ulate the remainder when 160 is divided by f.
50
Suppose 304530*a - 9860 = 304510*a. What is the remainder when a is divided by 128?
109
Calculate the remainder when 2851 is divided by ((5 - 3) + -3)/(5/(-195)).
4
Suppose 165 - 53 = 7*a. Suppose -6*y = -a*y + 1250. What is the remainder when y is divided by 63?
62
What is the remainder when (-1252)/(-28) - (-4)/14 is divided by (-4)/(-20)*(55 - -10) - 1?
9
Let t(c) = -17*c**2 + 460*c + 33. Calculate the remainder when 104 is divided by t(27).
44
Let m(d) be the first derivative of -d**2 + 8 + 2*d - 12 + 12*d + 13*d. What is the remainder when m(7) is divided by 10?
3
Let b be (-16)/12*(-15)/4. Suppose 4*y + 4*j = 36, -b*y - 7 = -j - 52. What is the remainder when y is divided by 7?
2
Suppose 38*u + 197 = 4*i + 41*u, 5*i - 4*u - 223 = 0. Calculate the remainder when 559 is divided by i.
42
Let u(m) = -51*m - 2947. What is the remainder when u(-111) is divided by 14?
12
Suppose 43 - 215 = -2*l. Let x = 292 - 289. What is the remainder when l is divided by (4/(-1))/(x*10/(-165))?
20
Suppose 103*h - 107*h - 2*m + 200 = 0, 5*h - 4*m = 237. Calculate the remainder when 186 is divided by h.
39
Let s be 40/6*3/4. Let w = s + 4. Suppose 8*v + 8 = w*v. Calculate the remainder when 14 is divided by v.
6
Let l(i) = -82*i + 1585. What is the remainder when 161 is divided by l(19)?
26
Let c(y) = -11*y - 37. Let x be c(-4). Suppose 29*q + 704 = x*q. Let w = 4 - q. Calculate the remainder when 140 is divided by w.
32
Let k(t) = 2*t**2 - 75*t - 816. What is the remainder when k(-10) is divided by 72?
62
Suppose -v - 4*q = 13, -16 = q + 3*q. Let c(h) = 62*h**v - 61*h**3 + 8*h**2 + 7*h + 9 - h**2. What is the remainder when 69 is divided by c(-5)?
21
Suppose -70*c + 72*c = 30. Suppose -784 = -22*x + c*x. Let g(v) = v**2 + 2*v + 4. Calculate the remainder when x is divided by g(-5).
17
Let o(v) = -2*v**3 - 6*v**2 + 60*v + 233. What is the remainder when o(-7) is divided by 117?
88
Let m = -653 + 672. Calculate the remainder when 3266 is divided by m.
17
Let p(k) = -k**2 - 90*k - 1218. What is the remainder when p(-45) is divided by 401?
5
Suppose 3643 + 13362 = 5*w. Suppose w = 16*r + 3*r. What is the remainder when r is divided by 30?
29
Let l = -127 + 152. Let d = l - -3. What is the remainder when d is divided by 8?
4
Calculate the remainder when 68 is divided by (20/20)/(-3)*-9.
2
Let m(w) = -w + 14. Let a(p) = -2*p + 11. Let n be a(-5). Let j be m(n). Let x = 86 + j. Calculate the remainder when x is divided by 9.
7
What is the remainder when 4/16*0 + (5 + 39 - -11) is divided by 4?
3
What is the remainder when 1325 is divided by (627/(-22))/(45/(-300))?
185
Suppose r + 5*x - 20 = 11, 4*x = 20. Let j = 731 - 722. What is the remainder when j is divided by r?
3
Let z = 148 + -141. Calculate the remainder when 62 is divided by z/2 - (-1)/2.
2
Suppose 0 = -t + 2*m + 174, -m - 128 = 2*t - 471. Let f = t - 158. Calculate the remainder when 35 is divided by f.
7
Let z(x) = 123*x**2 + 685*x + 8. Calculate the remainder when z(-10) is divided by 39.
37
Let n(q) = -2*q**3 + 13*q**2 + 7*q + 3. Let y be n(7). Suppose 5*m + 159 = y*h, -h = -4*m - 43 - 17. What is the remainder when h is divided by 18?
12
Let c(r) = -r**3 + 5*r**2 - 3*r - 5. Let n be c(4). Let z(p) = -45*p + 1 - 17*p - 26*p. What is the remainder when z(n) is divided by 6?
5
Suppose -3*j = -1227 + 1140. Let v = -87 + 163. Let l = v + j. What is the remainder when l is divided by 9?
6
Suppose 2*f + 3*d - 31 = 8*d, -5*d - 47 = -4*f. Suppose -31*x = f*x - 15678. Calculate the remainder when x is divided by 101.
99
Let o(d) = 182*d - 447. Calculate the remainder when o(4) is divided by 70.
1
Suppose -8 = 2*a, 0 = -2*c - 0*c + 8*a + 1770. Calculate the remainder when c is divided by 29.
28
Let d = -5206 - -6182. What is the remainder when d is divided by 20?
16
Let f(x) = -x**2 + 57*x - 410. What is the remainder when 327 is divided by f(47)?
27
Suppose 947 - 4358 = -9*u. Calculate the remainder when u is divided by 43.
35
Let v = 402 + -397. Suppose 127 = 4*d - v*o, 142 = 18*d - 14*d - 2*o. What is the remainder when d is divided by 5?
