
5
Suppose 10 + 0 = 2*n. Suppose -3*a = -s + 4, 12 = n*s - 2*s. Suppose 2*d = -u + 6, a = 2*d - 5*d - 6. Calculate the remainder when u is divided by 3.
1
Let i(k) = -k**2 + 20*k - 5. Let n be ((-28)/(-5))/(8/20). Calculate the remainder when i(n) is divided by 16.
15
Let a = 1089 + -1070. Calculate the remainder when 147 is divided by a.
14
Suppose -2*k + 4 = t, 3*k - t + 3 = 4. Suppose 6*y - y - 10 = 0. Let v = y + k. Calculate the remainder when 11 is divided by v.
2
Let v be 1/(-1*(-2)/78). Suppose -h - v = -5*j, -3*j - h - 5 = -30. Calculate the remainder when 12 is divided by j.
4
Suppose 0 = 5*h + 15, -4*h + 22 = -2*o - 0*h. Let v = o + 82. Let t = v + -36. Calculate the remainder when t is divided by 8.
5
Let s(o) be the third derivative of -o**6/120 - 11*o**5/60 - 11*o**4/24 - o**3/2 + 5*o**2. Calculate the remainder when 13 is divided by s(-10).
6
Suppose -2*u - 4*s - 12 = 0, 2*u - 3*s = 6*u + 19. What is the remainder when 25*(2 + (-1)/1) is divided by (u + 7)/(6/28)?
11
Let i = 49 - 3. Suppose -2 = 5*h - 17, -5*a + 3*h + i = 0. Calculate the remainder when 2*(a/2 - 2) is divided by 2.
1
Suppose 35*v = 12 + 198. What is the remainder when 23 is divided by v?
5
Let t(i) = 4*i - 6 - 5*i - i**2 + 34. Let f(s) = 3*s**2 + 10*s + 6. What is the remainder when f(-7) is divided by t(0)?
27
Let u(k) = -2*k + 3. Let o be 1/((-3)/(-12)) - 0. Let a(r) = -r**3 + 2*r**2 + 7*r - 5. Let c be a(o). What is the remainder when 82 is divided by u(c)?
19
Let n = 91 + -88. Suppose -g - 2*d = 2*d - 25, -n*g + 35 = 4*d. What is the remainder when 10 is divided by g?
0
Suppose 0 = 8*j + 7 - 15. Calculate the remainder when 82 is divided by 17/((0 - j)*(-10)/10).
14
Suppose 924 = 5*g - 3*x, -4*g - 5*x + 728 = 11. Suppose 3*r = -5*o + 128, 0*r - 4*o - 238 = -5*r. What is the remainder when g is divided by r?
45
Suppose 0 = -3*d + 39*d - 1836. What is the remainder when d is divided by 11?
7
Let p = 26 + -5. Suppose 5*a - 801 - 29 = 0. Suppose -2*z = -4*z + a. What is the remainder when z is divided by p?
20
Let x(a) = -33 - 29*a - 7*a - 1 + 2. Calculate the remainder when x(-4) is divided by 23.
20
Let z(q) = 5*q**2 - 51*q + 27. Calculate the remainder when z(16) is divided by 82.
81
Let z(v) = -v**3 - v**2 + v - 14. Let j be z(0). Let l = j + 34. Calculate the remainder when 58 is divided by l.
18
Let u = 313 + -279. What is the remainder when 133 is divided by u?
31
Let a(x) = 3*x**2 - 19*x + 11. Calculate the remainder when a(-5) is divided by 8.
5
Let o(k) = -k**2 + 11*k + 2. Let x(d) = -d**2 - 6. Let b be x(-5). Let n = b + 54. Calculate the remainder when n is divided by o(10).
11
Suppose 3*o + 4*w = 219, 4*o + 7*w - 288 = 3*w. What is the remainder when 130 is divided by o?
61
Let a = 1078 + -1048. What is the remainder when 67 is divided by a?
7
Suppose 0 = 5*w + 7*w - 420. What is the remainder when w is divided by 12?
11
Let u be (-3)/(-1) + -16 + 1. Let a be 4/u - (-230)/6. Suppose 6*l = 5*l + a. What is the remainder when l is divided by 13?
12
Suppose 6 + 4 = 2*q, -5*q = 2*p - 33. Calculate the remainder when -5*1/(-1) - -8 is divided by p.
1
Suppose 9*h - 12 = 8*h. Calculate the remainder when 100 is divided by h.
4
Suppose -n - 126 = -3*s + 2*n, -5*n = -s + 58. Let w = -12 + s. Suppose -3*k - 3 = -30. What is the remainder when w is divided by k?
8
Suppose -4 = -a - 2*r + 1, 3*a - 11 = -2*r. Let h(k) = 2*k**2 + 4*k + 1. What is the remainder when h(a) is divided by 16?
15
Suppose 0 = -4*o - 4*u + 540, -o + 76 + 83 = -5*u. Calculate the remainder when o is divided by 41.
16
Calculate the remainder when 61 is divided by 1 + (-12)/(12/(-35)).
25
Suppose 16*q - 10878 = 738. Calculate the remainder when q is divided by 26.
24
Let n be (-4)/30 + 799/255. Suppose -5*h = -f - 93 - 286, -2*h + n*f = -149. Suppose 2*w = h + 12. What is the remainder when w is divided by 12?
8
Let w(f) = 90*f**2 - 1. Let u be -1*(4 + (0 + 1)*-6). Let l = u + 16. Calculate the remainder when w(-1) is divided by l.
