ose -7*v = -2*v. Let s = q + v. Calculate the remainder when 21 is divided by s.
10
What is the remainder when 80 - (0 + (5 - 1)) is divided by 13?
11
Let y = 144 - 52. Suppose 2*n - y = -2*n. Let c = 9 + 3. What is the remainder when n is divided by c?
11
Let t(p) = -p + 8. Let d be t(6). Suppose -d*n = -c - 2*c + 34, 4*c + 4*n = 52. What is the remainder when 19 is divided by (c/(-15))/((-4)/50)?
9
Suppose -d - 15 = -6*d. Suppose 4*y = -s - 1, -2*y - d = 3. What is the remainder when 20 is divided by s?
9
Let u(n) = n**3 + 12*n**2 - 3*n - 22. What is the remainder when 26 is divided by u(-12)?
12
Let x be (-3)/(-2) - (-3)/6. Suppose -3*v = 2*v + x*h - 37, -4 = h. What is the remainder when v is divided by 4?
1
Let n be 30/(-2)*(-24)/15. Let l = n - 20. What is the remainder when 6 is divided by l?
2
Suppose -5*j - 3*z - 127 = -752, -5*j = -5*z - 585. What is the remainder when j is divided by 31?
29
Suppose -3*o + 1 - 10 = 0. What is the remainder when 37 is divided by ((-7)/4 - o)*16?
17
Let n = -19 - -50. Let a = -8 + 13. Suppose -5*p - 33 = -a*d + 17, -4*p = -5*d + 51. Calculate the remainder when n is divided by d.
9
Let o = 137 + -85. What is the remainder when o is divided by 18?
16
Let h be -89 - (0 + 2 - 4). Let c = h + 262. Suppose 2*o = -3*o + c. Calculate the remainder when o is divided by 9.
8
Suppose 0 = 2*s - 2, 3*f - f - 4*s - 60 = 0. What is the remainder when f is divided by 9?
5
Suppose -2*n = d + 6, -3*d - 4*n = -0 + 10. Calculate the remainder when 4 is divided by d.
0
What is the remainder when 41 is divided by (-111)/(-5) + (-6)/30?
19
Let d be 2 - (0 - (-1 - -2)). Let s = d + 25. Suppose -2*w + 11 = -t - 17, -2*w = -3*t - 24. Calculate the remainder when s is divided by w.
13
Let h be 2/(-6)*-2*-27. Let r = 29 + h. What is the remainder when 43 is divided by r?
10
Let d be (4/(-2))/(-2) + 33. Suppose -2*l = -d - 10. Calculate the remainder when l is divided by 12.
10
Suppose -5*z = -2*w - 20 + 5, 6 = 4*w + 2*z. Let a = 238 + -153. Suppose 3*m - 8*m + a = w. What is the remainder when m is divided by 5?
2
Let f = 89 - 77. Calculate the remainder when 0 - (-1 + -45*1) is divided by f.
10
What is the remainder when 5/2*((-128)/10)/(-2) is divided by 10?
6
Suppose -20*k = -24*k + 56. Calculate the remainder when 27 is divided by k.
13
Let h(p) = 9*p + 9. Let t be h(7). Suppose t = -0*y + 4*y. Let q(k) = 7*k - 3. What is the remainder when q(8) is divided by y?
17
Suppose 0 = 3*v - 32 - 106. What is the remainder when v is divided by 25?
21
Suppose 0 = -2*i + 41 - 5. Let m(t) = 5*t**3 + 4*t**2 - 3*t. Let v be m(3). Let y = 231 - v. Calculate the remainder when y is divided by i.
15
Suppose 0 = -4*q + 3*q + 83. What is the remainder when q is divided by 17?
15
Let u = -62 - -104. Suppose -2*m + 8*m - u = 0. What is the remainder when 13 + 1*(-1)/1 is divided by m?
5
Suppose a = 2 + 1, -j = -5*a - 44. Suppose 22 - 112 = -6*d. What is the remainder when j is divided by d?
14
Let a(r) = r**3 - 2*r**2 - r + 3. Let t(i) = -i**3 - 17*i**2 + 18*i + 26. What is the remainder when t(-18) is divided by a(3)?
8
Let n(a) = a**2 - 15*a + 7. What is the remainder when n(15) is divided by 3?
1
What is the remainder when (-5)/(-25) + (-68)/(-10) is divided by 2?
1
Let g be 2 - (-5)/((-10)/(-4)). Suppose -4 = -4*o + g. Calculate the remainder when 2 is divided by o.
0
Calculate the remainder when -2 - -2 - (3 + -61) is divided by 30.
28
Calculate the remainder when (6/4)/(6/248) is divided by 16.
14
Let a = 13 + 0. Let o be 4/(-6) + 2/3. Suppose -4*g + g + 72 = o. Calculate the remainder when g is divided by a.
11
Suppose -4*v + 60 = -4*a, 5*a - 3*v + 59 = -2*v. Let o = 2 - a. What is the remainder when o is divided by 8?
5
Let u(g) = -3*g**2 + 2*g + 2. Let y be u(2). Let o(r) = -3*r - 2. What is the remainder when 63 is divided by o(y)?
15
Suppose 0 = -2*c + s - 1, 4*c - c - 11 = -s. What is the remainder when 9 is divided by c?
1
Let k(i) = -i**3 - 7*i**2 - 2*i - 10. Let g be k(-7). Suppose -2*j + 3*y = -5, 2*y - 25 = -g*j + 3*y. Calculate the remainder when 27 is divided by j.
6
Let k(g) = -g**2 - 13*g + 5. Let s = 4 + -15. Suppose 2*m = 5*b + 10, 4*m + 0*b = -3*b + 72. Calculate the remainder when k(s) is divided by m.
