19). Let p(v) = -v**2 + 14*v + 11. Calculate the remainder when p(s) is divided by 7.
4
Suppose 4*i + 5*c - 7338 = 0, 8844 = 4*i - 4*c + 1524. What is the remainder when (1 + -2)/((-8)/i) is divided by 11?
9
Suppose 158*g = 153*g + 350. Let j = -54 + g. What is the remainder when 44*(-1 + (2 - 0)) is divided by j?
12
Suppose w + 3146 = 30*w - 1262. Calculate the remainder when w is divided by (-82)/(-5) - 2/5.
8
Let z(i) = 575*i + 2895. What is the remainder when 112 is divided by z(-5)?
12
Let k = 161 - 158. Suppose o = 4*y - 87, -2*o + 125 = 8*y - k*y. Calculate the remainder when y is divided by 6.
5
Let h(z) = -6*z**3 - 478*z**2 + 158*z + 405. What is the remainder when h(-80) is divided by 204?
157
Let a = -45 - -87. Suppose 474 + 66 = 10*j. Let b = j - a. Calculate the remainder when b is divided by 5.
2
Let u = -43 + 125. Let y(t) be the second derivative of t**5/20 - t**4/12 - 2*t**2 - 30*t. Calculate the remainder when u is divided by y(3).
12
Suppose 3378 = 3*n - 690. Suppose v - n = -v. Suppose -2*y = 4*y - v. Calculate the remainder when y is divided by 29.
26
Let d(b) = 54*b**2 + 9*b - 82. Let o be d(5). Let l = -517 + o. What is the remainder when l is divided by 38?
36
Let z = 54697 - 54673. Calculate the remainder when ((-78)/(-4))/((-2)/(-4)) is divided by z.
15
Suppose -3*w = 3*i - 1917, 13*i = -w + 17*i + 654. Let u = w - 545. Calculate the remainder when 193 is divided by u.
96
Let q(k) = 301*k + 3995. Suppose 9 = z - 315. What is the remainder when z is divided by q(-13)?
78
Let f(b) = 43*b + 1388. Calculate the remainder when f(-24) is divided by 77.
48
Let h = -14421 + 15669. What is the remainder when h is divided by 63?
51
Let g(a) = -a**3 + 31*a - 21*a - 18 - 22*a - 9*a**2. Let l = -52 - -76. What is the remainder when l is divided by g(-8)?
10
Let n = -3438 - -3631. Calculate the remainder when 2310 is divided by n.
187
Let q = -265 + 374. What is the remainder when q is divided by 52?
5
Let h = 429 + 1983. Suppose 38*b - h = 20*b. Calculate the remainder when b is divided by 28.
22
Suppose 5*u + 10 = 5*j, 5 = -u + 4. Let c = 8360 - 8353. What is the remainder when (-1)/j + 11*5 is divided by c?
5
Suppose 36*w - 1986 - 2694 = 0. What is the remainder when w is divided by 105?
25
Let w = 4735 - 3503. What is the remainder when w is divided by 50?
32
Suppose 0 = 16*x - 26*x + 110. Suppose -f - 4*y + 3*y + 20 = 0, -f + 2*y = -x. What is the remainder when f is divided by 5?
2
Let l(v) = -877*v - 598. What is the remainder when l(-1) is divided by 79?
42
Suppose 3*j = 69 - 27. What is the remainder when 74 is divided by 18 + (12/j)/(3/21)?
2
Let d(c) = -222 + 35 - 88*c - 151. What is the remainder when d(-4) is divided by (-80)/(-14) - (-4)/14?
2
Let u = 20 - -10. Let p = -1586589 - -1586766. What is the remainder when p is divided by u*5/((-50)/(-12))?
33
Let s(f) = 2*f + 11. Suppose -27 = -19*u - 8. What is the remainder when 543 is divided by s(u)?
10
Let l = -38 - -46. Suppose 4*b + 0*q = -q + 902, 1129 = 5*b + 2*q. Suppose 7*t - 12*t + b = 0. Calculate the remainder when t is divided by l.
5
Let h be 0*1/(-3)*-3. Suppose 6*x - 8*x + 20 = h. Calculate the remainder when (-224)/896 - 117/(-4) is divided by x.
9
Let l = -44 + 33. Let o = l + 15. Suppose -o*v + 79 = -117. What is the remainder when v is divided by 25?
24
Let z(f) = 10*f**3 + f**2 - f - 6. Let p be z(-3). Let s = p + 291. What is the remainder when 45 is divided by s?
18
Calculate the remainder when 950 is divided by (6 + 41 + -26)*(0 - (-16)/3).
54
Let w(a) = -a**3 + 28*a**2 - 42*a + 108. Let t be w(26). Let y = t + -355. What is the remainder when 113 is divided by y?
9
Let u = 1204 - 344. What is the remainder when u is divided by 18?
14
Suppose 4*s = -5*s + 2880. Let f = -85 + 102. What is the remainder when s is divided by f?
14
Let n(b) = 1665*b**2 + 22*b + 51. What is the remainder when n(-2) is divided by 23?
20
Let v be (-1 - 2) + 8 - -31. Suppose -30*c + v*c - 588 = 0. Suppose g - z - 33 = z, 5*g + z = 165. What is the remainder when c is divided by g?
32
Suppose -77*k = -80*k - j + 23374, 5*k = 2*j + 38975. What is the remainder when k is divided by 23?
19
Let y(c) = -c**3 + 6*c**2 + 27. Let f(h) = -h**3 - 10*h**2 - 23*h + 7. What is the remainder when f(-9) is divided by y(6)?
