at is the remainder when 3 + -3 + (3 - z) is divided by k?
24
Let n be ((-24)/30)/(2/(-10)). Suppose n = a + a. Suppose 6*u = u - 5, -a*w = 5*u - 7. What is the remainder when w is divided by 2?
0
Suppose -4*f - 6532 = 75620. Calculate the remainder when (f/(-16))/7 - 6/16 is divided by 37.
35
Let v = 14 + 23. What is the remainder when 142 is divided by v?
31
Suppose 5*z = z + 5*u + 167, 0 = -3*z - u + 111. Let r = 1622 - 1608. Calculate the remainder when z is divided by r.
10
Let m be (-9)/(-18) + 6/4. Suppose -w + m*w = 0. Suppose 43 = 3*t - 5*z, -z + w*z + 17 = t. Calculate the remainder when t is divided by 6.
4
Let x(z) be the third derivative of z**5/20 + 7*z**4/24 - 18*z**2. Calculate the remainder when x(-6) is divided by 17.
15
Let j be (-18)/6*(1 + -4). What is the remainder when 78 is divided by j/(3*(-3)/(-9))?
6
Suppose c - 21 + 8 = 0. Calculate the remainder when 51 is divided by c.
12
Suppose -3*c = 2*c - 70. Suppose -f = -55 + 18. Let s = f - c. What is the remainder when s is divided by 8?
7
Let h = 46 - 36. Calculate the remainder when -1 - -5 - (-23 - h) is divided by 19.
18
Suppose 0 = 5*v - 14*v. Suppose -9*r + 3*r + 282 = v. What is the remainder when 185 is divided by r?
44
Suppose -v - 6 = 3*j - 6*j, 0 = -4*v - j + 15. Suppose 0 = 2*a - a + v. What is the remainder when 90 is divided by 2 - a/(12/116)?
28
Let r(w) = 2*w**2 + 65*w + 55. Calculate the remainder when 160 is divided by r(-32).
22
Let b(c) = -5*c - 32 - c**3 - 2*c**2 + 38 + 7*c. What is the remainder when b(-5) is divided by 20?
11
Let p(x) = x**2 + 5*x - 343. Calculate the remainder when 354 is divided by p(-23).
70
Let o(x) = 8*x + 4. Let h be o(2). Calculate the remainder when 29 is divided by (h/(-24))/(1 - (-21)/(-18)).
4
Let l = 84 - 78. Calculate the remainder when 8 is divided by (-9)/(180/(-128)) - l/15.
2
Suppose -3*a - 2*l - 236 = 0, 2*a - a + 3*l = -88. Let b = -52 - a. Calculate the remainder when 45 is divided by b.
21
Suppose -15 = -2*a - 3*q, 4*a - 3*q - 2*q + 3 = 0. Suppose -x - 3*c = 4*x - 86, a*x - 72 = 5*c. Calculate the remainder when 93 is divided by x.
17
Suppose -169*d = -170*d + 6. What is the remainder when 18 is divided by d?
0
Suppose 3*k = n - 5, -3*n + k = n - 42. Let t be (4/(-6))/((-2)/6). Suppose 2*w = t*r + 28, 2*w + 2*r - 58 = -2*r. What is the remainder when w is divided by n?
8
Let f = 126 - 125. What is the remainder when 56 + (7 - (f + 3)) is divided by 9?
5
Let w = -381 - -902. Calculate the remainder when w is divided by 75.
71
Let h(n) = n**2 + 2*n + 2. Calculate the remainder when h(-4) is divided by 10/(-6)*(2 - 5).
0
Let k(d) = -d**3 - d**2 + d + 3. Let p be k(0). Suppose 895 = p*v + 2*v. Let n = v + -117. Calculate the remainder when n is divided by 13.
10
Let y = -134 + 194. Calculate the remainder when 119 is divided by y.
59
Let k(a) = 6*a**2 + 12*a + 53. What is the remainder when k(-6) is divided by 92?
13
Calculate the remainder when (-12)/1*(6 - 8) is divided by ((-26)/(-4))/((-4)/(-8)).
11
Let t(k) = -k**2 + 8*k - 1. Let q be t(-7). Let a = 175 + q. Calculate the remainder when a is divided by 18.
15
Suppose -v - 4*z + 28 = 0, -8 = -v - z + 17. Let i = 58 - v. Suppose -22 = -3*n + 6*m - m, 2*m = 4*n - i. What is the remainder when 26 is divided by n?
8
Suppose 2*b - 4*b + 64 = 0. Let j(t) = -t - 2. Let k be j(-4). Suppose -b = -i - k*x, -i + x = -2*i + 28. Calculate the remainder when i is divided by 9.
6
Let r(t) = 4*t. Let m be r(-2). Let i = 6 - m. Let a = i - 10. Calculate the remainder when 14 is divided by a.
2
Let p = 23 + -15. Suppose -14 = -4*z + 10. Calculate the remainder when z is divided by 6 - (p - (4 + 0)).
0
Suppose -2*l - 128 = 2*l. Let c = l + 45. What is the remainder when 37 is divided by c?
11
Let q(i) = 12*i**2 - 3*i - 4. Let v be q(-4). Suppose -4*h = -v + 60. Suppose 5*r + 25 = 0, 0 = -3*w + r + 41. Calculate the remainder when h is divided by w.
11
Suppose -28*c = -31*c + 6. Suppose -2*o + 280 = c*o. What is the remainder when o is divided by 18?
16
What is the remainder when 6 is divided by 105/27 + (-4 - 37/(-9))?
