d by a/8 + (45/20)/3?
15
Suppose 3*k + 3*m = -1218, 4*k + 2*m + 225 = -1405. Let z = k + 686. What is the remainder when z is divided by 31?
29
Suppose 305 + 560 = 5*z. Suppose -2*c = 5*r - z, -84 = 2*c - 3*c - 2*r. Calculate the remainder when c is divided by 18 - (1 + -4 + -4).
24
Let i(t) = -t**3 + 28*t**2 - 25*t + 23. Suppose -3*h + a - 34 + 117 = 0, 5*h - a = 137. Calculate the remainder when 230 is divided by i(h).
76
Suppose -1755*y = -1718*y - 481. What is the remainder when 532 is divided by y?
12
Suppose -65*c = -69*c + 20, 3*c - 2652 = -u. Calculate the remainder when u is divided by 19.
15
What is the remainder when 33017 is divided by 60/135*1 - (-6846)/27?
251
Let j be -5 + 4 + (-12 - 4). Let k = 31 + 57. Let l = j + k. What is the remainder when l is divided by 18?
17
Suppose -17*g + 29*g = 216. Suppose j - 616 = -4*z, -145 = -z + 2*j - 0. Calculate the remainder when 45 is divided by 3/(-2) + z/g.
3
Suppose -12*p = -13*p - 58. Let m = -52 - p. Suppose v = m - 4. Calculate the remainder when 3 is divided by v.
1
Let x = -87 + 151. Suppose -44 + x = 5*t. Suppose -238 + 42 = -t*g. Calculate the remainder when g is divided by 13.
10
Let h be 22 - 17 - (0 + 0). Suppose -h*p = -5*z - 160, -3*p - 2*z - 11 + 102 = 0. Calculate the remainder when p is divided by 6.
1
Let u(v) = -2*v**2 + 171*v - 433. Suppose 0 = -z + 4 + 3. Suppose z = o + 2*q, -5*o - 12 = 4*q - 53. What is the remainder when u(82) is divided by o?
6
Let w(h) = h**3 + 62*h**2 + 58*h - 143. Calculate the remainder when (-1 + -1)*(-679)/14 is divided by w(-61).
17
Suppose -9*l + t + 1401 = -4*l, -279 = -l - t. Suppose 5*v = 2*m + l, 4*m = -7*v + 4*v + 142. What is the remainder when 160 is divided by v?
52
Suppose -3*g - 10 = -4*x, 2*g + 13*x + 10 = 15*x. Calculate the remainder when (-592)/(-48) - g/6 is divided by 13.
1
Let b = -18658 - -19427. Calculate the remainder when b is divided by 150.
19
Calculate the remainder when 394/((4/54)/(-13 - 1180/(-90))) is divided by 84.
3
Suppose d - 12 = -3*f, 0 = 4*f - 0*f + 5*d - 5. Suppose 4*b + 46 = 5*u, -f*b = -u - b + 22. Calculate the remainder when (12/8 + -3)*-6 is divided by u.
3
Suppose -4*i + d = 537 - 603, -3*i + 72 = 3*d. Let q(n) = n**3 - 6*n**2 + 14*n - 12. What is the remainder when q(9) is divided by i?
15
Let p(k) = 4*k**2 - 20*k + 3. Let s be p(11). Suppose -1311 = -5*y - 2*d, -y + d + d + s = 0. What is the remainder when y is divided by 14?
11
Let p be 0/(-2)*(-1)/2. Let i(m) = -m**3 + m + 43. What is the remainder when i(p) is divided by 13566/(-483) - -28 - (-10670)/506?
1
Suppose 2*s + 3*k = 7*s - 9, 0 = 3*s + 3*k + 9. Suppose s = 7*g - 15*g + 1992. What is the remainder when g is divided by 18?
15
Suppose b - 8 - 22 = 0. Suppose 5*k - 2*f + b = 0, 3*k - f + 24 - 7 = 0. Calculate the remainder when 70 is divided by 20/(-15)*54/k.
16
Suppose 55 - 397 = -2*q. Let u = 194 - q. Calculate the remainder when 86 is divided by u.
17
Suppose 0 = -3*z + z + 8. Suppose -4*x + 5*s + 69 = 0, -2*s = x - 4 + 3. What is the remainder when 159/(-2)*z/(-6) is divided by x?
9
Let i(c) = 8*c**2 + c - 6. Let l be i(2). Let b = 28 - l. Suppose 3*y - 2*d - 78 = b, y - 3*d - 14 = 12. Calculate the remainder when 47 is divided by y.
21
Let p = 386 - 343. Suppose 26*t = p*t - 476. What is the remainder when 61 is divided by t?
5
Let q = -46 - -14. Let p = q - -43. Let i(j) = 8*j - 37. Calculate the remainder when 98 is divided by i(p).
47
Let u(v) = v**2 + 5*v - 4. Let d be u(1). Suppose -15*b - d = -16*b. Suppose 4*n = n + 9. What is the remainder when n is divided by b?
1
Let i = 18241 + -17902. Calculate the remainder when i is divided by 57.
54
Let v = 3919 + -3885. What is the remainder when 211 is divided by v?
7
Let u(h) = 73*h**3 + h**2 - 18*h + 16. Calculate the remainder when u(1) is divided by (-4)/(-14) + (-658)/(-98).
2
What is the remainder when 22903 is divided by (39/(-6)*(-65 + 57))/(8/2)?
10
Suppose -155*g + 936 = -150*g + 4*t, -4*t = g - 200. What is the remainder when g is divided by 29?
10
Calculate the remainder when (-523)/((-43)/28 - (-72)/56) is divided by 191.
182
Let i(s) = 4*s**2 - 35*s - 2103. What is the remainder when i(-43) is divided by 38?
