2*o - 5*m + 29 = -0*o. Calculate the remainder when o is divided by 4.
0
Let b = 4 + -2. Let k = -169 - -294. Suppose -3*m + k = b*m. Calculate the remainder when 73 is divided by m.
23
Let c be (-94)/(-14) - 4/(-14) - 0. Let b = c + 2. What is the remainder when 53 is divided by b?
8
Suppose 4*p - 18 = -3*g + 5*p, -g + 22 = 5*p. What is the remainder when 23 is divided by g?
2
Let v(j) = -j**3 - j**2 + 3*j + 3. Let h be 25/5 + -1 + -2. Suppose -h*n - 12 = n. Calculate the remainder when v(n) is divided by 10.
9
Let h(m) = 5*m. Let x be h(-1). Let y = x + 12. What is the remainder when y is divided by (6/(-4))/((-39)/130)?
2
Suppose h - 4 = 0, 3*f + 0*h - 2*h = -2. Suppose -f*b = 3*b - 225. What is the remainder when b is divided by 12?
9
Suppose -37 = 9*w + 17. Let v = 21 - w. What is the remainder when v is divided by 8?
3
Let p(q) = 4*q**2 + 9*q - 22. Let k(b) = 3*b**2 + 9*b - 23. Let y(i) = 3*k(i) - 2*p(i). What is the remainder when 51 is divided by y(-13)?
24
Let z = 890 + 9. What is the remainder when z is divided by 90?
89
Suppose 3*j - 13 = 2*j. What is the remainder when 1372/42 - 2/3 is divided by j?
6
Let d(o) = o**3 + 11. Let u(p) = p**3 - p**2 + p - 1. Let c be u(1). Suppose 59*s = 43*s + 336. What is the remainder when s is divided by d(c)?
10
Let s = -6 - -8. Suppose -92 = 4*z - y + 4*y, 5*z + 138 = s*y. Let w = -13 - z. Calculate the remainder when 37 is divided by w.
11
Suppose 460 = 169*s - 165*s. Let o = s - 102. Calculate the remainder when 34 is divided by o.
8
Suppose 4*x - 26 = 218. Suppose -211 = -3*d + 5*q, 0 = d + 2*q + q - x. What is the remainder when d is divided by 23?
21
Let w(g) = -g**3 + 5*g**2 + 3*g - 11. Suppose 4*r + 4 = 4*f - 8, 5*f - 23 = r. What is the remainder when 41 is divided by w(f)?
1
Let z be 0 - 5/(5/(-4)). Let p = 14 - z. Suppose 3*f = p + 14. What is the remainder when 14 is divided by f?
6
Suppose -s - 21*n = -17*n - 196, -3*n - 12 = 0. What is the remainder when 854 is divided by s?
6
Let f be 288/(-12)*(-2)/4. What is the remainder when -6*(3 - 40/f) is divided by (-3)/((-2)/((-12)/(-9)))?
0
Suppose 22 = -11*j + 2024. What is the remainder when 556 is divided by j?
10
Let p(l) be the first derivative of 7*l**4/2 + l**2/2 - l + 1. What is the remainder when 23/(0 + (-6)/(-18)) is divided by p(1)?
13
Let c(t) = t**2 - 2*t - 1. Let l be (-1 - 8/(-6))*6. Suppose 0 = -2*f + l*s - 6*s + 2, 3*s = 3. Calculate the remainder when 6 is divided by c(f).
0
Suppose -14*m = -8*m + 408. Let h = 123 + m. What is the remainder when h is divided by 7?
6
Suppose h - 5*g - 43 = 0, -5*h - 4*g + 71 - 1 = 0. Suppose -1 = -y + h. What is the remainder when y is divided by 7?
5
Let w(i) = 19*i - 4. Let u = 120 - 120. Suppose -2*k = -o + 18, -o - o - 3*k + 22 = u. Calculate the remainder when w(3) is divided by o.
11
Let p(j) = 2*j**2 - 12*j + 8. Let w be p(6). Calculate the remainder when 197 is divided by 32/12*(1 - (-46)/w).
17
Let q be (-1768)/(-20) - ((-39)/15 - -3). Suppose -3*a = -12 - 0. What is the remainder when (366/(-8))/(-3) + (-22)/q is divided by a?
3
Suppose -4*h = 4*a - 1 - 19, 2*a = 4*h - 14. Let y(v) = 28*v + 1. Let k be y(a). Suppose -2*r + k = -11. Calculate the remainder when 57 is divided by r.
17
Let q(f) = -f**2 + 16*f + 26. Calculate the remainder when 1/(-3) + (-146)/(-6) is divided by q(17).
6
Let l = -30 - 4. Let b = 44 + l. Calculate the remainder when 16 is divided by b.
6
Let c = 13 + -3. What is the remainder when 24 is divided by c?
4
Let m be (0 - 1) + 5 + 18. Let f(h) = -h**3 + 21*h**2 + 22*h + 2. Calculate the remainder when 5 is divided by f(m).
1
Let q be (-4)/(-22) - (-136)/(-22). Suppose -2*b - 10 = -4*b. What is the remainder when 9/q*28/(-6) is divided by b?
2
Let v = 5 - -8. Suppose 2*o + 48 = 4*o. Calculate the remainder when o is divided by v.
11
Let r = -697 + 909. Calculate the remainder when r is divided by 53.
0
Suppose 3*n - 24 = -9*n. Calculate the remainder when (6/2)/((-6)/(-4)) is divided by n.
0
Let z(o) = o**3 + 3*o**2 + 2*o. Let q be z(3). Let l = 71 - q. Calculate the remainder when 30 is divided by l.
