uppose 5*s + 4*y + 5 = 0, 0*y - 4*y = -2*s + 26. What is the remainder when m is divided by s?
1
Suppose -g - 117 = 3*g - 5*c, -2*g - 3*c - 75 = 0. Let p = g - -65. Calculate the remainder when p is divided by 12.
8
Let x(q) = 9*q**2 + 5*q + 2. Suppose -7*i - 12 - 2 = 0. Calculate the remainder when x(i) is divided by 10.
8
Suppose -5*g = 3 - 18. Let w(o) = 2*o + 11. Let b be w(-9). Let h = 0 - b. What is the remainder when h is divided by g?
1
Suppose -9*z + 6413 = 2*z. Calculate the remainder when z is divided by 9.
7
Suppose 0 = 2*l - 4*l + 4. Suppose -4*x = -l*x - 14. What is the remainder when 46 is divided by x?
4
Suppose 4*l + 156 = -0*l. Let c = 5 - l. Suppose -b - c = -5*b. Calculate the remainder when 21 is divided by b.
10
Let m = 98 + -96. Suppose -26 = -4*f - m. Suppose -20 = 5*t, 2*z - 3*t - 68 = -0*z. What is the remainder when z is divided by f?
4
Let v(b) = -b**3 - 2*b**2 + b - 2 + 0*b**2 - 2*b. What is the remainder when v(-4) is divided by 4 + 60/15 - (-2 + 1)?
7
Let y be (-11)/(-2) + (-30)/20. Suppose 5 = -y*a + 5*a. Suppose 2*n + 13 = a*u + 33, 0 = -3*n + 5*u + 30. What is the remainder when 19 is divided by n?
9
Suppose -j - 9 = -113. Let x = 148 - j. Calculate the remainder when x is divided by 12.
8
Let n(h) = -7*h + 19. Let b be n(11). What is the remainder when -2 - (b - (-4 - 0)) is divided by 18?
16
Let m(q) = q**2 + 7*q - 19. Let l be m(-10). Let a(g) = g**2 - 12*g - 9. Let j be a(l). Calculate the remainder when (-3)/((-24)/j)*-36 is divided by 31.
28
Let i = 479 - 363. Calculate the remainder when i is divided by 39.
38
Let b(m) = 5*m - 1. Suppose -128*i + 95*i + 66 = 0. What is the remainder when b(1) is divided by i?
0
Let b(t) = -28*t + 1. Let c = 117 - 109. Calculate the remainder when b(-1) is divided by c.
5
Suppose 2*g - 117 = -123, -5*u = -2*g + 139. Let c = 11 - 35. Let l = c - u. Calculate the remainder when 24 is divided by l.
4
Suppose 4*w = -4*m - 8, -m = -4*w - w - 40. Let j be (-6)/21 + 5/w. What is the remainder when 1 is divided by ((-12)/12)/(j + 0)?
0
Let x be 3 + -6 + 1 + 248. Calculate the remainder when (x/(-10))/(6/(-30)) is divided by 31.
30
Suppose 9*z = -2*r + 6*z + 454, 3*r + 3*z - 684 = 0. Calculate the remainder when r is divided by 48.
38
Suppose -9*i + 5269 + 302 = 0. What is the remainder when i is divided by 20?
19
Suppose 5*d + 4*m = 3*m + 16, -d + 5*m - 2 = 0. Suppose t + 6 = 4*h, 3*h - 21 = -d*t + 2*h. Calculate the remainder when 8 is divided by t.
2
Let h be 6/((-25)/(-90) - 6/27). What is the remainder when ((-6399)/h)/(3/(-8)) is divided by 54?
50
Let u be (6/4)/(15/(-30)). Suppose 0 = 3*p - 5*f - 93, 3*p - 3*f + 5*f = 93. Calculate the remainder when 6/9 - 268/u is divided by p.
28
Suppose 68*y = 59*y - 135. Let f = y - -49. Calculate the remainder when 36 is divided by f.
2
Let y be 2/(-4)*(-1 + 9). Let j = 1 - y. Suppose -j*v - 2 - 18 = 0, -v + 31 = 5*n. What is the remainder when 11 is divided by n?
4
Let r = -435 + 465. Calculate the remainder when r is divided by -1 + 1 + 8 - 0.
6
Let p(b) = 2*b**2 - 28*b + 19. Suppose 5*j + 4*c - 66 = 0, c = -2*j + 17 + 10. What is the remainder when p(j) is divided by 11?
8
Suppose 0 = 4*t + 3*g - 4*g - 353, -4*g = -3*t + 255. Calculate the remainder when t is divided by 24.
17
Let c = -945 + 1026. What is the remainder when c is divided by 14?
11
Let d = -72 + 49. Let v = d + 72. Calculate the remainder when v is divided by 14.
7
Let a(p) be the second derivative of p**3/2 - p**2 + 11*p. Let x be a(-2). Let h = 40 - x. What is the remainder when h is divided by 13?
9
Suppose -4*i = -5*i + a + 87, 2*i = -5*a + 195. Calculate the remainder when 107 is divided by 10/75 + (-3)/i*-566.
12
Suppose 0 = 2*l + 2*l - 132. Let d = -114 - -119. Calculate the remainder when l is divided by d.
3
Let b = 165 - 110. What is the remainder when ((-8)/2)/(-4) + 162 is divided by b?
53
Suppose 722*h = 740*h - 666. What is the remainder when 77 is divided by h?
3
Suppose -5*q - 46 = -3*c, -4*c + 4*q = -26 - 46. Calculate the remainder when 2/(-4) - (-166)/4 is divided by c.
19
Let v(j) = -j**2 + 35*j + 515. Suppose 76 + 9 = 5*d. Calculate the remainder when d is divided by v(-11).
