ppose -7*s + 4*s + 4*u = 295, -3*s - x = u. Let m = s + 165. Calculate the remainder when m is divided by 5.
2
Suppose -2*r + 184 = -68. What is the remainder when 1331 is divided by (-69 + 2 + -2)/((-189)/r)?
43
Suppose 5*t - 3878 - 26552 = -29*t. Calculate the remainder when t is divided by 24.
7
Suppose 845 = 14*y + 688 - 4001. Calculate the remainder when y is divided by 157.
140
Let n(o) = 25*o + 5. Suppose 54*a - 1409 = -221. Calculate the remainder when n(5) is divided by a.
20
Suppose 145 = 3*c - 206. What is the remainder when 581 is divided by c?
113
What is the remainder when 997 is divided by ((-39090)/(-216) - 4/18)/((-114)/(-304))?
33
Suppose 0 = -3*p - p + 24. Let z(r) = -31*r - 12227 + 3*r**2 - 4*r**2 + 12139. What is the remainder when z(-27) is divided by p?
2
Let t(s) = -s**3 - 33*s**2 - 272*s + 5. Suppose c = 2*w - 3*c - 64, 0 = -3*w + 2*c + 92. What is the remainder when w is divided by t(-16)?
0
Suppose 5*m + 4*w - 3*w - 255 = 0, 4*m - w - 195 = 0. Suppose 8*a - m = 7*a. What is the remainder when 65 is divided by a?
15
Let f = 284 + -282. What is the remainder when -6*(-1 - (-114)/(-9) - f) is divided by 27?
13
Suppose 271*h = 103986 + 5769. Calculate the remainder when h is divided by 199.
7
Suppose 240*r - 29017 = 212252 + 137691. What is the remainder when r is divided by 78?
19
Let g(c) = -3*c**3 + 3*c**2 - 11*c + 2. Let q be g(3). Let a be (-17)/q + (-29)/(-5). What is the remainder when 124 is divided by (36/60 - a/10) + 21?
19
Let x(a) = -10*a - 2 + 30*a + 5 + 12. Calculate the remainder when x(9) is divided by 52.
39
Calculate the remainder when -1*(-4 - 0 - 734) is divided by 368.
2
Let x = -7700 + 7726. Calculate the remainder when 1291 is divided by x.
17
Suppose 40 = -2*v - 5*t, -3*t - 20 - 58 = 3*v. Let g be (-1 + (-332)/(-20))*v/(-4). Let o = g + -87. What is the remainder when o is divided by 4?
2
Suppose 0 = -i + 1 + 2. Suppose -s = i*k - 80, -k - 5*s + 13 + 37 = 0. Calculate the remainder when 63 is divided by k.
13
Suppose 0 = -x + 2, -13*l + 4*x + 121 = -1314. Calculate the remainder when 995 is divided by l.
107
Let j = -8914 - -8918. What is the remainder when 1696 is divided by j?
0
Suppose -n + 515 = -b, 4*n = 5*b + 599 + 1457. What is the remainder when 1073 is divided by n?
35
Let v be 40/(-32)*(-13*5 + 1). Suppose v = 8*r - 288. What is the remainder when r is divided by ((-18)/(-21))/((-1)/(-14))?
10
Suppose -b - 2*b + 2*h + 42 = 0, 2*b + 5*h = 47. Suppose -b*o - 54 = -18*o. Calculate the remainder when o is divided by 11.
5
Let f = -171 - -662. Let l = -465 + f. Calculate the remainder when 232 is divided by l.
24
Suppose -95 - 5 = -5*m. Let b = -2496 - -2571. What is the remainder when b is divided by m?
15
Calculate the remainder when 483 is divided by (2 - 273/9)/((-124)/372).
58
Let i = -1526 - -5101. Calculate the remainder when i is divided by 73.
71
Suppose -2562*t - 115 = -2567*t. What is the remainder when t is divided by 0 - (-7)/((-21)/(-27))?
5
Let z(i) = -298*i - 919. What is the remainder when z(-5) is divided by 186?
13
Suppose -5*s = 3*d - 542, -s - 2*d + d + 110 = 0. Suppose -84 = 102*r - s*r. What is the remainder when 62 is divided by r?
20
Let a be (-3 - -9)/(15/(-4010)). Let t = -884 - a. Suppose 2*l - 18*l + t = 0. What is the remainder when l is divided by 12?
9
Let c(w) = -257*w. Let l be c(3). Let x = 1380 + l. What is the remainder when x is divided by 34?
31
Let b(m) = m**3 - 3*m**2 + 3*m - 6. Suppose 115*f - 648 = 107*f. What is the remainder when f is divided by b(4)?
15
Suppose -4*s + 3*s = -21. Suppose 0 = 3*u - 2*u - 2*z - 126, -2*u + 250 = -2*z. What is the remainder when 24 - 26 - (-1)/(2/u) is divided by s?
18
Suppose -2*w + 25 + 55 = 54. Let y(n) = 4 - 4 - 5*n - n**2 + 1. Calculate the remainder when w is divided by y(-3).
6
Suppose -13*w + 15*w + 4*x - 1304 = 0, -10 = -5*x. What is the remainder when w is divided by 41?
33
Suppose 14 = 4*o - 4*p - 14, -16 = 4*p. Suppose 2*k - o*c + 0*c = 82, -4*c = 5*k - 205. Calculate the remainder when -2*(-1)/2*78 is divided by k.
