 n is divided by 4.
3
Let k = 1 + 4. Suppose -k*z = -2*z - 75. Suppose -q = w, 4*q + 3*w + z = 6*q. Calculate the remainder when q is divided by 4.
1
Let t = 724 - 631. Calculate the remainder when t is divided by 88.
5
Let z = -20 - -25. Suppose -2*d + 17 = z. Calculate the remainder when d is divided by 4.
2
Suppose -4*d - 2 = -10. Suppose d*r - 5 = 2*i + i, 4*r - 4*i = 12. Suppose 8*k - 20 = 28. Calculate the remainder when k is divided by r.
2
Suppose 0 = -10*z + 24 + 76. Calculate the remainder when 79 is divided by z.
9
Suppose -j - 20 = -3*q + 4*j, -9 = -2*q - j. Suppose -q*h + 27 + 53 = 0. Calculate the remainder when ((-6)/(-12))/(2/244) is divided by h.
13
Suppose 510 = 166*x - 151*x. What is the remainder when 59 is divided by x?
25
Let g(m) = 28*m**2 - 2. Suppose 5*z - 12 = 2*z. Suppose -s + 5*j = z, -5*s - 5*j = -0*s - 100. Calculate the remainder when g(2) is divided by s.
14
Suppose -3*c - 52 = -3*l + l, -6 = -c - 4*l. Calculate the remainder when 9 is divided by 16/7 + (0 - (-4)/c).
1
Let v(g) = 5*g + 1. Let n(d) = -10*d - 2. Let i(b) = -6*n(b) - 11*v(b). Let f be i(3). Suppose -112 = -4*k + f. What is the remainder when k is divided by 17?
15
Let p be 52/(-5) + (-4)/(-10). Let h = 63 + -44. What is the remainder when h is divided by (253/115)/((-2)/p)?
8
What is the remainder when ((-225)/90)/((-1)/42) is divided by 100?
5
Suppose -2*z + 7 = m, 0*m + 4*m - z - 10 = 0. Suppose v - m*v = l - 4, 5*v + 11 = -l. Calculate the remainder when (-5)/(-4) - -1*796/16 is divided by l.
9
Suppose 4*r + 464 = 5*s, -9*r - 96 = -s - 5*r. Suppose 0 = 4*f - 4*v - s, -2*f - 2*v = -28 - 2. Calculate the remainder when 74 is divided by f.
17
Suppose -1 = -3*q + 5*c, 3*q - 2 + 0 = 4*c. Suppose -2*d - 24 = -2*v, -2 = -2*d + q. Let y = 33 - v. Calculate the remainder when y is divided by 11.
8
Suppose -215 = 21*u - 1748. Suppose -5*w - 6*w = -418. What is the remainder when u is divided by w?
35
Let m(d) = d**3 - 5*d**2 + 6*d + 7. Let x be m(6). Suppose -4*t + x + 57 = 0. What is the remainder when t is divided by 6?
4
Suppose 3*d + 10 = 4*f + 81, 3*d - 79 = -4*f. Suppose d*q = 30*q - 300. Calculate the remainder when 118 is divided by q.
58
Suppose -2*l + 28 = -5*m + 80, 0 = 3*l + 3. Calculate the remainder when m is divided by 3.
1
Suppose -b = -4*x - 43, 6 = -3*x - 5*b - 9. What is the remainder when 61 is divided by (-40)/(-6)*(-24)/x?
13
Suppose 4*m - 117 = 5*r + m, 2*r + 2*m + 50 = 0. What is the remainder when 92 is divided by 3*1/((-3)/r)?
20
Suppose -4*k + k - 5*r = 3, 0 = 4*k - 2*r - 22. Suppose 0 = -3*w + 2*m - m + 83, 0 = w - k*m - 24. What is the remainder when w is divided by 5?
3
Let t = 87 - 76. Let v = -3 + 0. Calculate the remainder when t is divided by (-20)/(-3) + (-1)/v.
4
Let l = 3 - -10. Let w be -1 + -1 - l - -1. Let n(p) = p**3 + 14*p**2 - p - 7. Calculate the remainder when 27 is divided by n(w).
6
Let m = 445 + -438. What is the remainder when 403 is divided by m?
4
Let d(n) = -n**2 + 26*n - 142. Suppose 0 = -2*s + k + 15, -5*k = -s + 5*s - 37. Calculate the remainder when d(11) is divided by s.
7
Suppose -3*v - 3 = 6. Let z = v + -9. Let c = z + 45. Calculate the remainder when c is divided by 18.
15
Suppose -213*o - 120 = -223*o. Calculate the remainder when 62 is divided by o.
2
Suppose 3*c - 90 = -2*i, -2*c - 118 = -3*i + 2*c. Suppose -38*a = -i*a + 444. Calculate the remainder when a is divided by 38.
35
Suppose 6*m - 1089 = -375. What is the remainder when m is divided by (-38)/114 - 362/(-6)?
59
Suppose 4*w - 8 - 64 = 0. Suppose -w*p = -2529 + 387. Calculate the remainder when p is divided by 20.
19
Suppose g - 5*i = 54, -4*g + 9*g = -5*i + 120. Suppose 30 = -l + 4*l. Calculate the remainder when g is divided by l.
9
Let q = -1333 - -1823. What is the remainder when q is divided by 86?
60
Let s(m) = 2*m - 2*m**2 + 3*m**3 - 4*m - 4*m**3 - m**3. Let n be (16/12 - 2)*3. What is the remainder when 34 is divided by s(n)?
10
Let o = 181 - 156. What is the remainder when 222 is divided by o?
22
Let n(d) = -15*d - 50. What is the remainder when n(-7) is divided by 16?
