uppose -5*i + 3*y = -13, 3*i - 21 = 5*y - 10. Let w = -14896 - -14915. Calculate the remainder when w is divided by i.
1
Suppose 24 + 24 = 4*j. Let t = -10 + j. Suppose -132*d + 125*d = -91. Calculate the remainder when d is divided by t.
1
Let h(g) = g**3 + 3*g**2 + 2*g + 1. Let w be h(0). Suppose -3*q - 27 + 4 = -4*t, -2*q - t = 8. What is the remainder when 55 is divided by (-8)/((w + q/6)*-4)?
7
Let v(y) = 36*y**3 - 88*y**2 + 460*y + 16. Calculate the remainder when v(5) is divided by 231.
227
Suppose -q = -4*d - 57, -2*q + 6*d - 3*d + 89 = 0. What is the remainder when q is divided by 31?
6
Let a(o) = 2*o**3 - 203*o**2 - 1635*o + 27. What is the remainder when 905 is divided by a(109)?
14
Let v be 30/7 + (-12)/42. Suppose -v*q - 5*g + 41 = 0, -q + 0*q + 6 = -3*g. Let j(n) = -19*n - 70. Calculate the remainder when j(-5) is divided by q.
7
Let w be (-491)/3 + 1/(-3). Suppose 5*c + 183*m = 181*m + 1178, -3*m - 256 = -c. Let i = c + w. What is the remainder when i is divided by 38?
36
Calculate the remainder when 622 is divided by (-105)/(56/(-18) - 1/(-9)).
27
Let r(a) = -a**3 + 47*a**2 + a + 96. What is the remainder when r(47) is divided by 2/4 + (3 - 170/(-20))?
11
Let j = -18947 + 20321. Calculate the remainder when j is divided by 1347.
27
Suppose -3*j = j - 8, -4*j - 146 = 2*t. Let g = 163 - 124. What is the remainder when t/(1/6 - (-2)/(-3)) is divided by g?
37
Suppose 4*a - 412 = -4*j, -4*j + a - 151 = -553. Suppose 2*h + 99 = 2*y + 7*h, -2*y + 103 = h. What is the remainder when j is divided by y?
49
Let j be 20/(-9) - (-20)/90. Let f be ((-14)/(-7))/(j/(-4)). Suppose -f*n = -2*b + 16, 12 = b + n - 2*n. Calculate the remainder when 46 is divided by b.
14
Let k = -75 + 96. Let p = 7 + 0. What is the remainder when 573/k - (63/49 - 1) is divided by p?
6
What is the remainder when (-15)/(-120) - (-45114)/48 is divided by 41?
38
Let z = 8 + -2. Suppose 0 = -66*u + 67*u - 6. What is the remainder when 127 is divided by 35 - (z - (u - 3))?
31
Suppose -3*z + 6 = 3*q, -2*q - 2 + 1 = z. Suppose -215 - 702 = -z*v - 2*u, -3*v = 2*u - 547. Calculate the remainder when v is divided by 38.
33
Suppose 0 = 4*v + 2*n - 1106 - 222, 0 = -3*v + 4*n + 974. What is the remainder when v is divided by 123?
84
Suppose 7*u = 3 + 172. Let b(r) = r**2 - 23*r - 3. What is the remainder when b(u) is divided by (15/(-20))/(1/(-8))?
5
Suppose -73*q - 52*q = -157*q + 544. Calculate the remainder when 107 is divided by q.
5
Let x be (-6)/((-10)/(-4) - 3). Suppose -2*h + 361 = -5*t, 19*h - 5*t = 23*h - 737. What is the remainder when h is divided by (-8)/x + (-140)/(-3)?
45
Let a = 3284 - 3218. Calculate the remainder when 721 is divided by a.
61
Let d = -8 + 4. Let c(h) = -6*h + 198. Calculate the remainder when ((-282)/d)/((-4)/(-8)) is divided by c(27).
33
Suppose -2*v + 5*m + 5847 = 0, 4*v + 330*m = 332*m + 11686. Calculate the remainder when v is divided by 969.
14
Suppose -613 = -3*c + p, -2*c + 100*p = 98*p - 414. Calculate the remainder when 615 is divided by c.
6
Let m(r) = 9*r**2 - 16*r - 2. Let z(c) = -45*c**2 + 82*c + 10. Let l(p) = 11*m(p) + 2*z(p). Calculate the remainder when l(-5) is divided by 13.
10
Let l(r) = 2*r**2 + 78*r - 484. What is the remainder when 7557 is divided by l(6)?
53
Let b = -11 - -24. Let g(q) = -q**2 - 19*q - 7. Let s be g(-16). Suppose 78 = 2*f - 3*d, -5*f - d + 137 = -s. Calculate the remainder when f is divided by b.
10
Let t = 263 - 257. What is the remainder when t is divided by 2?
0
Let u(x) = x**3 + 8*x**2 + 4*x. Let c be u(-7). Let d = 2496 - 2468. Calculate the remainder when d is divided by 6/c + 108/14.
4
Let x be ((-36)/12)/(2/42). What is the remainder when 484/6 + (-84)/x is divided by 12?
10
Let g(x) = 3*x + 9. Let s be g(0). Let c(n) = 70*n**2 + 8*n - 57*n**2 - 8 - n**3 + s*n. Calculate the remainder when c(14) is divided by 9.
7
Let i(h) = 3*h**2 + h - 1. Suppose 5*f + 49*t - 1263 = 56*t, -2*t = -3*f + 760. What is the remainder when f is divided by i(4)?
50
Let o = -66 + 69. Suppose -o*u + 6 = -4*p + 6*p, -20 = 5*u. Let m = 19 + -3. Calculate the remainder when m is divided by p.
