48, -h = 2. Let x = 327 - z. Suppose -40 - 1 = -2*b + a, -5*b = a - x. What is the remainder when 38 is divided by b?
18
Let x(c) = -2*c**2 + 9*c - 15. Let j be x(3). Let a be (-3 - j)/(-3) - (-6)/(-3). What is the remainder when 10 + 15 + a + 1 is divided by 12?
11
Suppose -10*k + 781 + 1182 = -1927. What is the remainder when k is divided by 21?
11
What is the remainder when 336 is divided by 28/(3 - (-17)/(-6))?
0
Let j(y) = -6*y + 130. Let a be (-4 - 2)/((-18)/63). What is the remainder when 51 is divided by j(a)?
3
Let l = -803 + 850. Calculate the remainder when 662 is divided by l.
4
Let b = -8524 + 8661. Let p = -11 - -31. What is the remainder when b is divided by p?
17
Suppose 20 = 5*n, -4*w + 932 - 196 = n. Calculate the remainder when 712 is divided by w.
163
Let g be ((1*-1)/((-7)/(-7)))/(-1). Let h be ((-9)/(-9))/(g/165). Suppose 0 = -3*q - 0*q + h. What is the remainder when q is divided by 29?
26
Suppose -26 + 50 = 5*j + 3*v, 0 = -2*j + 2*v. What is the remainder when 802 is divided by j?
1
Let l(m) be the first derivative of 5*m**2/2 + 2*m + 11. Let o be l(1). Calculate the remainder when 11 is divided by o - (-3 + (1 - -1)).
3
Suppose 0 = 114*t - 60*t - 2916. Calculate the remainder when 208 is divided by t.
46
Suppose 45 = z - 3*s, 132 = 2*z - 2*s + 2. What is the remainder when -148*((0 - -2) + -3) is divided by z?
73
Let z(g) = -6*g**3 + 88*g**2 + 33*g - 25. Calculate the remainder when 345 is divided by z(15).
5
Suppose d = x - 1278, 2*d + 1275 = -17*x + 18*x. What is the remainder when x is divided by 37?
23
Suppose -2*r + 25 = -75. What is the remainder when ((-7)/(49/(-2583)))/(-3 + 27/6) is divided by r?
46
Let p = -464 - -805. Let u = -198 + p. Suppose 3*l - 7 - 172 = -4*b, -5*l - 4*b = -277. What is the remainder when u is divided by l?
45
Let p = -34 - -604. What is the remainder when 108 is divided by p/35 + 8 + 6/(-21)?
12
Let k(p) = 8*p**2 - 23*p + 27. What is the remainder when 285 is divided by k(1)?
9
Calculate the remainder when 1819 is divided by (96/(-2))/(((-27)/18)/(5 - 4)).
27
Calculate the remainder when 771 is divided by 37 + -24 + (-1)/1.
3
Let a = -2362 - -2878. Calculate the remainder when a is divided by 105.
96
Suppose 18 = w - 1. Let r be (w - -1)*43 + -2. What is the remainder when (-2)/(-11) + (-13)/(r/(-912)) is divided by 4?
2
Suppose -5*u + 4399 = 4*i, 4*u + 14*i - 12*i = 3524. Calculate the remainder when u is divided by 436.
11
Let l(g) = 460*g - 1831. What is the remainder when 439 is divided by l(4)?
7
Let z = 5992 + -5554. What is the remainder when z is divided by 88?
86
Suppose 0 = -4*w + 16*z - 18*z + 850, -1064 = -5*w - z. Calculate the remainder when w is divided by 24.
21
Suppose -5*g - 3*s - 24 = -90, 4*g - 46 = s. What is the remainder when 165 is divided by g?
9
Calculate the remainder when 0 + (-2)/(-28) + 8145/630 is divided by ((-14)/(-4))/(2/4).
6
Let z(o) = -o**3 + 36*o**2 + 32*o - 28. Let v be z(35). Suppose -22*t + v = -8881. Calculate the remainder when t is divided by 85.
84
Let k(f) = -2*f**3 + 2*f**2 + 6*f - 1. Let w(t) = 3*t**3 - 4*t**2 - 11*t + 1. Let b(c) = 7*k(c) + 4*w(c). What is the remainder when 148 is divided by b(-2)?
4
Let f(m) = -5*m**2 - 109*m - 375. Let j(v) = v**2 + 22*v + 75. Let c(a) = 2*f(a) + 11*j(a). Calculate the remainder when c(-22) is divided by 11.
9
Let p(z) = 24*z + 119. Let s be p(8). Let j = s - 239. What is the remainder when 142 is divided by j?
70
Suppose 42 = 4*j + 22, 4*y - 320 = 4*j. Suppose 11*v - y = 6*v. What is the remainder when 58 is divided by v?
7
Suppose -4*z + 28 = 176. Let i = z - -53. Let t = -27818 + 27827. What is the remainder when i is divided by t?
7
Suppose -523*v = -518*v - c - 634, 0 = -3*c - 12. What is the remainder when 636 is divided by v?
6
Let w be ((-1050)/(-45))/((-4)/(-6)). Let g = 40 - w. What is the remainder when g is divided by ((-12)/(-8))/(6/(-8)) + 4?
1
Let l = -11 - -16. Suppose q + 3*c = 0, 0*c = -l*q - c + 28. Suppose 7*j - q*j - 12 = 0. What is the remainder when 44 is divided by j?
8
Let z(g) = -12*g - 11*g - 13 + 25*g. What is the remainder when 67 is divided by z(15)?
16
Suppose -2*a - 1052 = -5*s, 0*s + 5*s + 3*a - 1072 = 0. Calculate the remainder when s is divided by 48.
