).
9
What is the remainder when 778/12 + 10/60 is divided by 33?
32
Suppose 3*t - 4*j = -t + 64, -56 = -4*t - 4*j. Let l be 2/(-3) - 425/t. Let q = l - -54. What is the remainder when q is divided by 13?
12
Let h(o) = 5*o - 5*o - o**2 - 10*o**3. Suppose 4*a + 27 + 2 = 5*f, -a - 6 = -f. What is the remainder when 16 is divided by h(a)?
7
Let r = 6 + 0. Calculate the remainder when r is divided by 2.
0
Let h = 13 - 11. Let p(o) = -5 + 5*o + 6 + h*o - o. Calculate the remainder when 49 is divided by p(2).
10
Let n = 153 + -88. Let k = 13 + -8. Suppose n = k*t - 0*t. What is the remainder when 37 is divided by t?
11
Let c = -28 + 49. Let v be 6/(-9)*6/(-4). Suppose -2*z + c + v = 0. What is the remainder when 20 is divided by z?
9
Let v(m) = -m - 9. Let c be v(-11). Suppose -c*s = -26 - 8. Calculate the remainder when 67 is divided by s.
16
Suppose -16 = -5*p + 2*s + 5, p + 6 = -3*s. Let a(d) = d + 1. What is the remainder when 10 is divided by a(p)?
2
Let k(s) = 7*s - 4. What is the remainder when 65 is divided by k(3)?
14
Let b(v) = v + 13. Let z be b(-9). Suppose -2*o - 3*f = -23, -25 = z*f - 9*f. Suppose -o*y - y = -170. What is the remainder when y is divided by 12?
10
Let n = -8 - -35. Calculate the remainder when n is divided by 11 + 3/(2 - 1).
13
Suppose -7 = -f + 3*a + 16, -2*a = -3*f + 55. Let t(g) = -g**2 + 18*g - 12. Let i = -21 - -36. Calculate the remainder when t(i) is divided by f.
16
Suppose -26*v - 122 = -27*v. What is the remainder when v is divided by 42?
38
Let t(c) = -9*c - 4. What is the remainder when 66 is divided by t(-3)?
20
Let j(y) = 2*y - 6. Suppose -i + 2*i = 5. Suppose i*x - 52 - 18 = 0. Calculate the remainder when x is divided by j(7).
6
Let i = 9 + -12. Suppose d - 22 = 25. Calculate the remainder when d is divided by i + (28 - 3/3).
23
Let w(u) = -3 + 5 + 3*u + 6 - 2 + 4*u**2. What is the remainder when w(-5) is divided by 31?
29
Let x(s) = -s**2 + 4*s + 24. Calculate the remainder when x(0) is divided by 14.
10
Suppose 4*w - 125 = 3*z, -130 = -4*w + 3*z - 5*z. Let s(t) = -t**3 + 3*t**2 + 2*t + 5. Calculate the remainder when w is divided by s(3).
10
Let t(c) = 4*c**2 - 5*c + 4. What is the remainder when t(3) is divided by 9?
7
Let m = 9 + -10. What is the remainder when 47/(1*(2 + m)) is divided by 24?
23
Let c be (-3)/(-2) + 8/16. Suppose -c*t - 4 = -4*t, 14 = y + 3*t. Calculate the remainder when 15 is divided by y.
7
Suppose 2*k - w - 98 = 0, k = 6*k - 5*w - 235. What is the remainder when k is divided by 14?
9
Suppose 3*h - 18 = 2*g, -33 = -5*h - 5*g + 22. Let t(p) = p**2 - 9*p - 13. Let s be t(12). Let w = s - h. What is the remainder when 29 is divided by w?
14
Suppose 3*r + 19 = 133. Calculate the remainder when r is divided by 21.
17
Suppose 0 = -4*u + 12, 3*u = -4*h + 2*u + 95. Let i(o) = o**2 + o - 4. Let b be i(-3). Calculate the remainder when h is divided by b/4 - 75/(-10).
7
What is the remainder when 30 is divided by 90/5 + 1 + -2?
13
Suppose 8 - 2 = 2*d. Suppose -5*g = -q + 8, 2*q = -d*q - 5*g + 190. Calculate the remainder when q is divided by 18.
15
Let z = -2 - -16. Suppose 2*j - 15 = 65. Calculate the remainder when j is divided by z.
12
Let k = -153 - -220. What is the remainder when k is divided by 14?
11
Let w = -23 - -38. Let j = w + -9. What is the remainder when 9 is divided by j?
3
Suppose -t + i + 7 = 0, t - 2 = -2*i + 2. Suppose 2*l - t = -0*l. Suppose l = r - 1. What is the remainder when 6 is divided by r?
2
Suppose -61 = -4*z + 43. Calculate the remainder when 103 is divided by z.
25
Let f = 4 - -1. Suppose -35 = f*o - 110. Suppose 4*p - 13 = o. Calculate the remainder when p is divided by 3.
1
Suppose -3*n = 6, 0*b - 2*n = -3*b + 16. Suppose 2*z = 8 + b. Calculate the remainder when (-1)/(1 - 18/17) is divided by z.
5
Let r = 30 + -14. Let n(u) = u**2 + u + 3. What is the remainder when n(6) is divided by r?
13
Let s = -6 - -8. Let i = 7 + s. What is the remainder when i is divided by 2/2*(5 - 0)?
4
Suppose -4*m + 69 = 5*g, 0 = 4*g - 2*g + 6. Let i = m + 28. Calculate the remainder when i is divided by 49/3 + (-4)/(-6).
15
Suppose -2*q + q = u, -u + 16 = -3*q. Suppose 0 = -3*s, 3*s = j + u*j. Let p = j - -9. Calculate the remainder when 17 is divided by p.
