 remainder when 4/6 - w/3 is divided by 18.
15
Suppose 6190 = 5*y - 31*i + 36*i, 3*i + 6150 = 5*y. Calculate the remainder when y is divided by 19.
17
Let t(u) = -u + 2 - 3*u + 21*u**2 + 4*u + u. What is the remainder when 54 is divided by t(-1)?
10
Suppose 36 + 386 = 2*z - x, 4*z - 844 = -3*x. Let n = z + -201. Calculate the remainder when 43 is divided by n.
3
Let k = 3937 - 3907. Calculate the remainder when 716 is divided by k.
26
Suppose -3*v = d - 4487, -100*d + 105*d + 5*v - 22425 = 0. What is the remainder when d is divided by 7?
4
Let q(g) = -4*g**3 - 8*g**2 + 8*g - 31. Let o(d) = 7*d**3 + 14*d**2 - 17*d + 62. Let r(i) = 3*o(i) + 5*q(i). What is the remainder when 276 is divided by r(0)?
28
Suppose 4*t - 551 = n, 22*n - 25*n + 676 = 5*t. Calculate the remainder when t is divided by -3 + (14 + -1)*3.
29
Let h(g) = -181*g + 8040. Calculate the remainder when h(16) is divided by 31.
29
Suppose -4*l - 76 = -4*k + 52, 0 = 4*l - 12. Let x = 45766 - 45628. Calculate the remainder when x is divided by k.
33
Suppose t - 962 = 128. Let d = -39 + 168. What is the remainder when d is divided by t/40 - (-10)/(-8)?
25
Suppose -a - 4*y = -55, -157 = 2*a - 6*a + 5*y. Calculate the remainder when 6790 is divided by a.
39
Let p(z) = -z**3 - 19*z**2 - 34*z + 13. Let g be p(-17). Suppose -g - 37 = -2*h. Calculate the remainder when 48 is divided by h.
23
Let p = 26 + -15. Suppose -3*n - 21 = -33. Suppose 232 = n*y + 4*y. What is the remainder when y is divided by p?
7
Let k = 1020 - 725. Suppose 712 = 303*p - k*p. What is the remainder when p is divided by (-2)/6 - 91/(-3)?
29
Let x(h) = -h**2 + 75*h + 2995. Suppose 58 - 248 = -5*t. What is the remainder when x(103) is divided by t?
35
Let j = 245 - 241. Suppose 84 = 4*p + 2*d, j*d + 96 = 4*p - 0*p. Calculate the remainder when 149 is divided by p.
17
What is the remainder when -7 - -3 - 2 - (-13 + 11) - -875 is divided by 857?
14
Suppose -33 = -6*r + 15. Suppose 1258 = r*d - 3182. What is the remainder when d is divided by 16?
11
Let q = 62 + -6. Let s(p) = p**3 + 9*p**2 + 8*p + 21. Let l be s(-5). Let o = l - q. What is the remainder when o is divided by 14?
11
Suppose 42*i - 6*i - 13248 = -33*i. What is the remainder when 3046 is divided by i?
166
Suppose 4*g = -116*z + 118*z - 3610, 2*z + 2*g = 3640. Calculate the remainder when z is divided by 58.
17
Let d be (-8)/(-6)*9*-1. Let h be 6/(24/(-20)) + 18/(-2) + -1. What is the remainder when 119 is divided by (h/2)/(10 + -7)*d?
29
Let l(h) = h + 13. Let d be l(-9). Let u be (d - (-69)/(-12))/((-3)/12). Suppose -14*r + u*r + 476 = 0. What is the remainder when r is divided by 19?
11
Suppose 34*z - 46*z = -4176. Calculate the remainder when z is divided by 160.
28
Let f(w) = -4 - 18 - 3 + 12*w + w**2. Let l be f(-14). Suppose h + 3 = -5*g + 26, l*g - 3*h - 3 = 0. Calculate the remainder when 26 is divided by g.
2
Let r(h) = -2*h**2 + 54*h + 213. What is the remainder when r(12) is divided by 247?
79
Suppose 1 = -k + 3. Suppose -3*s + 86 = k. Let m = s + -11. What is the remainder when 48 is divided by m?
14
Suppose -m = -5*b - 8 - 5, -b = -2*m + 62. Let v(l) = -l**2 - 16*l + 12. Suppose -86 - 26 = 7*s. Calculate the remainder when m is divided by v(s).
9
Let p = 21 - 10. Calculate the remainder when 49/63*72 - (-2 - -12) is divided by p.
2
Let k(a) = -a**3 - 5*a**2 - a - 2. Let y be k(-5). Suppose -y*h = -0*h - 42. Calculate the remainder when (-435)/(-8) - 78/208 is divided by h.
12
Let f = 117 + -105. Suppose -f = -5*g + 43. Let a = -8 + g. What is the remainder when 11 is divided by a?
2
Let j(x) = 8688*x**2 + 18*x + 14. Calculate the remainder when j(-1) is divided by 101.
99
Let t = -3079 + 3420. Calculate the remainder when t is divided by 124.
93
Calculate the remainder when 181 is divided by (-51)/(-4)*(38 - 34).
28
Suppose 2*g + 5*h = 1250, g - 70 - 541 = h. Calculate the remainder when g is divided by 14.
13
Suppose h - 240*z - 163 = -242*z, -4*h = z - 666. What is the remainder when 1660 is divided by h?
157
Suppose -2*v + 4*i + i = -55, -95 = -3*v - 5*i. Let r = 285 - v. What is the remainder when r is divided by 37?
33
Let k(q) = 236*q - 20. Let p(w) = -3*w - 3. What is the remainder when k(2) is divided by p(-9)?