20
Suppose -6 = 5*s - 41. What is the remainder when 22 is divided by s?
1
Suppose 20*n - g = 22*n - 5, 0 = -3*n - 4*g + 5. Suppose 4*s - 11*x - 55 = -6*x, -n*s - 2*x = -47. Calculate the remainder when 54 is divided by s.
9
Suppose 2*t + 336 = 6*t. Let y be (21/4 - 6)/(2/16). What is the remainder when t is divided by -8 - 44/y - (-89)/3?
26
Let v be (-10)/95 + (-7826)/19. What is the remainder when (-2)/(8/v) + 0 is divided by 55?
48
Let u(k) = -2*k**2 + 4 + 3*k**2 - 5*k - 2*k**2 + 2*k**2. Let b(g) = g**3 + 7*g**2 - 13*g - 13. Calculate the remainder when b(-8) is divided by u(6).
7
Let m(w) = 2*w + 111. Let h be m(9). Suppose 131*x - h*x - 82 = 0. Calculate the remainder when x is divided by 19.
3
Calculate the remainder when (-5020)/4*(-6)/5 is divided by 13.
11
Let d(n) = -97*n + 3 + 98*n + 17. Let a = -29 - -47. What is the remainder when a is divided by d(-10)?
8
Suppose m - b - 16 = 0, 12*m = 16*m - 2*b - 66. Suppose 0 = -4*u - m*u + 210. What is the remainder when 45 is divided by u?
5
Suppose -14 = -2*j + 3*d, 0*j - j = -2*d - 6. Suppose 5*w - 5*a - 70 = 0, 4*a - 883 + 858 = -5*w. What is the remainder when w is divided by (-6 + 1)*(-12)/j?
3
Let t(c) = -c**3 - 18*c**2 - 3*c - 59. Let w be t(-18). Calculate the remainder when 234/w*(-5)/3 is divided by 16.
14
Calculate the remainder when (-2 - 0)/((-8)/228840*-5*-3) is divided by 7.
6
Suppose 1448 + 45 - 6626 = -59*w. What is the remainder when 16962 is divided by w?
84
Let v(m) = 2*m**2 - 6*m - 5. Let j be v(4). Let f(l) = 0 + 43 + j*l - 7 - 7. Calculate the remainder when 43 is divided by f(-6).
10
Suppose 3*f - f + 4 = 2*i, -4*i = 5*f - 35. Suppose -53 = 2*u - 5*v, -28 + 5 = 2*u + 5*v. Let q = u + 22. Calculate the remainder when f is divided by q.
0
Let k(u) = u**3 + 19*u**2 - 20*u + 3. Let b be k(-20). Suppose -8*y = -b*y - 60. Suppose -3*t + 177 = -0*t. What is the remainder when t is divided by y?
11
Let w = -1 - -5. Let v = 6124 + -5983. Calculate the remainder when v is divided by (w/2)/((-3)/(-72)).
45
Suppose 7*x - 5*x - 184 = 0. Let l(t) = -t**3 + 5*t**2 - 45*t + 183. What is the remainder when x is divided by l(4)?
16
Suppose 19*q - 5395 + 2184 = 0. Calculate the remainder when q is divided by (-9 - -6)/((-9)/66 + 0).
15
Suppose y = 2*a + 314, 4*a - 3*a + 1606 = 5*y. Suppose -10*d + 17*d - y = 0. Calculate the remainder when 145 is divided by d.
7
Let r be 0 + (6/(-2) - -11). Suppose -17*t + 16*t = -r. What is the remainder when 36 is divided by t?
4
Suppose 2 = r - l + 5, -5*r - 3*l + 9 = 0. Suppose r = 4*n - 11 - 1. Calculate the remainder when 26 is divided by n.
2
Let h(z) = -23*z - 2566. Calculate the remainder when 520 is divided by h(-112).
0
Suppose 663 = -g - 3*g + 17*g. Calculate the remainder when 281 is divided by g.
26
Let i(b) = 21*b + 2. Let k be i(4). What is the remainder when k + 0 - ((7 - 4) + -4) is divided by 44?
43
Let i(n) = -2*n**2 + 295*n - 3713. Calculate the remainder when 10123 is divided by i(14).
23
What is the remainder when 1244 is divided by ((-5)/25)/((-5)/10375) - 1?
2
Let b(n) = 10*n**2 + 29*n + 13. Calculate the remainder when b(-7) is divided by 146.
8
Suppose 3*d - 7*d = 2*i - 30, 60 = 4*d - 4*i. Let t(g) = g**3 + 7*g**2 - 57*g - 86. Calculate the remainder when t(-11) is divided by d.
7
Let b(q) = -q + 4. Let c be b(2). Suppose c*l - 54 = 5*y - 16, -46 = 5*y - 4*l. Calculate the remainder when (-100)/(-6)*y/(-4) is divided by 7.
4
Suppose -102 = 15*a - 6*a - 1695. What is the remainder when a is divided by 157?
20
Let p(k) = k**3 - 9*k**2 + 22*k. Let v(h) = -3*h**2 - 11*h + 9. Let s be v(-4). What is the remainder when 78 is divided by p(s)?
8
Let s(d) = 8*d - 2. Suppose 0 = 327*k + 188*k - 2575. What is the remainder when s(3) is divided by k?
2
Let f be (12/30)/(4/1200). Calculate the remainder when f/20 - (-582)/2 is divided by 30.
27
Let r be (-24)/16*(-5 - -3). Suppose 60 = r*o - 5*z, 3*o - 22 = -4*z + 11. Calculate the remainder when (-712)/(-6) - (-4 + (-98)/(-21)) is divided by o.
13
Let s(u) be