 the remainder when 1*-30*n - -1 is divided by 16?
15
Let a be 8/(-28) - (-37)/7. Suppose 5 + 0 = -4*u - c, -2*c - 10 = -a*u. Suppose -2*l - 6*l + 200 = u. Calculate the remainder when l is divided by 9.
7
Let n(w) = -w**2 - 6*w + 3. Let j be n(-6). Suppose 4*s = 0, -41 - 43 = -j*o - 2*s. What is the remainder when o is divided by 15?
13
Suppose -4*c + 7*c + 4*r - 186 = 0, 2*r = 3*c - 168. Calculate the remainder when c is divided by (-30)/(-3) + (-11 - -17).
10
Suppose -5*m + 144 = -2*m. Suppose 59 - 9 = 5*i - 2*y, 0 = i + 4*y - 10. Calculate the remainder when m is divided by i.
8
What is the remainder when (1/5 + -1)/((-58)/8990) is divided by 14?
12
Suppose -p = -4*p + 4*p. Suppose p = -23*g + 18*g + 280. Let d(x) = x**2 + 4. What is the remainder when g is divided by d(-5)?
27
Let y = -34 + 63. Suppose 4*r + 59 = 4*x + r, 2*x - r - y = 0. Suppose h = o + 51, -o + 2 = -0. What is the remainder when h is divided by x?
11
Let a(l) = 6*l - 187*l**2 - 14*l + 182*l**2 - l**3 - 29. Calculate the remainder when 17 is divided by a(-5).
6
Suppose -3*z + 20 = 4*c, -1 - 24 = 5*z - 5*c. Suppose n + 32 - 112 = z. What is the remainder when n is divided by 21?
17
Suppose 31 = 4*m - 69. Suppose -m*s = -20*s + 575. Let q = s + 180. What is the remainder when q is divided by 22?
21
Let x = 133 + -71. Let w = x + 24. Calculate the remainder when w is divided by 29.
28
Suppose 18 = b + 6. Suppose 3*x = 3 - 0, -2*j - 2*x = -68. Calculate the remainder when j is divided by b.
9
Let v = 25 - 27. Let b(x) = -4*x + 0*x**2 + x**2 + x + 2*x**2 - 5. Calculate the remainder when 46 is divided by b(v).
7
Suppose 6 = 4*n + 5*s + 44, 5*s = 3*n + 46. Calculate the remainder when n/(-30) - (-58)/20*34 is divided by 20.
19
Suppose -3*u + 4*u = 0. Suppose 4*d + 2*r - 124 = 0, u = -0*r + r - 4. What is the remainder when d is divided by 10?
9
Suppose 2*y - 81 - 11 = -2*b, 3*b = -5*y + 134. What is the remainder when 133 is divided by b?
37
Suppose 4*o = -0*f - 2*f + 456, -5*f + 20 = 0. Suppose 0 = 3*j + 2*q - 73, o = 4*j + 2*q + 16. Calculate the remainder when 86 is divided by j.
17
Suppose -74 = -2*l - 5*w, -3*w + w = 2*l - 86. What is the remainder when l is divided by 9?
2
Calculate the remainder when 2 - 0 - 4/((-20)/745) is divided by 38.
37
Let n(r) = -r**2 - r + 12. Suppose 0 = -3*p - 4 + 28. What is the remainder when n(0) is divided by p?
4
Calculate the remainder when (14/3 + -3)*(-2238)/(-5) is divided by 107.
104
Let t = 36 - 26. Let i = 9 + t. Let k = 14 - 7. Calculate the remainder when i is divided by k.
5
Suppose 1786 = 73*i - 35*i. Calculate the remainder when i is divided by (13 - -1) + (-2)/(-1).
15
Let n(p) = p**2 + 5*p + 7 - 7*p - 3*p. Let g be n(5). Let f(w) = 4*w - 7. Calculate the remainder when 61 is divided by f(g).
19
Let j = -896 - -1083. What is the remainder when j is divided by 3?
1
Suppose 18*t - 3*t = 45. What is the remainder when 111 is divided by t?
0
Let q(i) = -2*i**2 - 32*i + 3. Let f be q(-16). Suppose 5*t + 48 = 2*r, -f*r + 3*t = -t - 72. What is the remainder when r is divided by 3?
0
What is the remainder when 237*-7*(-8)/24*2 is divided by 41?
40
Suppose -520*x + 521*x = 73. Calculate the remainder when x is divided by 72.
1
Let q(x) = -x**3 + 38*x**2 + x - 14. Calculate the remainder when q(38) is divided by 19.
5
Let p(i) = -i**3 - 5*i**2 + 3*i + 5. Let h = 55 - 56. Calculate the remainder when (5/(-15))/(h/132) is divided by p(-6).
21
Let i(y) = -7*y + 40. Let s be i(6). What is the remainder when 7*(-26)/4*s is divided by 46?
45
Let t be 10/6 + 13678/(-42). Let a = 458 + t. Calculate the remainder when a is divided by 46.
42
Suppose -5*b = -1 - 4. Suppose 0 = 4*g - 12, -2*t + 0*t + g - 79 = 0. Let v = 42 + t. Calculate the remainder when v is divided by b.
0
Suppose -99 + 23 = -4*u. Calculate the remainder when 131 is divided by u.
17
Suppose -3*u - 404 = -689. What is the remainder when u is divided by 8?
7
Let z = 56 + -53. Let k = 40 - z. Calculate the remainder when 73 is divided by k.
36
Let j = 242 + -122. Calculate the remainder when j is divided by 41.
38
Suppose 2*d - 351 = 2*q - 1333, -4*d + 16 = 0. Calculate the remainder when q is divided by 83.
