is divided by 27?
23
Let m(v) = -v**2 - 27*v - 42. What is the remainder when 144 is divided by m(-23)?
44
Let j = -992 + 1047. What is the remainder when j is divided by 29?
26
Suppose p - 3*p - u + 232 = 0, -5*u = -4*p + 478. Let y(k) = k**2 - 4*k - 30. Calculate the remainder when p is divided by y(9).
12
What is the remainder when 5*9/((-270)/(-762)) is divided by 10?
7
Suppose 5*t = 2*f + 65, 3*t - 67 = -3*f - 28. What is the remainder when (166/6)/(t/78) is divided by 21?
19
Let j be ((-2)/2)/(2/(-8)). Let v(a) = -19*a - 4. Let t(w) = 39*w + 8. Let h(l) = j*t(l) + 9*v(l). Calculate the remainder when h(-2) is divided by 9.
8
Suppose 0 = -5*z - 5*k + 485, 0 = 5*z - 3*k - 544 + 99. Let m(g) = 9*g - 4. Calculate the remainder when z is divided by m(4).
28
Suppose t - 22 + 18 = 0. Suppose -3*c = -5*c - t. Calculate the remainder when 13 is divided by 1 + c + (-16)/(-4).
1
Let t(p) = p**2 - p - 4. Let s = 74 - 72. Suppose 2*c + s*w + 140 = 5*c, 4 = 2*w. What is the remainder when c is divided by t(6)?
22
Suppose 2*x + 5*j = -0 + 11, x + 5 = j. Let q(y) = -y**3 - 19*y**2 + 2*y + 17. Let s be q(-19). What is the remainder when 6 is divided by (-6)/s*(x + 9)?
0
Suppose 4*n = -4*u + 212, 0 = u + 41 - 42. Let z be 2/((-2)/(-5)) + 0. Suppose z*k - 50 = 20. Calculate the remainder when n is divided by k.
10
Suppose -3*g + 7 = 5*p, -4*g - 2*p = -11 - 3. Let v(n) = n + 1. Let x be v(-3). Let j = x - -6. What is the remainder when j is divided by g?
0
Let i be ((-128)/6)/(3 - 58/18). Suppose 5*s + i = 3*y, 0 = 3*y - 2*s - s - 102. Calculate the remainder when y is divided by 20.
17
Let o(s) = s**2 - 7*s + 4. Let w be o(7). Let f be 2/(-7) - 80/(-35). Suppose -f*u = -w*u + 36. Calculate the remainder when 53 is divided by u.
17
Let c = 450 + -434. Let u(y) = 2*y**2 - 4*y - 1. Let g(i) = i**2 + 4*i - 6. Let w be g(-6). Calculate the remainder when u(w) is divided by c.
15
Let z be ((6 + -3)/1 + -1)/(-1). Let y = -2 - -9. Calculate the remainder when (-1)/z*-1*-4 - -16 is divided by y.
4
Suppose -2*x + 996 = 4*y, -604 = -4*y + 4*x + 368. What is the remainder when y is divided by 25?
22
Suppose 41*q + 8*q - 2312 = -19*q. Let k = 3 - -1. Calculate the remainder when q is divided by k.
2
Suppose -4*t + 191 = -141. Suppose -8 = 3*o - 32. Let n(j) = 2*j + 5. Calculate the remainder when t is divided by n(o).
20
Let j = 8 + 0. What is the remainder when j is divided by (9/12)/(2/8)?
2
Let d(i) = -9*i - 97. Let a be d(-11). Suppose 2*q + t - 120 = -3*q, a*q - 48 = -5*t. Suppose 40 - 5 = 5*n. Calculate the remainder when q is divided by n.
3
Let w(y) be the second derivative of y**5/20 - 11*y**4/12 - y**3 + 5*y**2/2 - 14*y. Calculate the remainder when w(12) is divided by 16.
13
Let l = -32 + 34. Suppose -v + l*h = v - 112, 5*v = -h + 274. What is the remainder when v is divided by 15?
10
Let u(s) = -2*s**3 - 26*s**2 - 27*s - 15. What is the remainder when 186 is divided by u(-12)?
18
Let r be (32/(-40))/((-2)/(-25)). Let z(s) = -s**3 - 11*s**2 - 10*s + 4. Let h be z(r). What is the remainder when (27 + 3)/(-3 + h) is divided by 8?
6
Suppose -2*d - 14*y + 105 = -19*y, 294 = 5*d - 2*y. Calculate the remainder when d is divided by 54.
6
Suppose 0*s - 5*s = 15. Let z(v) = -v**3 - v**2 - 4*v + 2. Let q = -28 + 40. What is the remainder when z(s) is divided by q?
8
Let m(a) = a**3 + 9*a**2 - 7. Let t be m(-9). Let w = -11 - t. Calculate the remainder when 4/((w/11)/(-2)) is divided by 13.
9
Let a(i) = 4*i**2 - 3*i + 2. Let g be a(1). Suppose g*r - 70 = r. What is the remainder when r is divided by 10?
5
Suppose -2*r - 5*j = -7 + 1, -3*r + 4*j = -32. Let b = 38 + -10. Calculate the remainder when b is divided by r.
4
Let x = -17 - -19. Suppose -4*o = u + 1, -4*u - 13 = -x*o - 9*u. What is the remainder when -1 - 1 - (-71 + o) is divided by 24?
22
Suppose 112 = 9*f - 563. What is the remainder when f is divided by 27?
21
Suppose 3*h + 79 = 5*r - 250, 2*r = h + 131. What is the remainder when 243 is divided by r?
51
Let l(y) = 127*y + 1530. Let h = -2 - -8. What is the remainder when h is divided by l(-12)?
