r is divided by 23.
21
Suppose 4*f - 26 - 11 = -5*t, -16 = 3*f - 5*t. Suppose f*w + 3*q - 248 + 98 = 0, 2*w - 85 = 3*q. Let l = 40 - 24. What is the remainder when w is divided by l?
15
Suppose 4 = 2*o, o - 33 = -3*a + 2. Suppose 4*j = j - c + 60, j = -2*c + 15. What is the remainder when j is divided by a?
10
Let w(n) = -n**2 + 14*n - 5. Suppose 18 = v + 2*v. What is the remainder when w(v) is divided by 23?
20
Let m be -3*(-12)/(-9)*-2. Calculate the remainder when (-1205)/(-20) + 6/m is divided by 16.
13
Suppose -4*u + 85 = u. Calculate the remainder when 30 is divided by u.
13
Suppose 2*y - 26 = y. Let u(l) = l**2 + 76. What is the remainder when u(0) is divided by y?
24
Let z = 11 + -3. Let g(q) = -q**3 + 8*q**2 + 2*q - 11. What is the remainder when g(z) is divided by 3?
2
Let l = -39 + 43. What is the remainder when 122/18 + 2/9 is divided by l?
3
Suppose 12 = -4*w, 7*r - 50 = 3*r + 2*w. What is the remainder when 32 is divided by r?
10
Suppose -5*s + 104 = -j + 4*j, -5*j = -2*s - 163. What is the remainder when 65 is divided by j?
32
What is the remainder when (1071/(-6))/7*(-4)/6 is divided by 4?
1
Let z(k) = k**3 + 6*k**2 + 3*k - 2. What is the remainder when 53 is divided by z(-5)?
5
Let k(h) = h**3 - 6*h**2 - 7*h - 1. Let t be k(7). Let m = 24 - t. What is the remainder when m is divided by -6*2*6/32*-4?
7
Suppose 0 = h - 2*j + 4 - 3, 3*j - 29 = -4*h. Suppose 0*t - 5*t = 0. Suppose 4*m - 11 - 45 = t. Calculate the remainder when m is divided by h.
4
Suppose c - 4 = -2*b, 5*c - 4 = c - 2*b. What is the remainder when c - -5 - (-6)/(-2) is divided by 1?
0
Let k be -7 + 0*(-2)/(-8). What is the remainder when -46*(k/(-2) - 4) is divided by 8?
7
Let j(c) = c**3 - 4*c**2 - 3*c + 5. Calculate the remainder when j(6) is divided by 20.
19
Let k = 36 - 17. Suppose 24 - 4 = 2*j. Let h = -3 + j. What is the remainder when k is divided by h?
5
Suppose 3*o - o = 28. What is the remainder when (4*(-9)/(-12) + 2)*11 is divided by o?
13
Suppose -2*g = 3*g - 20. Let o(l) = 3 + 4*l**2 - 2*l**2 - 1 - 3*l. What is the remainder when o(g) is divided by 12?
10
Suppose 3*p - 51 = -12. What is the remainder when 36 is divided by p?
10
Let g(x) = -2*x - 11. What is the remainder when 16 is divided by g(-10)?
7
Suppose 0 = 5*p + 5*o - 10, 3*o = 3*p + 2*p - 26. Suppose 0 = 2*w - p*t - 72, 3*w - 75 = w + 5*t. Calculate the remainder when w is divided by 16.
14
Let l be (-5)/(-10) + 2/4. Let d be (-4)/l*5/(-4). Suppose d*m + 8 = 53. What is the remainder when 17 is divided by m?
8
Let t(u) = -u**3 - u**2 - u + 2. Let n be t(0). Suppose -o + 2*o = -5*w, -7 = -o + n*w. Calculate the remainder when 13 is divided by o.
3
Let i = 26 - -3. Calculate the remainder when i is divided by 15*(-1)/(-1) - 0.
14
Suppose 8*f + 2*a = 3*f + 23, f - 3*a + 9 = 0. Calculate the remainder when f is divided by 4/(-10)*(1 + -6).
1
Let j = 178 - 164. What is the remainder when 180 is divided by j?
12
Let s be -2 + 2 - -91 - -2. Suppose s = 4*d - 47. What is the remainder when d is divided by 19?
16
Suppose -2*v = 3*v + a - 96, 4*a = -16. Calculate the remainder when 78 is divided by v.
18
Let s(j) = j**3 - 2*j**2 - 4*j. Let a = 7 + 54. What is the remainder when a is divided by s(4)?
13
Suppose -5 - 267 = -4*r. Let i = -37 + r. Calculate the remainder when i is divided by 16.
15
Let y(p) = p**3 - 13*p**2 + 7. What is the remainder when 12 is divided by y(13)?
5
Let i = 11 + -7. What is the remainder when (-7)/(42/4)*-6 + 7 is divided by i?
3
Suppose -2*u + 2 = 0, 0*o + 124 = 3*o - 5*u. What is the remainder when o is divided by 15?
13
Suppose 0 = -g - g + 16. Let r(u) = 2*u**2 + 3*u + 3. What is the remainder when r(-4) is divided by g?
7
Let v = 60 - 39. Suppose 5*q = 4*q + 40. Calculate the remainder when q is divided by v.
19
Suppose 33*h = 35*h - 18. Calculate the remainder when 41 is divided by h.
5
Let m = 41 - 21. Let t(n) = -n**2 + 16*n + 3. Calculate the remainder when t(11) is divided by m.
18
Let j(o) = 5*o**2 + 2*o + 6. Suppose 2*n + 5*t - 42 = 0, 43 = -5*n - 4*t + 131. Calculate the remainder when j(-3) is divided by n.
