the remainder when p(r) is divided by 8.
6
Suppose 5*d - 52 = -42, -3*w + 2*d = -284. Calculate the remainder when 282 is divided by w.
90
Suppose 31 - 81 = -5*n + 5*q, -2*n + 11 = -5*q. What is the remainder when 23 is divided by n?
10
Suppose -52*u + 40 = -48*u - b, 0 = -4*u + 3*b + 32. Calculate the remainder when 205 is divided by u.
7
Let b(z) = z**2 + 9*z + 3. What is the remainder when 178 is divided by b(-12)?
22
Let k(l) = -l + 1. Let w be k(5). Let g be (-3)/((-12)/w + -4). Suppose 54 = 3*p + g*s, 2*p - 47 = -4*s - 1. Calculate the remainder when 24 is divided by p.
11
What is the remainder when 2139 is divided by (17 + -15)*(7 - 2)?
9
Let l = -9 - -12. Suppose 0 = l*i + i - 16. Suppose -4*n - i*v + 143 = -v, n = -5*v + 23. Calculate the remainder when n is divided by 13.
12
Suppose 2*q - 4*i - 16 = 0, 81*q = 76*q - 5*i + 25. Suppose 4*h - 20 - 36 = 0. Calculate the remainder when h is divided by q.
2
Suppose 842 = -17*y - 144. Calculate the remainder when (y/10)/(-4*(-1)/(-20)) is divided by 4.
1
Let z = 6 - 5. Suppose 2*b + z - 21 = 0. Calculate the remainder when b is divided by 4.
2
Suppose 0*x + 2*x - 36 = 0. Calculate the remainder when 3 + 69 - (0 + 1) is divided by x.
17
Let r(v) = -31 + 26*v - 10*v - 8*v. Calculate the remainder when r(15) is divided by 13.
11
Suppose -6*j - n + 17 = -5*j, -j - 5*n + 37 = 0. What is the remainder when (15/(-2))/(3/(-8)) is divided by j?
8
Suppose -2*n + 80 = -148. Suppose -46 = -s - 3*h - 17, 0 = -2*s - h + 58. Calculate the remainder when n is divided by s.
27
Let f be ((-2)/(-6))/((-1858)/372 + 5). Suppose -8*q + 50 + f = 0. What is the remainder when 16 is divided by q?
2
Suppose 92 = 2*m - 5*i - 255, 504 = 3*m - 2*i. Calculate the remainder when m is divided by 42.
40
Let z be 730/45 + (-6)/27. Let k = z + -8. Calculate the remainder when 62 is divided by k.
6
Let d(o) = 10*o**2. Let i = 13 + -14. What is the remainder when d(i) is divided by (-4)/(-14) - 104/(-28)?
2
Let t(b) = -b**3 - 6*b**2 - 3*b - 9. Calculate the remainder when t(-7) is divided by 21.
19
Let f = -26 - -32. Suppose -u + 42 = 2*q, -4*u = q - f*u - 11. What is the remainder when 37 is divided by q?
18
What is the remainder when 1186 is divided by 798/342*(-102)/(-7)?
30
Let t = -12 - -25. Suppose 9 - 101 = -2*s. Suppose -5*k + 2*p = -s, 4*p - p = -9. What is the remainder when t is divided by k?
5
Let c(j) = 4*j - 39. Let l be c(12). Calculate the remainder when -1 - (562/(-14) - l/(-63)) is divided by 16/(-3)*(-30)/8.
19
Let o be 42/12 + (-2)/4. What is the remainder when 3/o + (-76)/(-4) is divided by 7?
6
Let b = 92 - 65. Calculate the remainder when b is divided by 4.
3
What is the remainder when 140 is divided by (-108)/648 - (-806)/12?
6
Suppose 0 = -y - 16*y + 187. Calculate the remainder when y is divided by 2.
1
Let r(u) = -3. Let a(w) = 5. Let d(c) = 4*a(c) + 7*r(c). Let m(q) = 11*q - 1. Let i(l) = 2*d(l) - m(l). Calculate the remainder when 38 is divided by i(-1).
8
Let p(s) = -2*s**3 + 5*s + 74. Let d be p(0). Suppose -b - 3*b - 192 = 0. Let z = b + d. What is the remainder when 101 is divided by z?
23
Suppose 61 = 5*m - 34. Suppose -m*j = -23*j + 120. Calculate the remainder when j is divided by 8.
6
Let s be 7 - 0/(1 + -3). Let o(v) = -7*v + 17. Let h be o(s). What is the remainder when 26 is divided by 1/(h/36 + 1)?
8
Let b(r) = -r**3 - r**2 - 8*r - 7. Calculate the remainder when 389 is divided by b(-2).
12
Suppose -27 = 4*a + 61. Let o = a + 100. What is the remainder when 49 is divided by 10/15*o/4?
10
Suppose 2*r - 3*z - 15 = 0, 40*r = 43*r - 2*z - 20. Calculate the remainder when 105 is divided by r.
3
Suppose -54 = 8*g + 26. Let b(u) = 2*u**2 + 17*u - 8. Calculate the remainder when 85 is divided by b(g).
19
Let v(m) = -m**2 + 44*m + 180. What is the remainder when v(46) is divided by 48?
40
Let s = -61 - -74. What is the remainder when s is divided by 7?
6
Let m(h) = 2*h**2 + 57*h - 131. What is the remainder when m(-32) is divided by 45?
3
Let k be ((6/(-2))/9)/((-7)/42). Let l(j) = 63*j + 4. Calculate the remainder when l(k) is divided by 33.
