alculate the remainder when x is divided by 23.
20
Let q(x) = x**2 + 9*x + 42. Let j be q(-8). Suppose -a - 3*a = -4*u - 8, 0 = 3*u + 5*a - j. Calculate the remainder when 13 is divided by u.
1
Suppose 3*n + n = -4*n. Suppose -5*x - 2*i = -4 - 36, -5*x - 5*i + 40 = n. Calculate the remainder when 38 is divided by x.
6
Let t = -1269 + 1357. Let j(z) = 2*z**3 - 5*z**2 + 3*z - 3. Calculate the remainder when t is divided by j(3).
13
Let f = -33 + 36. Suppose 11 = -t + 2*n, f*t + t + 4*n = -44. What is the remainder when 85 is divided by t/((-1)/6*3)?
19
Suppose x + 2*x + 2*w - 40 = 0, 0 = -2*x - 5*w + 12. What is the remainder when 238 is divided by x?
14
Calculate the remainder when 163 is divided by (6/8)/(-6 - 1971/(-328)).
81
Let l = 197 + -27. What is the remainder when l is divided by 43?
41
Let q(r) = 32*r - 18. Calculate the remainder when q(3) is divided by 9.
6
Let u(k) = -k**3 + 5*k**2 + 75*k + 19. Calculate the remainder when u(10) is divided by 45.
44
Let g(w) = w**2 - w + 3. Suppose -r = 2, -5*r = -0*v - 5*v + 20. Suppose 2*p - 8 + v = 0. Calculate the remainder when 31 is divided by g(p).
4
Let u = -799 - -868. What is the remainder when u is divided by 43?
26
Suppose 1 = -2*m - c, -4*c - 9 = -2*m - 3*c. Suppose -m*b + 10 = -10. What is the remainder when 18 is divided by b?
8
Let w(b) = -3*b - 11. Let o be -11 + (-6)/(-3) + 1. What is the remainder when 37 is divided by w(o)?
11
Suppose -24 = g - 4*g. Suppose 0 = -4*x + 24 - 4. What is the remainder when g is divided by x?
3
Calculate the remainder when (3/12)/((-2)/(-5592)) is divided by 54.
51
Let w(j) = 2*j**2 - 23*j + 186. What is the remainder when w(15) is divided by 27?
21
Suppose -4*n + 54 = 4*h - 1114, 3*n + h - 872 = 0. What is the remainder when n is divided by 21?
17
Let t(a) = 17*a + 61. What is the remainder when t(7) is divided by 19?
9
Let k(w) = -w**3 + 12*w**2 + 12*w - 37. Calculate the remainder when k(10) is divided by 13.
10
Suppose 2*g + 15 = -2*t + 109, 2*g - 141 = -3*t. Let j = -29 + t. Calculate the remainder when 69 is divided by j.
15
Let r be 2*34*3/2. Suppose 0*i + 2*i = r. Suppose -29 - 5 = -2*w + 5*s, -2*w + 58 = s. Calculate the remainder when i is divided by w.
24
Suppose 0 = -13*f + 10*f. Suppose -n + 43 = -f*n. Calculate the remainder when n is divided by (-327)/(-15) + (-1)/(-5).
21
Let n be 0 + (-12)/8*-6. Calculate the remainder when 191 is divided by 348/n - 1*(-3)/9.
35
Let d(g) = -g**2 - 19*g + 23. Let u be d(-16). Suppose -u = -9*c - 17. Let f = 43 - 21. What is the remainder when f is divided by c?
4
What is the remainder when (-2348)/(-16) - 5/40*-2 is divided by 31?
23
Let i = 72 - 68. Suppose 0 = -y - c + 5*c + 339, i*c = 4*y - 1380. Calculate the remainder when y is divided by 14.
11
Let d be ((-3)/(-2))/((-9)/(-402)). Suppose c = 2*c - d. What is the remainder when c is divided by 14?
11
Suppose -2*c + 477 - 147 = 0. Calculate the remainder when c is divided by 38.
13
Let i(w) = w**2 - 21*w + 132. What is the remainder when i(0) is divided by 2/(-8) - (-1267)/28?
42
Suppose -26*a = -2*a - 696. Suppose -7*x + 340 = -5*x. Calculate the remainder when x is divided by a.
25
Let h = 83 - 21. Suppose 3*d + 0*m - 94 = -2*m, 3*d + 3*m - 93 = 0. What is the remainder when h is divided by d?
30
Let d(a) = a**2 + 41*a + 93. What is the remainder when d(-39) is divided by 8?
7
Suppose 2*q - 3*y + 0 - 9 = 0, 23 = 3*q + 5*y. Calculate the remainder when 23 is divided by q.
5
What is the remainder when ((-14)/3)/((-1057)/525 - -2) is divided by 32?
30
Let u = -11 - -24. Suppose -14*c + 496 = 76. Suppose 0*v - 5*j + c = v, 4*v - 99 = j. What is the remainder when v is divided by u?
12
Calculate the remainder when ((-816)/(-255))/((-1)/(-10)) is divided by 9.
5
Let m(z) = -z**2 - 15*z + 21. Let d be m(-18). Let n = d + 43. Calculate the remainder when n is divided by 6.
4
Suppose -4*u + 27*a + 216 = 31*a, -49 = -u - 2*a. Calculate the remainder when u is divided by 30.
29
Let c(n) = 44*n - 43. Let m(s) = 90*s - 87. Let v(d) = 5*c(d) - 2*m(d). Calculate the remainder when v(8) is divided by 47.
44
Calculate the remainder when -68*((-1)/(32/(-40)) - 3) is divided by 52.
