5*y + 3*w = -2587, -2*y + 4*w = -387 - 659. What is the remainder when y is divided by 31?
19
Let n = -35 + 7. Let b be ((2 - -3) + 1)*n/(-7). Suppose 7*o - b = 6*o. Calculate the remainder when o is divided by 14.
10
What is the remainder when (-1427)/2*(6 + -8) is divided by 11?
8
Suppose 300*q - 314*q = -27146. Calculate the remainder when q is divided by 36.
31
Let j(g) = -g**2 - 13*g - 17. Let u be j(-15). Let z = -86 - u. Let d = z + 75. What is the remainder when 102 is divided by d?
30
Let g = 5886 - 3716. Calculate the remainder when g is divided by 34.
28
Let o = 66 + -64. Suppose o*j + 66 = 5*j. Let g(v) = v + 15. Calculate the remainder when j is divided by g(-3).
10
Let j(v) = v**3 - 5*v**2 + 7. Let u be (-471 + -43)*(-2)/(-8)*2. Let p = -248 - u. Calculate the remainder when j(6) is divided by p.
7
Let n = 1755 + -1737. What is the remainder when 36 is divided by n?
0
Let r = -3796 + 4265. Calculate the remainder when r is divided by 43.
39
Suppose 0 = 8*o - 13*o. Suppose o = -k - 4*k + 30. What is the remainder when 33 is divided by 0 + k + 1*3?
6
Suppose 0 = 3*c + l - 314, 17*c - 13*c - 4*l = 456. What is the remainder when c is divided by -2 + 0 + (-1 - -19)?
11
Let s = 2910 + -2869. Calculate the remainder when 898 is divided by s.
37
Let c be (104/(-16))/(-13)*12. Suppose -c*y + 181 = -5*y. Calculate the remainder when y is divided by 46.
43
What is the remainder when (28 - 25)*(-43)/(-1) is divided by 18?
3
Suppose -3*b - 180 = -13*b. Let p be (2796/b)/(24/9 - 2). Let w = -155 + p. Calculate the remainder when w is divided by 20.
18
Suppose -6*h - 5*r + 2 = -3*h, 2*h + r = 6. Suppose -179 = -x - 2*x + q, 242 = h*x - 2*q. Let z(s) = -8*s - 2. What is the remainder when x is divided by z(-4)?
28
Suppose 4*i = 3*q + 18, 1171*i - 1172*i - 4*q = -33. Calculate the remainder when 1256 is divided by i.
5
What is the remainder when 9306 is divided by 105/(-45)*(-5136)/112?
104
Let w be 4 - (5 - 0) - -6. Suppose i - w*k = -11, 0*i = -i - 2*k - 4. Calculate the remainder when 17 is divided by i*((-2)/4 + 6/(-12)).
5
Suppose 4*j - 156 = -4*f, 6*f = 7*f + 5*j - 47. Suppose -55 - 16 = -2*l - 3*v, 5*v - 137 = -4*l. Let s = l + -9. Calculate the remainder when f is divided by s.
18
Let l be ((-6)/(-5))/((-2)/(-10)). Let m = -834 + 817. Let g = l - m. What is the remainder when 45 is divided by g?
22
Suppose 0 = 45*f - 37*f - 1392. Let x = 251 - f. Calculate the remainder when 228 is divided by x.
74
Let w be (12/24)/(1/6) - -1. Suppose w*p + 6*d = 7*d + 2107, 0 = 4*p + 3*d - 2095. Calculate the remainder when p is divided by 44.
42
Suppose -5*f + 5*p = -1060, -p = 340*f - 338*f - 427. What is the remainder when f is divided by 113?
100
Let d = -724 + 746. Calculate the remainder when 690 is divided by d.
8
Let h = 4263 + -3744. Calculate the remainder when h is divided by 100.
19
Suppose -41*s - 37*s + 966924 = -15*s. What is the remainder when s is divided by 5?
3
Let a(j) = j**2 + j - 24. Let f be a(0). Let h be ((-4)/(-6))/(f/(-108)). Suppose 12*y = h*y + 855. Calculate the remainder when y is divided by 24.
23
Suppose -4*w - 123 = -5*w. Let s = 132 - w. What is the remainder when 22 is divided by s?
4
Let y be (0 - 2) + (-3 - (68 + -2)). Let j = -23 - y. Calculate the remainder when ((-16)/j)/((-2)/354) is divided by 30.
29
Suppose -2*f = -3*w, 5*f + 31 = -2*w - 7. Calculate the remainder when 83 is divided by (-6 - -30)*(15/f + 3).
11
Let t(c) = -25*c - 1516. Calculate the remainder when 1701 is divided by t(-83).
24
Let g = 12290 - 3249. What is the remainder when g is divided by 11?
10
Suppose 0 = 32*p - 28*p - 120. Let a be (-2*12)/(-3) - -1. Suppose -a*y + 12*y - 171 = 0. What is the remainder when y is divided by p?
27
Suppose -s = 2*i - 214, 3*i + 4*s - 471 = -155. Suppose 10*o = -i + 458. Calculate the remainder when (-4 + -49*2)*-1 is divided by o.
32
Suppose 4*u - 8*u = -4*r + 24, -5*r + 24 = -3*u. Suppose -5*n = -t + 57, 3*n - 42 = -r*t + 57. Calculate the remainder when 60 is divided by t.
23
Let v(x) = x**2 + 6*x - 31. Let o(a) = -a**2 - 19*a - 73. Let w be o(-6). Calculate the remainder when 117 is divided by v(w).
21
Let n = -117 - -212. Suppose -i - 6*o = -23 - 34, 2*o = 18. Calculate the remainder when n is divided by i.
