ed by l.
9
Let z = 249 - 210. Suppose -4 = -p + 5*j, 14 = 2*p - j - z. Calculate the remainder when 133 is divided by p.
17
Let m(x) = -5*x**2 + 22*x - 116. Let k(c) = -12*c**2 + 45*c - 233. Let y(z) = 2*k(z) - 5*m(z). What is the remainder when 82 is divided by y(12)?
10
Let r(t) = -43*t + 60 + 33*t + 9. Calculate the remainder when 71 is divided by r(5).
14
Suppose 0 = -4*j + 5*z + 103, -6*j + 2*j + z = -107. Let p(h) = -h**3 - 19*h**2 - 4*h + 3. What is the remainder when p(-19) is divided by j?
25
Let y(h) = 2*h**2 - 314*h + 1607. What is the remainder when 1814 is divided by y(5)?
74
Suppose 0 = 2362*o - 2363*o - 4*t + 3136, 7 = -t. What is the remainder when o is divided by 72?
68
Suppose 3*f - 47 = -u, 5*u - 3*f = 319 - 30. What is the remainder when 1704 is divided by u?
24
Suppose -4*u + 3*q = -27, -5*q - 34 = -2*u - u. Calculate the remainder when 16 is divided by ((-10)/(-6))/(1/u).
1
Let s be -2 - (609 - 5 - 6). Let g = s + 650. Calculate the remainder when g is divided by 18.
14
Suppose 5*k = -5*q + 418 + 22, 5*q - 458 = 4*k. Let i = q - 87. Let l = 0 - -3. What is the remainder when l is divided by i?
0
Suppose x + 8985 = 9326. Calculate the remainder when x is divided by 171.
170
Suppose 5*h + m - 641 = 0, 0 = 4*h - 2*m - 554 + 30. Calculate the remainder when h is divided by ((-2)/4)/((-24)/2208).
37
Let r(v) be the first derivative of 9*v**2/2 + 171*v + 110. Suppose 0*p = p - 14. Calculate the remainder when r(-16) is divided by p.
13
Suppose 143*v = 148*v + y - 13, -2*v - 3*y = -13. Let o(t) = -t**3 - 11*t**2 - 13*t - 5. What is the remainder when o(-10) is divided by v?
1
Let b = -1523 - -1507. Let t(d) = -13*d - 8. Let z be t(-6). Let q = z + b. Calculate the remainder when q is divided by 8.
6
Suppose 3*o = -4*s + 773, -340*s - 3*o = -341*s + 182. Calculate the remainder when 784 is divided by s.
20
Let l = -569 - -571. Suppose l*w + 2*w + t = 316, -5*t + 380 = 5*w. What is the remainder when 159 is divided by w?
79
Let y = -68 - -54. Let z be y/(-21) + (-30)/(-9). Calculate the remainder when 2*z/(-8)*-9 is divided by 7.
2
Suppose 6 = -4*q + q, 2*p - 40 = 4*q. Calculate the remainder when (-713)/(-5) - (-18)/(-30) is divided by p.
14
Let h(k) = k**3 - 3*k**2 + 65*k - 630. What is the remainder when 2398 is divided by h(7)?
4
Suppose -443 = 15*j + 691 - 9. Let o be 1266/9 - 4/6. Let x = j + o. Calculate the remainder when x is divided by 14.
9
Let l = 233 - 216. What is the remainder when (-1 - (-1)/(-2))*(-1728)/81 is divided by l?
15
Let k(f) = -f**2 + 80*f - 540. Calculate the remainder when 2010 is divided by k(8).
30
Suppose 126 = 8*w - 106. Let k be (-4)/24 - w/6. Calculate the remainder when -2 - (-10)/(-2)*206/k is divided by 41.
40
Let j = 221 - 227. What is the remainder when (-5)/(-11 - j)*73 is divided by 6?
1
Let l(d) = -d**3 - 9*d**2 + 2. Suppose 3*i = -0 - 27. Let x be l(i). Calculate the remainder when x/(3/72*3) is divided by 11.
5
Let k(d) = 33*d**2 - d. Calculate the remainder when 105/(-20)*(-29484)/1323 is divided by k(1).
21
Suppose 26730 = 3*w - v, -342*w + 346*w + 4*v - 35656 = 0. What is the remainder when w is divided by 12?
7
Calculate the remainder when 3702 is divided by 80/(-300)*9/(-4) - 192/(-5).
36
Suppose 3*h + 9 = 3*k, 3*h + 2 = -1. Let i = k + 4. Suppose 0 = -5*z + 100 - 75. Calculate the remainder when i is divided by z.
1
What is the remainder when 661 is divided by 6/4*((-25)/75 - 424/(-24))?
11
Suppose -145 = -2*j - 5. Suppose -89 = -4*c - 3*f, 3*c = 4*f - 3*f + 70. Calculate the remainder when j is divided by c.
1
Suppose -2*a - 4*k + 670 = 0, 0 = -80*k + 81*k - 4. Calculate the remainder when a is divided by 3.
0
Let z be (-1)/(9/(-15)*10/(-90)). Calculate the remainder when (-926)/(-10) - 6/z is divided by 16.
13
Suppose -301 = -4*p - 69. Let f(d) = -d**3 + 8*d**2 + d - 3. Let r be f(8). Suppose 0 = r*b - 53 - 97. Calculate the remainder when p is divided by b.
28
Suppose 0 = 4*c + 5*y - 24522, -9*c = -10*c + 5*y + 6093. What is the remainder when c is divided by 49?
47
What is the remainder when 468 is divided by ((-72)/(-30))/(110/25) + 1534/11?
