 10 = 3*w - 4*x. Suppose -2*v + 14 = -w. Calculate the remainder when v is divided by s(5).
3
Let s(h) = -102*h - 2. Let z be s(-1). What is the remainder when 4 is divided by 2/11 + z/55?
0
Suppose 3*l - 3 + 36 = -3*r, 0 = l + 4*r + 23. Let z(g) = g**2 + 6*g. Suppose 0 = 3*i - 57 - 3. Calculate the remainder when i is divided by z(l).
6
Calculate the remainder when (3 + (-56)/16)*(-84 - 0) is divided by 16.
10
Let y = 1595 - 1432. What is the remainder when y is divided by 22?
9
Suppose -3*w = 4*q - 31, 3*q - 3*w = -q + 1. Calculate the remainder when 215 is divided by q.
3
Let f(d) = -2*d**3 - 5*d**2 + 3*d - 4. Let b be f(-5). Let y = -96 + b. Calculate the remainder when y is divided by 5.
0
Let l be (-5)/10*(2 - 2). Suppose l = 3*k - 2*k - 17. Let n = -7 - -12. Calculate the remainder when k is divided by n.
2
Let x be (-275)/(-4) - 2/(-8). Let z be x/12 + (-2)/(-8). Let o(t) = -t**2 + 7*t - 5. What is the remainder when 1 is divided by o(z)?
0
Calculate the remainder when -8 + 8 - (-5)/(15/1578) is divided by 33.
31
Suppose -22*z - 15*z + 999 = 0. Calculate the remainder when z is divided by 14.
13
Let v = 112 + -46. Suppose -v = -7*j - 4*j. What is the remainder when 1 + 2/2*21 is divided by j?
4
Suppose -d = -2*z + 3, -3*z - 7 + 4 = -4*d. Let m = 57 + z. What is the remainder when m is divided by 31?
29
Suppose -3*g + 95 = 2*s, 159 = 5*g + 64*s - 60*s. Suppose -y - 3*d = -55, -2*y + 4*d - 175 = -5*y. Calculate the remainder when y is divided by g.
30
Let h(v) = -2*v**2 - 100*v - 237. What is the remainder when 492 is divided by h(-47)?
42
Let k(a) = a**2 + 3*a - 8. Let s be k(-5). Let h be (3 - s)*(75 - 5). Suppose h = -0*m + 5*m. What is the remainder when m is divided by 4?
2
Suppose 4*z + 18 = 5*p, -12 = -p - 0*z - 2*z. Calculate the remainder when (87/p)/((-2)/(-4)) is divided by 10.
9
Let b(m) = m**2 + 8*m + 2. Let h be b(-8). Let a = 0 - h. What is the remainder when 109 is divided by ((-2)/3)/(a/84)?
25
Let o = 427 + -378. Calculate the remainder when 353 is divided by o.
10
Suppose -4*s - 47 = -267. What is the remainder when s is divided by 8?
7
Let q = 258 - 102. Calculate the remainder when q is divided by 48.
12
What is the remainder when (7 - 6) + -1 + 56 is divided by 32?
24
Suppose 75 = 3*i + 2*i. Let b = i - 4. Let h(k) = -2*k**3 - 2*k**2 + k - 3. What is the remainder when h(-3) is divided by b?
8
Let q(b) = 51*b**2 - 2*b - 3. Let a be q(-1). Suppose 7*l - 160 = a. What is the remainder when l is divided by 4?
2
What is the remainder when 467 is divided by (-108)/(-8) + 1/(-2)?
12
Let p be (-6)/(48/580)*-10. Suppose 5*l + 130 - p = 0. Suppose 0 = -0*c + 2*c - 60. What is the remainder when l is divided by c?
29
Suppose 2*a + 2*a = -4*q + 160, -136 = -4*a + 2*q. Suppose 0 = -5*z - a + 226. Calculate the remainder when z is divided by (5*1)/(1/4).
18
Let h = -80 - -130. Calculate the remainder when h is divided by (-19)/(-1) + 3*4/(-6).
16
Suppose 37*x = 47*x - 3690. What is the remainder when x is divided by 119?
12
Suppose q + 44 = 51. Suppose q*n - 501 = 24. What is the remainder when n is divided by 23?
6
Let k be 0 + 5 + -39 - 5. Let g = k + 51. What is the remainder when g is divided by 7?
5
Suppose -1 = -3*t + 11. Suppose -106 = -3*x - 4*f, -2*f + 49 = t*x - 89. Let s(u) = -2*u**2 - 69*u - 147. What is the remainder when x is divided by s(-32)?
8
Let u = -674 - -675. What is the remainder when 3 is divided by u?
0
Let z(p) = -p**3 - 4*p**2 - 2*p + 3. Let t be z(-3). Let k be (-3 + t)*5/(-3). Suppose 0 = -k*v - 0*v + 125. What is the remainder when v is divided by 13?
12
Suppose 2*q - 1875 = 4*b + b, -5*b + 930 = q. Suppose 5*f + i + 0*i - 959 = 0, -5*i = -5*f + q. What is the remainder when f is divided by 48?
47
Let i be 2 + (4 - -4)/2. Suppose -i*g + 308 = -2*g. Let f(a) = -6*a - 2. What is the remainder when g is divided by f(-3)?
13
Let g = -126 - -140. What is the remainder when 459 is divided by g?
11
Suppose -1006 = -6*v - 22. What is the remainder when v is divided by 56?
52
What is the remainder when 93*12/(-54)*1*-6 is divided by 45?
34
Let c(z) = -z**3 - z**2 + 29*z - 8. Let h be c(-6). Let m be (-4)/14 + (-951)/(-21). Let s = m - h. What is the remainder when s is divided by 12?
