 when 277 is divided by 50 + -3 + (46 - 33).
37
Suppose 5*l - 88 = -t, -4*l + 3*l + 390 = 4*t. Suppose 19*z - 3*z - 240 = 0. Calculate the remainder when t is divided by z.
8
Let u be -2 - (-14 - -6) - 3. Suppose 90 = 5*b - f, -3*b - u*f = -16 - 20. Suppose -337 + 7 = -5*w. What is the remainder when w is divided by b?
15
Let u(r) = 2*r**2 + 8*r. Let g be u(-4). Suppose g = -4*l + 12, 6*l - 2*l - 25 = -f. Calculate the remainder when 259 is divided by f.
12
Calculate the remainder when ((-216)/(-96))/((-3)/(-2456)) is divided by 6.
0
Let w be ((-6)/(-5))/(3/10). Suppose w*p = -3*t + 84 + 54, -3*t + 4*p = -162. Calculate the remainder when 195 is divided by t.
45
Suppose -8705 - 7807 = -64*m. What is the remainder when m is divided by 48?
18
Let h(u) = -34*u + 343. Let r(q) = q + 2. What is the remainder when r(2) is divided by h(10)?
1
Let p(u) = -26*u + 349. Let z be p(13). Suppose 38*d - z*d = 3024. Calculate the remainder when d is divided by 55.
2
Let o(v) be the second derivative of 7*v**5/20 - v**4/4 + 13*v**3/6 - 12*v**2 + v - 1. Calculate the remainder when 60 is divided by o(2).
14
Let p = 1389 - 1035. What is the remainder when p is divided by 114?
12
Suppose 0 = -5*g + 5 + 10, 0 = 3*p - g - 60. Let m = p - -28. Let s = 59 - m. Calculate the remainder when 16 is divided by s.
6
What is the remainder when (132 - 110) + 4 + 441 is divided by 57?
11
Suppose 0 = -4*h - 4*u + 32, 0 = -5*u + 1 + 4. Suppose h = -41*w + 42*w + b, w + 8 = 4*b. What is the remainder when 42 is divided by w?
2
Calculate the remainder when 2/(-4*(-8)/(2*2408)) is divided by 77.
70
Let k(t) = 79*t**2 + 17*t + 11. What is the remainder when k(-6) is divided by 27?
26
Let h be (4/11)/((-18)/(-99)). What is the remainder when (-160)/(-24)*54/h is divided by 61?
58
Let i be (-6372)/351 + ((-2)/(-13) - 0). Calculate the remainder when (1 + i/3)*-17 is divided by 23.
16
Suppose 181*q + 299 = 186*q + 4*h, 4*h = -8*q + 488. What is the remainder when q is divided by 41?
22
Suppose 17*o - 2339 = 2815 + 3023. What is the remainder when o is divided by 21?
19
Let w(m) = -6*m**2 + 3*m + 15. Let t(l) = 1. Let g(j) = -j - 6. Let p be g(-11). Let r(q) = p*t(q) - w(q). What is the remainder when 52 is divided by r(-2)?
12
Calculate the remainder when 1312 is divided by 690/207 + 28*(-3)/(-18).
0
Let x(k) = -3*k**3 + 4*k**2 - 5*k - 41. Suppose 10*w + 232 - 192 = 0. Calculate the remainder when x(w) is divided by 20.
15
Suppose 3*t - 591*x = -587*x + 757, -1092 = -4*t - 5*x. Let q(b) = -b + 19. What is the remainder when t is divided by q(0)?
16
Let b = 12 - 12. Suppose o - 9 = -2*x - b, 3*o - 9 = 3*x. Suppose 0*j = -4*u - 3*j + 536, 667 = o*u + 3*j. What is the remainder when u is divided by 27?
23
Let l(p) = -6*p**2 - 33*p - 34. Suppose o = 2 - 0. Calculate the remainder when ((-3)/o)/(6/(-16)) is divided by l(-4).
0
Let v = 4 + 83. Let j be -102 - (-5 - (0 - 4)). Let m = j - -112. Calculate the remainder when v is divided by m.
10
Let k(r) = -154*r + 52. Calculate the remainder when 79 is divided by k(0).
27
Let f = 24 - 22. What is the remainder when (-3612)/(-32) + (-1)/(-8) is divided by (29/2)/(1/f)?
26
Let h = 1074 + -935. Suppose -h = -2*x + 35. Calculate the remainder when x is divided by 30.
27
Let o(l) = -170*l**2 - 7145*l - 23. Calculate the remainder when 2241 is divided by o(-42).
184
Suppose 3*l + 1000 = 4*h, 4*h - 183*l + 181*l - 1004 = 0. What is the remainder when h is divided by 9?
1
Let c = -3689 - -3881. Calculate the remainder when 2108 is divided by c.
188
Let l(k) = 3*k + 28. Let v be l(-11). Let u(m) = -34*m - 40. Calculate the remainder when u(v) is divided by 27.
22
Let u(k) = -35*k**3 - 212*k**2 - 9*k + 19. Calculate the remainder when 660 is divided by u(-6).
0
Suppose -g = -13 - 3. Suppose g*b = 19*b - 15. Suppose 191 = 2*u + b*w, 4*w + 20 = -0*w. What is the remainder when u is divided by 22?
20
Let n(l) = 4*l**3 - 59*l**2 + 28*l - 4. Calculate the remainder when n(15) is divided by 65.
56
Let g(s) = 915*s + 4578. Let b(d) = -d**3 - 4*d**2 - 3*d + 4. Calculate the remainder when b(-3) is divided by g(-5).
