by m.
22
Let h = 11305 - 11093. Calculate the remainder when 502 is divided by h.
78
Suppose -s + 4*l - 168 = -5*s, -4*s + 150 = -2*l. Let t(x) = -6*x - 6. Let v be t(-3). Suppose u - 3*u = -v. What is the remainder when s is divided by u?
3
Let k(n) = -n**3 - 16*n**2 - 15*n + 2. Let o be k(-15). Let q = 14 + o. Suppose -14*p - 74 = -q*p. Calculate the remainder when 108 is divided by p.
34
Let n = 74 + -51. Let c(q) = -2*q**3 + 48*q**2 - 46*q + 22. What is the remainder when n is divided by c(23)?
1
Let f(q) = -q - 1. Let x be f(-5). Suppose 3*j + 5*c + 70 = 4*j, 5*j = -x*c + 408. Calculate the remainder when j is divided by 9.
8
Let v(l) = -14*l**3 + 196*l**2 + 13. Calculate the remainder when 87 is divided by v(14).
9
Let n = -15749 - -16667. Calculate the remainder when n is divided by 187.
170
Let o(w) be the second derivative of w**4/4 - w**3/3 - w**2 + 18*w. Let a be o(3). Let k = a + 15. Calculate the remainder when k is divided by 12.
10
Let a(p) be the first derivative of -p**3/3 - 26*p**2 + 74*p - 189. What is the remainder when a(-37) is divided by 21?
20
Let q(c) = 219*c - 1257. Calculate the remainder when 1023 is divided by q(6).
54
Let f(w) = 6*w**2 - 125*w - 76. Let t be f(21). Let z = -8 + 90. Let d = t + z. What is the remainder when 132 is divided by d?
24
Let d = 28920 - 28897. What is the remainder when 836 is divided by d?
8
Let n(r) = -11*r + 679. Calculate the remainder when n(-5) is divided by 67.
64
Let y be (12/(-10))/(98/(-245)). Suppose -y*r + 15 = -141. Calculate the remainder when 204 is divided by r.
48
Let g be (-8826)/36 - 13/(-78). Let x = g + 264. Calculate the remainder when x is divided by 3/(-9) - 25/(-3).
3
Let u be ((-156)/(-16))/((-11)/(-132)). Suppose -600 = -7*g - u. Calculate the remainder when g is divided by 20.
9
Let h(p) = -23*p - 1. Suppose 2*u + 23 - 17 = 0. Suppose 95 = 45*d - 40*d. What is the remainder when h(u) is divided by d?
11
Let v = -132 + 141. Calculate the remainder when 276 is divided by v.
6
Let y = -30 + 75. Suppose 6*w - 15 = -y. What is the remainder when (w - -1) + 843/3 is divided by 56?
53
Suppose 0 = 3*v - 12. Suppose -v*x + 6 = -7*x, -4*p = -3*x - 106. What is the remainder when 77 is divided by p?
2
Let u(t) = 4*t**2 - 16*t + 5. What is the remainder when u(-6) is divided by 127?
118
Suppose 265881 + 56651 = 389*z + 42841. What is the remainder when z is divided by 9?
8
Let n(l) = -12*l + 4. Let c(p) = 48*p + 3489. Calculate the remainder when n(-3) is divided by c(-72).
7
Suppose 0*a + 21*a - 105 = 0. Suppose -y + 5*w + 762 - 305 = 0, a*y + w = 2337. What is the remainder when y is divided by 59?
54
Let h(z) = 2*z**2 - 6*z + 9. Let x be h(2). Suppose t - x = 2. Suppose -t*n + 120 = -n. What is the remainder when n is divided by 7?
6
Suppose -4*p - 96 = -112. Calculate the remainder when 35 is divided by (p/6)/(-5 - (-62)/12).
3
Suppose -4*h + 109 = -15. Let b = h - 20. What is the remainder when 60 is divided by b?
5
Let z = 61271 - 45459. What is the remainder when z is divided by 251?
250
What is the remainder when 50 is divided by 0 - (-35 + 15 - -6)?
8
Suppose 78*u = 83*u - 1020. Calculate the remainder when u is divided by 19.
14
Suppose 11*u + 379 = 456. Let d(z) = z**3 + 4*z**2 + 4*z + 3. Let l be d(-2). Suppose 13 + 23 = l*s. What is the remainder when s is divided by u?
5
Let a(p) = p**2 + 12*p - 85. Let b be a(5). Suppose b = 16*h + 83 - 563. Calculate the remainder when 239 is divided by h.
29
Suppose -5*w + 70 = 5*w. Suppose 5*k - w = 13. Let s(a) = 6*a**2 - 10*a + 1. What is the remainder when s(k) is divided by 10?
7
Suppose -25 = -26*i + 21*i. Suppose -i*h + 2 = -73. What is the remainder when 29 is divided by h?
14
Let l = 10390 - 10177. Calculate the remainder when 2126 is divided by l.
209
Suppose -i - 4*i - 2*r = -374, 5*r = -5*i + 365. Calculate the remainder when i is divided by (804/(-8))/3*(13 + (-255)/17).
9
Let d = 17318 + -17246. What is the remainder when d is divided by (0 - 74)*9/(-18)?
35
Let o = -248 + 353. Suppose 0 = -28*m - 1122 + 4286. What is the remainder when m is divided by o?
8
Let d = 3188 - 2952. What is the remainder when d is divided by 24?
