f + 23 = 2*m. Calculate the remainder when 74 is divided by f.
9
Let n(d) = 919*d + 12198. What is the remainder when n(-10) is divided by 39?
5
Let j(f) = -f**3 + 7*f**2 - 10. Suppose a + 5*t = 10, 16 = 3*a + 7*t - 6*t. What is the remainder when j(a) is divided by 12?
4
Let b be 2/(-7) + (-90)/(-70). Calculate the remainder when b/((14/2)/343) is divided by 12.
1
Suppose 0 = 3*s - 3*a - 3471, 2*s + 25*a = 23*a + 2346. Calculate the remainder when s is divided by 39.
34
Let q(u) = u**3 - 7*u**2 + 15*u - 8. Let a be q(3). Suppose -a = 4*p - 93. What is the remainder when p is divided by 5?
3
Suppose -17*b + 5*z + 1455 = -12*b, -2*b - 4*z + 606 = 0. What is the remainder when b is divided by 140?
15
Let k(m) = m**3 + 52*m**2 + 629*m + 60. Suppose 0 = -2*t + 13 + 13. What is the remainder when k(-19) is divided by t?
9
Let t(k) = -273*k - 3542. Let q = 6 - -7. Calculate the remainder when q is divided by t(-13).
6
Let f = 45 + -32. Suppose 3*c = 68*o - 69*o + 108, 0 = 4*o + c - 443. Let t = o - 87. Calculate the remainder when t is divided by f.
11
What is the remainder when 82/(-328) + 2978/8 is divided by 65?
47
Suppose -348 = 62*b - 60*b. Let g = -153 - b. Calculate the remainder when 37 is divided by g.
16
Let x = -22709 + 22721. Calculate the remainder when 1433 is divided by x.
5
Let x = -682 + 732. Suppose q - 16 = -4*z, -5*z = 122*q - 117*q - x. Calculate the remainder when 66 is divided by q.
2
Let a = 2135 + -1496. Calculate the remainder when a is divided by 93.
81
What is the remainder when (-14 - (-83695)/(-76))/(15/(-40)*2) is divided by 5?
2
Let p = 2691 - 2652. What is the remainder when 184 is divided by p?
28
Let y = -665 + 374. Let f = y - -307. Calculate the remainder when 29 is divided by f.
13
Let p(g) = 8*g**2 - 3*g + 3. Suppose 27*b + 15 = 32*b. What is the remainder when p(2) is divided by (20/(-36)*b)/(2/(-18))?
14
Suppose 5*w + 5*d - 27 - 768 = 0, -2*d - 6 = 0. Calculate the remainder when w is divided by 19.
10
Calculate the remainder when 115 is divided by (34 - 71)/((-8)/24).
4
Suppose -5*o + 27 + 43 = 0. Let y = 2052 + -1998. What is the remainder when y is divided by o?
12
Suppose -3 = 5*h + 32. Calculate the remainder when (h + 21)/((-2)/(-3)) is divided by (-10)/50*0 + (15 - 4).
10
Suppose 5*i - 4*i = 3*u - 146, -i = u - 54. Let s = u + -30. Let g = s + -6. Calculate the remainder when 53 is divided by g.
11
Let i(b) = b**3 - 40*b**2 + 404*b - 45. What is the remainder when 1993 is divided by i(20)?
33
Suppose -18*f + 540 = -3*f. Calculate the remainder when (-105)/(-3)*(-696)/(-40) is divided by f.
33
Calculate the remainder when 177 is divided by 292/(-5)*255/(-102).
31
Let t = 588 - 512. Calculate the remainder when 482 is divided by t.
26
Suppose i = 0, i - 70 - 195 = -5*r. Suppose 2*b = 5*y + 4*b - 750, -4*y = -4*b - 628. Calculate the remainder when y is divided by r.
46
Suppose 4716 + 3925 + 1855 = 41*w. Calculate the remainder when w is divided by 84.
4
Let w be (88/(-14))/((-12)/42). Let a = w + 2. Let p = -183 - -229. Calculate the remainder when p is divided by a.
22
Suppose 4*a = 7*a - 261. Suppose a = 4*x + 95. What is the remainder when (x + 54/8)/((-12)/(-48)) is divided by 6?
1
Suppose 0 = -q - 6, 22 - 92 = -4*z + q. Calculate the remainder when 1150 is divided by z.
14
What is the remainder when 206 is divided by 446 + -450 + (34 - 1)?
3
Suppose 2*d + d = -54. Let z = d - 6. Let s = z + 33. What is the remainder when 33 is divided by s?
6
Let t = -70 + 69. Let j = 72 + t. Calculate the remainder when 351 is divided by j.
67
Let j(k) = k**3 + 8*k**2 + 9*k + 1. Suppose i = 0, 4*i - 2 = -4*o + 6. Suppose 0*z - 10 = o*z. What is the remainder when 61 is divided by j(z)?
30
Suppose -3*h = -5*h - 2*c + 16, -32 = -4*h - c. Suppose 0 = 12*i - h*i. Calculate the remainder when (-4 + 3 - i)*-118 is divided by 24.
22
Let j(i) = -48*i - 575. What is the remainder when 148 is divided by j(-12)?
0
Let w(a) = -2*a**2 + 7*a + 34. Let s be w(-14). Let h = -316 - s. Calculate the remainder when h is divided by 13.
10
Let g = -7 - -27. Let k be (16/(-10))/(g/(-50)). Suppose -554 + 134 = -k*a. What is the remainder when a is divided by 27?