48
Let s(t) = t**2 - 5*t + 6. Let f be s(4). Suppose 0 = 2*m + 3*l - 131, -3*m = f*l - 123 - 81. Calculate the remainder when m is divided by 20.
10
Let g = -4886 + 4961. Calculate the remainder when 195 is divided by g.
45
Suppose -3*s = 2*r - 4190, 4041 = 3*s + r - 148. Calculate the remainder when s is divided by 65.
31
Suppose -10*q + 173 + 72 = -5*z, 5*z - 93 = -3*q. What is the remainder when 1751 is divided by q?
9
Suppose -2*c - 4*u + 6*u + 1358 = 0, 2*u = -3*c + 2042. Let p = c + -480. Calculate the remainder when p is divided by 29.
26
Let i = -4934 - -4942. What is the remainder when 119 is divided by i?
7
Suppose 4*u + 5*r - 6*r - 56 = 0, 4*r = -u - 3. Let i = 8 + -3. Suppose -2 = -i*l + 13. Calculate the remainder when u is divided by l.
1
Let o = 2067 - 2065. What is the remainder when 20 is divided by o?
0
Suppose 51 + 353 = -4*j. Let p = j + 141. Suppose 0 = 3*i - 21 - 48. Calculate the remainder when p is divided by i.
17
Suppose 5*o = k - 45, 0 = -k + 3*o + o + 42. Let v(d) = -d + 2. Let a be v(-5). What is the remainder when (2/4)/((a/234)/7) is divided by k?
27
Suppose 0 = -y - 5, 0 = q + 2*y - 3*y + 989. Let c(m) = -m**2 - 12*m + 5. Calculate the remainder when q/(-10) - 14/35 is divided by c(-10).
24
Let t = 1375 - 1330. What is the remainder when 4138 is divided by t?
43
Calculate the remainder when 2892/5*(-100)/(-60) is divided by 231.
40
Let n = 762 - -210. Suppose -5*b + 448 = 2*m - 1511, -b = m - n. What is the remainder when m is divided by 19?
17
Let g = -5 - -11. Let r(w) = -13*w - 129. Let m be (((-1)/1)/(-3))/((-23)/690). Calculate the remainder when g is divided by r(m).
0
Let c(w) = 65*w**2 - 6*w**2 - 8*w**2 + 22*w - 60 + 2*w**3. Calculate the remainder when 41 is divided by c(-25).
11
Let z = -121 + 132. What is the remainder when 950/11 + 100/(-275) is divided by z?
9
Suppose -p + 284 = -4*z - 4*p, -z - p - 72 = 0. Suppose 3*l + b - 14 = 0, 1 = 3*l - b - 9. Calculate the remainder when 1/(268/z + 4) is divided by l.
1
Suppose -7*l + 46 = 4. What is the remainder when 284/7 - -5*12/(-105) is divided by l?
4
Let i = -21 + 39. Let g(f) = 10*f**2 - 280*f + 582. What is the remainder when g(2) is divided by i?
8
Suppose -4*h = -12*h + 2824. Suppose 4*p + z - 385 + 36 = 0, h = 4*p + 5*z. What is the remainder when p is divided by 15?
12
Let o(v) = 63*v**2 - 179*v - 8. Calculate the remainder when 3/3*18*4 is divided by o(3).
6
Let f = 744 - 472. Let o = f + -198. What is the remainder when o is divided by 40?
34
Suppose -99*f - 17033 = -705*f + 153253. What is the remainder when f is divided by 156?
125
Suppose -2*i = 409*f - 413*f + 3392, -3*f = 5*i - 2583. What is the remainder when 2562 is divided by f?
9
Let x(n) = -9*n**3 + 12*n**2 + 27*n + 3. Let w be x(-4). Suppose -3*d = 132 - w. What is the remainder when d is divided by 32?
17
What is the remainder when (96/72)/(14/3) + 32286/42 is divided by 43?
38
Suppose 3*u - 4*t = 193, -2*u + 7*t - 9*t + 124 = 0. Calculate the remainder when 875 is divided by u.
56
Let f(x) = -1580*x + 1629. Calculate the remainder when f(-12) is divided by 176.
173
Suppose b - 4*y = 252, 5*b + y - 1686 = -3*b. Let j(a) = 61*a. Calculate the remainder when b is divided by j(1).
29
Suppose 23*r - 486 = 4*r - 49. Calculate the remainder when 251 is divided by r.
21
Suppose s = -5*p + 154, -301 = -p + 5*s - 239. What is the remainder when 82 is divided by p?
18
Let l be (-1)/(-4) - (-1925)/44. Let d = -239 - -210. Let k = l + d. Calculate the remainder when 24 is divided by k.
9
Calculate the remainder when ((-5)/(-2))/((-570)/44 + (-1235)/(-95)) is divided by 6.
1
Let q be (-28)/(-35)*135/(-2). Let o = 58 + q. Suppose -3*w + o*x = -5, 7 + 4 = w + x. Calculate the remainder when w is divided by 2.
1
Let h(b) = -b**3 - b**2 + 31. Let y be (-1)/(3*2/(-24)). Suppose 6*t = -t + y*t. Calculate the remainder when 91 is divided by h(t).
29
Let v = -706 - -731. What is the remainder when (-3552)/(-30) - 3/(-5) is divided by v?
19
Suppose -15*z + 16*z - 52 = 0. Calculate the remainder when 3794 is divided by z.
50
Suppose -c + 102 = 16. Suppose -3*j + c = -j + 2*f, 3*j - 143 = 4*f. 