 is divided by 10.
8
Let y(i) = -i**2 + 7*i + 10. Let u be y(8). Suppose 0*t + 14 = u*t. Calculate the remainder when t is divided by 4.
3
Suppose 3*w - 5*i - 77 = -w, 2*w - 2*i - 36 = 0. Calculate the remainder when w is divided by 5.
3
Let c = -11 + 29. Let y = 9 + 1. What is the remainder when c is divided by y?
8
Suppose -5*c = -2*v + 37 - 112, 0 = -c - 4*v + 15. Suppose -3*g + 4*g - 43 = 0. What is the remainder when g is divided by c?
13
Let d = -4 - -9. Suppose 1 + 13 = 2*h. Calculate the remainder when h is divided by d.
2
Let h = -2 - -11. Suppose -h - 6 = -5*u. Suppose u*z = -2*z + 40. What is the remainder when 23 is divided by z?
7
What is the remainder when 41 is divided by (-3)/3*-1*63/7?
5
Suppose 0 = 3*z - 2*z - 4. Suppose 25 = z*g + j, 3*j = 2 + 1. Let x = g - 3. What is the remainder when 5 is divided by x?
2
Let o be ((-10)/(-4))/((-3)/6). Let c(l) = -l**3 - 5*l**2 - 6*l - 5. Suppose -39 = -r - 2*r. Calculate the remainder when c(o) is divided by r.
12
Let q = 23 - 2. Let b = -46 + 183. Let r = -97 + b. What is the remainder when r is divided by q?
19
Suppose -4*w - 2*t + t + 508 = 0, -t + 380 = 3*w. Suppose w = 2*h + 34. Calculate the remainder when h is divided by 25.
22
What is the remainder when 148 is divided by 4/(-14) - (-2 - (-93)/(-7))?
13
Let o(p) = 2*p**2 - 7*p. Let j(x) = x**2 + 5*x - 1. Let t be j(-5). Let y(m) = -8*m**3 + m + 1. What is the remainder when o(5) is divided by y(t)?
7
Suppose c + 67 = 2*t, -3*t + 96 = -4*c + c. Suppose -4*n + 31 + 5 = 0. What is the remainder when t is divided by (-1)/3 - (-165)/n?
17
Let n(a) = 8*a - 1. Calculate the remainder when 2*1*99/18 is divided by n(1).
4
Let v(s) = -s**2 - 10*s + 6. Let p be v(-6). What is the remainder when p/4 + (-3)/6 is divided by 5?
2
Suppose 0 = -j + 4*j - 15. Suppose 0 = -4*h - j*g + g - 268, 0 = -g + 2. Let a = -49 - h. Calculate the remainder when a is divided by 11.
9
Let x = -16 - -25. Suppose 88*a + 112 = 95*a. Calculate the remainder when a is divided by x.
7
Suppose -2*r = -5*r. Suppose r*t + 37 = t. What is the remainder when t is divided by 6/15 - (-144)/15?
7
Let v(h) = h**2 + 6*h + 9. Calculate the remainder when 34 is divided by v(-6).
7
Let r = 26 - 12. Let n = -54 + 108. Calculate the remainder when n is divided by r.
12
Suppose -o = -5*w - 24, -5*o + 2*w + 0*w + 28 = 0. Let h = -1 + o. Suppose r + h*r = 136. Calculate the remainder when r is divided by 18.
16
Let s(t) = -3*t - 5 + 0*t - 2*t. Calculate the remainder when 37 is divided by s(-3).
7
Let t(r) = r**3 + r**2 + 36. Calculate the remainder when 143 is divided by t(0).
35
Suppose -v = 3*c - 86, c = -v + 11 + 15. Calculate the remainder when 88 is divided by c.
28
Suppose -2*s + 12 = s. Calculate the remainder when 15/((-1)/1)*-1 is divided by s.
3
Suppose 4*s = -5 - 3. What is the remainder when s/(114/39 - 3) is divided by 14?
12
Calculate the remainder when 8 is divided by (18/(-9))/((-2)/3).
2
Let m = 34 + -28. What is the remainder when 13 is divided by m?
1
Let b = -10 + 3. Let o = b - -4. Let y(r) = 3*r**2 + 3*r + 1. What is the remainder when 55 is divided by y(o)?
17
Let w = -50 - -68. What is the remainder when 53 is divided by w?
17
Let w = -12 - -22. Suppose -2*b - 3*b + w = 0. What is the remainder when b is divided by 1?
0
Suppose -3*t = -99 + 30. What is the remainder when 64 is divided by t?
18
Let v(w) = -7*w. Let o(n) = n + 1. Let a(y) = 3*o(y) + v(y). Let g be a(-3). Suppose 0 = 2*j - g + 1. What is the remainder when j is divided by 4?
3
Suppose l + 62 = 3*l. Suppose 0 = 2*t + 11 - l. What is the remainder when 29 is divided by t?
9
Let i(a) = -23*a + 4. What is the remainder when i(-2) is divided by 18?
14
What is the remainder when (200/56 - 3) + (-304)/(-7) is divided by 16?
12
Let o = 83 - 63. What is the remainder when 57 is divided by o?
17
Let c(x) = 14*x**2 - 5*x + 4. Let k be c(3). Let v = 233 - k. Suppose -5*s + 3*f = -287, f = 2*s - f - v. What is the remainder when s is divided by 19?
17
Let w be ((-4)/6)/(2/3). Let i(h) = -8*h**3 + h**2. Calculate the remainder when 16 is divided by i(w).
7
Let g(a) = -4*a**2 + 5*a - 2. Let c be g(3). Let x = 33 + c. What is the remainder when 28 is divided by x?
