4. Let s(x) = 2*x**2 + 8*x + 9. Calculate the remainder when s(z) is divided by 33.
31
Let f = -3162 - -6358. Calculate the remainder when f is divided by 139.
138
Let n(q) = 23*q - 103. Calculate the remainder when n(6) is divided by 23.
12
Suppose -5*k - 21*k = -3666. What is the remainder when k is divided by 6?
3
Suppose -3*n - 36 = -6*n. Suppose 0 = n*s - 119 - 457. Calculate the remainder when 143 is divided by s.
47
Suppose 13*r - 489 = 642. Let x = 154 - r. Calculate the remainder when x is divided by 17.
16
Suppose 7*j + 416 = -j. Let f = j + 65. What is the remainder when f is divided by 2 + (0 - 0 - -1)?
1
Suppose -5*y + p - 5*p - 45 = 0, -3*y = 4*p + 35. What is the remainder when 5 is divided by (-4*y/(-40))/(2/(-12))?
2
Suppose 2*l + 10 = 0, -3*g - 4*l = -0*g - 1. What is the remainder when 183 is divided by g?
1
Suppose -7*a + 175 = -5*a + b, 0 = a + b - 88. What is the remainder when a is divided by 13?
9
Let y be -16*2*3/(-24). Let f(z) = 3*z + 5. What is the remainder when f(y) is divided by 8?
1
Let u be 3 + (0/3 - 1). Let c be u*1 - 2/(-2). Suppose q + 40 = c*q. Calculate the remainder when q is divided by 8.
4
Let g(k) = -14*k + 229. Let u(h) = -3*h + 46. Let i(s) = 2*g(s) - 11*u(s). Calculate the remainder when 32 is divided by i(12).
8
Suppose 4*b + 120 = 5*b. What is the remainder when b is divided by 31?
27
Let x = 246 + -235. Let b = -8 - -38. Calculate the remainder when b is divided by x.
8
Let y = 101 + -93. Calculate the remainder when 61 is divided by y.
5
Let m = 1270 + -1268. Calculate the remainder when 97 is divided by m.
1
Suppose -3*w - 7 = 2*u - 72, 3*w = -3*u + 60. Suppose r + w - 69 = 0. Calculate the remainder when r is divided by 12.
8
Suppose -a + 40 = 3*a. Calculate the remainder when a is divided by 65/8 + (630/144)/(-35).
2
Suppose 2*f = -4*g + 277 + 1673, g = -4*f + 491. What is the remainder when g is divided by 26?
19
Let k = 418 - 409. Calculate the remainder when 49 is divided by k.
4
Let l(v) = v**3 + 23. Let n be l(0). Let u = -19 + n. Calculate the remainder when 19 is divided by u.
3
Suppose 5*a - 13 = t, -17 = -5*a - 5*t + 8. Suppose -3*r + 91 = -4*r. Let i = 93 + r. What is the remainder when a is divided by i?
1
Let a be (4 + -5)/((-1)/(-59)). Let m = a + 116. What is the remainder when m is divided by 15?
12
Let l be 2/((2/15)/(2/10)). Suppose 2*n = 3*u - 74, 0*n + 45 = 2*u + l*n. What is the remainder when 68 is divided by u?
20
Suppose 5*i - 5*y - 80 = 0, -5*y - 47 - 14 = -4*i. Let w = 23 - i. Calculate the remainder when 6 is divided by w.
2
Let j(k) = -2*k**2 - 8*k + 6. Let x = 9 - 10. Let h(c) = c - 1. Let z(q) = x*j(q) - 6*h(q). What is the remainder when 22 is divided by z(-3)?
10
Suppose -5*p + 45 = -4*f, p - 15 = 3*p + 5*f. Calculate the remainder when 17 - (10/(-20))/(1/2) is divided by p.
3
Suppose 19 + 24 = 3*c - 5*g, -3*c + 29 = 2*g. What is the remainder when c is divided by 11?
0
Suppose 5*k = -3*s + 303, -2*k + 166 = 5*s + 60. Let z = -35 + 51. What is the remainder when k is divided by z?
15
What is the remainder when 153 is divided by 298/7 + 40/(-70)?
27
Let c(o) = o**2 + 4*o - 10. Calculate the remainder when c(-14) is divided by 7.
4
Let x(s) = 5*s**2 + 7*s - 3. Let g be x(-6). Suppose 4*m - g = m. What is the remainder when m is divided by 175/15 - (-4)/12?
9
Let x be (-16)/5*(-2 + 7). Let l = x + 21. Let r(y) = -y**3 + 6*y**2 - 3*y. Calculate the remainder when 37 is divided by r(l).
7
Let o(w) = 2*w - 1. Suppose 3 = 3*b - 3. What is the remainder when (-6)/(-8)*(15 - 3) is divided by o(b)?
0
Let t = 48 - -100. Let v = t + -59. Calculate the remainder when v is divided by 24 + (0 - -1)/(-1).
20
Suppose -4*q + 5*p + 28 = 9*p, -4*q + 27 = 5*p. Calculate the remainder when 102 is divided by q.
6
Suppose 12 = -4*q, 5*c - 5*q = c + 7. What is the remainder when 44 is divided by (-4)/c + 1/((-1)/(-22))?
20
What is the remainder when 88 is divided by 6/(30/75*5/3)?
7
Suppose -122 = -52*s - 18. Calculate the remainder when 5 is divided by s.
1
Let q = -45 - -49. Suppose -5*r + 261 = q*r. What is the remainder when r is divided by 8?
