
Suppose 5*h = h. Suppose h = 3*v + v - 56. Calculate the remainder when 40 is divided by v.
12
Let y = 527 - 508. What is the remainder when 132 is divided by y?
18
Suppose 3*n = -5*u + 4*n - 16, 3*u = 4*n - 13. Let b be -3 - ((-2 - -1) + u). What is the remainder when 48 is divided by 7 - 9 - (-19)/b?
14
Suppose -2*a = -q - 4*q + 5, -3*q + 2*a - 1 = 0. Let o = q + 33. Let c = o + -13. What is the remainder when 90 is divided by c?
21
Suppose r - 5*r = -52. Suppose -4*g + 2*g = -20. Suppose -g*j + 35 = -5*j. Calculate the remainder when r is divided by j.
6
Suppose -8*a - 174 = -14*a. What is the remainder when a is divided by 21?
8
Suppose 0 = 5*x + 3*l - 211, -524 = -5*x + 5*l - 289. Calculate the remainder when 80 is divided by x.
36
Let w(y) = y**3 + 19*y**2 - 17*y + 64. Let n be w(-20). Suppose -p + n*d - 3 = 0, 7 + 1 = -p + 5*d. Calculate the remainder when 67 is divided by p.
16
Suppose 2*k + 2*p = 5*p + 455, -4*p = -12. What is the remainder when k is divided by 30?
22
Suppose f + 2 - 9 = 0. Suppose -2*r + 64 = -4*c, -r - 3*c = 4*r - 121. What is the remainder when r is divided by f?
5
Let d(m) = -36*m + 190. What is the remainder when 69 is divided by d(5)?
9
Let k(d) = d**3 + 4*d**2 - 6*d - 4. What is the remainder when 125 is divided by k(2)?
5
Suppose 8*d = 4*z + 3*d - 279, 0 = -z - 5*d + 76. Let v(a) = 2*a**2 - 2 + 62*a + 8 - 7*a**2 + 6. What is the remainder when z is divided by v(12)?
35
Let h(a) = -a**2 + 10*a - 4. Let t be h(9). Suppose s - t - 6 = 0. Let n = s + -6. What is the remainder when n is divided by 4?
1
Suppose -4*j + 1405 = -1851. What is the remainder when j is divided by 102?
100
Suppose 15*h + 27 = 1257. Suppose 4*b - 109 = -5*o, 3*o + 0*b - 5*b - 58 = 0. Calculate the remainder when h is divided by o.
19
Calculate the remainder when 14 is divided by ((-16)/12)/(-4)*15 - -3.
6
Let c(m) = -8*m**2 - 10*m - 2. Let b = 0 - 4. Let o be c(b). Let f = -57 - o. What is the remainder when f is divided by 18?
15
Let j = 16 + -5. Let q = j + -7. What is the remainder when 13 is divided by q?
1
Let o = -32 + 124. Let j = o + -40. What is the remainder when 100 is divided by j?
48
Let t(i) = -i**3 - 5*i**2. Let u be t(-5). Let k = 187 + -182. Suppose -x = -k - u. What is the remainder when x is divided by 2?
1
Let o be 2 - (3/3 + -3). Let p(k) = 2*k - 9. Let a be p(7). Suppose a*x + 4*s - 54 = 0, -x = o*s + s + 6. Calculate the remainder when x is divided by 8.
6
Suppose -3 = 2*w + 29. Let r(g) = -g**2 - 18*g - 18. Calculate the remainder when r(w) is divided by 8.
6
What is the remainder when 1699 is divided by (-14608)/(-198) - (-2)/9?
71
Let k = -88 - -94. Calculate the remainder when 127 is divided by (-3 + 4 + (-9)/k)*-52.
23
Let n(y) = -y**3 + 17*y**2 - 41*y - 9. What is the remainder when n(13) is divided by 17?
15
Let o(z) = -z**3 - 2*z**2 + 2*z - 3. Calculate the remainder when o(-4) is divided by (-13 + 10 - 6) + 15.
3
Suppose 2*c = c + 1, 26 = -2*t + 4*c. Let m(h) = h**2 + 11*h + 6. What is the remainder when m(t) is divided by 2?
0
Let m(l) = 106 + 7*l**2 - 26*l**2 - 95 + 20*l - l**3. What is the remainder when 76 is divided by m(-20)?
10
What is the remainder when 136 is divided by ((-17)/(-68))/((-1)/(-4)) - -22?
21
Calculate the remainder when 35 is divided by 5*((-8)/40 + (-30)/(-25)).
0
What is the remainder when 44 is divided by (-27 + -1)*((-13)/(-2))/(-13)?
2
Let x be 5*(-4)/(-15)*3. Suppose x*g + 4 = -4. Calculate the remainder when 15 is divided by (g - -1)/(6/(-48)).
7
Let b = 329 + -161. What is the remainder when b is divided by 61?
46
Let i(o) = -3*o + 19. Let y be i(15). What is the remainder when -1*5 - (y + -8) is divided by 8?
5
Let s(g) = -65*g**3 + g**2 - 19*g - 21. What is the remainder when s(-1) is divided by 22?
20
Let v be 5/27*21 + 2/18. Suppose j = f + 25, -v*j + j + 79 = -4*f. Calculate the remainder when j is divided by 5.
1
Suppose 3*o - 4*a = -o + 156, -4*a + 20 = 0. Let x(j) = -32*j - 2. Let t be x(-1). Suppose -3*m = -m - t. What is the remainder when o is divided by m?
14
Let p(a) = -2*a**3 - 3*a**2 + 4*a + 1. Calculate the remainder when 98 is divided by p(-3).
