 Let d = -30 - o. Calculate the remainder when 20 is divided by d.
2
Suppose -2*u + 4*m + 120 = 0, -u + 4*m + m = -57. What is the remainder when 19 - (0 - -1 - 1) is divided by 589/u + 2*1/4?
9
Let v(b) = 3*b**3 - 3*b**2 - 5*b + 3. Let i be (-25)/(-9) + (-2)/(-9). Let r be v(i). Suppose 0 = -3*u + 6*u - r. What is the remainder when 39 is divided by u?
11
Suppose -474*k + 487*k - 1222 = 0. What is the remainder when k is divided by 16?
14
Suppose 5*n - 9*g + 10*g = 2090, 4*n - g = 1663. What is the remainder when n is divided by 22?
21
Let h(i) = i**2 - 12*i - 1. Let w be h(-5). Calculate the remainder when (18/(-8))/((-3)/w) is divided by 22.
19
Let u = -25 + 28. Suppose -q - f = -4*q + 58, u*q + 4*f - 68 = 0. Let o = q - 1. What is the remainder when o is divided by 6?
1
Suppose 6*m - 38 = m + 2*h, -m + 4*h + 22 = 0. Let b(y) = 6 - 1 - 3 - m*y. What is the remainder when b(-5) is divided by 17?
15
Let n(p) = -2*p + 28. Let y be n(12). Let a(w) = w**3 - w**2 + 4*w - 3. What is the remainder when a(y) is divided by 16?
13
Suppose -7*x + 4*x = -21. Calculate the remainder when (1 - -7)*(16 + (-968)/64) is divided by x.
0
Let w(g) be the third derivative of -5*g**4/24 - g**3/6 - 13*g**2. Let q be w(-5). Let y = q - 20. Calculate the remainder when y is divided by 2.
0
Suppose -4*u = 2 + 26. Let d = -4 - u. Suppose 0 = d*z - 4 + 1. Calculate the remainder when 1 is divided by z.
0
Suppose -3*n - 15 = -4*n. Suppose -24 = 3*h + m - 84, 0 = m + 6. Calculate the remainder when h is divided by n.
7
Let x(d) = 47*d - 383. Calculate the remainder when x(14) is divided by 69.
68
Let w(o) = 5*o + 13. Calculate the remainder when 39 is divided by w(-2).
0
Let f = -7 + 12. Suppose 3*l + k = -61, -f*l = -0*l - 2*k + 98. Let n = 6 - l. Calculate the remainder when 101 is divided by n.
23
Suppose 4*l + 5*b = 66, -5*b = -3*l + 29 + 3. Let k = 44 + -20. What is the remainder when k is divided by l?
10
Let l(a) = -a + 16. Let b be l(5). Let x = 78 + b. Calculate the remainder when x is divided by (-3)/(3/(-22)) - -1.
20
Suppose 5*k - 80 = 25. Let i = -42 - -106. Suppose -u = -h - 4*u + i, 5*u + 117 = 2*h. What is the remainder when h is divided by k?
19
Let l = -865 + 881. Calculate the remainder when 172 is divided by l.
12
Suppose s + 0 = 1, -59 = -5*t + s. Calculate the remainder when 92 is divided by t.
8
Let b(h) be the third derivative of h**4/12 + h**3/3 + 2*h**2. Let o be b(-5). What is the remainder when 3 is divided by (o/(-6))/(6/9)?
1
Suppose 5*j - 178 = 372. Let g(b) = -b**3 + 29*b**2 - 54*b - 16. Let z be g(27). What is the remainder when j is divided by (z/(-60)*3)/((-1)/(-35))?
26
Let s be 5 + (0 - 2) + -1. Suppose -5*m + 22 = s. Suppose -2 + 102 = m*j. What is the remainder when j is divided by 14?
11
Let x = -216 - -230. What is the remainder when 61 is divided by x?
5
Suppose -10*m + 105 = -115. Calculate the remainder when 28 is divided by m.
6
Let c = 373 + -253. What is the remainder when c is divided by 27?
12
Suppose -2*b + 42 = -t, 0 = b - 28*t + 24*t - 7. What is the remainder when 1699 is divided by b?
20
Let g(h) = -h**3 - 8*h**2 + 18*h - 6. What is the remainder when g(-10) is divided by 3?
2
Suppose -4*r + 3*h = -19, 4*r - 5*r + 3 = h. Suppose r*a = -4*m + a - 3, 4*m = 3*a + 27. Let v = 21 - m. Calculate the remainder when v is divided by 11.
7
Let g(s) = 6*s - 36. What is the remainder when 32 is divided by g(7)?
2
Let s(y) = y**3 + 7*y**2 - 10*y - 20. Let l be s(-8). What is the remainder when ((-7)/21)/(l/132) is divided by 2?
1
Suppose v - 10 = i, 2*v - 3*v - i + 14 = 0. What is the remainder when 190 is divided by v?
10
Suppose -20*z + 1609 + 1091 = 0. What is the remainder when z is divided by 68?
67
Let d be ((-12)/(-14))/((32/(-588))/(-8)). Suppose 0 = 24*j - 15*j - d. What is the remainder when 65 is divided by j?
9
Let k = 35 - 23. Let w(i) = -34*i - 1. Suppose -3*d - 1 = 5*l + 10, 0 = -5*l + 5*d + 5. What is the remainder when w(l) is divided by k?
9
Let p = 328 - 282. What is the remainder when 79 is divided by p?
33
Suppose -2*r = -5*r + 27. Suppose -r = -3*v + 39. What is the remainder when v is divided by ((-45)/(-12))/(3/8)?
