Let a = 88 - j. What is the remainder when 83 is divided by a?
40
Let t(p) = -5*p**3 - 254*p**2 - 83*p - 146. What is the remainder when t(-51) is divided by 23?
18
Let f(t) = 24*t**2 - 117*t + 30. Calculate the remainder when f(7) is divided by 78.
75
Suppose -74*d + 3591 = -34*d + 23*d. What is the remainder when d is divided by 5?
2
Let f(d) = 3*d - 9. Let m be 11 - 7 - (-6 + 2 - -2). Let w be f(m). Suppose -3*p = -w, n + 3*p - 90 = -26. What is the remainder when n is divided by 30?
25
What is the remainder when 3721 is divided by 4 - (-36*5 + -12)?
193
Suppose 3*n + 16 = 67. Suppose -17*f = 2*m - 13*f - 1070, m + f = 531. Let k = m - 524. What is the remainder when n is divided by k?
2
Suppose -5*r = -s - 41, 2*r = -6*s + 3*s - 72. Let w = 40 + s. Suppose 715 - 3443 = -22*p. What is the remainder when p is divided by w?
12
Let t(d) = d**3 + 3*d + 25. Let f be t(0). Let r = f - 18. Let k = 32 - r. Calculate the remainder when k is divided by 7.
4
Let u(w) = 3771*w**3 + 4*w**2 - 8*w + 3. Calculate the remainder when u(1) is divided by 1254.
8
Suppose -5*x = -16 - 14. What is the remainder when 55 is divided by 214/30 - x*6/270?
6
Let i be (-66)/(-15) + -1 - 4/10. Suppose 0 = -5*h - i*t + 161, -11*t - 52 = -2*h - 6*t. What is the remainder when h is divided by 16?
15
Suppose 0 = 34*p - 31*p + 1086. Let i = -352 - p. What is the remainder when 97 is divided by i?
7
Let i(n) = -13*n - 192. Let a be i(-15). Suppose 2*v + s - 63 = -3*v, -a*v = 4*s - 31. Calculate the remainder when 337 is divided by v.
12
Suppose 0 = -6*k + 9*k + 15, 0 = -5*x - 2*k + 590. What is the remainder when 2518 is divided by x?
118
Let z = 20 - 4. Suppose 0 = -2*b + l + 184, 495*b + 5*l + 465 = 500*b. What is the remainder when b is divided by z?
11
Suppose -12*y - 6 = -10*y, 4*f - 71 = 5*y. Suppose -773*g + 96 = -771*g. What is the remainder when g is divided by f?
6
Suppose 40 = t + 34*l - 29*l, 2*l - 88 = -4*t. Calculate the remainder when 2776 is divided by t.
16
Let a(q) = q**3 - 15*q**2 + 34*q - 89. Calculate the remainder when 4824 is divided by a(13).
9
Let w be (-15 - -12)/(0 + -3). Calculate the remainder when 45 is divided by 29*(w - (-1 + 1)).
16
Suppose 18*o + 315 = 5*b, 5*o + 163 = 4*b - 89. What is the remainder when 578 is divided by b?
11
Let r be 3*2*(-3 + (-18)/(-12)). Let o(b) = 3*b**2 + 20*b - 2. Let k be o(r). Let j = -42 + k. Calculate the remainder when 36 is divided by j.
17
Let z = 101 + -74. Let k(w) = w**2 + 2*w - 1. Let d = -22 + 12. Calculate the remainder when k(d) is divided by z.
25
Suppose -s + 2*c + 1 = -10, 2*s - 5*c = 26. Calculate the remainder when 262 is divided by s*(-8)/(72/(-201)).
61
Suppose -27*b + 29*b + 3*z - 551 = 0, 0 = 3*b + 5*z - 826. What is the remainder when b is divided by 240?
37
Let p be ((-38)/(-14) - 3) + (-187)/7. Let a = p + 80. What is the remainder when a is divided by 9?
8
What is the remainder when (-2)/(-13) + (-9136)/(-104) is divided by ((-3)/15)/((-33)/3795)?
19
Suppose 17*i - 67187 = -228415. Calculate the remainder when i/(-14) - (-27)/(-63) is divided by 40.
37
What is the remainder when ((-22086)/99)/(6/(-32)) - 4/(-22) is divided by 150?
140
What is the remainder when 7 - (11 + -6) - -180 is divided by 163?
19
Suppose -17*r = -r + 10176. Let x = -624 - r. What is the remainder when 347 is divided by x?
11
Suppose 4*o = -c + o + 61, 2*c - 122 = 3*o. What is the remainder when 182 is divided by c?
60
Suppose -7*y - 58 + 2 = -532. Calculate the remainder when 4826 is divided by y.
66
Let v(a) = a**2 - 2*a + 1. Let b be v(-3). Suppose -b*o = -19*o + 33. Calculate the remainder when 17 is divided by o.
6
Calculate the remainder when (44 + 3)*(582 + 80) is divided by 29.
26
Suppose -3*x = 15, x - 164 = -5*j + 211. What is the remainder when 600 is divided by j?
68
Let b(f) = 2*f - 16. Let v be b(17). Suppose -2*t + v = 5*i, -3*i - 25 = -2*t + 9. Calculate the remainder when 113 is divided by t.
1
Let p(k) = k**3 + 42*k**2 + 64*k - 40. Let q be p(-40). Suppose -q = -4*i - 20*i. What is the remainder when 61 is divided by i?
11
Let x(d) = -15*d - 21. Let m(f) = -3*f + f - 4*f - 2*f - 10. Let t(q) = 5*m(q) - 3*x(q). Calculate the remainder when t(12) is divided by 26.
