culate the remainder when ((-30)/30)/(1/(-311)) is divided by 19.
7
Suppose 2*r = 4*t - 22, 3*t + 3*r + 18 = 6*t. Suppose -2*m - 7 = -3*s - 0*s, m + t = 0. What is the remainder when 18 + (1 - 3 - s) is divided by 6?
5
Let n = -15 + 39. What is the remainder when (n/(-10))/(77/(-25) + 3) is divided by (-1)/((2/11)/(-2))?
8
Suppose -o + 33 = -4*w - 93, -3*o + 154 = -5*w. Let r = -60 - w. Let b = r - -42. Calculate the remainder when 25 is divided by b.
11
Let w(x) = -9*x - 26. Calculate the remainder when w(-6) is divided by (30/9)/((-12)/(-54)).
13
Let n = 29 + -20. Suppose -n*o + 172 = 19. Calculate the remainder when 83 is divided by o.
15
Suppose -5*x + 14 = -101. Suppose -x = -3*f - 5. Calculate the remainder when 17 is divided by f.
5
Let d = 39 - 6. Let b(r) = -13*r + 5. Let x = 18 + -25. What is the remainder when b(x) is divided by d?
30
Suppose -2*z + 34 = -0. Suppose -15 = 12*q - z*q. Calculate the remainder when 6 is divided by q.
0
Suppose 5*z - 142 - 88 = 0. What is the remainder when z is divided by (20/(-5))/((-1)/7*1)?
18
Suppose 45*m = 50*m - 65. Calculate the remainder when 321 is divided by m.
9
Let f(x) = -3*x + 23. Let g be f(7). Suppose -3*a - 2*i + 33 = -0*i, g*a = i + 29. Calculate the remainder when 88 is divided by a.
10
Calculate the remainder when 331 is divided by 1562/55 + 8 + 6/10.
35
Suppose 4*w + 3*k = -0*w + 254, -w + 57 = 4*k. Let d = -21 + 54. Calculate the remainder when w is divided by d.
32
Let t(p) = p**3 + 15*p**2 + 27*p + 19. Let i be t(-13). Suppose 19*a = 21*a - i. Calculate the remainder when 1/(-2)*-2*4 is divided by a.
1
Let k(i) = -10*i - 103. Calculate the remainder when 379 is divided by k(-18).
71
Suppose 3*a - a - 56 = 0. Suppose 0 = 2*h - 4*h + a. Let d = h - 7. Calculate the remainder when 25 is divided by d.
4
Let j = 584 + -411. What is the remainder when j is divided by 22?
19
Suppose 10*a = 5*a + 3*u + 87, 5*u = -a - 5. Suppose 3*j - 7*y = 213, -5*j = -0*y - 2*y - 355. What is the remainder when j is divided by a?
11
Suppose -2*k + 4*k = -48. Calculate the remainder when (-1998)/k - 1/4 is divided by (460/(-30) - -8)*-3.
17
Suppose 0 = 3*i - 7*i + 704. Suppose 10*c = 562 + 28. Calculate the remainder when i is divided by c.
58
Let c(a) = a**3 + 3*a**2 - 5*a - 2. Calculate the remainder when 2 - 3 - (5 + -53) is divided by c(-3).
8
Suppose -l + 2*s = -0*s - 57, 3*l - 4*s - 167 = 0. Suppose 12*w - 369 + 45 = 0. Calculate the remainder when l is divided by w.
26
Suppose 10*t = 3*t + 2947. Suppose -4*c - 3*k = -t, 5*c - k - k - 532 = 0. What is the remainder when c is divided by 18?
16
Suppose -56*c = -57*c + 5. Suppose -2*i + i + n = -15, -3*n + 43 = c*i. What is the remainder when i is divided by -1*(0 + -8 + 2)?
5
Suppose -25 = -2*z + b, 4*b - 80 = -14*z + 10*z. What is the remainder when 56 is divided by z?
11
Let g(w) = 2*w - 27. Let t be g(-10). What is the remainder when (t/(-4))/((-2)/(-16)) is divided by 20?
14
Suppose 4*b - v + 327 = 0, 2*b + v + 78 = b. What is the remainder when (-3 + (10 - 0))*5 is divided by 160/9 + (-18)/b?
17
Let i(n) = 3*n**2 + 26*n - 260. Calculate the remainder when i(11) is divided by 98.
95
Let g be (-1)/(2/(141 - -1)). Let i = -45 - g. Let w = 208 - 159. Calculate the remainder when w is divided by i.
23
Let n(g) = -g + 15. Suppose -3*h + 4*h = 3. Suppose -6*z + 81 = -h*z. Calculate the remainder when z is divided by n(0).
12
Suppose -9*f = -6*f + 375. Let g = f + 141. Calculate the remainder when 92 is divided by g.
12
Suppose -6*i = -18 - 108. Suppose -x = -12 + 6. Calculate the remainder when i is divided by x.
3
Suppose 65 - 5 = 12*r. Suppose 5*s - 9 = 2*m - 3*m, 0 = 3*m + r*s - 17. What is the remainder when m is divided by 3?
1
Let v(b) = -2*b**3 + 96*b**2 + 2*b - 65. What is the remainder when 209 is divided by v(48)?
23
Suppose 18*v = 24*v - 396. Calculate the remainder when 131 is divided by v.
65
Let w = 779 - 524. What is the remainder when w is divided by 65?
60
Let h be ((-6)/4)/((-42)/112). Let y = h + 3. Suppose -11*n = -y*n - 72. Calculate the remainder when 34 is divided by n.
16
Calculate the remainder when 5/(-20) + 433/4 + -6 is divided by 41.
