vided by 1?
0
Let r(z) = z**2 - 12*z + 13. Let m(d) = -d**3 + 4*d**2 - 2*d - 1. Let w be m(3). What is the remainder when w - (-49 + (-2 - -3)) is divided by r(12)?
11
Suppose 3*a - 232 = -a. Let n(k) = 9*k + 132. Calculate the remainder when a is divided by n(-13).
13
Let u = -25 + 70. Suppose 0 = -5*j - 2*a + 121, -3*j - 2*j - a = -118. Calculate the remainder when u is divided by j.
22
Let o be (4 - (-3)/(-1))*23. Let f = o + -16. What is the remainder when 1*-2 + (-22)/(-1) is divided by f?
6
Let k(z) be the third derivative of z**5/60 - z**4/6 + z**3/6 + 6*z**2. Calculate the remainder when 9 is divided by k(5).
3
Let a(c) = -11*c**3 + c**2 - c - 1. Let z be a(-1). What is the remainder when (3 - z/3)*-2 is divided by 1?
0
Let s(b) = 32*b + 3. What is the remainder when s(1) is divided by 18?
17
Suppose -2*z + 112 = -80. What is the remainder when z is divided by 28 - (-3 - (1 + 1))?
30
Let z = 1 - -8. Calculate the remainder when (7 - 4) + 15 + -1 is divided by z.
8
Suppose -2*g + 3*t + 14 = 5*t, 3 = g + 5*t. Suppose -2*b + 3 = -b. What is the remainder when g is divided by b?
2
Suppose -2*t - 3*y + 120 = t, 5*y = -2*t + 89. What is the remainder when 69 is divided by t?
32
Suppose 2*a + f = 30, 3*f + 75 = 5*a + 2*f. Calculate the remainder when 57 is divided by a.
12
Suppose 5*u - 145 = -i, u + 0*u - i - 23 = 0. What is the remainder when 99 is divided by u?
15
Let m(l) = -l**3 + 11*l**2 - 12*l - 12. What is the remainder when m(9) is divided by 16?
10
Let n(k) = -2*k. Let d be n(-3). Calculate the remainder when d/(-9)*(-351)/6 is divided by 21.
18
Let a(v) = 4*v - 6. Let d be -2 + -1*(-10 + -2). What is the remainder when a(d) is divided by 12?
10
What is the remainder when 54 is divided by 2 + (-33)/(-3) + (1 - 0)?
12
Suppose 0 = 5*i - 20 - 10. Suppose 0 = x - 4*v + i, x + 0 = 5*v - 10. Calculate the remainder when 9*-3*(-3 - -2) is divided by x.
7
Let i = -74 - -194. Calculate the remainder when i is divided by 31.
27
Let i(s) = s**3 + 9*s**2 - 3*s - 10. Suppose c - 3*c + 5*w + 73 = 0, -3*w - 83 = -2*c. Calculate the remainder when c is divided by i(-9).
15
Suppose 0 = 5*u - 17 - 23. Calculate the remainder when 27 is divided by u.
3
What is the remainder when 67/2 + 3/2 is divided by 19?
16
Let v = -36 - -52. Suppose 0*w + 31 = w. Calculate the remainder when w is divided by v.
15
Suppose g = 6 - 2. Suppose g*m - 10 = 22. Calculate the remainder when 38 is divided by m.
6
Suppose 2*k + 17 = 3*i, 0 = 5*k + 8 - 3. Suppose -5*y + 0*y = -i. Calculate the remainder when 8/6*(-9)/(-6) is divided by y.
0
Let p(q) = -q + 2. Let r be p(6). Let l(u) = -6*u - 4. Let m be l(r). Suppose -3*o + o = -m. Calculate the remainder when 18 is divided by o.
8
What is the remainder when 22 is divided by 6/(-2) + 2 - -13?
10
Let m(l) = l**3 + 6*l**2 + 3*l + 3. Suppose 0 = -2*w - 3 - 5. What is the remainder when m(w) is divided by 13?
10
Let z = -8 - -77. What is the remainder when z is divided by 7?
6
Let r(y) = y**3 - 2*y**2 - y - 4. Let u(c) = 5*c**2 - c. Let v be u(1). Calculate the remainder when 47 is divided by r(v).
23
Let a(c) = c**2 + 2*c - 2. Let o be a(-4). Suppose 5*m - 65 = d, -2*m - 33 = -o*m - 3*d. Calculate the remainder when 9 is divided by 2 - 3 - m/(-2).
4
Let v(y) = y - 9. Let h be v(12). Suppose h*b + 0 = 51. Suppose -3*m - 2*m = -30. Calculate the remainder when b is divided by m.
5
Let v = 14 + -6. Let o be 5 - (-3 - (-1 - 1)). Suppose -y + 13 = 3*x, o = -0*y - 3*y. Calculate the remainder when v is divided by x.
3
Let s = 12 + -10. Let t(v) = 5*v**3 - v**2 - 5*v + 5. Calculate the remainder when t(s) is divided by 16.
15
Suppose 3*o + 8*j = 13*j + 113, -5*o - 5*j + 135 = 0. Let z be 0*(-1 + 0)*-1. Calculate the remainder when o is divided by (z - -9) + (-1 - 0).
7
Suppose -16 = 5*d - 4*r + 15, 19 = -2*d - 5*r. Let z(t) = t**3 + 6*t**2 - 8*t + 5. What is the remainder when 21 is divided by z(d)?
9
Suppose -17 = -2*w + c, 2*c - 3 = -4*w + 11. What is the remainder when ((-12)/10)/(w/(-20)) is divided by 3?
1
Let a(q) = 25*q - 1. Calculate the remainder when a(2) is divided by 1/((4/68)/1).