80
Let i be ((-165)/6)/((-4)/16). Suppose 3*s + p - i = 0, s = 2*p + 3*p + 58. Calculate the remainder when s is divided by 22.
16
Let q(z) = -2*z + 720. Let c be q(0). Suppose -f + 2*n + 3 = -10, 4*f - 46 = 2*n. Calculate the remainder when (1/2)/(12/c) is divided by f.
8
Let s(z) = z**3 + 9*z**2 + 8*z - 2. Let i be s(-8). What is the remainder when 3 + i + 2 + 26 is divided by 15?
14
Suppose 0*r = 3*r - 75. Suppose -5*d = -r - 110. What is the remainder when 51 is divided by d?
24
Suppose 2 + 14 = w. Let g = 5926 + -5849. Calculate the remainder when g is divided by w.
13
Suppose 0*j - 4*j = -8, 2*g + 5*j = 594. Suppose -g = -14*t + 114. Calculate the remainder when t is divided by 10.
9
Let w(s) = 11*s + 2. Let u be (3 - -1 - 3)/1. What is the remainder when w(u) is divided by 3?
1
Let o(j) = 2*j - 12. Let g be o(5). Let q = 17 + -2. What is the remainder when 0/(-1) + (59*g)/(-2) is divided by q?
14
Let x(m) = -35*m**3 + m + 1. Suppose -3*r - 8 = 2*w - r, 5*r + 17 = -2*w. Suppose -2*f + 6*f = 76. Calculate the remainder when x(w) is divided by f.
16
Let r(q) = 12*q**3 - 3*q**2 + 5*q - 4. Let v be r(2). Suppose 0 = -2*y - 3*k + 36, 2*y - 3*k = -3*y + v. Calculate the remainder when y is divided by 4.
2
Suppose 4*q + 296 = 5*n + 42, 0 = -2*n - 4*q + 96. Suppose 0 = -5*t + 3*u + 490, -t + 3*u + 48 + n = 0. What is the remainder when t is divided by 29 - 9/27*27?
18
Suppose 0 = 93*x - 85*x - 1328. What is the remainder when x is divided by 31?
11
Suppose 104*u - 136 = 100*u. Calculate the remainder when u is divided by 7.
6
Let b(a) = 2*a**2 - 4*a + 1. Let k be b(3). Let o(w) = -w**3 + 5*w**2 + 15*w + 15. Calculate the remainder when o(k) is divided by 12.
10
Let l = -1688 - -3445. Calculate the remainder when l is divided by 55.
52
Suppose 8*x = -5*y + 110, 0 = y - 5*x + 3 - 25. What is the remainder when 86 is divided by y?
20
Suppose j + 55 = 2*w - 94, 3*w = 4*j + 231. Calculate the remainder when 77 is divided by w.
4
Suppose -c + 20 = 4*m, 3*m = -c + m + 16. Calculate the remainder when 93 is divided by c.
9
Calculate the remainder when 109 is divided by 4480/120*(-6)/(-4).
53
Let a(o) = -28*o - 96. What is the remainder when a(-7) is divided by 22?
12
Let j(d) = -d**3 - 5*d**2 - 8*d - 11. Calculate the remainder when 142 is divided by j(-5).
26
Suppose 0*j - 2*j + 126 = 0. Let b be 3 - (-3 + 3)/4. Suppose 0 - 48 = -b*h. Calculate the remainder when j is divided by h.
15
Let s(c) = 2*c**2 + c - 36. Calculate the remainder when 124 is divided by s(6).
40
Let r = 7701 + -7675. What is the remainder when (-381)/(-4) - (-2)/(-8) is divided by r?
17
What is the remainder when ((-16731)/585)/(1/(-5)) is divided by 5?
3
Let o(m) = -m**2 - 40*m + 135. Let q be (1 - -1)/((-2)/37). Let b = -26 - q. What is the remainder when b is divided by o(-43)?
5
Suppose 3*m + 30 = -0*m. Let u = -3 - m. Calculate the remainder when 21*(-2 - 5 - (-165)/21) is divided by u.
4
Let x(d) = d**2 + 4*d - 2. Suppose -k = 13 - 6. Suppose 7*v = 2*v + 370. What is the remainder when v is divided by x(k)?
17
Calculate the remainder when 348 is divided by 18/(-33) - (427/(-77) - -2).
0
Suppose -2*x + 5*w = -133, 8*x - 3*w + 168 = 11*x. Calculate the remainder when x is divided by 38.
21
Suppose -12*c = -51 - 81. Calculate the remainder when 132 is divided by c.
0
Let h(f) = f**2 + 7*f + 5. Suppose -m = 3*n + 16, 0 = -3*m + 3*n - 9 - 3. What is the remainder when (5/(-10 - -5) - -5)*2 is divided by h(m)?
3
Suppose 5*x + z - 51 = 0, 2*x + 53 = 7*x + 3*z. What is the remainder when 168 is divided by x?
8
Let d = -228 - -299. What is the remainder when d is divided by 19?
14
Let p = 17 - 14. Suppose 3*k - 4*w = -2, 4*k + 3*w = 2*k + 27. Calculate the remainder when k is divided by p.
0
Let y(p) = -2*p + 13. Suppose -4*h + 26 = -50. Calculate the remainder when h is divided by y(3).
5
Let d(h) be the second derivative of -h**3/3 + 4*h**2 + 3*h. Calculate the remainder when 12 is divided by d(3).
0
Let s(h) = h**3 + 18*h**2 + 76*h - 11. What is the remainder when 46 is divided by s(-9)?
12
Let y be 134/8 