ed by 8?
0
Let h be -37 - -41 - (1*8 - -1). Let v be 4/((-40)/6)*h. Suppose 0 = -n - n - v*t + 63, -3*t = -3*n + 72. What is the remainder when n is divided by 6?
3
Suppose -84 = -y - 3*y. Calculate the remainder when (-1040)/(-12)*(731/(-85) + 11) is divided by y.
19
Suppose 5*z - 3*r - 1059 = 1190, -900 = -2*z + r. What is the remainder when z is divided by 113?
112
Let v(r) = 593*r**3 + 3*r**2 - 27*r + 52. What is the remainder when v(2) is divided by 67?
64
Let d be (140/21 - 6)/(1/24). Let j = 35 - d. Suppose -2*c - c - 3*f = -18, -c + 18 = -2*f. Calculate the remainder when j is divided by c.
9
Suppose 0 = 9*x - 4*x. Suppose 3*a + 3 = -x. What is the remainder when (30/(-20))/(a/46) is divided by 35?
34
Suppose -245*j + 377243 = 66*j. Calculate the remainder when j is divided by 296.
29
Suppose -3 - 22 = 5*n. Let z be (-38)/(-2) - 5/(n/2). Suppose z = 4*c - 23. Calculate the remainder when c is divided by 3.
2
Suppose 181*g - 236 = 185*g. Let c = g + 73. Calculate the remainder when c is divided by 6.
2
Suppose 2*q + 93 = 7. Let s = -36 - q. Suppose -s = -g + 36. What is the remainder when g is divided by 23?
20
Let m(y) = 4*y**3 + 6*y**2 + 149*y - 312. Calculate the remainder when 192 is divided by m(2).
24
Let x be 1/(-6)*(-16 + 9 + -23). Suppose x*q - 5*t + 8*t - 72 = 0, -4*t - 8 = -2*q. Suppose 174 = g + 2*g. Calculate the remainder when g is divided by q.
10
Let t(o) = -12*o + 5. Let z be t(0). Suppose -2*l - l + w + 107 = 0, z*w = 5. Calculate the remainder when 226 is divided by l.
10
Suppose -12 = -3*u + 3. Let s(w) = -6*w + 30. Calculate the remainder when s(-12) is divided by u.
2
Let t(n) = -557*n - 6986. Calculate the remainder when t(-13) is divided by 123.
9
Calculate the remainder when ((-152)/(-32))/19 + (-967)/(-4) is divided by 64.
50
Suppose 5*i - 775 = -495. What is the remainder when 330 is divided by i?
50
Let j = 5161 + -5014. Calculate the remainder when 875 is divided by j.
140
Let a = -18 + 26. Let f be 11/(-9) - a/(-36). What is the remainder when ((-2)/(3 - 1))/f + 39 is divided by 14?
12
Let y = 4646 - 4637. Calculate the remainder when 407 is divided by y.
2
Let b(z) = z**3 + 8*z**2 - 7*z - 4. Let a be (-97)/11 + 3 + (-35)/11. Let p be b(a). Calculate the remainder when 62 is divided by (66/p)/(1/(-7)).
20
Let m = -5639 + 5642. Calculate the remainder when 637 is divided by m.
1
Let g(v) = 62*v**2 + 172*v + 12. Suppose 3*o - 2*u - 107 = 0, -u - 144 - 2 = -4*o. Calculate the remainder when g(-5) is divided by o.
36
Let n be 4*(0*(-4)/8 - -1). Let h(g) = g**3 - 3*g**2 - 8. Suppose 0 = 6*o + 10*o - 64. Calculate the remainder when h(n) is divided by o.
0
Let d = -16787 + 16807. Calculate the remainder when 7856 is divided by d.
16
Let g = -25806 - -25863. Let w(s) be the third derivative of s**5/30 - 5*s**4/24 - s**3/2 - s**2. What is the remainder when g is divided by w(-3)?
27
Suppose 168 = -3*w + 162. What is the remainder when 6/(-14) - (2235/(-21) - w) is divided by (-4)/8 - 110/(-4)?
23
Suppose 21 + 7 = 4*y. Suppose -27 - 250 = -64*a - 21. Calculate the remainder when y is divided by a.
3
Suppose -143 = -t + 5*x, -x = 2*t - 255 - 97. Calculate the remainder when 1203 is divided by t.
165
Let v be -2*2 + 196/7. Suppose 4*z = -0*z + 28. Suppose z*i - 6*i = v. Calculate the remainder when i is divided by 9.
6
Let v(n) = 2*n**2 + 5*n + 12. Suppose -w - 6*d + 1239 = -d, d = -5*w + 6123. Suppose 6*j - w = -6*j. Calculate the remainder when j is divided by v(-3).
12
Suppose -5*j + 5*j = 9*j. Suppose j*r - 609 = -4*m + r, -166 = -m + 3*r. Calculate the remainder when m is divided by 51.
49
Suppose 2499 = 4*l - 25*v + 26*v, 6*v = 5*l - 3102. What is the remainder when l is divided by 158?
150
Suppose -14*u + 3*u - 81*u + 162472 = 0. Calculate the remainder when u is divided by 34.
32
Suppose 43*k + 20 = 44*k. What is the remainder when -6*1*(-1 - 72) is divided by k?
18
Suppose -8*l - 57*l - 10543 = -44733. Calculate the remainder when 1586 is divided by l.
8
Let w(n) = n**3 - 4*n**2 - 2*n - 3. Suppose -3*b = 4*k - 17, -5*k = -5*b + 2*b - 28. What is the remainder when 116 is divided by w(k)?