24
Let j(r) = 7*r**2 - 123*r + 18. What is the remainder when j(-5) is divided by 90?
88
Let v(r) = -124*r + 2080. What is the remainder when 585 is divided by v(16)?
9
What is the remainder when (4 + (274 - 3))*1 is divided by 23?
22
Let o = -2 + 17. Suppose o*t - 2 = 14*t. Suppose -t*r = -r - 11. Calculate the remainder when 31 is divided by r.
9
Suppose -s = -4*k + 79, 3*k + 3*s = -2*s + 88. Calculate the remainder when 144 is divided by k.
18
Let g(i) = i**2 + 8*i + 3. Let d = -74 + 71. Calculate the remainder when d/((-824)/(-166) - 5) is divided by g(-9).
11
Let u(s) = -297*s - 227. What is the remainder when u(-2) is divided by 24?
7
Let y(w) = 36*w - 355. What is the remainder when y(30) is divided by 82?
69
Suppose -1734*m = -1737*m + 549. What is the remainder when m is divided by 66?
51
Let z = 13 + 2. Suppose -x + 5*x + 1512 = 4*l, -5*l = -3*x - 1894. Suppose -4*y - 24 = -l. What is the remainder when y is divided by z?
14
Let h be 9/2*(-72)/(-324). Let t = 16 - 2. Calculate the remainder when -2 + 28 + -2*h/(-2) is divided by t.
13
Suppose -4*c + 226 = 106*u - 103*u, 4 = -2*u. Calculate the remainder when 1563 is divided by c.
55
Let u be 9 + -3 + (-4)/2. Suppose -u*n = -22*n + 792. What is the remainder when 174 is divided by n?
42
Suppose -2*a - 86 = -5*l, 0*a - 8*a = 4*l - 136. Calculate the remainder when 692 is divided by l.
12
Suppose 4 - 6 = -j. Suppose 5 = 5*f - 5*m, -29*f - 4 = -28*f - 2*m. What is the remainder when f is divided by j?
0
Suppose s - 14 = -2*f, -4*s + 2*f + 0*f = -106. Suppose 4*l - 146 = -3*y, -2*y = -2*l + s + 42. Calculate the remainder when 175 is divided by l.
0
Suppose -767*i + 775*i = 416. Suppose -q + 3*q + 2*s = 206, -3*q = -5*s - 277. Calculate the remainder when q is divided by i.
47
Let r = 5250 + -5013. What is the remainder when r is divided by 58?
5
Suppose 0*m = -2*m + 28. Suppose 0 = 5*s - 31 - m. Let w(q) = -62*q + 291. What is the remainder when w(4) is divided by s?
7
Let n be 6/(-8)*(-8 - -7)*8. Suppose 84 = -n*x + 96. What is the remainder when 15 is divided by x?
1
Suppose -304*m + 154*m + 160*m = 42220. Calculate the remainder when m is divided by 41.
40
What is the remainder when (32 + -31)/((-4)/774)*-8 is divided by 500?
48
Calculate the remainder when 125 is divided by (-5*(-143)/(-165))/(1/(-9)).
8
Suppose 4*w + 4*d = 176, 0 = -18*w + 23*w + 4*d - 214. Calculate the remainder when 239 is divided by w.
11
Let f be (867*3/(-18))/((-1)/(-2)). Let x = f + 313. Calculate the remainder when x is divided by 3.
0
Suppose -22*m + 18*m + 200 = 0. Let z = m + 88. Calculate the remainder when z is divided by 7.
5
Let i = 46 + -17. Suppose -96 = -5*u - 3*v - 18, 2*u - 25 = 5*v. Suppose -s - u*s = -160. What is the remainder when i is divided by s?
9
Suppose 2580*t - 120 = 2575*t. Suppose j - 3*j - m - 255 = 0, 528 = -4*j + 4*m. Let c = j + 194. What is the remainder when c is divided by t?
17
Suppose -6*h + 1751 + 121 = 0. Let x = -298 + h. What is the remainder when 360 is divided by x?
10
Calculate the remainder when 145 is divided by (-264)/22 - -13 - -6.
5
Suppose s = -7 - 17. Calculate the remainder when (-128)/(-5) - (-2 + s/(-15)) is divided by 3.
2
Let s(l) = -l**2 - l + 78. Let i be s(0). Suppose h - i = -h. Let w = -2124150 - -2124158. What is the remainder when h is divided by w?
7
Let o(u) = 76*u - 57. Let k be o(-1). Let b = -128 - k. Calculate the remainder when 187 is divided by b.
2
Suppose 0 = 4*k + 341 + 243. Let t = -76 - k. What is the remainder when 129 is divided by t?
59
Suppose 128 = 10*c - 48 + 56. Calculate the remainder when 23097 is divided by c.
9
Suppose 0 = 3*m - 5 + 20. Calculate the remainder when 18/(-8)*-2*28 is divided by 7 + 26 + 0*1/m.
27
Suppose 2*a - 3*a - 3 = 0, 3*a - 678 = f. Let h = 713 + f. Let l = 13 + -5. What is the remainder when h is divided by l?
2
Calculate the remainder when 31103 is divided by 156/65*((-72)/21)/((-16)/280).
143
Calculate the remainder when 89 - -21*4/12 is divided by 51.
45
Suppose 10*i - 270 = 40. Calculate the remainder when i is divided by 25.
6
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