ainder when x is divided by r?
2
Suppose 56*y = 50*y + 690. Calculate the remainder when y is divided by 30.
25
Let u = 18 + 10. What is the remainder when u is divided by (-18)/3*65/(-26)?
13
Suppose 2*x - 5*h = 50, 5*x + 2*h - 52 - 73 = 0. Let d = x - 11. What is the remainder when 53 is divided by d?
11
Let l = 12 - -20. What is the remainder when l is divided by 10?
2
Let k be -8*(-2)/(-4)*8. Let r = 54 + k. Calculate the remainder when 151 is divided by r.
19
Suppose -2*g - 57 = -3*g + p, -2*p = -4*g + 228. Let z be -5 + 83 - 3*-1. Suppose 5*j + 21 - z = 0. Calculate the remainder when g is divided by j.
9
Let i(h) = h**2 - 5*h - 7. Suppose a + 15 = -2*a. Let z(b) = b**3 + 5*b**2 - b + 4. Let p be z(a). Calculate the remainder when i(p) is divided by 15.
14
Let d(r) = r**2 + 5*r + 2. Let b be d(-5). Suppose -o - 5 = 4*o, b*o = -3*c + 289. Calculate the remainder when c is divided by 25.
22
Let k(j) = -7*j - 34. What is the remainder when 62 is divided by k(-6)?
6
Let i = 39 + -26. Suppose p - 5*q = 5*p - 72, 0 = -3*q. What is the remainder when p is divided by i?
5
Let d = 156 - 127. Calculate the remainder when 221 is divided by d.
18
Let g(n) = -n**2 + 10*n + 47. Calculate the remainder when 107 is divided by g(11).
35
Suppose -4*w = -6*j + 3*j - 57, -2*j = -w + 18. Calculate the remainder when 45 is divided by w.
9
What is the remainder when (-10)/3*(1 + (-59)/2) is divided by 33?
29
Suppose -5*u + 382 = -2*f, 5*u - 7*f - 384 = -3*f. Suppose 3*v = -p + u, 2*v - 40 - 22 = 5*p. Calculate the remainder when v is divided by 7.
5
Let x be (18/(-12))/(3/(-4)). Let v(g) = -5*g**3 + 6 + 3*g**3 - 2*g + 0*g**3 - x*g**2 + 3*g**3. Calculate the remainder when v(4) is divided by 11.
8
Let r(u) = -u**2 + 6*u - 3. Let f be r(10). Let z = 47 + f. Calculate the remainder when 25 is divided by z.
1
Let q(i) = -i**3 - 9*i**2 + 22*i + 3. Let j be q(-11). Calculate the remainder when 125 is divided by (-2*j)/((-4)/14).
20
Let a(n) = 22*n**2 - 17*n - 67. What is the remainder when a(-4) is divided by 45?
38
Suppose -2*o + 81 = -4*r - 49, -3*r - 5*o = 78. Let x = 6 - r. Calculate the remainder when x is divided by 14.
9
Let s(a) be the first derivative of -a**2/2 + 7*a + 1. Suppose -5*y + 2*t + 38 = 0, 4*t + 4 - 24 = -2*y. Calculate the remainder when s(-8) is divided by y.
7
Let j(a) = -4*a**3 + 47*a**2 + 3*a + 11. Calculate the remainder when j(11) is divided by 68.
67
Suppose -3*l + 0*l - 21 = -3*i, -l - 25 = -4*i. Let v be i/4*12/(-18). Calculate the remainder when 51 is divided by (2/(-5) - v)*45.
24
Suppose -15 + 57 = 6*h. Suppose -4*x - 51 = -h*x. Suppose 6*r + 20 = 3*c + r, 5*c + 2*r = 23. What is the remainder when x is divided by c?
2
Let z(i) = -i**2 + 45*i - 21. Calculate the remainder when z(33) is divided by 45.
15
Let r(p) = 28*p - 174. Calculate the remainder when 27 is divided by r(7).
5
Let q(a) = 175*a + 15. What is the remainder when 103 is divided by q(0)?
13
Suppose 4*u + 0*u - 45 = x, 4*u - 3*x - 39 = 0. Suppose -64*s = -46*s - 522. Calculate the remainder when s is divided by u.
5
Suppose -2*f + 45 = -99. Let r = 0 + -19. Let o = 6 - r. Calculate the remainder when f is divided by o.
22
Suppose 7*f = 4*f + 2*g + 8, 3*f - 5*g = 2. Suppose -3*b - 68 = -4*i, 4*b = -i - f*i + 54. What is the remainder when i is divided by 5?
4
Let x = 74 + -35. Let l = 4276 + -4261. Calculate the remainder when x is divided by l.
9
Let y(x) = 2*x**3 + 15*x**2 + 9*x + 9. What is the remainder when 194 is divided by y(-6)?
5
Let c = 185 + -180. What is the remainder when 68 is divided by c?
3
Let u be -1 - 1 - (-10 + -25). Let p = u + -4. Calculate the remainder when p is divided by 5.
4
Let t = 40 + -16. Let u(z) = -25*z + 6. Let c be u(4). Calculate the remainder when -1 + (0 + 0 - c) is divided by t.
21
Suppose 36 = 2*f + f. Suppose -4*t + i + 130 = 4*i, -4*i + 60 = 2*t. What is the remainder when t is divided by f?
10
Let t(a) = -37*a - 1. Suppose 7*l - 2*l = 4*h - 94, -4*l = -8. What is the remainder when t(-2) is divided by h?
21
Suppose 0 = 15*b - 3737 - 4288. Calculate the remainder when 108 is divided by 3/5 - b/(-25).
