 8. Suppose u - 12 = r + r, -r = -2*u + 3. Let n be i(r). Suppose x = -4*x + n. Calculate the remainder when 50 is divided by x.
16
Let v = 69 - 21. What is the remainder when v is divided by 25?
23
Let m be 175/42 + (-2)/12. Let v be m*((-86)/4)/(-1). Suppose v = 2*n - 0. Calculate the remainder when n is divided by 15.
13
Let a(w) = w - 5. Let f be a(7). What is the remainder when 11 is divided by (-188)/(-60) - f/15?
2
Let z be 1 + 1 + -6 + 2. Let s be 2 - -3 - (z - -4). Suppose -s*l + 38 = 2*r, -l + 2*l - 2 = 2*r. Calculate the remainder when l is divided by 4.
2
Suppose -w + 4*q = -13, 4*w + 0*q - 67 = q. What is the remainder when w is divided by 7?
3
Suppose 4*f - 27 = -3*y + 25, -f - y = -12. Calculate the remainder when f is divided by 7.
2
Suppose -j = -4*a + 113, -5*a + j + 174 = 33. Calculate the remainder when 78 is divided by a.
22
Let b(p) = 6*p**2 - 2*p**3 - 5*p + p**3 + 0*p + 3. Let g be b(5). Let l = g - -2. Calculate the remainder when 14 is divided by l.
4
Let n = -16 - -27. Let i = -3 - -3. Suppose i = -9*s + 4*s - 25, 3*s = 4*x - 99. What is the remainder when x is divided by n?
10
Suppose 10 = 2*u + 2*f, -2*u + 5*f - 25 = -3*u. Suppose 2*l = -u*l + 40. What is the remainder when 38 is divided by l?
18
Let f = -106 + 234. What is the remainder when f is divided by 33?
29
Suppose -d + 49 = 2*k, d = -4*d + 25. Suppose 2*z - 94 = -k. Calculate the remainder when z is divided by 19.
17
Suppose 12 = a + 2*o, a - 7 = -4*o + 1. What is the remainder when a is divided by 6?
4
Suppose 2*l + 2*z - 15 = 3, 0 = -3*l - 2*z + 23. Calculate the remainder when 14 - (1 - (2 - 3)) is divided by l.
2
Let p be -1*(2 - 3/(-3)). What is the remainder when 53 is divided by p/(12/(-116)) - 2?
26
Let i be -3*(-4)/3*2. Calculate the remainder when 38 is divided by (2/(-3))/(i/(-156)).
12
Suppose 0*w + n + 14 = -3*w, 4*w + 5*n = -4. What is the remainder when 5/(-5) + 60/2 is divided by (50/15)/((-2)/w)?
9
Let m(d) = d**2 - d - 3. Let a be m(-6). Suppose 0 = 2*w + w - a. Suppose 0 = 4*z - z - 111. Calculate the remainder when z is divided by w.
11
Suppose 0 = -l - l + 6. Suppose 4*x + l = 11. Calculate the remainder when 2 is divided by x.
0
Calculate the remainder when 13 is divided by (2/(-3))/((-8)/48).
1
Let q(w) = -w**2 - 15*w + 4. Let x(p) = -9*p + 4. Let l be x(2). What is the remainder when 53 is divided by q(l)?
17
Let g(w) = 4*w**3 + 9*w**2 - 6*w + 9. Let f(i) = -9*i**3 - 19*i**2 + 13*i - 19. Let n(b) = 3*f(b) + 7*g(b). Calculate the remainder when n(-5) is divided by 12.
10
Let t(i) = 39*i - 39. What is the remainder when t(3) is divided by 40?
38
Suppose -4*u = 5*w - 111 + 29, -17 = -w - u. Calculate the remainder when 53 is divided by w.
11
Let m be 12/(-6 - -2) + 3. Suppose 5*d - 159 + 34 = m. Calculate the remainder when 47 is divided by d.
22
Let t(s) = -s**3 - 16*s**2 - 15*s + 11. Let i be t(-15). Suppose i - 41 = -5*q. What is the remainder when 11 is divided by q?
5
Let l(s) = -24*s**3 + 2*s**2 + s. What is the remainder when 123 is divided by l(-1)?
23
Suppose 289 = 2*i - 3*n - 19, 4*i - n = 626. Let a = i + -110. Let c = a - 10. Calculate the remainder when c is divided by 10.
7
Calculate the remainder when ((-250)/(-15))/(((-8)/84)/(-1)) is divided by 11.
10
Let x = 2 - -729. Let u = x + -511. Suppose 3*n + u = 8*n. Calculate the remainder when n is divided by 15.
14
Let m(u) be the third derivative of 7*u**4/24 + 4*u**2. Calculate the remainder when m(4) is divided by 15.
13
Suppose -2*q - 1 = -3*q, -4*g + 5*q = -339. Suppose 2*r = -4 + g. Calculate the remainder when r is divided by 14.
13
Let l(b) = b**3 - 5*b**2 - b + 7. Let y be l(5). Suppose -y*s - 3 + 55 = 0. Calculate the remainder when s is divided by 14.
12
Suppose 49 = 4*w - 0*w + g, 38 = 3*w + g. Calculate the remainder when 28 is divided by w.
6
Let q = 21 + -9. Suppose -3*g = -5*g - q. Let z = g - -14. Calculate the remainder when 23 is divided by z.
7
Suppose x - 74 = -0*x. Let l = -24 - -49. What is the remainder when x is divided by l?
24
Let s(h) = 2*h**2 + 5*h + 2. Let q be s(-3). Let g = q - -4. Calculate the remainder when 35 is divided by g.
8
Let n(b) = -b**3 - 7*b**2 - 11*b + 8. Let x be n(-8). Suppose x = d + 3*d. What is the remainder when d is divided by 21?
