3.
12
Let s(w) = 8 - 34 + 17 + 4*w + 12*w**2. Calculate the remainder when s(3) is divided by 28.
27
Let h = 4 - -1. Suppose -3*g - 26 = -h*g. Calculate the remainder when 35 is divided by g.
9
Suppose 3*s = 6*s - 5*q - 22, 0 = 5*s + 4*q + 25. Let o be (1 - 0)*(s - -2). Suppose 2 + o = 3*n. What is the remainder when 2 is divided by n?
0
Let w = -255 - -451. What is the remainder when w is divided by 50?
46
Let i be (-105)/7*2/(-6). What is the remainder when 1*65/(0 - -1) is divided by 2/2*(38 - i - -1)?
31
Suppose -41*a = -43*a + 8. Calculate the remainder when 73 is divided by 38/a*(-4)/(-2 + 1).
35
Let l = 13 - 9. Suppose -3*r - l + 45 = 5*f, -23 = -5*r + 3*f. What is the remainder when 6/14 - (-1170)/63 is divided by r?
5
Suppose -h = -2*t + 18, 4*t + 0*h - 32 = 4*h. Calculate the remainder when 28 is divided by t.
8
Let m(v) = -v**3 - 7*v**2 - 2*v - 11. Let x be m(-7). Suppose 0 = -x*r - 2*r + 5, 4*r = 2*h - 180. What is the remainder when h is divided by 31?
30
What is the remainder when 6 is divided by 1 - 1 - (-13 + 11)?
0
Suppose 0 = -32*g + 37*g + 165. Let i = g + 61. Calculate the remainder when i is divided by 16.
12
Let m = -104 + 156. Suppose 6*b - m = -2*q + 3*b, 0 = q + 2*b - 27. What is the remainder when 88 is divided by q?
19
Let q(c) be the second derivative of -4*c**2 + 8*c + 0 - 5/3*c**3. What is the remainder when q(-4) is divided by 17?
15
Let n(y) = 7*y + 14. Let o be n(-2). Calculate the remainder when o + ((-4)/(-6)*27 - 3) is divided by 10.
5
Let v(q) = -44*q - 113. Calculate the remainder when v(-5) is divided by 32.
11
Suppose 5*s - 25 = 0, -9*s + 14*s - 65 = -5*i. What is the remainder when 16 is divided by i?
0
Suppose 0 = -6*d + 664 - 550. Calculate the remainder when 218 is divided by d.
9
Suppose 140*j = 137*j + 5*k + 910, 5*j + 5*k = 1570. Calculate the remainder when j is divided by 155.
0
Let b(t) = 29*t + 3. Let h be b(2). Let s = h + -44. What is the remainder when 64 is divided by s?
13
Let v(q) = -3*q - 22. Let g be -3 - (-7)/((-28)/32). What is the remainder when 32 is divided by v(g)?
10
Let g(y) = -y**3 + 4*y**2 + 8*y + 25. Calculate the remainder when 44 is divided by g(6).
0
Suppose -2*f - 6 = 0, -3*a + 2*f - 321 = -87. Let u = -6 - a. Calculate the remainder when u is divided by 38.
36
Suppose -12 - 20 = -4*i. Suppose -23*q + 870 = 6*q. Calculate the remainder when q is divided by i.
6
Calculate the remainder when (72 - 47)*72/5 is divided by 25.
10
Let o(s) = s**2 + 31*s + 287. What is the remainder when 513 is divided by o(-8)?
101
Let p be 33/(-55) - 74/10. What is the remainder when -3*(p - 2)*6/18 is divided by 6?
4
Suppose 12 + 8 = l. Suppose 0*w + 3 = 2*w + 3*i, -5*i = 5*w - l. What is the remainder when w is divided by 5?
4
Calculate the remainder when 61 is divided by -26*(-1)/2 - (-15)/(-3).
5
Let l be 1/5*521 + (-6)/30. Suppose o + o = v - l, -o = -1. What is the remainder when v is divided by 27?
25
Let k = -67 + 69. Let l(y) = 2*y + 2. What is the remainder when 33 is divided by l(k)?
3
Suppose 0 = 2*s - 20 + 14. Let d be (-2 - -4) + (-5)/(-1). Suppose -w = s*p - d, p + 4*w + 20 = 5*p. What is the remainder when 7 is divided by p?
1
Let f(a) = 2*a**2 + 39*a - 173. What is the remainder when 16 is divided by f(4)?
1
Let f = 8 - 6. Let i = -56 - -53. Let g(m) = m**2 + 4*m + 5. Calculate the remainder when g(i) is divided by f.
0
Let s = 122 - 55. Let b = s - 58. What is the remainder when 42 is divided by b?
6
What is the remainder when (-18)/(-6) - (-25 + 1) is divided by 21 + (5 - 10) - -1?
10
Let q(x) = 20*x**2 + 9*x + 9. Calculate the remainder when q(-2) is divided by 9.
8
Let n be 1*(-2 + 2)/2. Suppose -i + 7 + 8 = n. Suppose 4*y - 141 = -3*d, 3*y - 41 - 54 = -2*d. Calculate the remainder when d is divided by i.
13
Suppose 61*h - 920 = 15*h. What is the remainder when 517 is divided by h?
17
Suppose 3*w - 227 = -5*f, -f - 425 = 4*w - 9*w. Suppose 0 = -6*s + w + 240. Calculate the remainder when s is divided by 11.
10
Let x(h) = -4*h**3 - 2*h**2 + 2. Let z be x(-2). Suppose -z = -a - 3*q + q, -3 = -q. Calculate the remainder when (-27)/18*74/(-3) is divided by a.
