he remainder when n is divided by 21.
17
Let o be ((-29)/(-2))/(5/10). Suppose 5*a + o = -h + 4, 0 = -4*a - 4*h - 36. Let g = a + 17. What is the remainder when 38 is divided by g?
12
Suppose 18 = k - 4*i, 3*k - 58 - 56 = -3*i. Calculate the remainder when 362 is divided by k.
22
Suppose 6*f + 72 = 162. What is the remainder when 51 is divided by f?
6
Let r = 41 + -26. Let i(k) = 2*k**2 - 27*k + 12. What is the remainder when i(r) is divided by 10?
7
Suppose -2*n - v - 62 = -2*v, 8 = 2*v. Let u = 128 + n. What is the remainder when u is divided by 34?
31
Let s = -35 + 46. What is the remainder when 163 is divided by s?
9
Suppose 34*l - 758 = 296. Calculate the remainder when 118 is divided by l.
25
Let n = 1362 - 1348. What is the remainder when 43 is divided by n?
1
Let x = 1096 - 998. What is the remainder when x is divided by 50?
48
Let y(h) = -h**3 + 53*h**2 - 55*h + 170. Calculate the remainder when 64 is divided by y(52).
8
Suppose -7*t = -2*t + 3*p + 55, -2*p = -t - 11. Let n = t + 47. Calculate the remainder when n is divided by 20.
16
Let j(x) = -x**3 + 36*x**2 - 33*x - 40. What is the remainder when 80 is divided by j(35)?
20
Let y be (-48)/(-84) - 8/14. Let s be (y - 8/28)*-7. Suppose -100 = -4*m - s*w + 6*w, 5*w = -4*m + 82. What is the remainder when 91 is divided by m?
22
Let n(p) be the third derivative of p**5/12 - p**4/6 + p**3/3 + 34*p**2. Calculate the remainder when 69 is divided by n(2).
13
Let u(c) be the first derivative of 43*c**2/2 + 14*c + 50. What is the remainder when u(5) is divided by 58?
55
Suppose 3*q - 94 = u - 52, -3*q - 3*u + 42 = 0. What is the remainder when 40 is divided by q?
12
Let z = 206 + -122. Let q(h) = 66*h + 281. Calculate the remainder when z is divided by q(-4).
16
Let o = 825 + -342. What is the remainder when o is divided by 22?
21
Suppose 4*q - 12 = 0, 2*b + b + 4*q = 57. Calculate the remainder when b is divided by ((-8)/12)/((-1)/6).
3
Suppose -6*j + 563 - 83 = 0. Let f = j + -36. Calculate the remainder when 174 is divided by f.
42
Let g be (-1)/(-7) + -5 + 375/21. Suppose o + 0*n + 5*n = g, 8 = -4*n. What is the remainder when 87 is divided by o?
18
Let t(b) = -b**2 - b**3 + 9*b**2 + 22*b - 17*b + 1. Let d(f) = f**3 - f**2 - 3*f + 2. What is the remainder when t(8) is divided by d(3)?
8
Let o be (-4)/(-6) - 46/6. What is the remainder when 9 is divided by (o/14)/(((-4)/2)/32)?
1
Suppose 12 = z + m, 5*m + 57 = 5*z - z. Calculate the remainder when 4 + (-702)/52*(-16)/6 is divided by z.
1
Let h be 34 - -2*(-2)/2. Suppose h = t - 0*t. Calculate the remainder when t is divided by 588/63 + (-2)/6.
5
Suppose -3*n + 2*w + 11 = 0, -2*n - 2*w + 17 = -n. Let q(h) = -2*h**2 - 5*h - 4. Let o be q(-3). Let i = 4 - o. Calculate the remainder when i is divided by n.
4
Suppose -154 = 8*j - 9*j. What is the remainder when j is divided by ((-2)/(-6))/((-1)/390*-5)?
24
Suppose 11*l - 247 = -170. Calculate the remainder when 138 is divided by l.
5
Let d(s) = 5*s**2 - 18*s + 25. Calculate the remainder when d(8) is divided by 64.
9
Let o = -113 - -74. Let k = o + 52. What is the remainder when 37 is divided by k?
11
Let d be 118 + 1 + (0 - 0). Let p = 8 + d. What is the remainder when p is divided by 32?
31
Suppose 3*o = -2*k + 22, -4*o + 7*k - 4*k = -18. Suppose 5*b + o*b - 132 = 0. What is the remainder when 56 is divided by b?
8
Suppose -28*h - 115 = -33*h. Suppose 4*b - 4*f - 48 = 0, -4*f + 5 = 3*b - 10. Let t = 15 - b. Calculate the remainder when h is divided by t.
5
Suppose r - 44 = -0*r. Suppose 2*g = 3*v + 5 + 153, 5*g - 437 = -3*v. What is the remainder when g is divided by r?
41
What is the remainder when -5 - (-360 - -8 - 3) is divided by 92?
74
Let b be (0 - (-36)/15)/(9/30). What is the remainder when (b/4)/(4/86) is divided by ((-2)/2)/((-2)/22)?
10
Let t(a) = 22*a - 309. What is the remainder when t(51) is divided by 22?
21
Suppose -330 = -7*c + c. Let l = c - 20. What is the remainder when 139 is divided by l?
34
Suppose 232 + 128 = 9*h. Calculate the remainder when 69 is divided by h.
29
Suppose -4*q - 156 = -2*g - 2*g, -2*g = 3*q - 93. Suppose 38 = 2*y - 4*k, 0 = 71*y - 73*y + 2*k + 34. What is the remainder when g is divided by y?