31
Suppose -886*m + 120 = -883*m. Suppose 0 = 5*j - 0*j + h - 36, 3*j + 5*h = 26. What is the remainder when m is divided by j?
5
Suppose -u - 88 + 94 = 0. Calculate the remainder when 64 is divided by u.
4
Let b = 446 - 104. Suppose -5*p + 133 = -b. Calculate the remainder when p is divided by 12.
11
Let p be 3 + 1 + (-48)/(-3). Suppose 0 = -2*u - p - 0. Let x(r) = -r**2 - 13*r - 1. What is the remainder when 85 is divided by x(u)?
27
Suppose -2*g + 13 = -g. Suppose 5*r = -323 - 247. Let f = 162 + r. What is the remainder when f is divided by g?
9
Suppose 23*a - 55 - 520 = 0. Calculate the remainder when a is divided by 7.
4
Suppose 5*g = -u + 19, -2*g = -6*g - 3*u + 24. Let n be (g/9)/((-7)/(-42)). What is the remainder when (72/30)/(n/85) is divided by 15?
12
Suppose 117 = 4*i - 5*p, -4*p - 135 = -3*i - 2*i. Suppose 0 = 2*n + 2 - 28. Suppose -n = -4*v + 3*v. What is the remainder when i is divided by v?
10
Suppose 5*a - c = -84, -5*a - 149 = -5*c - 49. Let j = a + 16. Let o = j - -17. Calculate the remainder when 33 is divided by o.
16
Let b be 8/(8*-5) + (-21)/(-5). Let g(j) = -5*j - 4. Calculate the remainder when (5 - b)/(4/84) is divided by g(-3).
10
Let z(h) = h + 9. Let n be z(-11). Let s = n - -3. Let g = s - -11. Calculate the remainder when 35 is divided by g.
11
Suppose 4*d + 11 - 413 = -2*w, 0 = 4*w + 2*d - 822. What is the remainder when w is divided by 66?
9
Let g(r) = -13*r**2 + 3*r + 1. Let b be g(-2). Let y = b - -84. Let h(p) = 2*p**2 + 4*p - 1. What is the remainder when y is divided by h(-4)?
12
Suppose 755*l - 777*l + 1078 = 0. Suppose 4*k - 34 - 21 = -3*u, -5*u + 77 = 3*k. What is the remainder when l is divided by u?
10
Let c(b) = 2*b - 4. Let w be c(10). Let x = 27 - w. Let t = 34 - x. Calculate the remainder when t is divided by 13.
10
Calculate the remainder when 55 + 30/6 - -7 is divided by 20.
7
Let j be 2704/18 - 2/9. Let w be (-1 + 4)/(45/j). Suppose -4*n + p + 159 = 0, 0*p - 2*p + w = 0. Calculate the remainder when n is divided by 11.
8
What is the remainder when 183 is divided by (48 - 55)/(2/6*-1)?
15
Suppose 0 = 4*l - 4*x - 936, -4*x = -5*x - 5. Calculate the remainder when l is divided by 10.
9
Suppose -15*q = -1582 + 907. Calculate the remainder when 102 is divided by q.
12
Suppose 7*v - 11*v + 12 = 0. Suppose 0 = v*x - 0*x. Suppose 0 = -x*q - q + 24. Calculate the remainder when q is divided by 7.
3
Suppose 0 = -2*x - 4*w + w - 27, -4*w - 44 = 4*x. Let p = 28 - x. What is the remainder when p is divided by 18?
16
Let w = 57 + -30. What is the remainder when w is divided by 2*(-6)/((-60)/35)?
6
Suppose 2*w - 14 - 16 = -3*a, -5*w + 25 = -5*a. Let g = w + 9. Calculate the remainder when 106 is divided by g.
16
Let f(h) = -h**2 + 13*h + 15. Let d = -71 - -91. Calculate the remainder when f(11) is divided by d.
17
Let p(q) = -q + 12. Suppose -1028 = -7*v - 48. What is the remainder when v is divided by p(-12)?
20
Let w(p) = -p - 12 + 7 + 5. Let r be w(0). Suppose 0*m + 2*m - 30 = r. Calculate the remainder when 41 is divided by m.
11
Let i = 105 + -2. Suppose -3*a - 159 = -6*a. What is the remainder when i is divided by a?
50
Let s = 3 - -292. Suppose -2*h + 198 = -3*j, j + 3*j = 3*h - s. Calculate the remainder when h is divided by 47.
46
Suppose 6*t = t - 135. Let y = t + 30. Suppose 6*l = y*l + 63. What is the remainder when 83 is divided by l?
20
Let j be 2*(4/3 - 290/6). Let h = -71 - j. What is the remainder when 43 is divided by h?
20
Suppose -u + 2*u = 2*c + 3, -4*c - u = 15. Let q(f) = -2*f**3 - 3*f**2 + 3*f - 3. What is the remainder when q(c) is divided by 64/(-24)*15/(-4)?
5
Suppose 13 = 4*f + 5*d, -f - 2*d + d + 3 = 0. Suppose -c - 2*o + 13 = 0, c - 4 = -o + f*o. Calculate the remainder when 18 is divided by c.
4
Suppose 176 = 4*b + 4*p, 3*b = -14*p + 15*p + 124. What is the remainder when 176 is divided by b?
8
Let f(l) = -l**3 + l**2 + 3. Let x be f(2). What is the remainder when 55 + (x/3)/(2/(-6)) is divided by 21?
14
Let b(n) = -2*n**3 + 63*n**2 + 34*n - 47. Calculate the remainder when 232 is divided by b(32).
11
Suppose -5*b = 105 - 30. Let c = -13 - b. Suppose 25 - 7 = c*v. Calculate the remainder