y (-2)/((-15343)/2546 - (-7 - -1)).
74
Let p(n) be the first derivative of -2*n**3/3 + 20*n + 73. What is the remainder when 71 is divided by p(0)?
11
Suppose 3*f = 4*t + 804 + 4474, -3*f + 5273 = -5*t. Calculate the remainder when f is divided by 11.
6
Suppose -4*o + 5*z + 1240 = -1379, 3*z - 1998 = -3*o. Calculate the remainder when o is divided by 151.
57
Let t(p) be the third derivative of -p**6/120 + p**5/10 + 31*p**4/24 - 9*p**3/2 - 3*p**2 + 15*p. What is the remainder when 367 is divided by t(8)?
88
Let h(l) = -29*l**3 + l + 1. Let k(v) = -3*v + 49. Let p be (-8 - (0 + 3))/(-1 + 0). Calculate the remainder when h(-1) is divided by k(p).
13
Let t = 3171 - 3152. Calculate the remainder when 1269 is divided by t.
15
Suppose -10*w + 2926 = 24*w - 12*w. What is the remainder when w is divided by 35?
28
Suppose -142020 = 609*k - 654*k. What is the remainder when k is divided by 1554?
48
What is the remainder when -339 + 1219 - 0/2 is divided by 6?
4
Let k(v) = 288*v**2 + 23*v - 20. What is the remainder when k(2) is divided by 108?
98
Let s(n) = n**2 + 18*n - 66. Let i be s(-15). Calculate the remainder when 53 is divided by -1*9/12 - i/4.
26
Let m(y) = y**3 + 4*y**2 - 4*y - 4. Suppose -8*k = -48 + 24. What is the remainder when 137 is divided by m(k)?
43
Let z(b) = -5*b**2 + 166*b - 9. What is the remainder when 1263 is divided by z(33)?
15
Suppose 198 = -5*g - 4*w, -4*g - 138 - 27 = w. Let x = g - -57. Suppose -14*r + 15*r - x = 0. Calculate the remainder when 39 is divided by r.
9
Let y be ((-6)/2)/((2 + -7)/25). Suppose 5*m - y = -5*o, -5*o = m - 0*o + 5. What is the remainder when 13 is divided by m*15/100*4?
1
Suppose 11*l = 4*l + 492 - 464. Let g be (6 + -5)*(-34 - -1). Let o = -6 - g. What is the remainder when o is divided by l?
3
Let x = -1694 + 1818. Calculate the remainder when x is divided by 15.
4
Suppose -6 = -w - y + 188, 2*w + 4*y = 382. What is the remainder when 1169 is divided by w?
184
Let u = 1932 + -1784. Let p be (93/(-2))/(9/(-24)). Suppose -5*b + 26 = -p. Calculate the remainder when u is divided by b.
28
Let y be -1 - 3*(-2 + 0). Suppose -y*r = -10*r - 10. Calculate the remainder when 31 is divided by (-1)/(((-1)/(-2))/(-11 - r)).
13
What is the remainder when (-24)/(-420) + (-41508)/(-35) is divided by 588?
10
Suppose 345*x - 346*x = 6, 0 = -3*t + x + 177. Calculate the remainder when 2747 is divided by t.
11
Suppose -h = -4*m - 1, 0*m - 2 = m - 2*h. Calculate the remainder when (30/4)/((-4)/(-8) + m) is divided by 6.
3
Suppose 0 = -4*w + 4*s + 128, 4*w - 4*s = -s + 124. Let o(h) = -h**2 + 25*h - 8. Let f be o(6). Let p = 215 - f. What is the remainder when p is divided by w?
25
Let p = -14462 - -14551. Calculate the remainder when 7475 is divided by p.
88
What is the remainder when 1075 is divided by (858/(-104))/(((-36)/(-32))/(-3))?
19
Suppose 4*y - 208 = -12. Suppose -50*q + 413 = -y*q. What is the remainder when q is divided by 52?
49
Let k be (-2)/(-11) - (-675)/99. Suppose 3*a - 61 = -k. What is the remainder when a is divided by 1/(-4 - 105/(-25))?
3
Let o = 23 + -18. Suppose -y = -6*y + o*d + 115, -2*y + 3*d + 50 = 0. What is the remainder when 2*(-9)/(-15) - 1392/(-40) is divided by y?
17
Suppose 0 = 60*r - 8*r - 936. What is the remainder when 43 is divided by r?
7
Let i = 289 + 2867. What is the remainder when i is divided by 17?
11
Let m = -367 - -373. Let n = 866 - 834. What is the remainder when n is divided by m?
2
Let v = 115 - 38. Let m = v - 76. Let x(g) = 13*g**3 - g**2 + 4*g - 3. Calculate the remainder when 102 is divided by x(m).
11
Suppose 0 = -99*q + 90*q + 234. Suppose q*o - 23*o = 6, -d = 3*o - 39. What is the remainder when 72 is divided by d?
6
Let c(w) = 22*w + 3. Calculate the remainder when (-2469)/(-12) + ((-1349)/76 - -18) is divided by c(3).
68
Let h = 18531 - 18509. Let b(d) = 2*d**3 - 5*d**2 - 2*d - 2. Calculate the remainder when b(4) is divided by h.
16
Suppose 89*g - 20436 = 153*g - 76*g. What is the remainder when g is divided by 28?
23
Let j = -116 - -168. Let v = 32 + j. Calculate the remainder when 155 is divided by v.
71
Calculate the remainder when 5899 is divided by (8/9)/(((-925)/450)/(-37)).