34
Let a be (-6)/(-18) - 255/9. Calculate the remainder when (-1365)/a - 9/12 is divided by 26.
22
Suppose 0 = -3*t + 4*o + 61 + 49, 32 = t + o. Let x(g) = g - 78. Let v be x(15). Let j = v + 71. What is the remainder when t is divided by j?
2
Let r(m) = -3*m**3 + 41*m**2 - 24*m - 20. What is the remainder when 239 is divided by r(13)?
5
Suppose -5*z + 2*l = 7*l - 385, 2*z = -4*l + 152. Suppose z = 8*s - 90. Calculate the remainder when 209 is divided by s.
20
Suppose -2 - 2 = -n, 0 = 5*i - 3*n - 253. Suppose 6 = i*b - 50*b. What is the remainder when b + (-84)/45 + 6590/75 is divided by 15?
13
Let b be 30/(-45) + (-574)/(-6). Let l be (-99)/(-4) - (5 - 102/24). Suppose -29*u = -l*u - b. Calculate the remainder when 27 is divided by u.
8
Let u be (-1728)/(-3) + (5 - 5). Let l = -157 + 178. What is the remainder when u/10 + (-16)/(-40) is divided by l?
16
Suppose 2*d - 5*p + 13 = 0, 2 = -2*d + 4*p - 10. Calculate the remainder when 29 is divided by 3 + -1 - d/2.
1
Suppose 2*d + 5*w - 146 = 4, -5*w + 270 = 4*d. What is the remainder when 338 is divided by d?
38
Suppose 0 = 5*y + 2*h - 52, y + 0*y - 3*h = 7. Suppose -1 + 349 = 4*s. Suppose 23 = y*b - s. What is the remainder when 43 is divided by b?
10
Let u = 5 - 52. Calculate the remainder when 5/(10/176) + 3 is divided by (-1 - u)*(-12)/(-24).
22
Suppose -k - 2*m + 96 = -205, 5*m = -2*k + 602. Suppose 18*c - 347 = k. What is the remainder when 465 is divided by c?
33
Let o(z) = -z**3 - 74*z**2 + 158*z + 468. Suppose 0 = -p + 9 + 17. Calculate the remainder when p is divided by o(-76).
2
Let c be (-1678)/2 - (-7 - -8). Let l = c - -935. Calculate the remainder when l is divided by ((-6)/8)/((-3)/96).
23
Let r(d) = -5*d + 304. Let o(l) = -l + 76. Let y(t) = 9*o(t) - 2*r(t). Let z = 13 - 6. What is the remainder when y(-9) is divided by z?
4
Suppose 0 = -0*v + v - 28. Let q = -20 + v. Suppose q*f + k = 3*f + 120, -96 = -4*f + 2*k. Calculate the remainder when f is divided by 9.
6
Suppose -30*l = 38*l - 64*l. Calculate the remainder when (-1 - l)*(-26)/2 is divided by 3.
1
Suppose -3*f = 6 - 51. Let m be (6/9)/((-4)/(-18)). Suppose 128 = 4*v + m*t + t, -2*v + 44 = -2*t. Calculate the remainder when v is divided by f.
12
Suppose -42*g + 34*g = 0. Suppose 5*d - 5*q - 120 = g, 4*d - 50 = -4*q + 62. Calculate the remainder when 120 is divided by d.
16
Let r be (2 + -2)*1/(-3). Suppose i = -j + 4*i + 42, r = -5*j + 5*i + 190. Calculate the remainder when 43 is divided by 230/18 - 4/j*-2.
4
Let i(a) = -2*a**3 - 9*a**2 - 7*a - 9. Let f(q) = q**3 + 3*q**2 - 18*q - 5. Let u be f(-6). Calculate the remainder when i(u) is divided by 15.
6
Let h = -1 + 6. Let s(r) = -r**2 + 22*r - 12. What is the remainder when s(20) is divided by h?
3
Let a = 11090 + -11084. What is the remainder when 918 is divided by a?
0
Suppose -6*i + 35 + 55 = 0. Suppose -14*k = i*k - 435. Let q(z) = 2*z**2 + 4*z - 1. What is the remainder when q(-5) is divided by k?
14
Let h be 68/9 - (-260)/585. Suppose 0 = 3*u - h*u - 2*r + 219, -r = -4*u + 183. What is the remainder when u is divided by 27?
18
Suppose 34*j - 1451 = 29*j + 4*z, 0 = 2*j + 3*z - 608. What is the remainder when j is divided by 66?
31
Suppose 2*i = 3*i - 0*i. Suppose i = 146*k - 143*k - 66. Calculate the remainder when 417 is divided by k.
21
Let d(y) be the third derivative of -11*y**4/24 + 74*y**3/3 - 84*y**2. What is the remainder when d(-25) is divided by 53?
52
Let z be (-2 - (-1 + -1))/2. Suppose -q + 3 + 1 = z. Suppose -2*h = -4*b - 64, -5*b + 140 = q*h + 25. What is the remainder when 86 is divided by h?
26
Suppose 2*r - 93 = 5*a - 5, -a = 2*r - 112. Suppose -2903*n = -2881*n - 220. Calculate the remainder when r is divided by n.
4
Let l(k) = -4*k - 16. Let g be l(-4). Suppose -2*s + 3*s - 3 = g. Suppose -4*o + 7 = u, 0*u - 2*o + 21 = s*u. Calculate the remainder when 61 is divided by u.
5
Let k(b) = -46*b - 254. Suppose -7*j - 90 = 2*j. What is the remainder when k(j) is divided by 10?
6
Suppose 26*t - 810 = 204. Suppose -t*k + 14351 = 3548. What is the remainder when k is divi