Suppose 7*z - 127 = -43. Suppose -z*i - 40 = -16*i. What is the remainder when 46 is divided by i?
6
Let w = -83 + 88. Suppose 41*q - 40*q = 12. What is the remainder when q is divided by w?
2
Calculate the remainder when (566/(-22))/((-1)/11) is divided by 71.
70
Let i(j) = -j**2 - 6*j + 3. Let l be i(-6). Suppose -q = l*r - 8, 0*q - 30 = -2*q + r. Calculate the remainder when 228/q - 4/14 is divided by 6.
4
Suppose 0*b = 5*b + 5*c - 10, 3*c = -5*b + 14. Calculate the remainder when 32 is divided by (-110)/(-15) - ((-8)/(-6))/b.
4
Suppose -10479 = -0*a - 21*a. What is the remainder when a is divided by 84?
79
Suppose 2*j = 2, 2*x + 2*j - 5*j = 83. Suppose -d - 4*u - 14 + x = 0, 5*d - 3*u - 260 = 0. Calculate the remainder when d is divided by 13.
10
Let w(u) = -u**3 - 11*u**2 - 11*u - 2. Let s be w(-10). Suppose -s*d + 3*d = 5*m - 30, 3*d - 4*m = 46. What is the remainder when 22 is divided by d?
2
Let a = 1141 + -585. What is the remainder when a is divided by 182?
10
Let a(t) = -t + 76. Let k be a(0). Suppose -5*p + k = -2*w - 0*w, 8 = 4*w. Calculate the remainder when p is divided by 5.
1
Let l(a) = -a - 2*a - 7 - 4 + 3. Let i be l(-4). Suppose -14 - 42 = -5*k + i*d, -2*d = 5*k - 62. Calculate the remainder when k is divided by 7.
5
Let y = 380 + -377. What is the remainder when 13 is divided by y?
1
Let o(b) = -b**3 + 5*b**2 + 7*b - 3. Let v(j) = -j + 18. Let l be v(13). Let a be o(l). Suppose -a + 3 = -n. Calculate the remainder when n is divided by 8.
5
Let j = 14 + 236. Calculate the remainder when j is divided by 18.
16
Let n be (-34)/6 - 6/(-9). Let x be n*(-2 - 26/5). Suppose 0 = o - 2*m - 7 - 24, o - 3*m = x. What is the remainder when o is divided by 8?
5
Calculate the remainder when 86 is divided by (-138)/(-4) + 291/194.
14
Let j(y) = -y**3 + 5*y**2 + 9*y - 6. Suppose -2*g - 39 = -185. Let m = g - 39. What is the remainder when m is divided by j(6)?
10
Suppose 4*r + 2*j = 153 + 25, -j - 219 = -5*r. What is the remainder when 255 is divided by r?
35
Suppose -32 = -4*g - 0*q - 4*q, 0 = -5*g + q + 10. Suppose 5*u - 11 - 14 = 0. Suppose -u*d + 31 = 6. What is the remainder when d is divided by g?
2
Let b(w) = -41*w + 7. What is the remainder when 104 is divided by b(-1)?
8
Let b(r) = -r**3 + 9*r**2 - 8*r + 7. Let o = -4 + 12. Let h be b(o). Suppose -6*i - h = -7*i. Calculate the remainder when 13 is divided by i.
6
Let f(d) = -d**2 - 16*d + 8. Suppose 54 = -5*x - 2*n, -2 - 6 = 4*n. Let c be f(x). Suppose -8*k + c = -6*k. What is the remainder when k is divided by 18?
16
Let a = 79 - 46. Let f = -50 + a. Let o = 48 + f. Calculate the remainder when 121 is divided by o.
28
Calculate the remainder when 125 is divided by (1 - (-26)/6)*(29 - 23).
29
Suppose -105*u = 2*t - 107*u - 380, 4*t - 752 = 2*u. Calculate the remainder when t is divided by 36.
6
Suppose x - 18*x + 1088 = 0. What is the remainder when 107 is divided by x?
43
Let g(t) = -11*t - 4. Let h be g(6). Calculate the remainder when h/(-4) - (-1)/(-2) is divided by (4 + -1)/(260/15 - 17).
8
Let x(p) = -2*p**3 + 12*p**2 + 3*p - 7. Calculate the remainder when 31 is divided by x(6).
9
Let q be 2/6 + 232/24. Let j(u) = -u**2 + 10*u - 2. Let o be j(q). What is the remainder when 15 is divided by o*1*(-3 + 0)?
3
Suppose 9*y = 18*y - 549. What is the remainder when y is divided by 24?
13
Let b(v) be the second derivative of v**4/12 + 11*v**3/3 + 24*v**2 - 17*v. Calculate the remainder when b(-22) is divided by 25.
23
Let j = -1887 + 1983. What is the remainder when 378 is divided by j?
90
Suppose -3*x + 90 = 3*s, 4*s + 17*x - 16*x = 129. Calculate the remainder when 408 is divided by s.
12
Suppose -64 = -12*x - 4. Let p be 0 - -1 - 3/(-3). Suppose -5*c + g = -109, p*c - c = 3*g + 19. Calculate the remainder when c is divided by x.
2
Suppose 0*d + 22 = 2*d. Let j = -2634 - -2638. What is the remainder when d is divided by j?
3
Let u = -707 + 730. Calculate the remainder when 107 is divided by u.
15
Let p(k) = -61*k - 87. What is the remainder when 2493 is divided by p(-3)?
93
Let p(o) = 5*o + 54. Calculate the remainder when p(-4) is divided by 20.
14
Let b(a) = a**2 - 11*a + 30. What is the remainder when 235 is divided by b(11)?