19
What is the remainder when ((-2)/6)/(9/(-486)) is divided by 4?
2
Suppose -2*v = 5*p + 160 - 853, 3*v - 697 = -5*p. Calculate the remainder when p is divided by 14.
11
Calculate the remainder when 33 is divided by ((-72)/(-30))/(1/5).
9
Suppose 5*u - 26 = 3*m - 7*m, -5*m + 39 = 3*u. What is the remainder when 26 is divided by m?
8
Suppose -5*l + 0*i + 268 = 4*i, -4*i + 164 = 3*l. Let p = -138 - -239. Suppose 0 = 5*t + 5*b - p + 11, -4*b = 0. Calculate the remainder when l is divided by t.
16
Let g be (-3 - (7 - 2))/(-2). Suppose 0*m - 2*s = g*m - 120, -4*m - 4*s + 112 = 0. Let w = m + -13. Calculate the remainder when w is divided by 5.
4
Let s = 78 - 38. Suppose q - s = -q. What is the remainder when q is divided by (-2)/(-3) + (-62)/(-6)?
9
Let x(d) = -d**2 - 7*d + 4. Let y be x(-6). Suppose 4*n + 17 = 81. What is the remainder when n is divided by 4/y + 56/10?
4
Suppose -4*f - 5*v = -75, 5*f + 8*v = 4*v + 87. Let n = -11 + f. What is the remainder when 11 is divided by n?
3
Suppose 17 + 0 = c. Let y = 86 + -36. Calculate the remainder when y is divided by c.
16
Let l(q) = q**3 + 5*q**2 - 8*q - 6. Let z be l(-6). Suppose 0 = -o - 2*o - z. What is the remainder when 43 is divided by (35/(-14))/(o/12)?
13
Let v(k) = 5*k - 33. Calculate the remainder when v(8) is divided by 4.
3
Suppose 0 = -l + 3 + 2. Let w(r) = r**2 + r - 16. Calculate the remainder when w(-6) is divided by l.
4
Let t be ((-6)/(-2))/((-6)/(-8)). Calculate the remainder when 79 is divided by ((-18)/t)/(2/(-12)).
25
Suppose 24 = 12*l - 8*l. Let n(k) be the first derivative of 3*k**2/2 - k + 1. Calculate the remainder when 65 is divided by n(l).
14
Let u be 4/(3*(-8)/(-132)). Suppose 62 = 5*c + u. What is the remainder when 372/16 - 1/4 is divided by c?
7
Suppose -85 = -5*n - 5*l, -6*n - 2*l + 62 = -2*n. Suppose 2*y - 66 = -f - 19, f - 4*y = 17. What is the remainder when f is divided by n?
9
Suppose -3*g - 15 = -3, 0 = 4*h - 5*g - 224. Calculate the remainder when h is divided by 9.
6
Let m be (-6)/(1 - 0/(-3)). Let x be ((-9)/2)/(m/64). Let l = 74 - x. What is the remainder when l is divided by 9?
8
Suppose z - 12 = -4*x, -4*z + z = -3*x + 24. Suppose 6*i - 123 = 3*i + 3*g, -x*g - 76 = -2*i. Calculate the remainder when i is divided by 15.
14
Suppose 1 = -5*i + 56. Suppose -64 = -4*a + 3*h, -3 = 5*a + 4*h - 83. Let c = a - i. What is the remainder when 9 is divided by c?
4
Let h = -6 - -6. Suppose -18 = -3*k - h*k. What is the remainder when 11 is divided by k?
5
Let m = 6 + -1. Let x = m + -10. Let c(f) = f**3 + 6*f**2 + 4*f - 3. What is the remainder when 4 is divided by c(x)?
0
Suppose -4*f - 110 = -6. Let s = -70 + 106. Let l = f + s. What is the remainder when 28 is divided by l?
8
Let b = 9 - -3. Suppose -3*s = 3*y - 12, y = -2*y + 3. Suppose g - b = s*l + 4, 5*g - 93 = 2*l. What is the remainder when g is divided by 7?
5
Suppose 2*g + 2*g = 20. Let o = 8 - g. What is the remainder when (7/(-3))/(1/(-3)) is divided by o?
1
Let k(l) = 15*l**2 + 1. Let u(p) = p**3 + 3 - 2*p**3 - 4 + 6*p**2. Let a be u(6). Calculate the remainder when 30 is divided by k(a).
14
Suppose -3*a = 5*u - 2 - 4, a - 2 = 5*u. Suppose u = -2*m - m + 12. Let w(c) = c**3 - 2*c**2 - 3. Calculate the remainder when w(3) is divided by m.
2
Let v(r) = -r**3 - 8*r**2 - 2*r - 11. Let w be v(-8). Suppose 0 = -w*h - 5*s, -3*s - 24 = -10*h + 5*h. Calculate the remainder when 5 is divided by h.
2
Let f be 7/3 + 8/(-24). Suppose -f*i - 2*x = 3*i - 114, -4*i + 2*x + 84 = 0. What is the remainder when i is divided by 8?
6
Suppose 0 = -5*a + 33 + 37. Calculate the remainder when a is divided by 4.
2
Let k = -13 + 18. Let j = k + -1. What is the remainder when 7 is divided by j?
3
Suppose -5*p = -o + 2*o - 35, -2*p + 3*o = 3. Let h(j) = 3*j + 3 + 4 - p + j**2. What is the remainder when 2 is divided by h(-3)?
0
Suppose -4*r + 133 = 3*r. Calculate the remainder when r is divided by 6.
1
Suppose -2*f + 2 = 3*t, 3*f + t - 3 = 3*t. Calculate the remainder when ((-4)