se -5*n = 3*g + f - 128, -g + 5*n + 33 = 0. Suppose -g*x = -34*x - 68. What is the remainder when 60 is divided by x?
9
Let a = -10 + 7. Suppose -3*h = -2*h - 4*m + 23, -4*h - m - 7 = 0. Calculate the remainder when 50 is divided by ((-68)/(-4))/(h/a).
16
Let m = -187524 + 187536. Let f(h) = -6*h**2 + 4 + 2*h**3 - 6*h + 2*h**3 - 5*h**3. What is the remainder when f(-7) is divided by m?
11
Let s(y) = y**3 + 9*y**2 + 5*y + 6. Let f be s(-8). Suppose f + 57 = 3*x. Calculate the remainder when x is divided by 2/(-37) - (-31 - (-7641)/333).
5
Let t(s) = 82*s**2 + 41 - 193*s + 38 + 219*s. Calculate the remainder when t(-3) is divided by 57.
55
Let w(v) = 223*v**2 + v - 10. Calculate the remainder when 2656 is divided by w(2).
4
Let p(v) = -39*v + 61. Calculate the remainder when 451 is divided by p(-10).
0
Let x(a) = -12*a - 786. Let v be x(0). Let u = 859 + v. Calculate the remainder when 947 is divided by u.
71
Calculate the remainder when (-40662)/18*-1 + (1 - (1 - -2)) is divided by 73.
67
Suppose -5*w + 3*l = -51, 42 = 5*w - 5*l - 3. Suppose 5*f + 4 = 34. What is the remainder when 39 is divided by (w + 2)*(f - 5)?
11
Let w(y) = 96*y**2 - 3*y - 4. Calculate the remainder when 286 is divided by w(-1).
1
Let c(i) = 50*i**3 - 6*i**2 + 33. Let j be c(4). Suppose 0 = -5*b - 16*w + 15*w + j, -4*b + 4*w + 2524 = 0. Calculate the remainder when b is divided by 30.
28
Let q = -85 + -7. Let b = 97 + q. What is the remainder when 32 + (-1 - (-1 + 1)) is divided by b?
1
Suppose 105*f - 9204 = 53*f. Calculate the remainder when 1590 is divided by f.
174
Let g = 12633 + -11409. What is the remainder when g is divided by 175?
174
Suppose 2441 = l - 8*h, -49*l = -47*l + 4*h - 4962. What is the remainder when l is divided by 205?
13
Suppose -87 + 7 = -8*z. Suppose 2*r + z = 58. Calculate the remainder when (-6)/1*46/(-3) is divided by r.
20
Suppose -800 = 3*w - 7*w. Let h be w/(-16)*4/5. Let n = 1 - h. What is the remainder when 41 is divided by n?
8
Calculate the remainder when 611 is divided by (4/(-8)*6)/((-120)/4960).
115
Let g(s) = 2*s**3 - 21*s**2 - 10*s - 9. Let l(v) = 10*v. Let f be l(1). Suppose -x = x - f. Calculate the remainder when x is divided by g(11).
1
Suppose -8*g + 4*g + 40 = 0. Suppose 2*z + g = 124. Let r(x) = -x**3 - x**2 + 29*x + 15. Calculate the remainder when z is divided by r(0).
12
Suppose -3*i - 2*i = 3*t - 206, t - i - 82 = 0. Let u = 123 - 113. What is the remainder when t is divided by u?
7
Let w be (-56)/364 - (-1)/(26/4476). Suppose -g + 4*u = -51, w = 4*g - 4*u - 20. Calculate the remainder when g is divided by (-2)/(3/(42/(-4))).
5
Let f(b) = -2*b - 12. Let l(k) = -3*k - 13. Let v = 40 - 37. Let s(m) = v*l(m) - 4*f(m). What is the remainder when s(-15) is divided by 7?
3
Let x = -53 - -77. Suppose 4*y = -5*a + 574 + x, -3*y + 6 = 0. Calculate the remainder when a is divided by 30.
28
Suppose 10839 = 4*k - 3*u, 5357 - 18892 = -5*k + u. Calculate the remainder when k is divided by 61.
22
Let b(j) = -181*j + 13688. Calculate the remainder when b(70) is divided by 255.
253
Suppose 5*r - 13779 = -4*s, r - 2752 = 23*s - 20*s. What is the remainder when r is divided by 30?
25
Let x = 1 - -3. Let b(g) = g**2 - 13*g - 12. Let f be b(20). Suppose 0*t - x*t = -f. What is the remainder when t is divided by 11?
10
Let y = -268 - -280. Let q be 8/((-6)/9*-3). Suppose -69 = -q*u + 211. Calculate the remainder when u is divided by y.
10
Suppose 0 = -2*f + 3*k - 1363, -5*k = f + 2*f + 2092. Let d = -451 - f. Calculate the remainder when d is divided by 10.
8
Let l = 24602 + -24419. What is the remainder when 916 is divided by l?
1
Let h = 555 - 238. Let i = -594 + 596. Suppose -n + 4*q = -25 - 24, h = 5*n - i*q. Calculate the remainder when n is divided by 22.
21
Suppose -3*y + v - 21 = -8*y, 4*v - 4 = 0. Suppose 4*w = -2*c + 18, y*c = -1 - 11. What is the remainder when 45 is divided by w?
3
Let j(q) = q**2 - 5*q - 2. Let h be j(6). Suppose 0 = h*p - 218 + 18. Let z(r) = 5*r**2 + 14*r + 23. Calculate the remainder when p is divided by z(-3).
