ivided by n.
29
Suppose 44*f - 2736 = 2964 - 1872. Suppose -y + 15 = 4*s + 2*y, -8 = -2*s - 2*y. Let i = s + 7. Calculate the remainder when f is divided by i.
7
Suppose 9*i = -4*i - 156. Let s(j) = -j**3 - 11*j**2 + 7*j - 19. What is the remainder when s(i) is divided by 28?
13
Let s = 127 - 91. Suppose 5*p - 25 = l + 402, -3*l + 249 = 3*p. Calculate the remainder when p is divided by s.
13
Let z(o) = -2*o - 20. Let v be z(-13). Let h(l) = -5 + 2377*l**3 + v*l**2 + 7*l + 12*l**2 - 2375*l**3. What is the remainder when h(-7) is divided by 48?
46
Let q = -48 - -50. Suppose -7*d + q*d = d. Calculate the remainder when 4 is divided by 1/((0 - d) + 1).
0
Suppose -37332 + 4340 = -8*c. What is the remainder when c is divided by 15?
14
Suppose 0 = -8*l + 7 - 39. What is the remainder when 61 is divided by (30/l)/((-85)/102)?
7
Suppose 3*a = 0, -4*y = -6*a + a - 172. What is the remainder when 193 is divided by y?
21
Suppose -12*d - 212 = -4*k, 5*d + 58 = k - 3. What is the remainder when 518 is divided by k?
26
Suppose 12432 = 10273*g - 10257*g. What is the remainder when g is divided by 202?
171
Suppose -716*t + 703*t = -572. Calculate the remainder when t is divided by 40.
4
Let l(h) = 6*h**2 - 24*h + 7. Let i(k) = 6*k**2 - 29*k + 8. Let r(q) = -5*i(q) + 6*l(q). Calculate the remainder when 24 is divided by r(0).
0
Suppose 670 = 2*y + 4*b, -y - b + 347 = 3*b. What is the remainder when y is divided by 95?
38
Suppose 0 = -2*y + 4*h + 74, 2*y + 3*h - 84 = 25. Calculate the remainder when 2020 is divided by y.
46
Suppose -694*g + 740*g = 9384. What is the remainder when 230 is divided by g?
26
Let x = 40 + -31. Let u(b) = b**2 - 26*b - 9. Calculate the remainder when u(27) is divided by x.
0
Calculate the remainder when 1354 is divided by (-132)/(-6)*((-1)/9 + (-38570)/(-1260)).
12
Let y = 208 + -65. Suppose -y = -2*n - 151. Let j(a) = -22*a - 6. Calculate the remainder when j(n) is divided by 28.
26
Let b = -377 + 213. Let k = b + 288. Calculate the remainder when k is divided by 42.
40
Let y(m) = m**3 - 2*m**2 - 6*m - 6. Let r(d) = -d**2 - 11*d - 40. Let q be r(-4). Calculate the remainder when y(5) is divided by (((-44)/q)/((-3)/9))/(-1).
6
Suppose -3154 = -5*r - 5*l + 4*l, 4*r = 3*l + 2508. Suppose 4*w = -17*w + r. What is the remainder when 208 is divided by w?
28
Let k(f) = 20*f - 89. Let p = -126 + 159. What is the remainder when k(11) is divided by p?
32
Let v(p) = -p**3 + 16*p**2 - 7*p - 58. Let y be v(11). Suppose -87*o + y = -77*o. What is the remainder when 55 is divided by o?
8
Suppose -9*a - 937 = -12286. Calculate the remainder when a is divided by 79.
76
Let a = -85 + 109. Let i = -364 + 211. Let t = i + 320. What is the remainder when t is divided by a?
23
Let f(l) = -61*l + 6910. Calculate the remainder when f(17) is divided by 245.
238
Suppose 58 - 46 = a. Let r(c) = c**2 - 3*c + 3. Suppose -5*z = -20 - 20. Calculate the remainder when r(z) is divided by a.
7
Let u = -68 - -72. Let s be 30/20 + 122/u. Let w = -20 + s. What is the remainder when 57 is divided by w?
9
Let o be (-4)/(-16) + 490/(-40). Let r(j) = -j**3 - 12*j**2 - 6*j - 4. What is the remainder when r(o) is divided by 29?
10
Let j(a) = 6*a + 22. Let k be j(-3). Let u be -19 - -81 - -2*2/k. Suppose u*p - 17 = 62*p. What is the remainder when 116 is divided by p?
14
Let z = -18 - 136. Let c = -92 - z. Suppose -44 = -2*q + 2*u, 0 = -2*q + 5*u + c - 6. What is the remainder when q is divided by 7?
4
Suppose 337*n - 352*n = -555. Calculate the remainder when n is divided by 6.
1
Suppose -3*s + 12 = 3*s. Let a be 3/(-9)*(-60)/5. Suppose 6 = -s*f - 3*m + 58, -a*m = -2*f + 38. Calculate the remainder when 43 is divided by f.
20
Let q = -2376 + 2423. What is the remainder when 102 is divided by q?
8
Let u be (-1862)/6 - 8/(-12)*-1. Let x = -273 - u. What is the remainder when x is divided by 20?
18
Suppose -27*m = 13486 - 14134. Calculate the remainder when -1 - (0 - 2 - 93) is divided by m.
22
Suppose 5*d = m - 964, 4*d = m - 127 - 836. What is the remainder when m is divided by 189?
14
Let l = 47 - 25. Suppose 8*d - 2 = l. What is the remainder when ((-2)/d)/(6/(-171)) is divided by 8?
