 by 19?
16
Let i = 226 - 205. Let f(s) = -s**3 - 5*s**2 + 7*s + 6. Let v be f(-6). Suppose 2*w - 166 = -v*w. What is the remainder when w is divided by i?
20
Suppose 4*z = -w + 60, 8*w - 3*w - 90 = -5*z. Calculate the remainder when 37 is divided by (-7)/(z/4) - -8.
1
Let h be ((-12)/30)/((-2)/5) - -2. Suppose -5*g + 37 = 5*t - 3, 0 = -h*g + 3*t + 24. What is the remainder when g is divided by 3?
2
Let m(h) = h + 4. Let d(o) = -o - 2. Let s be d(2). Let b(g) = 2*g + 3. Let y(z) = s*b(z) + 3*m(z). What is the remainder when 29 is divided by y(-2)?
9
Suppose -5 = 4*g - 17. Let d be 12/(-6) + (0 - 3). Let f = d - -15. What is the remainder when f is divided by g?
1
Let m = -9 - -11. Suppose 3*r + 0*d = -d + 224, m*r - 2*d = 136. Let q = 115 + -96. What is the remainder when r is divided by q?
16
Suppose -k + 103 = 2*i, 394 = 6*k - 2*k - i. What is the remainder when k is divided by 20?
19
Let t(x) = -3*x**2 - 77*x - 29. What is the remainder when t(-25) is divided by 9?
3
Suppose 23*n - 606 = 17*n. Calculate the remainder when n is divided by 21.
17
Let s(f) = -3*f**2 + 2*f + 6. Let z be s(-4). Let c = -2812 - -2825. Calculate the remainder when (4/(-1))/(4/z) is divided by c.
11
Suppose 79*h = 66*h + 637. Calculate the remainder when h is divided by 9.
4
Suppose l - 2*p - 5 = 0, -3 = 5*l - 2*p - 28. Let f be 188 + ((-8)/(-4) - l). Let b = f - 111. Calculate the remainder when b is divided by 19.
17
Suppose 2*j + 1 + 1 = 0, -u + 5 = -j. Suppose -u*x + k = -x - 476, -k + 630 = 4*x. Calculate the remainder when x is divided by 16.
14
Let b = 7 - -1. Let w = 282 - 245. What is the remainder when w is divided by b?
5
Let y be (-2)/(-9) - (-338)/18. Suppose -4*g = -5*g + y. What is the remainder when g is divided by -1*(-1)/(2/10)?
4
Suppose 2*t + f = 18, 5*f + 30 + 6 = 4*t. Suppose -8*n = -12*n - 4. What is the remainder when t is divided by 0 + 4/1 + n?
0
Suppose 23 + 168 = 2*d - 3*s, 0 = -5*d + 3*s + 482. Calculate the remainder when d is divided by 21.
13
Suppose -12 = 6*a - 36. Suppose -3*p = -4*g + 1, -p = 4*g - 25 + a. Calculate the remainder when 0/(p - 4) - -93 is divided by 16.
13
Let g be 1 + 2 + -8 + 5. Suppose -69 = -3*a + l, 0 = -2*a - g*l + 2*l + 46. What is the remainder when a is divided by 8?
7
Suppose -2*o = -0*o - 3*v - 4, 2 = o + 5*v. Suppose 20 = c - o*q, 4*q + 0*q = 3*c - 50. What is the remainder when 26 is divided by c?
6
Suppose 5 - 2 = q. Let j be 328/(-1) + -2 + q. Let b = -221 - j. What is the remainder when b is divided by 27?
25
Suppose 5*w - 42 = -w. Suppose -5*m = -w*m + 48. Calculate the remainder when 46 is divided by m.
22
Let h(v) = 378*v**2 - 3*v. Calculate the remainder when h(-1) is divided by 12.
9
Let m(o) = 8*o - 8*o + 3*o + 2 + 10*o. Let x be m(2). Let f = x - 18. What is the remainder when 37 is divided by f?
7
Let s(v) = -2*v + 5. Suppose 0 = -2*z + z - 2*c + 5, 5*z - c = -30. Let k be s(z). Calculate the remainder when (-6)/k - 261/(-15) is divided by 6.
5
Let h(d) = -2*d**3 + 14*d**2 + d - 1. What is the remainder when 232 is divided by h(7)?
4
Let t = 25 - 12. Suppose 5*q - 2*g = -9, 3*g = -0*q + q - 6. What is the remainder when (-1)/1*((q - -3) + -22) is divided by t?
9
Let o = 88 - 79. Let h(n) = 1 - n + 13 - 4 + 8. What is the remainder when h(o) is divided by 2?
1
Let l = -29 + 29. Calculate the remainder when 11 is divided by 1*((-3 - l) + 6).
2
Let l = 30 + 24. Suppose 0*w + 51 = w + 2*m, -w - 5*m + l = 0. Calculate the remainder when w is divided by 15.
4
Let h = 2616 - 2590. Calculate the remainder when h is divided by 1 + -1 + 0 + 6.
2
Suppose -238*j + 6548 = -234*j. Calculate the remainder when j is divided by 82.
79
Calculate the remainder when -12*(76/(-16) + 5) + 74 is divided by 8.
7
Suppose -33*d + 6*d + 621 = 0. What is the remainder when 180 is divided by d?
19
Let t = 24 + -24. Suppose -6*y + 474 = -3*y - 2*g, t = -2*y - 4*g + 332. Calculate the remainder when y is divided by 41.
37
Let r = -10 + 28. Calculate the remainder when 43 is divided by r.
7
Let l(a) = -a**2. Let u be l(1). Let o = 5 - u. Calculate the remainder when 62 is divided by o/9 - 46/(-3).
