 3*t - 7, 4*t - 20 = 2*x. What is the remainder when t is divided by 3?
0
Suppose 122 + 170 = 4*m. Suppose 0 = 5*n - m - 17. Let d = 84 + -49. Calculate the remainder when d is divided by n.
17
Let d(y) = 4*y**2 - 2*y - 1. Suppose -3*s - 4 = s. Let q be d(s). Suppose 44 = -z + q*z. What is the remainder when z is divided by 7?
4
Suppose 2*l + 13 = 5*m - 13, -4*m + 1 = 5*l. Let t = 3 + l. Suppose t = -2*r + 4*r - 18. What is the remainder when 25 is divided by r?
7
Suppose -3*m + 4 = 1. Suppose 3*t - 129 = -9. Calculate the remainder when t is divided by (m/2)/(2/56).
12
Let b(d) = d**3 + 18*d**2 - 26*d + 44. What is the remainder when b(-19) is divided by 20?
17
Let h(c) = -c**3 + 8*c**2 + 6*c - 24. Suppose -4*m = -3*m - 17. Calculate the remainder when h(6) is divided by m.
16
Let p = 132 - 105. What is the remainder when 215 is divided by p?
26
Let v = -4 - -4. Suppose -4*j + 2*j = v. Suppose j*x = 4*x - 32. Calculate the remainder when x is divided by 3.
2
Let d(m) = 11*m**3 + 1. Let o be d(-1). Calculate the remainder when 4 is divided by 4/o + 85/25.
1
Suppose -9*u = -4*u - 130. What is the remainder when 49 is divided by u?
23
Calculate the remainder when -4*(-1 - 117/12) is divided by (-10 + -1)*1/(-1).
10
Suppose 3*i - 2 = -8. What is the remainder when 30 is divided by (13 - 0) + 0 + i?
8
Let q(a) = 8*a**2 + 3*a + 3. What is the remainder when q(-2) is divided by 11?
7
Suppose g + 3*w = 79, 2*g - 6*w - 118 = -2*w. Calculate the remainder when g is divided by 36.
31
Suppose -5*q - 1 + 21 = 0. Let c = 69 - -76. Suppose -m + c = q*m. Calculate the remainder when m is divided by 15.
14
Let t be (0 - 18/(-7))*7. Let b = t + 6. Suppose -2*i = -2*g + b, -6 = 4*i - 22. What is the remainder when g is divided by 6?
4
Let a = 14 + -8. What is the remainder when 17 is divided by a?
5
Let i(h) = h**3 - 2*h**2 + 2*h + 3. What is the remainder when i(5) is divided by 10?
8
Let t = -22 - -37. What is the remainder when 26 is divided by t?
11
Let m = 32 - 21. Suppose 3 = 2*l - 3. Suppose -5*x + 118 = l*h - 0*x, -3*h = 2*x - 103. What is the remainder when h is divided by m?
9
Suppose 3*t = 7*t. Calculate the remainder when 15 is divided by t - 2/(-1) - -2.
3
Suppose 4*a - 83 = -7. What is the remainder when 32 is divided by a?
13
Let t = -62 + 104. Let f = t - 29. What is the remainder when 23 is divided by f?
10
Let j = 32 + -13. What is the remainder when 74 is divided by j?
17
Suppose m = 15*c - 16*c + 39, -4*m - 4 = 0. Calculate the remainder when 159 is divided by c.
39
Let z(m) = -3*m**2 + 2*m - 2. Let x be z(4). What is the remainder when 25 is divided by (2/(-4))/(3/x)?
4
Let r(g) = -74*g**3 - 2*g - 1. Let b = 45 + -26. Calculate the remainder when r(-1) is divided by b.
18
Let p(o) = o**2 + 7*o + 6. Let c(t) = -3*t**2 - 3*t**3 + 2*t**2 + 1 - 4*t**3 - t**3. Let n be c(1). What is the remainder when 26 is divided by p(n)?
12
Suppose -4*p = 5*t - 86, -p + 3*p + 2*t = 44. Suppose 5*z - 197 = 153. What is the remainder when z is divided by p?
22
Let t = 23 + -20. Suppose 0*q - t*q = -258. What is the remainder when q is divided by 22?
20
Let p = -16 - -44. Suppose -3*n - 4 = -p. Calculate the remainder when 15 is divided by n.
7
Suppose 0 = 2*n - n - 12. Suppose 5*s - 2*s + 6 = 5*y, 3*s + 4*y = 21. Calculate the remainder when 33 is divided by (s/(-4))/((-1)/n).
6
Let x = 0 - 10. Let i = 36 + x. What is the remainder when i is divided by (1 - 2)*(-14 + 0)?
12
Let w = -38 + 27. Let i = 17 + w. Let v(t) = t**2 - 3*t - 8. What is the remainder when 28 is divided by v(i)?
8
Suppose 2*f + 4*c = 12, f + 5*c = -0 - 9. What is the remainder when 30 is divided by f?
14
Suppose 0 = -0*l - 2*l. Suppose 0 = y - 3*h + 3 - 4, l = -4*y - h - 35. Let d = 3 - y. What is the remainder when 21 is divided by d?
10
Let t = 20 + -13. Suppose -9 = -4*l + t. Suppose 0 = -2*o + l*o - 20. What is the remainder when 19 is divided by o?
9
Suppose 0 = -2*r - 0*r + 6, -2*q - 12 = -4*r. Suppose -2*d = -5*c - 12, q = -4*d - d - 5*c + 65. What is the remainder when d is divided by 4?
3
Suppose 3*f = -p + 25 + 70, -17 = -f - 4*p. Let y be 3/6 + (-20)/(-8). Suppose -27 = -0*q - y*q. What is the remainder when f is divided by q?
