mainder when (n + -2 - -1)/(-11 - -13) is divided by 12?
11
Let m = -586 - -1122. Calculate the remainder when m is divided by 90.
86
Let z = 10 + -11. Let i be (-1600)/(-30) + z/3. Let c = i - 35. Calculate the remainder when 51 is divided by c.
15
Let c = 3 + -3. Suppose -5*h + 10 = -c*h. Suppose -2*w + 2 = 2*b - 12, w - 5*b = 7. Calculate the remainder when w is divided by h.
1
Suppose 5*j = 50 - 0. Suppose 0 = 5*n - j*n, 2*o = -5*n + 36. What is the remainder when 71 is divided by o?
17
Suppose 86*a - 2279 - 645 = 0. Calculate the remainder when 160 is divided by a.
24
Let t = 4 + 1. Suppose 6*h = t*h + 25. Calculate the remainder when h is divided by ((-28)/(-6))/((-1)/(-3)).
11
Suppose 32 - 39 = -c - 5*x, -3*x = 3*c - 33. Let j be 32/5 + (-2)/5. Calculate the remainder when 2/j - 208/(-6) is divided by c.
11
Let k be (-58)/(-8) + 0 + (-4)/16. Let q = -1 + k. Calculate the remainder when q is divided by 2.
0
Suppose 4*p + 4*a = 120, 0 = -3*p + 4*p - 3*a - 30. Calculate the remainder when 295 is divided by p.
25
Calculate the remainder when 8/((-16)/(-3))*456/9 is divided by 13.
11
Let w(o) = 2*o**3 - 10*o**2 + o - 22. Calculate the remainder when w(7) is divided by 46.
43
Let w = 598 + 39. Calculate the remainder when w is divided by 32.
29
Suppose 4*k - 8 = -4*j, -4*j + 5*k = -7*j. What is the remainder when 18 is divided by j?
3
Let a(d) = -d**2 + 15*d + 14. Let l be a(14). Let p = -19 + l. Calculate the remainder when 25 is divided by p.
7
Suppose -3*t - 5*q + 493 = 0, 3*t - 2*q - 501 = q. What is the remainder when t is divided by 28?
26
Suppose 3*g + 5*r - 55 = 74, -172 = -4*g - 4*r. Calculate the remainder when g is divided by 15.
13
Let z = 69 - 0. Suppose -z = -3*n + 126. Let l = -28 + n. What is the remainder when l is divided by 13?
11
Let t = -21 + 29. Let x(q) = 46*q - 246. What is the remainder when x(6) is divided by t?
6
Suppose 0 = -64*d + 41*d + 437. What is the remainder when 26 is divided by d?
7
Let g = 34 - 81. What is the remainder when -6 + 10 - g - 2/(-1) is divided by 28?
25
Suppose -133 = -19*t + 18*t. What is the remainder when t is divided by 17?
14
Let i = -330 + 714. Suppose -5*m + i = m. What is the remainder when m is divided by 23?
18
Let x = -6 - -20. Let w(j) = j**2 - 3*j + 11. Let i = 17 + -10. Calculate the remainder when w(i) is divided by x.
11
Let v = 66 - 183. What is the remainder when ((v/(-4))/3)/((-3)/(-8)) is divided by 9 - 6/3*1?
5
Let o = 287 - 165. Suppose 3*j - 4 = 71. What is the remainder when o is divided by j?
22
Let h be 2/(3/(-4) - -1). Let g = 50 - h. Suppose -86*u + 1636 + 256 = 0. What is the remainder when g is divided by u?
20
Suppose -22 - 8 = -2*h. Suppose h = 3*v - 0. Let a(b) = -b**3 - 22*b**2 + 2*b + 63. What is the remainder when a(-22) is divided by v?
4
Let v = -149 - -153. Calculate the remainder when 54 is divided by v.
2
Let g = 21 + -17. Suppose -g*q + 110 = -134. Calculate the remainder when q is divided by 21.
19
Let j(h) = -32*h. Let u(l) = l**2 + l - 2. Let r be u(0). What is the remainder when j(-2) is divided by r/(-2)*20 + 2?
20
What is the remainder when 419 is divided by (-10)/60 + 127/6?
20
Let y(g) = -6*g + 3. Let c(m) = -m + 40. Let f be c(-8). Suppose d - 176 = -3*b + 2*d, -b + f = -3*d. Calculate the remainder when b is divided by y(-3).
18
Suppose -5*t - 3*l + 539 = 0, 5*l - 82 = -4*t + 357. What is the remainder when t is divided by 29?
19
Let a = -220 + 312. What is the remainder when a is divided by 30?
2
Suppose l - 15 = -5*c, -c = 2*l - 3*c - 66. What is the remainder when l is divided by 10?
0
Suppose -2*t = 5*s + 27, -s + t - 2*t = 3. Let g(m) = -3*m - 45. Let u be g(-22). Let l = s + u. Calculate the remainder when 41 is divided by l.
13
Let w(l) = -l - 21. Let o be w(-15). Let k be 68/(-18) + o/27. What is the remainder when -5 + 4 + k + 79 is divided by 15?
14
Suppose 3*i + 4*j = 11, 0 = i - 6*i + 4*j + 29. Suppose -2*g + 5*x + 14 = 0, -5*g + 59 = 2*x - i. What is the remainder when g + (-2)/(-6)*0 is divided by 5?
2
What is the remainder when 95 is divided by (-4446)/(-273) + 3/(-21)*2?
15
Let b = -14 - -18. What is the remainder when 18 is divided by b?
