 the remainder when -8 - -136 - (5 + -6) is divided by 14.
3
Let p = 56 - 45. Suppose r - 3 = p. Calculate the remainder when r is divided by (-7)/((-21)/9)*1.
2
Let y = 1397 - 968. Calculate the remainder when y is divided by 48.
45
Suppose f = 56 + 6. Let d(i) = 7*i**2 + i + 2. Calculate the remainder when f is divided by d(2).
30
Let a(h) = h**3 + 12*h**2 + 4*h - 2. Let p be a(-11). Suppose -p = u - 4*u. Calculate the remainder when (194/(-6))/((-10)/30) is divided by u.
22
Let k be (-3 - -24*1) + 4. Suppose -5*t + 36 = b, -3*t = 4*b - k - 51. Calculate the remainder when 29 is divided by b.
13
Let s be (-86)/3*((0 - 2) + -1). Suppose s + 39 = 5*b. Calculate the remainder when b is divided by 9.
7
Suppose 0 = 8*l - 3*l - 20. Let c be -17*(l + (-4 - 1)). Let b = c - -52. Calculate the remainder when b is divided by 18.
15
Let c(g) = -88*g. Let t be c(-1). Let w be ((-98)/(-245))/((-2)/(-20)). Suppose n - t = -w*d, d + 3*n = -n + 22. What is the remainder when 43 is divided by d?
21
Calculate the remainder when (-87)/(-4)*(-220)/(-33) is divided by 73.
72
Let x(c) = -3*c + 141. Suppose 4*t + 4 = 0, -p - t = -3*t - 6. Suppose 2*r - 9 = -z, p*r + z - 30 = -r. Calculate the remainder when x(38) is divided by r.
6
Let p(s) = -21*s + 6. Calculate the remainder when 159 is divided by p(-1).
24
Let s = -1190 - -1214. Calculate the remainder when 354 is divided by s.
18
Suppose 2*d = -2*h - 2*d + 78, 3*d = 2*h - 85. Let t = -20 + h. Calculate the remainder when t is divided by 8.
5
Let j(s) be the first derivative of s**4/4 + 2*s**3 - 4*s**2 - s + 5. Let z be j(-7). Suppose 4*r = 2 + z. What is the remainder when r is divided by 2?
0
Let m(r) = r**3 + 8*r**2 + 11*r. Let g be m(-6). Let c(b) = 2*b + 10. What is the remainder when c(g) is divided by 12?
10
Suppose -2*r + 107 = -3*m, 3*m - 5*m + 6 = 0. Let u = 14 - 52. Let g = u + 68. What is the remainder when r is divided by g?
28
Let n = 6 + -4. Suppose 287*c - 44 = 283*c. What is the remainder when c is divided by n?
1
Let s = -67 + 169. Suppose 3*m = -2*n + s, n - 5*n = m - 24. What is the remainder when m is divided by 16?
4
Let k(o) = 2*o**2 + 16*o + 57. Calculate the remainder when k(-4) is divided by 13.
12
Let t = -558 + 923. Suppose -2*z - 5 = -h, -3*h - 3*z + 42 = -0*h. Suppose 6*o = h*o - t. What is the remainder when o is divided by 19?
16
What is the remainder when 6 + 8 + -10 - -64 is divided by 24?
20
Let w be (-5 - -1) + 1 - 236. Let k = -129 - w. Calculate the remainder when k is divided by 28.
26
What is the remainder when (45 - 42)/(548/(-554) + 1) is divided by 31?
29
Let o(g) = -2 - 1 - g**3 + 1 + 3*g + 0*g**3. Let c(w) = -w**3 + w**2 + w + 62. What is the remainder when c(0) is divided by o(-3)?
14
Suppose 4*f = 103 + 369. Let l = f + -99. Calculate the remainder when 74 is divided by l.
17
Let t be 3*(1 + 0) + 1. Suppose 5*n = -3*z - 104, -t*z + 46 = 4*n + 134. Let k = -11 - n. Calculate the remainder when 23 is divided by k.
7
Suppose 3*y = -2*x + 9, x = -4*x + 4*y + 11. Suppose x*r = 30 + 15. Calculate the remainder when 27 is divided by r.
12
Let y(m) = -8*m + 64. Calculate the remainder when y(-7) is divided by 32.
24
Let o be 30 - (3 + -2 - -2). Suppose 5*v - 23 = o. What is the remainder when 24 is divided by v?
4
Let o be 14/(-63) + (-443)/(-9). Let z = o - 35. Calculate the remainder when 39 is divided by z.
11
Suppose 0 = -7*n + 257 + 142. Let b(d) = -d**3 - 3*d**2 + 4*d + 3. Let f be b(-4). Suppose 0 = f*a - 10 - 35. What is the remainder when n is divided by a?
12
Suppose 0 = w + 3 - 4. Let b(k) = -2*k**2 - 28*k + 15. What is the remainder when b(-14) is divided by w/2 + (-11)/(-2)?
3
Let n be ((-5)/10 - 27/(-6)) + -1. What is the remainder when 34 is divided by (-18)/(0 - 3) - (-5 + n)?
2
Let g(t) = -t**3 + 8*t**2 + 5*t. Let w be g(5). Suppose w = 4*r + r. What is the remainder when 77 is divided by r?
17
Suppose -5*o - l + 38 = -10, 0 = -o + l + 18. Let y = 70 + -47. Suppose -20 = -m + y. What is the remainder when m is divided by o?
10
Let w(x) = -x**2 + 26*x - 147. What is the remainder when 88 is divided by w(16)?
