.
1
Suppose 26*d + 1505 = 33*d. Let v(c) = c**2 - c + 54. What is the remainder when d is divided by v(0)?
53
Let d = -197 - -207. Calculate the remainder when 10 is divided by d.
0
Let j(x) = -x**2 - 11*x + 6. Let y be j(-11). Suppose 108 = -2*k + y*k. What is the remainder when 77 is divided by k?
23
Let f(k) = -4*k + 28. Let a be f(7). Suppose -27*j + 25*j + 74 = a. Calculate the remainder when 72 is divided by j.
35
Calculate the remainder when (-1)/5 + (-10110)/(-50) is divided by 7.
6
Suppose -2 + 1 = s - 2*d, -s + 5*d + 5 = 0. Let u be (-4)/(-10) + (-3)/s. What is the remainder when ((-4)/(-8))/(u/90) is divided by 23?
22
Suppose -k - 6*k = 0. Let y(q) = q**2 - 3*q + 2315. Let n be y(k). Calculate the remainder when n/30 - 3/18 is divided by 20.
17
Let n(k) = -2*k + 8. Let h be n(6). Let d(f) = -f**3 - 4*f**2 - 5*f - 1. Calculate the remainder when d(h) is divided by (2024/(-77))/(-8) - (-2)/(-7).
1
Let x(l) = 3*l**2 + 121*l - 117. Calculate the remainder when 341 is divided by x(-42).
62
Suppose -2*j + 5*u = -0*j + 29, 4*u = 5*j + 30. Calculate the remainder when 28 is divided by ((j - -5) + -2)/((-1)/(-10)).
8
Suppose 4*p + 44 = -2*f - 0*f, 0 = 5*p - f + 48. What is the remainder when (-534)/p - (-4)/60*-6 is divided by 14?
11
Suppose 4*g - 2*n - 33 = 1, 15 = 2*g - 3*n. Calculate the remainder when 74 is divided by 2 - 3 - -15 - (-10 + g).
14
Let d = -209 - -266. Calculate the remainder when 114 is divided by d.
0
Let l = -77 - -83. Suppose l = -s + 31. Suppose -f + 45 = 4*f. Calculate the remainder when s is divided by f.
7
Let a(p) = -p - 9. Let c be a(-12). Suppose 0 = 3*q - c*t - 33, 2*q - 25 + 3 = -4*t. Calculate the remainder when -2*2 + 476/14 is divided by q.
8
Let n(d) = -50*d - 74. Suppose 3*b - b = 14. Calculate the remainder when n(-2) is divided by b.
5
Suppose -2*x - 20 = -5*s - 7*x, -4*s - 5*x = -20. Suppose -2*a + 0*t - 5*t = -95, -a + 2*t + 52 = s. What is the remainder when a is divided by 18?
14
Let p(a) = a**3 + 39*a**2 + 35*a - 89. What is the remainder when p(-38) is divided by 17?
8
Suppose f = 3*f - 6. Let i = f - 1. What is the remainder when i is divided by 2?
0
Suppose -7*g + 3*g - 3*x = -51, 5*x + 2 = 3*g. Suppose 0 = -g*o + 5*o + 20. Calculate the remainder when o is divided by 4.
1
Let b = 1403 - 301. Suppose -4*f = 238 - b. Suppose 3*l = -l + f. What is the remainder when l is divided by 14?
12
Calculate the remainder when 34 is divided by 17 + 72/9 - 8/2.
13
Let n = 22 + 4. Let k = n + -21. Suppose 2*s + 9 = k*s. What is the remainder when 4 is divided by s?
1
Let r = -49 + 437. Calculate the remainder when r is divided by 26.
24
Let g be 77/1 + (-3 - -2). Let x = -23 + 44. Suppose -5*r - x + g = 0. Calculate the remainder when r is divided by 6.
5
Let b = 83 + -49. Calculate the remainder when b is divided by 12*(-3 - (-150)/40).
7
Let r = 362 + -272. Calculate the remainder when r is divided by 79.
11
Let z(i) = 2*i**2 - i + 2. Suppose 5*f + 13 + 0 = -3*d, f + 21 = 4*d. Calculate the remainder when 2990/90 + d/(-18) is divided by z(-2).
9
Let z(m) = 32 + 20 - 10 - m. What is the remainder when 166 is divided by z(0)?
40
Suppose 95*u + 122 = 3*k + 94*u, -k + 43 = 2*u. Calculate the remainder when 695 is divided by k.
39
Let b = 18 + 12. Calculate the remainder when (-58)/((-1)/(-3) - 1) is divided by b.
27
Suppose -7*y = -429 - 334. Calculate the remainder when y is divided by 24.
13
Let j = 6 + -4. Suppose -3*o - y = -1 - j, 5*y = 3*o - 3. What is the remainder when o is divided by 1?
0
Let u = 140 + -132. What is the remainder when 35 is divided by u?
3
Suppose 2*y + 8*k - 5*k = 0, -3*k - 3 = y. Suppose 6*t = y*t + 159. Calculate the remainder when 368 is divided by t.
50
Let o(j) = 8*j + 1. Let l be -1 - (-3 - -6) - 94. Calculate the remainder when l*-2*1/4 is divided by o(3).
24
Let z = -44 - -37. Let d(q) be the third derivative of q**5/60 + q**4/8 + q**3/6 - q**2. Calculate the remainder when 55 is divided by d(z).
26
Suppose 0 = -104*r + 99*r + 120. Calculate the remainder when 46 is divided by r.
22
Suppose -3 = -y - 2*r + 5, 5*y - 45 = -5*r. Let q(x) = -x + 3. What is the remainder when ((-15)/y)/(1/(-18)) is divided by q(-4)?