0
Let p = 469 - 444. Suppose -v = -2 - 8. What is the remainder when p is divided by v?
5
Let x(v) = 6*v**2 - 6*v - 5. Calculate the remainder when 18 is divided by x(-1).
4
Let t = -47 + 83. Calculate the remainder when t is divided by (-5536)/(-288) + (-4)/18.
17
Let s(a) = -a**3 + 23*a**2 - 2*a + 41. Let f be s(23). Let j(o) = 7*o**2 + 22*o + 3. Calculate the remainder when j(f) is divided by 23.
22
Let c(s) = -s**3 + 8*s**2 - 6*s + 5. Let j = -7 + 10. Calculate the remainder when c(j) is divided by 18.
14
Suppose -3*c - 860 = 76. Calculate the remainder when (17/((-340)/c))/((-2)/(-10)) is divided by 20.
18
Let s(v) = -41*v**2 - 36*v**2 + 3 + 3 - 2*v + 80*v**2. What is the remainder when s(5) is divided by 9?
8
Let r(d) = d**2 + 23*d - 5. Let a be r(-18). Let k = 202 + a. What is the remainder when k is divided by 9?
8
Suppose 0 = -4*p - 4*s + 20 + 12, 0 = -4*s + 8. Suppose p*m - 45 = 9. Calculate the remainder when 44 is divided by m.
8
Suppose -5*h + 26 = a - 0*h, -5*h = -4*a + 4. Suppose 39 = a*p - 21. Calculate the remainder when p is divided by 3.
1
Let c(i) = 61*i**3 - 2*i**2 - i + 1. What is the remainder when c(1) is divided by 792/(-126)*(-7)/2?
15
What is the remainder when 115 is divided by 1/((12/9)/4) - -22?
15
Let z = 1458 + -1433. Suppose 5*c - c - 12 = 0. Suppose c*j + 16 = -j, -3*x - j = -137. What is the remainder when x is divided by z?
22
Let n be (-16)/(-6)*(-4 - 22/(-4)). Let g(a) = 15*a - 22. Calculate the remainder when g(n) is divided by 13.
12
What is the remainder when (51 + -14)/((-1)/(-4)) is divided by 45?
13
Calculate the remainder when 64 is divided by ((-9)/18)/(4/(-288)).
28
Let g be ((-18)/(-81))/(2/18). What is the remainder when 101 is divided by ((-7)/(21/90))/((-4)/g)?
11
Suppose 160*m + 5976 = 169*m. What is the remainder when m is divided by 35?
34
Let p = 394 + -351. What is the remainder when p is divided by 36?
7
Let k(j) = -j + 3. Let w be k(0). Suppose 99 = 2*o + w*f, o = -3*f + 67 - 22. Suppose p - 5*p = -76. Calculate the remainder when o is divided by p.
16
Let c = -9 + 15. Suppose -c*w + 248 = 2*w. What is the remainder when 61 is divided by w?
30
Suppose -2*m - 4 - 2 = t, -5*t + 3 = -m. Suppose 2*z + g + 3*g - 50 = t, -95 = -5*z - 4*g. What is the remainder when 116/(-1 + 4 + -1) is divided by z?
13
Let m(w) = 5*w - 1. Let k be m(-3). Let v = -7 - k. Calculate the remainder when (-2)/3 + (-450)/(-27) is divided by v.
7
Let x = 38 + -104. Let i = x + 116. What is the remainder when i is divided by 17?
16
Let i = 82 + -17. Calculate the remainder when 385 is divided by i.
60
Let l(a) = 365*a**2 + a + 1. Let r be l(-1). Let x = 207 - r. Let h = -101 - x. Calculate the remainder when h is divided by 15.
12
Suppose 3*r + r + 116 = 3*q, -4*q + 2*r + 158 = 0. Calculate the remainder when ((-24)/(-5))/(4/q) is divided by 7.
6
Let n = -1704 - -1722. What is the remainder when 661 is divided by n?
13
Let m(a) = -a**3 + 18*a**2 - 14*a - 23. Let l be m(17). Let x = l + -9. What is the remainder when (-4 - -115)*(-2)/(-6) is divided by x?
18
Suppose -y = -181 - 47. What is the remainder when y is divided by 23?
21
Calculate the remainder when (-77 - -76)/((-1)/32) is divided by 11.
10
Let t(f) = -3*f**3 - 16*f**2 + 17*f - 3. Let o(v) = v**3 + 8*v**2 - 9*v + 1. Let b(p) = -5*o(p) - 2*t(p). What is the remainder when 114 is divided by b(7)?
27
Let b(l) = 59*l - 37. Let v be b(5). Suppose 20*r - 14*r - v = 0. Calculate the remainder when 128 is divided by r.
42
What is the remainder when 166 is divided by (-6 + -39)/(-3) - 3/1?
10
Let u = 161 + 298. Calculate the remainder when u is divided by 111.
15
Let l = -738 + 817. Calculate the remainder when 298 is divided by l.
61
Suppose -2*v - 44 = -6*v. Suppose v + 10 = 3*j. Suppose -3*w + 63 = 3*h, -132 = -5*w - 3*h + j*h. What is the remainder when 69 is divided by w?
21
Let j = 68 - -85. What is the remainder when j is divided by 42?
27
Let f(o) = 291*o + 1765. Let z be (7*1)/(1/3). Let i = 113 - z. Calculate the remainder when i is divided by f(-6).
16
Suppose 3*a - 24 = 6*a. What is the remainder when 17 is divided by (-70)/a + (-4)/(-32)*2?
8
Suppose -11*o + 106 = -213. Ca