09. Calculate the remainder when k is divided by 28.
19
Let d(p) = -p**3 - 6*p**2 - 9*p - 16. Let k be d(-5). Suppose -131 = -h + 5*q, h - 4*q = -k*h + 571. Calculate the remainder when h is divided by 23.
19
Let b(a) = -2*a + 2. Let t be b(-2). Suppose t*z - 11*z + 75 = 0. What is the remainder when z is divided by (-4)/(-12)*9 - -5?
7
Suppose u - 6*u + 140 = 0. Suppose -l = 7*l - 24. Suppose 23 + 217 = l*d. What is the remainder when d is divided by u?
24
Let x(w) = -8*w**2 - 1 - 3*w - 5 - 5 + 1 - w**3. What is the remainder when 39 is divided by x(-8)?
11
Let u = 33 - 33. Suppose u*w + 4*w + 60 = 5*o, 25 = 5*o + 3*w. Calculate the remainder when o is divided by 6.
2
Suppose 0 = 15*u - 12*u - 90. Calculate the remainder when 179 is divided by u.
29
Let p be (-1)/3*0*1. Suppose -5*w + 45 = -p*w. Calculate the remainder when 12 + (1 - 6 - -9) is divided by w.
7
Suppose -3*s - 2*w + 20 = 0, s - 92*w = -91*w + 5. Calculate the remainder when 166 is divided by s.
4
Let n(o) = -o**3 - o**2 - 6*o - 39. Calculate the remainder when n(-5) is divided by 23.
22
Let m(o) = -4*o**2 + 4*o + 8*o**2 + 3 + 5*o**2. Let r be m(-2). Suppose -4*z + 55 = 5*s, -4*z - s + r = -12. Calculate the remainder when 19 is divided by z.
9
Suppose 2*g + 8 = 6*g. Suppose g*c - c = 10. What is the remainder when 48 is divided by (5/c)/(2/68)?
14
Let d = -43 - -33. Let f = 20 - d. What is the remainder when f is divided by 11?
8
Suppose 0 = r + 30 - 57. Let v = 13 + r. Calculate the remainder when 118 is divided by v.
38
Suppose -208 = -22*i + 12. What is the remainder when 17 is divided by i?
7
Suppose 4*x + 5 = 109. Suppose -x = -5*v - 1. Suppose -4*q + 3*i - 32 = -v*q, 54 = 2*q + 4*i. Calculate the remainder when q is divided by 9.
8
Suppose 3*w + 3*y = 2*y - 278, 172 = -2*w + 2*y. Let a = w - -129. Calculate the remainder when a is divided by 10.
8
Suppose -4*w + 3 = -w. Suppose 4*b - 13 = -w. Suppose -b*l = -t - 3, -3*t + 0 + 3 = 3*l. Calculate the remainder when l is divided by 1.
0
Suppose 3*c = -5*b - 84, -b - 5*c = b + 26. Let j = b + 34. Let r = j - 2. Calculate the remainder when 26 is divided by r.
12
Suppose 4*z - 15 = z, 5*y = z + 35. What is the remainder when 9 is divided by y?
1
Let c be 0/(-1 + 3) + -3 + 6. Let w(y) = 3*y**2 - 3*y - 1. Calculate the remainder when 48 is divided by w(c).
14
Suppose -39 = -x - 9. What is the remainder when 359 is divided by x?
29
Suppose l = 5*q - 1810, 144*q + 376 = 145*q - 3*l. What is the remainder when q is divided by 6?
1
Suppose g + 2*g = 2*f + 6, -2*f - 3*g = -6. Suppose -4*n - 5*y = -224, -y + 301 = -f*n + 5*n. Calculate the remainder when n is divided by 22.
17
Let j(b) = b**3 + 4*b**2 - 3*b - 5. Let w = -5 - -2. Suppose 5*a - 7 = 113. Calculate the remainder when a is divided by j(w).
11
Suppose -4*f + 5*f = 8. What is the remainder when (-346)/(-12) - 1/(-6) is divided by f?
5
Let z(t) = -t**2 - 23*t - 86. What is the remainder when 5 is divided by z(-18)?
1
Suppose 0 = 7*i + 3*q - 945, 4*q + 540 = 11*i - 7*i. What is the remainder when 659 is divided by i?
119
Let v be -72 - (5 + 4 + -4). Let i = 95 + v. Calculate the remainder when (-142)/2*(-1 + 0) is divided by i.
17
Let q(a) = a**3 + 9*a**2 + 20*a + 5. Let i be q(-9). Let w = -95 - i. Calculate the remainder when w is divided by 42.
38
Let o be 2 + 6/(-2)*-1. Suppose 3*g + 112 = 5*t + 3, 0 = 2*t + g - 37. Let y = t + o. Calculate the remainder when 49 is divided by y.
24
What is the remainder when 1054 is divided by 9/(90/980) + (-8)/4?
94
Suppose 6*g - 66 = -210. Let l = 20 - g. Calculate the remainder when l is divided by 24.
20
Calculate the remainder when (4/(-5)*(-21075)/(-30))/(-2) is divided by 16.
9
Let c(s) = 6*s**2 - 15*s + 21. What is the remainder when c(6) is divided by 19?
14
Suppose r + 4*w = -0*w - 64, 5*r - 4*w = -440. Let x = -82 - r. Suppose -2*d = 0, 2*j - j = -2*d + 6. Calculate the remainder when j is divided by x.
0
Let g = 3 - -30. Suppose -76*c + 67*c + 585 = 0. Calculate the remainder when c is divided by g.