8
Suppose -21*s + 162737 = 88*s. What is the remainder when s is divided by 302?
285
Let f(j) = -j**3 + 5*j + 5. Let y be f(-3). Suppose -y*c = -7*c - 140. Let v = -7 - -46. Calculate the remainder when v is divided by c.
11
Suppose 163*q + 1812 = 169*q. Suppose 0 = 8*k - 10*k + 5*o + 160, o + q = 4*k. Calculate the remainder when 1347 is divided by k.
72
Suppose -p = -4*y - 30, -p = -4*p - 5*y + 22. Suppose 82 + 226 = p*u. Calculate the remainder when 34 is divided by u.
12
Suppose i - 10*j - 41 = -6*j, 108 = 3*i + 3*j. Let m(w) = -w + 8. Suppose 26 = -4*t + 6. Calculate the remainder when i is divided by m(t).
11
Let s(t) = t**3 + 30*t**2 - 350*t + 57. Calculate the remainder when 226 is divided by s(-39).
10
Let i = 26579 - 25864. Calculate the remainder when i is divided by 174.
19
Suppose 28 = 4*t, -296*q - 2*t - 41770 = -300*q. What is the remainder when q is divided by 9?
6
Suppose -24*o + 21*o = -3*f + 1437, -4*f - 3*o = -1881. What is the remainder when 1424 is divided by f?
2
Suppose 3*w - 1 = -3*g + 11, g + 3 = 0. Let d = 85 - w. Calculate the remainder when (-1 - -2)/(3/(-9)) + d is divided by 19.
18
Let c = 584 + -584. Suppose c = 28*j + 15*j - 16039. What is the remainder when j is divided by 25?
23
Suppose -4*q + 5*t + 117 = 0, -5*t + 135 = 3*q + 2*q. Suppose -126 - 155 = -a. Suppose -124 = -5*k + a. Calculate the remainder when k is divided by q.
25
Suppose -7*i - 70 = -8*i. Let q = 11522 + -11516. What is the remainder when i is divided by q?
4
Let c(z) = -8*z**3 + 399*z**2 + 47*z + 165. Suppose -4*v + 47 = f, 0 = -4*f + 2*v - v + 205. Calculate the remainder when f is divided by c(50).
6
Calculate the remainder when 144 is divided by 355*((-9)/(-10) - (-4)/(-8)).
2
Suppose 3*v + 2*q - 25 = 0, 5*v + 2*q + 2*q = 39. What is the remainder when 1 - ((-1376)/80)/((-2)/(-10)) is divided by v?
10
Let d be 679/14*(0 - 2*-1). Suppose 5*p + d = -4*v, 0 = -0*p - 3*p + 9. Calculate the remainder when 46 is divided by -1 - ((-124)/7 - v/(-98)).
12
Let n(g) = g**3 + 6*g**2 - 7*g + 3. Let l be n(-7). Suppose -l*t + 10*t = 56. Calculate the remainder when 27 is divided by t.
3
Let z(h) = -4*h**3 - h**2 - 2*h + 3. Let i be z(1). What is the remainder when (12/i)/(-1) + 568 + -2 is divided by 26?
23
Let l = -1 + 1. Suppose l = -p + 1, -n = -5*n + 4*p + 100. Calculate the remainder when n is divided by 2*-1 + 3 + 84/14.
5
Let o = -3154 - -3274. Calculate the remainder when 1193 is divided by o.
113
Let m(c) = 12*c**2 - 2*c + 1. What is the remainder when m(1) is divided by -1 - 140/(-34) - (-84)/(-714)?
2
Let l = -46 + 67. Let w = -97 + 93. What is the remainder when l is divided by ((-2)/w)/(1/24)?
9
What is the remainder when (-69 - -183) + (5 - 3/3) is divided by 106?
12
Suppose 12 = 5*s - 2*l - 193, l = 5. Suppose 3*h = -c + 125 - 48, 3*h - 157 = -2*c. Calculate the remainder when c is divided by s.
37
Suppose -q - 3*y + 1199 = -y, -3*q = -y - 3632. Suppose -31*p + 5084 = q. What is the remainder when p is divided by 8?
5
Let q be (90/60)/((-2)/(-152)). Suppose 38 + q = 3*p - s, -2*p + 4*s = -108. What is the remainder when 1498 is divided by p?
48
Suppose -46*o = -7704 + 712. Suppose 0 = 3*u - 72 - 36. Calculate the remainder when o is divided by u.
8
Let g(k) = 54*k**2 + 7*k - 2. Let j(b) = -11*b - 76. Let q be j(-7). Calculate the remainder when 111 is divided by g(q).
52
Suppose 0 = -4*x + 16, 2*h + 5*x + 0*x = 778. Let v = -205 + h. Calculate the remainder when v is divided by 8.
6
Let l = 68 - 12. Let i = l + 171. What is the remainder when i is divided by 19?
18
Let l(f) = 3*f**2 - 86*f - 86. Calculate the remainder when 301 is divided by l(30).
29
Suppose 0 = 2*r + 3*g - 37, 0*g = -4*r + 4*g + 24. Suppose 472*s = 441*s + 5022. What is the remainder when s is divided by r?
8
Suppose 0 = 3*w - 21 + 9. Suppose 0 = u + 5 + w. Calculate the remainder when 70 is divided by (u/(-6))/((-1)/(-12) + 0).
16
Let o be 3 - (-3 - 2/(-1)). Let z be (-8)/(-10) - (-351)/5. Suppose -o*a - 5*n - z = -261, 0 = 3*a + 2*n - 139. Calculate the remainder when a is divided by 25.
20
Let s = 48 - -5. Let l = 6297 + -6278. What is the re