10
Let k = -1994 + 2039. What is the remainder when 1619 is divided by k?
44
Let u = 1 + -6. Let i(s) = s**3 + 7*s**2 - s + 1. Suppose 13*c = 66 + 129. What is the remainder when i(u) is divided by c?
11
Suppose 3*s = 15, 10*p - 15*p + 535 = -4*s. What is the remainder when 345 is divided by p?
12
Let z be (-12 - -12)/(-2 - 0). Suppose z = -d - 4 + 13. Calculate the remainder when (d*4 + 2)*1 is divided by 20.
18
Suppose -29*h + 37*h - 96 = 0. What is the remainder when 70 is divided by h?
10
Let d = -221 - -253. What is the remainder when d is divided by 17?
15
What is the remainder when 273/26*(-216)/(-21) is divided by 10?
8
Let w(v) = -v + 5. Let t(p) = p**2 + p - 6. Let r be t(-3). Suppose 6*n = -r*n + 180. Calculate the remainder when n is divided by w(-6).
8
Suppose 0 = -72*z + 60*z + 1440. What is the remainder when z is divided by 36?
12
Let f be 2/(-7) - (-48)/21. Let u(t) = 3*t - 26*t**3 + 50*t**3 - 6 - 25*t**3 - 5*t**f. Calculate the remainder when u(-6) is divided by 4.
0
Let i be 6*(-33)/(-12)*(-2)/3. Let m = 25 + i. What is the remainder when 39 is divided by m?
11
Let z = 71 - 73. Calculate the remainder when (2 - 4) + 87 + z + -1 is divided by 21.
19
Let z(d) = 3*d**2 - 3*d + 2. Suppose -1296 = -6*r - 138*r. Calculate the remainder when z(-3) is divided by r.
2
Let i = 28 + -12. Suppose 0 = 2*g + i - 64. Calculate the remainder when 232/10*60/g is divided by 20.
18
Let n = 20 - -2. Calculate the remainder when 86 is divided by n.
20
Suppose -3*n - 5*o = -15, 9 = 5*n - 3*o - 16. Suppose -4*s + n*m + 37 = -3, 3*s - 30 = 3*m. Calculate the remainder when 28 is divided by s.
8
Calculate the remainder when 60 + (16*-3)/(-6) is divided by 13.
3
Let u be ((-102)/(-8))/((-12)/(-32)). Let q be (12/5)/((-2)/25). Let s = u + q. What is the remainder when 9 is divided by s?
1
Let b(a) = a**2 - 24*a + 171. Calculate the remainder when b(17) is divided by 19.
14
Suppose 155 = -13*r + 18*r. Suppose -2*y + 0*v + v = -17, 2*y = -v + 15. Calculate the remainder when r is divided by y.
7
Let y be (-3 + (-13)/(-5))*10. Let g = 5 - -3. What is the remainder when 438/15 + y/(-5) is divided by g?
6
Let z(r) = 6*r**2 + 10*r - 49. What is the remainder when 172 is divided by z(3)?
32
Calculate the remainder when 52 is divided by (-272)/(-9) + 28/(-126).
22
Let u(o) = o**3 + 10*o**2 - 27*o - 18. Let r = 13 + -7. Suppose -1 = a - r. What is the remainder when u(-12) is divided by a?
3
Calculate the remainder when 9016/72 + (-8)/36 is divided by 8.
5
Suppose -4*c = 142*q - 143*q - 349, -4*q - 352 = -4*c. What is the remainder when 145 is divided by c?
58
Suppose 0 = -4*h + 45*h - 2378. Calculate the remainder when 168 is divided by h.
52
Let n = 100 + -71. Calculate the remainder when 1215 is divided by n.
26
Calculate the remainder when 39672/1131 - 2/26 is divided by 9.
8
Suppose -3*i = 5*c - 10, -3*c - 2*c = 2*i - 10. Suppose 0*v + c*v + 19 = k, -1 = -k - 4*v. What is the remainder when k is divided by 7?
6
Let j(t) = 13*t + 66. Calculate the remainder when 40 is divided by j(-2).
0
Let k = -223 - -271. Calculate the remainder when 187 is divided by k.
43
Let d be (-1155)/25 - (-2)/20*2. Let f = -33 - d. Calculate the remainder when 35 is divided by f.
9
Let q(r) = 9*r**2 + 3*r - 1. What is the remainder when q(2) is divided by (3 + -2)*44/4?
8
Let z = 1898 - 802. What is the remainder when z is divided by 20?
16
Let z be 2/6 - (-116)/12. Suppose v - 2*x = x + 10, -4*v = -4*x - 32. Let l = z - v. Calculate the remainder when 6 is divided by l.
0
Let m(j) = -4*j + 5. Let h be m(-7). Suppose -4*n + 3*z = -6*n - h, -5*n + 3*z = 51. What is the remainder when 6 is divided by (-16)/n*(-9)/(-6)?
0
Let y = 58 + 20. Suppose -417 = -4*o + 5*f, 4*o - y = f + 351. Let k = 25 + o. What is the remainder when k is divided by 34?
31
What is the remainder when -7 - (-155 - (5 - -2)) is divided by 41?
32
Let y = -176 + 191. Calculate the remainder when 85 is divided by y.
10
Suppose 0 = -3*c + 17 - 8. Suppose -2*n + 180 = -4*n. Let b = 93 + n. Calculate the remainder when c is divided by b.
0
What is the remainder when 261 is divided by 4/10*275/2?
41
Let i = 419 + -323. C