15
Suppose -2*q + 16 = 2*v, -3*v = 11 + 1. What is the remainder when 46 is divided by q?
10
Suppose 0 = -3*c + 3*y + 9, 4*y + 7 = -4*c - 5. Suppose c*g = 4*g - 136. Calculate the remainder when g is divided by 9.
7
What is the remainder when 41 is divided by ((-13)/(-2))/((-5)/(-10))?
2
Let i(f) = 2*f**2 - 2*f + 4. Suppose -3*c = 3*r - 6*r - 21, 5*r = 3*c - 27. Let s = 60 + -50. What is the remainder when i(r) is divided by s?
8
Suppose -a + 20 = 5*f, -f - 4 = -2*f - a. Let x = f + 0. Calculate the remainder when 10 is divided by x.
2
Suppose 1 = 2*m - 9. Calculate the remainder when 17 is divided by m.
2
Suppose -10 = -5*f - 5*o, f - 3*o - 14 = -o. Suppose 0 = 3*a - 15 - f. Let b = -16 - -28. Calculate the remainder when b is divided by a.
5
Let a be (3 - -30)*(-1)/(-3). Let l = 24 - a. Calculate the remainder when 49 is divided by l.
10
Let d = 56 + -27. Suppose -d = -2*z - 1. Calculate the remainder when 26 is divided by z.
12
Let a be (12/8)/(1/4). Let z = a + -4. Suppose 2*u - 42 = -2*n, z*n - 5*u - 48 = -2*n. What is the remainder when 32 is divided by n?
15
Suppose 0 = k + 2 + 3. Let p = k + 8. Suppose p*c - 6 = 21. What is the remainder when c is divided by 5?
4
Suppose f = -0*f + 12. Calculate the remainder when 47 is divided by f.
11
Calculate the remainder when 27*(8/(-12))/(-2) is divided by 3.
0
Let w(r) = 3*r**3 + 1. What is the remainder when w(2) is divided by (-26)/(-3) + 8/24?
7
Calculate the remainder when 20 is divided by ((-3)/21*12)/((-2)/7).
2
Let s(z) = 2*z - 5. Let t be s(4). Let v(u) = u + 8 - 8. Calculate the remainder when 7 is divided by v(t).
1
Let k = 134 - 94. Suppose -73 = -5*x - s - 14, 0 = -4*x + s + k. Calculate the remainder when x is divided by 4.
3
Let i(r) = r**3 - 10*r**2 + r + 3. Calculate the remainder when 44 - ((-2 - -5) + -8) is divided by i(10).
10
Suppose -2*p + 21 = -13. Suppose -h + 15 = -1. Suppose 3*q = h + 2. What is the remainder when p is divided by q?
5
Suppose -3*w - 4 = 4*v, 9 = -5*w + 5*v + 49. Let s = -66 - -76. Calculate the remainder when s is divided by w.
2
Let d be -10 - (0 - -3)*-1. Let l = d + 22. Let b(j) = j**3 + j**2 + 3*j - 2. What is the remainder when b(3) is divided by l?
13
Suppose 0 = -5*s + 4*s + 74. Calculate the remainder when s is divided by 25.
24
Suppose 0 = -o + 5*p + 30, 5*o + p - 7 = 39. Calculate the remainder when ((-28)/(-3))/((-3)/(-9)) is divided by o.
8
Let x = 16 + -7. Let t = x - 1. What is the remainder when t is divided by 3?
2
Suppose 3*n - 5*n - s + 21 = 0, -4*s + 44 = 3*n. What is the remainder when 3/(-9)*(-3 - 0) + 21 is divided by n?
6
Suppose 0 = -s - 4*s + 95. What is the remainder when 37 is divided by s?
18
Let z = -25 - -47. Suppose -2*j + 7*j = 435. What is the remainder when j is divided by z?
21
Let f(n) = -2*n - 12. Let u be f(-10). Let s = u + 6. What is the remainder when 40 is divided by s?
12
Let f(v) = -6*v - 57. Calculate the remainder when f(-18) is divided by 9.
6
Suppose -7 = -5*c + 3. What is the remainder when 15 is divided by c?
1
Suppose -3*g + 0*g + 6 = 0. Let o be 2 - (-1 + g) - -5. Calculate the remainder when (-2 - -5)/o*26 is divided by 7.
6
Let c = 7 - -11. Calculate the remainder when 53 is divided by c.
17
Suppose 7*h - 50 = -15. What is the remainder when 19 is divided by h?
4
Let w(m) = 3*m - 4*m - 1 - 1. Let x(k) = -k**3 - 5*k**2 - 2*k + 3. Let u be x(-3). Calculate the remainder when w(u) is divided by 4.
3
Let n(a) = -a + 9. Let u be n(0). Suppose 4*f = 3*f + u. Suppose -c + 3 + 1 = 0, 5*z + 5*c - 95 = 0. What is the remainder when z is divided by f?
6
Suppose -2 + 12 = 2*l. What is the remainder when 77 is divided by 102/l + 12/(-30)?
17
Let a(r) = r**2 + 2*r + 2. Let m be a(0). Let w = 7 - m. Calculate the remainder when 9 is divided by w.
4
Let a(k) = -k**3 + 2*k**2 - 2*k + 3. Let x be a(2). Let j = 1 + x. Suppose -21 = -b - j*b. What is the remainder when b is divided by 12?
9
Let g(x) = x**2 - 5*x. Suppose 0 = -f - 5 + 12. Calculate the remainder when 363/9 - (-4)/6 is divided by g(f).
13
Suppose d - 87 = -2*d. Let k(j) = 7*j**3 - 2*j**2 + 5*j - 1. What is the remainder when k(2) is divided by d?
28
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