s the remainder when s is divided by 16?
13
Suppose 1496 = 10*f + 34*f. Suppose 0 = 4*o - 2*h + 13 + 43, 5*h = -5*o - 70. Let w = o - -24. What is the remainder when f is divided by w?
4
Let q(y) = y**3 - 2*y**2 - y + 1. Let b = -75 - -48. Let s = 47 + b. What is the remainder when s is divided by q(3)?
6
Suppose h + 42 = 34. Let g be (2/4)/(1/84). What is the remainder when (g/h)/((-9)/96) is divided by 19?
18
Let y = -1207 - -1278. Suppose 18 = 2*m + 3*b, 38 = 4*m + 5*b - 0*b. Calculate the remainder when y is divided by m.
11
Let t(y) = -8*y**2 - 8*y - 2. Let u be t(-3). Suppose -3*r + 72 = -0*r. Calculate the remainder when u*(r/20)/(-3) is divided by 7.
6
Let w = 376 - 160. Calculate the remainder when w is divided by 55.
51
Let h = -88 + 93. Suppose 3*m = 5*x - 2*m - 200, -h*m - 158 = -4*x. Calculate the remainder when x is divided by 15.
12
Let j = 38 - 25. Let q(n) = -2*n**2 - 3*n - 16. Let s be q(-6). Let z = 75 + s. Calculate the remainder when j is divided by z.
3
Let f = 22 + -32. Let b be f/(-4) - (-7)/14. Suppose -5*p + c - 3*c + 7 = 0, 3 = b*c. Calculate the remainder when 3 is divided by p.
0
Let u be (-4)/1*(-3 + 2). Suppose 24 = 3*q - 0*q + 3*y, q + u*y = 11. Calculate the remainder when q is divided by (4/6)/((-412)/(-618)).
0
Let f = -11 + 26. Let l = 67 - 13. Calculate the remainder when f is divided by 8/28 - l/(-7).
7
Let h(y) = -4*y**3 - 4*y**2 - 5*y - 11. Calculate the remainder when 379 is divided by h(-3).
75
Let y(i) = 4*i**2 - 1. Let j be y(2). Suppose -4*p = -9*p - 10. Calculate the remainder when (p + 36/j)*55 is divided by 5.
2
Suppose -24 = 2*y - 32. Calculate the remainder when 87 is divided by y.
3
Let a(z) = 9*z**3 - 3*z**2 + 4*z - 2. Suppose 6*x - 5*x = 12. Suppose 16*d - 68 = x*d. Calculate the remainder when a(2) is divided by d.
15
Let z be 2 - (-2 - -2)/(-2). Let x be z/8 - (-33)/12. What is the remainder when 6 is divided by (-24)/(-3) - 3 - x?
0
Let w(x) = -5*x - 2. Suppose 9 = -4*f + 41. Suppose -2*o - f = -2. What is the remainder when 38 is divided by w(o)?
12
Let c = -24 + 39. What is the remainder when 2/18 + (-9768)/(-297) + 3 is divided by c?
6
Suppose 5*k - 186 + 61 = 0. What is the remainder when 58 is divided by k?
8
Suppose 11 + 7 = 2*t. Let k = 7 - t. Let m = k + 14. What is the remainder when 21 is divided by m?
9
Let v = -209 - -234. Suppose b = -4*b + 45. Calculate the remainder when v is divided by b.
7
Suppose 2*p - 4 - 34 = 0. What is the remainder when 32 is divided by p?
13
Let c(n) = -2*n + 8. Suppose 6*x - 86 - 52 = 0. Let f = x + -29. Calculate the remainder when 39 is divided by c(f).
19
Let y(d) = -55*d - 381. Calculate the remainder when 82 is divided by y(-8).
23
Let w(b) = 3*b**2 + 9*b - 3. Calculate the remainder when 97 is divided by w(-5).
16
Suppose 4*t = -3*h, 0*h = 4*t + 2*h + 4. What is the remainder when 23 - (5/((-15)/9) - t) is divided by 6?
5
Let d(t) = -6*t + 3. Let y(v) = 2*v**3 - 26*v**2 - 2*v + 120. Calculate the remainder when y(13) is divided by d(-5).
28
Let u = 111 + -2. Let i = -66 + u. Let r = -431 + 454. What is the remainder when i is divided by r?
20
Let s be (-145 - -4)/((-3)/(-6)*-2). Suppose s*k - 175 = 136*k. Calculate the remainder when 173 is divided by k.
33
Suppose -2*o = 27*o - 1421. Calculate the remainder when o is divided by 4.
1
Calculate the remainder when 0 - (-3 - (-3 - -149)) is divided by ((-12)/30)/(3/(-285)).
35
Let j = -34 + 37. Let l = 12 + j. What is the remainder when 43 is divided by l?
13
Let y(h) = 3*h**2 - 46*h + 19. Let x be y(15). Suppose 3*p - 38 = -o, o - 27 = -6*p + x*p. Calculate the remainder when 76 is divided by p.
10
Let f = -397 + 456. Calculate the remainder when f is divided by 10.
9
Let t(z) = -19*z + 1. Let k be t(-1). Suppose 20 = 5*s - h - 0, -k = -5*s + 3*h. Suppose -3*a - 8 = -20. What is the remainder when a is divided by s?
0
Suppose 2*x = -5*h + 23, x = 6*x - 3*h - 11. What is the remainder when 13 is divided by x?
1
Suppose 0 = w - 3*o - 35, 5*w - 5*o - 123 = 52. Suppose 0 = -3*u - w + 98. What is the remainder when u is divided by 12?
9
What is the remainder when 115 is divided by 5152/256 + (-3)/24?