17
Let j(c) = 3*c**2 - 28*c + 138. What is the remainder when 1167 is divided by j(5)?
72
Let w(b) = 33*b**2 - 10*b - 6. What is the remainder when 72 is divided by w(-1)?
35
Let n(q) = -q - 6. Let r(z) = -9 - 4*z - 4*z + z**2 + 12*z. What is the remainder when r(-6) is divided by n(-8)?
1
Let i(m) = 2*m + 3. Let t be i(0). What is the remainder when 63 is divided by 14 + (30/5 - t)?
12
Let v(i) = 13*i**2 + 148*i - 314. Calculate the remainder when (-398)/(-3) + (-2)/(-6) is divided by v(2).
31
Suppose -n = 5*k - 6*k - 197, -16 = 4*k. Let q(b) = -b**3 - 47*b**2 - 178*b - 243. What is the remainder when n is divided by q(-43)?
13
Suppose -60 = -10*j - 20. Calculate the remainder when -3 + 208/36 + j/18 is divided by 2.
1
Suppose 1 = 4*h - 11. Let d(u) = 2*u - 7. Let l be d(5). Suppose -30 = -2*k - 3*k + l*i, 2*i = -10. Calculate the remainder when h is divided by k.
0
Let r = 17 + -17. Suppose 4*z + 220 = 5*n, -n + r = 3*z - 63. Calculate the remainder when n is divided by 17.
14
Suppose -5*d - 74 = -4*q - 505, -4*d + 3*q + 345 = 0. What is the remainder when d is divided by 43?
1
Suppose 0 = -2*m - 0 - 8. Suppose 0 = 5*w - 107 - 113. Let b = w + m. Calculate the remainder when b is divided by 21.
19
Suppose 0 = -3*t + 3*x - 6, -4*x = -3*t - 0*x - 6. Let i = -1 - t. What is the remainder when 6 is divided by 80/15 + i/(-3)?
1
Let p be (-1557)/(-15) + 24/(-30). Suppose 2*j + 99 = 3*l, 19 - p = -3*l - 3*j. Calculate the remainder when 58 is divided by l.
27
Let b(a) = 15. Let f(d) = -d - 16. Let s(g) = 3*b(g) + 2*f(g). Calculate the remainder when s(-19) is divided by (-360)/(-14) + (-4)/(-14).
25
Let y = 49 + -3. Let h = y + -12. Calculate the remainder when 134 is divided by h.
32
Calculate the remainder when (-4)/((-4)/(-2)) - (-2080)/8 is divided by 20.
18
Suppose -3*x = 93 - 279. Calculate the remainder when 182 is divided by x.
58
Suppose 0 = 39*i - 869 - 1081. What is the remainder when i is divided by 18?
14
Calculate the remainder when 56 is divided by (10 + -11)*(-41 + (3 - 5)).
13
What is the remainder when 59 is divided by (-3)/2*70/(-63)*18?
29
Suppose -2*q = 2*n - 2, -q + 2*n + 7 = -3. Suppose -y = -3*j + q*y + 5, 5*j + y = 27. Suppose -54 + 418 = 28*o. What is the remainder when o is divided by j?
3
Let s = -17 + 21. Suppose -s*m + 0*z + 178 = 3*z, m = -4*z + 51. Let r = m + -25. What is the remainder when 51 is divided by r?
15
Suppose 0 = -2*u - 2 - 2. Calculate the remainder when 19 is divided by 14/(-2*u/2).
5
Suppose 77 = 2*y + 2*c - 7*c, -3*y = 2*c - 87. Let x = y - 28. Suppose x*t + b = 46, -b = -2*t - 13 + 52. Calculate the remainder when 31 is divided by t.
14
Let f be ((-27)/6)/((-7)/98). Let z = -37 + f. What is the remainder when z is divided by 9?
8
Let t(j) = -8*j**2 - 200*j + 57. What is the remainder when 127 is divided by t(-25)?
13
Suppose 0 = 2*a + 2*s - 86, -21 = 3*a - 2*s - 170. What is the remainder when a is divided by 4?
3
Let x be 6/(-4)*8/(-3). Suppose -x = -d - d. Calculate the remainder when (-6)/15*(-645)/86 is divided by d.
1
Calculate the remainder when 514 is divided by ((-2)/3)/((-14)/294).
10
Let k(w) be the third derivative of 13*w**5/20 - w**4/6 + 5*w**3/6 + 23*w**2. Calculate the remainder when 197 is divided by k(1).
37
Let q be 2/3 - (-88)/(-6). Let n be 4/(-34) - (-196)/(-68). Calculate the remainder when 14 is divided by (q - 2)*n/6.
6
Let m be (-1)/(-1) + -6 + 8. Suppose -3*y - 5*o + 132 = -y, -m*y + 223 = -5*o. Calculate the remainder when y is divided by 25.
21
Suppose 48 = 5*a + 5*j - 12, a + 5*j - 8 = 0. Calculate the remainder when 393*(-1)/(-18) + (-13)/(-78) is divided by a.
9
Suppose -25 = -2*s + 11. Let c = -29 + 34. What is the remainder when s is divided by c?
3
Suppose 5*l - 205 = -5*a, 5*a - 131 = -5*l + 2*l. What is the remainder when 885 is divided by l?
34
Let c(f) = -f**2 - 3*f + 3*f + 13*f + 6. Calculate the remainder when c(7) is divided by 10.
8
Suppose 19*a = 17*a + 240. Let b = -103 + a. Calculate the remainder when 64 is divided by b.
13
Suppose 2*q - 136 = -26*h + 31*h, 0 = -5*q + 2*h + 361. What is the remainder when 435 is divided by q?