14
Suppose 6*a = 5*a + 1. What is the remainder when (a - 97/2)*-2 is divided by 24?
23
Suppose -9*l + 72 = -27. Calculate the remainder when 53 is divided by l.
9
Suppose -d - d = -m - 1, 0 = 5*d - 10. Let a(o) = 2*o**2 - o - 6. Calculate the remainder when 26 is divided by a(m).
8
Let v(j) = j**2 + 2*j + 2. Let s be v(-5). Let b = s + -9. What is the remainder when 49 is divided by b/(-20) - 132/(-5)?
23
Let u = 66 - -99. Let h(c) = -2*c + 1. Let g be h(5). Calculate the remainder when 42 is divided by -3*(u/g)/5.
9
Let o be (-2)/1*((-82)/(-4) - -4). Let y = o - -62. Calculate the remainder when 75 is divided by y.
10
Let i(w) = -w**2 - 2*w + 25. Let d be (-4)/10*(-1 + 6). Calculate the remainder when i(0) is divided by 0 + (-1 - d) + 8.
7
Let z = 467 - 443. Calculate the remainder when 237 is divided by z.
21
Suppose -2*a + 68 = 5*c, a - c - 29 = 5. What is the remainder when a is divided by 23?
11
Let x(f) = 8*f**2 - 181*f - 4. What is the remainder when 323 is divided by x(23)?
63
Let y(s) = -5*s - 1 + 2*s + 4*s + s. Let m be y(2). Suppose m*h + 3*o - 189 = o, -3*h + o = -198. What is the remainder when h is divided by 17?
14
Suppose -5*p - 17 + 182 = 0. What is the remainder when p is divided by 9/(-2)*(37 - 39)?
6
Suppose 0 = 4*b - 0 + 4, -2*u + 3*b = -3. Suppose -4*n + c = -60, -4*n + u*c + 60 = c. Let a(t) = -12*t + 1. What is the remainder when a(-6) is divided by n?
13
Let b(y) be the second derivative of y**5/20 - 2*y**4/3 + 5*y**3/6 - 5*y**2/2 + 5*y. Calculate the remainder when 102 is divided by b(8).
32
Let o be 45/(-2)*60/(-45). Calculate the remainder when o - (5/10 - 1/(-2)) is divided by 11.
7
Suppose 0 = -2*r - 4*a + 54, -5*a + 11 = 2*r - 42. Calculate the remainder when 56 is divided by r.
27
Let g(c) = -90*c**3 + 1. Let z = -14 + 18. What is the remainder when g(-1) is divided by z - ((-6)/3 + -17)?
22
Suppose 2*t - 3*t - 3 = 0, 2*t = -3*s + 54. Let r = 599 + -540. Calculate the remainder when r is divided by s.
19
Suppose 8*t - 258 = 5*t. Let h = t + -54. Suppose -2*j + 21 = -13. Calculate the remainder when h is divided by j.
15
Suppose 0*h + 4*h = 124. What is the remainder when 0 - (5 - -118)*6/(-18) is divided by h?
10
Suppose -5*b + 1425 = 29*z - 27*z, b = 2*z + 297. Calculate the remainder when b is divided by 68.
15
Let v(j) = -5*j - 8. What is the remainder when v(-9) is divided by 1 + 1 + 8 + 0?
7
Suppose -55*j + 285 = -36*j. What is the remainder when 311 is divided by j?
11
Suppose 13*u = -71 + 409. What is the remainder when u is divided by 11?
4
Let p(i) = -11*i + 438. Calculate the remainder when 41 is divided by p(37).
10
Let b = 53 - 33. What is the remainder when b is divided by 5?
0
Suppose -l = -t + 2, 0 = 3*l + 2*l + 5*t - 30. Calculate the remainder when (-51)/(-15) - (-4)/(-10) is divided by l.
1
Let y = -1516 + 1840. What is the remainder when y is divided by 26?
12
Let z = -1690 - -1704. Calculate the remainder when 1343 is divided by z.
13
Let m = 0 - -9. Let j(n) = -8*n + 191. What is the remainder when j(22) is divided by m?
6
Let z = 86 + -60. Let l = -7 + z. What is the remainder when l is divided by 7?
5
Suppose -5*a + 3*a = -3*a. Suppose -2*p + 34 = -a*y + 2*y, 2*p - 36 = -y. What is the remainder when 89 is divided by p?
13
Let n(d) = d + 3. Let l(b) = b**3 - 7*b**2 + 2*b - 10. Let u be l(7). Suppose -r = 3*r - 52. Calculate the remainder when r is divided by n(u).
6
Let k = 1982 + -1569. Calculate the remainder when k is divided by 82.
3
Let b(k) = -k**3 - 7*k**2 - 5*k + 8. Let t be b(-7). Let q = -31 + t. What is the remainder when (-65)/(-3) + 2/(-3) is divided by q?
9
Let n(r) = r**2 + 6*r + 9. What is the remainder when ((-14)/21 - (-2)/(-6))*-69 is divided by n(-8)?
19
Suppose -9*g - 28 = -8*g. Let t = 31 + g. Calculate the remainder when 11 is divided by t.
2
Let x(a) = -3*a + 1. Let l(y) = -y**2 - y - 1. Let b be l(-2). Suppose -3 = -5*p + c + 8, -2*p - 10 = -4*c. Calculate the remainder when x(b) is divided by p.
1
Let c(s) = -2*s + 1. Let k be c(-1). Suppose 2*x + k*x = 25. Suppose -x*p = -p - 104. Calculate the remainder when p is divided by 14.
12
Suppose -69 =