 -6 + 8, -4*o - 64 = -5*r. Calculate the remainder when 107 is divided by r.
11
Suppose 0*a - 5*u = 3*a + 11, -2*u + 7 = 5*a. Suppose 0 = 6*m - a*m - 12. Suppose -m*j - 9 + 25 = 0. Calculate the remainder when 9 is divided by j.
1
Let j(s) = -9*s**3 + s**2 - 2. Let a(w) = -86*w + 622. What is the remainder when j(-2) is divided by a(7)?
14
Suppose -5*x = -3*z + 393 + 132, -735 = -4*z - 5*x. Suppose -t = 44 - z. Calculate the remainder when 14 is divided by t/22 + (-4)/22.
2
Suppose -1718*b = -1721*b + 48. Calculate the remainder when 380 is divided by b.
12
Suppose -r = -3*r + 6. Suppose -n = r*n - 64. What is the remainder when n is divided by -6*(-3)/2 - 0?
7
Suppose -7*v = -4*v - 6. Suppose -2*k - v*k + 68 = -c, -4*c - 32 = -k. Calculate the remainder when 63 is divided by k.
15
Suppose -30*q = -29*q - 14. Suppose 54 = 6*w - 0*w. What is the remainder when w + -5 + 63/3 is divided by q?
11
What is the remainder when 52 is divided by ((-16)/(-10))/((-20)/(-300))?
4
Let v be -4 - (-1 + 2 + -40). Suppose 0 = -3*g + v + 55. Let j(h) = h**2 + h - 1. Calculate the remainder when g is divided by j(3).
8
Let k(h) = -9*h + 8. Calculate the remainder when 31 is divided by k(-1).
14
Suppose -27*b = -282 - 258. Calculate the remainder when 114 is divided by b.
14
Let t(x) = -x**3 - 13*x**2 - 12*x + 5. Let y be t(-12). Suppose -4*g - y*l + 165 = 0, -3*g + 8*g - 170 = l. Calculate the remainder when 103 is divided by g.
33
Suppose 30 = -2*k + 8*k. Let s(u) = u**3 - 5*u**2 + 3*u + 2. Calculate the remainder when 47 is divided by s(k).
13
Suppose 3*w - 2*a + 109 = -0*a, -5*w = 5*a + 140. Let b = w - -39. Let i(n) = -n**2 + 7*n + 3. What is the remainder when i(4) is divided by b?
3
Suppose 0*b - 10 = -2*b - x, 6 = 4*b - 5*x. Suppose -b*f + 5*w + 173 + 98 = 0, 3*f + w = 189. Calculate the remainder when f is divided by 33.
31
Suppose 0 = -f + 5*j + 57, 0 = 6*f - f - 4*j - 306. Calculate the remainder when f is divided by 16.
14
Suppose 451*k = 448*k + 84. What is the remainder when 272 is divided by k?
20
Suppose 18 = 4*v + 3*c - 108, 3*v + c - 92 = 0. What is the remainder when 62 is divided by v?
2
Calculate the remainder when (-33307)/(-114) - -2*(-2)/24 is divided by 59.
56
Let d(s) = -s**2 + 4*s + 5. Let j(w) = w + 11. Let c be j(-9). Suppose 2 = i - c. What is the remainder when d(i) is divided by 2?
1
Let b(a) = 20*a - 4. Calculate the remainder when b(6) is divided by 30.
26
Let z(f) = -7*f**2 - 3*f - 3. Let i be z(-2). Let s = 42 + i. Let a = s + -14. What is the remainder when 6 is divided by a?
0
Let w = -2925 - -4111. Suppose 0 = 4*y - w - 126. Suppose -5*u + y = -22. What is the remainder when u is divided by 24?
22
Let j = 157 - -27. Suppose 0 = -6*s + 255 + 117. Calculate the remainder when j is divided by s.
60
Let z(s) = s**3 + 2*s**2 - 7*s - 5. Let f be z(-4). Let l be (6/f)/(1/(-6)). Let q(k) = k**2 - 2*k + 2. Calculate the remainder when 27 is divided by q(l).
7
Let i = 78 + -38. Let h = 70 - i. Suppose 0 = 3*b - 27 - 6. What is the remainder when h is divided by b?
8
Let s = -15 - 4. Let h be -5*(3 + s/5). Suppose -h*k = 3*r - 15, -20 = -5*r + r - 4*k. What is the remainder when 8 is divided by r?
3
Let i = 70 + -58. Calculate the remainder when ((-6)/(-4))/((-4)/(-152)) is divided by i.
9
Let v(k) = k + 18. Calculate the remainder when 20 is divided by v(-10).
4
What is the remainder when (116/87)/(10/1305) is divided by 10?
4
Let s = -16 + 69. Calculate the remainder when s is divided by 42.
11
Suppose l - 2 = 21. Let r(o) = o**2 + 46*o + 79. Calculate the remainder when r(-45) is divided by l.
11
Let t(m) = 16*m**3 + m**2 + 2*m - 2. Let y(z) = -z**3 - 4*z**2 + 1. Let w be y(-4). Calculate the remainder when 81 is divided by t(w).
13
Suppose -2*a - 2*r = -4*a + 272, 4*r + 276 = 2*a. Calculate the remainder when (-5 + 4)/(-1) + a is divided by 34.
33
Let w be 3/((-9)/(-12))*1. Suppose 44 = w*c + 3*p, 3*c + p - 6*p = 62. What is the remainder when c is divided by 9?
5
Suppose 0 = 4*n - 7*n + 9, -4*n + 21 = -3*o. Let t(w) = -2*w**3 - 7*w**2 + w + 3. Calculate the remainder when t(-5) is divided by ((-126)/(-4) + o)/3*2.
