1
Let s(c) = 1078*c - 13839. What is the remainder when s(14) is divided by 30?
23
Let r(b) = -45*b - 87. Let t be r(-2). What is the remainder when -1 - (-7 - t)*18 is divided by 37?
31
What is the remainder when 169 is divided by 28 + -1 - (-144)/24 - 8?
19
Let r(d) = -2*d**3 + 18*d**2 + 2*d - 4. What is the remainder when 9239 is divided by r(9)?
13
Suppose -3*p = 2*j - 184, 4*j + 4*p - 368 = -p. Suppose 5*w - 252 = -j. What is the remainder when (-379)/(-3) + (-2)/6 is divided by w?
30
Suppose -2*o + 3*o - 902 = 0. Suppose -2*u - 6*s = -8*s - o, -u + 449 = -3*s. What is the remainder when u is divided by 19?
15
Suppose -4*n = -p - 244, 0*p = -3*n + 5*p + 166. Calculate the remainder when 5641 is divided by n.
61
Suppose -3*a - 2793 = -4*b, b - 41*a = -36*a + 694. Calculate the remainder when b is divided by 136.
19
Suppose -606 = -4*h + 3*u, -5*u + 31 = 61. What is the remainder when 737 is divided by h?
2
Let b = 195 - 121. What is the remainder when b is divided by (1/((-3)/(-9)))/(450/1650)?
8
Suppose -119 = -25*g + 8*g. Calculate the remainder when 47 is divided by g.
5
Let q = 36658 - 36347. What is the remainder when q is divided by 24?
23
Let g(q) be the third derivative of -q**5/30 + 19*q**4/8 - 5*q**3 + 208*q**2. Calculate the remainder when g(27) is divided by 4/(-14) + 200/14.
9
Suppose -x + 154 = -d, -4*d = -3*x + 8*x - 806. Suppose -59*p + 2810 - 528 = -491. What is the remainder when x is divided by p?
17
Let u = 4473 - 4425. What is the remainder when 395 is divided by u?
11
Let c = -12503 - -12526. Calculate the remainder when 3518 is divided by c.
22
Suppose 13*d = 5*p + 16*d - 7, 0 = 5*p + 2*d - 8. Let w(s) = 7*s**3 + 3*s**2 - 5*s + 9. What is the remainder when 266 is divided by w(p)?
65
Let d(f) = 5*f**2 + 12*f + 16. Let n be d(-2). Suppose n*h = -730 + 8614. What is the remainder when h is divided by 94?
93
Suppose 51 = 3*b + 4*i, -5*b - 56 = i - 175. Calculate the remainder when 295 is divided by b.
20
Suppose 0 = 71*t - 77*t - 4*b + 1396, 3*t = -3*b + 705. What is the remainder when 816 is divided by t?
132
Let g(u) = -240*u - 463. What is the remainder when 2793 is divided by g(-2)?
5
Let s be (30/40)/(3/148). Suppose 0 = 3*h - 5*b - 50, s*h + 13 = 38*h + 2*b. Calculate the remainder when 190 is divided by h.
10
Suppose 3*a - 3009 = -20*a + 6*a. Let f = 21 - -15. Calculate the remainder when a is divided by f.
33
Let t(w) = w**3 + 15*w**2 + 13*w + 6. Suppose 16*g + 11 = -213. What is the remainder when 52 is divided by t(g)?
12
Suppose 5*y - 1415 = 2*h, 5*y = -2*h + 821 + 614. Calculate the remainder when 286 is divided by y.
1
Let w = -121 + 213. Let u be 2/5 - w/(-20). Suppose 2*o = -u*f + 78, -5*f = 4*o - 160 + 14. Calculate the remainder when o is divided by 18.
16
Suppose -8089 = -5*p - 7869. Suppose -5*j - 289 = -c - c, 2*j + 586 = 4*c. Calculate the remainder when c is divided by p.
15
Let u(s) be the second derivative of 5*s**3/3 + 3*s**2/2 - 2*s. Let k(c) = -c. Let z(r) = -k(r) + u(r). Calculate the remainder when z(5) is divided by 10.
8
Suppose 437*i + 15 = 442*i. Suppose -2*r + 9 + 0 = 5*x, 4*r - 51 = x. What is the remainder when r is divided by i + -7 - (-6 + -2)?
0
Let t = -1 - 3. Calculate the remainder when 127 is divided by (-1 - t) + -10 + 57.
27
Calculate the remainder when (-19277)/(-25) - ((-30)/33 + 1088/1100) is divided by 18.
15
Let k(t) = -10*t + 3. Let u = 272 - 273. Calculate the remainder when 231 is divided by k(u).
10
Let v be 10/(-50) - (-3602)/10. Suppose s = -2*m - 2 + 83, -4*s + v = -4*m. What is the remainder when s is divided by 13?
9
Suppose -12*q - 23*r + 79 = -28*r, -4*r - 3 = -q. What is the remainder when 54 is divided by q?
5
Let a(b) = -14*b**3 + b**2 + 2*b - 6. What is the remainder when 179 is divided by a(-2)?
73
Let j(l) = 101*l + 423. What is the remainder when j(22) is divided by 53?
48
Suppose 16*q - 19*q - 11366 = -5*j, 0 = j + 3*q - 2284. Calculate the remainder when j is divided by 4.
3
Let x be -2 + (-1)/(192/39 + -5). Suppose 4*z - 61 = -x*p + 10*p, 0 = p + z - 64. What is the remainder when p is divided by 22?
