by j.
11
Suppose -d - y - 21 = y, 17 = -d - y. Let p = d - -25. Calculate the remainder when p is divided by 7.
5
Suppose -2*n - 3*n + 31 = i, 0 = 5*i - 2*n - 74. Let x = -18 + 27. What is the remainder when i is divided by x?
7
Let c = -263 + 99. Calculate the remainder when 30 is divided by c/(-10) + 8/(-20).
14
Calculate the remainder when 27 is divided by 54/10*(-10)/(-3).
9
Suppose 0*l = -20*l + 300. Let x(f) = -8*f**3 + f**2. Calculate the remainder when l is divided by x(-1).
6
Let o = 21 - -27. Suppose o = 4*w - w. Let x = -74 - -83. Calculate the remainder when w is divided by x.
7
Let g(j) = -j**3 + 4*j**2 + 4*j + 1. Let i be g(5). Calculate the remainder when ((-56)/(-1))/4 - i is divided by 25*(3/(-5) - -1).
8
Suppose -o = -3*m - 112, 4*o - o - 348 = 3*m. What is the remainder when o is divided by 24?
22
Suppose -3*x + 18 = -6*x. Let k(n) = -n. Let f be k(x). Suppose -3*g + f = -g. What is the remainder when 5 is divided by g?
2
Suppose -z = -17 + 13. Calculate the remainder when 6 is divided by z.
2
Suppose 2*q = -0*q - 2, 0 = -2*s + 2*q + 28. What is the remainder when 49 is divided by s?
10
Suppose -3*o = -8*u + 5*u - 6, 2*u = -2. Suppose 4*h - 9 + o = 0. Suppose 0 = -h*i + 3*i - 22. Calculate the remainder when i is divided by 8.
6
Suppose k + 5*o = 51, 5*o - 74 = -2*k + 3. Calculate the remainder when k is divided by 20.
6
Let p = -11 - -15. Let r = 1 + p. Suppose -r*a + a = -80. What is the remainder when 58 is divided by a?
18
Let p = -5 + 9. Let b be 6*(-2)/p + 3. Suppose b = 3*c - 70 - 20. Calculate the remainder when c is divided by 8.
6
Suppose -5*r - 2*d = -37, -5 = 4*d - 9*d. What is the remainder when r is divided by 4?
3
Let r be (-4)/10 + (-497)/(-5). Suppose -o = 4*k - 2*o + r, 3*o + 53 = -2*k. Let g = k - -48. Calculate the remainder when g is divided by 8.
7
Let i = -10 + 23. Let c(b) = b + 2. What is the remainder when i is divided by c(6)?
5
Suppose 7*u = 8*u - 158. Calculate the remainder when u is divided by 32.
30
Let l be 30/(-8) - 10/40. Let y = -2 - l. Suppose 0 = -f - 4*w + 94, y*f - 4*f + 170 = 2*w. Calculate the remainder when f is divided by 21.
19
Let r(l) = -2*l + 1. Let f be r(-1). Let t(o) = -f + 6 + 2*o + 2*o**2 + o. Calculate the remainder when t(-5) is divided by 13.
12
Suppose -3*k = -2*w - 3, 0 = -w - k + 5 + 1. What is the remainder when 21 is divided by w?
0
Suppose -231 = -2*s - 2*s - 5*b, -5*s = -3*b - 335. What is the remainder when s is divided by 33?
31
Suppose -4*w + 0*w = 32. Let o = w - -41. Let b = 47 - o. Calculate the remainder when 26 is divided by b.
12
Let i = -93 + 139. What is the remainder when i is divided by 8?
6
Let q = -89 + 148. What is the remainder when q is divided by 16?
11
What is the remainder when (12/7)/(2/21) is divided by 7?
4
Let w(z) = z**3 - 6*z**2 + z + 1. Let q(j) = 2 + 6*j - j**2 - 3*j**2 + 3*j**2. Calculate the remainder when q(3) is divided by w(6).
4
Suppose 0 = 2*w - 26 - 32. What is the remainder when w is divided by 16?
13
Let g(f) = 21*f - 17. Let t(z) = -14*z + 12. Let c(y) = 5*g(y) + 7*t(y). Let v = -3 - -5. Calculate the remainder when 25 is divided by c(v).
12
Let g = -1 + -3. Let y = -1 - g. Calculate the remainder when 7 is divided by (3*y/(-3))/(-1).
1
What is the remainder when 95 is divided by 11/((-22)/(-8))*5?
15
Let k(c) = -c + 1. Calculate the remainder when k(-2) is divided by 3.
0
Suppose 31 = 4*p - 73. Suppose p = -3*h - 5*w, -15 = 5*h - 3*h + w. Let f = 11 + h. Calculate the remainder when f is divided by 3.
1
Let y(r) = 17*r + 1. Let n = 2 + -4. Let u be (4 - 8)*1/n. What is the remainder when y(u) is divided by 19?
16
Let r = 520 - 343. Suppose -5*m = -4*q + 263, r = 3*q - 2*m + 5*m. What is the remainder when q is divided by (-2 - 1)*(3 - 10)?
20
Suppose 4*o - 1 = 3*o + 2*v, -29 = -4*o + 3*v. Let p = -71 + 123. What is the remainder when p is divided by o?
8
Let k(g) = -g**3 + 22*g**2 - 17*g + 15. Calculate the remainder when k(20) is divided by 53.
51
Suppose -5*m - 19 = 6, l - 22 = m. Suppose 0 = -2*j + l - 1. What is the remainder when 29 is divided by j?