21
Suppose 297 = -2*o - b + 98, -4*o - 423 = -3*b. Let c = -67 - o. Calculate the remainder when 209 is divided by c.
34
Suppose 4*i - 3*k + 3 = 0, 22*k = -3*i + 20*k + 2. Suppose i = -j - 3*m + 143 + 187, -3*m + 1302 = 4*j. Calculate the remainder when j is divided by 65.
64
Let h(b) = 2*b**2 - 14*b - 128. Let r be h(-28). Calculate the remainder when (-10)/4 + (-12 - r/(-16)) is divided by 41.
18
Calculate the remainder when 54 + ((-18)/8)/(87/232) is divided by (-9 - 1)*(-24)/12.
8
Let l = 9268 + -9119. Calculate the remainder when l is divided by 45.
14
Let a = 1079 + -1056. Calculate the remainder when (-375)/(-4) + (-4)/(-48)*3 is divided by a.
2
Suppose 0 = h - 4 - 0, -3*y = -3*h - 351. What is the remainder when 2174 is divided by y?
117
Let i(g) = g**3 - 29*g**2 + 121*g + 66. Calculate the remainder when 343 is divided by i(24).
73
Suppose -18*i + 53 + 37 = 0. Let d(b) = b**2 + 11*b + 13. What is the remainder when d(i) is divided by 16?
13
Let y(s) = s**2 - 93*s - 45538. What is the remainder when (2/2)/((-5)/(-255)) is divided by y(265)?
9
Suppose -5*v + 5*o + 1485 = 0, 0 = 5*v - 4*v - 4*o - 285. Suppose -2*r = -8, -42 = -b - 2*r + r. Calculate the remainder when v is divided by b.
35
Let m(z) = 2*z**2 + 8*z - 1. Let h(t) = t**3 + 48*t**2 - 2126*t + 182. What is the remainder when m(-8) is divided by h(-76)?
3
Let j = 73 + -54. Suppose 2*f - 3*g = -9, 0*g = -3*f + 4*g - 13. Calculate the remainder when f + 2 + 94 + 0 is divided by j.
17
Let g = 2077 - 2027. What is the remainder when g is divided by (-18)/((-1)/6*4)?
23
Suppose 165*w - 19043 = -18548. Calculate the remainder when 2/4 - (-38)/4 is divided by w.
1
Let z(w) = 51*w + 6185. What is the remainder when 1137 is divided by z(-99)?
1
Suppose 528*i = 521*i + 32382. What is the remainder when i is divided by 13?
11
Let r(q) be the second derivative of q**3/6 + 22*q**2 - 3*q - 3. What is the remainder when 195 is divided by r(-1)?
23
Let z(s) = 8*s**3 - 11*s**2 + 62*s - 134. Suppose 0 = f - 0*f - 37. What is the remainder when f is divided by z(2)?
7
Suppose 333*r = 716*r - 19150. Let z = 15 - -2. Calculate the remainder when r is divided by z.
16
Let k(l) = 7 - 12*l - 5*l + 7*l**2 + 17*l - 6*l. Suppose 3 + 64 = g. What is the remainder when g is divided by k(2)?
21
Let z(l) = 2*l**3 + 4*l**2 + 3*l - 4. Let a be z(-5). Let g = a - -456. Suppose 13*h = 783 - 143 + 114. Calculate the remainder when g is divided by h.
55
Suppose 185*x = -231*x + 41600. What is the remainder when 2392 is divided by x?
92
Let b(j) be the first derivative of -j**2 - 58*j + 263. What is the remainder when 75 is divided by b(-42)?
23
Suppose -7*w + 203 + 266 = 0. Let u be -3*((0 - -2)*-10 - 3). Suppose 2*c + c + 4*o = u, -5*o + 23 = c. What is the remainder when w is divided by c?
21
Let a(i) = 3326*i + 20. Let u be a(4). Suppose -34*f + 1602 = -u. What is the remainder when f is divided by 44?
43
Let m(i) be the third derivative of -i**4/3 + 2*i**3/3 + 3*i**2. Let z be (6 - 5) + 5 + -9. Calculate the remainder when m(z) is divided by 5.
3
Let s = -47 + 63. Suppose 0 = -11*o + s*o - 95. What is the remainder when o is divided by 8?
3
Let k = -37 - -70. Suppose -11*w - 1005 = -2798. What is the remainder when w is divided by k?
31
Let v = -43 + 51. Let o(z) = -3*z**3 - 5*z**2 + 9*z + 10. Calculate the remainder when o(-5) is divided by v.
7
What is the remainder when (-23299)/(-26) - (-1278)/(-11076) is divided by 437?
22
Let u = 136 - 41. Calculate the remainder when u is divided by -4*(1/4)/(2/(-28)).
11
Let l = -82 + 8. What is the remainder when (l/(-3))/((-3 - -4)/6) is divided by 50?
48
Let y(o) = 2*o + 12. Let g be y(-15). Let m = g - -21. Suppose 15 = -11*l + 6*l, m*i + 5*l - 258 = 0. What is the remainder when i is divided by 19?
15
Suppose 0 = -4*h - z + 16, -2*h + 5*z - 7 = 7. Suppose 0*k = 2*k + 8, h*c + k - 344 = 0. Let w = c + -102. Calculate the remainder when 25 is divided by w.
11
What is the remainder when 6460 is divided by (95850/70)/15 + (-6)/21?
90
Let x(u) = -185*u + 1124. Le