alculate the remainder when x is divided by a.
24
Suppose -167*a - 36 = -171*a. Calculate the remainder when 38 is divided by a.
2
Suppose -5*h = -61 - 59. Calculate the remainder when 647 is divided by h.
23
Suppose 0 = -4*f + 7*f. Let z be 4*(1 - f/(-2)). Suppose 44 = 2*b + z*k, -3*k - 33 = -4*b - 0*b. What is the remainder when 23 is divided by b?
11
Suppose 5*w + 284 = 2*u - 251, 295 = u + 3*w. Calculate the remainder when u is divided by 88.
16
Let m(g) = -7*g**2 + 217*g + 21. What is the remainder when 144 is divided by m(31)?
18
Let s = 23 + 24. Suppose -4*j + 415 = s. What is the remainder when j is divided by 19?
16
Suppose -26*s = -29*s - 5*n + 236, 0 = s + 4*n - 67. What is the remainder when 333 is divided by s?
72
Let g = -1027 + 1321. What is the remainder when g is divided by 99?
96
Let m = 3 + -3. Let b(j) = m + j - 1 - 1 + 0. Calculate the remainder when 9 is divided by b(8).
3
Let v be 3/(-15) - (-236)/(-20). Let d = -10 - v. Suppose d*j - 51 = -g, -j + 145 = 4*j - g. Calculate the remainder when j is divided by 10.
8
Suppose 23*f - 3835 = 5825. Calculate the remainder when f is divided by 53.
49
Suppose 2*x - 2*n = 96, -4*x + 4*n = x - 235. Let u be (-4)/18 + (-2)/(-9). What is the remainder when x is divided by 3*-5*(u - 1)?
13
Let p(v) = v**3 - 7*v**2 + 7*v + 8. Let j(u) = u**3 - 6*u**2 + 4*u - 6. Let w be j(4). Let t = w + 27. What is the remainder when p(6) is divided by t?
4
Let i = 207 + -114. Let s = i + -69. Calculate the remainder when s is divided by 9.
6
Let v = -23 + 14. Let c = v - -14. Suppose 5*o - 39 = 2*o + 2*r, c*o = 5*r + 65. Calculate the remainder when 37 is divided by o.
11
Let m be -1 + (-1 - -3 - 3). Calculate the remainder when 6/(-5)*(0 + -45) is divided by 2*m - (-108)/6.
12
Let f = -92 - -281. Let s = f + -101. Calculate the remainder when s is divided by 6.
4
Let r = 77 - 42. What is the remainder when (510/r)/(4/28) is divided by 26?
24
Let j(z) = z**3 - 8*z**2 + 2*z - 4. Let q(l) = -l**2 - 8*l - 4. Let n be q(-6). Let s be j(n). Let o = s + 6. Calculate the remainder when 51 is divided by o.
15
What is the remainder when 190 is divided by ((-2)/2)/((-1149)/(-192) - 6)?
62
Let k(r) = -r**3 - 19*r**2 + 16*r - 64. What is the remainder when 76 is divided by k(-20)?
12
Let s(i) = -i**3 - 12*i**2 + 8*i - 5. Let o be s(-13). Suppose -w = -t + 42, o = t + 4*w + w. What is the remainder when t is divided by 23?
22
Let p = -27 - -33. What is the remainder when 29 is divided by (-10)/(-30) + 88/p?
14
Suppose -1 = -3*u - 4*h, -4*h = u - 0*u + 5. What is the remainder when 63 is divided by 6/(-39) - (u - (-210)/(-13))?
11
Calculate the remainder when 62 is divided by ((-50)/(-30))/(3/45).
12
What is the remainder when 114 is divided by ((-31)/(-186))/((-1)/(-3))*58?
27
Suppose 12*n - 19*n + 2814 = 0. What is the remainder when n is divided by 65?
12
Let f(j) = j**2 + j - 4. Let t be f(-2). What is the remainder when 12 is divided by ((-14)/(-3))/(t/(-3))?
5
What is the remainder when ((-3)/2)/(-1*12/424) is divided by 15?
8
Let c(a) = a**3 - 8*a**2 + a + 3. Calculate the remainder when c(8) is divided by 8.
3
Let j = 180 - 185. Let c(w) = -14*w**3 + w**2 + 2*w + 1. Let i be c(-1). Let x = i + j. What is the remainder when 33 is divided by x?
6
Let a(o) = -o**3 + 10*o**2 - 8*o - 1. Let w(y) = 9*y - 3. Suppose 2*u + 3 - 7 = 0. Calculate the remainder when w(u) is divided by a(9).
7
Let b = -829 + 857. Calculate the remainder when 641 is divided by b.
25
Suppose 6*a = 7*a. Suppose 2*s - d - 32 = s, 2*s + d - 64 = a. Calculate the remainder when s is divided by 12.
8
Suppose -266 = -4*g + m, 5*m - 144 = -2*g - 0*g. Let d = -65 + g. Calculate the remainder when 2/(-5) - 27/(-5) is divided by d.
1
Suppose 60 = -26*j + 31*j. What is the remainder when 25 is divided by j?
1
Suppose z = -4*z + 20. Suppose -w - w = z. What is the remainder when (-116)/((-12)/3) - w is divided by 11?
9
Let t(p) = -p**3 + 15*p**2 - 6*p - 99. What is the remainder when 1455 is divided by t(14)?
12
Let k be -2*(-1)/((-4)/6). Suppose 7*g = 91 + 336. Calculate the remainder when g is divided by (3/(-2))/(k/42).
19
Suppose 0 = -4*b + 4*g - 6 + 122, -4 = -g. Calculate the remainder when 1185 is divided by b.