12
Let f = 242 - 205. What is the remainder when f is divided by 14?
9
Suppose 0*y - 53 = -2*g + 5*y, -5*g + 4*y = -124. Suppose -3*a = -5*a + g. Calculate the remainder when 22 is divided by a.
10
Let o(f) = 54*f + 575. Suppose -5*u = 4*r - 40 - 18, -3*u + 5*r = -20. Calculate the remainder when o(-10) is divided by u.
5
Suppose u - 12 = v, 3*v = -2*v + 10. Suppose -u = -5*z + 21. Suppose -6*b + 8*b = 10. Calculate the remainder when z is divided by b.
2
Suppose -o = 2*w - 33 - 16, 5*w + 21 = o. Calculate the remainder when -2*o/2*-1 is divided by 15.
11
Let j(b) = 2*b**3 - 4*b**2 + b + 5. Let v = 230 - 155. Calculate the remainder when v is divided by j(3).
23
Let t = -121 - -82. Let x(d) = 5*d**2 - 29*d + 8. What is the remainder when t/(-12)*(0 + 12) is divided by x(6)?
11
Suppose 3*v = -15, c - 10 = -2*c - v. Suppose 0 = c*y - 4*y - 2. What is the remainder when 10 is divided by y?
0
Suppose 70 = p + 51. Calculate the remainder when 34 is divided by p.
15
Suppose 3*f + 4*r = 59, 2*r - 87 = -3*f - 26. What is the remainder when f is divided by 5?
1
Let l = 15 + -7. Let n = -9 + l. What is the remainder when 7 is divided by 2*10*n/(-4)?
2
Suppose 0 = -2*l + 8*h - 3*h + 126, 3*l - 3*h - 171 = 0. What is the remainder when l is divided by 579/21 + (-30)/(-21) + -2?
26
Let t(y) = 15*y - 5. Let r be t(-3). Let f = -19 - r. What is the remainder when f is divided by 16?
15
Suppose -z = -4*k + 20, 0*k - 5*k - 2*z = -25. Suppose -86 = -3*g + 2*c, 0*c - k*c + 40 = g. Calculate the remainder when g is divided by 11.
8
Suppose -3*j = 4*w - 2*j - 41, -4*w + 38 = 2*j. Let c = 4 + w. Let v(d) = 5*d - 38. Calculate the remainder when v(13) is divided by c.
12
Suppose -7*t - 12*t + 475 = 0. What is the remainder when t is divided by (-4 + 35/5)/1?
1
Let j(d) = -7*d - 58. Let z be j(-7). Calculate the remainder when (-2 + 1 - -192)*(z + 10) is divided by 49.
44
Suppose 72 = 2*u + 35*l - 33*l, -40 = -u + 3*l. What is the remainder when u is divided by 12?
1
Suppose -b + 2*x = -51, -168 = -3*b + 4*x - x. Suppose -158 + 30 = -4*l. Calculate the remainder when b is divided by l.
29
Let f be (46 - (7 - 4)) + -1. Suppose -4*m + m = 15, r - f = m. Suppose 3*l - 309 - 132 = 0. Calculate the remainder when l is divided by r.
36
Let t(w) = w**3 - 12*w**2 - 12*w - 11. Let d be t(13). Suppose 0 = -5*i - 21 + 121. Let b = i - d. What is the remainder when 70 is divided by b?
16
Suppose 0*w = 5*g - 3*w + 3, -3*w = 2*g - 3. Suppose 2*f + g - 22 = 0. Calculate the remainder when 63 is divided by f.
8
Suppose 0 = 4*v - 3*w - 693, 152 = v - w - 4*w. Calculate the remainder when v is divided by 26.
21
Suppose 7 = b + 2. Suppose 22 = -4*g + b*g. Let t = 5 + 7. Calculate the remainder when g is divided by t.
10
Let a be (-2)/((-4)/6 + 0). Suppose 2*l - 4 = 4*l, a*i - l = 119. Suppose 10*y + 370 = 580. What is the remainder when i is divided by y?
18
Suppose -2*t - 30 = -5*l, -5*l = 4*t - 20 - 40. Suppose 0 = 3*j - 4*j + 3. Suppose j*y = 38 + 25. Calculate the remainder when y is divided by l.
5
Suppose 13*a - 19*a = -306. Calculate the remainder when 407 is divided by a.
50
Suppose 0 = 16*q - 18*q + 30. What is the remainder when 193 is divided by q?
13
Suppose 0 = 5*l + 5*h - 270, 4*l + l - 2*h - 263 = 0. Calculate the remainder when l is divided by 13.
1
Let z = 1100 - 1056. What is the remainder when 162 is divided by z?
30
Let y(j) = 3*j**2 + 2*j + 1. Let c(f) = -f**3 - 4*f**2 - 5*f - 4. Let p be c(-3). Calculate the remainder when 66 is divided by y(p).
15
Suppose 7*p = -31 - 109. Calculate the remainder when 123 is divided by 10/(-1)*p/8.
23
Let n be (-9904)/(-64) - (-2)/8. Let o = 0 + 4. Suppose -o*q = q - n. What is the remainder when 121 is divided by q?
28
Let w(p) = -4*p**2 - 19*p + 20. Let m(s) = s**2 + 5*s - 5. Let k(q) = -9*m(q) - 2*w(q). Calculate the remainder when 46 is divided by k(-4).
12
Suppose -60 = -2*f + m, -f + 3*m = -m - 44. Let q = -473 + 483. Calculate the remainder when f is divided by q.
8
Let i = -24 - -55. Let m = i + 3. What is the remainder when m is divided