 remainder when r is divided by 3?
1
Suppose b - 6 = -b. Suppose b*t + 18 - 54 = 0. Calculate the remainder when 21 is divided by t.
9
Suppose -3*s + 6*s - 18 = 0. Suppose -6 = -5*t + 2*t. Suppose 60 + 9 = 4*w + p, -t*p - 22 = -2*w. Calculate the remainder when w is divided by s.
4
Let u(c) = c - 5. Let f be u(8). Suppose 13 = f*i - 14. What is the remainder when 115/i + 4/18 is divided by 5?
3
Let b = 19 + 27. Suppose 5*s - 271 = -b. Suppose 6*z = -u + z + s, 2*u = 3*z + 25. Calculate the remainder when 59 is divided by u.
19
Suppose -1530 = 5*x - 5*j, -3*j - 1 + 4 = 0. Suppose -f - 5 - 30 = 0. Calculate the remainder when x/f - 4/(-14) is divided by 5.
4
Suppose 5*j - 5 = 15. Let g(l) = l. Let o be g(4). Suppose 0 = -u - 3*p + 6 + 3, 8 = o*p. Calculate the remainder when j is divided by u.
1
Suppose 0 = 4*l + z - 37, -5*z - 1 = -6*z. Let k = -2 + 3. Suppose -k = 4*i - 101. Calculate the remainder when i is divided by l.
7
Let p = 10 + -6. Suppose 34 = 3*k - 2*x, -k + 4*x + 10 = -8. Calculate the remainder when k is divided by p.
2
Let f be (-2)/(-2 - -6)*-28. Calculate the remainder when (1 - f)*(-9)/3 is divided by 14.
11
Let u(a) = a**3 + 7*a**2 - 10*a - 6. Let l be ((-12)/(-8))/((-6)/32). What is the remainder when u(l) is divided by 6?
4
Suppose -5*r - 2*f = -135, -3*r - f = -4*r + 20. Let y(j) = 3*j - 2. What is the remainder when 4/1*r/5 is divided by y(3)?
6
Suppose x - 1 = 0, 3*x + 53 = 4*b + 8. Let y be (-14)/(-12) - 2/b. Suppose -4*o + y = -7. Calculate the remainder when o is divided by 1.
0
Suppose 0 = -0*f - f + 2. Let l be (f + 4)*(-5)/(-3). Let r = -1 + l. What is the remainder when 16 is divided by r?
7
Let l(h) = h**3 - 4*h**2 - 4*h - 7. Let v be 2 - -4 - (-1)/(-1). Let f be l(v). Calculate the remainder when 24 is divided by (1 + f - 1) + 15.
11
Suppose 0 = 4*z + q - 4, 2*z - q + 2*q = 0. Suppose -3*l + 70 = z*l. Let i = 16 - 8. What is the remainder when l is divided by i?
6
Suppose -3 = n - 5. What is the remainder when 9 is divided by n?
1
Calculate the remainder when (300/(-24))/(2/(-12)) is divided by 38.
37
Let j = -163 + -45. What is the remainder when 7 is divided by j/(-56) - (-2)/7?
3
Let i(m) = 2*m**2 + m. Let v be i(1). Suppose o = 0, -3*p + v*o - o + 15 = 0. What is the remainder when p is divided by 3?
2
Let u = -28 + 58. Calculate the remainder when u is divided by 7.
2
Suppose -3*d + 66 = 5*p - 271, -2*d - 138 = -2*p. Suppose p = 2*q - 18. What is the remainder when q is divided by 15?
13
Suppose -2*v = 3*v - 25. Suppose d - v*d = 308. What is the remainder when d/(-4) + 2/(-8) is divided by 7?
5
Let s = 7 + 20. What is the remainder when s is divided by 15?
12
Let f(o) = 18*o - 2. What is the remainder when f(2) is divided by 6?
4
Suppose 11 = 3*y - 2*r - 90, -170 = -5*y + 5*r. Let j = 17 - 8. Calculate the remainder when y is divided by j.
6
Suppose 2*c = 5*f + 48, 0 = -c - 0*f + f + 27. Suppose -3*v = -3*r + 189, -v - 257 = -4*r - 2*v. What is the remainder when c is divided by 4/(-6) - r/(-6)?
9
Suppose i - 4*t = 65, 3*t + 260 = 4*i + 2*t. Let y = -120 + 154. What is the remainder when i is divided by y?
31
Let x(i) = -3*i + 1. Let o = -26 + 46. Suppose 3*z = z + o. Calculate the remainder when z is divided by x(-1).
2
Let d = 3 - -1. What is the remainder when 7 is divided by d?
3
Suppose i = c + 4, -8 = -2*i + 2*c + 3*c. Suppose 9 + 95 = 4*t + i*u, 0 = -5*t - 2*u + 115. Calculate the remainder when 61 is divided by t.
19
Suppose 0 = -7*l + 12*l - 110. Let q be -1*1*(3 - -20). Let z = -11 - q. Calculate the remainder when l is divided by z.
10
Let r(p) = 2*p**2 + 7. Calculate the remainder when r(-5) is divided by 15.
12
Let g(v) = 9*v**2 + v + 1. Let b(c) be the second derivative of c**4/12 + c**3/6 + 3*c**2 + c. Calculate the remainder when b(-5) is divided by g(-1).
8
Suppose 60 = -3*v + 7*v. What is the remainder when v is divided by 6?
3
Let t(j) = j + 21. What is the remainder when t(-11) is divided by 6?
4
Suppose 4*p + 0 - 4 = 4*d, 3*p + 4*d = 10. Suppose -3*k - p*k = -20. Calculate the remainder when 13 is divided by k.