15
Suppose 6*m = 148 + 164. What is the remainder when m is divided by 20?
12
Let c = 4 - 6. Let y be 4/(-6)*3/c. Calculate the remainder when (-3)/3*(-2)/y is divided by 2.
0
Let u = -33 + 35. Suppose 0*a + a + u*n - 36 = 0, 4*n = -3*a + 98. Calculate the remainder when a is divided by 7.
5
Let c(p) = -p**3 + 33*p**2 + 23. Let j = -50 - -95. What is the remainder when j is divided by c(33)?
22
Let w be 160/(-10) + 1*2. Let v = w + 8. Let d = 17 + v. What is the remainder when 19 is divided by d?
8
Suppose 23*l + 15 = 18*l. Calculate the remainder when 12 is divided by (-24)/(-10)*(l - 38/(-6)).
4
Suppose 657 = 3*z - 4*g, -6*z + 2*z + 876 = g. Calculate the remainder when 445 is divided by z.
7
Suppose -4*q - 2*m - 92 = -134, 0 = -4*m + 20. Calculate the remainder when 219 is divided by q.
3
Suppose -6024*n = -6036*n + 888. Calculate the remainder when 739 is divided by n.
73
Suppose 4*a - 263 = 3*v - 47, -2*v - 145 = -3*a. Let c = v + 86. Calculate the remainder when c is divided by 5.
3
Suppose 3*x - 9 = -u + 12, 0 = 3*x + 5*u - 21. Suppose 2*n - 11 = -v, -n + 0 = 3*v - 13. Calculate the remainder when 2 - -1*(n + 7) is divided by x.
6
Let c be 2/(-4) + 2/4. Suppose -j = -c*j - 9. Suppose -22*t + 76 + 134 = 20*t. Calculate the remainder when j is divided by t.
4
Let n be (-2)/25*-5*15. Suppose w + 0 - n = 0. What is the remainder when 28 is divided by w?
4
Suppose 3*w + 3*q - 9 = -54, 0 = 3*w + 2*q + 45. Let h = w + 15. Suppose h*o = 3*o - 51. What is the remainder when 47 is divided by o?
13
Let j(f) = 3*f**2 + 28*f - 16. Suppose 0 = -3*m - 2*m + 40. Calculate the remainder when m is divided by j(-10).
0
Let w(q) = -q**3 + 14*q**2 + 18*q - 260. Calculate the remainder when w(9) is divided by 39.
34
Suppose -3*j - 4*s + 269 = 0, 2*j - 13*s - 151 = -10*s. Let a(r) = -22*r**3 - r**2 - r. Calculate the remainder when j is divided by a(-1).
17
Let m be (-3 - 12)*(-4)/(-4). Let k = m - -27. What is the remainder when 18 is divided by k?
6
Calculate the remainder when (4 + 2 - 2) + 181 - 4 is divided by 37.
33
Let p = -770 - -874. Calculate the remainder when p is divided by 26.
0
Let o = 16 - -6. Suppose 18*w = o*w - 212. Calculate the remainder when w is divided by 18.
17
Let j(y) = 2*y**2 + 3*y + 3. Calculate the remainder when j(9) is divided by 28.
24
Suppose -4*y - 40 = -4*l, -5*l - 3*y = -0*y - 10. Suppose l*i = i + 80. Let c = i - 1. What is the remainder when 73 is divided by c?
16
Let z = 17 + -25. Let l = 17 + z. What is the remainder when (-25)/((-3)/(-6)*-2) is divided by l?
7
What is the remainder when 50*((-18)/24)/(12/(-80)) is divided by 18?
16
Let s(c) = 19*c**2 + 6*c + 6. Let q be s(-3). Suppose 6*j = -189 - q. Let h = 110 + j. Calculate the remainder when h is divided by 14.
10
Suppose n - 5 = 12. What is the remainder when (9 - (-20 + -11)) + -8 is divided by n?
15
Calculate the remainder when 171 is divided by -4*10/3*(-423)/188.
21
Let j(r) = r**2 - r - 4. Let o be j(3). Suppose -o*n + 0*n = 3*t - 56, 2*t - 3*n = 59. Let v(s) = 3*s + 3. What is the remainder when t is divided by v(3)?
10
Suppose 4*m = -5*h + 165, -118 = -2*m - h - 43. Let c(d) = 11*d**2 - 3*d - 2. What is the remainder when m is divided by c(-1)?
11
Let o(i) = 13*i - 10*i + 1 - 4*i - 3 + i**2. Calculate the remainder when o(8) is divided by 14.
12
Let c(h) = 40*h - 108. Calculate the remainder when 152 is divided by c(4).
48
Suppose 5 = 3*r - 4*j, -r - j - 1 = -3*j. Suppose 4*t + 273 = r*t. Suppose 109 + 48 = 5*p - 3*w, -5*w = -3*p + t. What is the remainder when p is divided by 11?
10
Suppose -2*g = 2, -13*o + 5*g = -8*o - 135. What is the remainder when 254 is divided by o?
20
Suppose 5*u - 5*p - 10 = 0, 4*u + p - 2 = u. Let q = u - -3. Suppose q*r - 16 = 3*w, -4*r + 5*w + 7 = -9. Calculate the remainder when 14 is divided by r.
2
Suppose -3*c + 12 = 3*l, -5*c + c = -8. Suppose -l*x = 4*x - 186. What is the remainder when x is divided by 11?
9
Let t be (-81)/(-6) + (-5)/(-10). Let a = t + -11. Suppose -a*v + v = -2*c - 4, 0 = 3*c. Calculate the remainder when 3 is divided by v.
1
Suppose -311*c