 What is the remainder when n is divided by x?
1
Suppose -14*a = -0*a - 378. Calculate the remainder when 80 is divided by a.
26
Let k = -26 - -44. What is the remainder when k is divided by 10?
8
Let a(k) = -k + 12. What is the remainder when 53 is divided by a(-6)?
17
Let a = 13 - 12. What is the remainder when 4 is divided by a?
0
Let f(b) = -b**3 + 12*b**2 - 10*b - 2. Calculate the remainder when 26 is divided by f(11).
8
Let r = 34 - 25. What is the remainder when r is divided by 3?
0
Suppose u + 6*u - 1050 = 0. What is the remainder when u is divided by 38?
36
Let q = -68 - -105. What is the remainder when q is divided by 10?
7
Suppose -4*d = 5*m - 5, 4 - 9 = -d. Let z(u) = -1 + u**2 + 2*u - 4*u**2 + 4*u**2. What is the remainder when 2 is divided by z(m)?
0
Let w(k) = 1 + 0 + 5*k - 3 - k**2. Let q be w(3). Suppose -q*m - m = -25. What is the remainder when m is divided by 2?
1
Suppose -2*q - 2 = x, -2*x + q = -3*x. Suppose x*b - 44 = -2. Calculate the remainder when b is divided by 8.
5
Suppose 2*q + 26 = -j + 2*j, -4*j = q - 95. Suppose -d - 4*y + 2 = -4, -y + j = -2*d. Let i = -6 - d. Calculate the remainder when 10 is divided by i.
2
Let p = -3 + 42. Calculate the remainder when p is divided by 10.
9
Suppose -88 = -h + 4*w, 0*w = 5*h + 3*w - 371. Calculate the remainder when h is divided by 13.
11
Suppose -3*z + 12 = 2*m, -4*m - 5*z + 16 = -m. Suppose -17*l + 15*l + m = 0. What is the remainder when l is divided by 3?
0
Let a = 21 + 3. Let r(c) = 98*c - 4. Calculate the remainder when r(1) is divided by a.
22
Suppose 0*h + 196 = 2*h. Calculate the remainder when h is divided by 25.
23
Calculate the remainder when (-492)/24*((1 - 1) + -2) is divided by 11.
8
Let s = -33 - -50. Suppose b = -0*b. Suppose 0*r - 3*r = -4*i - 31, b = 3*i + 3. What is the remainder when s is divided by r?
8
Let p = 39 - -107. Suppose -4*s + 42 = p. Calculate the remainder when 20 is divided by (-12)/78 - 290/s.
9
Let g be 4/18 + 58/(-18). Let m = g + 6. Suppose -7*u + m*u = -72. What is the remainder when 52 is divided by u?
16
Calculate the remainder when (166/(-3))/(6/(-9)) is divided by 5.
3
Suppose 0*m = -5*m + 110. Calculate the remainder when 87 is divided by m.
21
Suppose -40 = 5*g - 5*p, -4 = -3*g - 3*p - p. What is the remainder when (-2)/g*(67 + 3) is divided by 18?
17
Let c = 48 + -6. Calculate the remainder when c is divided by 22.
20
Let s = -16 + 45. Let t be (-2 - (-2 + -1)) + 3. Suppose -t*w - 16 = -76. What is the remainder when s is divided by w?
14
Let p(n) = n**3 - 9*n**2 - 8*n - 1. Let r be p(11). Suppose -2*q - 145 - r = -4*u, -q = -3*u + 224. Calculate the remainder when u is divided by 26.
23
Let w be (-2 - -1) + -4 + 1. Suppose -55 = -3*l - 3*u + 8*u, 4*l - 2*u = 50. Calculate the remainder when 356/12 - w/(-6) is divided by l.
9
Suppose -5*d = -0*d - 35. What is the remainder when (2/(-11) - 36/44)*-20 is divided by d?
6
Suppose -3*s + s + 21 = u, 36 = 2*s + 4*u. Let y = 5 + -5. Suppose y = 3*a - 12 - 51. What is the remainder when a is divided by s?
5
Let j(s) = 31*s. Let w = -2 - -3. What is the remainder when j(w) is divided by 11?
9
Suppose 2*o = 3*t - 3*o - 10, 2*t + 4*o = -8. Let s = 10 + 8. Calculate the remainder when 38 is divided by s + t - 2*-1.
18
Suppose -2*c = 5*u - 42, 0*u = -4*u + 3*c + 29. Calculate the remainder when u is divided by (-3)/((-3)/5)*1.
3
Let s(x) = -2*x**3 - 5*x**2 - x + 4. Calculate the remainder when s(-3) is divided by (-3)/5 - 33/(-5).
4
Let i be (-1)/4 + 14/(-8). Suppose 5 = -3*b + 83. Calculate the remainder when b is divided by 29/2 - i/(-4).
12
Let h = 2 - -7. Let s = 18 - -17. What is the remainder when s is divided by h?
8
Let s = -4 + -3. Let l = 15 + s. Let b = 9 - -5. What is the remainder when b is divided by l?
6
Let o = -23 - -127. Calculate the remainder when o is divided by 53.
51
Let x be (1 + -3)/(-2) + 3. Suppose x*m - 5 = -m, 109 = 5*p - m. Calculate the remainder when p is divided by 8.
6
Let v = 8 + 14. Calculate the remainder when 43 is divided by v.
21
Suppose 0 + 6 = w. Let l be (2*-1)/((-3)/w). Suppose -2*g + 5*o + 29 = 0, -71 = -l*g - 3*o - 0*o. What is the remainder when 32 is divided by g?