6
Let b(n) = 6 - 3*n**3 + 0*n**3 + 2*n**3 - 4*n + 9 - 6*n**2. Calculate the remainder when 26 is divided by b(-5).
6
Suppose 0 = 8*k + 85 - 293. Suppose -y + 1 + 6 = 0. Calculate the remainder when k is divided by y.
5
Calculate the remainder when -3 + 5 + 40 - (2 - 0) is divided by 24.
16
Let f(r) = -2*r**2 - 92*r + 9. Let b(o) = o + 1. What is the remainder when f(-46) is divided by b(2)?
0
What is the remainder when 224 is divided by (-95)/2*(-264)/220?
53
Suppose -24 = -4*f + 2*w + 18, 4*w + 19 = 3*f. What is the remainder when 193 is divided by f?
11
Let m be (-2)/(-2) - (-9 + 1). Let o be m/12 + 21/4. What is the remainder when 33 is divided by (-74)/(-6) - 2/o?
9
Suppose 329 = 4*p - 331. Suppose p + 105 = 6*v. What is the remainder when v is divided by 8?
5
Let a(t) = -t**2 - 4*t + 31. Let m be a(-8). Calculate the remainder when m + 1/2 + (-2523)/(-58) is divided by 12.
7
Let v = 11 + 15. Suppose 25 = 3*q - 4*m - v, -3*q = -5*m - 54. Suppose 2*u - 11 = 5*h, h + 0*h = 4*u - q. What is the remainder when 6 is divided by u?
0
Suppose -4*k + 203 = z, 2*k + 8*z - 97 = 3*z. What is the remainder when k is divided by (-53)/(-3) + (-1)/(-3)?
15
Let r(y) = -y**3 - 10*y**2 + 2*y + 9. Let d be r(-10). Let p = d - -10. Let x = p + 50. What is the remainder when x is divided by 13?
10
Suppose 0*q = 5*q - 80. Let z(s) = -2*s**2 + 33*s - 9. Calculate the remainder when 25 is divided by z(q).
4
Suppose -3*y = -y + 3*y. Let c(s) = s**2 + 74. What is the remainder when c(y) is divided by 15?
14
Let r = 1441 - 1414. What is the remainder when 57 is divided by r?
3
Suppose 5934 = 33*k + 10*k. Calculate the remainder when k is divided by 13.
8
Suppose s + 0*s + 2 = 0. What is the remainder when 95 is divided by -3 + (s - (-34)/2)?
11
Suppose 0 = -382*z + 377*z + 130. What is the remainder when 41 is divided by z?
15
Let g(r) = -r**3 + 4*r**2 - 5*r + 8. Let x be g(3). Suppose 5*y - 192 = x*y. What is the remainder when y is divided by 17?
13
Let t(d) = -4*d - 18. Let u be t(-5). Suppose -2*w - u*w + 208 = 0. What is the remainder when 207 is divided by w?
51
Suppose 4*j - 72 = 3*l, 3*j - 37 = -3*l + l. Let w = -17 - -42. Calculate the remainder when w is divided by j.
10
Suppose -246 = -61*c + 364. Suppose 3*t - 4*o = o + 4, 4*t = 2*o - 4. Let n(j) = -j**3 - j**2. What is the remainder when c is divided by n(t)?
2
Let l be (36*(-3)/(-30))/((-3)/15). Suppose -b = 2*b - 63. Let x = b + l. What is the remainder when 4 is divided by x?
1
What is the remainder when 209 is divided by (-418)/(-8) + (-9)/(-12)?
50
Let s(t) = t**2 + 38*t + 57. Let u be ((-74)/(-6))/(13/(-39)). Calculate the remainder when (29*1)/(2/4) is divided by s(u).
18
Suppose 5*m + 19 - 49 = 0. Suppose -18*w + m = -15*w. Let n(c) = c**3 + 4*c**2 + 2. Calculate the remainder when w is divided by n(-4).
0
Let q(c) = c**3 - 25*c**2 - 25*c - 12. Let n be q(26). What is the remainder when 2/n + (-3020)/(-28) is divided by 37?
34
Suppose 4*c - y = 75, 67 + 18 = 3*c + 5*y. Suppose -j = 4*u - 0*j - 304, -u + 57 = 5*j. What is the remainder when u is divided by c?
17
Suppose -5*l + 88*q = 87*q - 73, -5 = l - 3*q. Calculate the remainder when 1/(-3) + (-854)/(-6) is divided by l.
14
Suppose -8 - 15 = -i. Suppose -o = -0*o - i. What is the remainder when o is divided by 12?
11
Let m(g) = -8*g - 7. Let v = 110 + -61. Let p = v + -23. What is the remainder when m(-7) is divided by p?
23
Let y(x) = 3*x - 18. Let r be y(6). Calculate the remainder when (r - -2) + 23 - -3 is divided by 11.
6
Let b(a) = 2*a - 4. Let w be b(6). Let y be 6/2 - 1 - w. What is the remainder when 89 is divided by y/(-30) - (-228)/10?
20
Let o be 5/(-10)*0/(-1). Suppose -p + 5 + 6 = o. What is the remainder when 41 is divided by p?
8
Let c(n) = 2*n**2 - 8*n - 22*n**2 + 11*n**2 + 11 - n**3. Calculate the remainder when 19 is divided by c(-8).
8
Suppose 2396 = 4*g + 5*u, 5*g - 5*u = 2*g + 1762. What is the remainder when g is divided by 85?
84
Suppose -20*t = -45578 - 6842. What is the remainder when t is divided by 46?
45
Suppose 2*f = 7*f - 5*g - 1490, 2*