1
Suppose 21*k + 2*y = 25*k - 566, 5*k - 715 = 5*y. Calculate the remainder when 559 is divided by k.
139
Let j be (-4 - (-2 + 2)) + 6. Suppose 3*l - 1 = -l + 3*h, l + h = 9. What is the remainder when 35 is divided by (-5 + l)/(j/(-38))?
16
Suppose 0 = 3*c + 2*c + s - 121, -5*c = -5*s - 145. Suppose -24 + 123 = -x. Calculate the remainder when x/22*-10*1 + 4 is divided by c.
24
Suppose -331 = -2*m + u, -m - 4*u = -43 - 100. What is the remainder when m is divided by 3?
1
Let q(n) = n**3 - 35*n**2 - 27*n - 33. What is the remainder when q(36) is divided by 20?
11
Suppose -h = -3*k - 15, 4*h - 78 + 18 = 4*k. Let m(q) = 4*q**3 - 2*q**2 - 3*q - 3. Let v be m(3). Let u = -37 + v. What is the remainder when u is divided by h?
11
Suppose 92*o = 90*o + 2. Let y(s) = 8*s. What is the remainder when y(o) is divided by 8?
0
Suppose -229 = -9*l - 94. What is the remainder when 403 is divided by l?
13
Let s = -884 + 893. Calculate the remainder when 39 is divided by s.
3
Calculate the remainder when 38 is divided by 12/108*258 + 2/(-3).
10
Suppose s - 64 - 99 = 0. What is the remainder when s is divided by 128?
35
What is the remainder when 6824/32 + (-4)/(-48)*-3 is divided by 9?
6
Let z be (-2)/(-3) + 140/(-21). Suppose 0 = -y + 5*x - 5, -y - x + 5 = -14. Calculate the remainder when 190/y - 2/z is divided by 7.
6
Suppose 51 = 30*x - 27*x. What is the remainder when -3*3*(-22 - 7/(-1)) is divided by x?
16
Let z(p) = -10*p - 85. Suppose -2*v = -0*v - 54. Calculate the remainder when v is divided by z(-10).
12
Let l = -30 + 20. Let f = l + 10. Let c(o) = o**3 - o + 77. Calculate the remainder when c(f) is divided by 20.
17
What is the remainder when 316 is divided by 0 + 42 + (-4 - (-14 - -6))?
40
Suppose -2*t - 2 = -6. Let y(i) = i**2 + 9*i - 16. Let j be y(-11). Let c(n) = n**2 - 7*n + 8. What is the remainder when t is divided by c(j)?
0
Suppose 3*j - 19 = 29. Suppose 1 = -2*k - 39. Let q = 11 - k. Calculate the remainder when q is divided by j.
15
Suppose s + 18 = 3*l, l + 0*s - 11 = 2*s. What is the remainder when 22 is divided by 1*(24/(-15))/((-1)/l)?
6
Suppose -3*b = 29 - 20, 4*r + 5*b = 201. Calculate the remainder when r is divided by 35.
19
Let x = -455 - -653. What is the remainder when x is divided by 52?
42
Suppose 10*a - 15 = 7*a. Suppose 172 = 4*j - f, a*j + 2*f - 76 = 152. Calculate the remainder when 83 is divided by j.
39
Let j(w) = 8*w - 5. Let q = 7 + -3. Suppose 0 = -4*t + 36 - q. What is the remainder when j(t) is divided by 20?
19
Let s(k) be the first derivative of k**4/4 + 11*k**3/3 + 13*k**2/2 - 7*k - 10. Calculate the remainder when s(-7) is divided by 25.
23
Let w be ((-4)/(-10))/((40/75)/8). Suppose 0*y - 96 = -w*y. Let d = -47 + 92. Calculate the remainder when d is divided by y.
13
Suppose -s - 4*q + 0*q + 160 = 0, 0 = 2*q - 8. Let g be s*((-21)/4)/(-7). Suppose k - g = -k. What is the remainder when k is divided by 19?
16
What is the remainder when (-1 + (-147)/15)/(4/(-110)) is divided by 24?
9
What is the remainder when 17 is divided by (4 - 4/8)/(1/4)?
3
Suppose -1060*p + 1064*p - 176 = 0. What is the remainder when p is divided by 90/12*4/2?
14
Let g = 109 + -59. Calculate the remainder when 145 is divided by g.
45
Calculate the remainder when (150 + 1 + 0)/(5 - 4) is divided by 7.
4
Suppose 280*r - 293*r + 312 = 0. What is the remainder when 1415 is divided by r?
23
Let n = -83 + 128. Calculate the remainder when n is divided by ((-10)/15)/(2/(-36)).
9
Suppose -33*c + 1180 - 916 = 0. Let d(l) = -6*l + l**2 - 2 + 3*l - 2. Calculate the remainder when d(6) is divided by c.
6
Suppose -4*i - m - 11 = 0, 0 = 4*i + 5*m - 2*m + 1. Calculate the remainder when 163 is divided by 18/i*30/(-9).
13
Let g(t) = -13*t + 3. Let p be g(6). Suppose -f + 3*c + 29 = 0, -c = 4*f - 0*f - 64. What is the remainder when (44/(-10))/(5/p) is divided by f?
15
Suppose 4*s - 18 - 86 = 0. Let b = 215 - 207. What is the remainder when s is divided by 52/b + 4/(-8)*1?
2
Let m(k) = -5*k**3 + 4*k**3 + 6*k**2 + 5 - 14 - 6*k + k**2. Calculate the remainder when 30 is divided by m(5).
8
Let b(y) = -9*y + 256. Calculate the remainder when 194 is divided by b(27).