15
Let n = 37 - 67. Calculate the remainder when 22 is divided by (-12)/15*n/3.
6
Let c(a) = 7*a**2 - 2*a + 1. Let t be c(1). Suppose y - t - 10 = 3*j, -y - 2 = 3*j. Calculate the remainder when 11 is divided by y.
4
Suppose -u - 6*a = -3*a - 11, 4*a - 14 = -u. Suppose 0 = -u*g + 29 - 1. What is the remainder when 39 is divided by g?
11
Suppose 23*i - 740 = 18*i. What is the remainder when i is divided by 30?
28
Suppose f + 6 = 17. Let k be (7 - -2)/(-3) + 21. Suppose 4*s - k = 6. Calculate the remainder when f is divided by s.
5
Let b(j) = j**3 - 23*j**2 - 22*j - 27. Let g = 18 + -9. Let r = g + 2. Calculate the remainder when b(24) is divided by r.
10
Suppose v + 4*c = -3*v + 668, -v = 5*c - 163. What is the remainder when v is divided by 34?
32
Suppose 0 = 4*h - 5 - 3. Suppose -h*s - 20 = -106. Calculate the remainder when s is divided by 15.
13
Suppose -3*m - 186 = -0*m + 3*c, 8 = -2*c. What is the remainder when 2/(-4)*1*m is divided by 8 - ((-8)/2 + 2)?
9
Let t = 2 + -15. Let f = t + 19. Calculate the remainder when ((-3)/(-9))/(2/102) is divided by f.
5
Calculate the remainder when (7/(-2))/((-2)/24) is divided by 15.
12
Let t = 13 + -10. Suppose -1 = -a + 3, 4*k - t*a + 4 = 0. Calculate the remainder when 2 is divided by k.
0
Let g = 10 - 8. Suppose -g + 10 = 2*a. Suppose l = o - 4 + 2, -4 = -4*l + o. What is the remainder when a is divided by l?
0
Suppose -3*z + 18 = -159. Suppose 6*y - 2*y - 80 = 0. Calculate the remainder when z is divided by y.
19
Suppose -j + 12 = -59. Let q(v) = -v**3 + 4*v**2 + 4*v + 2. Calculate the remainder when j is divided by q(-2).
17
Let p = 16 - -40. Calculate the remainder when 163 is divided by p.
51
Let n = -2 - -4. Suppose -3*g = 2*g. Let k(s) = s**2 - s + 5. What is the remainder when k(g) is divided by n?
1
Let p = -31 - -41. Calculate the remainder when 14 is divided by p.
4
Let q = 7 + 0. Calculate the remainder when (13/2)/(6/12) is divided by q.
6
Suppose -4*b + 9 - 24 = -3*d, 2*d + 4 = -2*b. Let y(v) = 10*v**2. Let k be y(d). Calculate the remainder when (-160)/12*(-12)/k is divided by 6.
4
Let d be 12/(-30) + (-291)/(-15). Suppose 0 = 3*u - 3*b + 8*b - 7, 3*u = -2*b + d. What is the remainder when 15 is divided by u?
6
Suppose 5 + 0 = 5*a. Suppose -3*s - 10 = -4*r - 9, -4*s + 4 = 0. What is the remainder when r is divided by a?
0
Suppose 0 = 2*r + 3*r + 5*s - 285, -2*r - 5*s + 123 = 0. Suppose 3*u + r + 6 = 0. Calculate the remainder when 37 is divided by 134/10 - (-8)/u.
11
Let u(b) = -b**3 + 13*b**2 - 12*b + 2. Let k = 5 - 4. Calculate the remainder when u(12) is divided by k.
0
Let c(w) = -w**3 - 14*w**2 + 13*w + 9. Calculate the remainder when 76 is divided by c(-15).
37
Let m(o) = 5*o - 6. Let u be m(4). Let c = -1 + u. Let s(l) = l**2 - 7*l + 7. What is the remainder when s(9) is divided by c?
12
Let i(v) = v**3 - 3*v**2 - v - 1. Suppose -30 = -40*u + 38*u. What is the remainder when i(5) is divided by u?
14
Calculate the remainder when 63 is divided by (-40)/(-6)*24/10.
15
Suppose -2*x - 19 = -x + 2*b, 29 = -x - 4*b. Let i = x - -19. What is the remainder when 28 is divided by i?
8
Let t(i) = i**3 + 9*i**2 + 6*i - 5. Let y be t(-8). Suppose -4*u + y = -5. What is the remainder when u is divided by 2?
0
Suppose -21 = -5*y - 4*h, 2*y - 5*h - 15 = -0*y. Suppose -3*r + y*r - 26 = 0. What is the remainder when 25 is divided by r?
12
Let f(v) be the first derivative of v**4/4 - 2*v**3 + 3*v**2/2 - 5. Calculate the remainder when 35 is divided by f(6).
17
Let i(r) = -2*r**2 - 25*r + 11. What is the remainder when 91 is divided by i(-12)?
22
Let y be (210/9)/(2/6). Let h be 0 + (-1 + -7)/(-2). Suppose -h*o = o - r - 88, 5*o = -5*r + y. Calculate the remainder when 50 is divided by o.
16
Let t(b) = -b. Let m be t(-4). Suppose r + m*r = -5*k - 125, -4*r - 4 = 0. Calculate the remainder when -1 + 4 + k/(-1) is divided by 14.
13
Suppose -3*m = -2*o + 40, -2*o + 6*m - m + 44 = 0. Let z = -6 - -11. What is the remainder when o is divided by z?
2
Suppose r + r - q = 602, 0 = r + 3*q - 287. What is the remainder when r is divided by 43?
