20*j + 172 - 72. What is the remainder when 11 is divided by j?
1
Suppose 0 = 5*y + 5*r - 85, 3*y + 65 = 7*y + 3*r. What is the remainder when -2*(4/y - (-1755)/(-42)) is divided by 28?
27
Let j be (-2 - -4)*9/6. Suppose j*h + 28 = s - 0*h, 5*s - 129 = 4*h. What is the remainder when s is divided by 13?
12
Let g(x) = 4*x**2 + 3*x + 2. Let t(a) = -a**2 - 7*a + 6. Let l be t(-9). Calculate the remainder when 132/9*l/(-8) is divided by g(-2).
10
Let j(l) = 6*l**2 + 19*l + 34. Let y(n) = n**2. Let s(a) = -j(a) + 5*y(a). What is the remainder when 54 is divided by s(-16)?
12
Suppose -2*b - 2 = -3*b. Calculate the remainder when 46/((18 - 6)/6) is divided by b.
1
Let b(y) = -18*y + 1. Suppose 4*k - h - 78 = 0, 3*k + 21*h = 17*h + 49. Calculate the remainder when b(-4) is divided by k.
16
Let z = 104 - 96. What is the remainder when z is divided by 8?
0
Let r = 49 - 28. Let t(d) = d**2 + 5*d + 2. Let c be t(-5). Calculate the remainder when 1*(c - 1)*83 is divided by r.
20
Suppose 45 = 5*z - 5*n, -2 = 2*z + 5*n - 3*n. Suppose 0 = 3*o - s - 3*s - 91, -s = z. Suppose -22 = -2*m - 8. What is the remainder when o is divided by m?
4
Let l(o) = -o**3 - 23*o**2 + o + 24. Let r be l(-23). Calculate the remainder when 51 is divided by (r + -2)*(0 - 0) + 18.
15
Suppose -2*s + 13 = -5*n, 0 = -n - 3*n - 4*s + 12. Let q(t) = -22*t - 1. What is the remainder when q(-3) is divided by (0 + n)*51/(-3)?
14
Let p(t) = -t**2 + 4*t + 5. Let s = 14 - 10. Let n be p(s). Suppose n*u - 232 = u. Calculate the remainder when u is divided by 20.
18
Suppose 0 = -2*k - 4*a - 0*a + 6, -5*k + 5*a = -45. What is the remainder when 348 is divided by k?
5
Let v = 35 - 33. Suppose 0 = 5*o - v*t - 2*t - 6, -t - 1 = -o. What is the remainder when o/3 + 7682/69 is divided by 23?
20
Let w(r) = -r**2 - 6*r - 3. Let g be w(-8). Let l = g + 22. Suppose -8*f + 440 = -l*f. What is the remainder when f is divided by 23?
19
Suppose -3*h = 2*h + 50. Let s be 12/(-10)*h/4. Suppose -s*d + 17 = b, d = 6*b - 2*b + 23. What is the remainder when 27 is divided by d?
6
Suppose -13*j = 5*j - 15966. What is the remainder when j is divided by 89?
86
Let z = 135 - 128. What is the remainder when 82 is divided by z?
5
Suppose 0 = 27*v + 30*v - 855. Let i = 71 + -28. What is the remainder when i is divided by v?
13
Suppose 3*o - 96 = -3*a, -5*a + o + 65 = -95. Calculate the remainder when 126 is divided by a.
30
What is the remainder when (-23)/((-23)/330) + -3 is divided by 66?
63
Let p(m) = -3*m**2 + 1. Let a be p(1). Calculate the remainder when 29 is divided by (a/(-4) + 0)*16.
5
Let r(z) = 2*z**2. Let o be r(1). Suppose 0 = 5*u, -o*c - 5*u = -c - 32. What is the remainder when c is divided by 18?
14
Suppose 9 = 4*a - 3. Calculate the remainder when 62 is divided by (2/(-1))/(a/(-51)).
28
Let f(w) = w**2 + 20*w + 102. Let v(s) = -s + 15. Calculate the remainder when f(-16) is divided by v(7).
6
Let v = 198 + -93. Let h = 137 - v. What is the remainder when h is divided by 5?
2
Suppose 0 = 5*u + 58 + 37. Let p = u - -34. Suppose 0 = 4*x + 5*n - 61 + p, 0 = -5*n + 10. Calculate the remainder when 16 is divided by x.
7
Let r(b) = b**3 - 14*b**2 + 13*b. Let x be r(13). Suppose u + 129 = -x*i + 3*i, -215 = -5*i - 2*u. What is the remainder when 170 is divided by i?
41
Suppose 0 = 4*j - 20, -f - f = j - 777. Calculate the remainder when f is divided by 43.
42
Let w = -49 - -81. Let s = -22 + w. What is the remainder when s is divided by 6?
4
Let j = -1091 - -1097. Let z(l) = -20*l + 1. What is the remainder when z(-1) is divided by j?
3
Let a(k) = 3*k + 1. Let m be a(-1). Let f = m - -34. Let n(i) = i**3 - 14*i**2 + 6*i - 21. What is the remainder when n(14) is divided by f?
31
Suppose 4*a + 5*j - 164 = 0, 82 = 2*a - 0*a + 4*j. What is the remainder when a is divided by 2/(-4)*-28 - 3?
8
Let s(r) = -5*r - 1. Let n(j) = j**3 - j**2 - 6*j + 5. Let w be n(3). Suppose 8*m - w = 7*m. Calculate the remainder when s(-3) is divided by m.
4
Suppose -6*i + 525 = 9*i. Calculate the remainder when 277 is divided by i.
32
Let y(u) = -4*u + 2*u - u**2 + 4*u + 16. What is the remainder when 43 is divided by y(0)?
