37
Suppose -23*n = -22*n - 105. Suppose -5*i - 2*l + 7*l + 60 = 0, 4*i - 48 = -l. Calculate the remainder when n is divided by i.
9
Calculate the remainder when 786 is divided by 98*18/15*(-170)/(-102).
2
Suppose -13*r + 340563 = 7126. What is the remainder when r is divided by 30?
29
Let n = 431386 + -431376. Let r(q) = q + 19. What is the remainder when r(0) is divided by n?
9
Suppose 2*a = 0, 77*a - 78*a = 4*q - 16. Suppose 0 = -4*i - 2*d + 102, d - 26 = q*i - 137. What is the remainder when 207 is divided by i?
18
Let y(l) = -275*l + 645. Calculate the remainder when 1136 is divided by y(2).
91
Let o be (-2)/(5 - 13) + (-166)/(-8). Suppose q - 3 = 4*u + 6*q, -5*u + 2*q = -o. What is the remainder when (u + 1 + -5)/((-4)/212) is divided by 14?
11
Let w be ((-369)/(-205))/(6/140). Suppose -q = 5*j - w, q = -2*q + 4*j + 69. What is the remainder when q is divided by 164/10 + 2/(-5)?
11
Suppose 3*u = 4*r - 540, 20*r - 16*r + 5*u - 572 = 0. Let j = r - 128. What is the remainder when 145 is divided by j?
5
Calculate the remainder when 2049 is divided by 19 - 78*(-2)/12.
1
Suppose 92855 = 97*q - 34*q - 8386. What is the remainder when q is divided by 15?
2
Let t = 122 - 17. Suppose 6*c + 21 - t = 0. Calculate the remainder when 21 is divided by c.
7
Suppose 4*b = 15 - 3. Suppose 7 = -8*g + 6*g - 5*v, g - 13 = b*v. What is the remainder when 46 is divided by g?
2
Let x(c) = -c**3 - 20*c**2 - 2*c - 2. Let p be x(-20). Suppose -p = -4*v - 22. Suppose -v*i - 22 = -66. Calculate the remainder when 30 is divided by i.
8
Let f(t) be the second derivative of t**5/20 - t**4/2 + 5*t**3/6 - 15*t**2/2 + 6*t - 3. What is the remainder when f(6) is divided by 8?
7
Let a(y) = -7*y**3 - 4*y**2 + y + 3. Suppose -6*i - 30 + 126 = 0. Calculate the remainder when a(-3) is divided by i.
9
Let p = -4 + 8. Suppose -p*r + 244 = 4*m, -3*m - m + 226 = -2*r. Let g = -35 + m. What is the remainder when g is divided by 8?
7
Let k(d) = 2*d**2 + 7*d. Calculate the remainder when 21/35 + (-29176)/(-90) + 70/315 is divided by k(-6).
25
Suppose -27 = 14*x - 55. Suppose k + k - x*a - 86 = 0, 4 = a. Suppose 459 = 5*q + j, -2*q - 3*q + 456 = 4*j. Calculate the remainder when q is divided by k.
45
What is the remainder when 2352/(-48)*(4 - 6) is divided by 39?
20
Let m be (-4)/(-18) + (-1318)/18. Suppose 96*g - 1078 = 51*g + 34*g. Let j = m + g. What is the remainder when 74 is divided by j?
24
Suppose b = -2*b + 5*l - 112, -4*b - 5*l = 161. Calculate the remainder when 97 is divided by (12/(-4) - -4)/((-3)/b).
6
What is the remainder when ((-1200)/500)/((-4)/((-84340)/(-3))) is divided by 37?
33
Let u = -3000 + 3041. Suppose 0 = -2*i + 4*x + 44, -2*i = i + 4*x - 76. Calculate the remainder when u is divided by i.
17
Let h(c) = c**3 + 5*c**2 + 2*c + 6. Let w be h(-4). Let k(m) = m**3 + 15*m**2 - 2*m - 14. Calculate the remainder when (w/21 - 0) + 278/6 is divided by k(-15).
15
Suppose -7*d + 34 = 34. Suppose 3*w - 135 - 54 = d. What is the remainder when w is divided by 17?
12
Suppose 134 + 101 = -80*l + 81*l. Calculate the remainder when l is divided by 214.
21
Let v(c) = -54*c - 95. Let q be v(-10). Let b = 547 - q. What is the remainder when b is divided by 52?
50
Let b(s) = -986*s - 1011. Calculate the remainder when b(-2) is divided by 4.
1
Suppose -4*b + 8 = 0, 2*x = -6*b + 5*b + 8. Calculate the remainder when (-2)/10*(-465)/x is divided by 19.
12
Let i be -4*1/(16/30)*6. Let n(j) = j**2 + 30*j - 104. Calculate the remainder when n(i) is divided by 22.
21
Calculate the remainder when ((-740)/148)/(5/(-3006)) is divided by 188.
186
Suppose h + 5*r = 2, r - 30 = -4*h + 3*r. Suppose 0 = 2*b + 2 + 4, 0 = 5*z + 5*b - 15. Suppose -h*q + 403 = z*q. What is the remainder when q is divided by 11?
9
Let m(b) = 29*b**2 + 170*b + 4. Calculate the remainder when 157 is divided by m(-6).
17
Let q(x) be the third derivative of -x**5/30 + x**4/24 - 10*x**2. Let s be q(4). Let g = 0 - s. What is the remainder when g is divided by 10?
8
Let p(n) = -n**3 - 17*n**2 + 114*n + 331. What is the remainder when 5587 is divided by p(-22)?
241
Suppose 2*r + 15 = 7*r. Let f = 23405 - 23393. What is the remainder when f is divided by r?
