11
Let c be 3 + (1 - -2 - 12). Let j = -2 - c. Suppose -46 = 2*n - j*n. What is the remainder when n is divided by 8?
7
Let d(l) = l**2 - 25*l + 30. What is the remainder when 356 is divided by d(0)?
26
What is the remainder when (-27162)/(-216) + (-3)/(-12) is divided by 55?
16
What is the remainder when 144/2 + 520/65 is divided by 24?
8
Let q(r) = 7*r**2 - 10*r + 4. Let a be q(3). What is the remainder when 121 is divided by (7 - (-6)/(-2)) + a?
39
Let l(o) = -3*o**2 - 33*o + 67. Calculate the remainder when 157 is divided by l(-11).
23
Suppose 9 = 3*s - 3. Let y be -1*s/6*-6. Suppose 0 = -y*l + 6 + 18. Calculate the remainder when 15 is divided by l.
3
Let w = 2 + 59. Suppose 23 = -4*f - 29. Calculate the remainder when w is divided by (-2 - -1)*(f - -16) + 24.
19
Suppose 9*w + 678 - 921 = 0. What is the remainder when w is divided by 12?
3
Suppose 0 = -i + 3, -p + 99 = -0*p - i. Calculate the remainder when p is divided by 13.
11
Suppose 0 = -5*f + 691 - 56. What is the remainder when f is divided by 2 + 339/11 - 6/(-33)?
28
Suppose -2*z + 178 = 2*f, 2*f + 86 = 4*z - 240. What is the remainder when z is divided by 4?
0
Let j = -67 - -94. Calculate the remainder when ((-142)/3)/((-18)/j) is divided by 18.
17
Let a(p) = p**3 + 30*p**2 + 56*p - 15. Let z be a(-28). Let g be ((-2)/(4/(-62)))/1. Let y = z + g. What is the remainder when 61 is divided by y?
13
Suppose -k + 1 = -4. Suppose -5*g - k = 3*r, -4*g - 7 + 0 = 3*r. Suppose g*y = -0*y + 52. Calculate the remainder when y is divided by 14.
12
Let c(x) = 258*x - 91. Calculate the remainder when c(1) is divided by 44.
35
Suppose -2*s - l - 61 = -4*l, -12 = -4*l. Let p = s - -48. What is the remainder when 42 is divided by p?
20
Let v = 152 - 89. Suppose -2 = -y + 20. What is the remainder when v is divided by y?
19
Let n(m) = -m**2 + 13*m - 22. What is the remainder when 23 is divided by n(10)?
7
Let y(l) = -l**2 - 7*l + 15. Calculate the remainder when 52 is divided by y(-7).
7
Let d be ((-11)/2)/((-12)/(-24)). Calculate the remainder when 10 is divided by (-2)/(-6) + d/(-3).
2
Let b be 3 + -2 + 1 + 1. Suppose -n - x + b = -2, 12 = -4*x. Let d = 14 - n. What is the remainder when d is divided by 3?
0
Let g(t) = -t**3 - 2*t**2 + 5*t + 1. Let a be g(-4). Let b = 18 - a. Suppose -i + b*c - c = -26, 4*i - c = 89. Calculate the remainder when i is divided by 12.
10
Let f = 200 + -197. What is the remainder when 3 is divided by f?
0
Suppose 2*r + 3*b + 78 = 220, r + b - 72 = 0. Calculate the remainder when r is divided by 43.
31
Let g = 31 + -11. Suppose 82 = -5*j + 12. Let u = j - -52. Calculate the remainder when u is divided by g.
18
Suppose -1 = r - 6. Suppose 0 = t - r*t + 24. Suppose -i + t*i = -3*f + 87, 21 = i - 3*f. Calculate the remainder when 51 is divided by i.
15
Suppose 0 = -44*s + 2978 + 2346. What is the remainder when s is divided by 112?
9
Let t = -593 - -628. What is the remainder when 138 is divided by t?
33
Suppose 3*j - 7 = 5. Suppose 4*r - 18 = 18. What is the remainder when 0 - (-68)/j*1 is divided by r?
8
Calculate the remainder when (133 - 107) + 8 + -1 is divided by 18.
15
Let d be 2/9 - (-4090)/(-18). Let m = 18 - d. What is the remainder when m is divided by 41?
40
Let m = -37 + 12. Let z = m + 35. Calculate the remainder when z is divided by 4.
2
Suppose 5*j = 4*j - 20. Let q be j*3/(-36)*3. Suppose 0*i - q*r + 77 = 3*i, i - 5*r + 1 = 0. Calculate the remainder when i is divided by 7.
5
Let q be 2/4 + (-11)/(-2). Suppose -q*l - 30 = -11*l. Calculate the remainder when 27 is divided by l.
3
Let n(r) = r**2 - 34*r + 40. What is the remainder when 229 is divided by n(33)?
5
Let x = 9333 + -6031. Let z be x/91 - (-2)/(-7). Let n = z - 21. What is the remainder when 44 is divided by n?
14
Let t(n) = -n**3 + n**2 + 5*n - 3. Let g be t(-3). What is the remainder when 44 is divided by (-3 + g/4)*10?
14
Suppose -4*d = -0*d + 2*a - 14, -4*a = -d - 19. Suppose 5*h - 21 + d = 0. Let v(q) = q**2 + 4*q - 2. Calculate the remainder when v(-6) is divided by h.
2
Let x(a) = -a**2 + 10*a + 159. What is the remainder when 146 is divided by x(-7)?
26
Let f(q) = 2*q - 12. Let j be f(11). Let o = -2 + j. Let p = o - -7. Calculate the remainder when 59 is divided by p.
