ppose w = -1 + v. Calculate the remainder when 7 is divided by w.
1
Suppose -4*c - 4*a + 72 = 0, 5*a - 20 - 34 = -3*c. Suppose 5*k - 4 = 11. Suppose -k = -d + c. Calculate the remainder when d is divided by 6.
3
Suppose 0*m - 4*x = -m + 241, 643 = 3*m + 4*x. What is the remainder when m is divided by 45?
41
Suppose -f - 4*d = -2*d - 37, -185 = -5*f + 5*d. Suppose 0 - 6 = -3*s. Suppose -12 = -s*x + 8. Calculate the remainder when f is divided by x.
7
Let u = 104 + -93. What is the remainder when 325 is divided by u?
6
Let b be 6/8 + (-6)/96*332. Let g = 56 - 2. Let p = b + g. Calculate the remainder when p is divided by 18.
16
Let c = 62 - 34. Suppose 275 = -23*o + c*o. What is the remainder when o is divided by 28?
27
Suppose 20 = -5*c + 80. Calculate the remainder when 154 is divided by c.
10
Suppose 0 = -y + 4. Suppose -5*r = -5*c - 320, 5*r + 90*c - 365 = 86*c. Calculate the remainder when r is divided by y.
1
Suppose 2*q = 265 + 37. What is the remainder when q is divided by 22?
19
Let n(c) be the third derivative of -1/8*c**4 + 0 + c**2 + 3/20*c**5 + 0*c - 13/6*c**3 + 1/120*c**6. Calculate the remainder when 25 is divided by n(-9).
11
Let y = 74 + -54. Calculate the remainder when (y - 29)*71/(-3) is divided by 43.
41
Suppose -3*p + 2*p = -3. Suppose 70 = 5*a + 5*q, p*q = 3*a - 8*a + 76. Let r = 312 + -246. What is the remainder when r is divided by a?
15
Let x = 168 - 38. Calculate the remainder when x is divided by 73.
57
Let a = 26 - 24. Suppose -1 - 85 = -a*f. Calculate the remainder when 82 is divided by f.
39
What is the remainder when 42 is divided by (-56)/(-6) - (455/(-39) + 12)?
6
Let g(j) = j**2 - 2*j - 2. Let i be g(-3). Let z be i/3 + 1/(-3). What is the remainder when (-3)/(-3) + (28 - z) is divided by 13?
12
Let i = -1556 + 1596. What is the remainder when i is divided by (-11)/(6/(-4) - -1)?
18
Suppose 131 = 5*g + 36. Suppose -5*s + 3*f + 20 = -f, 0 = 3*s + 5*f - 12. Let b(h) = 2*h**2 + 7*h - 6. Calculate the remainder when b(s) is divided by g.
16
Calculate the remainder when 422 is divided by ((-48)/14)/(502/84 - 6).
134
Let x(f) = -36*f + 10. Let q be x(-8). Let s = q - 158. Suppose -2*r - 2*r + s = 0. What is the remainder when r is divided by 12?
11
Let y(b) = -4 - 14*b + 3 + b**2 - 2*b**2. Suppose -4*r - 40 = -3*v, -4*r = -v - 0*v. What is the remainder when y(-10) is divided by v?
19
Let x be (-54 - 10)*14/(-4). Let b = x + -96. What is the remainder when b is divided by 13?
11
Let b(w) = -w**2 + 9*w + 3. Let f be b(9). Suppose 2*q - 5 = f. Suppose -a - q*c = -c - 39, 5*a - 5*c - 95 = 0. Calculate the remainder when 71 is divided by a.
23
Suppose u - 203 = 3*i - 8*i, -4*i + 2*u = -154. Calculate the remainder when -5 + (-13)/(78/(-972)) is divided by i.
37
Let m(x) = 17*x**2 + 14*x - 11. Calculate the remainder when 244 is divided by m(2).
74
What is the remainder when 1439 is divided by (27 - 9)*(32/12 - 2)?
11
Let m = 166 + 175. What is the remainder when m is divided by 114?
113
Suppose 6*c + 22*c = 728. Suppose 0*p - 2*p = -3*g + 22, g + 4 = -5*p. Calculate the remainder when c is divided by ((-2)/g)/(2/(-42)).
5
Suppose -30*g + 4*g + 416 = 0. What is the remainder when 49 is divided by g?
1
Suppose 14*w = 37*w - 3105. Calculate the remainder when w is divided by 22.
3
Suppose 0 = -43*q + 40*q + 93. What is the remainder when 275 is divided by q?
27
Suppose -3*f - 13 + 1 = 0, 5*q + 3*f - 113 = 0. What is the remainder when q is divided by 3?
1
Let w(l) = -10*l. Let u be w(0). Suppose -2*p - 4*r + 96 = u, -4*p - 2*r + 157 = -r. Calculate the remainder when p is divided by 22.
16
Let r = -21 - -19. Calculate the remainder when ((-2)/r + -3)/(42/(-630)) is divided by 8.
6
Let g = -21 + 31. Let q be (-2)/g + 162/10. Suppose -4*c + 0*c = -q. What is the remainder when c is divided by 2?
0
Let n(h) = -2*h**3 + 2*h**2 - 4*h + 1. Calculate the remainder when 111 is divided by n(-2).
12
What is the remainder when 53 is divided by (5 - (-30 + 5))*2/6?
3
Suppose -20 = -o - 3*o - 2*x, -3*o = x - 16. Suppose 4*f + 497 = 5*j, -5*j - o*f = -5*f - 507. Calculate the remainder when j is divided by 54.
