is the remainder when 31 is divided by a?
9
Suppose 0 = 4*g + 3*g - 7. Let p = 24 - 8. Let t = p + g. What is the remainder when t is divided by 6?
5
Let o = 250 - 152. What is the remainder when o is divided by 33?
32
Let c = -9 + 6. Let g(a) = a**3 - 4*a**2 + 3*a + 1. Calculate the remainder when g(4) is divided by (-58)/(-8) - c/(-12).
6
Suppose t = 4*p - 66, 2*p + 56 = 5*p - 4*t. Calculate the remainder when 70 is divided by p.
6
Suppose d = 6*d - 20. Let h = d - 4. Suppose -2*j - 2*n + 6*n + 24 = h, -32 = -3*j + 4*n. Calculate the remainder when 23 is divided by j.
7
Let v be -9*(2 + 8/(-6)). Let n = v + 16. What is the remainder when 18 is divided by n?
8
Suppose -93 = -5*r + 27. Calculate the remainder when 45 is divided by r.
21
Let t(o) = o**3 + 6*o**2 - o - 2. Suppose 0 = n, -4*n - 5 = 2*q + 7. Calculate the remainder when 6 is divided by t(q).
2
Let n = 44 + -25. Calculate the remainder when n is divided by ((-8)/(-6))/((-2)/(-15)).
9
Calculate the remainder when 80 + 7 + -3 + -2 is divided by 42.
40
Let m = -86 - -107. What is the remainder when 40 is divided by m?
19
What is the remainder when 127 is divided by 32 + 3 + -3 + 0?
31
Suppose -2*n = -2*j - 30, n + 4*j - 15 = -0. Calculate the remainder when n is divided by 6.
3
Let g = 38 - 17. What is the remainder when g is divided by 8?
5
Calculate the remainder when -5 + (-58 - -5)*-2 is divided by 35.
31
Let h = 1 - 1. Suppose 0*g - 3*g + 54 = h. Suppose 0 = -5*p + 2*w + 129 + g, 2*p - 66 = -w. Calculate the remainder when p is divided by 11.
9
Let g be ((-4)/(-6))/(1/(-6)). Let m be 15/(-10) + (-10)/g. What is the remainder when ((-18)/15)/(m/(-15)) is divided by 10?
8
Let k(j) be the second derivative of 0 + 3*j + 1/3*j**3 - 3/2*j**2 - 1/12*j**4 + 1/20*j**5. What is the remainder when 17 is divided by k(2)?
2
Suppose 151 + 70 = 5*k + 2*u, -184 = -4*k - 4*u. What is the remainder when k is divided by 16?
11
Let v(k) = -k**3 - 3*k**2 - 2. Let m be v(-3). Let f = 20 - m. Let z = 1052 + -967. Calculate the remainder when z is divided by f.
19
Suppose -3*y - 58 = -k - 41, -51 = -3*k - 3*y. Suppose -5*c - 2*u + 14 + 15 = 0, 4*c - u - 18 = 0. Calculate the remainder when k is divided by c.
2
Let k = 11 - 4. What is the remainder when 11 is divided by k?
4
Let t(o) = -3*o. Suppose 2 = 2*u - 2. Suppose 0 = d - 2*a - 19, -u*a = 4*d - 4*a - 70. Calculate the remainder when d is divided by t(-3).
8
What is the remainder when (1 - (1 + 15))*2/(-3) is divided by 2?
0
Let u = 219 + -111. What is the remainder when u is divided by 37?
34
Let x(h) = -h - 4. Suppose 2*a - w - 2 = 6, -12 = -3*a - w. Let d be x(a). Calculate the remainder when (-55)/(-2)*d/(-10) is divided by 6.
4
Let g(w) be the first derivative of 0*w + 1 + 2*w**3 - 3*w + 5*w. What is the remainder when g(2) is divided by 9?
8
Suppose 2*n - 5*n = 24. Let i be (13 + -2)*(0 + 1). Let t = n + i. What is the remainder when t is divided by 1?
0
Let x be 28/(-6) - (-2)/3. Let q = x + 14. What is the remainder when 2 + (-1 + 2)*26 is divided by q?
8
Suppose 30 = -0*d + 2*d. Calculate the remainder when 88 is divided by d.
13
Let a be (-1)/(-8) + 78/16. Suppose 0 = 4*d + a*y, -3*y + 7*y + 31 = 3*d. Calculate the remainder when 8 is divided by d.
3
Suppose -2*a + 2 = -3*d - 0*d, a = 3*d - 5. Calculate the remainder when 26 is divided by a.
5
Suppose -2*d - 96 = 2*v - 7*v, -d = -3*v + 57. Let b = -6 + 13. What is the remainder when v is divided by b?
4
Suppose 79 = 4*b + 4*h + 31, -h + 28 = 2*b. Calculate the remainder when 61 is divided by b.
13
What is the remainder when 85 is divided by (1/((-21)/24))/(6/(-42))?
5
Let o be ((-4)/(-6))/(2/(-60)). Calculate the remainder when 23 is divided by ((-26)/(-10) - 3)*o.
7
Let f = -13 + 22. Let l(y) = y - 1. Let o(s) = s**2 + s. Let p be o(-3). What is the remainder when f is divided by l(p)?
4
Calculate the remainder when 85 is divided by 1*((-132)/(-6) - 0/(-2)).
19
Let a = 0 - -4. Suppose 0 = -a*p + z + 160, 0 = 4*z - z. Suppose -3*g + p = g. What is the remainder when g is divided by 6?
4
Suppose 0*b - 3 = 2*b + 3*d, 0 = 2*d + 6. Suppose 0 = 3*k - b - 9. Let l(q) = q**2 + 1. Calculate the remainder when k is divided by l(1).