15
Let b(u) = 2*u**2 - 6*u - 27. What is the remainder when 54 is divided by b(7)?
25
Let y = 7 + 14. Suppose 0 = -2*b + 3*b + 90. Let v = b - -151. What is the remainder when v is divided by y?
19
Calculate the remainder when 180 is divided by 2*40 - (28 + -39).
89
Let o = 8 - -12. Calculate the remainder when 116 is divided by o.
16
Suppose 5*r - 10 = 0, p + 2*r = -3*r + 19. Let n be 1 + 1 + (-3 - -6). Suppose -5*g = n*s - 35, -s - 9 + 1 = -4*g. What is the remainder when p is divided by s?
1
Let a(z) = -10*z - 227. Calculate the remainder when 63 is divided by a(-24).
11
Suppose -2*r = -r + 9. Let z = r + 15. Suppose -4*y = -z*k + 2*k + 96, -4*k - 2*y = -66. Calculate the remainder when k is divided by 10.
9
Let c(s) = s**3 - 7*s**2 + 9*s - 10. Let d be c(5). Let k = 30 + d. Calculate the remainder when (-57)/(-2)*(-1 - -3) is divided by k.
12
Let h = -3 - -3. Suppose 0 = u - 4 - h. Suppose -2*y + 57 = z - 29, -4*y + 172 = u*z. What is the remainder when y is divided by 22?
21
Let l(y) = y**3 + 10*y**2 - 3*y - 5. Let j(s) = -s**2 - 22*s - 15. Calculate the remainder when j(-14) is divided by l(-10).
22
Suppose 7*d = -35, -3*d - 79 = -4*b - 4*d. What is the remainder when 83 is divided by b?
20
Suppose -40 = 3*y - 91. What is the remainder when 237 is divided by y?
16
Let a be 268/28 + 4/(-7). Calculate the remainder when 6/(-27) - (-1 + (-560)/a) is divided by 32.
31
Suppose 4*w + s - 1164 = 165, 3*w + 4*s = 1000. What is the remainder when w is divided by 28?
24
Suppose -4*q + 0*q = -3*a + 410, -10 = 5*a. Let g = q - -132. What is the remainder when g is divided by 15?
13
Suppose 747 = 21*t - 18*t. What is the remainder when t is divided by 85?
79
Suppose 2*j - 2*t = 3*j, 2*t - 20 = -3*j. What is the remainder when 238 is divided by j?
8
Let m(h) = -h**2 - 10*h - 19. Let w be m(-6). Suppose -n = 3*v - 7, w*n - 2*v - 11 = 24. Calculate the remainder when 40 is divided by n.
5
Suppose -i + 53*p + 17 = 50*p, 9 = i + p. Calculate the remainder when 19 is divided by i.
8
Let s = 72 + -70. Suppose -4*v + 58 = i - 55, 0 = -3*v - i + 85. Calculate the remainder when (s/(-2))/((-1)/53) is divided by v.
25
Suppose 11*s - 12*s = -123. Suppose -19 = 8*i - s. What is the remainder when 50 is divided by i?
11
Suppose 8 = -4*p, 0 = -5*w - 2*p + 247 - 21. What is the remainder when 159 is divided by w?
21
Suppose g = -3, -3*p + 18 = -6*p - 2*g. Calculate the remainder when 167 is divided by (-6)/p*14/(-6)*-8.
27
Let m(g) = 2*g**2 - 14*g + 17. Let o be 9/2 - 18/(-12) - -2. What is the remainder when 126 is divided by m(o)?
27
Calculate the remainder when 31 is divided by (24/48)/(1/10).
1
Suppose 59*z - 62*z + 18 = 0. What is the remainder when 200 is divided by z?
2
Let r be (-189)/(-2) + (1/(-2) - -1). Suppose -20 = 4*u, 0 = -2*b + 4*u - 0*u + 70. What is the remainder when 0/4 + r + 4/2 is divided by b?
22
Calculate the remainder when 297 is divided by ((-270)/(-63))/((6/(-28))/(-3)).
57
Suppose 4*h + 8 = 6*h + 3*d, -8 = 2*h - d. Let b be 1/h + (-29)/(-2). Suppose -b*t + 13*t = -28. What is the remainder when t is divided by 8?
4
Suppose s = -s + 64. Suppose 9*q - 30*q + 1316 = -7*q. Calculate the remainder when q is divided by s.
30
Let y(z) = z**3 - 4*z**2 - 24*z - 17. Suppose 9 = -4*s + 57. Calculate the remainder when y(8) is divided by s.
11
Suppose 5*o - 2 = -2*s, 2*s + 0*s - 2 = -2*o. Let p be -70*s/(20/(-24)). Suppose 3*r + p = 5*r. Calculate the remainder when r is divided by 15.
12
Let j(t) = t - 17. Let w(o) = 7*o. Let c be w(1). Let z be j(c). Let m = z - -16. Calculate the remainder when 14 is divided by m.
2
Let j(m) = m - 3. Let n be j(-7). Let b = n + 12. Suppose 0 = -2*z + 4*u + 32, -z - b*u + 88 = 2*z. What is the remainder when 77 is divided by z?
25
Let v(m) = 51 + 12*m**2 + 4*m**3 - 13*m - 3*m**3 + 0*m - 36. Suppose -3*f - 47 = 3*b - f, -25 = b + 3*f. What is the remainder when 28 is divided by v(b)?
13
Let d(u) = 2*u**2 + 8*u. What is the remainder when d(-10) is divided by 25?
20
Suppose -5*l + 2*j + 99 + 65 = 0, -5*l + 166 = -3*j. Calculate the remainder when l is divided by 24.
8
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