8
Suppose -5*a + 10 = -10. Suppose 0*v = -2*v + 2*u + 22, -5*u = 2*v - 15. What is the remainder when v is divided by a?
2
Let v(f) = 7*f**2 + 1. Calculate the remainder when v(-1) is divided by 5.
3
Suppose -3 = 3*i - 2*f, 5*i + 4 = 2*f + f. Suppose -2*p + i + 13 = 0. What is the remainder when p is divided by 3?
1
Let j(k) = k**3 + 7*k**2 + 5*k + 1. Let n = -9 - -9. Suppose 5*h + 2*v = 68, -4*v + 9 + 7 = n. Calculate the remainder when h is divided by j(-6).
5
Let y = 17 + -8. What is the remainder when y is divided by 6?
3
Let z(l) be the first derivative of -l**3/3 - 3*l**2 + 11*l - 2. Let b be z(-9). Let t = b - -26. Calculate the remainder when t is divided by 6.
4
Let p be (-1 - 1)*(-1)/2. Let m be -5 - 2 - (p - -1). Let g(l) = l**2 + 9*l + 5. Calculate the remainder when 14 is divided by g(m).
4
Suppose 14 - 50 = -4*r. Suppose 2*u = 5*h + 26, 5*u - 5 - 6 = -h. What is the remainder when r is divided by u?
0
Suppose -3*w = 12, 5*m + 0*m + w = 3101. Let p = m - -507. What is the remainder when p/20 + (-2)/5 is divided by 19?
18
Suppose 93 = 2*d + o, 0 = -4*d - o + 2*o + 201. What is the remainder when 97 is divided by d?
48
Let i = -2 + 40. Calculate the remainder when i is divided by 5.
3
Suppose 93 = 4*a - a. What is the remainder when 60 is divided by a?
29
Suppose 0 = 2*a - 5*a + 51. Let f(g) = g + 7. Let j be f(-10). What is the remainder when a is divided by -18*((-5)/(-2) + j)?
8
Suppose 3*d - 31 = -2*o + 24, 3*o + 3*d - 90 = 0. What is the remainder when 90 is divided by o?
20
Suppose 0*r = -4*r + 5*w + 57, -3*w - 68 = -5*r. Calculate the remainder when r is divided by 6.
1
Let m be -3*(5/(-3) + 0). Let k = 44 - 38. Let d = k + m. What is the remainder when 21 is divided by d?
10
What is the remainder when (5/10)/((-3)/(-78)) is divided by 6?
1
Suppose -3*l - 2*l = -5. Suppose 2*c = -l + 35. Calculate the remainder when 50 is divided by c.
16
Let x be (12/2)/(15/320). Let w be 4/(-18) - (-114)/27. Suppose w*k - x = -0*k. Calculate the remainder when k is divided by 11.
10
Suppose 10 = o - 1. Calculate the remainder when 32 is divided by o.
10
Let x be (-64)/(-28) - 2/7. Suppose 2*o + 14 = p, -3*p = -x*o + 4*o - 10. Let f = 7 - 3. What is the remainder when p is divided by f?
2
Let x(z) = -z**2 - 19*z - 23. Let c be x(-18). Let b = c - -16. What is the remainder when b is divided by 7?
4
Let i(p) = -p**3 - 7*p**2 - 8*p + 6. What is the remainder when i(-6) is divided by 4?
2
Let l be 32/14 + 8/(-28). Let p(s) = s**3 + 3*s - 2 + 3*s**2 - l*s - s - s. What is the remainder when p(-2) is divided by 3?
1
Calculate the remainder when ((-4)/3)/(12/(-90)) is divided by 6.
4
Let q be (-314)/(-4) + 2/4. Let x be ((-16)/4 + 5)*7. Suppose -a + 4*b + 7 = 0, 0 = -2*a - x*b + 2*b + q. Calculate the remainder when a is divided by 7.
6
Let h = -5 + 5. Suppose h = n - 3*n + 10. Suppose -n*k = -0*k - 285. What is the remainder when k is divided by 15?
12
Let t = 125 - 62. What is the remainder when t is divided by 11?
8
What is the remainder when 30 is divided by (4 - 8/1) + 15?
8
Suppose n = -4*n + 280. Let q(u) = -u**2 + 11*u - 9. What is the remainder when n is divided by q(7)?
18
Suppose -3*t + t + 8 = 0. Suppose -2*n - 5*d = 16 - 58, -4*n + 96 = t*d. Calculate the remainder when 50 is divided by n.
24
Suppose -2*a = 2*a - 20. Suppose a*o + 4*r - 169 = 0, -4*o + r = -3*o - 32. What is the remainder when 1*(o + -1 + 0) is divided by 17?
15
Let u(n) = n**3 - 2*n**2 - n + 2. What is the remainder when 19 is divided by u(3)?
3
Suppose 2*k - 2*z - 15 = 7, -k + 5 = 5*z. Calculate the remainder when 48 is divided by k.
8
Suppose 0 = -4*l - 2 + 6. Calculate the remainder when l/(-2)*-2*19 is divided by 5.
4
Suppose -5*u + 6 = -2*u, 247 = 5*i - 4*u. Calculate the remainder when i is divided by 18.
15
Let k(x) = -2*x + 27. Let o(c) = c**2. Let w be o(2). Suppose -2*h - 3*h = 4*u - 13, -2*u + w*h = 0. What is the remainder when u is divided by k(13)?
0
Let d(i) = i**3 + 3*i**2 + 2*i + 2. Let o be d(-2). Suppose -87 - 7 = -o*f. What 