17
Let p(q) = -2*q**3 - 5*q**2 - 3*q + 4. Let x(n) be the third derivative of -n**4/24 + 5*n**3/6 - 18*n**2. What is the remainder when p(-3) is divided by x(-7)?
10
Let v = -33 - -109. Let x(t) = 5*t**2 - 206*t + 61. Calculate the remainder when v is divided by x(41).
16
Suppose 14*i - 1065 = 41. What is the remainder when i is divided by 26?
1
Let q = 30 - -5. Calculate the remainder when 137 is divided by q.
32
Suppose -2*t - 4*u + 590 = 0, 9*t = 10*t + u - 293. Calculate the remainder when t is divided by 47.
9
Suppose 252 = -14*q + 812. Calculate the remainder when q is divided by 26.
14
Suppose 0 = -15*w + 69 - 9. Calculate the remainder when 17 is divided by w.
1
Suppose 40*o + 20 = 41*o. Suppose -o = -4*c + 20. What is the remainder when 18 is divided by c?
8
Suppose -7*h + 10*h - 9 = 0. Suppose -h*m = m - 36. Calculate the remainder when m is divided by 4.
1
Suppose u + 4 = 46. What is the remainder when 123 is divided by (21/(-21))/(-1 + u/43)?
37
Let f = -6 + 32. Suppose 21*m = f*m - 105. What is the remainder when m is divided by 1 - 2 - (-36)/3?
10
Let t(d) = -3*d**3 + 2*d + 4. Suppose 0 = 4*v - 2*v - 18. Calculate the remainder when t(-3) is divided by v.
7
Suppose -5 = -6*o + 13. Suppose -3*y - 168 = -7*v + o*v, v - 42 = 5*y. Calculate the remainder when 249 is divided by v.
39
Let w(f) = f. Let q be w(0). Suppose q*y - 2*y = -14. What is the remainder when 5 is divided by (-1 - y/(-4))*4?
2
Let t(n) = 4*n + 2. Let x be t(0). Calculate the remainder when 4/x - 0 - (20 + -93) is divided by 26.
23
Let m(l) be the first derivative of -l**4/4 - 2*l**3/3 + 7*l**2/2 + 10*l + 40. Calculate the remainder when 48 is divided by m(-4).
6
Suppose 0 = -5*v + 4*m - 0*m + 406, 0 = 4*v - 2*m - 326. What is the remainder when v is divided by 7?
5
Suppose 21*x - 435 - 342 = 0. What is the remainder when 166 is divided by x?
18
Let s(b) = -b**2 - 1. Let g be s(3). Let l be g/25 + 122/5. Let t = l + -14. What is the remainder when t is divided by 6?
4
Let h(t) = -27*t**2 + 2*t - 1. Let s be h(2). Calculate the remainder when 28 is divided by -5*7/(s/18).
4
What is the remainder when 345 is divided by 318/8 - (5 - 68/16)?
33
What is the remainder when (-128)/(-896) - (-5542)/14 is divided by 82?
68
Let f be 11/(-22) + 37/2. Suppose 5*s = p + 66 - f, -2*s = -p - 21. What is the remainder when (-1)/(4/6)*-10 is divided by s?
6
Suppose -24*g - 18 = -26*g. What is the remainder when 286 is divided by g?
7
Suppose -5*n = -578 - 1422. Calculate the remainder when n is divided by 67.
65
Let o be (-10)/(-10) - (-2)/(-1). Let c(d) = 4*d**2 + 2*d + 1. Let b be c(o). Suppose -b*t = 2*t - 45. Calculate the remainder when 25 is divided by t.
7
Let k(o) = o + 12. Let v be k(-14). Let m be 2/4 + 1241/v. What is the remainder when 53 is divided by 4/18 - m/45?
11
Let b = -35 - -44. Calculate the remainder when b is divided by 18/(-45)*(-45)/6.
0
Let v(i) = i**2 + 2. Let m = 6 + -2. Suppose -2*n - 20 = -n + 4*c, m*c + 20 = 0. What is the remainder when 6 is divided by v(n)?
0
Suppose 341*c + 367 = 346*c + v, 3*v - 225 = -3*c. Calculate the remainder when 798 is divided by c.
68
Let d = 1575 + -1472. What is the remainder when d is divided by 10?
3
Let b(y) = -2*y - 15. Let k be b(-9). Suppose 3*c - 6*c = u - 47, -24 = -2*c + k*u. Suppose 0*n - 132 = -3*n. Calculate the remainder when n is divided by c.
14
Let s = 12 - 7. Suppose -v + s*v - w = 43, 5*v - 2*w - 50 = 0. Calculate the remainder when 56 is divided by v.
8
Let i = 363 + -333. Suppose 259 = 2*h + 29. What is the remainder when h is divided by i?
25
Let u be (4 + 1)*7/((-35)/2). Calculate the remainder when (-16)/(-6)*(-30)/(-4) is divided by 3/u*14/(-3)*1.
6
Suppose v - 36 = 24. Suppose -2*n - 215 = -2*d - 457, -2*n - 4*d = -230. What is the remainder when n is divided by v?
59
Suppose 14 = y - 13. Suppose 0*o = o + 11. Let x(g) = g + 21. What is the remainder when y is divided by x(o)?
7
Suppose 2*a + 3*p = 67, -2*a + 3*p = a - 93. What is the remainder when (-843)/(-9) - (-1)/((-9)/(-12)) is divided by a?
31
Let o be -34 + -1 + 20/5. Let p = o + 82. Calculate the remainder when p is divided by 18.
15
Let x be 4 - (-1)/((-2)/4). Suppose -1 - 3 = x*s. Calculate the remainder when (s + 19 - -3)*2 is divided by 14.
12
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