7
Let o(v) = -54*v + 379. Let y = 4 + -2. Calculate the remainder when ((-3)/(-9))/(y/18) is divided by o(7).
0
Suppose -34 = -2*h + 4*f, h = -7*f + 3*f + 17. What is the remainder when 79 is divided by h?
11
Suppose -1215 - 1298 = -7*b. Calculate the remainder when b is divided by 36.
35
Suppose 8 = -8*l + 10*l. Calculate the remainder when 9/(-6) - (-442)/l is divided by 37.
35
Suppose 11*c - 3382 + 3272 = 0. Let j be (1 - (-1 - -2))/(-2). Suppose 3*l + 3*a = 108, -2*a - 201 = -j*l - 5*l. Calculate the remainder when l is divided by c.
9
Let b = -2 - -11. Let h be 397/(-4) + b/(-12). Calculate the remainder when h/(-4) + 0/1 is divided by 7.
4
Let f = 1 - 1. Suppose -5*s + 0 = 25, -w = -s - 9. Suppose -w*j + 92 = -5*g, 3*j = -f*j - 5*g + 34. Calculate the remainder when 33 is divided by j.
15
Suppose 0 = -b + 12 - 3. Suppose b*f - 507 = -4*f. Calculate the remainder when 75 is divided by f.
36
Let x(k) = -k + 15. Let n be x(7). Suppose n = f - 5. What is the remainder when 63 is divided by f?
11
Let w(s) = 59*s + 321. Let q = 339 - 212. What is the remainder when q is divided by w(-5)?
23
Let q(f) = -f**2 + f + 6. Let w be 3 + 78/(-27) + (-68)/(-36). What is the remainder when (-1372)/(-56) + (1/2 - w) is divided by q(0)?
5
Suppose 2*a - 15 = 79. Suppose -3*s - a = -4*z, s = -4*z - 3*s + 40. Calculate the remainder when 41 is divided by z.
8
Suppose -88*n = -15*n - 13286. What is the remainder when n is divided by 46?
44
Let f(v) = 32*v**2 - 3*v. Let r(m) = 84*m + 31. What is the remainder when f(2) is divided by r(0)?
29
Suppose 0 = -6*j + 3*j + 15. Suppose -3*q = j*g - q + 129, g + 17 = 4*q. Let v = g - -43. What is the remainder when 51 is divided by v?
15
Let i = 188 - 109. What is the remainder when i is divided by 3?
1
Suppose -x - x = -10, 5*d + 20 = -2*x. Let s = -4 - d. Let p(h) = 3*h**2 - 3*h + 1. What is the remainder when 27 is divided by p(s)?
6
Suppose 6*o + 119 - 23 = 0. Calculate the remainder when 6 + (-6 - 2) - (1 + o) is divided by 6.
1
Let r = 23 - 18. Let m(j) = -6*j**3 + 3*j**2 + 2*j - 2. What is the remainder when m(-2) is divided by r?
4
Let u be 5070/(-60) + ((-3)/2)/3. Let v = -67 - u. What is the remainder when v is divided by 7?
4
Let p(r) = 6*r**2 - 20*r + 96. What is the remainder when p(5) is divided by 53?
40
Let b(w) = w**3 - 10*w**2 - 263*w + 30. Calculate the remainder when 777 is divided by b(22).
49
Let n = 68 + -24. Suppose 3*m - 2*m + c - n = 0, 5*c - 15 = 0. Calculate the remainder when m is divided by 108/(-135)*715/(-52).
8
Suppose 9*w - 30 = -w. Suppose -118 = -w*d - 5*c, 2*c + 3 = -c. Calculate the remainder when d is divided by 15.
11
Let i = 978 - 920. What is the remainder when i is divided by (8/(-1))/(1/(-2))?
10
Let u = 313 - 191. Suppose -19*f = 7*f - 650. What is the remainder when u is divided by f?
22
Let i = 566 - 413. What is the remainder when i is divided by 53?
47
Suppose 1 = 5*h + 21. Let s(q) = 10*q**2 - 3. What is the remainder when s(3) is divided by h/(-12) + 159/9?
15
Let k(u) = -u**2 - 18*u - 35. Calculate the remainder when 1289 is divided by k(-13).
29
Let o(m) be the third derivative of -m**6/30 - m**5/60 + m**4/6 + m**3/2 + 8*m**2. Calculate the remainder when o(-2) is divided by 7.
2
Suppose 9*u = 187 + 488. What is the remainder when u is divided by 20?
15
Let t(o) = -o**2 - 16*o + 2. Calculate the remainder when ((-44)/33)/((-2)/12) is divided by t(-16).
0
What is the remainder when -49*(-12 - (-70)/10) is divided by 43?
30
Let t = 113 - 85. Let g = 190 + -82. Calculate the remainder when g is divided by t.
24
Suppose -5*a - 2*y = y - 234, -2*y = -6. Calculate the remainder when a is divided by 23.
22
Let t(p) = -p**3 + 16*p**2 + 21*p - 12. Let j be t(17). Let u = j - 31. Calculate the remainder when u is divided by 14.
11
Let d = 581 - 563. What is the remainder when 179 is divided by d?
17
Suppose 0 = f + t - 13, -2*f + 2*t + 34 = -0*f. Let s(j) = -j**3 + 15*j**2 + j - 8. Let i = -9 - -21. What is the remainder when i is divided by s(f)?
5
Let z(x) = x**3 - 15*x**2 + 54*x + 22. Let k = 3 + 40. What is the remainder when k is divided by z(9)?
21
Let n(t) = 3*t**2 - 7*t - 5 + 0 - 3 