 What is the remainder when a is divided by 11?
9
Suppose 8*r = 6*r + 462. What is the remainder when r is divided by 72?
15
Let s = 99 - -122. Calculate the remainder when s is divided by 74.
73
Let p = 31 - 56. Let l = p + 39. Calculate the remainder when 1 - (1 - 56 - -2) is divided by l.
12
Let c(b) = 0 + 8 - 11*b**2 + 12*b**2 + 2*b. Calculate the remainder when c(-5) is divided by 12.
11
Let k be (-40)/100 - (-2 - 637/5). Let g = 294 - k. What is the remainder when g is divided by 21?
18
Suppose -5*n + 4*d = -78 + 3, 18 = 3*n + 3*d. What is the remainder when n is divided by 10?
1
Suppose -286*z + 306*z - 780 = 0. What is the remainder when 738 is divided by z?
36
Suppose 2*h - 28 + 20 = 0. Suppose -4*f - 4*i = -36, 31 - 5 = h*f - i. Calculate the remainder when 32 is divided by f.
4
Suppose 6*d - 22 - 170 = 60. Let k(i) = i - 4. Let u be k(6). Let c(n) = 6*n**2 - n. Calculate the remainder when d is divided by c(u).
20
Suppose -20 = -4*w, -2*w - 6614 = 11*i - 15*i. What is the remainder when i is divided by 21?
18
Let p be (2/6*0)/1. Suppose -6*k + 37 + 41 = p. Calculate the remainder when 49 is divided by k.
10
Let j(p) = p**3 + 5*p**2 + 7*p**2 + p + 2*p - 4*p**2 + 27. Calculate the remainder when 11 is divided by j(-8).
2
Let q(r) = r**2 - 2*r + 3. What is the remainder when q(7) is divided by (-4)/(-1) + -3 - 180/(-9)?
17
Let r be -2 + (-3)/(-3) - 27. Let p = -8 - r. Suppose 31*s - 94*s + 441 = 0. Calculate the remainder when p is divided by s.
6
Calculate the remainder when 53 is divided by (-7 - -17)*30/12.
3
Suppose -7*p + 40 = -3*p. Suppose -3*h + p = -h. Suppose -44 = w - h*w. Calculate the remainder when w is divided by 4.
3
Suppose -47*m + 42*m = 4*x - 148, -5*x + 218 = -2*m. What is the remainder when 122 is divided by x?
38
Suppose -2*x - x = -2*c + 13, -c + x = -6. Calculate the remainder when 44 is divided by c.
4
Suppose -2*b - 16*b + 414 = 0. What is the remainder when b is divided by 23?
0
Let b be (27/(-15))/((-1)/5). Suppose -b*q = -12*q + 12. What is the remainder when q is divided by 2?
0
Let s(y) = -y**3 + 19*y**2 + 19*y - 4. Let a be s(20). What is the remainder when ((-33)/4)/(9/a) is divided by 8?
6
Calculate the remainder when 155 is divided by (0 + (-52)/24*3)*-2.
12
Let w = 4 - 0. Let r = 1229 + -1205. What is the remainder when 282/w*(-2)/(-3) is divided by r?
23
Let k = 19 + 24. What is the remainder when 253 is divided by k?
38
Suppose -3*c + 97 = -5*o, 0*c + 3*c + 2*o = 83. What is the remainder when 173 is divided by c?
28
Let n be (10/8)/(1 + 68/(-64)). Let t = n + 27. Calculate the remainder when 62 is divided by t.
6
Let u = -14 + 1. Let r = 20 + -22. Let a = r - u. What is the remainder when 43 is divided by a?
10
Let k(b) = 4*b - 9. Let i be k(4). Suppose -4*g = -2*n + 6, -3*n = -6*n + 4*g + i. Calculate the remainder when 3 is divided by n.
0
Suppose 0 = -4*r + 47 + 53. Let z = 40 - 30. Let k = 24 - z. What is the remainder when r is divided by k?
11
Suppose -3*g = 10 - 19. Suppose -x = -3, -g*p - 4*x = -37 - 26. What is the remainder when 81 is divided by p?
13
Suppose -j + 89 = -l, 4*j = 6*j + l - 172. Let x(o) = 59*o + 1. Let z be x(1). Suppose z = n + n. What is the remainder when j is divided by n?
27
Suppose 51 + 25 = 2*h. Suppose -104 = -2*f - h. What is the remainder when f is divided by 9?
6
Suppose -3206 = -105*v - 581. What is the remainder when 68/1 + (-1)/(-1) is divided by v?
19
Suppose -5*h - 8 - 17 = 0, 2*p = -2*h + 8. Suppose -3*v - 65 = -s, 4*s + 3*v - 10 - 250 = 0. What is the remainder when s is divided by -4 - p/(-3)*7?
14
Suppose 5*q = -160 + 560. Suppose 7*a = 3*a + q. Calculate the remainder when 3/((-57)/a - -3) is divided by 7.
6
Suppose -2*w + 36*i = 33*i - 189, -3*i = 3*w - 291. Calculate the remainder when w is divided by 41.
14
Suppose 1251 + 479 = 10*v. Calculate the remainder when v is divided by 22.
19
Let j = -460 + 472. What is the remainder when 22 is divided by j?
10
Suppose -x = 3*g - 707, 4*x + 261 - 983 = -3*g. What is the remainder when g is divided by 61?
51
Suppose 8*g - 15 = 3*g. Suppose g*v - 31 - 35 = 0. Calculate the remainder when 9 is divided by ((-6)/(-8))/(v/88).