6
Let u(m) = 8*m**2. Let c be u(-1). Suppose -2*p - 4*a + 54 + c = 0, 3*p - 95 = -4*a. What is the remainder when p is divided by 19?
14
Suppose -100*g + 90*g = -4900. What is the remainder when g is divided by 13?
9
Suppose 0 = 3*p - 5*p - 2. Let l = p + 63. What is the remainder when l is divided by 17?
11
Suppose 344 = 57*u - 53*u. Calculate the remainder when 427 is divided by u.
83
Calculate the remainder when (-4)/(-10) + 1134/15 is divided by 54.
22
What is the remainder when (-183)/(-3) - 1 - (-16 + 12) is divided by 28?
8
Let f(d) = d**2 - d. Let y = 5 + -3. Let b be f(y). Suppose 4*r = i + 5, 5*r - b = 8. Calculate the remainder when 10 is divided by i.
1
Suppose -2*o = -a + 13, 5*o - 13 - 4 = -2*a. What is the remainder when 65 is divided by a?
10
Suppose 1 = 5*j - 74. Let z(k) = -32*k**2 - 2. Let r be z(-2). Let g = -72 - r. What is the remainder when g is divided by j?
13
Suppose 36 = -14*c + 16*c. Calculate the remainder when 484 is divided by c.
16
Suppose 5*m = -d + 53, 3*d + 2*m - m = 187. Calculate the remainder when 188 is divided by d.
62
Let d(k) = -6*k - 159. What is the remainder when 222 is divided by d(-27)?
0
Suppose 0 = r + i + 92 - 272, 5*r + 4*i - 897 = 0. What is the remainder when 201 is divided by r?
24
Suppose -27*b + 30*b - 801 = 0. What is the remainder when b is divided by 30?
27
Suppose 27 = 2*h + 1. Let b = -5 + 8. Suppose 2*j = b*o - 111, -6*j + 125 = 4*o - j. Calculate the remainder when o is divided by h.
9
Suppose 4 = j - 2*x, 3*x = -5*j - 0*x + 85. Suppose 3*c + 80 = 5*c. Let b = c + 13. Calculate the remainder when b is divided by j.
11
Suppose 32 = 5*f - f. What is the remainder when (-3)/4 + 718/f is divided by 23?
20
Let t = 20 + 27. Let f(c) = 8*c**3 - c**2 - 5*c - 7. What is the remainder when f(3) is divided by t?
44
Let w be 1*(-3 + 2 + 3 - 1). Calculate the remainder when 104 is divided by (-1)/w + 24 + 4.
23
Suppose 3*t = 5*t - 20. Suppose -11 = -2*s + 3*x, x - 6*x = 5*s - 65. Suppose 2*n - s = 28. What is the remainder when n is divided by t?
9
Suppose -3*r = -4*f + 41, 2*f - 4*f + 4 = 4*r. Suppose 0*d - d = -f. What is the remainder when 22 is divided by d?
6
Let y(w) = w**3 + 3*w**2 + 4*w - 5. Let r = 146 - 144. Let d(a) = a**2 + 3*a - 5. Calculate the remainder when y(r) is divided by d(-6).
10
Let j(g) = g + 2. What is the remainder when 30 is divided by j(13)?
0
Let s(m) = -16*m + 8. Let d be s(-4). What is the remainder when 61 is divided by 2 + 816/27 - 16/d?
29
Suppose -n = 2*r - 14, 0*r + 2*r + 3*n - 18 = 0. Let h = -2 + r. Suppose 0 = -h*m + 14 + 38. Calculate the remainder when 37 is divided by m.
11
Let g = 150 - 107. What is the remainder when g is divided by 26 + (2 - 4) + -1?
20
Suppose -9*x + 223 = -56. Suppose 2*i - 5*r - 33 = -0*i, -5*r - 45 = -5*i. Let b(v) = -v**3 + 5*v**2 - v - 4. Calculate the remainder when x is divided by b(i).
7
Suppose 7*l - 4*l - n - 570 = 0, -5*n = -2*l + 380. Calculate the remainder when l is divided by 72.
46
Let p = -3 + 8. Suppose -5*n + 2*n = 3, -p*n - 23 = 3*o. Calculate the remainder when 21 is divided by (-2*6)/(o - -4).
3
Let c = -240 - -357. Suppose -17 = -h - 3*v, -4*h + 3*v = -11 - c. What is the remainder when h is divided by 18?
11
Suppose 0*d = -d - 4*u + 12, -2 = -2*d + 3*u. Suppose -2 = -f + d. What is the remainder when 17 is divided by 64/14 - f/(-14)?
2
Let x(b) = 2*b**2 - 16*b - 8. Let d be x(8). What is the remainder when -1 + d/(-14) - (-636)/14 is divided by 16?
13
Suppose -6*b + 60 = -12*b. Let p(h) = -h**3 - 10*h**2 - 3*h + 30. What is the remainder when p(b) is divided by 31?
29
Let s(u) = -3*u**3 + 2*u**2 + 3*u + 13. Calculate the remainder when (-561)/(-9) - (-2)/(-6) is divided by s(0).
10
Suppose j = -6*q + 4*q + 1465, 2*q - 5872 = -4*j. Calculate the remainder when j is divided by 98.
97
Suppose -4*h - 2*l = -80, -3*h - 4*l + 1 = -49. Calculate the remainder when h is divided by 15.
7
Suppose -o + 252 + 251 = -a, -5*a = 5*o - 2535. What is the remainder when o is divided by 23?
22
Let g = -12 - -10. Let t be (6/3)/g - -9. Calculate the remainder when t + ((-6)/(-