0
Suppose 759 = 7*u + 3944. Let l = u - -519. Suppose 145 = 4*d + 33. What is the remainder when l is divided by d?
8
Let u = 49 - 47. Suppose -3 = 2*g + n + u*n, 0 = -4*g - 3*n - 3. What is the remainder when g + -1 - 96/(-3) is divided by 11?
9
Let u = -37851 - -38624. What is the remainder when 826 is divided by u?
53
Let p(k) = -2*k**3 + 15*k**2 - 46*k + 4. Let r be p(7). Let s = 289 + r. Calculate the remainder when 157 is divided by s.
17
Let n(t) = t**3 + 10*t**2 - 14*t + 3. Let u be n(-11). Let f = 59 - u. Let a = -81 - -95. What is the remainder when f is divided by a?
9
Suppose 16*j + j - 5824 = -74*j. Let i = 42 + -19. Calculate the remainder when j is divided by i.
18
Suppose 0 = 4*d + 5*b - 3 + 5, 2*d - 8 = 2*b. Let h be 12 - 13 - 1/d*0. Calculate the remainder when 14 is divided by ((-21)/(-15) + -2)/(h/5).
2
Suppose -y + 33 = 2*y. Suppose -4*l = 12, l + l = 2*o - 10. Suppose o*x = -11*x + 702. What is the remainder when x is divided by y?
10
Suppose -5*b + 3*h = -279, 5*b = 2*b - h + 173. Suppose -r = 2*r - b. Suppose 12081 = 52*i + 9325. Calculate the remainder when i is divided by r.
15
Let d be ((-36)/40*-18)/(5/25). Suppose 5*f = -3*z + 114, 0 = 2*f + 3*z + 39 - d. Calculate the remainder when f is divided by 11.
2
Calculate the remainder when 3057 is divided by 324/432 - (-3252)/16.
201
Suppose -4*a + 2*b + 35 + 11 = 0, 0 = -4*b - 20. Let d = a + -3. Calculate the remainder when 9 is divided by d.
3
Suppose 74 - 14 = 5*n. Suppose -276 = -n*w + 336. What is the remainder when w is divided by 34?
17
Let c(o) = o**3 + 7*o**2 + 4*o - 25. Let v be c(-5). What is the remainder when 428 is divided by (v + (-7)/4)*(2 + 2)?
12
Let i = -196 - -208. Let z be 2 + -1 + 0 + 3. Suppose -4*g + 127 = 3*t - z*t, -2*g + t = -63. What is the remainder when g is divided by i?
8
Let o(b) = b**2 - b - 10. Suppose 0 = 33*k - 41*k + 48. Calculate the remainder when 39 is divided by o(k).
19
Suppose 0 = -5*p - 8 + 18. Let z(h) = h**3 - 2*h**2 + 2*h + 1. What is the remainder when 177 is divided by z(p)?
2
Suppose 41*s - 28*s = 91. Let v be ((-9)/(-12))/((-2)/40). Calculate the remainder when (305/v)/((-1)/3) is divided by s.
5
Suppose 2*q + 8*f = 3*f + 88, -5*f - 290 = -5*q. Let t = 3 + 1. Calculate the remainder when q is divided by t.
2
Suppose -37 - 41 = 6*n. Let h = 12 - n. Suppose x = -7 + h. Calculate the remainder when 49 is divided by x.
13
Suppose -4*d + 4*x + 1080 = 0, 7*d - 5*x = 3*d + 1077. Calculate the remainder when 2471 is divided by d.
14
Suppose 5*u - w = -6*w + 345, 5*w + 63 = u. Suppose 3*z - 747 = -3*b, 0*b + 492 = 2*b + 4*z. Suppose j + 6*j = b. What is the remainder when u is divided by j?
32
Suppose -4 = -4*w - 2*y, 4*y = -5*w + 9*y + 5. Suppose 5*n + s = -2*s + 3, -w = n + s. Calculate the remainder when 14 is divided by n.
2
Suppose -2*a - 5*l + 2 = -56, 0 = -3*a + 5*l + 62. Let h be ((-16)/1)/2 + 1. Let o = h - -14. What is the remainder when a is divided by o?
3
Suppose 4*m - 32 = -4*f - m, 5*m = 3*f - 24. Suppose j + 5*a = 67, -5*j + 3*a = -f*j + 213. Calculate the remainder when 211 is divided by j.
67
Suppose -6*w + 16 = 3*d - 4*w, 0 = d + 3*w - 3. Suppose -7*k = -d*k - 11. Calculate the remainder when 74 is divided by k.
8
Let c(d) = 4*d**2 - 20*d - 30. What is the remainder when 3956 is divided by c(-3)?
62
Let w(p) = 6*p**3 - 5*p**2 - 47*p + 169. Calculate the remainder when w(3) is divided by 16.
1
Let x(h) = -33*h + 2572. What is the remainder when 7999 is divided by x(76)?
63
Let b(m) = 4*m**2 - 245*m + 2390. What is the remainder when 1025 is divided by b(10)?
5
Suppose -3*b - 3*f + 8 = -37, 3*b - 85 = f. Suppose -4*u - u + 340 = 0. What is the remainder when u is divided by b?
18
Let m(c) = c**3 - 7*c**2 + c - 16. Let s be m(7). Let f = 9 + s. Suppose -l = -3 - 2, f = -2*p - 2*l + 18. Calculate the remainder when 13 is divided by p.
1
Let l = 120287 + -120238. Let o = 4 + -2. Suppose 0*d = o*d - 18. What is the remainder when l is divided by d?
4
Let l = -183 - -328. Let y(r) = r**3 + 20*r**2 - 45*r + 27. Suppose 242 = -45*u + 34*u. W