13
Suppose f = -0*f + 46. Let q = f - 20. What is the remainder when q is divided by 7?
5
Let g(d) = -d**2 + 5*d. Let j be g(5). Suppose j = m - 6*m + 20. What is the remainder when m is divided by 1*(2 - (1 - 1))?
0
Suppose h = -0*h + 16. Suppose 2*t = 7*t - 30. What is the remainder when h is divided by t?
4
Let c be ((-2)/2)/((-2)/(-4)). Let y(w) = w**2 + w - 1. Calculate the remainder when 3*1 + (-6 - -4) is divided by y(c).
0
Let z = -4 - -7. Suppose -2*y = z*y - 25. What is the remainder when y is divided by 4 + 4 + (-8 - -3)?
2
Suppose 0*l + 2*l = 8. Suppose -165 = 4*w - 6*w - 5*v, 5*w = 2*v + 340. Suppose -l*q + 9*q = w. What is the remainder when 27 is divided by q?
13
Suppose 4*w - 122 - 238 = 0. Calculate the remainder when w is divided by 31.
28
Let z(w) = w + 26. Suppose 4*u - 4*v = -6 + 22, 8 = 2*u + 4*v. Calculate the remainder when z(-11) is divided by u.
3
Suppose 4*q - 44 = 88. Let r(a) = a**2 + a + 17. What is the remainder when q is divided by r(0)?
16
Suppose -4*l - g + 37 = 0, 0*l = -l + 2*g - 2. Calculate the remainder when 1/(-1 - (-30)/28) is divided by l.
6
Let i = 27 - -28. Suppose m + 3*q = 6*m - 40, -4*m = -q - 32. Calculate the remainder when m is divided by (-106)/(-22) - (-10)/i.
3
Let o(r) = -r**2 + 10*r + 3. Let x be o(10). Let v be 9/(x + 0)*1. Suppose -v*j + 11 + 10 = 0. Calculate the remainder when j is divided by 4.
3
Suppose -5*b - 5 = 0, r + 5*b - 3 = 5. Calculate the remainder when r is divided by 3.
1
Suppose -19*r + 527 - 33 = 0. What is the remainder when 61 is divided by r?
9
Suppose 4*s - 71 = 4*t + 145, -4*s + 5*t + 217 = 0. What is the remainder when s is divided by 11?
9
Let s be ((0 + 5)/1)/(-1). What is the remainder when 9 is divided by (-3)/(-1) + s + 7?
4
Let z(v) = v**2 - 2*v - 7. Let y be z(6). Let c(s) = y - 5 + 0 - s. What is the remainder when 22 is divided by c(0)?
10
Let b(q) = -q**3 + 2. Let z(m) = 3*m - 5. Calculate the remainder when z(18) is divided by b(-2).
9
Let o = 42 - 28. Calculate the remainder when 95 is divided by o.
11
Suppose 5*l = 10, l - 72 = 5*j + 5*l. What is the remainder when 12/(-8)*j/6 is divided by 1?
0
Suppose 3*a - 2*p = 0, 0 = a - 4*p + 3*p. Suppose a = 2*j - 3*o - 40, o = 2*j - 4*j + 24. What is the remainder when 26 is divided by j?
12
Suppose -2 = 4*p - 2*p. Suppose -3*w = -m + 9, -3*m = w - 4 - 13. Let l = p + m. What is the remainder when 8 is divided by l?
3
Suppose -18 = m + 4*n, 2*n = 5*m + 4*n. Calculate the remainder when 3/((-6)/14)*-1 is divided by m.
1
What is the remainder when 13 is divided by 354/42 - 8/(-14)?
4
Calculate the remainder when 1/(-5) - (-284)/20 is divided by 5.
4
Let d(t) = -8*t**3 + 3*t**2 + t - 1. What is the remainder when d(-2) is divided by 19?
16
Let f(p) = -7*p + 7. Let g(u) = 13*u - 13. Let d(q) = 5*f(q) + 3*g(q). What is the remainder when d(6) is divided by 11?
9
Let o = 254 - 118. Calculate the remainder when o is divided by 23.
21
Suppose -k + 17 - 4 = 0. Calculate the remainder when k is divided by 8.
5
Suppose -12*j + 13*j = 17. Let d(n) = n**3 + 3*n**2 - 3*n - 4. Calculate the remainder when j is divided by d(-3).
2
Suppose 3*n - 60 = -n. Calculate the remainder when n is divided by 6.
3
What is the remainder when 41 + 3/(-12)*0 is divided by 11?
8
Calculate the remainder when 41 is divided by 4 - (3 - 0) - -14.
11
Suppose -b - 3 + 76 = 5*n, -4*b = 8. Let f = 88 + -79. What is the remainder when n is divided by f?
6
Let b(p) = 4*p**2 - 2*p. Let u be b(4). Suppose -64 = -5*o + u. Calculate the remainder when o is divided by 13.
11
Calculate the remainder when 17 is divided by -2 + (7 + 2 - -3).
7
Let g be (-70)/(-4)*(-4)/(-5). Let b = 19 - g. What is the remainder when 19 is divided by b?
4
Suppose -5*b - z + 35 = 0, -3*b = b + z - 27. Let x = -3 + b. What is the remainder when 14 is divided by x?
4
Suppose -4*d + 3 = -17. Suppose -c - d = -2*u - 6*c, -2*u + 3*c = -13. What is the remainder when u is divided by 2?
1
Let z = -1 - -4. Suppose 0*x - 2*x + 70 = z*n, 0 = 4*n. What is the remainder when x is divided by 12?
11
Let w(a) = 8 - 10*a + 0 + 3*a. What is the remainder when w(-13) is divided by 25?
24
Suppose 160 = 5*q - 5*z, q - 4*z - 36 = -7*z. Suppose -4*s + 60 = -16. Let p = q - s. Calculate the remainder when 53 is divided by p.
11
Calculate the remainder when 30 is divided by 4 - (-1)/((-5)/(-50)).
2
Suppose 0 = 11*a - 64 - 365. Calculate the remainder when 115 is divided by a.
37
Suppose r + 3*r - 2*h = 238, -3*r + 196 = -5*h. What is the remainder when r is divided by 15?
12
Let j be (-9)/(-6)*8/6. Calculate the remainder when 38 is divided by j/10 + (-441)/(-45).
8
Suppose -p + 0*p = -4. Suppose 7*y - 128 = -2*f + 3*y, p*y = 5*f - 334. What is the remainder when f is divided by 17?
15
Suppose 0 = 6*b - 4*b - 28. Suppose -5*s = -0*f - 3*f - b, 5*s + 3*f - 26 = 0. Suppose 0*p - s*p = -28. Calculate the remainder when 20 is divided by p.
6
Let r(u) = -u**3 - 3*u**2 + 3*u. What is the remainder when 7 is divided by r(-4)?
3
Let j be (-2)/(-3) - (-570)/(-45). What is the remainder when (-872)/(-20) - j/(-20) is divided by 22?
21
Let i(t) be the first derivative of t**2 - 2*t - 1. Let z be i(3). Suppose 4*w = 2*w + 5*y + 3, -z*y + 6 = -w. What is the remainder when 41 is divided by w?
13
Let m(p) = p**3 + 11*p**2 - 14*p - 15. Let l be 8/40 + (-18)/(-10). Calculate the remainder when -1 + l - 16*-1 is divided by m(-12).
8
Suppose -v = -5*s - 17, -2*v - s - 4*s + 49 = 0. What is the remainder when 87 is divided by v?
21
Let x = 88 - 46. What is the remain