8
Suppose 102*d - 20*d = 3280. Calculate the remainder when 127 is divided by d.
7
Suppose 98 = 4*m - 114. What is the remainder when 135 is divided by m?
29
Suppose 39 = 13*p - 39. Calculate the remainder when 79 is divided by p.
1
Let c = -19 + 21. Suppose -c*b + 159 - 83 = 0. Let j(v) = 9*v**2 - 2*v. Calculate the remainder when j(3) is divided by b.
37
Suppose -74 + 4 = -5*y. Let t(g) = 5 + y*g**2 - 16*g + 16*g. Calculate the remainder when t(-2) is divided by 16.
13
What is the remainder when 127 is divided by 3/(8/544*6)?
25
Suppose 5*j - 23 = 17. Let b = j + -6. Suppose -b*z + 1 = -3. Calculate the remainder when 7 is divided by z.
1
Let k(t) = t**3 + 10*t**2 - 7*t + 2. Suppose -181*p - 3*q = -186*p + 208, 5*q + 169 = 4*p. Calculate the remainder when k(-5) is divided by p.
39
Suppose 6 = 3*n - 0*n - 2*q, -4*q = 0. Suppose 0*u = n*u - 18. Suppose a = -5*i - 4, -2*i - 20 = -2*a + 2*i. Calculate the remainder when u is divided by a.
3
Let t = -435 + 446. What is the remainder when 196 is divided by t?
9
What is the remainder when 5 - 19*(6/(-1) + 5) is divided by 7?
3
Let l(w) = w**2 + 14*w + 19. Suppose -2*z + t = -t - 48, -128 = -4*z - 4*t. Calculate the remainder when z is divided by l(-13).
4
Suppose l - 118 = -2*i + 51, 5*i - 427 = 2*l. What is the remainder when i is divided by 23?
16
Let a be 8/(-3)*27/(-18). Suppose l - 20 = -5*b, 23 = a*b + 7. Suppose l = f - 4*h - 56 - 34, 3*h - 195 = -3*f. What is the remainder when f is divided by 18?
16
Calculate the remainder when 430 is divided by 6/9*2091/34.
20
What is the remainder when 8 + -11 + 6 + 34 is divided by 28?
9
Suppose 5*a - 58 = 2*s + 48, 5*a - s = 103. Suppose -a*t = -24*t + 76. What is the remainder when 37 is divided by t?
18
Let o(p) = 5*p**2 + 24*p - 46. Calculate the remainder when 43 is divided by o(2).
21
What is the remainder when 248 is divided by (1660/15)/((-5)/(-30)*8)?
82
Let j(t) = 144*t + 168. Calculate the remainder when 1390 is divided by j(-1).
22
Suppose -2*z - 3*z + 220 = 0. Calculate the remainder when z is divided by 6/(-2) - (-28 + (19 - 9)).
14
Let h(k) = k**3 + 20*k**2 + 18*k + 12. What is the remainder when h(-19) is divided by 4?
3
Suppose -2*i - 3*v + 232 = -i, -2*v = 2*i - 472. What is the remainder when i is divided by 60?
58
Let f = 1678 + -1665. Calculate the remainder when 219 is divided by f.
11
Suppose 5*c + d + 686 = 9*c, -2*d = 4. What is the remainder when 519 is divided by c?
6
Let v(a) = a**2 - 8. Let w be ((-2)/2)/(-2 - (-35)/20). Calculate the remainder when 39 is divided by v(w).
7
Suppose 0 = 8*v - 23 - 1. Suppose -l - 2 = -m, -v*l + 3*m = 2*m - 2. Calculate the remainder when l is divided by 3*((-6)/(-9))/1.
0
Let p = 92 - 53. Calculate the remainder when 56 is divided by p.
17
Let x(d) = 5*d**2 - d + 2. Calculate the remainder when 94 is divided by x(-3).
44
What is the remainder when (-326)/(-5)*(-2)/(-4) + 124/310 is divided by 2*((-30)/(-4))/3?
3
Suppose 0 = -3*h + 2*h + 100. Suppose b - h = -b. Let p = 20 + -7. Calculate the remainder when b is divided by p.
11
Suppose 12 = 2*x + x. Suppose -3*o = o + x*m - 80, -2*m = -4. Calculate the remainder when o is divided by 10.
8
Let j = 54 + -27. Let s = j + -11. Calculate the remainder when ((-122)/(-1220))/((-1)/(-290)) is divided by s.
13
Suppose 318*b + 6867 = 327*b. Calculate the remainder when b is divided by 5.
3
Suppose 2*n = 4*n - 116. Let q = -43 + n. What is the remainder when q is divided by 6?
3
Let b(i) = -i**3 - 7*i**2 + 5*i + 79. Calculate the remainder when 28 is divided by b(-6).
2
Suppose 366 = 3*l + 5*f, 5*f = 2*l - 0*l - 269. Let b = l + -66. What is the remainder when b is divided by 16?
13
Let u(q) = 141*q**2 - q. Let i(t) = -t**2 + 26*t - 33. Calculate the remainder when u(-1) is divided by i(23).
34
Suppose 0 = -t - 5*g - 32 + 151, 551 = 5*t + 3*g. Calculate the remainder when t is divided by 38.
33
Suppose 2*y - d = 23, 27 = 2*y - 4*d - 11. Let o(m) = -5*m + 28. Let a be o(y). Let c = a + 24. What is the remainder when 38 is divided by c?
3
Suppose 0 = -5*s + 27*s - 1342. What is the remainder when s is divided by 8?
5
Let d(y) = -18*y - 14. What is the remainder when