37
Let h(k) = -k**3 - k**2 + 5*k - 89. Suppose w = -3*w - i + 129, w = i + 31. Calculate the remainder when h(-6) is divided by w.
29
Let t(l) = l**2 + 31*l + 221. Let k = 1017 + -1027. Suppose -3*v = 5*f - 465, v + 283 = 3*f + 2*v. What is the remainder when f is divided by t(k)?
8
Let d = 143 - 155. Calculate the remainder when 64/(-12)*162/d is divided by 37.
35
Suppose 69*w = 19*w + 29*w + 84. What is the remainder when 958 is divided by w?
2
Let a(j) = 9*j + 2. Let m(d) = -d**2 + 6*d + 7. Let i be m(6). Suppose -i*y - 28 = -8*y. What is the remainder when y is divided by a(1)?
6
What is the remainder when (-221210)/(-99) - (-168)/(-378) is divided by 68?
58
Let j(g) = g**2 - 79*g + 1488. Let c(f) = f - 2. Let l be c(4). Suppose -3*s + l*s = -10. What is the remainder when j(50) is divided by s?
8
Suppose -5*b + v + 1970 = 0, 37*b - 35*b - 788 = 4*v. Calculate the remainder when b is divided by 5.
4
Suppose 3*v + 14*v = 1224. What is the remainder when v is divided by (-15)/5 - ((1 - -1) + -23)?
0
Suppose -15*k + 16*k - 3*y = 139, 5*y - 420 = -4*k. Calculate the remainder when 1723 is divided by k.
113
Let s = 629 + -625. Let j = 0 + 36. Calculate the remainder when j is divided by s.
0
Let n be 2/(-3)*-2*15/5. Suppose 3*v - 8*v - d + 735 = 0, n*v - 567 = -5*d. What is the remainder when v is divided by 50?
48
Calculate the remainder when 90 is divided by -45 + 22 + 72 - (-1 + 2).
42
What is the remainder when 123*27/(729/144) is divided by 15?
11
Suppose -44*v + 483 = -695 - 10. What is the remainder when v is divided by 2?
1
Suppose 0 = -3*b + 42 + 21. Suppose 0 = -12*q + 1023 + b. What is the remainder when q is divided by 22?
21
Let s = -30 - -39. Suppose 2*p - f + 6*f = s, 2*p - 2 = 2*f. What is the remainder when (-105 - -7)*(-1)/p is divided by 17?
15
Let k(x) = x**3 - 9*x**2 - 7*x - 31. Let q be k(10). Calculate the remainder when q/10*4 + (-1146)/(-15) is divided by 16.
12
Suppose 0 = d - 0*d - 15. Let c = -413 - -375. Let b = c - -43. What is the remainder when d is divided by b?
0
Let p(d) = -d**3 - 3*d**2 + 73*d + 285. Let f(i) = -14*i. Calculate the remainder when f(-2) is divided by p(-4).
1
What is the remainder when (-20462)/(-2) + (-9 - -1) is divided by 71?
70
Let i = -379 - -385. Suppose i*d - 46*d + 800 = 0. What is the remainder when 20 is divided by d?
0
What is the remainder when 20/(-110) - (-9574)/22 is divided by 4?
3
Suppose -4*u + 12 = 3*h, 3*h + 20 = 8*h. Suppose 2*r + 0*i + i = 379, u = 3*i + 15. Calculate the remainder when r is divided by 42.
24
Suppose -3*h = -2*h - 275. Let q be (27/(-18))/((-6)/584). Let p = h - q. What is the remainder when p is divided by 33?
30
Let c(j) = 74*j + 606. What is the remainder when 708 is divided by c(-7)?
4
Suppose -k + 227 - 105 = 0. Let h = k + -108. Let t = 110 - 13. What is the remainder when t is divided by h?
13
Suppose 2*q + 11*f - 13*f - 3476 = 0, 4*q - 6962 = 2*f. What is the remainder when q is divided by 16?
15
Suppose 5*f + 25 = -3*r - 69, 5*f = -25. Let o = -64 - -121. What is the remainder when o is divided by -3 - (0 - r)/(-5 - -4)?
17
Suppose 0 = -32*o + 183*o - 1342*o + 341817. Calculate the remainder when o is divided by ((-6)/15)/(4/(-580)).
55
Suppose 0*i = -5*v - 5*i - 210, 2*v - 3*i = -84. Suppose 1798 = 161*t - 7156 - 3604. Calculate the remainder when t is divided by v*(2 + (-10)/4).
15
Let p(m) = 2*m**2 + 234*m + 1575. Let j = -8 + 13. Suppose -j*u + 29 = -66. What is the remainder when p(-110) is divided by u?
16
Let q = -53 - 389. Let p = 474 + q. What is the remainder when 56 is divided by p?
24
Let o(w) = w**2 + 81*w - 1496. What is the remainder when o(-97) is divided by 4?
0
Suppose -2 = -4*d - 18, -3*d + 3 = 3*t. Suppose 0 = -2*f - f, t*l + f = 765. Calculate the remainder when l is divided by 13.
10
Let y = 3798 + -3299. Calculate the remainder when y is divided by 21.
16
Let u(a) = a**3 - 30*a**2 + 8*a - 56. What is the remainder when u(30) is divided by 109?
75
Suppose 4*c - 173 = 163. Let x = c + -127. Let k = x - -69. Calculate the remainder when k is divided by 7.
5
Suppose 14*w - 17*w - 25 = -4*x, 0 = 2*x - 4*w. Let v(o) = o**3 - 10*o**2 + 2*o - 14. What is the remainder when 10 i