20
Let r = 309 + -219. What is the remainder when r is divided by 32?
26
Let z be 2/(28/6 + -4). Suppose -z*x - x = 2*n - 28, -3*n + 14 = 2*x. What is the remainder when 17 is divided by x?
3
Suppose 3*p - 926 = -281. What is the remainder when p is divided by -3 - (-152)/4 - 4?
29
Suppose 2*h + 7*h = 90. Let t be (-95)/((-2)/4*2). Suppose 8*g - 3*g - t = 0. What is the remainder when g is divided by h?
9
Suppose 0 = 3*x - 36 - 60. Let z = -197 + 203. What is the remainder when x is divided by z?
2
Let z be (-3 - -2)/(2/(-4)). Suppose -z*k + 18 = -22. Suppose 3 = -v - 4*d + 6, 4*v - 50 = 3*d. What is the remainder when k is divided by v?
9
Let q(k) = k**3 - 4*k**2 + 4*k + 3. What is the remainder when q(3) is divided by 2?
0
Suppose -6*j - f = -2*j - 1021, 4*j - 2*f = 1030. Suppose -5*q - 76 = -t, -q - j = -t - 2*t. Let z = t - 44. What is the remainder when z is divided by 23?
19
Suppose 7*d = 4*d - 63. Let p(r) = -r**2 - 21*r + 27. Calculate the remainder when p(d) is divided by 17.
10
Let d be 775 - -1*(0 - -5). What is the remainder when d/104*(-1 - (-14)/6) is divided by 6?
4
Suppose 8*c = 3*c. Suppose -2*f - 2*f - 3*y + 213 = c, f = -y + 54. Calculate the remainder when f is divided by 19.
13
Let s = -123 + 335. Calculate the remainder when s is divided by 29.
9
Let i(y) = 6*y**2 + 2*y - 3. Suppose 3*q - 2 = -3*z + 22, -3*z - 4 = -4*q. Suppose 7*k + q*k = 99. Calculate the remainder when i(2) is divided by k.
7
Let y = -102 + 114. What is the remainder when 102 is divided by y?
6
Let p(t) = 3*t**3 + 27*t**2 - 14*t - 12. Calculate the remainder when p(-9) is divided by 104.
10
Suppose -u + 92*k - 87*k = -148, 3*k = 2*u - 317. What is the remainder when u is divided by 17?
10
Suppose -5*o + 2*o = 0, 15 = k - 4*o. Calculate the remainder when 80 is divided by k.
5
Suppose 2 + 8 = 5*y. Suppose -y*d - 2*d + 76 = 0. Calculate the remainder when d is divided by 5.
4
Suppose 2*v + 0 = 6. Suppose -i + 36 = v*i. Calculate the remainder when 17 is divided by i.
8
Suppose -303 + 98 = -5*s. What is the remainder when s is divided by 12?
5
Let d(c) = -8*c - 1. Suppose -5*r - 2 = 3*m, 5*r + 3 = 3*m + 25. Calculate the remainder when d(m) is divided by 8.
7
Let u = -1948 - -1956. Calculate the remainder when 110 is divided by u.
6
Suppose 3*x = 3*m - 30, -26 = -5*m + 4*x + 28. Suppose 41*v = 5*v + 4356. Calculate the remainder when v is divided by m.
9
Let t = 14 + -24. Suppose -5*u + 6*q = 2*q - 54, 0 = -u - 5*q + 34. What is the remainder when 53/2*t/(-5) is divided by u?
11
Calculate the remainder when 61 is divided by (-27)/36*14/(-3)*2.
5
Let i(d) = -d**3 - 4*d**2 - 2*d + 1. Let g(z) = 2*z + 6. Let s be g(-4). Let x be i(s). Let l = x + 4. What is the remainder when l is divided by 1?
0
Let q = -8 + 10. Let a(x) = 4*x + 0 + x + x**q + 10. Calculate the remainder when 16 is divided by a(-4).
4
Let s(v) = v. Let m(d) = d**2 - 12. Let w(z) = m(z) + 5*s(z). Let g = 8 - 0. Calculate the remainder when g is divided by w(-7).
0
Let n(l) = -2*l**2 + 40*l - 37. Let u be n(17). Suppose 5*f - u + 15 = 0. What is the remainder when 35 is divided by f?
5
Suppose 0 = -26*p + 24*p. Suppose p = -3*n + 4*m + 234, 186 = -5*n + 4*m + 584. What is the remainder when n is divided by 21?
19
Let k(r) = r**2 + 26*r - 108. What is the remainder when 322 is divided by k(-30)?
10
Suppose -l + 31 = -v, 0 = v + 4 - 0. Calculate the remainder when 125 is divided by l.
17
Let g(o) = 16*o - 10. What is the remainder when g(10) is divided by 44?
18
Let k(i) be the first derivative of 5*i**2/2 - 13*i - 20. Calculate the remainder when 127 is divided by k(9).
31
Let o(n) = 13*n**3 + 2*n**2 + 2*n - 3. Calculate the remainder when 40 is divided by o(1).
12
Let p = -74 - -82. Suppose 11*z - p*z - 57 = 0. What is the remainder when z is divided by 4?
3
Let b(o) = 7*o**2 - 4*o + 7. Let p(l) = 15*l**2 - 7*l + 15. Let c(k) = 9*b(k) - 4*p(k). Let z = -4 - -6. Calculate the remainder when c(3) is divided by z.
0
Suppose -76*u = -79*u + 36. What is the remainder when u is divided by 4?
0
Suppose 4*r = n - 21, 3*r + 23 = 3*n - r. Suppose 