24
Suppose 0*r = -s + 3*r + 11, 3*r = -5*s + 19. Suppose 5*y - 57 = y - 3*u, 0 = s*u + 5. Calculate the remainder when 35 is divided by y.
5
Suppose 4*k = 5*r - 236 - 57, -r - 3*k = -89. What is the remainder when 184 is divided by r?
54
Let q = 36 - -32. Suppose 0 = -2*z + 4*a + 122, -a + 6*a = 5*z - 330. What is the remainder when z is divided by 1 - (-5)/(20/q)?
17
Let h = 220 - -121. Suppose 0 = 5*p + 2*g - 297, 46*g + 96 = 2*p + 43*g. What is the remainder when h is divided by p?
56
Let p(u) = -37*u - u - 159 + 162. What is the remainder when p(-1) is divided by 11?
8
Calculate the remainder when 83 is divided by 8 + -12 + 1 + 49.
37
Suppose 81 = 4*p + 9. Suppose -15*v + p*v = 6. Suppose 42 = 5*d - v*z, -24 = -4*d + 4*z + 12. What is the remainder when 55 is divided by d?
7
Suppose -17 = -3*d + 76. Suppose 6 = -3*l + 5*l. Let o(r) = 2*r + 5. What is the remainder when d is divided by o(l)?
9
Let q(i) = 4*i - 100. Let y be q(26). Calculate the remainder when 25 is divided by -4 + (12 - (y + -4)).
1
Let v(y) = 537*y + 7620. What is the remainder when 387 is divided by v(-14)?
81
Let g(c) = c + 21. Let m(d) = 6*d + 52. Let a be m(-9). Let l be (-6)/a - 0/5. Calculate the remainder when 71 is divided by g(l).
23
Suppose -8 - 13 = -3*s. Suppose b + 74 = i, 0 = -2*b + b - 2. Suppose s*r - i = 4*r. Calculate the remainder when 117 is divided by r.
21
Suppose -13*d + 2067 + 17589 = 0. Suppose k + 27*k = d. Calculate the remainder when 214 is divided by k.
52
Let b = -39654 + 39747. Suppose -t + 2*a - 190 = -5*t, 3*a - 235 = -5*t. Calculate the remainder when b is divided by t.
43
Let b = -5 + -9. Let l be (240/(-7))/5 + 2/b. Let j = l - -18. Calculate the remainder when 21 is divided by j.
10
Let f(p) = -4*p + 12*p - 13 - 3*p - 8*p. Let k be f(-4). What is the remainder when 66 is divided by ((-8)/12)/(k/(-3)) - -25?
20
Let b(d) = 14*d**2 - 21*d + 43. Suppose 3*n - 6 = -3*c, 11*n - 13*n + 2*c = -4. Calculate the remainder when b(n) is divided by 20.
17
Suppose 8*d - 12 = 3*d + 2*g, 3*g - 4 = 2*d. What is the remainder when 235 is divided by (d - (0 + 5))/(3/(-51))?
14
Suppose 0*a = -12*a + 36. Suppose -152 = a*g - 719. What is the remainder when g is divided by 38?
37
Let d(m) = 4*m**3 - 28*m + 52. Let f(a) = 27*a + 47. Calculate the remainder when f(22) is divided by d(2).
25
Let m(l) = -445*l + 5559. Suppose u - 30 = -2*u. What is the remainder when m(12) is divided by u?
9
Calculate the remainder when 339 is divided by ((-17)/(-119))/(3/231).
9
Suppose 0 = -19*a - 7*a + 6*a + 1660. What is the remainder when 170 is divided by a?
4
Let z(a) = -a**2 - 43*a + 484. Calculate the remainder when 3038 is divided by z(-52).
14
Let h = -140 + 254. Let a = h + -40. Let t = 59 + -33. Calculate the remainder when a is divided by t.
22
Let b = -40 - -43. Suppose b*n + 7 + 17 = -5*t, 0 = -5*t - 15. Calculate the remainder when 71 + n - (-2 + 1) is divided by 35.
34
Let f(j) = -14*j + 43. Let b(k) = 3*k. Let l(q) = -3*b(q) - f(q). Calculate the remainder when 82 is divided by l(11).
10
Suppose 0 = 18*t - 15545 - 42739. What is the remainder when t is divided by 40?
38
Let n = 26762 - 26731. Let o = -9 - -29. Calculate the remainder when n is divided by o.
11
Let i(y) = y**2 + 5*y - 25. Let m be i(3). Let p = -47 + 71. Let u = m + p. What is the remainder when 112 is divided by u?
20
Let z be (5 + (-54)/30)/((-4)/(-10)). Let i be (-2)/(z/4) + 9. Suppose i*m + 18 = 10*m. Calculate the remainder when 21 is divided by m.
3
Let j = -4456 + 4604. What is the remainder when 2809 is divided by j?
145
Let t = -182 + 199. Let s = t - -76. Calculate the remainder when 273 is divided by s.
87
Let p = 19871 - 19846. Calculate the remainder when 61 is divided by p.
11
Let a(b) = 2*b**3 + 16*b**2 - b - 44. Let y(m) = -3*m**3 - 31*m**2 + 4*m + 87. Let f(v) = -5*a(v) - 3*y(v). What is the remainder when f(9) is divided by 76?
68
Suppose -1339 = -10*w + 13*w + j, -4*w - j - 1785 = 0. Let y = w - -602. What is the remainder when y is divided by 32?
28
Let c be 16/56 + -2 + (-162)/(-21). Let f(i) = 2*i - 37. Let q be f(c). Let z = -21 - q. Calculate the remainder when 19 is divided by z.
3
Suppose 10*i - 1340 = 6*i. Let t be (1 + 6)/