25
Let g(d) = 12*d**2 + 38*d - 6. Let w(i) = 6*i**2 + 18*i - 3. Let a(j) = -2*g(j) + 5*w(j). Calculate the remainder when a(4) is divided by 39.
32
What is the remainder when 8596/50 + (-46)/(-575) is divided by 53?
13
Suppose 0 = 5*g - 4*h - 153, -2*h = 2*g - 1 - 53. Let m = -17 - -20. Calculate the remainder when g is divided by 7 - (3*m/9)/(-1).
5
What is the remainder when 3015/10 - 1/2 is divided by (-3 - -5)*19*6/((-36)/(-6))?
35
Let i(z) = 12*z - 3 - 2*z**2 + 4 + 8*z**2 - 4*z**2. What is the remainder when (2 - 126/15)/((-1)/15) is divided by i(-8)?
30
Suppose 2*o - 14593 = -5*h, -7349 = -o - 18*h + 23*h. What is the remainder when o is divided by 27?
24
Let h be -18*285/(-10) - -2. Let n = -440 + h. Calculate the remainder when 147 is divided by n.
72
Suppose 4*q = 3*n + n + 484, -q = 5*n + 623. Let p = 101 + -88. Calculate the remainder when n*(-1)/(-8)*-2 is divided by p.
5
Suppose c + 0 = 5, 5*c - 29 = -s. Suppose 2*a - 37 = -k - 4*k, 5*a - s*k - 142 = 0. What is the remainder when 100 is divided by a?
22
Let z = -39 + 36. Let y be 94/z + (-18)/27. Calculate the remainder when 33 is divided by (-248)/y - (-3)/(-4).
5
Let y be 5/(50/(-15)) + 26/4. Suppose w + 4*n + 5 = 0, -5*w - y*n + 0*n + 5 = 0. What is the remainder when 50 is divided by w?
2
Suppose 25 + 70 = 19*k. Suppose -215 = -k*f - 6*z + 11*z, -4*f + 3*z = -173. What is the remainder when 204 is divided by f?
28
Let t(u) = 41*u**2 - 3360*u - 159. Calculate the remainder when 393 is divided by t(82).
3
Suppose -2*z - 534 = -9*z + 334. Calculate the remainder when z is divided by 80.
44
Suppose -2*d = f - 2, 5*d - 6 + 4 = -3*f. Suppose a = -2*a + 27. What is the remainder when 30*(f - (-160)/25) is divided by a?
3
Suppose -491*l - 1140 = -497*l. Calculate the remainder when 757 is divided by l.
187
Suppose -2*p - 4*v + 9245 = v, 4*p - 18475 = 5*v. What is the remainder when 76/(-5)*(p/8)/(-21) is divided by 28?
26
Let d be 11/(165/20)*3. Suppose d*f - r + 21 = -0*r, f - 16 = -4*r. What is the remainder when 123 is divided by -1 + 19*(-4 + f + 9)?
15
Let s(r) = r**3 - r**2 - 2*r - 2. Let b be s(-1). Let d be (4/6 - b)*(-9)/6. What is the remainder when 97 is divided by 1 - -30 - d/2?
31
Suppose -78*r + 4302 = 1338. Let q(b) = 13*b**2 - 2*b - 1. Calculate the remainder when r is divided by q(-1).
10
Let r(z) = -2*z**2 + 12*z + 3. Let v be r(-8). Let l = -214 - v. What is the remainder when 38 is divided by l?
3
Let p = -102527 + 102532. Calculate the remainder when (-1)/((-1)/15 + 0) is divided by p.
0
Suppose -2*i - i + 9 = 0. Let j(d) = -d**3 - 11*d**2 - 12*d - 46. Let p be j(-11). Suppose i*k = k + p. What is the remainder when 84 is divided by k?
41
Suppose 4226 = 50*v - 4970 - 3154. What is the remainder when v is divided by 71?
34
Suppose 1198 = 5*a - 22*k + 29*k, -1154 = -5*a + 4*k. What is the remainder when 638 is divided by a?
170
Let b be 54/8 - 4/(-16). Suppose -2*k - 925 = -b*k + 5*a, 0 = -3*k + a + 557. Suppose 18*s - k = 12*s. Calculate the remainder when 90 is divided by s.
28
Let a(x) = x. Let w(g) = -10*g + 3. Let f(b) = -2*a(b) - w(b). Calculate the remainder when 566 is divided by f(3).
20
Suppose -10*s + 150 - 50 = 0. Suppose -s*v = 11*v - 1218. What is the remainder when v is divided by 15?
13
Let t = -38126 + 38159. What is the remainder when 2354/8 - 2/8 is divided by t?
30
Let s(i) = 26*i**2 + 153*i + 153. Calculate the remainder when 268 is divided by s(-1).
8
Suppose 6*p - 61 = -1. Suppose 5*n = -3*x + 69, 3*n = 3*x - 35 - p. What is the remainder when 834/12 + 2/4 is divided by x?
16
Let n = 8073 + -7172. Calculate the remainder when n is divided by 41.
40
Suppose 166 = 5*h - 144. Suppose -27*m + 13*m = -10*m - 72. Calculate the remainder when h is divided by m.
8
Suppose -374 = -64*q + 394. Let m = 285 + -166. Let k = 202 - m. Calculate the remainder when k is divided by q.
11
Let a(o) = 69*o**3 + 5*o**2 - 13*o + 16. Calculate the remainder when a(2) is divided by 183.
13