16
Let z be (-24 - -22) + 0 + 294/(-2). Let v = z + 158. What is the remainder when v is divided by -2*(-3)/2 + 1?
1
Suppose c = -8*c + 8253. Let t = c + -650. What is the remainder when t is divided by 27?
24
Suppose 0*v + 148 = 4*v. Suppose -2397*t = -2375*t - 4048. What is the remainder when t is divided by v?
36
Suppose 0 = 4*h + 11 + 1. What is the remainder when (1674/24 - 1/(-4)) + h is divided by 34?
33
Suppose -65*c + 52*c = -351. Calculate the remainder when 158 is divided by c.
23
Let o be (-4)/2 + (-2 - -4). Suppose o*y + 18 = y. What is the remainder when (99/3 - 5) + 5 is divided by y?
15
Suppose 10 = y - 2*w, 3*y - 5*w + 45 = 4*y. Suppose 4*i + 34 = 5*i. Let s = i - y. Calculate the remainder when s is divided by 8.
6
Let k = -281 + 312. What is the remainder when 184 is divided by k?
29
Suppose 0 = 4*k + 5*c - 21 - 0, 0 = 3*k - 3*c + 18. Let o(z) = 4*z**2 - 2*z. What is the remainder when o(k) is divided by 3?
0
Suppose -x + 53 = 3*x + 5*a, 2*x + 3*a - 29 = 0. Suppose -g = g - 4. Suppose 3*s - g*b - 69 = -5*b, -5*b + 15 = 0. What is the remainder when s is divided by x?
6
Suppose 12*r - 135 = 11*r. Calculate the remainder when r is divided by 68.
67
Let f be 30/(-20) + (-2)/(-4). Let b(k) = 9*k**2 - k. What is the remainder when 13/(117/6)*(1 - -56) is divided by b(f)?
8
Suppose -1 = -5*g - 31. Let j = g - -23. Calculate the remainder when j is divided by (-1)/(6/(-72)*2).
5
Suppose 2*g = -g + 6. Suppose -3*d = g*y - 7*y - 66, d - 3*y = 18. Calculate the remainder when d is divided by 6.
3
Let v(w) = -w + 56. Let u be v(27). Suppose -12*p + u = -11*p. What is the remainder when 113 is divided by p?
26
Let g(s) = -15*s**3 - 3*s**2 - 4*s - 3. Let k be g(-2). Suppose 2*a + 0*a - 124 = 0. Suppose k = 5*w - a. What is the remainder when w is divided by 9?
8
Let x(v) = 3*v**2 + 16*v - 20. Calculate the remainder when x(-9) is divided by 28.
23
Let t(n) be the second derivative of -13*n**3/6 + n**2 - 9*n. Let i be t(-4). Let q = 81 - i. Calculate the remainder when 80 is divided by q.
26
Suppose 0 = -3*s + 5*w - 175, 179 = -3*s - w + 2*w. Calculate the remainder when 47 is divided by ((-64)/(-6))/(-6 + s/(-9)).
15
Suppose -16*b + 19*b = 669. What is the remainder when b is divided by 16?
15
Let t = -544 - -566. Calculate the remainder when 148 is divided by t.
16
Let i(o) = o**2 + 3*o - 4. Let u(z) = -2*z**2 - 33*z - 113. Calculate the remainder when i(-7) is divided by u(-6).
11
Let p(l) = -l**3 + 9*l**2 - 15*l + 1. Calculate the remainder when 35 + (2 + 0 - 1) is divided by p(6).
17
Let f = -13 - -9. Suppose 2*n + 46 = 4*r, -3*n = 2 + 1. Calculate the remainder when (f/3)/((-4)/126) is divided by r.
9
Let t be 2828/7*(-1)/(-2). What is the remainder when (-256)/(-12) + 1/(-3) is divided by t/18 + (-2)/9?
10
Suppose -305 = -8*f + 3*f. Suppose 6 = m - 10. What is the remainder when f is divided by m?
13
Let h = 4 - -1. Let d = 15 - h. Suppose -4*f = -0*f - 72. What is the remainder when f is divided by d?
8
Calculate the remainder when (-44 + 63)*(7 - -2*1) is divided by 9.
0
Let i be (-111)/(-3) + -2 + -1. Let a = -25 + i. What is the remainder when 34 is divided by a?
7
Let g(m) = -m**2 + 47*m - 162. Calculate the remainder when 99 is divided by g(43).
9
Suppose -d = -35 - 23. Suppose -6*r - 96 = -216. What is the remainder when d is divided by r?
18
Suppose -76*n + 512 = -60*n. What is the remainder when 49 is divided by n?
17
Suppose 3*w + 148 = 4*w + 2*m, 0 = 2*w + m - 311. What is the remainder when w is divided by 41?
35
Suppose 0 = 2*x - 9 - 3. Let f be (x/8)/(2/56). Suppose -4*j = -5*s + 3 - f, 4 = -2*j - 4*s. Calculate the remainder when 6 is divided by j.
0
Let u = 11 - 3. Let w = u + -110. What is the remainder when 50 is divided by (3/(-9))/(2/w)?
16
Suppose -10*v - 78 = -16*v. Suppose 6 = -2*u - 4*x - 4, -x = -3*u + v. Calculate the remainder when 15 is divided by u.
0
Let q = -29 + 36. Suppose -8*y + q*y = -15. What is the remainder when y is divided by 9?
6
Let a be 32/(-6) - (-12)/36. Let j(m) = -3*m + 2. Calculate the remainder when 66 is divided by j(a).
15
Let t = 108 + -51. Suppose -4*k 