3
Let m be 0/(-1 - (-1)/(-1)). Suppose m = 8*f - f. Suppose n - 18 = 4*d, -n - d - 2 + 25 = f. What is the remainder when n is divided by 8?
6
Let r(g) = g**3 - 21*g**2 + 8*g + 95. What is the remainder when r(21) is divided by 57?
35
Let i(n) = -190*n - 8468. Calculate the remainder when i(-48) is divided by 219.
214
Calculate the remainder when 16765 is divided by 3/2*(-14 - (8 + -20)) + 131.
125
Let b = 1473 + -1462. Calculate the remainder when 2483 is divided by b.
8
Let h = -27893 - -29131. Calculate the remainder when h is divided by 398.
44
Let d = 679 - 675. Suppose -174 = -5*v + d*h, -v + 2*v + 2*h = 46. Calculate the remainder when v is divided by (-1)/(-3) - 41/(-3).
10
Suppose -22*v + 392 + 510 = 0. Calculate the remainder when 156 is divided by v.
33
Let m be -10*((-79)/(-10) + -8). Let p(n) = 4*n**3 - 2*n**2 - 3*n + 4. Calculate the remainder when 4 is divided by p(m).
1
Let y = 2772 + -2613. Suppose 29 = b + 2. Calculate the remainder when y is divided by b.
24
Suppose 2*r + 8 = 0, 19 + 5 = 4*t - 4*r. What is the remainder when 1/t + (-3284)/(-8) is divided by 59?
57
Let n(y) = 7*y - 6*y - 5*y + 27 + 2*y. Suppose -9*s + 5*s + 184 = 0. What is the remainder when s is divided by n(10)?
4
Suppose 537 - 2337 = 12*k. Let a = 233 + k. Calculate the remainder when a is divided by 5.
3
Suppose -33*i - 5*c = -28*i - 14165, 0 = -5*i + 2*c + 14137. What is the remainder when i is divided by 10?
9
Let t(a) = -a + 41. Suppose 34*q + 84 = 41*q. What is the remainder when t(-6) is divided by q?
11
Let n = 1322 + -1317. Calculate the remainder when 362 is divided by n.
2
Let x = -2002 - -1175. Let h = -819 - x. What is the remainder when 118 is divided by h?
6
Let u be (4/2)/(2/106). Suppose 5*w - u = 219. What is the remainder when w is divided by (-4)/(-22) + (-34272)/(-3168)?
10
Suppose -1 - 7 = 4*g. Let f(y) = -8*y**3 - 3*y**2 - y - 1. Let a(s) = -104*s - 2268. Calculate the remainder when f(g) is divided by a(-22).
13
Let i(l) = -l**3 - 13*l**2 + 31*l + 13. Let c be i(-15). Calculate the remainder when -1 + c*1 + (17 - 11) is divided by (-26)/(-10) - (-6)/(-10).
1
Suppose 3*d + 101 = 2*m, -3*m + 48 = -4*d - 104. Suppose -5*s = 8*n - 212, 3*s + 417 = n + 376. Calculate the remainder when m is divided by n.
23
Suppose -133*a + 44*a = -2581. What is the remainder when -42*(2/(-6) + -1) is divided by a?
27
Suppose -3*h = -5*c - 1714 - 177, 5*h = 4*c + 3130. Suppose 110 = p - 3*u - 52, 4*p - h = -u. What is the remainder when p is divided by 20?
16
What is the remainder when (2 - -8)*((-2226)/35)/(-3) is divided by 45?
32
Suppose 5 = -6*m + 23. Suppose -m*l + 0*l - 2*x + 38 = 0, 47 = 4*l - x. Suppose r + 2*r = l, -5*r + 39 = a. Calculate the remainder when 52 is divided by a.
14
Let w(f) = 16*f + 72. Let q be w(6). What is the remainder when (-1 + -54)*(4 - q/30) is divided by 19?
12
Suppose 60*o = -4*x + 57*o + 6391, 4*o = 3*x - 4787. Calculate the remainder when x is divided by 1590.
7
Let s = 215 - 149. Calculate the remainder when 140 is divided by 6 + (s - 2)/2.
26
Suppose -x + 2*k + 63 = 0, 3*x - 205 = -9*k + 7*k. Suppose 44 = -q + x. Let n = 73 + -5. What is the remainder when n is divided by q?
22
Suppose k + 2*d - 6*d = -259, -295 = k + 5*d. Let r = 294 + k. Calculate the remainder when 72 is divided by r.
15
Let b = 13564 - 13471. Calculate the remainder when 174 is divided by b.
81
Suppose -5*k + 5*b + 2420 = 0, -5*k + 3*b + 976 + 1446 = 0. Let v = k - 470. Calculate the remainder when v is divided by 5.
0
Let u = 9598 - 9274. Calculate the remainder when u is divided by 111.
102
Suppose -58 = 3*x + 3*y - 166, x - 32 = 3*y. What is the remainder when 130 is divided by x?
25
Let g(w) = 54*w**2 + 30*w - 266. Calculate the remainder when g(10) is divided by 18.
16
Suppose 110 = v - 3*i, -4*v + 1402 = 5*i + 894. Calculate the remainder when 2073 is divided by v.
121
Let g(u) = -11*u + 201. Let z be g(18). Suppose 64*x = 66*x + 4*a - 144, -z*a + 395 = 5*x. Calculate the remainder when x is divided by 33/5 + 6/15.
5
Suppose 5*g + 3*c + 290 = 0, -4*g - 75 = 5*c + 144. Let a = g + 155. What is the remainder when a is d