-2*i + 5 = 4*u + u. Suppose c = -i*a + 2*a + 7, -c = -a - 6. Calculate the remainder when v is divided by c.
3
Suppose r - 836 = -5*u - 807, r = -4*u + 42. Let h(k) = 20*k**3 - 2*k**2 + k. What is the remainder when r is divided by h(1)?
18
Let o be ((-4)/(-6))/((-2)/(-6)). Let p be (104/3)/((-28)/21 + o). Suppose -p = -8*a + 20. Calculate the remainder when 132 is divided by a.
6
Let u(g) = 644*g - 1904. Calculate the remainder when 6633 is divided by u(3).
25
Suppose -3*n + 3*l + 51 = 0, 2*n + 5*l = 112 - 113. What is the remainder when 179 is divided by n?
11
Suppose -3*u - 4*b + 5 = -41, -4*u + 3*b + 28 = 0. What is the remainder when 525 is divided by u?
5
What is the remainder when (-6*1654)/(-13 - -9) is divided by 92?
89
Let f = -85 - -89. Let a(g) = -f*g + 6*g - 40 - 7*g. What is the remainder when 66 is divided by a(-15)?
31
Let k(g) = 3*g**2 + 8*g + 5. Let h be k(-6). Let v = h - 121. What is the remainder when 81 + 1 + v/(-28) is divided by 22?
18
Let k = -10 - -17. Suppose -120 = -k*w + 104. Let q = 81 - 71. What is the remainder when w is divided by q?
2
Suppose 0 = -11*w + 2542 + 230. Calculate the remainder when (-7)/((-6)/(w/6)) is divided by 15.
4
Let m(q) = 141*q**2 - q + 1. Let x be (6 - 68/12) + (-2)/(-3). Calculate the remainder when m(x) is divided by 53.
35
Let q = 26606 + -26092. What is the remainder when q is divided by 69?
31
Let y(o) = o**2 - 22*o - 21. Let x be y(20). Let s = x + 63. What is the remainder when 43 is divided by (-6)/s + (-9)/(-5 - -4)?
1
Let t = 207 + -155. What is the remainder when 140 is divided by t?
36
Suppose 7*y = 19*y - 12. Calculate the remainder when 185 is divided by 14/(-35) - (y - 202/5).
29
Suppose -r - 4 = -0*r. Suppose 2*p = -5*p + 2*p, -5*p + 17 + 103 = 4*h. Calculate the remainder when h is divided by (-1)/(-4) + (-31)/r.
6
Suppose 4 = 5*p - 16. Suppose 5*l = 20, -5*l = -p*t - t + 2970. What is the remainder when t is divided by 50?
48
Suppose 13*v = 7192 + 7667. Calculate the remainder when v is divided by 31.
27
Let m = -249 - -296. Let n = m - -122. Calculate the remainder when n is divided by 37.
21
Suppose -y + 9337 = 3107. Calculate the remainder when y is divided by 1243.
15
Let o = 3 + 4. Suppose -13 - 59 = -6*n. What is the remainder when 568/n - 3/9 is divided by o?
5
Let h(m) = 76*m**2 + 250*m + 3. What is the remainder when h(-4) is divided by 39?
24
Suppose -3290*l + 3295*l = 4*j - 516, -j + 138 = l. Calculate the remainder when 390 is divided by j.
122
Let l(b) = 124*b**3 - b - 1. Let v be l(-1). Let u = v - -175. What is the remainder when u is divided by ((-36)/48)/((-3)/4) - (-100)/10?
7
Suppose -4410 = -8*f - 10*f. Calculate the remainder when f is divided by 81.
2
Let o be (3/9)/(2/(-30)). Let g(t) = t. Let m(w) = -3*w - 11. Let d(l) = -2*g(l) + m(l). What is the remainder when 52 is divided by d(o)?
10
Let c(w) = -w**2 + 7*w + 12. Let g be c(5). Suppose 6*p = g + 8. Calculate the remainder when 6 is divided by p.
1
Suppose 0 = 41*q - 42*q - 136. Let c = 269 + q. Let r(i) = -34*i. Calculate the remainder when c is divided by r(-1).
31
Let v(j) = -j**2 + 21*j - 23. Suppose 0 = -14*s + 551 + 79. What is the remainder when v(11) is divided by s?
42
Suppose -j - 49*f + 1744 = -48*f, 3*j - 4*f - 5295 = 0. What is the remainder when j is divided by 290?
13
Suppose 13*a - 28 = 24. Let f(p) = 3*p**2 + 12*p - 32. What is the remainder when 120 is divided by f(a)?
56
What is the remainder when 87 is divided by ((-138)/(-2))/(141 + -138)?
18
Calculate the remainder when 412 is divided by ((-2)/12*2*8)/((-44)/198).
4
Let r(b) = 48 - 4 + 16*b - 15*b + 8*b. Calculate the remainder when 50 is divided by r(-3).
16
Suppose -3749 - 10191 = 41*v. Let z = -254 - v. What is the remainder when z is divided by 13?
8
Let j(d) = d**3 + 8*d**2 + 2*d + 17. Let p be j(-8). Suppose 5*s - 41 = 19. Calculate the remainder when (231/(-22))/(-2 - p)*16 is divided by s.
8
Let t = 8 + -6. Suppose -2*j - 4 = -2*c, 4*j - 16*c - 16 = -24*c. Suppose -f = -4*p + 225, j*f = -p - t*f + 45. Calculate the remainder when p is divided by 29.
