(z) = -z**3 - 39*z**2 + 44*z + 164. Let b be r(-40). Suppose -s - 5*v = b, 3*s - 2*v - 35 = 21. What is the remainder when 25 is divided by s?
9
Let r(z) = 128*z - 2618. What is the remainder when r(25) is divided by 282?
18
Suppose 0 = -5*t + 1181*t + 51*t - 51534. Calculate the remainder when t is divided by (-4)/6 + 28/6.
2
Suppose -56*x + 219246 = 71*x - 130258. What is the remainder when x is divided by 145?
142
What is the remainder when 133 is divided by 6/(-45) + 692/15?
41
Let y(p) be the second derivative of -p**4/12 - 11*p**3/3 + 33*p**2 + 131*p. Calculate the remainder when 196 is divided by y(0).
64
Suppose -36*h + 13356 = -18504. Calculate the remainder when h is divided by 437.
11
Let u = -117 + 170. Suppose -4*t - 8 = 0, 0 = -3*h + t + u + 114. What is the remainder when h is divided by ((-16)/(-7) - 4)*-7?
7
Let m = 282 - 400. Let k be (892/6)/((-2)/3). Let y = m - k. Calculate the remainder when y is divided by 53.
52
Let y(o) = 1209*o - 9546. Calculate the remainder when 651 is divided by y(8).
21
Let h(f) = 418*f + 2973. Calculate the remainder when h(-6) is divided by 230.
5
Let w be (-7)/(1 - (-46)/(-45)). What is the remainder when w/(-2)*(-108)/90 is divided by 48?
45
Let d = 46105 - 46022. Suppose 0 = -n + 2 + 6. What is the remainder when d is divided by n?
3
Suppose 0 = 29*c + 3*c - 3584. Let k = c - 12. Calculate the remainder when k is divided by 27.
19
What is the remainder when (-2)/8 - 0 - 292825/(-260) is divided by 14?
6
Let v(n) = 2*n**3 - 3*n**2. Let p be v(2). Suppose 2*h + 6 = 0, -19 = -5*w + p*w - h. What is the remainder when 131 is divided by w?
21
Let l(g) = g**3 + 14*g**2 + 38*g - 15. Let h(n) = -6*n**2 - 12*n + 10. Let y be h(1). What is the remainder when l(y) is divided by 332/14 - 4/(-14)?
17
Suppose 2*j - 600 = -2*u, -4*u - 3*j = 2*j - 1205. Let p(q) = q**3 - 6*q**2 + 59*q - 153. Calculate the remainder when u is divided by p(4).
40
Let c = 328 - 322. What is the remainder when (-5)/(-10)*16 - (-30)/c is divided by 2?
1
Let w = 288 - 121. Suppose z + 18 = 39. Calculate the remainder when w is divided by z.
20
Let n(x) = -9*x - 7. Suppose 5*w = 2*p + 2, -4*w = -3*w - 2. Suppose p*s - 8 = 2*h, 11 = -4*h - s + 4*s. What is the remainder when 20 is divided by n(h)?
9
Let c(j) = 8*j**2 - j + 37. What is the remainder when 1957 is divided by c(0)?
33
Suppose -4*d + 4*h + 152 = 0, 0 = d + 4*h - 52 - 11. Let x = 54 - d. Let c = -8 + x. What is the remainder when 8 is divided by c?
2
Let x = -486 + 491. Suppose 96 = 4*o - 2*r, 5*r + 15 = x*o - 110. What is the remainder when o is divided by (-1)/(2/((-32)/2))?
7
Let s(x) = x**2 - 18*x + 41. Let k be s(15). What is the remainder when (-6078)/(-42) + (k - 120/(-28)) is divided by 50?
45
Let t = -4480 + 4513. Calculate the remainder when 63 is divided by t.
30
Let h(s) = 59*s + 38. Let g be h(13). Suppose -63*c = -70*c + g. Calculate the remainder when c is divided by 4.
3
Suppose 50*c - 81648 = -94*c. Calculate the remainder when c is divided by 50.
17
Suppose 4*r - t = 4*t + 1, 0 = -2*r + 4*t - 4. Suppose -3*o + 3*l + 156 = 0, -l - 244 = -5*o - r*l. What is the remainder when 292 is divided by o?
42
Let a be (-8)/(-2) + -5 + 5. Suppose -a*o - 12 = -7*o. Suppose -3*d - 189 = -o*d. Calculate the remainder when d is divided by 32.
29
Let j be (-36)/((6/(-40))/(12/30)). Suppose -2*t = -3*t, 5*t = -4*f + j. Let z = -122 - -215. What is the remainder when z is divided by f?
21
Suppose -3223 = -19*v - 17*v + 2681. What is the remainder when v is divided by 159?
5
Let s = 4337 - 4224. What is the remainder when 40112 is divided by s?
110
Let m = -42 + 46. Suppose -7*n + 1602 = -m*n. What is the remainder when (18/27)/(4/n) is divided by 23?
20
Let f = 11742 - 11249. What is the remainder when 2472 is divided by f?
7
Suppose 0 = -191*f + 180*f + 33. Let t be 3*-1*49/(-3). Suppose 42 = 2*x - n - 4*n, f*x = 4*n + t. Calculate the remainder when 32 is divided by x.
10
Let b(o) = -5*o + 21 + 15*o + 14 - 32. Calculate the remainder when b(9) is divided by 27.
12
Suppose -i - 5*x - 10 = -122, -x + 100 = i. Calculate the remainder when 315 is divided by i.