21
Let t = 194 - 190. What is the remainder when 4/t*(-3 + 13) is divided by 3?
1
Suppose 3816 + 5497 = 3*r - 2*x, 2*r + 5*x - 6215 = 0. What is the remainder when r is divided by 42?
39
Let x = -573 + 589. Suppose -397 = -36*r + 1799. Calculate the remainder when r is divided by x.
13
Suppose 5*y = -7*k + 4*k + 27, 29 = 3*y + 5*k. Suppose -y*r - w - 131 = -7*r, -w = -2*r + 67. Calculate the remainder when r is divided by 9.
5
Let j = -16867 + 33346. What is the remainder when j is divided by 201?
198
Suppose 0 = 5*c + 30*c - 105. Suppose c*j - 21*s - 121 = -23*s, -5*s + 10 = 0. Calculate the remainder when 70 is divided by j.
31
Suppose -30 - 15 = 3*d. Let j be (-10)/d*(147 + 0). Suppose 0*n - 4 = 2*n, -2*n + j = 3*o. What is the remainder when o is divided by 5?
4
Let j(l) = -l**2 - 25*l - 8. Let k be j(-17). Let a = k - 82. Let n = 25 + -13. What is the remainder when a is divided by n?
10
Suppose 5*q - 236 + 211 = -4*u, 46 = 4*u + 2*q. Calculate the remainder when 3265 is divided by u.
10
Suppose -132 = 25*r - 532. What is the remainder when 2141 is divided by r?
13
Suppose 159*b + 410 = 160*b. Let o = b - 332. Calculate the remainder when o is divided by 29.
20
Let i be (-1 + 937)*(52 + -53). What is the remainder when 38 is divided by i/(-66) + (-4)/22?
10
Let u(v) = v**3 + 15. Let j(w) = w**2 + 7*w. Let h be j(-7). Calculate the remainder when 49 - (6/(-11) - 3240/(-495)) is divided by u(h).
13
Let z(l) = -l**3 + 33*l**2 + 109*l - 26. What is the remainder when 3*5/(-15) + 130 is divided by z(36)?
9
Calculate the remainder when -2 - -200 - 10/1*147/(-245) is divided by 30.
24
Suppose -18 = -0*f + 3*f. Let q(d) = 3*d**2 + 14*d - 3. Let c(v) = -40*v**3 - 2*v - 1. Calculate the remainder when c(-1) is divided by q(f).
20
Suppose 0 = 243*o + 1639 - 13743 - 7579. What is the remainder when 711 is divided by o?
63
Let l = -2827 - -4586. What is the remainder when l is divided by 57?
49
Calculate the remainder when (2400/(-56))/((-4)/28*1) is divided by 31.
21
Suppose 0 = 5*c + d - 744, 2*c + 2*d - 300 = d. Let v = 274 - c. Let m = v - 96. Calculate the remainder when 58 is divided by m.
28
Let d = 3279 + -3190. Calculate the remainder when 667 is divided by d.
44
Suppose 8*u - 12*u = -408. Let m = u + -49. Let t = 2154 - 2145. Calculate the remainder when m is divided by t.
8
Let z be (-6)/9 - -2 - 8086/(-78). Let m = -30 + z. Calculate the remainder when m is divided by 11.
9
Let r(n) = 5*n**2 + 196*n - 328. Calculate the remainder when r(-45) is divided by 216.
113
Suppose 564*d + 269872 = 665*d. What is the remainder when d is divided by 38?
12
Let k(z) = 44*z - 30. Let h be k(7). Let d = h + -227. Calculate the remainder when d is divided by 18/(-12)*(-9 + -1).
6
Let q = -10251 + 11814. Calculate the remainder when q is divided by 521.
0
Let b = 122 + 61. What is the remainder when b is divided by 1056/72*3 + (-2)/(2/5)?
27
Suppose -3*a = -3*n + 156, n + n = -3*a + 89. Let g(y) = -y**3 - 23*y**2 + 68*y - 19. Calculate the remainder when g(-26) is divided by n.
45
Let v = -266 - -303. Let n(g) be the third derivative of g**5/20 - g**4/2 + 2*g**3 - 2*g**2. Calculate the remainder when n(9) is divided by v.
36
Suppose 5*j + 2*k = 301, -3*k = 3*j - 6*k - 189. Suppose 144 = 9*o - 198. Calculate the remainder when j is divided by o.
23
Let z(h) = -h**3 - 22*h**2 - 106*h + 85. What is the remainder when z(-6) is divided by 10?
5
What is the remainder when (-20 - (-585)/30)*-5380 is divided by 100?
90
Let y = -9 + 7. Let g = 2804 + -2795. What is the remainder when (22 - 0) + y + 4 is divided by g?
6
Suppose 0 = -2*v - 2*a + 238 - 178, -4*v - a = -111. Calculate the remainder when v is divided by 4/((-4)/(-9)) + -2.
6
Suppose -3*k + 8*k = 250. Let d(w) = -5*w**2 + 9*w + 13. What is the remainder when k is divided by d(2)?
6
Suppose -3*w - n + 115 = -93, 277 = 4*w + n. Suppose 20 = 22*k - 18*k, 4*f - 76 = 4*k. What is the remainder when w is divided by f?
21
Suppose -5*s + 43 - 38 = 0, -3*s = 2*n - 123. What is the remainder when 17 is divided by 20/6*n/25?
1
Suppose -17*u + 712 + 1613 = 183. What is the remainder when 4029 is divided by u?
123
Suppose 