6
Let y = 38 - 35. Calculate the remainder when 7 is divided by y.
1
Suppose -5*y = 1 - 11. Suppose -y*f + 4 = -0*f. Calculate the remainder when f is divided by 2.
0
Suppose 0 = 2*h - 92 + 20. Suppose 4*r = r + 177. Let p = r - h. What is the remainder when p is divided by 8?
7
Let a = -7 + 1. Let q be 4/a*84/(-8). Let f = q + -3. Calculate the remainder when 10 is divided by f.
2
What is the remainder when 27 + 6 + (4 - 6) is divided by -10*(-2 + 12/10)?
7
Let z(v) = 30*v**2 - 1. Let x be z(-1). Suppose 114 = 5*j + x. What is the remainder when 50 is divided by j?
16
Let n(c) = 0*c**3 - c**2 + c**3 + 32 + c - 2*c**3. Let b be n(0). Let p = b + -18. What is the remainder when 40 is divided by p?
12
Let s(n) = 2*n + 2*n - 2*n + 0 - 7. What is the remainder when 11 is divided by s(7)?
4
Suppose 2*b + 4*o - 5*o - 5 = 0, -15 = -3*o. Let g = b - -11. Suppose 0*k - 4*k + 24 = 0. What is the remainder when g is divided by k?
4
Let w(u) = -u**3 + 11*u**2 + 3. What is the remainder when 4 is divided by w(11)?
1
Let k = 179 + -114. What is the remainder when k is divided by 33?
32
Suppose 0 = -t - 2*w + 4*w + 51, -t + 5*w + 36 = 0. Let c be 10 + (-5 - -2) + 0. Suppose -56 - c = -3*p. Calculate the remainder when t is divided by p.
19
Suppose 28 = 2*r - 26. Suppose -3*c = 42 + r. Let q = -2 - c. Calculate the remainder when q is divided by 11.
10
Let h = 9 - 3. What is the remainder when 14 is divided by h?
2
Let k be 2/3 + (-30)/(-9). Suppose 3*f - 38 = 2*d, 3*d + 46 = k*f - 2*d. Calculate the remainder when f is divided by (-5)/(-3 - (0 + -2)).
4
Let y(d) = -7*d - 11. Let x be ((-18)/(-8))/(21/(-56)). Calculate the remainder when 92 is divided by y(x).
30
Suppose b = 0, -2*f - 23 = -4*b - 7. Let s(i) = -i**3 - 6*i**2 + 12*i + 7. Calculate the remainder when s(f) is divided by 20.
19
Suppose w + 146 = -w + 4*r, -292 = 4*w + 4*r. Let g = w - -106. Let a(k) = -k**2 + 13*k - 13. What is the remainder when g is divided by a(10)?
16
Let t be (-36)/16 - (-1 - 9/(-12)). Let l(w) be the second derivative of -w**4/12 - w**3/2 + w**2 - w. Calculate the remainder when 11 is divided by l(t).
3
Suppose -4*f = -0*j + 2*j - 84, 2*j + f = 99. Suppose -2*q = 2*q - j. Let o(x) = 39*x - 1. What is the remainder when o(1) is divided by q?
12
Let w be (-2)/(-3) + 46/3. Let f = w - 25. What is the remainder when -3*(15/f - -1) is divided by 2?
0
Suppose -w - 5*k + 29 = 0, -k + 16 = -4*w + 48. Calculate the remainder when 35 is divided by w.
8
Suppose y - 1 = -2*o, 9 = 3*y + o - 9. Suppose 5*v - c - 68 = 0, 0*c - 3*c = -4*v + 61. What is the remainder when v is divided by y?
6
Calculate the remainder when 85 is divided by (-3)/((-16)/(-24)*(-1)/10).
40
Let g = -121 - -170. Calculate the remainder when g is divided by 17.
15
Let p(v) = -v**3 + 7*v**2 - 4*v + 2. Calculate the remainder when p(3) is divided by 9.
8
Suppose 0 = 18*h - 15*h - 57. Calculate the remainder when 113 is divided by h.
18
Suppose -z + 76 - 12 = 0. Calculate the remainder when 127 is divided by z.
63
Let q = 11 - 10. Calculate the remainder when 33 is divided by 3 - (-4*q + -2).
6
Let m(r) = -r**2 + 5*r + 10. Let z be m(6). Suppose -2 = -o, -12 = 2*x - z*x - 4*o. What is the remainder when 6 is divided by x?
0
Suppose -4*s + 44 = 2*q, 4*s - 15 + 41 = 3*q. Let a = -26 + 35. What is the remainder when q is divided by a?
5
Let p(d) = 2*d**2 + 3*d + 2. Calculate the remainder when p(-7) is divided by 9.
7
Suppose 2*w = 2*t + w - 61, -4*t + 102 = 2*w. Suppose 2*o + 15 = 3*o. Calculate the remainder when t is divided by o.
13
Let n = 6 - -9. Suppose -r - d = -30, 2*r - 4*d + n = 3*r. Let a = 22 + -4. What is the remainder when r is divided by a?
17
Let c(i) = i**3 + 8*i**2 - i - 5. Calculate the remainder when 7 is divided by c(-8).
1
Let a = 26 + 15. Let n(i) = 3*i + 5. Suppose 2*t - 4*l + 10 = 0, t - 2 = -3*l + 13. Calculate the remainder when a is divided by n(t).
13
Let h = -4 + -35. Suppose y - t - 30 = -2*t, -y = -5*t - 60. What is the remainder when y is divided by 6/h + (-238)/(-26)?
8
Let j(s) = -s**3 - s + 12