11
Suppose 41 = 22*c - 91. What is the remainder when 1420 is divided by c?
4
Suppose 0 = 4*c + z - 433, 3*z + z = -c + 112. Calculate the remainder when c is divided by 55.
53
Let z = 117 - 72. Suppose 101 + 139 = 3*n. Suppose -63*w - 221 = -n*w. Calculate the remainder when z is divided by w.
6
Suppose -2096 + 2052 = -2*g. What is the remainder when 1241 is divided by g?
9
Let k(f) = 7*f**3 - 2*f**2 + 4*f. Let p be k(2). Let l be -7 + 5 + p - 4. Suppose -l = -2*j + 80. What is the remainder when j is divided by 6?
5
Let n(j) = -j**3 + 12*j**2 + 14*j - 5. Let p be n(13). Let k = 25 - 13. Calculate the remainder when (-3)/((-12)/(-14))*p*-2 is divided by k.
8
Let h(a) = a**3 + 12*a**2 + 14*a + 373. Suppose -47 + 12 = -5*f + 5*k, -k - 1 = 0. What is the remainder when h(-13) is divided by f?
4
Let b(r) = r**2 + 12*r + 14. Let d be (-2)/(-5) - (-16)/10. Suppose -53 = -2*j - 3*s - 37, -d*s = 4*j - 40. What is the remainder when j is divided by b(-11)?
2
Calculate the remainder when -2617*44/(-76) + 42/(-399) is divided by 1498.
17
Suppose 3*n = 77 + 34. Suppose -917*u - 644 = -931*u. Calculate the remainder when u is divided by n.
9
What is the remainder when (-920)/1104 + (-2357)/(-6) is divided by 186?
20
Let i be 3 + (-3 - 60/(-2)). Let a be i/12*56/10. Suppose -12*j + a*j - 30 = 0. What is the remainder when j is divided by 6?
3
Suppose 3*s - 133 - 32 = 0. Suppose 3*n = -2*o + 45, 5*o - s = -2*n + 30. What is the remainder when o is divided by 4?
3
Let y = 813 + -696. What is the remainder when 1176 is divided by y?
6
Let l = 172 + -18. Let f(i) = 214*i - 5940. Calculate the remainder when l is divided by f(28).
50
Let s = 62 + 11. Suppose 13 - 48 = -5*f + 2*z, -f + 3*z = -7. Suppose -19 = -a + f. Calculate the remainder when s is divided by a.
21
Let b(w) = 6*w**2 + 57*w + 182. What is the remainder when 442 is divided by b(-4)?
42
Suppose 3*x = -2*x. Suppose -2*h + x*j - 4*j + 8 = 0, 5*h - 5*j = 80. Calculate the remainder when h is divided by 3 - (-6 - -10) - (-3 + -1).
0
Let r(o) = 11*o - 42. Let a be r(4). Suppose 0*v - a*v = -32. What is the remainder when 31 is divided by v?
15
Let a(b) = -b + 34. Suppose 0 = -3*q + 5*g + 790, q + 2*g = -q + 532. Suppose -13*n + q = -1932. What is the remainder when n is divided by a(0)?
33
Let q = 767 + -543. What is the remainder when 2235 is divided by q?
219
Let h = 190 - 86. Let l = h - 99. What is the remainder when 12 is divided by l?
2
Let x = 12103 - 10657. Calculate the remainder when 1452 is divided by x.
6
Suppose 13 - 384 = -7*b. Let g = 68 + -68. Suppose -20*o + 319 + 241 = g. What is the remainder when b is divided by o?
25
Let o = -1592 + 3032. Let l = -16730 - -16794. What is the remainder when l is divided by 2/(-11) - o/(-55)?
12
Calculate the remainder when (-4 - -8)/((-16)/(-9452)) + 1 is divided by 1182.
0
Let b = -159 + 570. What is the remainder when b is divided by 57?
12
Suppose 5*h + 630 = -r, 234 = -5*h + 3*h - 4*r. What is the remainder when (h - -121)*41*(-5)/2 is divided by 28?
27
Suppose 3*z + 4 = q, 5*q + 0*z - 5*z - 60 = 0. Let r = 165 - 155. Let v = 37 + r. Calculate the remainder when v is divided by q.
15
Suppose -25 = 5*r, o = -0*o + 5*r + 89. Let w = o + -62. Suppose -w*n = s - 2*s + 11, 0 = -5*s + 3*n + 62. What is the remainder when 24 is divided by s?
11
Suppose 2*g + 3*m - 34 = -2*g, g - 3 = 2*m. Calculate the remainder when 179 is divided by g + 38 - (-1)/1.
41
Suppose -894*a + 5810 = 5*z - 889*a, -1168 = -z - 3*a. Calculate the remainder when z is divided by 377.
28
Suppose 258*g - 218*g = 4240. What is the remainder when 320 is divided by g?
2
Let h be (2 + 16)/(9 + 28/(-4)). Let f(z) = z**3 - 8*z**2 - 3*z - 26. What is the remainder when 60 is divided by f(h)?
4
Let g(s) = -s + 74. Suppose -6*w + 114 = 24. What is the remainder when g(30) is divided by w?
14
Let i(v) = 4*v**2 + 13*v + 198. What is the remainder when i(23) is divided by 8?
5
Let m(n) = -n**3 - 27*n**2 - 61*n - 129. What is the remainder when 304 is divided by m(-25)?
12
Suppose -56*s = -243 - 541. What is the remainder wh