7
Calculate the remainder when (-18)/(-12) - (-1122)/12 is divided by 54.
41
Suppose 2*w = w - 3*t + 204, 2*w + 4*t - 406 = 0. Suppose 5*s + w = -94. Let n = -17 - s. What is the remainder when n is divided by 11?
9
Let r(f) = -15*f - 1. Let c be 1*(-3 + 0) - -7. Calculate the remainder when (-1)/(c/(-156)) + 1 is divided by r(-1).
12
Suppose 2*v - 21 - 5 = 0. Calculate the remainder when 11*90/594*18 is divided by v.
4
Suppose 27*c + 132 = 33*c. Calculate the remainder when 25 is divided by c.
3
Suppose -5 - 15 = -c + q, 3*q = 0. Suppose 0 = -4*f - o + 28, 4*o = -3*f + 2*o + 26. What is the remainder when c is divided by f?
2
Let x = 88 - 88. Let h be 2/(-5) - 201/(-15). Let c = h + x. What is the remainder when 48 is divided by c?
9
Let h be (-105)/7*3/5. Let z be h/(-36)*(1 - -3). Suppose 5*b = -l + 15, 2*b + 2*l = -z + 7. Calculate the remainder when 9 is divided by b.
0
Suppose -8*m = -468 - 188. Calculate the remainder when m is divided by 35.
12
Suppose 0 = -5*u + 4*x + 252, 148*u - 152*u - 2*x = -186. Calculate the remainder when 92 is divided by u.
44
Let o = 155 + -3. What is the remainder when o is divided by (8 - (-290)/(-40))/(2/104)?
35
Suppose 0 = 5*z - 21 + 1. Let q be ((-2)/4)/(15/(-150)). Suppose -37 - 9 = -z*w + y, 2*w - 34 = -q*y. Calculate the remainder when 32 is divided by w.
8
Calculate the remainder when ((-56)/20)/((-4)/140) is divided by 51.
47
Let i(k) = -6*k + 12. Let p be i(4). Let l = -2 - p. What is the remainder when l is divided by 5?
0
Suppose 8*w + 113 = i + 5*w, -5*w - 224 = -2*i. What is the remainder when i is divided by 11?
8
Suppose -2*n - 10 + 40 = 0. Suppose -4*k - n = 17. What is the remainder when k/14 + 468/84 is divided by 4?
1
Suppose m - 2 = 2*m, -3*r + 4*m + 569 = 0. Calculate the remainder when r is divided by 61.
4
Let g(n) = -n**3 + 32*n**2 - 56*n - 91. What is the remainder when g(30) is divided by -10*1/(1/(-1))?
9
Suppose 0 = 50*a - 61*a + 473. Suppose -4*q - u = -62, -4*q + 5*u + 68 = 3*u. Calculate the remainder when a is divided by q.
11
Let n = -36 + 104. Suppose 3*q = 5*f - 0*f + n, 68 = 4*q - f. Calculate the remainder when 47 is divided by q.
15
Suppose 2*n + 8 = 2*m + 3*n, m - 5 = -n. Let i(w) = 24*w + 1. Calculate the remainder when i(m) is divided by 19.
16
Suppose -3*l = -4*l + 6. Suppose p = -2*p + l. Let t(n) = 2*n + 1. What is the remainder when t(2) is divided by p?
1
Let b(p) = -8*p. What is the remainder when (-1)/2 - 1/(12/(-2286)) is divided by b(-4)?
30
Suppose -120 = -72*d + 52*d. What is the remainder when 49 is divided by d?
1
Suppose 71 = 2*j + 5*s, 69 = 3*j + 4*s - 41. Suppose 0*u - j = -2*b + u, 2*b - 40 = 2*u. What is the remainder when (-2 - -6) + 93/3 + -3 is divided by b?
14
Let z(l) = -l + 13. Let w be z(10). What is the remainder when w*(2 - (-352)/12) is divided by 16?
14
Let o(i) be the first derivative of -i**4/4 - 7*i**3/3 + 13*i**2/2 + 3*i - 29. What is the remainder when o(-9) is divided by 25?
23
Let a(q) = 9*q**2 + 1. Suppose -5*t - 22 = -g, 136 = 4*g - 5*t + t. Calculate the remainder when g is divided by a(-1).
7
Let t = -245 + 694. What is the remainder when t is divided by 22?
9
Let b(j) = -9*j + 5*j + 5*j - 4*j + 50. Calculate the remainder when 6 is divided by b(16).
0
Let y = 2931 + -2894. Calculate the remainder when 1403 is divided by y.
34
Suppose 0 = l - 2*l. Suppose 0 = -4*o - l + 8. Suppose o = -r + 5. Calculate the remainder when 6 is divided by r.
0
Let v = -389 + 413. Calculate the remainder when 50 is divided by v.
2
Suppose -49*q + 688 = -6*q. What is the remainder when 67 is divided by q?
3
Let l = 18 - 13. Suppose 4*o - 3*o + 3*n = 12, -2*n = 3*o - 8. Suppose o = -29*i + 26*i + 21. Calculate the remainder when i is divided by l.
2
Let o = -28 + 32. Let x(c) = -c + 5. Let q be x(o). Suppose 3*f = -r - 0 - q, r = -5*f - 7. Calculate the remainder when 22 is divided by r.
6
Let d(r) = r**2 - 12*r - 9. Let w be d(13). Suppose 4*t - 47 = -5*f, w*t - 5*f - 17 = -0*f. Let b = -40 + 71. Calculate the remainder when b is divided by t.
7
What is the remainder when (-12)/66 - (-712)/44 is divided by 7?
