- 9. What is the remainder when x(y) is divided by 43?
38
Let g(f) = -f**2 + 16*f + 274. Calculate the remainder when 1782 is divided by g(26).
4
Calculate the remainder when 12975/3 + 490/35 is divided by 11.
5
Let p = 8386 - 8366. What is the remainder when 73*(-1 + 2)*1 is divided by p?
13
Let f = -162 + 182. Let n = -46 + 125. What is the remainder when n is divided by 13/((-195)/f)*-15?
19
Let a = -13339 - -13450. Calculate the remainder when 339 is divided by a.
6
Suppose q + 0*q = 2176 - 143. What is the remainder when q is divided by 185?
183
Suppose -4*n + 2*c + 1002 = 0, -2546*c = -3*n - 2544*c + 755. Calculate the remainder when 1276 is divided by n.
41
Let j(r) be the first derivative of 16*r**3 - r**2 - 3*r + 86. What is the remainder when 177 is divided by j(-1)?
36
Suppose 4 = -13*k - 152. Let d be (-5)/((-20)/k)*(-157)/3. Suppose -263 = -4*j + d. What is the remainder when j is divided by 36?
33
Suppose -3 + 19 = 4*k. Let a(c) = -c**3 - 6*c**2 + 44*c + 48. Calculate the remainder when a(-10) is divided by k.
0
Let o = 1947 + -1853. Calculate the remainder when 455 is divided by o.
79
Suppose 5*l = -4*j + 172 + 449, 3*j + 663 = 5*l. Calculate the remainder when l is divided by 52.
25
Let l(b) = -b**3 + b**2 + 30*b + 49. Let q be l(-10). Suppose -27*r + q = -312. Calculate the remainder when 127 is divided by r.
41
Suppose 0*y - 5*p = 4*y + 9, -y + 2 = -3*p. Let j(m) = -74*m. Let o be j(y). Suppose 22*x = 23*x - o. What is the remainder when x is divided by 13?
9
Let s(i) = 4*i**3 - 4*i**2 + 4*i - 2. Let n = -17101 + 17340. Calculate the remainder when n is divided by s(3).
75
Let d(q) = -q**3 + q**2 + 2. Let v(o) = 3*o**2 + 5*o - 3. Let z be v(1). Suppose z = -r + 3. What is the remainder when 95 is divided by d(r)?
11
Suppose 5*z + 31*i - 52 = 28*i, 3*z = -12*i + 21. Calculate the remainder when 87 is divided by z.
10
What is the remainder when 349 is divided by (5 - (0 - -1))/((-876)/(-12921))?
54
Let h(l) = -l**3 - 3*l**2 + 38*l - 10. Calculate the remainder when 351 is divided by h(-8).
3
Let g = 54 + 4. Let m = 19 + g. What is the remainder when m is divided by (-1)/(-3) - (-94)/6?
13
Suppose -6*t = -3*l - 7*t + 632, l + 5*t = 192. What is the remainder when l is divided by 59?
35
Let k = 256 + -251. Suppose k*c + 3*h = 59, c - 21*h = -26*h + 3. What is the remainder when c is divided by ((-9)/6*-2)/1?
1
Let c = -686 - -1031. Calculate the remainder when c is divided by 71.
61
Let o = 450 + -185. What is the remainder when 810 is divided by o?
15
Let y = 33163 - 30640. Calculate the remainder when y is divided by 25.
23
Let i(c) = 111*c - 506. Calculate the remainder when i(8) is divided by 11.
8
Let n be (-60)/21*364/(-8). Suppose 0 = 5*y + 3*d - 122, 3*y - 8*y + n = 5*d. Calculate the remainder when 39 is divided by y.
17
Let x(m) = m**3 - 8*m**2 - m + 1. Let u be x(7). What is the remainder when 62 is divided by 9/(-15) + (-1793)/u?
30
Suppose 4*s = -3*m + 2880, 0 = -m + s - 2*s + 959. Calculate the remainder when m is divided by 24.
20
Let d = -5882 - -6292. Calculate the remainder when d is divided by 36.
14
Let u = 376 + -338. Suppose 13*m + u*m - 7242 = 0. What is the remainder when m is divided by 30?
22
Suppose 0 = -5*v - 4*s + 308, 15*s - 10*s - 190 = -3*v. What is the remainder when 235 is divided by v?
55
Let u(q) = -6*q - 19. Let d be u(5). Let r = 49 + d. Suppose r = 3*i - 4 - 32. Calculate the remainder when 17 is divided by i.
5
Suppose -6825 = 183*i - 208*i. Calculate the remainder when 274 is divided by i.
1
Suppose 0 = -4*v + g + 208, 3*v - 4*v + g = -55. What is the remainder when v is divided by (-72)/(-16)*120/54?
1
Suppose 0 = -3*v + 4*w + 158, -5*v + 189 = 3*w - 84. Let j(n) = -2*n**3 - 3*n**2 + 1. What is the remainder when v is divided by j(-2)?
4
Let n(r) = 9*r**2 + 3*r + 2. Suppose 0 = 5*d + 5*j - 185, 210*d = 214*d + 3*j - 138. Calculate the remainder when n(4) is divided by d.
23
Suppose -7*j + 12*j = 2*s - 87, -4*j = 5*s - 267. Calculate the remainder when 125 is divided by (85/s)/((-1)/(-24)).
5
Suppose 13 = 3*c - 2. Suppose 0 = -4*d + b + 200, c*d = -0*d - 3*b + 233. Calculate the remainder when d is divided by (-45 - (-5520)/96) + (-2)/(-4).