5
Let d(u) = -2*u**3 + u**2 - u + 10. Calculate the remainder when 237 is divided by d(0).
7
Suppose 2*l = w + 44, -40*l = -45*l + 2*w + 110. What is the remainder when 150 is divided by l?
18
Let l(c) = c**3 + 8*c**2 - 15*c. Calculate the remainder when l(-8) is divided by 27.
12
Suppose 28*h = 39*h - 957. What is the remainder when h is divided by 47?
40
Suppose -4*l = 167 - 403. Calculate the remainder when 526 is divided by l.
54
Suppose -2*a - 7*z + 2*z = -405, -3*a - 4*z = -604. Suppose -4*g + 236 = -a. Calculate the remainder when g is divided by 28.
25
Let s be (20/35)/(16/7 - 2). Suppose -5*l = -5*f - 280, 5*l - s*l - 164 = f. What is the remainder when 105 is divided by l?
51
Suppose 10*g - 220 = 240. Calculate the remainder when g is divided by (8/20)/((-1)/(-60)).
22
Suppose 35 + 1 = 3*j. Suppose 26*x = 23*x + 48. Suppose x = s - 7. What is the remainder when s is divided by j?
11
Suppose 11*f = 14*f - 18. Let z = 3 - 0. Calculate the remainder when f is divided by z.
0
Let o(j) = -j**2 + 2*j + 17. Let n be o(5). Suppose n*i + 5 = 19. What is the remainder when 7 is divided by i?
0
Let m(b) = -2 + b**3 - 3 - 8*b + 5*b**2 - 2*b. Calculate the remainder when 50 is divided by m(-6).
12
Suppose 2*a - 3*z = a + 397, -5*z - 25 = 0. Calculate the remainder when a is divided by 12.
10
Let o(f) = -f**3 + 7*f**2 + f - 1. Let b be o(7). Calculate the remainder when (3 - b)*1/((-6)/52) is divided by 9.
8
Let v = 9 + 2. Suppose 0 = 5*g - 3*f - 486, -5*g + 5*f = -2*g - 298. What is the remainder when g is divided by v?
8
Let h be (-1)/(1 - 2) + (185 - 27). Suppose -x - 191 = -5*r - 12, -5*r - 4*x = -h. Calculate the remainder when 172 is divided by r.
32
Let j = -41 - -78. Let s = 50 - j. What is the remainder when 36 is divided by s?
10
Let u = -49 + 55. Suppose -2*h + 42 = h. What is the remainder when 6*u/9 + 49 is divided by h?
11
Let c(d) = d**3 + 20*d**2 + 5*d - 33. Calculate the remainder when c(-19) is divided by 59.
56
Let h(z) = -3*z**3 - 37*z**2 + 27*z + 31. What is the remainder when 267 is divided by h(-13)?
15
Let o = 2623 - 2470. What is the remainder when o is divided by 47?
12
Let a be (12/10)/(3/50). Let f = a + -13. Suppose -f + 30 = 5*s - j, -2*s = 2*j - 14. Calculate the remainder when s is divided by 2.
1
Let y be 1 + -2*93/(-6). Let g = 3 + y. What is the remainder when g is divided by 1 - (3 + -14 + 3)?
8
Let z be 4/2 + 2 + -2. Suppose -7 = -r - z. Suppose 3*t + o = 30, r*t + 4*o - 60 = -3. What is the remainder when 33 is divided by t?
6
Let o = 78 - 74. What is the remainder when 13 is divided by o?
1
Let m(f) = -8*f - 1. What is the remainder when 191 is divided by m(-2)?
11
Let c = 19 - 16. Suppose -c*j = -j - 24. Suppose -6*f = -4*f - j. What is the remainder when 40 is divided by f?
4
Suppose -207 = -3*t + 2*m, -13*t - 6*m = -14*t + 53. What is the remainder when t is divided by 26?
19
Let h(a) = -a**2 + 31*a - 49. What is the remainder when 107 is divided by h(29)?
8
Let c = -300 - -400. What is the remainder when c is divided by 17?
15
Suppose -5 = 2*s - 3, -2*s = -d + 26. Suppose 3*l - 2*y - 10 = 39, -15 = 3*y. Calculate the remainder when d is divided by l.
11
Let r be ((-12)/(-30))/((-3)/15). Calculate the remainder when (-226)/(r + 2 + -2) is divided by 29.
26
Suppose 0 = -3*k - 0*k + 27. What is the remainder when 20 - ((-8)/8 + 5) is divided by k/((-2)/(-2 + 0))?
7
Let c(m) = 2*m - 6. Let h be c(6). Let r be (-141)/(-9) + (-4)/h. Let y = r - -7. Calculate the remainder when y is divided by 12.
10
Suppose -4*s - 4*o + 136 = 0, 84*o - 88*o - 112 = -4*s. What is the remainder when s is divided by 1/((-23)/(-11) + -2)?
9
Let t be (-30)/(-165) + 106/22. Suppose -t*n + 16 = -j, 28 = -3*n + 5*n + 5*j. What is the remainder when 5 is divided by n?
1
Let n(s) = -5*s**3 - s**2 - 3*s - 2. Let x be n(-1). Suppose -3*a + 59 = -x*o, -4*a + o + o = -74. Calculate the remainder when 51 is divided by a.
15
Let k(g) = 2*g**3 + 5*g**2 - g + 34. Let l = 13 - 7. Calculate the remainder when k(0) is divided by l.
4
Suppose 2*m - 31 = 41. Suppose 10*o = -2*o + m. What is the remainder when 8 is divided by o?
2
Let t be -4 + 