47
Let y be (-20)/9 + 2 + (-87)/(-27). Suppose -5*h + y*r = -19, -h + 4*h = -2*r + 19. Calculate the remainder when 24 is divided by h.
4
Let h be (-1)/(1*1/(-2)). Suppose 0 = -h*r + 3 + 3. Suppose 40 = r*a + 2*a. Calculate the remainder when 22 is divided by a.
6
Let x be ((-12)/9)/(10/(-75)). Suppose m - x = 22. Suppose 2*z - 8 = 0, -5*z + m = 4*h - 2*h. What is the remainder when 17 is divided by h?
5
Suppose 0 = -3*c + 4*c. Suppose c*q = -q + 3. Suppose -2*m - q*m = -110. What is the remainder when m is divided by 8?
6
Let z = -1 + 4. Suppose 0 = -v + z. Calculate the remainder when 38 is divided by ((-9)/6)/(v/(-40)).
18
Suppose 2*a + 726 = 5*a. Suppose 0 = -3*j + 5*j - 5*b - 114, 4*j - 3*b - a = 0. What is the remainder when j is divided by (2 + -1)/1*21?
20
Let p be -105 + (2 + 0)/(6/(-12)). Let f = p + 131. What is the remainder when f is divided by 3?
1
Suppose -p + 4*g + 22 = -6*p, 3*p + 5*g + 8 = 0. Calculate the remainder when 39 is divided by (1 - 0)*0 - p.
3
Let s(r) = 7*r**2 + r + 2*r**2 + 33 + 8*r**2 - r**3 - 18*r. Calculate the remainder when 78 is divided by s(16).
10
Let s(v) = v**3 - 6*v**2 - 5*v + 1. Let t be (1*-1)/(9/(-63)). Calculate the remainder when 3*22*(-2)/(-3) is divided by s(t).
14
Let t(v) be the third derivative of -v**5/60 - v**4/2 - 10*v**3/3 - 21*v**2. What is the remainder when t(-7) is divided by 6?
3
Suppose -m - 60 = -4*m. Suppose 0 = -3*s, -w + 69 = -4*s + m. Calculate the remainder when w is divided by 4/(-14) - 62*(-6)/28.
10
Let z = -248 - -285. What is the remainder when 105 is divided by z?
31
Let i(l) = l**3 + 6*l**2 + 2. Let f be i(-6). Suppose -7*u - f*u = -351. What is the remainder when u is divided by (10/(-4) - 1)*-4?
11
Suppose -23*v = -1210 - 4632. Calculate the remainder when v is divided by 86.
82
Suppose 9*a - 108 = -4*t + 5*a, -3*t + 83 = a. Calculate the remainder when t is divided by 4.
0
What is the remainder when (-5)/20 - (-481)/4 is divided by 35?
15
Let m(t) = -20*t - 26. Let b be m(-4). Suppose -15*q + b = -13*q. Let r = -35 + 49. Calculate the remainder when q is divided by r.
13
Let f = -87 + 104. Suppose -4*h - 12 = 8. Let u(j) = -j**2 - 6*j + 5. Calculate the remainder when f is divided by u(h).
7
What is the remainder when 127472/240 - (-6)/(-45) is divided by 76?
75
Let h = -771 + 1081. Calculate the remainder when h is divided by 78.
76
Suppose 73 = -a + 5*d, -4*a + 5*d - 249 = -a. Let r = 61 - a. Calculate the remainder when r is divided by 38.
35
Suppose 192*y = 196*y - 1288. Calculate the remainder when y is divided by 7.
0
Let o be (84/(-16))/((-2)/(-520)). Calculate the remainder when 231 is divided by 3/(-15) + (o/25)/(-3).
15
Suppose 0 = 2*k + 2*m - 2 - 26, 0 = -5*k + 4*m + 106. What is the remainder when k is divided by 7?
4
Suppose -4*v = 13 - 121. Suppose -v + 172 = 5*g. Calculate the remainder when 115 is divided by g.
28
Suppose 11*p = 36*p - 875. Calculate the remainder when 289 is divided by p.
9
Suppose -3*h + h + 52 = 0. Calculate the remainder when 154 is divided by h.
24
Let j(r) = 2*r**3 - 24*r**2 + 3*r + 34. What is the remainder when j(12) is divided by 41?
29
Let i = -348 - -369. What is the remainder when 102 is divided by i?
18
Suppose -264 = 2*n - 332. What is the remainder when 98 is divided by n?
30
Suppose -10 + 47 = 2*l + m, -2*m = 10. Let h = 26 - 17. What is the remainder when 6/(-14) - (-723)/l is divided by h?
7
Suppose a + 23 = 4*n + 4, -5*a + 19 = -n. What is the remainder when 58 is divided by n?
4
Let s(r) = -r + 9. Let x be s(7). Suppose 2*i - 2*q - 13 = -3, i = 4*q + 20. Suppose i = -x*b + 4*b - 18. Calculate the remainder when 16 is divided by b.
7
Let g = 43 - 42. Calculate the remainder when 5 is divided by (-1*8)/(-2 + -1 + g).
1
Let y(b) = 3 + 4*b - 3*b + 5 + 1. Let f be y(-4). Suppose 0 = -f*g - 47 + 282. Calculate the remainder when g is divided by 24.
23
Suppose 100 = 5*n - 0*h + 5*h, -h + 4 = 0. Let w be (20/n)/((-3)/(-24)). Let i = w - -4. What is the remainder when i is divided by 4?
2
What is the remainder when 15 is divided by (-11 - (-60)/8)/((-1)/2)?
1
Suppose d + 3*s = 69, -34 = -d + 4*s - 0. What i