2
Suppose -808 = -5*d - 583. Suppose -2*q - 15 = -47. What is the remainder when d is divided by q?
13
Let c = -579 - -708. Calculate the remainder when c is divided by 7.
3
Let n = 3 + 15. Suppose -2*s + 46 = 4*q, -5*s + 2 = q + 4. Suppose 0 = -5*l + 2 + q. What is the remainder when n is divided by l?
0
Suppose 0 = -z - 3*t - 7, 2*z = -t + 10 + 1. What is the remainder when 15 is divided by z?
7
Suppose -3*d - 2*d = 0, 2*d = -2*v + 168. Let z = -703 + 725. Calculate the remainder when v is divided by z.
18
Let i be (2 - 25) + -2 - -4. Calculate the remainder when -7*39/i*1 is divided by ((-24)/2)/(6/(-4)).
5
Let j = -36 + 43. Suppose -5*a = -24 - 146. What is the remainder when a is divided by j?
6
Suppose 0 = -3*n + 4*s + 5, -5*n + 3 = -3*n - 3*s. Suppose -5*z + 70 = -4*t, 0 = -7*z + n*z - 3*t + 87. Calculate the remainder when 69 is divided by z.
15
Let n = -131 - -139. Let v(u) = u**3 + 14*u**2 - 6*u + 11. What is the remainder when v(-14) is divided by n?
7
Suppose -345 = -14*l - 37. What is the remainder when l is divided by 16?
6
Let u = 393 - 160. What is the remainder when u is divided by 39?
38
Suppose -2*r = -3*g - 46 + 346, -3*g + 321 = 5*r. Let l = -94 + g. Calculate the remainder when 21 is divided by l.
5
Let v = 60 + 51. Suppose 0 = 4*q - 2*z - 52, 5*z - 24 = 7*q - 8*q. What is the remainder when v is divided by q?
13
Let n be (1/2)/((-5)/(-10))*-42. Let u = 56 + n. What is the remainder when 25 is divided by u?
11
Let h = 904 + -893. Calculate the remainder when 362 is divided by h.
10
Let d = 270 + -240. Calculate the remainder when 127 is divided by d.
7
Let z(o) = -3*o - 26. Let c be z(-12). Suppose -7*q = c*q - 1071. Calculate the remainder when q is divided by 33.
30
Let d be 1/(2/38) - 2. Let x(a) = -3 + 4 - 4*a + d*a. Calculate the remainder when 51 is divided by x(2).
24
Suppose 0 = -o - 5*q + 4, -30 = -3*o + 2*q + 16. Let g(l) = -4*l + 4*l + 6 + 8*l. Calculate the remainder when g(6) is divided by o.
12
Let x(i) = i - 2*i**3 - 2 + 0*i - 6*i**2 + 3*i**3 - 1. Let d(t) = t. Let r be d(6). What is the remainder when 8 is divided by x(r)?
2
Calculate the remainder when ((-78)/(-12))/(8/80) is divided by 13.
0
Let y(i) = 19*i - 2. Let d be y(1). Suppose 5*w - d = 8. Let p = 1 + 11. Calculate the remainder when p is divided by w.
2
Suppose 6 - 2 = -2*h. Let y(n) = n**3 - 7*n**2 + 5*n + 1. Calculate the remainder when y(7) is divided by 0 + h/((-6)/39).
10
Let d = 1219 - 1216. What is the remainder when 12 is divided by d?
0
Suppose -4*t = 2*f - 282, -3*f + 78 = -37*t + 38*t. Calculate the remainder when t is divided by 15.
9
Let o(n) = n**2 - 8*n - 5. Suppose 0 = 5*i - 33 - 12. Let u be o(i). Suppose -u*x + 128 = -60. Calculate the remainder when x is divided by 12.
11
Let u(b) = -7*b**2 + 5*b - 11. Let p(w) = -4*w**2 + 2*w - 6. Let i(r) = 5*p(r) - 3*u(r). What is the remainder when 11 is divided by i(5)?
2
What is the remainder when 63 is divided by ((-2)/(-6))/((-2)/(-193 - 5))?
30
Let o be 3/(24/(-20))*2. Let u = 0 - -9. Calculate the remainder when u is divided by ((-12)/(-15))/((-1)/o).
1
Let g(d) = 2*d + 10. Let r be g(-6). Calculate the remainder when 18 is divided by 1/r + (-63)/(-6).
8
Suppose 51 = 4*z + 5*x, 6*x - 2*x - 75 = -5*z. Let r = -43 - -154. Calculate the remainder when r is divided by z.
16
Let r be (-10)/(-15) - (-14)/6. What is the remainder when 2 + (-1)/(r/(-27)) is divided by (-8)/(-2) - (-8 - -6)?
5
Suppose -3*n - 5*s + 15 = n, 4*n - 22 = 2*s. Suppose 0 = w + 2*w - 4*x - 17, n*x - 20 = 0. Calculate the remainder when 76 is divided by w.
10
Let z = -131 + 320. What is the remainder when z is divided by 22?
13
Let w = -108 - -101. Calculate the remainder when 2/(-7) + 662/14 is divided by (24/w)/(2/(-7)).
11
Let r = -20 + 92. Suppose -3*f - 4*n = f - r, 5*f - 5*n - 80 = 0. What is the remainder when 50 is divided by f?
16
Let o(d) = 5*d - 1. Let h be o(-3). Let r = 6 - h. Calculate the remainder when 42 is divided by r.
20
Let k(t) = t**2 + 2*t + 3. Suppose o - 6 = 4*f, 0 = -2*o - 4*f + 37 - 13. What is the remainder when k(-5) is divided by o?
8
Suppose -4*o = 5*q - 17 - 