
32
Suppose 4*t = 83 - 31. Suppose 5*i - 138 = -t. Calculate the remainder when 74 is divided by i.
24
Let d(i) = i**3 - 12*i**2 + i - 6. What is the remainder when 51 is divided by d(12)?
3
Let u be 624/14 + (-28)/49. Suppose 0*q - 5*n - 42 = -4*q, -5*q + u = -2*n. Calculate the remainder when 38 is divided by q.
6
Suppose -2*f + 10 = 3*f, 142 = 2*g + f. What is the remainder when g is divided by 18?
16
Let w = -2 - -15. Let f(t) = 20*t**2 - t + 1. Let u be f(1). Let b = u + -13. What is the remainder when w is divided by b?
6
Let k be 3/(-3) - 5*-1. Suppose k*t - 4 = 8. Calculate the remainder when 1*5*2*4/10 is divided by t.
1
Suppose 2*v = -0*v - 4, -4*z + 4*v + 144 = 0. Let u(g) = 2*g + 7. What is the remainder when (-2 - -3) + (z - 3) is divided by u(5)?
15
Let a = 0 - 0. Suppose -4*w - o = 14, -w = -3*o - a*o - 3. Calculate the remainder when ((-62)/w)/(4/6) is divided by 16.
15
Suppose 2*o - 78 = -4*v, 3*o - 3*v = -6*v + 120. Suppose o - 121 = -5*h. What is the remainder when h is divided by 10?
6
Calculate the remainder when 119 is divided by (31 + -1 - 1) + 1.
29
Suppose -4*j = 6 - 22, 2*y - 128 = 3*j. Calculate the remainder when y is divided by 24.
22
Let s be (-6)/(-4) + 7/14. Suppose -26 = 3*l - 4*j, 0 = -s*l - j - 0 + 1. Calculate the remainder when 26 is divided by (9/l)/((-4)/8).
8
Suppose 164 = -o + 5*o. What is the remainder when o is divided by 11?
8
Let b(f) = 21*f**2 + 2*f - 1. Suppose 46 = 4*i - 2. What is the remainder when b(1) is divided by i?
10
Let l = 0 + 2. Suppose -4 = -2*f - l. Let n = 9 - f. Calculate the remainder when 22 is divided by n.
6
Let p be (0 - 1)*(2 - 2). Suppose 2*k + x - 59 = p, -k + 0*x + 22 = 2*x. Calculate the remainder when k is divided by 13 + (-3 - -1 - 0).
10
Let o = -74 - -123. What is the remainder when o is divided by 13?
10
Let k = 1 - -6. Calculate the remainder when 25 is divided by k.
4
Let b(r) = -12*r + 13*r - 1 - 1. Let t be b(6). Suppose -2*l - 5 = -5*x, 2 = t*l + 2*x - 48. Calculate the remainder when 27 is divided by l.
7
Let d = -20 - -18. Calculate the remainder when (25/10)/(d/(-12)) is divided by 9.
6
Let l(d) = 20*d**3 - 2*d + 1. Calculate the remainder when 36 is divided by l(1).
17
What is the remainder when (-28)/(-2) + (-1 - 1) is divided by 8?
4
Suppose 3*j - 29 = -2*s + 14, 5*s + 5 = 0. What is the remainder when 44 is divided by j?
14
Suppose 3*h + 3*k = -0*k + 12, 4*h - 2*k = 10. Suppose h*b - u = -2*b - 7, b - u - 1 = 0. What is the remainder when (-3)/(18/111)*b is divided by 13?
11
Suppose -11*z + 9*z + 24 = 0. What is the remainder when 30 is divided by z?
6
Let t(z) = 2*z - 8. Let c(b) = b**2 + 8*b - 3. Let h be c(-9). Calculate the remainder when 6 is divided by t(h).
2
Suppose -3*c - 116 = -c. Let o = c - -99. Let k = -12 - -26. Calculate the remainder when o is divided by k.
13
Suppose 78 = s + 4*h, 0 = -s - 2*h + 7*h + 123. Calculate the remainder when s is divided by 33.
32
Suppose p - 7 = -v, v - 2*v - 1 = -p. Calculate the remainder when v is divided by 1.
0
Suppose -31 + 359 = -2*v. What is the remainder when 21/(-7) + v/(-2) is divided by 20?
19
Let c be 78/4 + 3/(-6). Let b = 16 + -5. Let q = c - b. What is the remainder when q is divided by 5?
3
Suppose 5*w + 0*w = 0. Suppose w = i - 0*i - 46. Calculate the remainder when i is divided by 12.
10
Let u(r) = -r**2 + 17*r + 7. What is the remainder when u(16) is divided by 6?
5
Let b be (-10)/25 + 114/10. Let g = -3 + b. Calculate the remainder when 15 is divided by g.
7
Suppose 0 = -2*p + 8, 0*g - 5*p = 3*g - 131. Suppose -3*v - 10 = -g. What is the remainder when v is divided by 5?
4
Suppose -2*p - 35 = -7*p. Suppose -p*r + 190 = -2*r. Calculate the remainder when r is divided by 13.
12
Let v be 3/(-12) + 92/(-16). Calculate the remainder when v/39 + (-340)/(-13) is divided by 7.
5
Let n(z) = 41*z - 28. What is the remainder when n(4) is divided by 35?
31
Suppose -2*s = -0*s. Suppose s*d - 155 = -5*d. Let w(r) = -r**2 - 6*r + 6. Calculate the remainder when d is divided by w(-5).
9
Let j(p) = -p**3 - 5*p**2 - 7*p - 5. Let y be j(-5). Suppose -u + 14 = -y. Let o = 46 + -31. What is the remainder when u is divided by o?