7
Let n be (1 - 0 - 3)/(7 - 8). Calculate the remainder when 68 is divided by 1/(n - (-244)/(-124)).
6
Let w be 3/(-8 - -2)*(57 - 11). Let h(k) = -k**3 - 23*k**2 - 2*k - 37. What is the remainder when 51 is divided by h(w)?
6
Let f be 7/4 - 9/(-36). Let v be f/(-4) - 6/(-12). Suppose -3*w + 5*u - 8 = -4*w, v = 2*w + 5*u - 31. Calculate the remainder when w is divided by 13.
10
Let a(l) = l**3 + 59. Suppose -111 = -9*p - 3. Let w be (p/(-2))/(-6) - (1 - 0). What is the remainder when a(w) is divided by 15?
14
Let u(n) = 2*n**3 - 2*n + 3. Let z(t) = t**3 - t**2 - 2*t + 2. Let s be z(0). Let o be u(s). Suppose d - 8 = o. Calculate the remainder when d is divided by 13.
10
Let g = 17149 + -15941. What is the remainder when g is divided by 236?
28
Let y = 31 - 25. Let u be -1 - 6*3/(-6). Suppose -y*b + 24 = -u*b. What is the remainder when 28 is divided by b?
4
Let p(q) = -10 + 6*q + 5*q**2 + 10 - q**3 + 7. What is the remainder when 101 is divided by p(5)?
27
Suppose -45 = 4275*k - 4280*k, 0 = g - 5*g + 5*k - 1. What is the remainder when (-7)/(-2)*(31 + -3) is divided by g?
10
Let y(a) = 4*a + 4*a**2 + 20 + 8*a**2 + a**3 - 2*a**2 - 58. What is the remainder when 81 is divided by y(-9)?
4
Suppose 2*u + 2*w + 48 = -32, 2*u + 3*w = -80. Let n = 66 + u. Suppose -3*h - 4*s = -65, 15*h - 19*h + 80 = 4*s. Calculate the remainder when n is divided by h.
11
Suppose -2*j + 8 = 4, 0 = 2*n - j - 4. Suppose 22 = n*z - 98. What is the remainder when 151 is divided by z?
31
Let f(i) = 12*i + 1518 - 1505 + i - i**2. Calculate the remainder when 82 is divided by f(13).
4
Suppose 76*k = -80*k + 133*k + 6026. Calculate the remainder when 5500 is divided by k.
260
Let h = -25 + -11. Let y be 21/4 - h/48. Suppose 0 = -4*o + 16, y*p - 4*p + 4*o - 42 = 0. What is the remainder when 33 is divided by p?
7
What is the remainder when 4*(-37376)/(-48) - ((-16)/(-12))/(-4) is divided by 38?
37
Let s = -52 - 88. Let w = s + 155. Let o = 6 + 23. Calculate the remainder when o is divided by w.
14
Let c = 27 - 22. Let k(b) = 2*b + 66. Let v be k(-26). Suppose -10*t + v*t - 116 = 0. Calculate the remainder when t is divided by c.
4
What is the remainder when ((-308)/(-187))/(-28) + 20475/119 is divided by (-2 + 4)*29/1?
56
Suppose 0 = -4*g - 2*v - 820, 0 = -g - 0*g - 3*v - 205. Let w = g + 264. What is the remainder when 410 is divided by w?
56
Let o = -6 + -2. Let d be (2 - -52) + (0 + -3)*1. Let u = d + o. What is the remainder when u is divided by 23?
20
Suppose -v + 1106 = 13*v. Suppose -5*d = -201 - v. Calculate the remainder when 164 is divided by d.
52
Suppose 0 = -4*l - 4*t + 380, 5*t = 5*l - 376 - 59. Suppose -80*g + l*g = 396. Calculate the remainder when 67 is divided by g.
31
Let p(m) = 6*m**3 - 35*m**2 - 28*m + 215. What is the remainder when 642 is divided by p(6)?
61
Let k = -5393 - -6542. What is the remainder when k is divided by 101?
38
What is the remainder when 3/9 + -14*2/(-6) + 1324 is divided by 122?
109
Suppose 0 = 2*j + 452 - 2986. Suppose 2*y - j = -5*y. Calculate the remainder when y is divided by 47.
40
Suppose 9*z = 10*z. Suppose 2*y + z = 6. Calculate the remainder when ((-44)/8 + 1)*-2 is divided by y.
0
Let b be -2*4/((-24)/(-123))*-1. Suppose -39*k + b*k = 2640. Suppose -8*t = -0*t - k. Calculate the remainder when t is divided by 28.
25
Let z(k) = 16*k. Let a be 2/(-7) + (-55)/77. Let v be z(a). What is the remainder when 103 is divided by v/(-1) + -1*(-2 + 3)?
13
Suppose 39 = -11*g + 24*g. What is the remainder when 30 + -4 + -6 - (-4 + g) is divided by 4?
1
What is the remainder when (-99)/27 + (-28)/12 + (-290)/(-2) is divided by 126?
13
Let v(d) = 6*d - 13. Let g be v(3). What is the remainder when 6*g/6 - -59 is divided by 28?
8
Suppose 5*i + 55 = x, -x - 13*i + 8*i + 35 = 0. Calculate the remainder when 437 is divided by x.
32
Let z = -22 - -148. Let q = z + -74. Let y(a) = a**2 + 23*a - 32. What is the remainder when q is divided by y(-25)?
16
Let n be 0/(2 - -5) + 0/2. Suppose -4*x + 14*v + 204 = 13*v, 3*x + 5*v - 130 = n. What is the remainder when 180 is divided by x?
30
Let g(d) = -d**2 + 8 + d - 8*d - 13. Let m be g(-2). 