2
Suppose 4*w - 60 = 5*m, -w - 2*m = -49 + 21. Calculate the remainder when 94 is divided by w.
14
Let k = 19 - 15. Suppose 2*j + 0 - k = 0. Let y = j + 86. Calculate the remainder when y is divided by 30.
28
Suppose -5*w - l = l + 56, -5*w = -3*l + 41. Calculate the remainder when (-2)/4 - (-505)/10 is divided by (0 + 1)/(w/(-170)).
16
Suppose 4*v = -3*r, -4*r = v - 0*r. Suppose v = -b + 47 - 8. Calculate the remainder when b is divided by 21.
18
Let x(r) = -r**2 - 40*r - 83. Calculate the remainder when x(-30) is divided by 76.
65
Suppose 215 = 3*x + x + 3*j, -4*j + 100 = 2*x. Suppose 0 = -d - 3*d + x. Calculate the remainder when ((-4080)/(-25))/4 - (-12 + (-704)/(-55)) is divided by d.
12
Let v(w) = w + 100. Suppose 0 = 2*k - 4*y + 76, -6*k = -2*k - y + 138. Let r = 34 + k. Calculate the remainder when v(r) is divided by 26.
22
What is the remainder when 9432/84 + -6 - (-4)/(-14) is divided by 23?
14
Let d be 2 - 4 - 5/(-1). Suppose 0 = -c + d*v + 36, 3*c - 63 = -2*v + 23. What is the remainder when c is divided by -2 - ((-12)/4 + -15)?
14
Suppose 3*r - 5*l = r + 72, 5*l + 124 = 4*r. Calculate the remainder when 107 is divided by r.
3
Let n(p) = p**3 + 4*p**2 - 6*p + 5. Let h be n(-5). Calculate the remainder when 139 is divided by 6*5/h - -32.
34
Let l = 67 + -53. What is the remainder when 40 is divided by l?
12
Suppose 3*i - 289 = 2*a, -13*i + 12*i - a = -103. Calculate the remainder when i is divided by 24.
3
Let c be 3/1 + 384/2. Suppose c + 25 = 4*g. Let i = -24 - -52. Calculate the remainder when g is divided by i.
27
Suppose 0 = 5*o - 2*g - 185, 3*o = -0*g - g + 111. What is the remainder when 146 is divided by o?
35
Suppose -4*b = 5*s, -5*s - 5*b = -6*s + 29. Calculate the remainder when s is divided by 3.
1
Suppose v - 2*j - 4 = -0*v, -2*j - 4 = v. Let n(u) = -2*u**2 - 2*u + 26. What is the remainder when n(v) is divided by 6?
2
Suppose -10 = -q + h, -4*q + 3*h = -2*h - 35. Calculate the remainder when ((-40)/q - -2)/((-2)/69) is divided by 3.
2
Let g(r) = -27*r + 38. Let w = 25 - -4. Calculate the remainder when w is divided by g(1).
7
What is the remainder when 42 is divided by -39*(-4 - -3)*(-8)/(-12)?
16
Let b = 20 - 18. Suppose -20 = -4*m + 4*a, 3*m - a - 6 = m. Suppose -m = b*d - 39. Calculate the remainder when 75 is divided by d.
18
Suppose -53 = -2*q + 5*x, -2*q - 3 + 35 = 2*x. Calculate the remainder when q is divided by 8.
3
Suppose -115 = -4*o + 3*x, -4*o = -5*o - x + 27. What is the remainder when (7/(o/3))/(1/120) is divided by 23?
21
Calculate the remainder when ((-6)/4)/(-6*5/15020) is divided by 26.
23
Let x = 129 - 6. What is the remainder when x is divided by 25?
23
Let b(j) be the second derivative of -j**3/6 + 33*j**2/2 + 28*j. What is the remainder when b(0) is divided by 4?
1
Calculate the remainder when 47 is divided by (-7)/(-1) - 3 - (-2 + -2).
7
Calculate the remainder when (-2)/17 + ((-14290)/(-85) - 8) is divided by 55.
50
Suppose 2*d - r - 282 = 0, 31*d + r = 28*d + 418. What is the remainder when d is divided by 11?
8
Suppose d - 12 + 0 = 0. Let a be (-1)/(d/9)*-164. Let i = a + -69. What is the remainder when i is divided by 8?
6
Suppose 3*r + 0*r - 336 = 0. Suppose 56 = 2*a + 2*u - 6*u, 87 = 3*a - 3*u. What is the remainder when r is divided by a?
22
Suppose a - 39 = -2*x, 0 = 5*a + 3*x - 89 - 92. Suppose 0 = 12*r - 8*r - 52. Calculate the remainder when a is divided by r.
9
Let g be (26/(-4))/((-5)/(-10)). Let w be (-402)/15 - (-4)/(-20). Let o = g - w. Calculate the remainder when o is divided by 9.
5
Suppose -1187*a = -1199*a + 456. Let n = -5 - -20. What is the remainder when a is divided by n?
8
Let n(s) = 2*s + 9. Let f be n(5). Let v = f - 2. Calculate the remainder when v is divided by 6.
5
Let r = -660 - -747. Calculate the remainder when r is divided by 30.
27
Let k be (-4 - (0 + -4)) + -41. Let b = -27 - k. Let z = 45 + -19. What is the remainder when z is divided by b?
12
Suppose -2*y = 4*b - 38, -y = -2*b + y + 34. Let m = b + -7. Suppose 5*t - 3*i = 29, -2*i - i = t + m. What is the remainder when 31 is divided by t?
3
Suppose -5*s = 3*c + 14, 4*c - 10 = 2*s + 6. Suppose c = 5*