Suppose -y = -t + 1. What is the remainder when 23 is divided by t?
11
Suppose -4*i + 7 = -21. What is the remainder when (26/(-8))/(2/(-16)) is divided by i?
5
Suppose -4*j - 110 = 2*s, -3*s - 44 + 9 = j. Let y = j + 40. Suppose 0 = -t + 27 + 26. Calculate the remainder when t is divided by y.
11
Let l = -58 + 81. Calculate the remainder when l is divided by 7.
2
Suppose -s - 4*z + 2 = -2, 2*z = 3*s - 26. Calculate the remainder when (-721)/(-49) + (-6)/(-21) is divided by s.
7
Let g(p) = -p - 10. Let o be g(-8). Calculate the remainder when 2/((-63)/(-30) + o) is divided by 57/5 - 8/20.
9
Suppose 21 = -x + 26. Calculate the remainder when 11 is divided by x.
1
Let y be 0*(-1)/(-2)*1. Suppose -g = -5*k + 3, y*k = -5*g + 5*k + 5. What is the remainder when g is divided by 1/5 + (-4)/(-5)?
0
Let n(p) = p**2 - 5*p - 1. Let x be n(6). Let w = x + 11. What is the remainder when 29 is divided by w?
13
Let g(p) = p**3 - 11*p**2 - 22*p - 4. Calculate the remainder when g(13) is divided by 24.
0
Let u = 68 + -25. Let i = 87 - u. What is the remainder when i is divided by 15?
14
Suppose -6 = -2*m - 0. Suppose -18 = -m*q + 3*y, -3*y = -2*y + 3. What is the remainder when 8 is divided by q?
2
Let i(t) = -250*t**2 + 2*t + 1. Let s be i(-1). Let j = 89 + s. Let o = -95 - j. Calculate the remainder when o is divided by 23.
21
Suppose 0*k = 4*v + k - 138, -v + 40 = 3*k. Calculate the remainder when 64 is divided by v.
30
Let q = 0 - -2. What is the remainder when (-14 - q)*-1 + -1 is divided by ((-6)/5)/(8/(320/(-8)))?
3
Let c(t) = t**3 + 3*t**2 - 2*t - 1. Let g be c(-3). Suppose 0*f = g*f - 130. What is the remainder when f is divided by 9?
8
What is the remainder when (-29)/(-4) - 3/12 is divided by (-3 + 0 - -4)*5?
2
Suppose 8 = 2*q - 4*z, -3*z - 7 = 2*q - 1. Suppose q = 3*l - 8 - 76. Let p(w) = 11*w**2 - 1. What is the remainder when l is divided by p(1)?
8
Suppose 65 = -0*z + 5*z. Calculate the remainder when 37 is divided by z.
11
Let k = 6 + -3. Suppose -k*l = 3*t + 18, -4*t + 2*l - 5*l = 19. Calculate the remainder when 1 + (t - 1) - -50 is divided by 17.
15
Let c(t) = t**3 + 6*t**2 + 6*t + 6. Let y be c(-5). What is the remainder when (y/(-3))/(2/(-42)) is divided by (2/(-4))/((-1)/8)?
3
Suppose 5*r = -4*t + 17, 0 = -5*r + 5*t + 18 + 17. Let q be (2 + 7/(-4))*4. Calculate the remainder when q/(-1 - (-27)/24) is divided by r.
3
Let h = -125 + 132. Calculate the remainder when 32 is divided by h.
4
Let m be 26/(-10) - 10/25. Let j be ((-12)/m - 3)*5. Suppose -2*f + d = -88, 4*f + 0*f - j*d = 164. Calculate the remainder when f is divided by 16.
14
Let t = -2 - -14. Suppose 27 - 90 = -3*y. Calculate the remainder when y is divided by t.
9
Let b(x) = 5*x**2 + 2. What is the remainder when b(3) is divided by 16?
15
Let y(k) = k**2 - 7*k - 44. Calculate the remainder when 130 is divided by y(13).
28
Let o(q) = -q**3 + q**2 - q + 14. Let l be o(0). Suppose 11 + l = 5*k. Suppose k*p + 0*p = 55. What is the remainder when 41 is divided by p?
8
Suppose -5*a + 4 = -6. Let g = -17 - -23. Calculate the remainder when 2 is divided by 7/a - 9/g.
0
Let b(f) = -15*f - 3. Let n(s) = s**2 + 5*s - 6. Let u be n(-5). Let m be b(u). Suppose -113 = -4*w + m. What is the remainder when w is divided by 13?
11
Let x(d) = d**3 + 9*d**2 - 12*d - 15. What is the remainder when 13 is divided by x(-10)?
3
Let l(k) = k**3 + 3*k**2 - 2*k + 3. What is the remainder when l(-3) is divided by 5?
4
Suppose -s = -4*o + 4, -s - 4*s = -4*o - 28. Let j(t) = t + 10. Calculate the remainder when j(s) is divided by 30/4*(-4)/(-6).
3
Suppose 5*u - 134 = -29. Calculate the remainder when 40 is divided by u.
19
Calculate the remainder when 34 is divided by 47/5 - (-2)/(-5).
7
Let r(u) = -u**2 + 7*u - 4. Let g be r(4). Calculate the remainder when (-6)/g*-4 - -63 is divided by 17.
15
Let a(h) = 6*h**3 + 2*h - 1. Let n be a(2). Let p = n + -30. Suppose 2*x - p - 25 = 0. What is the remainder when 68 is divided by x?