12
Suppose 29*c - 107*c = -6162. What is the remainder when c is divided by (1/2)/((-1)/(-54))?
25
What is the remainder when 3368/64 - (-33)/88 is divided by 15?
8
Let m = 0 - 0. What is the remainder when (-306)/(-12)*(m + 2) is divided by 8*(1 - 0)*9/4?
15
Suppose 4*a - 39 = a. Let i(f) = -f**2 + 14*f - 9. Let u be i(13). Suppose 28 = n + 6*p - 4*p, u*n - 2*p = 162. What is the remainder when n is divided by a?
12
Suppose -390 = -5*g - 8*g. Suppose 6*y - 430 = y. What is the remainder when y is divided by g?
26
Let o(c) = 52*c**2 + 1. Let m(d) = -d**2 + 3*d + 1. Let x be m(4). Calculate the remainder when o(-1) is divided by 18/(-6*x/27).
26
Let i(b) = -2*b - 12. Let w be i(-8). Calculate the remainder when 23 is divided by w/(55/10 - 5).
7
Suppose -3*z + 58 = -11. Let n = 370 - 257. Calculate the remainder when n is divided by z.
21
Suppose 2*s - 85 = -3*u, 2*u + 5*s = 102 - 27. Let b = -104 + 176. What is the remainder when b is divided by u?
22
Suppose -4*d + 2*d + 2*r + 2 = 0, 5*d - 2*r = 17. Let u = -29 + 44. Calculate the remainder when (d + 0)*57/u is divided by 10.
9
Calculate the remainder when ((-1586)/104)/(((-2)/(-32))/(-1)) is divided by 63.
55
Let v be (-1)/2 + 54/4. Suppose 1 - v = -4*z. Suppose 50 = 3*y - 5*j, z*j = -2*y - 2*y + 57. Calculate the remainder when 28 is divided by y.
13
Let u = 44 - 26. Let y be 70/(-9) - 4/u. Let p(f) = -f**3 - 8*f**2 - 2*f - 11. Calculate the remainder when 8 is divided by p(y).
3
Let z be 1 + -4 - 1*-1. Let s be ((-12)/(-18))/(z/3). What is the remainder when 31 is divided by (-4)/(-16)*(s + 45)?
9
Let n(b) = 16*b - 13. Let v be n(6). Suppose -2*h - 199 = -5*h + o, h - v = -3*o. Suppose -3*g = -g - h. Calculate the remainder when g is divided by 18.
16
Let v = 1609 + -1605. What is the remainder when 6 is divided by v?
2
Suppose s + 0*s + 5*v - 38 = 0, -4*v = -4*s + 80. Let d = s - 1. Calculate the remainder when 63 is divided by d.
19
Let y(c) = -c**3 + 8*c**2 + 10*c - 7. Let o be y(9). Suppose 5*j = -20, 13 = 3*m + o*j - 3. What is the remainder when m is divided by 3?
2
Suppose -u + 3*v - 15 = 0, -u - 9 + 2 = -v. Let d be u + 1 - (-9 + 6). What is the remainder when 7*d*(4 + -2) is divided by 9?
5
Suppose 5*d - 44 = -4*p + 97, p = -5*d + 39. Calculate the remainder when 327 is divided by p.
21
What is the remainder when 52 is divided by -4 + 245/28 + (-1)/(-4)?
2
Let w = -305 + 318. Calculate the remainder when w is divided by 11.
2
Let h(x) = x**3 - 2*x + 1. Let v be (-3)/((-3)/4*2). Suppose 1 + 5 = v*q. Calculate the remainder when h(q) is divided by 12.
10
Let g(m) = m**3 + 13*m**2 + 10*m - 4. Let n(b) = 2*b + 13. Let i be n(-6). Suppose i + 6 = h. What is the remainder when g(-12) is divided by h?
6
Suppose -11*s = -1787 + 764. What is the remainder when 1299 is divided by s?
90
Let f be (6/(-18))/((-1)/(2 + 172)). Suppose -4*v + 3*t + 63 = 0, 5*v + 2*t = v + f. What is the remainder when v is divided by 4?
3
Suppose 65 = -4*r + 309. What is the remainder when r is divided by 32?
29
Suppose 0 = -h + 5*j + 50, 148 = h + h + 2*j. What is the remainder when h is divided by 12?
10
Suppose 0 = -7*g + 65 - 2. Calculate the remainder when 133 is divided by g.
7
Let r = 145 - 138. Calculate the remainder when 48 is divided by r.
6
Suppose 59*i = 54*i + 90. What is the remainder when 84 is divided by i?
12
Calculate the remainder when -7 - 2360/(-90) - 4/18 is divided by 14.
5
Let t(l) = l**3 - 3*l**2 - l. Let k be 1 - (-7)/((-14)/164). Let n = k + 104. Calculate the remainder when t(5) is divided by n.
22
Let v(u) = -3*u + 17. Let x(d) = d**2 + 6*d - 12. Let s be x(-8). Calculate the remainder when 25 is divided by v(s).
0
Let o(v) = -4*v + 2. Let h = -9 - -7. Calculate the remainder when (-3)/(2/h) + 22 is divided by o(-3).
11
Suppose 0 = 4*d + 4*l - 536, -3*l = -3*d - 2*l + 386. What is the remainder when d is divided by 23?
15
Suppose 0 = 4*h - 0*h - 5*y + 7, -h - 1 = -y. Suppose 0*b - h*b + 26 = 0. What is the remainder when 46 is divided by b?
7
Let l(u) = 4*u**2 + 12*u + 4. Let d be l(2). Let t(b) = b**2 + 5*b - 3. Let p be t(-6). Cal