0
Let s(q) = -q + 9. Let n be s(9). Suppose n = -d + 2*a - 1, -4 = -a - 2. Suppose d*i + i = 116. What is the remainder when i is divided by 15?
14
Let x = -295 - -510. Calculate the remainder when x is divided by 27.
26
Suppose 4*n - f - 28 = 0, -4*n + 3*f = -2 - 26. What is the remainder when n is divided by 5?
2
What is the remainder when 27 is divided by 0 + 0 - (-56 + 52)?
3
Let x(t) = t**3 + t**2 - t + 7. Let g be x(0). Let n = g + -3. Suppose -5 = -u - 4*i + 3*i, 5*i = 4*u - 56. What is the remainder when u is divided by n?
1
Suppose -u = -3*u - 3*w + 5, -2*u = -5*w - 13. Suppose n - 2 = 0, -4*n + 18 = -3*q + u*q. What is the remainder when 108 is divided by q?
8
Let t = -6 + 10. Suppose 690 = 71*n + 193. Calculate the remainder when n is divided by t.
3
Suppose -1379 = -17*c - 172. What is the remainder when c is divided by 37?
34
Let z(t) = -2*t**2 - 8*t + 1. Suppose 221 = 5*u - m, 2*u - 67 = -m + 20. What is the remainder when u is divided by z(-2)?
8
Let j = -20 + 13. Let b be (-2019)/(-7) + 3/j. Suppose -5*k + c = 4*c - b, 4*c - 4 = 0. What is the remainder when k is divided by 20?
17
Suppose -4*v - f + 18 = -v, 5*v = -f + 32. Let o(h) = 3*h**2 + 6*h + 1. Calculate the remainder when o(-4) is divided by v.
4
Let f = 2134 - 1797. Calculate the remainder when f is divided by 22.
7
Let q be 16/(-6)*567/(-28). Let u be (-2)/(-14) - q/(-14). Suppose -5*g - 20 = 0, 3*v = 2*v - u*g + 13. Calculate the remainder when v is divided by 11.
7
Suppose 7*z - 4 = 5*z. Calculate the remainder when (-45)/(-10)*12/1 is divided by z/(-12) - (-460)/24.
16
Let l be 1/(2/(-3)*1/(-2)). Suppose d - 2*c - 3*c = 68, l*d - 156 = 3*c. Calculate the remainder when d is divided by 17.
14
What is the remainder when 33 is divided by 57/(-6)*(-11 + 9)?
14
Suppose 0*k = -2*x + k + 12, 0 = -2*x + 3*k + 20. Suppose -x = -2*p + 5*f + 56, p + f = 23. What is the remainder when 71 is divided by p?
21
Let b be 2/3 + 8/(-12). Suppose 2*p + 3*p - 225 = b. Suppose 2*h + 61 = 3*g, 5*g - 5*h + 54 = 149. Calculate the remainder when p is divided by g.
22
Let c(d) = -d**3 + 3*d**2 - 4*d + 16. Suppose -x - 5 = 3*i - 4*i, -3*x = -i - 1. Let a = i - 1. Calculate the remainder when a is divided by c(3).
3
Let h(b) = -b**3 - 5*b**2 + 9*b + 3. What is the remainder when h(-7) is divided by 33?
5
Let a = -918 + 951. What is the remainder when 291 is divided by a?
27
Let x = 7 + -3. Let z(f) = -f + 32*f**2 + 4 - 31*f**2 - 3. What is the remainder when 38 is divided by z(x)?
12
Suppose -4*f - 5 = -81. Calculate the remainder when f is divided by 12.
7
Let y(s) = -27*s + 19. Let u = 6 + -1. What is the remainder when y(0) is divided by u?
4
Suppose 3*h - 11 = 10. Suppose 52 = -h*p + 94. Suppose 5*v + i - 127 = -2*i, 4*i = v - 7. Calculate the remainder when v is divided by p.
5
Let b be 4/6 + 1/((-6)/(-26)). Suppose o - b*c - 5 = 0, -3*o + 4*c + 5 = -21. What is the remainder when 38 is divided by o?
8
Suppose 0 = p + 5*y - 56, -5*p - 2*y + 183 + 5 = 0. What is the remainder when 214 is divided by p?
34
Suppose q + 7 = -2*p - 34, -3*p = 3*q + 132. Let i = 185 + q. Suppose 0 = 3*y + 4*u - 109, y - 5*u = -3*y + 135. Calculate the remainder when i is divided by y.
33
Calculate the remainder when 115 is divided by ((4 - (-96)/18) + -2)*3.
5
Let l(q) = -60*q**3 + 3*q + 3. Calculate the remainder when l(-2) is divided by 32.
29
Let q = 5 + 4. Let w = 726 + -710. What is the remainder when w is divided by q?
7
Let r = 120 + -93. Suppose -r = 5*g - 47. Calculate the remainder when 53 is divided by g.
1
Let f(h) = 2*h - 4. Let r be f(3). Let y be 30/(-105) - 37/(-7). Suppose y*g - 419 = 2*t, 3*g - 2*t = r*t + 257. What is the remainder when g is divided by 21?
20
Suppose -o - 11 = -3*c, 3 = -c - 4*o + 11. Calculate the remainder when 966/15 + c - (-2)/(-5) is divided by (10*-1)/(-7 - -6).
8
Let s(v) = v**3 - 3*v - 1. Let l be s(-2). Let j be (-10)/(-8)*(l + -1). Let w = j - -10. What is the remainder when 24 is divided by w?
4
Suppose 4*h = 10*h - 84. What is the remainder when 160/3 - (-4)/6 is divided by h?
12
Let f(l) = 2*l**3 + 3*l**2