- -8. Let w(i) = 29*i - 36. Let n be w(7). Suppose 0 = 3*b + 3*m - 195, 0 = -3*b + 2*m + 2*m + n. What is the remainder when b is divided by h?
19
Suppose 3*z + 672 = 15*z. What is the remainder when z is divided by 34?
22
Let m be 1 - (-1 - -5) - (10 + -11). Calculate the remainder when -6*(m/(-6) - 33/9) is divided by 11.
9
Suppose 0 = -j - h - 2, -3*j - 8 = -j + 3*h. Suppose -j*s - 5 = -7*s - 5*t, -s + t = -7. Suppose -s = v - 2*v. Calculate the remainder when 13 is divided by v.
1
Let n(x) = x**2 - 5*x + 10. Let m be (-85)/80*-4 + 1/(-4). Calculate the remainder when 33 is divided by n(m).
3
Let r(y) = -y**3 - 4*y**2 + 6*y - 1. Let f be r(-5). Let i(w) = -10*w - 2. Calculate the remainder when i(f) is divided by (-3)/((3/18)/(40/(-36))).
18
Suppose k = 5*k. Let p(i) = i + 1. Let q be p(k). What is the remainder when 53 is divided by -4*1 + 22/q?
17
Suppose 2*p - p = -2*p. Suppose -8 = -3*c - 2*q, 0 = -2*q - p*q - 4. Calculate the remainder when 9 is divided by c.
1
Suppose 0 = -5*u - 7*l + 3*l + 122, -l + 25 = u. Suppose 0*m - 6 = -2*m. Suppose m*k - 113 - 10 = 0. What is the remainder when k is divided by u?
19
Let v be (0 + 0)/(1/1). Suppose v = -5*o - 0*o + 105. Let b(p) = -9*p - 4. What is the remainder when b(-5) is divided by o?
20
Suppose -5*j + 245 = -10*j. Let v = j - -54. Calculate the remainder when 8 is divided by v.
3
Let s(b) = -10*b - 37. What is the remainder when s(-7) is divided by 9?
6
Suppose 3*j + 4*t = -8 + 3, -j + 2*t = -15. Suppose 0 = -j*z, 0 = 2*m - 2*z + 11 - 101. Let v = m - 30. What is the remainder when 58 is divided by v?
13
Suppose -5*y + 309 = -2*y. Suppose 43*j - 2090 = 189. Calculate the remainder when y is divided by j.
50
Let w = 23 + -38. Let x(n) = n + 23. What is the remainder when 77 is divided by x(w)?
5
Suppose 0 = -4*t + 7*f - 3*f + 324, 0 = -4*t - 4*f + 348. Calculate the remainder when t is divided by 30.
24
Let w = -5 + 8. Let h(q) be the first derivative of 3*q**2/2 + 2*q - 102. What is the remainder when 42 is divided by h(w)?
9
Let b(v) = -v**2 + 17*v - 13. Let i(o) = o. Let k be i(13). What is the remainder when b(k) is divided by 10?
9
Suppose -14*p - 29*p + 989 = 0. Calculate the remainder when 183 is divided by p.
22
Let i = 172 - 121. What is the remainder when 99 is divided by i?
48
Let y = -5 - -23. Let c = 26 - y. Calculate the remainder when 23 is divided by (12/(-5))/(c/(-20)).
5
Suppose 25 = 3*g + 2*g. Suppose 1030 = 97*y + 37*y + 72*y. Calculate the remainder when g is divided by y.
0
Let g = -45 - -46. What is the remainder when 99 is divided by 31 + (5/1 - g)?
29
Let j = 69 - 38. Let v = -45 + 47. Calculate the remainder when j is divided by v - (2 + -5 + -11).
15
Suppose 12*j = 18*j - 342. Calculate the remainder when j is divided by 16.
9
Let r = -90 - -410. Let s = -125 + r. Suppose -6*q = -q - s. What is the remainder when 154 is divided by q?
37
Let x(a) = -31*a - 59. What is the remainder when x(-12) is divided by 79?
76
Suppose 2*a = 45 + 61. Let y = -13 + a. Calculate the remainder when y is divided by 7.
5
Suppose 5*a = f + 416, 49*a + 411 = 54*a + 4*f. Calculate the remainder when a is divided by 21.
20
Suppose -2*b - b - 3 = 0. Let t(s) = -33*s - 1. Calculate the remainder when t(b) is divided by 17.
15
Let p(l) = -l**3 + 4*l**2 + 2*l - 7. Let h be p(7). Let v = h - -157. Suppose -z + 4 = -1. What is the remainder when v is divided by z?
2
Suppose -5*v + q = -3*v - 57, -5*q = v - 34. Let x = 0 - -15. What is the remainder when v is divided by x?
14
Let i(p) = -p**3 + 50*p**2 - 42*p + 22. What is the remainder when i(49) is divided by 122?
121
Let l = 149 + -67. Let r(b) = -b**3 - 16*b**2 - 30*b - 14. Calculate the remainder when l is divided by r(-14).
12
Let n = -2 + 3. What is the remainder when 70 is divided by (2 - -1) + 9/n?
10
Let o(b) = b - 2. Calculate the remainder when 34 is divided by o(14).
10
Let u(n) = -n**3 - 7*n**2 - 4*n - 3. Let i be u(-5). Suppose -10*l - 244 = -664. Let j = l + i. What is the remainder when j is divided by 5?
4
Let o be 21/6*16/14. Suppose -3*v - 2*x + 189 = 2*v, 4*x - 144 = -o*v. Calculate the remainder when v is divided by 10.