1
Let y = -1 + 2. Let j(h) be the second derivative of 5*h**4/12 + h**3/3 - h**2/2 - 6*h. What is the remainder when j(y) is divided by 4?
2
Suppose -o - 3*o + 15 = -i, 21 = 5*o + i. Suppose f + 61 = 4*f + q, 84 = o*f + 2*q. Suppose -15 = -2*v + 5. Calculate the remainder when f is divided by v.
9
Suppose 0*s = -s - 2*p + 17, -p = 2*s - 25. Calculate the remainder when 42 is divided by s.
9
What is the remainder when 39 is divided by (136/24 + -3)*30/4?
19
Suppose 167 + 4 = -3*g. Let o = -41 - g. Suppose 39 = 3*n + 12. Calculate the remainder when o is divided by n.
7
Suppose -38 + 164 = 6*l. Calculate the remainder when l is divided by 8.
5
Let d = -3 - -10. Suppose -3*z - 27 = -4*i, 4*i - z - d = 3*i. Suppose -7 - 37 = -4*a. Calculate the remainder when a is divided by i.
5
Let k be (-2)/(-3) - (-114)/18. Suppose -3 = x - k. What is the remainder when 7 is divided by x?
3
Let h = -85 + 156. What is the remainder when h is divided by 15?
11
Let t(u) = u**3 + 6*u**2 + 4*u - 4. Calculate the remainder when t(-5) is divided by ((-2)/(-4))/(5/10).
0
Let v(n) = -3*n + 2. What is the remainder when 89 is divided by v(-7)?
20
What is the remainder when 2 + (2 - -44 - 4) is divided by 12?
8
Let i(m) = m**3 + 5*m**2 + 2*m - 3. Suppose 6*c - 5*t = c + 60, 2*c = 5*t + 33. What is the remainder when (-4)/(-6) - (-219)/c is divided by i(-3)?
7
What is the remainder when 124 is divided by (42/(-3))/(-2)*6?
40
Let x = 10 + -5. Suppose -2*m - 41 = -3*i, -2*i + 15 = -3*m - 14. Calculate the remainder when i is divided by x.
3
Suppose w + 4*w - 215 = 0. Calculate the remainder when w is divided by (-176)/(-12) + (-1)/(-3).
13
Let x = -37 - -84. Calculate the remainder when x is divided by 12.
11
Let o(n) = 2*n - 13. Calculate the remainder when 89 is divided by o(18).
20
Let g be 245/20 + 1/(-4). Calculate the remainder when 34 is divided by (27/g)/(-1)*-4.
7
Let i be 14 + 4 - (2 + 1). Let r = -9 + i. Calculate the remainder when r is divided by 4.
2
Let g = 171 - 76. What is the remainder when g is divided by 32?
31
Suppose -2*k + 50 = -4*f, -2*k + k = -5*f - 40. Calculate the remainder when k is divided by 4.
3
Suppose -78 + 222 = 24*q. Calculate the remainder when 9 is divided by q.
3
Suppose 44 = 4*k + 4*y, -3*y + 33 = 3*k - 2*y. Suppose -2*o - 3*o = -215. What is the remainder when o is divided by k?
10
Suppose 5*h - 117 - 273 = 0. Suppose 5*s - 52 = h. What is the remainder when s is divided by 14?
12
Let b = -3 - -7. Let q be 9/(-27) + (-74)/(-6). Suppose -4*y + q = 0, -2*t = 4*y + 2 - 18. Calculate the remainder when b is divided by t.
0
Suppose 4*x + 0*w - 8 = 2*w, -3*x + 6 = 2*w. Calculate the remainder when 5 is divided by x.
1
Suppose -z - 4*z = -120. Calculate the remainder when z is divided by 9.
6
Let v = -7 - -9. Suppose 0 = 2*r + 4*d - 14, 2*r + v*r = 3*d + 17. What is the remainder when 7 is divided by r/(-2)*8/(-5)?
3
Let c(h) = -h**2 - 5*h - 2. What is the remainder when 1 - 0 - (0 - 9) is divided by c(-3)?
2
Let d(m) = -2*m + 7. Let k be d(-6). Suppose -t + c = -k, 5 = -3*c + 17. Calculate the remainder when 45 is divided by t.
22
Let u = 133 - 62. Calculate the remainder when u is divided by 18.
17
Let q(n) = -n**3 - 3*n**2 - 2*n + 3. Let u be q(-3). Suppose u = -5*c + 99. Calculate the remainder when c is divided by 5.
3
Suppose -2*v = -4*b + 12, -v - 8 + 4 = -b. Suppose b = -2*j, -126 = -5*x - j + 113. What is the remainder when x is divided by 17?
14
Let p(g) = g**3 - 7*g**2 + 5*g + 8. Let l be (12/7)/((-8)/(-28)). What is the remainder when p(l) is divided by 2?
0
What is the remainder when 83 is divided by 2780/100 - (2/5)/(-2)?
27
Let v = 25 + -17. Calculate the remainder when v is divided by 5.
3
Let p(o) = -o**3 - 8*o**2 - 12*o - 24. Calculate the remainder when p(-9) is divided by 42.
39
Let i(y) = 2*y**2 + 4*y - 1. What is the remainder when (0 - (-6)/3) + 55 is divided by i(-4)?
12
Let b = -22 - -34. Suppose 0 = 2*w - 8, -5*u + 2*w = 5*w - 37. What is the remainder when b is divided by u?
2
Suppose 0 - 8 = -4*l. Suppose 5*i + l*n - 36 = 3*i, 0 = 3*n. Suppose 4*f + 156 = 4*a, -4*f = 3*a - 5*f - 109. Calculate the remainder when a is divided by i.
17
Let o = 3