32
Suppose -2 - 12 = -n + 3*q, 4*n - 4*q - 32 = 0. Calculate the remainder when 31 is divided by n.
1
Suppose -3*l = -4*i + 5*i - 27, -l = 3*i - 65. Suppose 3*n - i - 51 = 0. What is the remainder when 94 is divided by n?
22
Let z = 305 - 256. Calculate the remainder when 538 is divided by z.
48
Let j(n) = n**3 - 8*n**2 + 12*n + 20. Calculate the remainder when (-13 + 0)*-2*1 is divided by j(5).
1
Suppose i + 11 - 34 = 0. Let z = i - 39. Let b = 16 - z. Calculate the remainder when 61 is divided by b.
29
Let k(r) = -13*r + 106. What is the remainder when 491 is divided by k(5)?
40
Suppose -4*x - 11 = 5*w - 241, -2*x + 102 = -4*w. Let k(d) = 7*d + 50. Let y be k(-8). Calculate the remainder when x is divided by (-105)/(-10)*((-14)/y + -1).
13
Let c = -683 - -1716. Calculate the remainder when c is divided by 80.
73
Let m be (-6)/(-9) - 70/15 - -4. Suppose q + 1 - 2 = 0. Calculate the remainder when (m - (-40 + q))*1 is divided by 10.
9
Let b(h) = 8*h**2 - h + 18. What is the remainder when b(4) is divided by 12?
10
Let u = -109 + 495. Calculate the remainder when u is divided by 134.
118
Let z be 2081/11 + (13/(-11) - -1). Let x = z - 126. Let n(k) = k**3 - 3*k**2 - 7*k + 1. What is the remainder when x is divided by n(5)?
15
Let d = -154 + 160. Calculate the remainder when 46 is divided by d.
4
Let y = 1348 + -1061. Calculate the remainder when y is divided by 141.
5
Calculate the remainder when 163 is divided by ((-4)/(-8))/(-5*12/(-2040)).
10
Suppose -1636*p = -1635*p - 272. What is the remainder when p is divided by 46?
42
Let w be (1 - 7) + (-22)/11. Calculate the remainder when 59 is divided by 17 + (-2)/(w/12).
19
Let w(p) = -4 + 6*p**2 - 4*p + 9*p**2 - 14*p**2. Let z be w(5). Calculate the remainder when 43 is divided by 1 - -5 - z*-3.
7
Calculate the remainder when 23 is divided by (-2)/((-10)/3) - (-32)/5.
2
Let s = 989 + -980. What is the remainder when 248 is divided by s?
5
Suppose 9 = 2*u + 55. Let x = -29 - u. What is the remainder when 14/(x/15*-1) is divided by 9?
8
Let q(n) = n**2 + 3*n - 6. Let y(v) = v**2 - v + 1. Let j(s) = q(s) + 4*y(s). Calculate the remainder when j(-3) is divided by 10 - (-9)/27*6.
10
Suppose -4*d - 261 = 7*j - 10*j, 5*d = -3*j + 261. What is the remainder when j is divided by 84?
3
Suppose -9*f = -o - 8*f + 24, -4*f = 2*o - 72. Calculate the remainder when 81 is divided by o.
25
Suppose 2*f - 6 = -f. Let m = 39 + f. What is the remainder when m is divided by (21/4)/((-3)/(-8))?
13
Let k = 28 + -156. Let i = -114 - k. Suppose -5*u = -0*u - 20. Calculate the remainder when i is divided by u.
2
Let u(t) = -t + 3. Let o be u(-6). Suppose q - 7 = o. What is the remainder when 26 is divided by q?
10
Suppose 36972 = 80*g - 28*g. What is the remainder when g is divided by 89?
88
Let y = 105 - 53. Let a be 6 + 10/(-2 - 3). Suppose a*j = 95 + 13. Calculate the remainder when y is divided by j.
25
What is the remainder when 174 is divided by 3/((-3)/6 - -2) + 57?
56
Suppose 39*t - 2236 = 13*t. Calculate the remainder when 173 is divided by t.
1
Let w = 7 + -2. Let x(z) = -4*z**2 + 7*z - 2 - 3*z + w*z**2 - 2*z. Calculate the remainder when 16 is divided by x(2).
4
Let d(u) = u**3 + 4*u**2 - 12*u. Let f be d(-5). Suppose 5*t - 4*o - 52 = f, 42 = 3*t + o. What is the remainder when 54 is divided by t?
9
Let d be 4 - ((-3)/9)/((-4)/12). Suppose -d*o = -3*a + 75, -3*o = 14 - 5. Calculate the remainder when 195 is divided by a.
19
Let l = -6 - -4. Let k be ((-4)/6)/(l/(-3)). Let d(f) = -10*f + 1. Calculate the remainder when 41 is divided by d(k).
8
Suppose -5 = d, -3*d - 77 = -5*c + 48. Calculate the remainder when 85 is divided by c.
19
Suppose -4*o - 2*o - 204 = 0. Let v = 42 + o. What is the remainder when 23 is divided by v?
7
Suppose 0 = -0*b + 6*b + 90. Let f = -3 - b. Calculate the remainder when 58 is divided by f.
10
Suppose 2*r = 5*f + 37, -9*r = -12*r + 4*f + 59. What is the remainder when 229 is divided by r?
19
Suppose f - 6 = -0. Suppose f*m - 8*m + 22 = 0. What is the remainder when 1/1 - 18/(-1) is divided by m?
8
Let n = -215 + 350. What is the remainder when n is divided by 34?
33
Let u = -63 + 39. Suppose -23*s + 120 = -19*s. What is the remainder when s is divided by (1 - 2)/(3/u)?