8
Let w(s) = -5*s + 49. Let k = 148 - 104. Calculate the remainder when k is divided by w(8).
8
Suppose 0*z = -5*z + 110. Let q = 50 - 32. What is the remainder when z is divided by (30/(-45))/((-2)/q)?
4
Let d be -3 + 9347/91 + (-4)/(-14). Suppose 2*u - d = -r, u + 3*r - 36 = 6*r. What is the remainder when u is divided by 13?
9
Suppose -394 + 144 = -5*n. Suppose n*i - 470 = 45*i. Calculate the remainder when i is divided by 25.
19
Let x = -1751 + 3622. What is the remainder when x is divided by 8?
7
Let i be 3*(4 + -3)/(2 + -1). Suppose i*h - 55 = 3*t - 2*t, -h - 3*t = -5. Calculate the remainder when h is divided by 5.
2
Let f(o) = -o**3 - 8*o**2 + 12*o + 9. Let c be f(-9). Let s = -15 - c. Suppose 3*x = 1 + 8. Calculate the remainder when x is divided by s.
0
Let z(w) = -4*w + 7. Let k = 408 - 403. Calculate the remainder when z(-3) is divided by k.
4
Let b = 111 + -76. What is the remainder when b is divided by (6/(-4))/(24/(-144))?
8
Suppose 3*m - 450 = -2*p + 5*p, 4*p - 8 = 0. What is the remainder when m is divided by 7?
5
Suppose -2*v + 6*v - 112 = -4*d, 2*v + 5*d = 47. Calculate the remainder when v is divided by 5.
1
Suppose -5*i = 2*o + 2*o - 91, 3*o - 4*i - 45 = 0. Suppose -3*u + o = 4*v + 3, 0 = u - 2*v - 12. What is the remainder when 62 is divided by u?
6
Suppose 103 = 3*u + 2*i, 5*u + 5*i - 2*i = 173. Suppose -u - 78 = -5*h. Calculate the remainder when 44 is divided by h.
21
Suppose -3*g + 5*t + 31 + 20 = 0, 0 = 4*g + 4*t - 68. Let a(i) = -970*i + 1973. Calculate the remainder when a(2) is divided by g.
16
Suppose 8*x + 5*l = 5*x + 189, -126 = -2*x + 4*l. What is the remainder when 180 is divided by x?
54
Let g(d) = 181*d**2 - 3*d + 5. What is the remainder when g(1) is divided by 27?
21
Let o be 1 - (-1 - -2) - (-70 + -7). Suppose 4*t + o = 5*i, 4*i - 53 = -i - 4*t. What is the remainder when -4*1 + 1 + 53 is divided by i?
11
Suppose 0 = -u + 2*h + 1, 4*u = -0*u + 4*h - 4. Calculate the remainder when 105 is divided by (-1 - (u - 1))*9.
24
Let c = -1579 - -1769. What is the remainder when c is divided by 35?
15
Let h be 3/5 - (-426)/(-10). Let g be (-28)/h*(-2 + -1). Let j(b) = -2*b**3 + b**2 + 2*b + 1. Calculate the remainder when j(g) is divided by 6.
5
Let j(l) = l**2 + 20. Let x(m) = m**3 - 11*m**2 - 15*m + 10. Let w be x(12). Let v = w - -33. Calculate the remainder when j(0) is divided by v.
6
Suppose -5 - 37 = -m. Let d = -27 + m. Calculate the remainder when d is divided by 5.
0
Let c = 166 - 5. Let d = c + -139. Calculate the remainder when 65 is divided by d.
21
Let r(c) = -3 - 2*c**2 - 29*c + 64*c - c**3 - 33*c + 11. What is the remainder when 79 is divided by r(0)?
7
Let x(h) = 4*h**3 + 17*h**2 + 13*h + 19. Let w(u) = u**3 + 6*u**2 + 4*u + 6. Let i(n) = 7*w(n) - 2*x(n). Calculate the remainder when 36 is divided by i(8).
16
Let g be (1 - -1)/(2/15*3). Suppose -g*d - 230 = -5*h, h + 0*d + d - 42 = 0. Calculate the remainder when h is divided by 4.
0
Let i = 334 + -323. Calculate the remainder when 20 is divided by i.
9
Let i be ((-6)/(-8))/((-2)/48). Let u = 21 + i. Calculate the remainder when 14 is divided by u.
2
Let r(o) = o. Let k(m) = -5*m - 7. Let i(q) = k(q) + 3*r(q). Let f be i(-10). Let v = f - -13. What is the remainder when 101 is divided by v?
23
Let d = -71 + 86. What is the remainder when ((-55)/d + 3)*-24 is divided by 7?
2
Let l(i) = 7*i**2 - 3*i - 2. Let y = -47 + 29. Calculate the remainder when l(3) is divided by (81/15)/(y/(-60)).
16
Let x = -41 + 43. Suppose -79 = -3*q + x*q. Calculate the remainder when q is divided by 17.
11
Suppose -187*g - 488 = -195*g. Calculate the remainder when 237 is divided by g.
54
Suppose -754*r + 778*r = 912. What is the remainder when 68 is divided by r?
30
Let i be (-60)/(-16)*(-8)/(-3). Let w = i - 4. Suppose 3*v + 1 = 10. What is the remainder when w is divided by v?
0
Let g = -33 + 44. Suppose 5*q - 3*a + 9 = 64, -q - a + g = 0. Let c(u) = 5*u - 9. Calculate the remainder when c(6) is divided by q.
10
Let p be ((-48)/(-32))/((-6)/452). Let r = p - -138. Calculate the remainder when 45 