*q - 53*q. Suppose 0 = -3*j + q*j - 10. What is the remainder when 8 is divided by j?
3
Let j(c) = -23*c + 10. Let u be j(6). Let k = u + 201. What is the remainder when k is divided by 25?
23
Let u be (-26)/6 + 11/33. Let g be u - 16/(-1 - 3). Suppose g = -r + h + 8, r - 6 = 2*h - 2. What is the remainder when r is divided by 7?
5
Suppose x = 6*x - 155. Let t(g) = g**2 + g - 26. Let w = 57 + -51. What is the remainder when x is divided by t(w)?
15
Let c be (-8)/36 - 434/(-9). Let w = c + -25. Calculate the remainder when 112 is divided by w.
20
Suppose 17 - 2 = -5*p. Let d = p + 15. Let b(n) = -n**3 + 10*n**2 + 8*n - 170. Calculate the remainder when b(7) is divided by d.
9
Let s(g) = 3*g**2 + g + 2. What is the remainder when 57 is divided by s(-2)?
9
Let h = 768 - 752. Calculate the remainder when 332 is divided by h.
12
Suppose 0 = -q - 5 - 0. Let o be 57*3/36*4. Let p = o + q. Calculate the remainder when 27 is divided by p.
13
Let k = 62 - 12. What is the remainder when 2/4*k*1 is divided by 13?
12
Let n = 336 + -328. Calculate the remainder when 77 is divided by n.
5
Suppose 0 = -2*h - 2*d + 60 + 80, -d = 4*h - 289. Suppose -5*a + 138 = 2*l, 8*a + 8*l = 6*l + 216. Calculate the remainder when h is divided by a.
21
Suppose -4*x + 24 = -10*x. Calculate the remainder when x/18 - (-1 + (-128)/9) is divided by 8.
7
Suppose 1464 = x + 11*x. Let f = x - 105. What is the remainder when 23 is divided by f?
6
Let u = 33 + -114. Let w = u - -184. Suppose 3*i - 5*q - w - 70 = 0, -4*i + 244 = -4*q. What is the remainder when i is divided by 17?
15
Suppose -3*k = z + k + 29, -2*z - 46 = -4*k. What is the remainder when 65 is divided by (z/(-20))/(2/56)?
30
Let l = 2088 - 1775. Calculate the remainder when l is divided by 66.
49
Suppose 5*q + 29 = 379. Suppose -6*u = -11*u + q. What is the remainder when 53 is divided by u?
11
Let d(t) = t**3 + 8*t**2 + 11*t - 3. Let k be d(-6). Calculate the remainder when (22 + 2)/(2/k) is divided by 7.
1
Suppose -3*c = -72*t + 71*t - 445, -3*c + 3*t = -441. What is the remainder when c is divided by 6?
5
Suppose 138 = n + 3*j, -n + 4*j + 139 = 6*j. Calculate the remainder when n is divided by 83.
58
Suppose 5*w + 3*t - 59 = 4934, -2*t + 993 = w. What is the remainder when w is divided by 84?
77
Let p(s) = s + 1. Let k be p(-7). Let b = k + 2. Calculate the remainder when 172/6 + b/6 is divided by 10.
8
Suppose 1132 = 31*k + 264. What is the remainder when 130 is divided by k?
18
Calculate the remainder when (1 - 4) + (-36)/(-6) + 59 is divided by (-6)/3*(-3 + -5).
14
Let i be (6*4/(-16))/((-3)/68). Let o(a) = -5*a**3 - a**2 + a + 1. Let g be o(-1). Suppose 0 = -g*v - 10 + i. Calculate the remainder when 10 is divided by v.
4
Let a(u) = -14*u**3 - 2*u**2 - 2*u + 4. Let v be a(2). Let y = -105 - v. What is the remainder when y is divided by 6?
3
Suppose j = 7*k - 3*k - 27, -3*k = -5*j - 16. Suppose 6*y - y = 15. What is the remainder when k is divided by y?
1
Let j = 14 - -35. Let w be (4*5)/((-1)/(9/(-6))). Suppose w*f = 35*f - 50. What is the remainder when j is divided by f?
9
Let b = -1653 - -1734. What is the remainder when b is divided by 14/(5/(30/4))?
18
Let p be 14/4*-5*16/(-28). Suppose -4*q - p = -5*q. Calculate the remainder when 27 is divided by q.
7
Let j(w) = -w**2 - 10*w - 18. Let q be (14/6)/(4/(-24)). Let c be j(q). Let h = c - -129. What is the remainder when h is divided by 19?
17
Suppose 3*k = -4*w - 0*k - 743, -3*w - 4*k = 552. Let o = w + 304. What is the remainder when o is divided by 17?
14
Suppose -7*w - 2542 = -48*w. Calculate the remainder when w is divided by 8.
6
Suppose 3*k + k = 784. Let t be (-1)/(-3 + 586/k). Suppose 0 = -4*n + 2*n + t. What is the remainder when n is divided by 13?
10
Let x(k) = 5*k + 43. Let d be x(-7). Calculate the remainder when 52 is divided by ((-4)/4 - d)*4/(-2).
16
Let a(w) = 4*w**2 - 8*w - 2. Let c(j) = 118*j - 307. Calculate the remainder when a(7) is divided by c(3).
44
Let r(x) = 23 + 65*x**2 - 33*x - 63*x**2 + 11. Calculate the remainder when r(21) is divided by 28.
27
Let t = -184 + 249. Calculate the remainder when t is divided by 27.
11
Let r(z) = -2*z - 18 + 4*z - 4*z. Let w be r(-13). Calculate the remainder when 835/20 - (-2)/w is divided by 11.