0
Let g(v) = v**3 - 6*v**2 + 2*v - 8. Let d be g(6). Suppose -3*p = -f + 26, 6 - 40 = -d*f - 2*p. Calculate the remainder when 31 is divided by f.
9
Calculate the remainder when (-7)/21 + ((-410)/(-6) - -2) is divided by 18.
16
Let q = 39 - 26. What is the remainder when 50 is divided by q?
11
Let n(b) = -15*b + 4. Let l be n(4). Let p = l - -83. What is the remainder when p is divided by ((-4)/5)/(2/(-35))?
13
Let h = -27 - -53. What is the remainder when h is divided by 14?
12
Let d = 7 + 8. What is the remainder when 28 is divided by d?
13
Suppose 3*a = 5*a - 8. Let h = 5 + 0. Suppose -x = -5*l - 14, -a*l - 8 = -x - h*l. What is the remainder when 26 is divided by x?
8
Suppose 2*f - 7*f + 55 = 0. Suppose 3*p + 80 = 7*p. What is the remainder when p is divided by f?
9
Suppose -x = 2*x - 18. Calculate the remainder when x is divided by 5.
1
Suppose -35*l - 68 = -37*l. Calculate the remainder when l is divided by 7.
6
Calculate the remainder when 15 is divided by (-2)/(-8) - (-351)/52.
1
What is the remainder when 3 is divided by 75/25 - (2 - 1)?
1
Let i(m) = 87*m**3 - m + 2. Calculate the remainder when i(1) is divided by 45.
43
Let t = 2 + 3. What is the remainder when (-3)/(-12) - 150/(-8) is divided by 75/(-6)*(-4)/t?
9
Let f(y) = -y**3 - 6*y**2 + 8*y + 9. Let a be f(-7). Suppose 0 = 12*q - 11*q - 11. Let w = q - a. What is the remainder when 15 is divided by w?
6
Suppose -2*w - 3*f = -20, 4*f + 27 = -0*w + 5*w. Suppose 35 + w = 2*y. What is the remainder when 61 is divided by y?
19
Suppose 0 = 5*b + 31 - 101. Let p = b - -6. What is the remainder when 58 is divided by p?
18
Suppose 4 = -4*u + 16. Let m(r) = -2*r**3 - 7*r**2 - 6*r - 2. Let c be m(-4). Suppose -u*y + c = -y. What is the remainder when 55 is divided by y?
17
Let p(c) = -2*c + 11. Let o be p(-12). Suppose -w + o = 2*l + 11, 4*w = -3*l + 31. Suppose n = l - 0. What is the remainder when 25 is divided by n?
12
Suppose -52 = -4*l + 2*g - 5*g, 0 = 3*l - 4*g - 39. What is the remainder when 25 is divided by l?
12
Let v(h) = 2*h**2 - h - 3. Calculate the remainder when 51 is divided by v(-3).
15
Let y(x) = -26*x + 1. Let g be y(-1). Suppose 4*f - j = 127, -4*j + g = -3*f + 119. What is the remainder when f is divided by 11?
10
Suppose -5*s + 5*n + 89 = 14, 0 = -s + 2*n + 20. Suppose -8 = -2*y + 5*d, -3*d + 2 = -4. Calculate the remainder when (-4)/s - (-264)/10 is divided by y.
8
Suppose -4*y - 4*i + 72 = 0, -2*i - 64 = -4*y + 2. What is the remainder when y is divided by 4?
1
Let p(m) = 4*m**3 - 3*m**2 + m. What is the remainder when p(3) is divided by 43?
41
What is the remainder when 62 is divided by 448/24 - (-4)/(-6)?
8
Let u be (2/6)/(4/312). What is the remainder when 25 is divided by 1 + 0 - u/(-2)?
11
Let m = -10 + 31. Suppose 4*x + 223 = -57. Let b = 131 + x. What is the remainder when b is divided by m?
19
Suppose 0 = -2*v - 3*d - 12, -v - 6*d - 16 = -2*d. Suppose -g - 3 = 0, 80 = 5*h - 5*g - v*g. What is the remainder when 38 is divided by h?
12
Let p(i) = i**3 - 6*i**2 - 7*i. Let d be p(7). Suppose 2*o + 4*m - 14 = d, 0*o - 3*o + 2*m = -37. What is the remainder when 20 is divided by o?
9
Let l = -5 - -20. What is the remainder when l is divided by 28/3 - 1/3?
6
Let v = 0 + 26. Calculate the remainder when 2 - 5/((-10)/v) is divided by 8.
7
Let m = -25 - -46. What is the remainder when m is divided by 12?
9
Let x(y) = -4*y. Suppose 406 = -2*s + 9*s. Calculate the remainder when s is divided by x(-5).
18
Let o be 84/16 + 2/(-8). Let p(g) = g - 1. Let c be p(o). Suppose -3*l - l - 72 = -c*j, -5*l + 86 = 3*j. What is the remainder when j is divided by 12?
10
Suppose -104 = -5*d + 4*k + 932, -3*k = 5*d - 1043. Calculate the remainder when d/12 + (-1)/3 is divided by 5.
2
Let d = 100 + 97. Suppose -4*n = -8, k - 4*k + 2*n = -d. What is the remainder when k is divided by 17?
16
Let a be ((-1)/2)/(1/(-34)). Let h be a/(-5) - (-6)/15. Calculate the remainder when (-63)/h*(1 - 0) is divided by 11.
10
Suppose -6 = -4*z + 6. Let t be 0/(z - (-2)/(-2)). What is the remainder when 8 is divided by 3 + (t/