2
Suppose 39 = -5*n - 56. Let x = -10 - n. Suppose 0 = -3*l + 5*q + 96, -l = -5*q - 24 + 12. Calculate the remainder when l is divided by x.
6
Suppose -3*a + 4*y = -173, -20*a = -16*a - 2*y - 234. What is the remainder when 176 is divided by a?
58
What is the remainder when 1*-4 - 3*(-67)/3 is divided by (-27)/(-2) - (-1)/(-2)?
11
Suppose 0 = -7*s - 12*s + 304. Calculate the remainder when (50/2 - 20/(-5))*1 is divided by s.
13
Let l(m) = -10*m - 2. Let r be l(-3). Suppose -6*t + 4*t = -r. Let z = 26 - t. Calculate the remainder when 47 is divided by z.
11
Suppose -2*y - g = -19, 5*y + 8*g = 9*g + 51. What is the remainder when 218 is divided by y?
8
Let x = -376 + 543. What is the remainder when x is divided by 34?
31
Suppose 6 - 22 = 2*t. Let c = 10 - t. Suppose -24 = -l + c. Calculate the remainder when l is divided by 11.
9
Suppose -26*s + 6020 = 2*s. Calculate the remainder when s is divided by 7.
5
Let m = 259 - 103. Suppose 5*k - m = -k. Calculate the remainder when 45 is divided by k.
19
Suppose u - 5*d - 6 = 5*u, 5*u + d + 18 = 0. Calculate the remainder when (3 - 1)/(u/(-206)) is divided by 26.
25
Suppose 0*p + 3*p - 12 = 0. Suppose -6 = -p*y + d - 0*d, 3*y - 2 = 2*d. Calculate the remainder when 58/1*2/y is divided by 12.
10
Calculate the remainder when (1 + -51)*(-11)/22*1 is divided by (-4)/(-1)*(-126)/(-36).
11
Let r = 3 - -326. What is the remainder when r is divided by 30?
29
Let q(n) = 4*n**2 + 4*n - 11. Let k = -488 - -722. Suppose 5*s - k - 16 = 0. Calculate the remainder when s is divided by q(-3).
11
Let v be 54/6 + -3 - 4. What is the remainder when 2/5 + 116/10 is divided by (-48)/(-60)*(7 - v)?
0
Let h be (-7)/(-2) - -6*(-9)/(-36). Suppose 2*q + 10 = -18. Let v = h - q. Calculate the remainder when 74 is divided by v.
17
Suppose z - 54 = -z. Let i = -1870 + 1880. What is the remainder when z is divided by i?
7
Suppose 5*t - 1013 = -2*i, 3*i - 1312 - 170 = 5*t. Calculate the remainder when i is divided by 4.
3
Suppose 0 = 2*z - 5*o - 33, -11 = 5*o + 4. Suppose 5*r = 0, 34 = 2*w + 3*r + 6. Calculate the remainder when w is divided by 0/1 + 36/z.
2
Let i(o) = -51*o + 2. What is the remainder when 20 is divided by i(0)?
0
Suppose -31 - 37 = -4*z. Suppose -3*r + 14 = 2. Suppose 0 = -x + r*i + 56, -x - 3*i - 198 = -5*x. What is the remainder when x is divided by z?
14
Suppose 2*t = -2*k - 6, 0 = -2*k + 5*k - 3*t - 21. Suppose -k*v - 35 + 81 = 0. Calculate the remainder when 88 is divided by v.
19
What is the remainder when 434 is divided by (-5226)/(-182) + (-2)/(-7)?
28
Let l(a) = a**3 - 9*a**2 - 5*a + 6. Suppose 2*n - 3*n = -4. Suppose -65 - 11 = -n*v. What is the remainder when l(10) is divided by v?
18
Let t(o) = o**3 + 13*o**2 - 14*o + 3. Let b be t(-14). Suppose -b*q = -4 - 5. Calculate the remainder when q is divided by 3.
0
Let b(w) = 211*w + 1. Suppose -o = -0 - 1. Let a be b(o). Suppose 5*q - a - 28 = 0. What is the remainder when q is divided by 25?
23
Let t(j) = 3*j**2 + 5*j - 9. Let y(k) = -k**3 - 8*k**2 - 6*k + 3. Let q be y(-7). Calculate the remainder when t(4) is divided by 0 + -3*q*1.
11
Let j be 30 + (2 - 3) + 0. Suppose 5*a - 5*r - 25 = 0, -4*a - r + 2*r = -j. Let z = 11 - a. What is the remainder when 5 is divided by z?
2
Let x = 166 - 107. What is the remainder when 353 is divided by x?
58
Suppose 0*l + 7*l = 35. Suppose -3*t + 20 = t. Suppose -57 = -3*j - 2*d - 2*d, 0 = t*j + 3*d - 95. What is the remainder when j is divided by l?
4
Suppose 3*r - 619 = 5*z, 0*r + 4*z = 5*r - 1023. Suppose 7*p - 623 = -r. Calculate the remainder when p is divided by 21.
18
Let w(v) be the third derivative of 5*v**5/12 - v**4/24 - v**3/3 + 29*v**2. What is the remainder when w(-1) is divided by 13?
11
Suppose -f - 3*w = 6 - 1, 15 = -5*w. What is the remainder when f is divided by 9/36 - 14/(-8)?
0
Let p = 48 + 70. Calculate the remainder when p is divided by 30.
28
Let i(n) = -n**2 + n + 4. Let r be i(3). Let j(l) = -2*l**2 + 21*l - 9. What is the remainder when (r + 2 + 1)*1 is divided by j(10)?
0
Let g be 8/3*-5*(-3)/10. Suppose -2*m + k = -3*m + 41, -206 = -5*m 