9
Let o(y) = -y**2 - 7*y - 7. Let c be o(-5). Let i(z) = -3*z**2 - 3*z**c + 4*z**3 - 3*z**3 + z - 2 + z**3. What is the remainder when 17 is divided by i(-4)?
7
Let r(z) = -5*z**3 - 2*z**2 - 2*z - 1. Let s be r(-1). Suppose 2*u + c - 9 = 0, -25 = -s*u + c + 4*c. Calculate the remainder when u is divided by (2/3)/(9/27).
1
Suppose -17*t = -20*t + 96. Calculate the remainder when 220 is divided by t.
28
Suppose -2*t + 11 = 3, 0 = -4*v + 2*t + 44. Calculate the remainder when 44 is divided by v.
5
Suppose -1 = 8*u - 33. What is the remainder when u is divided by (-5)/(-15) - 10/(-6)?
0
Let r(j) = -374*j - 2617. Let i = -5 - -15. Calculate the remainder when i is divided by r(-7).
0
Let k(r) = r**2 + 3*r - 44. Calculate the remainder when 170 is divided by k(-10).
14
Let c = -117 + 283. What is the remainder when c is divided by 15?
1
Suppose 0 + 20 = 4*p. Let t be 75 + -2 + (3 - 2). What is the remainder when ((-481)/t)/(2/(-1*4)) is divided by p?
3
Suppose -2154*i + 2157*i = 153. Calculate the remainder when 115 is divided by i.
13
Let p(c) = c**3 - 3*c**2 - 5*c + 4. Let r = 8 - 5. Let g be p(r). Let w = -5 - g. What is the remainder when 21 is divided by w?
3
Suppose -8*m + 40 = -6*m. What is the remainder when 97 is divided by m?
17
Suppose 5*b + 4*x - 15 - 73 = 0, 58 = 3*b + 5*x. Let g = 32 - b. Suppose 7*u = -3*u + 290. Calculate the remainder when u is divided by g.
13
Suppose -2*y = 48 - 54. What is the remainder when (-5)/5*(-2 + -15 - -2) is divided by y?
0
Let m(p) = 18*p - 1. Let h(i) = 130*i**2 - 515*i + 5. Calculate the remainder when m(5) is divided by h(4).
14
What is the remainder when 287 is divided by -1 + (140/(-28))/((-2)/4)?
8
Suppose 12 = 2*x + 2. Suppose x*f - 5 = 5. Suppose -f*b + 65 = 3*b + 5*c, 0 = 2*b - 5*c - 12. What is the remainder when 32 is divided by b?
10
Suppose 2*h - 5*d + 18 = 3*h, 5*d = 5*h. Suppose 2*p - 68 = -h*o, -5*p = -0*p - 5. Calculate the remainder when 86 is divided by o.
20
Suppose 2*i = v + 39, -5*v = 4*i - 76 - 37. Let g = -22 + i. Suppose -y - 2*s + 1 + 12 = g, s - 5 = 0. Calculate the remainder when y is divided by 3.
0
Suppose t + 16*t = 238. What is the remainder when 41 is divided by t?
13
Let w(k) = -k**3 + 12*k**2 + k - 3. Suppose 0 = 5*b - 36 - 24. Let l be w(b). Calculate the remainder when 4/12 + 591/l is divided by 23.
20
Suppose -2 = 3*f - 8. Let i(x) = 2*x**3 + 3*x**2 + 6*x - 8. What is the remainder when 92 is divided by i(f)?
28
What is the remainder when 103 is divided by (-19 + (-21)/3)/(-2)?
12
Calculate the remainder when 37/(-333) - (-1198)/9 is divided by 50.
33
Let u(n) = n**3 + 5*n**2 + 4*n + 5. Let l be u(-4). Suppose l*p - s = 103, 2*s = -4*p + 64 + 24. Calculate the remainder when p is divided by 84/8 - 4/(-8).
10
Suppose 5*y - 2*d = 11 + 17, 20 = 2*y - 3*d. Suppose o - 5*n - 20 = -3, 0 = -y*o - 3*n - 24. What is the remainder when 20 is divided by (11/(-3)*o)/1?
9
Suppose -51*p - 99 = -1680. Calculate the remainder when 91 is divided by p.
29
Suppose 24*a - 833 - 223 = 0. What is the remainder when 305 is divided by a?
41
Let u(s) = -s**3 + 12*s**2 + 11*s + 13. Let b be u(12). What is the remainder when -3 - b/10*-6 is divided by 43?
41
Let k be 0/7*(-2)/4. What is the remainder when 56 is divided by 18 + (-3 - k) + 0?
11
Let c(g) = g + 15. Suppose 6 = -4*b + 66. What is the remainder when 57 is divided by c(b)?
27
Let w(a) = 2*a**2 - 4*a - 1. Let p(g) = g**3 - 8*g**2 - 10*g + 7. Let t be p(9). What is the remainder when 44 is divided by w(t)?
14
Let w be 4/(-8)*-2*2. What is the remainder when (-6)/4*(-106)/3 is divided by -3 - (-23 + 0 + w)?
17
Suppose -19 = 3*c - 106. Calculate the remainder when (-275)/(-5) + 2/(-2)*-1 is divided by c.
27
Let p = 646 - 229. What is the remainder when p is divided by 30?
27
Let f(c) = c**2 - 4*c + 1. Calculate the remainder when f(6) is divided by 10.
3
Suppose 0 = -2*y + n + 75, 4*y - y - 4*n - 100 = 0. Let j(s) = s**3 - 6*s**2 - 4*s - 7. Let l be (7 - 8)*7*-1. What is the remainder when y i