25
Suppose -5*d + 7*z - 10*z = -2885, 0 = -5*d - z + 2885. Calculate the remainder when d is divided by 116.
113
Let o = 75 + -79. What is the remainder when 84 is divided by (o - (-10)/5)/(2/(-29))?
26
Let p(y) = -14*y + 282. What is the remainder when 89 is divided by p(17)?
1
Suppose -a + 36 = 5*y + 1, 4*y = -2*a + 82. Let p = 78 - a. Let t(i) = 3*i**2. What is the remainder when p is divided by t(-2)?
9
Let l(i) = i**2 - 5*i - 1. Let w be l(4). What is the remainder when (40/(-12))/w - (-146)/6 is divided by 13?
12
Suppose 19 = -s + 6*s - 4*c, -4*c = 3*s - 5. Suppose -r - s + 22 = 0. Let k = 33 + -26. What is the remainder when r is divided by k?
5
Suppose 8*a = 220 - 12. Suppose -a - 20 = -s + 4*v, -5*s = -2*v - 302. What is the remainder when s is divided by 22?
18
Suppose -5*v = -1320 + 580. Calculate the remainder when v is divided by 6.
4
Suppose -1339 = -2*l - 5*w, 5*l + 7*w = 2*w + 3385. Suppose 3*a = 14*a - l. Calculate the remainder when a is divided by 13.
10
Let n(x) = -x**2 - 6*x + 3. Let j be n(-6). Suppose -4*p + 4*y + 56 = 0, 63 = 5*p + j*y - y. What is the remainder when 46 is divided by p?
7
Let v be 4/(-8)*46*-1. What is the remainder when v + -6 + -4 + 7 is divided by 6?
2
Let w(n) = n**2 + 4*n + 17. Let x be -5 + (-2)/(-3)*9/6. Calculate the remainder when 66 is divided by w(x).
15
Let j(z) = 3*z**2 + 2*z - 5. Let q = -15 + 11. What is the remainder when j(q) is divided by (-4)/(-14) - (-122)/14?
8
Suppose 3*m - 149 = -x, 5*m + 6*x - 253 = 2*x. Suppose -w + 4*w = -p - 94, 3*w + 74 = 4*p. Let r = -17 - w. Calculate the remainder when m is divided by r.
10
Suppose 9*n + 10*n - 1767 = 0. What is the remainder when n is divided by 16?
13
Suppose -3*q + 7 + 4 = -4*t, 3*q - 18 = -3*t. Let h be (2 - -2) + q + -6. Suppose 0 = h*u - 197 + 35. Calculate the remainder when u is divided by 14.
12
Let g = 26 + -26. Suppose -i + 8 = 3*l, -3*i + g = -4*l - 11. What is the remainder when l is divided by 1?
0
Let b = 38 - 24. Let u(m) = m + 24. Calculate the remainder when u(b) is divided by 14.
10
Let z be ((-4)/8)/(1/(-6)). Let d = 2 + z. Calculate the remainder when 40 is divided by d/(15/72) - 3.
19
Suppose 4*r = 31 + 9. Let o = -18 + 26. Suppose -l = -o + 4. Calculate the remainder when r is divided by l.
2
Suppose 4*w = 3*d - 44, 2*d - 7*d = 2*w - 30. Calculate the remainder when (-315)/(-14)*(48/8 - 4) is divided by d.
5
Let v = 6227 - 6197. What is the remainder when v is divided by (9 - 1)*(-1 + 2)?
6
Let d = 5 - 3. Let i = -45 - -48. Suppose -l = 3*m + 8, 0 = l + i*m - 8*m - 24. What is the remainder when l is divided by d?
0
Let i = 1136 + -731. What is the remainder when i is divided by 37?
35
Let y(n) = 59*n - 341. What is the remainder when y(6) is divided by 8?
5
Let i(t) = 2*t**2 - 2*t + 2. Let d be i(1). Let q(s) = 2*s**3 - 4*s**2 + 3*s - 1. Calculate the remainder when 27 is divided by q(d).
2
What is the remainder when (3 - 4)*6/(24/(-404)) is divided by 50?
1
Suppose -4*q + 4599 = -5*c, 4*c + 4998 - 398 = 4*q. Calculate the remainder when q is divided by 64.
63
Let u = 179 - 151. Calculate the remainder when 97 is divided by u.
13
Suppose -4*b + 9 = -b. Suppose -4*v = -3*v + t - 13, b*v + 4*t = 36. Calculate the remainder when v is divided by (0 - -7) + (-10 - -9).
4
Let f = -19 - -15. What is the remainder when (2/1 + f)*-5 - -2 is divided by 6?
0
Let a be (1 + -2)/((-3)/30). Let f = a + 5. Let s(x) = 55*x**2 - 22*x - 5. What is the remainder when s(1) is divided by f?
13
Suppose -14 = -3*a + 64. Suppose 2*i + i + 3*r = 303, i - 2*r - 104 = 0. Calculate the remainder when i is divided by a.
24
Let z be 3 + 11 - (-6)/2. Suppose -4*u + 3 = -z. Suppose -3*p + 12 = u*d - 82, -3*d + 2*p + 45 = 0. Calculate the remainder when 82 is divided by d.
14
Let m(r) = -100*r + 5. Calculate the remainder when m(-2) is divided by 9.
7
Suppose -128*s + 5*g = -125*s - 57, 3*s + 4*g = 30. Calculate the remainder when 50 is divided by s.
8
Let j = 4 + -6. Let p be (-9)/(2 - (1 - j)). Suppose -p*z + 60 = -5*z. Calculate the remainder when z is d