24
Let s(z) = 12*z + 82. Let w be s(-7). Let a(y) = -7*y + 2. What is the remainder when 58 is divided by a(w)?
10
Suppose 2*o + 124451 = 124583. What is the remainder when 2229 is divided by o?
51
Let g(q) = 478*q + 17265. Calculate the remainder when 1191 is divided by g(-36).
51
Let d(v) be the third derivative of v**5/30 + 29*v**4/12 - 31*v**3/2 - 18*v**2. Suppose 0 = 2*x + 3*x - 300. What is the remainder when x is divided by d(-31)?
29
Let u(n) = 3*n + 9. Let h be u(-2). Suppose -262 = -h*c + 50. What is the remainder when c is divided by 24?
8
Let p(v) = v**2 - 3*v - 1. Suppose -4*k - 4*z = -180, 0 = -4*z + 10 + 6. Let b = 64 - k. Calculate the remainder when b is divided by p(5).
5
Let b(l) = l**3 - l**2 + 4*l - 4. Let j be 27/(-36)*(8/(-3) + 0). What is the remainder when 35 is divided by b(j)?
3
Let g = 5 - -20. Suppose -g = -2*f + y, 0*f - f = -3*y. Let o(v) = 58*v**2 + v - 1. What is the remainder when o(1) is divided by f?
13
Suppose -49*j + 474 = 42*j - 85*j. Calculate the remainder when 206 is divided by j.
48
Let u be ((-26)/4)/(3*4/(-48)). Suppose u*b = 4*b + 352. Let f = 27 - -4. Calculate the remainder when f is divided by b.
15
Let k(a) = 2*a - 5*a + 16 - 31 - 63. Let j be k(-26). Suppose 3*s - b - 82 = j, -7*b = 2*s - 4*b - 62. What is the remainder when s is divided by 10?
8
Let m = -3187 + 3582. What is the remainder when m is divided by 133?
129
What is the remainder when 1085 is divided by (21/(-5))/(51/(-1020))?
77
Let w be (-280)/50 - (-2)/(-5). Let g = 72 - w. What is the remainder when 307 is divided by g?
73
Let i = -15912 + 16046. What is the remainder when 10715 is divided by i?
129
Suppose -1560 = 1656*w - 1671*w. Calculate the remainder when 198 is divided by w.
94
Let z = 4991 - 4891. What is the remainder when z is divided by 26?
22
Suppose -4*t - 3*i + 6*i = -236, 0 = 5*t - 5*i - 300. Calculate the remainder when 51 is divided by (-51)/((-68)/t + 6/(-21)).
17
Suppose -22 = -q - 5*z, -2*q + 0*z = -z. Let j(n) = 0*n - n**q + 4 - 2*n - 12*n. Calculate the remainder when j(-12) is divided by 16.
12
Suppose 2583 = 42*s - 1323. What is the remainder when 385 is divided by s?
13
Suppose -12*r = -0*r - 72. Suppose 4*u - 164 = -5*c, 0 = -r*u + 9*u + 3*c - 126. Calculate the remainder when u is divided by 24.
22
Let d = -1794 + 1810. Calculate the remainder when 188 is divided by d.
12
Let f = 1156 + 2163. Calculate the remainder when f is divided by 123.
121
Let i = 2509 + -2498. Calculate the remainder when 213 is divided by i.
4
Suppose -5*h - 5*l - 1 = -76, -5*h + 96 = -2*l. Suppose h*b = -0*b + 972. Let u = -26 + 54. Calculate the remainder when b is divided by u.
26
What is the remainder when 6 + (-318)/54 + (-29014)/(-18) is divided by 229?
9
Suppose 5*g - n + 0*n - 504 = 0, -4*g - 3*n = -388. Suppose 0*z + 4*z - g = 0. What is the remainder when 123 is divided by z?
23
Let m = 62 + 3851. Suppose 843 = 41*b - m. What is the remainder when b is divided by 39?
38
Let l(t) = t**3 + 6*t**2 - 8*t - 5. Let d be l(-7). Suppose 4 - 40 = -d*p. Calculate the remainder when (-1274)/(-18) - ((-8)/36)/1 is divided by p.
17
Let n = 85 + 65. Suppose a = -5*a + n. Suppose -27 = -d + a. Calculate the remainder when 97 is divided by d.
45
Suppose 4176 = 5*v - 1784. What is the remainder when v is divided by 238?
2
Suppose -14*d - 5 = 9. Calculate the remainder when 167 is divided by (-6)/(-18) - (250/(-6) + d).
38
Suppose 0 = -18*a + 16*a + 56. Let b = a + 10. Suppose -k + b + 65 = 0. Calculate the remainder when k is divided by 35.
33
Let h be (1 - 172)*(69/9 - 8). Let a = 123 - h. What is the remainder when a is divided by 25?
16
Suppose 1073 = 77*j + 380. What is the remainder when 436 is divided by j?
4
Suppose 699*s - 768 = 691*s. Calculate the remainder when 209 is divided by s.
17
What is the remainder when (76/190*(-90)/16)/((-1)/276) is divided by 170?
111
Let t = -18 + -3. Let a = -13 - t. What is the remainder when a is divided by (8 + 1 + 1)*(-414)/(-1035)?
0
What is the remainder when 3257 is divided by (-2)/(-14) + (-4002)/966 + 1086?
11
Suppose 0 = 4*h - t - 370, 5*h = -8*t + 3*t + 45