14
Let y be (36/15)/(3/10). Suppose -5*j = -3*r + y, 3*j - 4 = 2. What is the remainder when 17 is divided by r?
5
Suppose -5*h - 3*o + 105 = 0, -2*h - 3*o + 19 + 23 = 0. What is the remainder when h is divided by 12?
9
Suppose -2*z - 39 = -5*z. What is the remainder when 50 is divided by z?
11
Let d(j) = -6*j. Let r(q) = 5*q + 1. Let p(m) = 4*d(m) + 5*r(m). What is the remainder when (-58)/(-6)*6/2 is divided by p(5)?
9
Let h be (6/4)/(5/(-10)). Let u = 8 + h. What is the remainder when 14 is divided by u?
4
Let x(v) = 2*v - 11. Let p be x(8). Suppose -j - 24 + 0 = -p*y, 5*y + 3*j - 28 = 0. What is the remainder when 24 is divided by y?
4
Let w(m) = 6*m + 4. Let a be w(2). Let o = a - -2. Let l = 13 - -22. Calculate the remainder when l is divided by o.
17
What is the remainder when 4 - -33*2 - 2 is divided by 18?
14
Let o be (-3 - (-20)/6)*111. Let q = o - 15. What is the remainder when q is divided by 6?
4
What is the remainder when (19 + -3)/(-4)*(-85)/4 is divided by 30?
25
Suppose -69 = -4*l + 99. Let u = 3 - -19. Calculate the remainder when l is divided by u.
20
Let w = 16 - -12. Let j = 22 - 15. Suppose -j*t + 60 = -3*t. What is the remainder when w is divided by t?
13
Calculate the remainder when 68 is divided by 7/(-2)*(-360)/70.
14
Suppose 2*v - 70 = 30. Calculate the remainder when v is divided by 17.
16
Suppose 0 = 5*f + 21 + 4, -5*u + 105 = f. Suppose 2*c + 3*m = 61, 5*c - u - 122 = m. What is the remainder when c is divided by 10?
9
Let y(w) = w**2 - 9*w + 3. What is the remainder when 115 is divided by y(10)?
11
Let o(b) = 4*b**2 + 2*b - 3. Let w(k) = -3*k**2 - 2*k - 1. Let l be w(-2). Let c = 6 + l. Calculate the remainder when o(c) is divided by 15.
12
Let w(i) = i + 21. Calculate the remainder when 45 is divided by w(-5).
13
Let p(w) = 3*w + 9. What is the remainder when 69 is divided by p(5)?
21
Suppose 6*a = 2*a + 324. What is the remainder when a is divided by 21?
18
Suppose -12 = -3*k, 3*k = 5*z + k - 37. What is the remainder when z is divided by (-3 - (1 - 5)) + (5 - -1)?
2
Let x(a) = -a**3 + 10*a**2 - 4*a + 7. Calculate the remainder when x(9) is divided by 9.
7
Calculate the remainder when 20 + -4 + 0 - 2 is divided by 5.
4
Suppose -5*l = -g + 3, -4*g - 5*l + 2*l = -35. What is the remainder when 14 is divided by g?
6
Let j = -34 - -59. Let l = j - 15. Calculate the remainder when l is divided by 6.
4
Let a = -49 + 91. Suppose 2*k - 4*k = -a. What is the remainder when 82 is divided by k?
19
Suppose -52 - 372 = -8*i. What is the remainder when i is divided by 2/5 - 68/(-5)?
11
Suppose 5*h - 4*h = 0. Suppose -5 = t - h*t, -140 = -5*c + t. Let k = 18 - 4. Calculate the remainder when c is divided by k.
13
Suppose -h + 11 = -3*v, h + 2*v - 11 = 10. Calculate the remainder when h is divided by 4.
1
Suppose -2*s - 34 = -4. Let w(j) = -j**2 - 4*j + 2. Let d be w(-4). What is the remainder when (s/d - -2)*-2 is divided by 6?
5
Suppose -6 = 2*a - 2, 4*p + 5*a + 1390 = 0. Let g = 234 + p. Calculate the remainder when 2 + -2 - g/3 is divided by 13.
11
Let a = -12 - -19. Suppose -i - 2 = -b, -5*b + 18 + a = 0. Calculate the remainder when 9 is divided by i.
0
Let r = 26 + -16. Calculate the remainder when 17 is divided by r.
7
Let r be (-4)/6 - (-28)/6. Let j be 0 - (-2 + r) - -3. Let g = j + 3. Calculate the remainder when g is divided by 3.
1
Suppose 4*q = 2*q + 48. What is the remainder when q is divided by 5?
4
Let h(u) = -u + 1. Calculate the remainder when h(-16) is divided by (-1)/4 - 25/(-4).
5
Let q(i) = -i**2 + 16*i - 14. Let u(r) = -r**3 + 6*r**2 - 2*r - 1. Let n be u(5). What is the remainder when 39 is divided by q(n)?
11
Let g(x) be the second derivative of -x**5/20 - x**4/3 + 5*x**3/6 + x**2 + 2*x. Let z be g(-5). Calculate the remainder when 10 is divided by (-3*z)/(-2 + 1).
4
Let z = 26 + -22. Suppose 3*c - 29 = 9*h - 4*h, -z*c = h - 31. Calculate the remainder when 12 is divided by c.
4
Suppose 36 = 13*p - 16. Calculate the remainder when p is divided by 3.
1
Suppose -2*k - 2*j + 35 = -81, 0 = -3*k + 4*j + 139. Calculate the remainder when k is div