30
Suppose -8 = f + 5*q + 6, -f + 3*q + 26 = 0. Let h(v) = -5*v + 1 - 3 - v. Calculate the remainder when h(-9) is divided by f.
8
Suppose 0 = 4*g + w - 271, 15*g - 18*g + 5*w + 232 = 0. Calculate the remainder when 258 is divided by g.
51
Suppose 0 = 4*d + w - 71, 4*d - 80 = 2*w - 6*w. Suppose 0 = -5*r - 296 + 76. Let y = 6 - r. What is the remainder when y is divided by d?
16
Suppose 0 = -h - 4*a - 7, 5*a = 5*h - h - 35. Suppose 4*o + h = -o. What is the remainder when 23 is divided by 1*(o + 0) + 13?
11
Let r(f) = -78*f**2 + f - 1. Let h be r(1). What is the remainder when 25 is divided by (h/(-8))/(9/12)?
12
Let q be -1 - -64 - 2*-2. Let m = q - 3. Calculate the remainder when m is divided by 17.
13
Suppose -7*u + 3*u - 4*b + 84 = 0, -2*b = 5*u - 108. Let n(q) = q - 4*q + 0*q**2 + 2*q + q**2. Calculate the remainder when u is divided by n(-3).
10
Suppose -52 = -r - 0*r - v, 2*v + 58 = r. Let y = r - 30. What is the remainder when 14/(-7) - -1*y is divided by 8?
6
Let m = -2793 + 2849. Calculate the remainder when m is divided by 29.
27
Let a = 491 + -488. Suppose 3*w - 25 = -3*j + 2*j, -4*w + 108 = 4*j. What is the remainder when j is divided by a?
1
Suppose 0 = 10*d - 924 + 254. Suppose 0 = 2*r - 3*h - 39 - 4, 3*r = 5*h + d. What is the remainder when 55 is divided by r?
13
Let s(k) = -14*k - 44. What is the remainder when 161 is divided by s(-7)?
53
Let t be (140/(-6))/(-3 - 35/(-15)). Let g = -30 + t. Calculate the remainder when 9 is divided by g.
4
Let x be 3/(3/9*3). Let a(l) = -l**2 - 1. Let g(w) = -w**3 + 6*w**2 + 4*w + 1. Let k(z) = -5*a(z) - g(z). What is the remainder when k(x) is divided by 6?
4
Suppose 3*t - 5 = 1. Let w = -58 + 100. Suppose i - w = -2*s + 4*i, t*s - 58 = -5*i. What is the remainder when s is divided by 9?
6
Let s(q) = q**3 + 10*q**2 + 21*q + 12. What is the remainder when 69 is divided by s(-4)?
21
Let i = 4477 + -4449. Let o = 81 + -29. What is the remainder when o is divided by i?
24
Suppose -9 = 3*u, -5*r + 368 + 1285 = 4*u. Calculate the remainder when r is divided by 30.
3
Calculate the remainder when 883 is divided by 4/((-1 - (-220)/25) + -7).
3
Suppose -50*m = -39*m - 550. What is the remainder when 798 is divided by m?
48
Suppose 218 = -4*v + 6*v + 3*j, 4*v = 3*j + 454. What is the remainder when v is divided by 10?
2
Let s be 4259/9 + (-12)/54. Suppose -2*d = 2, d - s = -5*y - d. Calculate the remainder when y is divided by 32.
31
Suppose 0 = b - 9 - 15. Let j be -1 - 25/(-35) - 144/(-14). Suppose s + 3*o - 16 = 0, s - 4 - j = -o. What is the remainder when b is divided by s?
11
Suppose 5*q + 115 - 18 = 4*r, 5*r = 4*q + 119. What is the remainder when r is divided by 5?
3
Suppose -r + y + 1 = -2, 0 = -4*r + y. Let p(t) = -t**3 - 7*t**2 - 2. Let u be p(-7). What is the remainder when -71*(-1 - u)*r is divided by 37?
34
Suppose 0 = -0*i + 12*i - 108. Let t = 2 + 3. Let h = -2 + t. What is the remainder when i is divided by h?
0
Suppose 2*l + 90 = 2*x, 5*l + 220 = 2*x - 2. Let m = 54 + l. Calculate the remainder when 106 is divided by m.
6
Suppose 7*g + 81 = 10*g. What is the remainder when g is divided by 10?
7
Let f = -145 - -290. What is the remainder when f is divided by 76?
69
Let q(w) = -w - 10. Let d be q(-15). Suppose 0 = 5*m + 3*l - 44, d*m + l - 2*l = 32. Calculate the remainder when 12 is divided by m.
5
What is the remainder when 111/(15/(-20) + (-5)/(-4)) is divided by 28?
26
Suppose 25*k - 630 = 1545. What is the remainder when 258 is divided by k?
84
Suppose -7*z - 10 = -5*f - 2*z, -4*f - 3*z + 1 = 0. Calculate the remainder when 193 is divided by f/((-174)/1078 + (-10)/(-55)).
46
Suppose -2*c + 2*t + 1 = -3, 0 = 4*c - 3*t - 10. Suppose -3*u - a + 126 = 0, -c*a = 2*u - a - 77. Calculate the remainder when u is divided by 11.
10
What is the remainder when 22 is divided by -2 - (3/(9/(-48)) + 5)?
4
Let q = -32 + 38. What is the remainder when 57 is divided by q?
3
Suppose 0 = 3*c, 0 = -3*t - 4*c - 111 + 360. Calculate the remainder when t is divided by 23.
14
Let z be (4/12)/((