10
Let n = 164 + 421. Calculate the remainder when n is divided by 14.
11
Let r = 21 - 7. Suppose -p - 4 + 33 = 0. Calculate the remainder when p is divided by (r + -17)/((-3)/8).
5
Let v = -496 - -796. What is the remainder when 0 + (-9 - v/(-5)) is divided by 44?
7
Let z be (-256)/26 + 66/(-429). What is the remainder when (4000/3)/z*6/(-5) is divided by 18?
16
Let i(u) = -u**2 - 4*u + 4. Let w be i(2). Let d = 21 + w. What is the remainder when d is divided by (8 - -1) + -25 + 13 + 9?
1
Let h = 87 - 52. Let q be (-4)/8*-2*-1. What is the remainder when q/((-3)/(-3))*-137 is divided by h?
32
Let j(p) = -237*p + 6312. What is the remainder when j(24) is divided by 6?
0
Suppose -q - 1 = 78*u - 73*u, 0 = 2*u - 2. Let o(x) = 2*x + 0*x + x**3 - 2 + 8*x**2 + 0*x. What is the remainder when o(q) is divided by 20?
18
Suppose 1 + 1 = 3*o + 4*a, 0 = 3*o - 5*a - 11. Let k = o + 6. Let w = 6606 + -6585. What is the remainder when w is divided by k?
5
Let a = -207 - -311. Suppose 0 = 3*f, -4*u + 21*f = 19*f - a. Let b = 91 - 42. What is the remainder when b is divided by u?
23
Let u = -61 + -97. Let q be -4 + (u/(-22) - 6/33). Suppose w - 5*k = 26, -k - q*k = -2*w + 58. What is the remainder when 120 is divided by w?
27
Let y = 3273 + -2123. Calculate the remainder when y is divided by 11.
6
Let f(j) = -j**3 - 13*j**2 + 9*j + 12. Let d be f(-13). Let t = d + 121. Calculate the remainder when 269 is divided by t.
13
Suppose 3*v - 4*f - 133 = 20, 5*v + 2*f = 229. Suppose -50 - 20 = -2*t. Suppose -6*j + t = -j. What is the remainder when v is divided by j?
5
Let p = -32717 + 32785. Calculate the remainder when 7476 is divided by p.
64
Suppose 234*b = 295*b - 771 - 7891. Calculate the remainder when 479 is divided by b.
53
Let r = 344 + -273. Let u = -303 - -444. What is the remainder when u is divided by r?
70
Suppose 27010 = -7*t + 192*t. Calculate the remainder when t is divided by 7.
6
Let d(x) = -4*x + 32. Let j(t) = t**2 + 12*t - 8. Let k be j(-12). What is the remainder when 445 is divided by d(k)?
61
Suppose 2*v = -f + 195, -v = f - 4*v - 200. Suppose 3*y - 328 = f. Calculate the remainder when y is divided by 16.
15
Let a = -102332 - -102382. Suppose 3*w = -w + 112. What is the remainder when a is divided by w?
22
Let r(s) = s**2 + 11*s - 518. Let w = 12 + -7. Suppose -w*t = -j - 135, -4*t - 9 = -4*j - 101. What is the remainder when r(19) is divided by t?
24
Let q = 58 - 55. Let p(r) = r**2 - 15*r + 19. Let z be p(14). Suppose d - z*s = -1, q*s - 37 = d - 3*d. What is the remainder when 67 is divided by d?
11
Let m be ((-18)/(-4) + -2)*352/80. Let u(k) = -k**3 + 7*k**2 + 56*k - 14. What is the remainder when u(m) is divided by 21?
13
Let z(n) = -7*n + 35. Let k be z(21). Let b = k - -119. Suppose -3 - 7 = -5*w, 2*u + w = 54. What is the remainder when u is divided by b?
5
Let v(w) = -108*w + 8. Let d be v(-3). Let u = d - 321. Calculate the remainder when 76 is divided by u.
10
Suppose 0 = -4*j + 4*r - 7*r + 196, 0 = -4*j + 3*r + 196. Suppose 4*t = -5*d + 274, 47*d - j*d - 75 = -t. Calculate the remainder when 137 is divided by t.
66
Let p be 2802/54 - ((-8)/36)/2. Suppose z = -2, p = 4*i - 4*z - 120. Calculate the remainder when i is divided by 32/5 - 6/15.
5
Suppose -u + 2*k = 8, 3*u + 8 = -u + 2*k. Suppose 3*m - 2*l - 41 = u, 6*l + 5 = 7*l. What is the remainder when 43 is divided by m?
9
Suppose 54*p = 65*p - 154. Calculate the remainder when 2516 is divided by p.
10
Suppose 0*m - m = -9, 5*y - 3*m - 43283 = 0. What is the remainder when y is divided by 27?
22
Suppose -1300*o = -1288*o + 764 - 4424. Calculate the remainder when 612 is divided by o.
2
Let p = 28978 - 28745. What is the remainder when 1157 is divided by p?
225
Suppose 6026 - 32732 = -804*c + 27162. Let r = -14 - -36. Calculate the remainder when c is divided by r.
1
Calculate the remainder when (1 + 1138/(-3))*(-42)/70 is divided by 117.
110
Let v = -27577 - -28497. Calculate the remainder when v is divided by 11.
7
Suppose 68*u = 17526 - 5694. What is the remainder when 221 is divide