20
Suppose 10 = -7*g + 31. Suppose -3*t = -g*x + 12, 3*x + 4*t + 1 = 34. Calculate the remainder when x is divided by 4.
3
Let i(k) = -k**3 + 52*k**2 + 31*k + 15. Calculate the remainder when i(51) is divided by 20.
17
Suppose m = 3*u - 215, 1759*m - 1758*m = -4*u + 282. What is the remainder when 5748 is divided by u?
68
What is the remainder when (-68)/34 - (5 + -149) is divided by 18?
16
Let c(v) = -8*v**3 - 47*v**2 - 2*v - 25. What is the remainder when 221 is divided by c(-6)?
14
Suppose -34*z + 33*z = -5. Suppose 0 = -z*o + 15*o - 3210. Calculate the remainder when o is divided by 65.
61
Let n(c) = 5*c**2 - c + 2. Let q be n(2). Suppose -p = 3*v - 0*p - 23, 4*p = 4*v - q. Calculate the remainder when -3*((-264)/36 - -1) is divided by v.
5
Let m = -1294 - -1291. Suppose -3*c + 88 = -c. Calculate the remainder when c is divided by (-132)/(m - 8) + 0.
8
Suppose 0 = 4*m - 13 - 15. Suppose 4*a - 57 = 5*b + m, 3*a = 3. Calculate the remainder when 54 + (b/4 - 1) is divided by 13.
11
Suppose 3*i + 599*h - 2092 = 600*h, 5*i - 5*h = 3470. What is the remainder when i is divided by 5?
4
Let f = 483 + -255. Let b = 337 - f. Calculate the remainder when b is divided by 40.
29
Let d = -43437 + 43819. What is the remainder when 1327 is divided by d?
181
Let k(f) = 13*f**3 - 3*f**2 + 2*f + 4. Let j(z) = -5*z**2 + 265*z + 556. Calculate the remainder when k(3) is divided by j(55).
4
Let p be (11/((-231)/(-28)))/(2/6). Let n = 66 + -66. Suppose 28 = -n*u + p*u. What is the remainder when u is divided by 5?
2
Let f = -2 + 0. Let c(y) = 8 - 7 + 11 - 18 - 20*y + 5. Calculate the remainder when 231 is divided by c(f).
36
Suppose 3*l + 27 = p, -2*p + 5*l = 2*p - 66. What is the remainder when 12 is divided by p?
3
Suppose -5*a = -3*r + 322, 3 - 471 = -4*r - 3*a. Calculate the remainder when 3305 is divided by r.
113
Suppose 5*l + 249 = 3*a - 294, 3*l = 5*a - 313. Let w = l + 122. Suppose -j - 7*h + 9*h + w = 0, 2*j + 5*h = 22. What is the remainder when 16 is divided by j?
5
Let j = 10615 - 10580. Suppose -2*f + 1328 - 362 = 4*p, 1202 = 5*p - 3*f. Calculate the remainder when p is divided by j.
31
Suppose 0 = 3*f + 3*f - 48. Suppose -3*b = -7*b + f. What is the remainder when 39 is divided by b + 33/3 - (-2 - -1)?
11
Suppose -3*d = 29 + 55. Let h = 4 - d. Suppose 3*l + 2*l = 45. Calculate the remainder when h is divided by l.
5
Suppose 677 = 2*t - r, -67*t + 70*t - 1043 = -4*r. What is the remainder when t is divided by 48?
5
Suppose 18*f - 2560 = -454. What is the remainder when f is divided by 10?
7
Let p(f) = 34*f**2 - 923*f + 151. What is the remainder when (-856)/(-7) - (-6)/(-21) is divided by p(27)?
10
Let d(l) = l + 5. Suppose 5*c = 2*c + 6. Suppose -u = -c*t - 9 - 2, -19 = -2*u + 3*t. Calculate the remainder when d(14) is divided by u.
4
Let l(f) = 31*f - 96. Calculate the remainder when l(7) is divided by (-820)/180*6*(-3)/2.
39
Let w be 3 - 1 - 2 - -2. Suppose -3*m - 5*f = 5 - 40, w*m + 5*f = 30. Suppose -m*a + 2*a + 156 = 0. What is the remainder when a is divided by 14?
10
Let a(j) = -j**3 + j**2 + j + 95. Let i(k) = -20*k - 52. Calculate the remainder when a(0) is divided by i(-5).
47
Suppose -1 = 4*j - 25. What is the remainder when -6*(10 + -7 + -4)/1 is divided by j?
0
Let h be 1*((-8)/32 - (-2)/8). Suppose h = -3*j + 29 - 14. Suppose -j*r = -6*r + 9. Calculate the remainder when 41 is divided by r.
5
Let p(o) = 207*o. What is the remainder when p(1) is divided by 7*(2583/147 - 10)?
48
Calculate the remainder when 335 is divided by (-4040)/(-90) - 8 - (-2)/18.
2
Suppose 0 = 4*j + 16, -109 = -3*m - 4*j + 5*j. Suppose -c - 50 = -3*n, m = 3*n - 11*c + 13*c. Calculate the remainder when 239 is divided by n.
14
Let h(p) = -6*p - 3*p - 18 + 11*p**2 + 18*p - p**3. What is the remainder when 404 is divided by h(11)?
80
Let i be ((-5)/5*-1*1)/(-1). What is the remainder when 141 is divided by 0 + 4 + 7 + 6 + i?
13
Suppose 23*q - 12*q = 374. Suppose 139 = 4*y - x, -q = 2*y - 4*x - 86. Calculate the remainder when y is divided by 10.
6