5
Let j(y) = y + 6. Let b be j(-5). Suppose 5*x - 109 - b = -5*p, 3*x = p - 14. Suppose -5*i + 20 + 35 = 0. What is the remainder when p is divided by i?
9
Let t = -21 - -23. Suppose -2*a + 5 = h, t*h - 8 = -a + 2. Calculate the remainder when 9 is divided by h.
4
Suppose n = 4*f - 9 + 43, 4*f = -2*n + 92. Suppose -5*u + 104 = -2*h, u - 81 = -2*u - 5*h. What is the remainder when n is divided by u?
20
Let c = 33 - 6. Suppose 4*i + p = c, 4*i + 2*p + 6 = 28. Calculate the remainder when ((-5)/(-4))/(2/24) is divided by i.
7
Let q(f) = f**2 + 15. Suppose -4 = -l - 2. Let o(j) = 4*j**3 + 2*j**2 + 3*j - 3. Calculate the remainder when o(l) is divided by q(0).
13
Let m be 56/(-12)*-6*-2. Let d = m + 82. What is the remainder when 51 is divided by d?
25
Let d(o) = -o**2 + 7*o + 61. What is the remainder when 81 is divided by d(9)?
38
Suppose 0 = 3*j - 180 + 57. Calculate the remainder when 121 is divided by j.
39
Suppose 0 = -44*r + 61*r - 357. Let x(z) = z - 3. Let c be x(-3). Calculate the remainder when r is divided by (-20)/(-3) - (-4)/c.
3
What is the remainder when (-164)/(-6) + 3/(-9) is divided by 14?
13
What is the remainder when (188 - -2)/((-12)/(-3) + -2) is divided by 12?
11
Suppose -5*d + 3*l = -10, 2*d - 17 = -4*l + 13. Suppose 0 = d*x + 3*s - 117, x + 3*s - 25 = 8. Let f = 39 - 28. Calculate the remainder when x is divided by f.
10
Let y(h) = h**2 + 11*h + 9. Let r be y(-7). Let b = 65 + r. What is the remainder when b is divided by 12?
10
Suppose -b + 5 = -8. Calculate the remainder when 51 is divided by b.
12
Suppose s = 2*w + 161, -s - 3*s - 4*w + 608 = 0. Suppose -s = -z - 4*z. Calculate the remainder when z is divided by 12.
7
Let u(f) = f**2 - 9*f. Calculate the remainder when u(11) is divided by 8.
6
Suppose -76 = -4*c + 4*b, 0 = 2*c + 3*b + 32 - 90. What is the remainder when 45 is divided by c?
22
Suppose 28 = 4*c - 3*b - 0*b, -b - 20 = -4*c. Suppose -x = c*x - 125. Calculate the remainder when x is divided by 13.
12
Suppose 9*t = 4*t + 95. What is the remainder when t is divided by 11?
8
Suppose 0 = 4*q + 3*d - 56, -62 = -4*q - d - 6. Calculate the remainder when 67 is divided by q.
11
Suppose 5*a - 4*u + 86 = -3*u, u = -4. Let s = a - -34. Suppose -s = 3*q - 49. Calculate the remainder when 42 is divided by q.
9
Suppose 144 = 5*s + 3*s. Calculate the remainder when 106 is divided by s.
16
Let h(y) = -10*y + 2. Let t be 2/3*12/2. Let m = 15 - t. Calculate the remainder when h(-4) is divided by m.
9
Suppose 3*p = -u + 11, -5*u + 75 = 5*p - 0*p. Calculate the remainder when u is divided by (-4)/(-14) + (-122)/(-14).
8
Suppose 36 = -3*h + 5*h. Let n(u) = -u**2 + 16*u - 18. Calculate the remainder when h is divided by n(14).
8
Suppose 5*h - 4*c = 107, -3*h + 5*c = -0*h - 72. Let m = -21 + 32. Calculate the remainder when h is divided by m.
8
Let n(l) = -l - 9. Suppose -24 - 8 = 4*y. Let d be n(y). Calculate the remainder when 8 - (d - (2 + -4)) is divided by 3.
1
Suppose -2*z + z + 37 = 2*x, -4*x - z + 69 = 0. What is the remainder when 92 is divided by x?
12
Suppose -184 = -5*o - 4. Suppose 4*y - o = 12. Calculate the remainder when 204/(-9)*(-6)/4 is divided by y.
10
Let b(p) = p**3 + 10*p**2 - 3*p - 10. Let a be b(-10). Let d = 0 + a. Calculate the remainder when d is divided by 11.
9
Suppose 13 + 107 = 5*d. Calculate the remainder when 46 is divided by d.
22
Let x be 954/7 - (-6)/(-21). Let f = x - 94. What is the remainder when f is divided by 11?
9
Calculate the remainder when 42 is divided by (-2)/(-4)*22/1.
9
Let v(t) = -t**3 + 15*t**2 + 12. What is the remainder when 33 is divided by v(15)?
9
Suppose 3*j + 12 = j. Let l(w) = -w - 3. Let m(g) = 2*g. What is the remainder when m(2) is divided by l(j)?
1
Let z = 3 + -1. Suppose p = -z*p + 48. Calculate the remainder when (p/6)/(6/9) is divided by 3.
1
Let l = 168 + -99. Let x = l - 36. What is the remainder when x is divided by (-2)/8 - (-69)/4?
16
Let h(l) be the first derivative of -l**4/4 - 4*l**3/3 - l**2/2 + l + 2. What is the remainder when h(-4) is divided by 3?
2
Let y be (-9)/6*(-6)/1. Let m(b) = -4*b**3 + 1. Let j be m(1). Calculate the remainder when 13 is divided by (j/y - 0)*-21.
6
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