3
Suppose 0 = -5*d - w + 273 + 2021, -5*w = -3*d + 1410. Calculate the remainder when d is divided by 18.
10
Suppose 2*i = -15955 + 16253. Calculate the remainder when 423 is divided by i.
125
Let n = -3081 + 3330. What is the remainder when n is divided by 12?
9
Suppose 25 = 5*z - 3*n - 96, 10 = -5*n. Suppose 4*b - r - 36 = 0, 2*r = 5*b + z - 68. Calculate the remainder when ((-18 - 2) + -3)/(-1) is divided by b.
5
Suppose -1 = -3*u + 11. Let k be -3 - (-1 - -3) - -226. Suppose k = 10*x + 3*x. What is the remainder when x is divided by u?
1
Suppose -93 = 4*h + 371. Let f = h - -122. Calculate the remainder when 29 is divided by f.
5
Let w(g) = 8*g - 5. Let i(n) = -n**3 + 10*n**2 - 15*n - 4. Let k be i(8). Calculate the remainder when -2 + (1885/20 - 1/4) is divided by w(k).
11
Suppose -71*c + 75*c = 596. Let b = -108 + c. What is the remainder when b is divided by 15?
11
Let h(k) = 399*k**2 + 68*k + 323. Calculate the remainder when h(-5) is divided by 60.
58
Suppose 4*u - 5412 = 8*f - 9*f, -4*f = 0. Suppose -3*t = 2*r - 649, u = 4*r + t - 6*t. What is the remainder when r is divided by 113?
106
Suppose -12 = -3*m + 75. Suppose -2*t - 178 = -d, -101*d + 73*d - 3*t + 4630 = 0. What is the remainder when d is divided by m?
21
Suppose -26*j + 259 = -19*j. Suppose 39*l - 42 = j*l. What is the remainder when 51 is divided by l?
9
Suppose -10*w + 56*w - 9982 = 0. Suppose w = 2*v + 4*z + z, v + 2*z - 111 = 0. Calculate the remainder when v is divided by 31.
28
Let t(w) = 20*w**2 - 2*w - 2. Let d(i) = 111*i**2 - 3014*i + 6025. Calculate the remainder when d(2) is divided by t(2).
71
Suppose -30*s - 172 = -622. What is the remainder when 20/8*(5 - (-201)/s) is divided by 12?
10
Suppose -p + 0*x = x - 29, 2*p - 88 = 4*x. Let q = p - 7. Let o = q - 0. Calculate the remainder when o is divided by 4.
3
Let t(n) = 3*n + 34. Let o be t(-10). Let h(d) = d**3 + 8*d - 13. What is the remainder when h(4) is divided by 351/12 + (-1)/o?
25
Let i = -276 + 277. What is the remainder when (0 - 4)*i*(-81 + -6) is divided by 35?
33
Suppose 20*z - 288 = -28. Let u = 17 - 16. Calculate the remainder when u*(0 + -50)/(-2) is divided by z.
12
Let u = -19 - -37. Suppose 3*h + 6*i - 8*i = 25, 5*i + 17 = h. What is the remainder when u is divided by h?
4
Suppose 391 + 579 = 10*f. Suppose f*s = 91*s + 210. Calculate the remainder when s is divided by 21.
14
Let r = -17933 + 20645. Calculate the remainder when r is divided by 60.
12
Let o = 68 + -95. Let q(w) = -w + 26. What is the remainder when 261 is divided by q(o)?
49
Let r(n) = -9*n - 381. Suppose -5*b + 5*p = 2*p - 519, -b + 3*p + 99 = 0. Calculate the remainder when b is divided by r(-46).
6
Let v(s) = -3 - 5*s + 10*s - 3*s - s**2 + 2*s**2. Suppose 41*a - 171 = -7. Calculate the remainder when v(-6) is divided by a.
1
Let w be 0 + 2 + 0 + 0. Let k = 377 + -374. Suppose -5*z + 205 = -k*q, -57 + 9 = -z + w*q. Calculate the remainder when z is divided by 8.
6
Let y be (-2)/((-7)/((-1827)/(-516)) + 2). Let v = y - -97. What is the remainder when 35 is divided by v?
5
Let m = -261 - -154. Let o = m - -140. What is the remainder when 194 is divided by o?
29
Let p be 2/(-10) - 189/(-45). Suppose -33 = -3*x + 5*s, 3*x + 3*s - 21 = p*s. What is the remainder when 15 is divided by x?
3
Suppose -r + 317 = -3*k, 8*r + 642 = 10*r - 2*k. What is the remainder when 986 is divided by r?
17
Suppose q = -m + 206, 0 = 103*q - 102*q + 5*m - 206. Calculate the remainder when 8239 is divided by q.
205
Suppose -3*y - 13792 = 2*b + 13641, 5*b - 36585 = 4*y. What is the remainder when 95 is divided by y/(-177) - 5/3?
45
Let a(d) = d**3 - 22*d**2 + 14*d - 42. Let f be a(23). Let x = f - 522. What is the remainder when x is divided by 12?
11
Let o be 5 - 0*(2 + -1). Suppose -856 = 552*p - 5113 - 1263. What is the remainder when 128/o + (-8)/(-20) is divided by p?
6
Calculate the remainder when 1394/5*2 - 82/(-205) is divided by (450/360)/(1/16).
18
Suppose 18 = -15*v - 12. Let d = v - -22. Let n(o) = -17*o - 27. What is the remainder when n(-12) is divided by d?
17
Suppose -116 - 168 = -4*t. 