20
Let z(o) = -9*o - 33*o**2 + 3 - 34*o**2 + 65*o**2. Calculate the remainder when z(-4) is divided by 4.
3
Suppose 0 = -j - 25*j - 20*j + 230. Let t(k) = k**3 + 4*k**2 + 3*k + 1. Let f be t(-3). Calculate the remainder when j is divided by f/(-4) + 26/8.
2
Let k(x) = -19*x - 132. What is the remainder when k(-9) is divided by 5?
4
Suppose -7*z + 0*z + 1120 = 0. Let i = 224 - z. What is the remainder when i is divided by 13?
12
Let m = -30 - -14. Let t = m + 73. Suppose 0 = 5*o + 15, 0*z = -z + o + 23. What is the remainder when t is divided by z?
17
Suppose 3*z + 961 = 10*n - 5*n, 5*z + 567 = 3*n. Calculate the remainder when n is divided by 46.
10
Let b = -28 + 58. Suppose -4*x + 14 = -6*x. Calculate the remainder when b is divided by 11*1 + x + 4.
6
Let b(y) = -y**3 + 33*y**2 + 4*y - 85. What is the remainder when b(32) is divided by 107?
104
What is the remainder when 376/28 - (6/7)/2 is divided by 9?
4
Suppose -2*h + 28 = 4*r - 5*r, 28 = 4*h + 5*r. What is the remainder when 190 is divided by h?
10
Suppose k + 6 = 3*y - 0*k, -2*y - 2*k + 4 = 0. What is the remainder when 0 + 13 + (0 - (5 + 2)) is divided by y?
0
Let a = 0 - -5. Suppose 0*r + r + 26 = a*d, 2*r - 26 = -3*d. Calculate the remainder when 19 is divided by 7*2 - (-3 + d).
8
Suppose -218 = -4*j - 2*q, j - 4*q - q = 38. Calculate the remainder when 233 is divided by j.
21
Let h be (-2050)/22 + (-24)/(-132). Let u = 195 + h. What is the remainder when u is divided by 28?
18
Let s(t) = t - 7. Let v(d) be the third derivative of d**4/24 - 7*d**3/6 + 2*d**2. Let l(z) = 2*s(z) - 3*v(z). What is the remainder when l(0) is divided by 4?
3
Suppose -2714 = 5*c + o, -2*o - 3*o + 1064 = -2*c. Let i = 817 + c. Suppose 7*x + i = 12*x. Calculate the remainder when x is divided by 28.
27
Let s = -11 - -80. What is the remainder when s is divided by (7/(-3))/((-2)/(-12)*-1)?
13
Suppose 0 = 4*x + 2*s - 7*s - 5, -5 = x + 5*s. Suppose 4*h - 10 - 35 = w, h + 3*w - 8 = x. Let b = -9 - -15. Calculate the remainder when h is divided by b.
5
Suppose 0 = 4*g + 3*l, l + 1 + 9 = 2*g. What is the remainder when 69 is divided by g?
0
Let m(w) = w**3 - 2*w - 3. Let c be m(0). Suppose 19 = 2*l - 17. What is the remainder when l is divided by c + (-1)/(3 + (-44)/14)?
2
Let j = 118 - 95. What is the remainder when j is divided by 5?
3
Suppose 0 = -2*x - 4 - 0. Let s be (-5)/10 + 473/x. What is the remainder when s/(-2)*(-8)/(-12) is divided by 20?
19
Suppose 118 + 146 = -8*k. Let x = k + 52. What is the remainder when 34 is divided by x?
15
Let r(b) = -2*b + 6. Suppose 6 = k - 8. What is the remainder when r(-15) is divided by k?
8
Suppose -c + 54 = -2*l, -c + 40 = -4*l - 18. Let v(r) = 2*r**3 + 12*r**2 + 7*r + 12. Calculate the remainder when c is divided by v(-5).
23
Let g = -5 - -7. Suppose -g*i - 3 = 3*u, -u - 2 = 5*i - 1. Suppose -5*m + 7 + 8 = i. Calculate the remainder when 6 is divided by m.
0
Suppose -3*q - 5*s + 0*s = -17, 0 = 2*q - 4*s + 18. Suppose 0 = -4*l + y + 147, -3*y - y = 2*l - 96. What is the remainder when l is divided by 3*9/3 - q?
8
Let m(y) = y**2 - 2*y - 5. Let x be m(-5). Let u = -15 + x. Suppose 4*n + u = 39. What is the remainder when 10 is divided by n?
4
Suppose 1027 - 3007 = -12*r. Let z = -113 + r. What is the remainder when z is divided by 9?
7
Let k be 4 - 4/16*4. Let l(b) = -b**3 + 17*b**2 + 25*b - 45. What is the remainder when l(18) is divided by (-28 + 0)/(k - 4)?
25
Calculate the remainder when 161 is divided by 416/5 + (-99)/45.
80
Suppose -13*x = -413 - 250. Suppose 0 = 4*m + 3*l - 102, 12 + 46 = 2*m - 2*l. Calculate the remainder when x is divided by m.
24
Let o be (-3)/6 - 31293/(-6). What is the remainder when (-2)/((-1113)/o - (-3)/15) is divided by 51?
47
Suppose 2*o - 18 = 3*q + 5*o, 0 = 3*q - 2*o - 7. Calculate the remainder when 12 is divided by 29/4 + q/4.
5
Let x = 460 - -227. What is the remainder when x is divided by 86?
85
Let h = -83 + 77. Let n(t) = 4*t**2 + 5*t + 9. What is the remainder when n(h) is divided by (-1)/4 + 404/16?
23
Let r(p) = -p**2 + 7*p - 12. Let s be r(5). What is the remainder when 93 is divided by -2 - s - (-40 + 8)?
29
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