2
Let l(n) = 3*n**2 + 22*n - 7. Suppose 2 = -3*m + 4*j - 22, -4*j = 0. What is the remainder when 51 is divided by l(m)?
6
Let y be -3 - (-2 + 1 + 0). Let z(n) = 2917*n - 122495. What is the remainder when z(42) is divided by 9 - 1*(y + 1)?
9
Let o(r) = 1. Let h(j) = 80*j + 12. Let u(y) = h(y) + 3*o(y). What is the remainder when u(4) is divided by 42?
41
Let s be ((-8)/14)/(6/(-21)). Suppose s*j = -j - 129. Let r = j - -49. What is the remainder when 16 is divided by r?
4
Suppose 301 = 15*o - 14. Let j = -120 + 126. Calculate the remainder when o is divided by j.
3
Suppose 0 = -11*l + 16*l + u - 847, -l - 3*u + 189 = 0. Calculate the remainder when 2854 is divided by l.
166
Suppose 5*x - 9*u + 6*u - 48 = 0, -3*x = -u - 32. Let m(w) = 10*w + 21. What is the remainder when m(5) is divided by x?
11
Let d(b) = -88 + 58*b**3 + 89 + 0*b - 9*b**3 + b + b**2 - 2*b**2. Calculate the remainder when 848 is divided by d(1).
48
Suppose -5*a = 4*c - 1066, -4*c - 3*a + 647 + 415 = 0. Let w = c - 195. What is the remainder when w is divided by 35?
34
Suppose 2*t + 8 = 4*t - 2*n, 0 = -2*t - n + 11. Suppose 2*u = t*f - 731 - 58, 2*f + u = 321. What is the remainder when f is divided by 18?
15
Suppose 35*g + 4672 = 36*g + 63*g. What is the remainder when 941 is divided by g?
65
Let s be ((-6)/9)/(2/(-21)). Suppose s*h - 2*h - 120 = 0. Suppose 0 = 6*j - 9*j + h. What is the remainder when 22 is divided by j?
6
Suppose 0 = -2*j - 4, -5*m - j + 118 = -5*j. Let z be (-13)/1*9*-20. Calculate the remainder when 47 is divided by z/198 - (-4)/m.
11
Let r(n) = -453*n + 5476. What is the remainder when 992 is divided by r(12)?
32
Let o = 29 - 16. Suppose 3*s + 40 = o*s. Suppose 3*d + 12 = 3*k, 8*d - s*d - 32 = -4*k. Calculate the remainder when 38 is divided by k.
2
Let h = 3117 + -3004. What is the remainder when 1127 is divided by h?
110
Let n be (0/(3/(1 + -4)))/(-1). Suppose n = -2*r - 4*d + 254, -29 + 153 = r + d. Let g = r - 79. What is the remainder when 167 is divided by g?
41
Suppose 0 = 2*r + 2*x + 139 - 15, -3*r - 178 = -5*x. Let y = -48 - r. Let u = -267 + 395. Calculate the remainder when u is divided by y.
11
Let r(k) = 7*k**2 + 6*k + 5. Let p be r(-3). Suppose -u = 36 - p. Calculate the remainder when u is divided by 4.
2
Let m be 14/6 - 468/(-54). Suppose -4*u + 165 = m*u. Calculate the remainder when 450 is divided by u.
10
Let k(i) = 33332*i**3 - 28*i + 12 - 13*i**2 - 33331*i**3 + 32. What is the remainder when k(15) is divided by 11?
8
Let h(w) = -36*w**3 - w**2 + w + 1. Suppose -2 - 6 = -4*j, 4*q + 2*j - 8 = 0. Let f be -2 + (2 + 2 - 3)*q. Calculate the remainder when 103 is divided by h(f).
33
Suppose 5*m - y - 55 = 0, -21*y = -3*m - 16*y + 33. Let a = 16 + -14. Suppose -a*u = -4*u + 108. What is the remainder when u is divided by m?
10
Let x(t) = -2*t**2 - 14*t - 1. Let w be x(-7). Calculate the remainder when w + (-37)/(-2) + (-20)/(-40) is divided by 10.
8
Let u = -27 + 40. Suppose u = -5*f + 3. What is the remainder when 114 is divided by (f/2*60)/(-2)?
24
Let n(c) = 2*c**2 + 21*c + 30. Let r be n(-9). Suppose -706 = r*d - 3640. What is the remainder when d is divided by 70?
68
Let s(i) = -i**3 - 7*i**2 - 2*i + 9. Let x be s(-6). Calculate the remainder when (-1)/((-2)/(88 + -2)) is divided by x*8/(-6) - 5.
13
Let q(a) = 2*a**2 - 21*a + 15. Let r be q(14). Suppose -r = -g - 2. Calculate the remainder when g is divided by 38.
35
Let l(r) = -r**3 - 26*r**2 + 25*r - 25. Let x = -58 - -31. What is the remainder when 103 is divided by l(x)?
16
Let t = 4813 - 4783. What is the remainder when 46 is divided by t?
16
Let b = 13458 - 11619. What is the remainder when b is divided by 602?
33
Let r(c) = 3*c**3 + 11*c**2 + 8*c + 10. Let n be r(-3). Suppose n*w + 5*p = 98, -2*p = -5*p + 6. What is the remainder when 35 is divided by w?
13
Suppose 3*k - 673*g - 133 = -668*g, k = g + 43. What is the remainder when 297 is divided by k?
10
Suppose 0 = -3*j + 3*x + 2 + 1, -3*j - 2*x + 23 = 0. Suppose 0*k - 925 = -j*k.