26
Suppose 9 + 6 = 3*j, 3*g - 1560 = 3*j. Let h = g + -442. Calculate the remainder when h is divided by 21.
20
Suppose 0 = 7*n - 1 - 20. Suppose -27 = q + n. What is the remainder when (-263)/(-5) + (-12)/q is divided by 19?
15
What is the remainder when 24318/40 - 31/(-620) is divided by 4?
0
Suppose -5*h = -5*u - 665, -659 = -4*u + 9*u - 3*h. Let m = -72 - u. Calculate the remainder when m is divided by 20.
18
Let a be (219/(-6))/((-4)/8). Let v = a + -66. What is the remainder when 74 is divided by v?
4
Suppose 39 - 145 = -53*s. Calculate the remainder when 172 is divided by ((-5)/10)/(s/(-92)).
11
Suppose w + 5*g + 10 = -0*g, -2*w - 38 = 4*g. Let c = w - -51. Suppose 0*d - 5*d = -4*o + c, 22 = 2*o + 2*d. What is the remainder when o is divided by 6?
3
Let j be 6/(-9) - 4/3. Let z be (-1 + 8)*(9 - (-715)/(-77)). Calculate the remainder when 89 + (0 - z) + j is divided by 10.
9
Suppose -9 = q - 9. Suppose 4*z - 138 = k, -4 = -q*k + 2*k. What is the remainder when z is divided by 24?
10
Suppose -n - 9 = -4*n. Suppose -2*v + 5 = -n*r - 98, -4*r = -v + 39. Let l = 8473 + -8463. Calculate the remainder when v is divided by l.
9
Let v = -16865 + 17038. Calculate the remainder when v is divided by 4.
1
Let t(q) = q**2 - 106*q + 399. Calculate the remainder when 300 is divided by t(103).
30
Let t = 18638 + -16489. What is the remainder when t is divided by 218?
187
Suppose 21 = 6*f + 3. Let g be ((3 - 6)/f)/((-2)/(-6)). What is the remainder when 63 is divided by (15/(-20) + -2)/(g/24)?
19
Let k(w) = 11*w**2 - 252*w + 117. What is the remainder when k(25) is divided by 680?
12
Suppose -469 + 19 = -15*x. Let l(g) = -g**3 + 14*g**2 - 2*g - 30. Let b be l(14). Calculate the remainder when b*1*(-3 + 3 + -1) is divided by x.
28
Let u = -363391 - -363420. Suppose -4*d = -d + 9. Let m = 5 + d. Calculate the remainder when u is divided by m.
1
Suppose 16*c = 7*c - 81. Let k(d) = -10*d - 42. Calculate the remainder when 91 is divided by k(c).
43
Let g = -9791 - -9905. Calculate the remainder when g is divided by 10.
4
Suppose 13*q - 6*q - 624 = -5*q. What is the remainder when 414 is divided by q?
50
Let c be ((-2)/3)/(16/(-192)). Suppose -232 = -c*s - 56. What is the remainder when 83 is divided by s?
17
Suppose a - o - 4 + 15 = 0, -4*o = -2*a - 32. Suppose 232*t - 226*t = 48. Calculate the remainder when (3/2)/(a/(-248)) is divided by t.
6
Let h(u) = 13*u**3 + 4*u**2 - 4*u + 10. Calculate the remainder when h(2) is divided by 34.
20
Suppose 5*u - 115 = 5*t, -34 = 3*u - 4*t - 106. Calculate the remainder when 199 is divided by u.
19
Let c = 403 + -189. Let h = c - 184. Calculate the remainder when h is divided by 18.
12
Let y be 2/((49/(-14))/(-7)). Let r be 115/3 + (-1)/3. Suppose -3*k - 2*h = 2*k - 43, 0 = -y*k + 2*h + r. Calculate the remainder when 13 is divided by k.
4
Let z = -3201 - -9104. What is the remainder when z is divided by 72?
71
Let g(b) = -10*b + 63. Let t be g(6). Suppose -t*k = -14*k - 891. What is the remainder when -4 + 0 - -4 - k is divided by 14?
11
Let n(o) = -2*o**3 + 2*o**2 + 32*o + 87. Calculate the remainder when n(-4) is divided by 2.
1
Let j be ((-2)/8*107)/((-9)/36). Let p = j - -17. Calculate the remainder when p is divided by 21.
19
Suppose -22998*a = -23008*a + 150. Calculate the remainder when 5156 is divided by a.
11
Suppose 4*j - 103 + 11 = 0. Suppose 0 = 2*w + 8, -w + j = -7*f + 10*f. What is the remainder when 41 is divided by f?
5
Suppose 6*d - 105 = d. Suppose -16*n + 12*n + 891 = 5*h, 0 = h - 4*n - 183. Suppose 173*u + 228 = h*u. What is the remainder when u is divided by d?
17
Calculate the remainder when (-5584)/(-56) + (24/14)/6 is divided by 21.
16
Let i(r) = 2*r**2 + 15*r - 37. Let c be i(-10). Suppose -9*g + c*g = 692. Calculate the remainder when g is divided by 18.
11
Let w(z) = -56*z - 3462. Calculate the remainder when 134 is divided by w(-63).
2
Suppose -3*b = 15*b - 522. Let y(s) = 6*s**3 - 2*s**2 + s. Let x be y(1). Let d(l) = 17*l. Calculate the remainder when d(x) is divided by b.
27
Let g(z) = -z**2 + 14*z + 51. Suppose 56 = -3*b + 236. Calculate the remainder when b is divided by g(14).
9
Let o(t) = 19*t**3 - 7*t**2 -