11
Let l = 23 + -16. Suppose 0*x = -x + 55. Suppose 0 = 3*v + 2*v - x. What is the remainder when v is divided by l?
4
Suppose 27 = -4*s - f, -4*s + 3*f + 10 = 41. What is the remainder when 66 is divided by (7/2)/(s/(-28))?
10
Let o(u) = -2*u**3 - u**2 + 6 + 4 + 4*u**3 - 3*u**3 + u. Calculate the remainder when 18 is divided by o(0).
8
Suppose b - 4*b - 6 = 0. Calculate the remainder when -14*(45/(-6) + b) is divided by 45.
43
Calculate the remainder when 92 is divided by 1 - (6 + -4) - -32.
30
Suppose -116 - 3 = -f. What is the remainder when f is divided by 33?
20
Let i = 8 + 2. Suppose -i*k = -9*k - 5. What is the remainder when 43 is divided by k?
3
What is the remainder when (-48)/(-30) - 2 - 752/(-5) is divided by 18?
6
Let k(r) = 3*r**2 + r + 2. Let v(u) = u**2 + 7*u + 3. Let n be v(-6). Let i be k(n). Calculate the remainder when i + (1 + 15)/(-4) is divided by 6.
4
Let q(c) = c**2 - 3*c - 5. Suppose 3*g - 35 = 4*a, -5*a + 26 = 3*g + g. What is the remainder when q(g) is divided by 17?
15
Let p be (-1 + 1 + 1)/((-30)/90). Calculate the remainder when (-12)/18 - 137/p is divided by 25.
20
Let n = 53 - 32. Suppose 0 = -y + 36 + n. What is the remainder when y is divided by 12?
9
Suppose 0*u - u + 349 = 3*k, -726 = -2*u + k. Suppose -911 = -8*b + u. What is the remainder when b is divided by 32?
31
Let n(y) = y**3 - 8*y**2 + 9*y - 3. Let k be n(7). Let c(m) = -m**2 + 14*m - 10. Let l be c(k). Let s = 35 - l. What is the remainder when s is divided by 7?
5
Let m be (1*-2)/((-14)/238). Let j = 53 - m. What is the remainder when j is divided by 6?
1
Let w = 63 - 91. Suppose -a + x = 50, 3 = 3*x - 3. Let l = w - a. Calculate the remainder when l is divided by 11.
9
Suppose -26 = -6*y + 4. Suppose -y*x + 29 = -4*x. Calculate the remainder when x is divided by 5/(4 - (-14)/(-4)).
9
Let m = 328 + -314. Calculate the remainder when (-97)/((6/(-2))/3) is divided by m.
13
Suppose 151*y - 101*y - 16700 = 0. Calculate the remainder when y is divided by 14.
12
Let y be 6*(16/3)/4. Let z be y/(-52) - (-200)/(-52). Let n = z - -12. What is the remainder when n is divided by 5?
3
Let t(y) = 28*y - 1. Let l be t(1). Let p = l - -24. What is the remainder when p is divided by 9?
6
Let f(w) = 3 + w - 4*w**2 - 3*w**2 - 5*w. Let j be f(2). What is the remainder when 49 is divided by (104/6)/((-22)/j)?
23
What is the remainder when 81 is divided by ((-50)/6)/(144/(-27) - -5)?
6
Let f(v) = 12*v - 13. Suppose q = -2*o + 10, -2 + 14 = 3*q - 3*o. Let i(m) = -4*m - 33. What is the remainder when f(q) is divided by i(-12)?
14
Suppose 3*x + 2*c = 73, 2*c - 38 = -3*x + 7*c. What is the remainder when 166 is divided by x?
19
Let p(m) = -m**2 - 39*m - 283. Calculate the remainder when p(-27) is divided by 21.
20
Let r(l) = 8*l + 11. Suppose 5*j + 25 = 65. Let d be r(j). Suppose -2*q = 6, -3*a + 0*q - 2*q + d = 0. Calculate the remainder when a is divided by 15.
12
Calculate the remainder when (-52 + 2)/((-44)/12 + 3) is divided by 10.
5
Suppose -5*r = 4*g - 3501, -38*r - 1752 = -2*g - 40*r. Calculate the remainder when g is divided by 44.
43
Let c(d) = -d**3 - 4*d**2 + 8*d + 2. Suppose -4*a + 16 = -0*a, -3*v + 5*a = 38. Let p = 306 - 230. What is the remainder when p is divided by c(v)?
24
Let n = 29 - -3. Let s = n - -5. Suppose 4*h - 50 = -h. Calculate the remainder when s is divided by h.
7
Let s be 2*(1 - -2 - -1). Suppose 7*i - s*i + 53 = 0. Calculate the remainder when i is divided by 20.
13
Let k = -526 + 538. What is the remainder when 179 is divided by k?
11
Suppose 4*h = z - 4, 2*h + 5*z = 7*z - 2. Calculate the remainder when 17/(h/(55/(-5))) is divided by 27.
25
Suppose -53*k = -58*k + 1070. Calculate the remainder when k is divided by 36.
34
Let i = 13 + 20. Suppose -h - 3*h = -5*f - 61, 4*f = -20. What is the remainder when i is divided by h?
6
Let a(m) = -m**3 - 5*m**2 + 1. Let x be a(-5). Let z(j) = 4 + 19*j**2 - 8*j**2 - 3 - j. Calculate the remainder when 20 is divided by z(x).
9
Let k be 3 - (-1)/((-2)/2). Suppose 74 = k*y - 8. What is the remainder when y is divided by -1*(-2 - 0)*7?
13
Let r = 20 + -16. Suppose -5*f -