8
Let w(m) = 6*m - 66. Calculate the remainder when 33 is divided by w(13).
9
Suppose -n - 4*n + 150 = 0. Suppose -t + 2*t - o = n, 123 = 5*t + 4*o. What is the remainder when t is divided by 15?
12
Let z be 2*177/6 + -2. Let x = z - 17. Suppose -2*v = 3*v - x. Calculate the remainder when 15 is divided by v.
7
Suppose -3*n + 80 + 70 = 0. What is the remainder when n is divided by 21?
8
Calculate the remainder when 27 is divided by (-4)/(1 + 36/(-28)).
13
Suppose 387 = 4*v + 5*v. What is the remainder when v is divided by (-146)/(-10) + 4/10?
13
Suppose -u - 6 = -2*u. Suppose h = -0*h + 4. What is the remainder when (-50)/h*(-20)/25 is divided by u?
4
Suppose -4*z - 44 = -5*m, -5*z + z - 36 = -4*m. Let t(c) = 3*c + 1. Calculate the remainder when t(7) is divided by m.
6
Let j = 9 + -11. Let b(z) = -2*z**3 - 2*z**2 - z + 4. Calculate the remainder when b(j) is divided by 8.
6
Let k = 0 - -3. Suppose 0*j = -2*j, -4*o + 24 = k*j. Calculate the remainder when 16 is divided by o.
4
Suppose -7*l = -0*l - 938. What is the remainder when l is divided by 45?
44
Suppose 57*h - 188 = 53*h. Let k(q) = 3*q**2 + 4 - q**2 - 2 - q. What is the remainder when h is divided by k(-2)?
11
Suppose -3*s + 8 = -52. Let j be (-3)/(-2)*(-16)/(-6). What is the remainder when s is divided by ((-11)/j)/((-1)/4)?
9
Suppose 11*n - 233 + 46 = 0. Calculate the remainder when 49 is divided by n.
15
Let t be 36/10*(-20)/(-8). Let y(z) = -z + 18. Calculate the remainder when 33 is divided by y(t).
6
Suppose -3*x + 6 = -3. Suppose x*r + 15 = 57. What is the remainder when 53 is divided by r?
11
Let y be 3/12 + 3/(-12). Let l(n) = -n**2 - n + 11. Suppose 3*p - p - 64 = 0. What is the remainder when p is divided by l(y)?
10
Let v(f) = f - 2. What is the remainder when 13 is divided by v(6)?
1
Suppose i + 10 = -4*i, -2*d = 5*i - 8. Calculate the remainder when 14 is divided by d.
5
What is the remainder when 44 is divided by (-6 - (-110)/25)/(1/(-10))?
12
Let g(s) = s**3 - 5*s**2 - 6*s + 4. Calculate the remainder when 8 is divided by g(6).
0
Suppose 16 = -t + 3*t. Let w be (12/t)/((-3)/(-6)). Suppose 18 = w*o - 0*o. What is the remainder when o is divided by 3?
0
Suppose i - 2 = 1. Suppose -i*v = -4*t - 1, -4*t + 5*v = t + 5. Suppose -t*r = -5*z + 139, z - 13 = 5*r + 1. Calculate the remainder when z is divided by 10.
9
Suppose 44 = 3*w + 14. Suppose 2 = 5*a + 2*n, 5*a - 4*n + 10 = -9*n. Suppose -a*t + 29 = h, t - 13 = -h + 16. Calculate the remainder when h is divided by w.
9
Calculate the remainder when (-10)/(188/(-60) - -3) is divided by 19.
18
Let x = 8 - 1. Suppose -5*u + 4*u = -x. Calculate the remainder when 25 is divided by u.
4
Let a(l) = -2*l**2 + 11*l + 3. Let h be a(8). Suppose -j - 2 = 0, -2*x - x + 3*j - 72 = 0. Let b = x - h. What is the remainder when b is divided by 4?
3
Let b(q) be the first derivative of -q**2/2 - 3*q - 2. Calculate the remainder when 7 is divided by b(-6).
1
Suppose 0*s - 2*q = 2*s - 240, 240 = 2*s + 5*q. Suppose -3*t + s = 3*d, -d + 2*t + 34 = 9. Calculate the remainder when d is divided by 12.
11
Suppose x = 4*v + 29, -5*x - 4*v + 95 = v. Let i = -5 + 8. Suppose 0 = i*r - 9 - x. What is the remainder when 18 is divided by r?
8
Let r(x) = x**2 + 4*x - 2. Let n be r(-7). Let t be ((-6)/7)/(3/(-21)). Let q = n - t. Calculate the remainder when 24 is divided by q.
11
Suppose 5*n - 230 = -2*f + 363, 2*n + 5*f - 254 = 0. Calculate the remainder when n is divided by 17.
15
Let o = -56 - -92. What is the remainder when 107 is divided by o?
35
Suppose -24*u + 114 = -22*u. What is the remainder when u is divided by 12?
9
Let y = 39 - 27. What is the remainder when 81 is divided by y?
9
Let i(n) = 31*n**3 + 2*n**2 - 2*n. Let c(j) = 10*j + 2. Let u be c(2). Suppose 0*t + u = 2*t. Calculate the remainder when i(1) is divided by t.
9
Let r(s) = -30*s. Let x be r(-1). Let m = 44 - x. Suppose 0 = n - 30 + 4. What is the remainder when n is divided by m?
12
Let l = -1 - 2. Let q = -20 + 30. Calculate the remainder when 3*10 - (l - -5) is divided by q.
8
Let u = 2