22
Let x(b) be the third derivative of -b**4/24 + 25*b**3/6 - 2*b**2. Let v(t) = -t**3 - 8*t**2 - 10*t - 8. Calculate the remainder when x(0) is divided by v(-7).
12
Suppose -41 = -4*q + 27. Suppose 5*n = -4*p + 6*p - 18, 4*n - 2*p + 14 = 0. What is the remainder when (-52)/(-1) + 12/n is divided by q?
15
Suppose -q - 4*q = -220. What is the remainder when 261 is divided by q?
41
Suppose -33*g = -28*g - 305. What is the remainder when g is divided by 7?
5
Let d(u) = u. Let a be d(4). Let p = a + -4. What is the remainder when 20 is divided by 11 + 3/(-6)*p?
9
What is the remainder when ((-220)/(-15))/(2/(8 + -2)) is divided by 18?
8
Let l(m) = -2*m + 2*m + 4*m - 3*m - 2. What is the remainder when 7 is divided by l(6)?
3
Let f be ((-2)/6)/((-4)/(-132)). Let u(d) = -d**2 - 13*d - 7. Calculate the remainder when 59 is divided by u(f).
14
Calculate the remainder when (-5)/(15/(-12)) - -17 is divided by 11.
10
Suppose 68 = 5*f + 3*t, 38 = 3*f - 0*t - t. Calculate the remainder when 38 is divided by f.
12
Suppose 0*m = -m + 1, -4*f = -5*m - 171. What is the remainder when f is divided by 23?
21
Suppose -5*w - 4*w + 126 = 0. What is the remainder when 42 is divided by w?
0
Let t = -2 - -11. Calculate the remainder when (-4)/12 - (-660)/t is divided by 25.
23
Let r = 565 - 357. Let u = r + -109. Suppose 0*h = 3*h - u. What is the remainder when h is divided by 17?
16
Suppose -5*r = 5 + 10. Let y = -3 - r. Let l(m) = m**3 + m**2 - m + 2. Calculate the remainder when l(y) is divided by 2.
0
Let x = 22 - -11. Calculate the remainder when 131 is divided by x.
32
Let b(z) = 7*z + 10. What is the remainder when b(6) is divided by 15?
7
Let d = 5 - 3. Suppose -d*s = 4*n - 36, 6*s - s = -3*n + 62. Calculate the remainder when 28 is divided by s.
8
Let c(r) = r**2 - 6*r - 11. What is the remainder when c(-7) is divided by 21?
17
Suppose 25 = 4*v - 3. Suppose -v*m = -10*m + 27. What is the remainder when m is divided by 5?
4
Calculate the remainder when 5 is divided by ((-5)/10)/((-4)/32).
1
Suppose 33 + 67 = 4*w. Suppose -3*c = -0*c - 27. Calculate the remainder when w is divided by c.
7
Suppose -11*k = -6*k - 55. What is the remainder when 29 is divided by k?
7
Suppose -7*k = -11*k + 384. What is the remainder when k is divided by 20?
16
What is the remainder when 74 is divided by 24/4*3 + 2?
14
Suppose -o - 12 + 39 = u, -3*o - 95 = -5*u. Suppose 2*s - 24 = -0*s. Calculate the remainder when u is divided by s.
10
Suppose 378 = p + 2*p - 4*q, q = -3*p + 393. What is the remainder when p is divided by 33?
31
Suppose -4*g + g = -5*j - 62, -3*g - j = -74. Calculate the remainder when g is divided by 13.
11
Let o = -2 - -8. Calculate the remainder when (2 - 0)*255/o is divided by 29.
27
Let s(u) = 4*u - 7. What is the remainder when 23 is divided by s(5)?
10
Let k = -5 - -4. Suppose 0 = j + f - 1 - 11, -j - 5*f = -8. What is the remainder when j is divided by 1*3 + (k - -5)?
6
Let l(f) = -2*f**2 + 2. Let j be l(-3). Let i = j - -40. Calculate the remainder when i is divided by 13.
11
Let n be 8/(8/2 + -2). Suppose 0 = n*m - 33 - 55. Suppose 3*j = -0*j + 24. Calculate the remainder when m is divided by j.
6
Let o = -3 - -2. Let x = -1 + 6. What is the remainder when 99/6 - o/2 is divided by x?
2
Let c = 8 + 12. Suppose -5*d = -3*y - 43, 20 = d + 4*y - 7. Calculate the remainder when c is divided by d.
9
Let l = 65 - 31. What is the remainder when 99 is divided by l?
31
Let b(f) = -f + 4. What is the remainder when 10 is divided by b(2)?
0
Suppose 3*g - 2*g - 6 = 0. Let y = 10 - 3. Calculate the remainder when (3/(g/(-52)))/(-2) is divided by y.
6
Let p be 166/18 - 6/27. Suppose 3*n - p*n = -612. What is the remainder when n is divided by 21?
18
Suppose 4*o + 5*z = 45, 4*o + 2 - 12 = 2*z. Suppose -2*g - 35 = -o*v, 3*g = -g. What is the remainder when v is divided by 3?
1
Let y = -100 - -226. Let w = y - 82. Calculate the remainder when w is divided by 23.
21
Suppose 0 = g - 0*g - 27. Calculate the remainder when g is divided by 14.
13
Let p = 64 - 42. Let d = -139 - -151. What is the remainder when p is divided by d?
10
Suppose 2*w = -3*w + 10. Let c(d) = -d**2 - 9*d. What is the remainder when 51/w - (-3)/6 is divided by c(-7)?
12
Calculate the remainder when 21/(28/(-8) + 4) is divided by 11.
9
Let x 