1
Let v(j) = -j**3 + 3*j - 2. Let o be v(2). Let a(t) = 3*t + 123. Calculate the remainder when a(-17) is divided by (52/(-5))/(o/10).
20
Let r(f) = -f + 16. Let a be r(10). Suppose j = -a*j - 441. Let x = j - -98. Calculate the remainder when 102 is divided by x.
32
Let n be (-3)/15 - (-126)/60*12. Suppose -65 - n = -2*k. Suppose 0 = 5*y - 4*m - 26 - 26, 0 = -3*y + 3*m + 30. What is the remainder when k is divided by y?
9
Suppose -76*n = -74*n - 14. Suppose n*s = c + 4*s - 74, -6 = -3*s. Calculate the remainder when c is divided by 29.
22
Let p = 254 - 228. Let v(b) = b**2 - b - 3. Let a be v(3). What is the remainder when 888/18 + 2/a is divided by p?
24
Let p(s) = 1363*s**3 - 4*s**2 + 12*s - 9. What is the remainder when p(1) is divided by 21?
18
Let h = -172 - -230. Let r = 17 + h. What is the remainder when r is divided by 38?
37
Suppose -t + 59 = 4*h, -2*t + 4*t - 6 = 0. Let z = 19 + h. Calculate the remainder when z is divided by 17.
16
Let a(w) = 80*w - 4569. What is the remainder when a(75) is divided by 104?
79
Suppose 29*t = 31*t - 208. Suppose 3*k - 103 = t. Calculate the remainder when k is divided by 48/(-36)*54/(-4).
15
What is the remainder when -11 - (-47)/((-94)/(-5700)) is divided by 12?
7
Let u = -635 - -647. Let x(p) = p**2 + 8*p + 7. Let r be x(-7). Suppose l + 4*b - 39 = r, b + 25 = l + 6. What is the remainder when l is divided by u?
11
Let u(l) = -7 + 7 - 16*l - 12*l. Suppose 4*m - 8*m = -32. Calculate the remainder when u(-1) is divided by m.
4
Let l(f) = 4*f - 14. Suppose 0 = -a - 4*i + 67, 71 = -2*a - 4*i + 197. What is the remainder when a is divided by l(11)?
29
Let r = 20 - -1. Suppose b - r = -17. Suppose -3*l + 6*l = 0, b*u + 3*l = 232. What is the remainder when 171 is divided by u?
55
Let u = 10 - 0. Let j = 1365 - 1319. What is the remainder when j is divided by u?
6
Suppose 13*q = 24 + 28. Suppose -q*l = -4*r - 52, 4*l - 57*r + 61*r = 52. What is the remainder when -2 + 2 + -2 - -156 is divided by l?
11
Suppose -23*c = -30*c + 344 + 160. What is the remainder when 228 is divided by c?
12
Let a be (-9 - -13)*2/4. Let i be (10 - 4) + 4 + -7. Suppose i*w - 59 = -s, 2*s = -a*w + 65 + 33. Calculate the remainder when s is divided by 17.
10
Let n be (-12)/15*(105/6)/(-7). Suppose n*g + 60 = 8*g. What is the remainder when 37 is divided by g?
7
Let u(g) = g**3 - 7*g**2 + 5. Let d be u(7). Let n = d + 14. Suppose -108 = 49*f - 3440. Calculate the remainder when f is divided by n.
11
Let n = -3538 - -5292. Calculate the remainder when n is divided by 126.
116
Let u(s) = s**3 - s**2 + 29*s + 27. Let x = -20 - -37. What is the remainder when u(0) is divided by x?
10
Suppose 131 = r + 86. Suppose -134 = -d + r. What is the remainder when d is divided by 26?
23
Suppose -16*s = 47*s - 15*s - 32016. Calculate the remainder when s is divided by 166.
3
Let w = 283 + -228. Suppose 177*j = 182*j - w. What is the remainder when 27 is divided by j?
5
Let c(h) = -3*h**2 + 66*h - 6. Let a be c(22). Let k(z) = -15*z - 56. What is the remainder when 62 is divided by k(a)?
28
Let q(c) = c**2 + 16*c. Let w be q(-24). Suppose 203*h = 207*h - w. Calculate the remainder when h is divided by 31.
17
Suppose 30*i = 545 + 535. Let z be (-150)/9 + (-1)/3. Let s = i + z. What is the remainder when 54 is divided by s?
16
Suppose 76*w - 7*w - 32499 = 0. What is the remainder when w is divided by (2 - -39 - 1) + 3?
41
Suppose -87*u - 7448 = -101*u. Let q = u + -359. Calculate the remainder when q is divided by 5.
3
Calculate the remainder when ((-3)/4)/(182/(-450372)*9/14) is divided by 9.
7
Let l(v) = v**3 + 30*v**2 - 3*v - 75. Let m(w) = 5*w - 3. Let y be m(1). Calculate the remainder when l(-30) is divided by 28/4 + y/2.
7
Let w(i) = i**3 - 394*i**2 - 401*i + 2409. Let a = 77 - -34. Calculate the remainder when a is divided by w(395).
33
Let x(h) = -5*h - 18. Let p be x(-4). Suppose 94 + 130 = p*n. What is the remainder when n is divided by 58?
54
What is the remainder when 55 is divided by 11/(-22)*(1218/(-3))/7?
26
Suppose -36*o + 9 = -33*o. Suppose 4*z - 2205 = -5*q, -z = 4*q - o*z - 1790. What is the remainder when q is divided by 28?
25