9
Let u(i) = 5*i - 27. Let j be u(6). Suppose -k - 49 = -2*o, 2*o - 46 = 5*k - j*k. What is the remainder when o is divided by 9?
8
Let z = 56 + -2. What is the remainder when z is divided by 11?
10
Let j(s) = 58*s + 35. What is the remainder when j(4) is divided by 10?
7
Suppose 0 = 4*s - y + 19, -2*y - 2*y + 32 = -5*s. Calculate the remainder when 20 is divided by (-1)/(-2) - s/(32/60).
4
Let q = -1905 - -2016. What is the remainder when 2772 is divided by q?
108
Let f(i) = -3*i**2 - 22*i - 12. Calculate the remainder when 15 is divided by f(-6).
3
What is the remainder when (-4)/((-5)/215*4) is divided by 14?
1
Let m = -391 + 858. What is the remainder when m is divided by 124?
95
Suppose 5*c - 192 - 283 = 0. Suppose 5*g + 0*g + 4*h - c = 0, -2*h = 0. Calculate the remainder when 75 is divided by g.
18
Let y(p) = 4. Let s(v) = v + 3. Let h(z) = 4*s(z) - 3*y(z). Let g be h(-1). Calculate the remainder when ((-37)/(-2))/(g/(-8)) is divided by 19.
18
Let f be (-1)/(2*2/164). Let j = 67 + f. Let i(d) = -49*d + 14. What is the remainder when j is divided by i(0)?
12
Suppose -4*t = 5*m - 131 - 176, 3*t + 321 = 5*m. What is the remainder when m is divided by 4?
3
Suppose -7*l + l - 3*x = -105, 71 = 4*l + x. Suppose 0 = -0*r - 2*r + 20. Calculate the remainder when l is divided by r.
8
Let q = 20 - -273. What is the remainder when q is divided by 14?
13
Let i = 8 - 5. Suppose i*c + 31 = 142. What is the remainder when c is divided by 10?
7
Suppose -2*k = 3*k - 40. Suppose 4*q = k*q - 128. Let m = 2261 + -2250. Calculate the remainder when q is divided by m.
10
Let v be 2 - 5/(5/(-8)). Let j = 16 - v. Calculate the remainder when (20/1 - -2) + 1 + -2 is divided by j.
3
Let w(h) = -2*h + 73. What is the remainder when w(17) is divided by 5?
4
Let n(x) = -x**2 + 5*x + 3. Let h be n(5). Suppose 2*s = -h + 101. Let v = s - 24. What is the remainder when 74 is divided by v?
24
Let m be (-1 + 1 + 10)/((-8)/64). Let s = -57 - m. Calculate the remainder when 67 is divided by s.
21
Let o(q) = 444 + 0*q - 441 - 2*q. Let k(y) = y**3 + 9*y**2 - y + 3. Calculate the remainder when k(-9) is divided by o(0).
0
Suppose 0 = -3*r - 3, 0 = g - 5*r - 9 - 3. What is the remainder when 40 is divided by g?
5
Suppose f + 2*f + 4*c - 285 = 0, -2*f = 3*c - 190. Suppose -s - 3*s = -2*z + 110, -s - f = -2*z. Calculate the remainder when z is divided by 10.
5
Let n be ((-2)/4)/((-5)/610). Suppose -64*b + 90 = -n*b. Calculate the remainder when b is divided by 17.
13
Let k = -47 + 53. What is the remainder when 15 is divided by k/(-63)*-3 - (-324)/42?
7
Let p(u) = 16*u**2 - u + 1. Calculate the remainder when p(-4) is divided by 67.
60
Let o(c) = -c**3 + 7*c**2 + 5*c - 15. Let b be o(6). Suppose -b - 89 = -5*i. Let h(n) = 7*n + 2. What is the remainder when i is divided by h(2)?
12
Suppose -3*o + 2*x + 15 = 0, 18 = 3*o - 3*x + 6. What is the remainder when 160/(-40) + 93/1 is divided by o?
5
Calculate the remainder when 124 is divided by 140/(-210) - (-88)/6.
12
Suppose 0 = -7*u + 5*u + 8. What is the remainder when 10 is divided by u?
2
Let z = 363 - 300. Calculate the remainder when 566 is divided by z.
62
Suppose 424 = 7*m + 81. What is the remainder when m is divided by (0 - 34)*1/(-2)?
15
Suppose -5*d = 5*f - 315, -7*f + 5*f + 135 = 5*d. Calculate the remainder when 225 is divided by f.
45
Suppose 0 = i - 7 - 8. Suppose 294 = 5*j - s, 3*j + s - 182 = 3*s. Let g = -1 + j. What is the remainder when g is divided by i?
12
Suppose 3*o = 5*n + 4465, 3*o = 2*o + n + 1485. Calculate the remainder when o is divided by 114.
112
Let k(d) = d**2 - 2*d + 3. Let w = 33 - 27. Calculate the remainder when k(w) is divided by 7.
6
What is the remainder when (-3 + 2)*1 - (-4 - 68) is divided by 37?
34
Suppose -2*d + 0*d + 20 = -3*p, -d = 2*p - 10. What is the remainder when 20 is divided by 1/((d/(-165))/((-4)/6))?
9
Let r be ((-9)/15)/((-3)/15). Suppose r*u - 73 = 104. Calculate the remainder when u is divided by 23.
13
Suppose -4*u + 58 = 3*k, 5*u = -4*k + 39 + 33. Suppose -u*x + 11*x + 100 = 0. What is the remainder when 94 is divided by x?
14
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