11
Let n = -68 + 78. Suppose 2*h = -5*q + 17, 3*h - 3 = -3*q - 0*q. Suppose 45 = j - 2*d, -q*j + 0*d = -2*d - 193. Calculate the remainder when j is divided by n.
7
Let c(q) = 15*q - 57. Calculate the remainder when c(15) is divided by 44.
36
Suppose 2*j + 2 = 3*j. What is the remainder when -177*(j - (-30)/(-9)) is divided by 34?
32
Let n = -85 - -125. Suppose -4*t + 4 - 2 = g, 3*g - 46 = -4*t. What is the remainder when n is divided by g?
18
Let x(o) = o**2 + o - 4. Let q be (-12 - -10) + 2/(-2). What is the remainder when 7 is divided by x(q)?
1
Let u(g) = g**2 - 2*g + 3. Let v = -1602 + 1621. Calculate the remainder when v is divided by u(4).
8
Let q(u) = -u**3 - 34*u**2 + 61*u + 22. What is the remainder when q(-36) is divided by 108?
94
Let h(k) = -k**3 + 7*k**2 + 8*k - 21. Let m be h(7). Suppose -m*r + 31*r = -500. What is the remainder when r is divided by 32?
29
Let z(u) = -u**3 + u**2 - 2*u**2 + 0*u - 3*u**2 + 11*u + 4. What is the remainder when z(-7) is divided by 15?
14
What is the remainder when 807 is divided by (-19 + -1)*-5 - 14/(-14)?
100
Let h(w) = 2*w + 1. Let u be (1/3)/((-4)/(-684)). Let l = u + -31. What is the remainder when l is divided by h(3)?
5
Calculate the remainder when -12 - 3*(0 - 33) is divided by 32.
23
Let n be ((-15)/20)/(6/(-16)). Suppose -4*q + 5*x = -70, 4*q - n*q + 5*x - 20 = 0. Let l = 84 + -26. What is the remainder when l is divided by q?
13
Suppose -900 + 308 = -16*m. What is the remainder when 184 is divided by m?
36
Let j = -357 + 386. What is the remainder when 81 is divided by j?
23
Let f be (2/5)/(3/115)*3. Suppose 59*r = 57*r + f. Calculate the remainder when r is divided by 8.
7
Let w(a) = 11*a**3 - 2*a**2 - 3*a + 5. Let y be (1 - 1)*(-3)/(-6). Let t be 15/(y - -3) - 3. What is the remainder when w(t) is divided by 20?
19
Suppose -17 = -l - 4*y + 54, -5*l + 447 = -3*y. What is the remainder when l is divided by 42?
3
Suppose 4*n = h - 42, -3*h + 27 = -4*n - 59. Let w be 3 + 5/(15/(-18)). Let c = w + 45. Calculate the remainder when c is divided by h.
20
Let m = -131 - -187. Let w = m + -12. Suppose t - 5*t + w = 4*g, 4*t = -5*g + 43. Calculate the remainder when 34 is divided by t.
10
Suppose 2*s = -3*o + 11 + 48, -3*o + 56 = -s. Let l = o - 7. Suppose l = -3*b + 81. What is the remainder when b is divided by 8?
7
Let m(k) = k**3 + 12*k**2 - 13*k + 12. Let a(g) = g**3 + 8*g**2 - 4*g. Calculate the remainder when a(-5) is divided by m(-13).
11
Suppose -5*x - 2*d = -32, -x + 2*x = -4*d + 10. What is the remainder when 19 is divided by ((-4)/2 + -18)*x/(-12)?
9
Let x be ((-34)/(-6) - -1)*3. Suppose 120 = -x*o + 25*o. Suppose 0 = -3*c + 2*c + o. Calculate the remainder when c is divided by 9.
6
What is the remainder when 8 + (-4)/((-12)/183) is divided by 16?
5
Suppose 10*m = -4*r + 3*m + 81, 4*r + m - 63 = 0. Calculate the remainder when 1994 is divided by r.
14
Let u(d) = 2*d - 6. Let y be u(3). Suppose 314 = 5*m - j, y = 2*j - 4*j + 2. Calculate the remainder when m is divided by 22.
19
Let h = -475 + 505. What is the remainder when h is divided by 21?
9
Suppose 0 = -3*g + n + 102, n = -4*g + g + 96. Calculate the remainder when g is divided by 18.
15
Let j = 2 - -4. Suppose 5*f + j*x + 45 = x, -3*x = f + 15. Let r = f + 15. Calculate the remainder when 17 is divided by r.
8
Let v(g) = 3 - 6 + 13*g**2 + 15*g - 5*g - 6. Let k(f) = 2*f**2 - 6*f + 7. What is the remainder when k(5) is divided by v(1)?
13
Let v(i) = 9*i + 117. What is the remainder when 69 is divided by v(-12)?
6
Suppose 15 = s + 5*u - 35, 50 = 3*s - 5*u. Suppose 5*t + 4*y = 2*y + 235, 3*t - 141 = 4*y. Calculate the remainder when t is divided by s.
22
Suppose -112 = 20*h - 572. Calculate the remainder when h is divided by 2.
1
Suppose -9*g + 2 = -7*g. Calculate the remainder when ((-3)/((-3)/59))/g is divided by 30.
29
Suppose 3*l = -21 - 9. Let c = 8 + -4. Calculate the remainder when 3 - l - (0 + 2) is divided by c.
3
Let g(w) = 5*w**2 - 43*w - 12. Calculate the remainder when 48/(-4)*10/(-3) is divided by g