13
Let g be 309/6 - 2/4. Suppose g = 5*s - 49. Let f(a) = a - 3. What is the remainder when s is divided by f(10)?
6
Suppose 25*q = 30*q - 505. What is the remainder when q is divided by 34?
33
Let m(f) = f**3 + 1. Let z be m(-1). Suppose 2*x = 4*t - 0*x - 98, x + 5 = z. What is the remainder when t is divided by 8?
6
Let v = 21 + -5. What is the remainder when 61 is divided by v?
13
Let r = 11 + -7. Suppose 0 = 5*k - b - r*b - 10, 8 = -k + 3*b. Calculate the remainder when k is divided by 2.
1
Suppose 0 = -w - 1 + 3. Let a be (-1)/((-34)/(-18) - w). Let j = 5 + a. What is the remainder when 53 is divided by j?
11
Suppose -2*u - w + 39 = 0, -2*u + 64 = -w - 3*w. Calculate the remainder when u is divided by 6.
4
Let n(o) = o**2 + 6*o + 4. Let r be n(-6). Suppose -r = -q - 1. What is the remainder when 4 is divided by q?
1
Let z be (0/(-1))/(6/(-3)). What is the remainder when 25 is divided by 9 - 0 - z/(-3)?
7
Let a(b) = -16*b - 5. What is the remainder when a(-2) is divided by 5?
2
Let s = 7 - 4. Let p = s - 1. Suppose -20 = -p*m + m. What is the remainder when m is divided by 7?
6
Let f(w) = -18*w - 3. What is the remainder when 129 is divided by f(-2)?
30
Let o = -3 + 5. Let n(s) = -7 - 4*s**2 + 3*s**o + 11*s - s. Calculate the remainder when 50 is divided by n(6).
16
Suppose 3*c + 3*g - 366 = -0*g, -3*c + 2*g = -371. Calculate the remainder when c is divided by 31.
30
Let y = -94 - -135. Suppose -63 = -5*r + 7. Calculate the remainder when y is divided by r.
13
Let r be ((-3)/9 - 0)*-6. Suppose r*k - 18 = 8. What is the remainder when k is divided by 8?
5
Suppose -124 = -n - 35. What is the remainder when n is divided by 23?
20
Suppose -3*f - 3 = 0, -5*l + 2*f + 17 = -150. Suppose 3*q - l = 9. Calculate the remainder when 41 is divided by q.
13
Let m(n) be the second derivative of -n**3/2 + n**2/2 - 4*n. Let w(i) = -i**3 + 6*i**2 + 6. What is the remainder when w(5) is divided by m(-5)?
15
Let r = -124 - -229. Calculate the remainder when r is divided by 27.
24
Let y = 67 + -37. Calculate the remainder when y is divided by 8.
6
Suppose 0 = 4*c - j - 11 - 78, 0 = 2*c + 5*j - 39. What is the remainder when c is divided by 4/(14/(-21) + 1)?
10
Suppose 3*u = b - 16, 6*u - 2*u + 104 = 4*b. Suppose -5*y + 166 = b. Suppose -3*t + 28 = t. What is the remainder when y is divided by t?
6
Suppose -111 + 29 = -o. What is the remainder when o is divided by 17?
14
Let g = -4 - 0. What is the remainder when g/(-18) + 128/72 is divided by 2?
0
Let c(s) = -6*s - 1. Let h be c(4). Let p = h + 36. Calculate the remainder when p is divided by 7.
4
Suppose j = 3*a - 16 - 17, -5*j = -5*a + 55. Suppose -80 = -3*f - a. What is the remainder when f is divided by 6?
5
Let p(l) = l**3 + 7*l**2 - 3*l - 5. Calculate the remainder when 45 is divided by p(-7).
13
Let m(j) = 11*j**3 - 2*j - 1. Let k(d) = 2*d**3 - 1 + 1 + 3*d**3 - d. Let x(o) = 9*k(o) - 4*m(o). Calculate the remainder when 6 is divided by x(0).
2
Suppose -11*f + 140 = -4*f. What is the remainder when f is divided by 8?
4
Let h(c) = c**2 - 9*c + 2. Let o be h(10). Calculate the remainder when (o/(-30))/(1/(-55)) is divided by 12.
10
Let a(i) = 0*i**2 + 5*i + 2*i**2 + 16 - i**2 + 6*i. Calculate the remainder when -2 + (-48)/((-1)/1) is divided by a(-11).
14
Suppose -x + 16 - 1 = w, -4*w + 63 = x. What is the remainder when 63 is divided by w?
15
Let m(g) = 3*g - 2. Suppose 0*l + 2*l - 10 = 0. Calculate the remainder when m(l) is divided by 5.
3
Suppose s - 1 = -q + 2*s, s - 4 = 0. Suppose 0 = 4*f + 16, 41 + 29 = 5*k + q*f. Let j(l) = -l**2 + 8*l - 7. What is the remainder when k is divided by j(2)?
3
Let i be -2*1 + (-489)/(-3). Suppose b = 5*c - i - 141, 0 = 5*b - 15. Calculate the remainder when c is divided by 16.
13
Let x(v) = v**2 + 2*v. Let f(j) = j - 7 + 6*j**2 - j**3 + 5*j**3 + 2*j - 3*j**3. Calculate the remainder when f(-5) is divided by x(-3).
0
Let x(l) = l**2 + l + 26. Calculate the remainder when 101 is divided by x(0).
23
Let t(o) = 2*o**2 + 13*o + 14. Calculate the remainder when t(-6) is divided by 6.
2
Let n = 13 + -10. What is the remainder when 5 is divided by n?
2
Let a(h) = -h**2 - 3*h + 2. Le