12
Let r be -3 - 0 - 3/(-1). Suppose -5*n + 7 + 3 = r. What is the remainder when 56 is divided by 60/3 + (n - 3)?
18
Suppose -3*q + 48 = -0*q. Let r(n) = -n**2 + 9*n + 13. Calculate the remainder when r(6) is divided by q.
15
Suppose 4 = -2*a - 3*d, 2*d - 4 = -3*a - 0. What is the remainder when 15 is divided by a?
3
Calculate the remainder when 63 is divided by 1/(4 + 126/(-32)).
15
Let h(r) = r**3 + 5*r**2 - r - 3. Let p be h(-4). Let s = -5 + p. Calculate the remainder when 23 is divided by s.
11
Let j(i) = i**2 + 3*i - 2. Let l be j(-4). Suppose l*r + 45 = 7*r. What is the remainder when 53 is divided by r?
8
Let n(w) = -w**3 + 2. Let c be n(0). Suppose -3*f + 11 - c = 0. Let j = 0 + f. Calculate the remainder when 7 is divided by j.
1
Let u be 152/16 + 6/(-4). Calculate the remainder when (1 - -21)/(u/24) is divided by 17.
15
Suppose -4*r + 0*a - 39 = a, -30 = 4*r - 2*a. Let u = r + 2. Let k(c) = c**3 + 6*c**2 - 10*c - 5. Calculate the remainder when k(u) is divided by 9.
7
Suppose 4*t + d - 24 = 0, -2*t - 2*t = -5*d. Suppose -3*s - 9 - 6 = -5*l, 5*l + t*s = 15. What is the remainder when 5 is divided by l?
2
Let k(f) = -f**3 + 4*f**2 + 4*f + 4. Let v be k(5). Let l = 4 - v. Calculate the remainder when 14 is divided by l.
4
Suppose -3*f = 3*t + 60, 4*t + 34 = -0*f - 2*f. Let x = 38 - f. Calculate the remainder when x is divided by 32.
29
Suppose 3*r = 13 + 8. What is the remainder when r is divided by 5?
2
Let a = -127 - -206. Calculate the remainder when a is divided by 27.
25
Let v(f) be the second derivative of f**5/5 - f**4/12 + f**3/6 - f**2/2 + 3*f. What is the remainder when 8 is divided by v(1)?
2
Suppose -5*j + 27 = 4*z - 13, 4*j - z - 11 = 0. What is the remainder when 26 is divided by j/(-8)*36/(-2)?
8
Let r = 81 - 75. What is the remainder when r is divided by (-2)/(-6) + 10/6?
0
Let u = 30 + -7. Calculate the remainder when u is divided by 8.
7
Suppose 11*o - 1 - 285 = 0. What is the remainder when 98 is divided by o?
20
Suppose -d = -2*d. Suppose -20 = -k - d. Calculate the remainder when k is divided by 11.
9
Let l be (-2)/(-12) - (-2)/(-12). Suppose -4*x + 11 + 5 = l. Calculate the remainder when 10 is divided by x.
2
Let t = -6 + 36. Let o = t - -22. Let p = 102 - o. What is the remainder when p is divided by 13?
11
Suppose 0 = -5*c + 17 + 58. Suppose -4*m - 23 - 73 = 0. What is the remainder when (-743)/(-13) + m/156 is divided by c?
12
Let q be 1/4 - 11/(-4). Suppose 3*h - q = 3. Suppose i + 32 = 4*m, -3*m + 5*i = h*m - 55. Calculate the remainder when 13 is divided by m.
6
Suppose -5*r + 2*y = -y - 75, 3*y = -2*r + 30. Let n be (-4)/3*(-3)/(-2). What is the remainder when ((-160)/(-4) - n) + 1 is divided by r?
13
Suppose 2*f = -2*c - c - 5, -2*c + 6 = -f. Let t = -1 + c. Suppose -w + 1 = t, 2 = -r - 4*w + 16. What is the remainder when 37 is divided by r?
7
Let g be (-3)/(-4) + (-257)/(-4). Suppose -3*l + g + 70 = 0. What is the remainder when 79 is divided by ((-54)/5)/((-18)/l)?
25
Let a = 3 - -5. Calculate the remainder when 29 is divided by a.
5
Let w(h) = 2*h**3 - 2*h. Let y be w(-2). Let d be 1 - (y/1)/3. Suppose -d*q + 20 = -q. Calculate the remainder when 13 is divided by q.
3
Let p(n) = -n**3 - 7*n**2 - 7*n - 4. Calculate the remainder when p(-6) is divided by 1.
0
Suppose -1 = -2*x + 9. Suppose -10 = -7*j + 2*j. What is the remainder when (j/(-4))/((-5)/190) is divided by x?
4
Suppose 5*b + 37 = -2*s + 2, 2*b - 4*s = -38. Calculate the remainder when 27 is divided by b/18 + 42/4.
7
Suppose -4*j + 3*j + 10 = -2*q, -20 = 4*q + 5*j. Calculate the remainder when (-331)/q + (-6)/30 is divided by 17.
15
Suppose 3*f - 4*k + 31 = 6, -4*f - 38 = -3*k. Let j = f - -6. What is the remainder when 3 is divided by (-4)/(-8)*(-1 - j)?
1
Let o be -1 + 3*(-120)/(-9). Suppose k + o = 2*w, 70 = 3*w + 2*w + 3*k. What is the remainder when 32 is divided by w?
15
Let y be (2 + 8/(-6))*6. Suppose 4*o - y*l = 3*o, -100 = -5*o - 5*l. Suppose c = -5*z + 13, o = 2*z + 8*c - 4*c. What is the remainder when 3 