20
Suppose -161*k - 2*w + 300 = -157*k, 0 = 4*k + 3*w - 292. Calculate the remainder when ((-1)/1 - -2) + 164 is divided by k.
7
Suppose 76*f + 2599 - 18969 = -1702. Calculate the remainder when 1916 is divided by f.
179
Let j(l) = -2*l**3 + 138*l**2 - 137*l + 198. Calculate the remainder when 444 is divided by j(68).
54
What is the remainder when 1207 is divided by -10*4/70*(12 + -33)?
7
Let h(o) = -2*o + 86. Suppose -n = -8 - 2. Suppose -2*r - 2*j + 16 = -n, 2*j = 3*r - 29. What is the remainder when r is divided by h(41)?
3
Let i be (-16)/(-32) - (-514)/(-4). Let l = 134 + i. What is the remainder when 36 is divided by -1*3*(-44)/l?
14
Let u be (-2)/(-5) - (84/(-35))/(-6). Suppose u = -2*y - 40 + 124. Calculate the remainder when y is divided by 9.
6
Suppose 6349*y - 6344*y = 2700. What is the remainder when y is divided by 109?
104
Let s = -90 + 95. Suppose 0*t = 2*i + 5*t - 14, s*t = 10. Let m(l) = 10*l - 13. What is the remainder when 18 is divided by m(i)?
4
Suppose -414 = -836*v + 830*v. Let z be 186/3*-1 + -1. Let d = v + z. Calculate the remainder when 6 is divided by d.
0
Suppose -7*a + 49 = 4*f - 2*a, 5*a = 25. Let h = -1207 + 1286. Calculate the remainder when h is divided by f/24 - (-83)/4.
16
Let b(g) = 15*g + 1148. What is the remainder when b(-65) is divided by 12?
5
Suppose 0*g + 25 - 81 = -g. What is the remainder when 1115 is divided by g?
51
Suppose 75*j = 74*j. Suppose -3*z + 3 = j, -6*a = -a - 4*z - 216. Calculate the remainder when 216 is divided by a.
40
Suppose 4*y - 22 + 6 = 0. Suppose -152 = -3*i + y*z, 210 = 4*i + 5*z - 3*z. Calculate the remainder when i is divided by 34.
18
Let q = 820 - 668. What is the remainder when q is divided by 73?
6
Suppose 10*f = 7740 - 120. Calculate the remainder when f is divided by 59.
54
Suppose -f + 2710 = -4*y, -82 = 3*y - 79. Calculate the remainder when f is divided by 21.
18
Let w(b) = 32*b**3 + 1184*b**2 - 11*b + 19. Calculate the remainder when w(-37) is divided by 127.
45
Let o(h) = 40*h + 148. Let f be o(-4). Calculate the remainder when 53 is divided by (-12)/(f/3) - (0 + -13).
5
Suppose 0 = 5*m - 4*l + 714 + 1694, 481 = -m + l. Let k = m + 570. What is the remainder when k is divided by 29?
28
Suppose 18*l = 19*l + 2*n - 11714, -l - 4*n = -11730. Calculate the remainder when l is divided by 100.
98
Suppose -k = 3*b + 10, 16*b + 5 = 15*b. Let d = k - -199. What is the remainder when d is divided by 41?
40
Suppose 0 = 160*l + 9706 - 20837 - 19429. What is the remainder when 246 is divided by l?
55
Suppose 0 = -12*u + 8*u + 496. Let k = u - 101. Calculate the remainder when 45 is divided by k.
22
Let w(u) = -u + 6. Let n be w(3). Suppose 0*s - s - 14 = 3*v, -n*v - 17 = -2*s. What is the remainder when 100 is divided by 6/(-15) + (-132)/v?
22
Calculate the remainder when 2401 is divided by 8 - ((-7)/(7/51) + -46 + 40).
61
Let u(d) = d**2 - 7*d - 30. Let o be u(-3). Suppose 3*h + o*r + 3*r - 132 = 0, 25 = -5*r. Calculate the remainder when h is divided by 26.
23
Let d = 627 - 959. Let y = d - -370. Calculate the remainder when y is divided by 6.
2
Let x(n) = 11*n**2 - 11*n - 14. What is the remainder when 196 is divided by x(-2)?
40
Suppose 41*w = -5*g + 39*w + 5739, 5*g = 3*w + 5754. What is the remainder when g is divided by 53?
36
Let a(v) = -v**2 - 32*v + 137. Let g(o) = -2*o**2 - 66*o + 274. Let r(q) = -9*a(q) + 4*g(q). Calculate the remainder when r(-31) is divided by 44.
36
Let v be 1/2 + (-1)/2. Suppose v = 5*r + 2*b - b - 1281, 1 = b. Suppose -5*a + r = -a. Calculate the remainder when a is divided by 33.
31
Let o(c) = -6*c**2 + 126*c + 7. Suppose 637 = 10*b + 47. What is the remainder when b is divided by o(21)?
3
Let o = -7373 - -7524. What is the remainder when 726 is divided by o?
122
Let q = 7307 - 7293. What is the remainder when 1655 is divided by q?
3
Let i(t) = -38*t - 256. What is the remainder when 469 is divided by i(-7)?
9
Let w = 5 - -25. Suppose -250 + 31 = -73*i. Suppose 3*b + 26*g - 624 = 31*g, i*g - 624 = -3*b. Calculate the remainder when b is divided by w.
28
Suppose 0 = -5*m - 5*d - 855, 