14
Let p(d) = d**2 - 9*d + 5. Suppose -11*u + 190 = -206. What is the remainder when u is divided by p(9)?
1
Let s be (135/(-6))/(15/(-20)*1). Suppose s = 4*t - 5*q, -2*t + 6*t - 42 = -q. What is the remainder when 27 is divided by t?
7
Let z(w) = -67*w + 622. Calculate the remainder when 89 is divided by z(9).
13
Let y(a) = a**3 + 6*a**2 - 3*a + 2. Calculate the remainder when y(-5) is divided by (-7)/(28/(-104)) + -2.
18
Suppose 7*w - 148 = 524. What is the remainder when w is divided by 34?
28
Let c = -8 + 34. Let v(g) = -5*g - 27. Let o be v(-6). Suppose 3*y - 33 = -o*m, 5*m + 29 = 6*m - 5*y. What is the remainder when c is divided by m?
12
Suppose 0*r = -3*r - 3. Let i = r + 3. Suppose -4*c - 4 = 0, -i = -v - 4*c - 4. What is the remainder when v is divided by 2?
0
Let d(g) = 10*g - 15. Calculate the remainder when d(8) is divided by 54.
11
Let t(k) be the first derivative of k**3/3 - 6*k**2 + 8*k - 114. Suppose 0 = -3*u - b + 39, -b = -5*b. Calculate the remainder when 40 is divided by t(u).
19
Let n = -156 - -272. What is the remainder when n is divided by 9*((-3)/(-9) - -4)?
38
Let g(d) = -9*d - 47. Let f be g(-10). Let n = f + -10. What is the remainder when n is divided by 19?
14
Let i = 27 - 5. Let r(u) = -6*u**3 - 2*u**2 + 2. Calculate the remainder when r(-2) is divided by i.
20
Let h be -2*(3 + 2) + 1 + -4. What is the remainder when ((-2)/4)/(h/650) is divided by 13?
12
Let i(k) be the first derivative of -k**4/4 + 4*k**3 - 5*k**2 - 5*k + 2. Let v be i(11). What is the remainder when 14 is divided by (v - -1) + -6 + 4?
4
Let y be (-2070)/(-42) + 4/(-14). Suppose 0 = 3*h - x - y, 3*x + 0*x + 11 = h. What is the remainder when h is divided by 7?
3
Let d be (1 + -28)*(-24)/9. Suppose -d = -5*a + 28. What is the remainder when 19 is divided by (a/(-6) + 1)*-3?
5
Suppose -4724 + 4776 = 2*m. Calculate the remainder when 386 is divided by m.
22
Suppose -3 = 2*b + b, -104 = -3*o - 4*b. Let h = o + -16. Let t = -18 + 29. Calculate the remainder when h is divided by t.
9
Let d(n) = -n**3 + 9 + n**2 + 16*n - 17*n**2 - n**3 + n**3. What is the remainder when d(-17) is divided by 14?
12
Suppose -2*i = -3*i + 6. Suppose -3*u = -39 - 21. Calculate the remainder when (176 - -1)*2/i is divided by u.
19
Suppose 4*c - 1267 = -3*c. What is the remainder when c is divided by 13?
12
Let t(a) = -a**3 + 13*a**2 - a + 17. Let o be t(13). Suppose -k - 26 = -3*v, o*v + 2*k = 50 - 2. Calculate the remainder when 17 is divided by v.
7
Let s(j) = -11*j + 11. Let p(w) = -11*w + 12. Let b(l) = 4*p(l) - 5*s(l). What is the remainder when 190 is divided by b(5)?
46
Let y(z) = -z + 3. Let q be y(0). Suppose -q*f + 104 = 5*b, 0*f + 4*f - 154 = b. Let p = f + -7. What is the remainder when p is divided by 17?
14
Let w(o) = 5 - 7 - o**2 - 2*o - 2. Let h be w(0). Calculate the remainder when (-1 + 58/h)*-4 is divided by 21.
20
Let d = 15 + -10. Suppose -q + 5*q = -d*c + 25, q - 4*c + 20 = 0. Suppose q = 5*y - 5*w - 5, -4*w = y - 20 + 4. What is the remainder when y is divided by 3?
1
Let g(m) = -7*m - 9. Let j(n) = 8*n + 9. Let o = 7 + -14. Let x(r) = o*g(r) - 6*j(r). What is the remainder when 8 is divided by x(-6)?
2
Let b = -82 + 178. Suppose -3*l + b = -3*f, l - 3*l + 76 = 2*f. Let r = l - 3. Calculate the remainder when r is divided by 17.
15
Suppose -8934*y = -8929*y - 425. What is the remainder when 509 is divided by y?
84
Let g = 381 + -97. Calculate the remainder when g is divided by 48.
44
Let y(b) = -10*b**3 - b**2 - 2*b - 1. Let i = 8 - -2. Let g be (-12)/i + 15/75. Calculate the remainder when 26 is divided by y(g).
6
Suppose 5*b - q - 215 = 0, 0*q - 117 = -3*b + 3*q. Calculate the remainder when ((-4)/(-10))/((-1 - 6)/(-1470)) is divided by b.
40
Calculate the remainder when (-116)/(-6)*((-1050)/28)/(-25) is divided by 4.
1
Suppose -4 = -l + m + 1, 4*m = 3*l - 15. Suppose l = -5*x + 20. Calculate the remainder when 23 is divided by 24*x*2/12.
11
Let i(w) = -2*w**2 - 9*w - 1. Calculate the remainder when 11 is divided by i(-4).