2
Let w(a) be the second derivative of 2*a**3/3 - 11*a**2/2 - 29*a. What is the remainder when w(6) is divided by 12/2 - (2 - 1)?
3
Suppose 4 = f, -f - 100 = -2*a - 0*f. What is the remainder when 151 is divided by a?
47
Let u be -8 - (-3 + 2) - -3. What is the remainder when (8 + -3)*(-124)/(-10) is divided by u - (-26 - (2 - 3))?
20
Suppose 0 = 147*o - 150*o + 156. Calculate the remainder when o is divided by 16.
4
Suppose -15*u + 156 = -14*u. Calculate the remainder when u is divided by 57.
42
Suppose -11*b + 322 = -63. What is the remainder when 242 is divided by b?
32
Let w = 219 + -201. What is the remainder when 161 is divided by w?
17
Suppose -3*a + 2*m - 260 = -308, -3*m = 3*a - 63. Calculate the remainder when 1122/9 - (-2)/(-3) is divided by a.
16
Let h be 2*-2*3/(-12). Let p be (-7)/14*(h + -7). Suppose c - 4 = p*i + 27, -c + 7 = 3*i. What is the remainder when 54 is divided by c?
16
Calculate the remainder when (74/3)/(30/45) is divided by 8.
5
Suppose 16*d - 1098 = -2*d. Calculate the remainder when d is divided by 36.
25
Let s = 65 + -62. Suppose -7*y + 2*y + 9 = 2*t, s*y = 3*t - 24. What is the remainder when t is divided by 6?
1
Suppose -31 = 4*a - 4*b - 923, b - 689 = -3*a. What is the remainder when a is divided by 5?
3
Let s(k) = 11*k - 27. Calculate the remainder when s(12) is divided by 6.
3
Let l = -116 + 142. Let n = 19 + -10. Calculate the remainder when l is divided by n.
8
Suppose -18*k = -60*k + 2730. Calculate the remainder when k is divided by (-1)/(-3) - 204/(-9).
19
Let p be 2785/(-35) - 9/21. Let b be (-204)/5*p/24. Suppose -c - 4*m + b = 3*c, 3*c - 122 = 2*m. What is the remainder when c is divided by 20?
18
Let j = 16 + -14. Suppose 2 = j*g, g - 6*g = a - 20. Let b = 18 - 10. What is the remainder when a is divided by b?
7
Calculate the remainder when (-1)/(-2)*(105 + -7) is divided by 44.
5
Let x be -2 - ((-54)/(-45))/(2/(-20)). What is the remainder when (540/(-50))/((-1)/x) is divided by 22?
20
Let o = -52 - -87. Suppose -1 = -x + 18. Calculate the remainder when o is divided by x.
16
Suppose 76 = 9*k - 203. What is the remainder when 119 is divided by k?
26
Suppose -1176 = -111*r + 99*r. What is the remainder when r is divided by 54?
44
Suppose -36 = r - 4*r. Suppose -3*a - 4*y = 0, -y - 2*y = 0. Let c = a - -3. Calculate the remainder when r is divided by c.
0
Let v = 109 - 115. Let n(k) = -k**2 + 1 - 5*k**2 - k**3 - k + 1. What is the remainder when n(v) is divided by 3?
2
Let g(t) = 5*t**2 + 15*t + 99. Let w(b) = 2*b**2 + 5*b + 33. Let q(m) = 3*g(m) - 8*w(m). What is the remainder when 16 is divided by q(8)?
7
Let h(t) = 2*t**2 + 2. Let l be 3/((-3)/4) - -1. Suppose 4 = 5*v - 21, -410 = -5*q - 3*v. What is the remainder when q is divided by h(l)?
19
Let p(r) be the first derivative of 31*r**3/3 + r**2/2 + 5. Let n = 0 + 1. Calculate the remainder when 93 is divided by p(n).
29
Suppose -5*v + 2*t + 136 = 0, -4*t + t + 69 = 3*v. Calculate the remainder when v is divided by (-4 + (14 + -3)/11)*-6.
8
Let c = 4 - 1. Suppose 3*h - 2*m - 26 = 0, -h - c*m = m - 4. Calculate the remainder when 16 is divided by h.
0
Let n be -1 + 1 + 56/(-8) + 0. What is the remainder when 82 is divided by n*1*(-36)/12?
19
Let c = 66 - -129. Calculate the remainder when 30 is divided by (-2)/16 + c/24.
6
Suppose 33 - 1 = i. What is the remainder when i is divided by 7?
4
Suppose -1 = 7*p - 8*p. Let n(j) = -2*j**3 - 7*j**2 - j + 7. Let f be n(-5). Calculate the remainder when -1*p/(-3)*f is divided by 10.
9
Let d(t) = -t**3 + 25*t**2 - 41*t - 103. Calculate the remainder when 42 is divided by d(23).
6
Suppose 2*i = -5*g + 913, g = 3*i + 20 + 166. Suppose -g = -5*w + o, 2*w = -w - 3*o + 99. Calculate the remainder when 107 is divided by w.
35
Let q(t) = -2*t**2 + 16*t + 10. Let o be q(11). Let x = 2 - o. What is the remainder when x is divided by 12?
10
Let j(z) = -19*z + 118. What is the remainder when j(0) is divided by 10?
8
Let y = -232 - -275. Suppose -p + 507 = 2*p. Calculate the remainder when p is divided by y.
40
Suppose -2*r - r = -3*v - 345, 3*r - 333 = -v. What is the remainder when r is divided by 24?
16
Let h = 50 - 5. Let q be (h/30)/