1).
132
Let x = -10698 + 10731. Calculate the remainder when 538 is divided by x.
10
Suppose -l = -6 + 4. Suppose l*k = -2*d - 68, 0 = -2*d - 2*k + 3*k - 83. Let m = d + 50. What is the remainder when 54 is divided by m?
10
Let u(p) = 79*p**2 + 11*p - 7. Let o be u(-4). Suppose 10*g - 517 - o = 0. What is the remainder when g is divided by (132/9)/((-1)/(-3))?
41
Suppose 20*m + 44 = 344. Calculate the remainder when 141 is divided by m.
6
Let f = -55 + 61. Suppose f*g = g - 9*g. Suppose -9*y - 19 + 388 = g. Calculate the remainder when y is divided by 4.
1
Suppose 9*r - 12331 = -18*r + 19745. What is the remainder when r is divided by 73?
20
Calculate the remainder when 3046 is divided by (-14)/(-1)*(-92 + 94).
22
What is the remainder when 358 is divided by (920/(-45))/(4 - 304/72)?
82
Let v(k) = -157*k - 43. Let p be v(4). Let s = p + 715. What is the remainder when 214 is divided by s?
38
Let t(h) = 11*h**3 - 155*h**2 + 19*h + 1. Calculate the remainder when 372 is divided by t(14).
17
Suppose 0 = -3*n + 2*n + 5. Suppose -2*s = 5*s - 973. Calculate the remainder when s is divided by n.
4
Let d(g) = 4*g + 1. Let q(n) = n**2 - 636*n + 83984. Calculate the remainder when q(187) is divided by d(2).
3
Suppose 439*b = 437*b + f + 195, 4*f = 28. What is the remainder when 7978 is divided by b?
100
Suppose 3*h + 21*w - 22*w = 322, -342 = -3*h - 3*w. Calculate the remainder when 219 is divided by h.
1
Let u(n) = n**2 + 13*n + 50. Let i be u(-8). Suppose 0 = i*a - 17*a + 308. What is the remainder when 260 is divided by a?
40
What is the remainder when ((-2 + 1)*-10)/((216/11280)/9) is divided by 168?
164
Suppose 2*u - 10 = -6. Suppose 3*j = -5*x + 1118, 352 = u*j - 5*x - 360. Calculate the remainder when j is divided by 46.
44
Suppose 0 = -9*o + 192 + 96. What is the remainder when 746 is divided by o?
10
Let u be (-2)/(3/9*6). Let i be u/(-2) + 207/18. Calculate the remainder when 54 is divided by 246/i + (-3)/2 - -2.
12
Suppose 0 = -4*v + 14*v - 100. Let c = 9 - 8. What is the remainder when (-54)/((6/(-4))/c) is divided by v?
6
Suppose 0 = 4*c + 8, -j + 178*c = 181*c - 184. Calculate the remainder when j is divided by 18.
10
What is the remainder when 582 is divided by 500/4 + -32 + 25?
110
Let b = -989 - -352. Let a = -628 - b. Calculate the remainder when 53 is divided by a.
8
Suppose 0 = s + 5*d - 69, 73*s - 68*s - 465 = -d. What is the remainder when 435 is divided by s?
59
Suppose -4*f - 3*g + 10 - 3 = 0, -3*g + 3 = 3*f. Suppose f*h - 567 = 2*h + k, 5*h = -3*k + 1412. Calculate the remainder when h is divided by 15.
13
Calculate the remainder when 8/(-12)*(2185/(-10) - -13) is divided by 13.
7
Let b = -24 + 42. Suppose g = -5*y - 7, -2*g + 5 = -3*y - 7. Suppose -x + 6 = -g*x, -4*x - 135 = -s. Calculate the remainder when s is divided by b.
15
Suppose -5*t = -15 - 0. What is the remainder when (-111)/(-6)*(5 - t) is divided by (55 - -2)/3*1?
18
Let w(p) = -12*p**3 + 12*p**2 + p + 1 + 13*p**3 - 6*p**2. Let r be w(-3). Suppose 8*y - r = 39. What is the remainder when 39 is divided by y?
7
Let p be (-2236)/(-602) + (1 - (-10)/(-14)). Suppose -678 - 370 = -2*y + 3*l, p*l = 2*y - 1048. What is the remainder when y is divided by 53?
47
Suppose 3*y - 19 = 5*b, -6*y + y + 69 = b. Suppose -5*q - 3*j = -16, y*j - 8*j - 10 = 0. Calculate the remainder when 22 is divided by q.
0
Let q be (2 - 9)*6/(-42) - 1. Calculate the remainder when 94 is divided by (3/(-4) - q)/((-297)/1980).
4
Let v = -1 + -2. Let g(b) = b**3 - b**2 - 3*b. Let q(t) = -6*t**3 + t**2 + 16*t - 1. Let a(f) = -5*g(f) - q(f). What is the remainder when a(v) is divided by 8?
5
Suppose 215*b - 65*b = 590938 + 1090262. What is the remainder when b is divided by 111?
108
Let v = -3354 + 4252. Calculate the remainder when v is divided by 185.
158
Let y(c) = c**2 - 4*c - 1324. Calculate the remainder when 468 is divided by y(40).
4
Suppose 2795*h - 2565 = 2776*h. What is the remainder when 2275 is divided by h?
115
Suppose 90*v + 99*v - 1059 = -303. Calculate the remainder when 51 is divided by v.
3
Suppose -3*m - 22 + 172 = 0. Suppose 3*r = m - 14. Suppose -4*g - 2232*i - 20 = -2236*i, -6*g = -i - 10. Calculate the remainder when r is divided by g.
0
Let u = -6 + 9. Let i = u + 14. Let z = -19081 + 19161. Calculate the remainder when z is divided by i.
12
Suppose 6*g + 35 - 59 = 0. Suppose -5*s - 3*l + 53 = 0, 0*s - 3*l = -g*s + 64. Calculate the remainder when 88 is divided by s.
10
Let c = -4428 - -4552. Calculate the remainder when 978 is divided by c.
110
Suppose -h + 9 = 2*h - 4*c, 0 = -c - 3. Let q be (46/46)/(h/(-120)*2). Calculate the remainder when (-8 - 0)/((-4)/q*3) is divided by 11.
7
Let j(x) = x**3 + 3*x**2 - 6*x - 1. Let c(o) = -o**3 - 4*o**2 + 7*o + 2. Let d(t) = -3*c(t) - 4*j(t). What is the remainder when d(-5) is divided by 30?
18
Suppose -u + 5 = -0. Let k(o) = 15*o - 31. What is the remainder when 85 is divided by k(u)?
41
Let x(g) = 2*g - 8. Let z be x(21). Let q = z - 34. Suppose q = -0*a - a - 3*h - 3, -7 = -a - h. What is the remainder when 35 is divided by a?
11
Suppose -i = -3*d - 38, -1865*d + 1869*d = -i + 17. Let k be 3*(-59)/(-6)*-2. Let s = -6 - k. Calculate the remainder when s is divided by i.
24
Suppose 413*t = -11*t + 1233840. Calculate the remainder when t is divided by 9.
3
Suppose 12*i = 13*i, -3*i - 212 = -4*x. Calculate the remainder when 7260 is divided by x.
52
Suppose -3*g + 120 = -5*n, -5*n + 2*g = -n + 94. Let p(k) = -45*k**3 - k**2 - k - 1. Calculate the remainder when p(-1) is divided by (0 - n) + 1 + 6/3.
20
Let b(v) = 2*v + 33. Let d(f) = f + 17. Let m(x) = 4*b(x) - 7*d(x). Let u be m(-7). Calculate the remainder when u + -4 + 21 + 0 is divided by 12.
11
Let g(r) = 5*r + 34. Let v be g(-5). Suppose 2*q - 3*x = 971, -v*x + 498 = q - 8*x. What is the remainder when q is divided by 55?
53
Let p(h) be the second derivative of -3*h**3/2 - 6*h**2 - 10*h. What is the remainder when 2 + -1 + 1 - (-80 - 9) is divided by p(-4)?
19
Suppose -2*u = -g + 41 + 33, g + 5*u - 95 = 0. Calculate the remainder when g is divided by 59.
21
Let f(n) = 124*n + 2. Let a be f(2). Suppose -90 = 5*l - a. What is the remainder when l is divided by 138 + -137 + (3 - 6)*-2?
4
Suppose 32 = 2*w + 8. Let m = 75 + -73. Suppose 0 = 3*x + y - 168, 0*x - 105 = -m*x - 3*y. What is the remainder when x is divided by w?
9
Let z(o) = -7 - o - 3 + 2. Let h be z(-11). Suppose w - 2*m - 53 = h*m, 5*w - 265 = -m. What is the remainder when w is divided by 14?
11
Calculate the remainder when 12 + -17 + 232174/12 - (-34)/204 is divided by 39.
38
Suppose 5*k = b - 5, 2*b = 3*k + 4 - 1. Suppose b = -29*h + 2492 + 640. Calculate the remainder when h is divided by 56.
52
Suppose 0 = 5*p - 4*a - 3455, -4*a + 1017 = 997. Calculate the remainder when p is divided by 87.
86
Let c(v) = 8*v + 75. Let k be c(-9). Suppose -3*d = -k*o - 69, -3*d + o + 18 = -43. What is the remainder when 225 is divided by d?
16
Let m(z) = z**2 - 4*z - 10. Let y be m(7). Let a = y + -1. Calculate the remainder when a is divided by 2178/(-4719)*26*(-2)/6.
2
Let r = 22055 + -22022. Calculate the remainder when 3363 is divided by r.
30
Suppose -3*i + 1583 = 4*c, -3*i + 4*c = -746 - 845. Calculate the remainder when i is divided by 28.
25
Let r = -21023 + 21269. What is the remainder when 6392 is divided by r?
242
Let d(o) = -o**2 + 12*o - 5. Suppose -4*f - 5*i = -188, 365*f = 366*f + 3*i - 33. Calculate the remainder when f is divided by d(7).
27
Let u be (0 - 2)/((-24)/(-108)). Let i = u + 11. Suppose -4*t = f + 1, -i*t + 38 = 5*f - f. What is the remainder when 53 is divided by f?
9
Let r = -2731 - -2875. What is the remainder when 3886 is divided by r?
142
Suppose 3*d + 52 = -2*l, d = -l - l - 56. Let b = l + -102. Let i = b - -144. Calculate the remainder when 58 is divided by i.
6
Let b = 7022 - 6968. Calculate the remainder when 257 is divided by b.
41
Let u be (-6)/(-45) - (-115272)/135. Suppose -u = -305*d + 298*d. What is the remainder when d is divided by 40?
2
Let h = 2439 - 1497. What is the remainder when h is divided by 31?
12
Let v = 307 + -277. Calculate the remainder when ((-45)/(-20) - 1)*(-116)/(-1) is divided by v.
25
Let h(d) = 45*d**2 - 16*d + 11. Let z be h(4). Suppose -10*g + z - 167 = 0. What i