3. Let a(r) = 6*r**3 - 3*r**2 + r + 1. Let y be a(1). Suppose 2*m - 205 = -y*b, b - m - 73 = -b. What is the remainder when b is divided by p?
9
Suppose -10*d + 12*d = 50. Let t = d - 19. What is the remainder when 17 is divided by t?
5
Let s be (-454)/(-30) + 13/((-975)/10). Suppose 6*j = 9*j - s. What is the remainder when 13 is divided by j?
3
Let y(o) = -6*o - 7. Let a be y(2). Calculate the remainder when 100 is divided by -2 - (-2 + 3)*a.
15
Let i(x) = 285*x**2 - 11*x - 9. What is the remainder when i(-1) is divided by 94?
5
Let i(o) = o**3 - 11*o**2 + 3*o + 27. Calculate the remainder when i(12) is divided by 18.
9
Suppose -72 = 67*x - 73*x. What is the remainder when 18 is divided by x?
6
Suppose 7*p - 245 = -0*p. Calculate the remainder when 348 is divided by p.
33
Let k be (-3)/6 - 108/(-8). What is the remainder when 19 is divided by 2/k + 350/91?
3
Calculate the remainder when 5 + (-7)/7 + 6 is divided by 5.
0
Suppose 5*a - 7*m = -5*m + 87, m = -3*a + 61. What is the remainder when 91 is divided by a?
15
Suppose 0 = -5*l - 2*n + 56 + 44, 20 = 4*n. Let c = 640 - 633. What is the remainder when l is divided by c?
4
Let r(s) = s**3 - 7*s**2 + 5*s + 5. Let o be r(6). Calculate the remainder when 68 + (-3 + 6)*o is divided by 28/2 + 1 + 2.
14
Let b(o) = -o**3 - 19*o**2 - 4*o - 71. Calculate the remainder when 31 is divided by b(-19).
1
Suppose -4*i + 0*w - w = -18, -5*i - 3*w = -19. What is the remainder when 239 is divided by i?
4
Suppose 0 = -g - 2*m + 27, -2*m + 3*m + 90 = 4*g. What is the remainder when 91 + -1*(12 - 5) is divided by g?
15
Let b(p) = 96*p**2 + 4*p + 0*p**3 - 5 - 99*p**2 + p**3. Let k = 7 + -3. Calculate the remainder when b(k) is divided by 15.
12
Let h = -1262 - -1395. What is the remainder when 265 is divided by h?
132
Let t(z) = 33*z**3 + 35*z**3 - 6*z + 8 - 69*z**3 + 5*z**2. Let m(d) = -11*d + 1. Calculate the remainder when m(-4) is divided by t(3).
5
Let g(w) = -w**2 - 19*w - 26. Let x = -4 + -10. Calculate the remainder when g(x) is divided by 15.
14
Suppose 2*v - 1 = 3. Suppose -v*o + 27 = -35. Suppose -2*c = q - 15, 0 = -2*q - 5*c + 2*c + o. Calculate the remainder when 31 is divided by q.
14
Suppose 5*h + 0*h - 1 = 4*s, s - 5 = -4*h. Suppose -z = 4*k - 4, -5*z + 0*z + s = k. Calculate the remainder when 23 - (5 - 2 - k) is divided by 11.
10
Let w(j) = j**3 - 10*j**2 + 21*j - 13. What is the remainder when w(9) is divided by 49?
46
Let f(x) = x**2 - 4*x - 212. Calculate the remainder when 132 is divided by f(-13).
6
What is the remainder when 0 + -1 - (-96)/1 is divided by (-96)/10*(45/(-2))/9?
23
Suppose -3*r = -y + 2, 0 = -0*r - r - y + 2. Suppose h + 4*h - 45 = r. What is the remainder when h is divided by 4?
1
Let k be (-4)/10 + 22/5. Suppose k*g - 9 = -2*w + 1, w + 5*g + 10 = 0. Calculate the remainder when 56 is divided by w.
11
Suppose -160 = 363*d - 368*d. What is the remainder when 78 is divided by d?
14
Let z(y) = -231*y + 107. Calculate the remainder when z(0) is divided by ((-72)/10)/(3/(-15)).
35
Suppose -61 = -3*i - 7. Let j = 31 - i. Let d = -41 - -49. Calculate the remainder when j is divided by d.
5
Suppose -2*c = -c - 24. Suppose -5*u + 3*n = -562, -4*n + 586 - 17 = 5*u. What is the remainder when u is divided by c?
17
Let i = 15 - 0. Let c = i + -7. Suppose -3*t - 44 = -5*t. What is the remainder when t is divided by c?
6
Suppose -s + 20 = -3*u - 3*s, -3*s + 15 = 0. Let x = u + 90. Suppose -5*n + 3*w + x = 6*w, -w = 4*n - 64. What is the remainder when n is divided by 6?
4
Suppose 4*t - 5*k - 3910 = 0, 5*t - 6*t - k = -982. Calculate the remainder when t is divided by 41.
37
Let j be 1 + (2 - (4 - -1)). Suppose 0 = -15*n + 100 + 95. Calculate the remainder when n is divided by ((-1)/j)/(2/28).
6
Suppose -7*y - 3*a + 44 = -2*y, a = 4*y - 25. Suppose -y*j - 162 = -10*j. Calculate the remainder when 105 is divided by j.
51
Let c(i) = -31*i + 39. Calculate the remainder when c(-6) is divided by 23.
18
Let h = -2 - -6. Let u(l) = 8*l. Calculate the remainder when u(h) is divided by 9.
5
Let x = 116 + -111. What is the remainder when 22 is divided by ((-5)/(-2))/x*(30 + -2)?
8
Let p be 4/(-5)*(9 - 279). Let o = p - 99. What is the remainder when o is divided by 30?
27
Suppose 0 = -2*o + 5*i + 88, 7*i = -4*o + 2*i + 146. What is the remainder when o is divided by 13?
0
Let g(j) be the second derivative of 27*j**3/2 + 8*j. Let a be g(-1). Let c = 156 + a. What is the remainder when c is divided by 26?
23
Suppose 290*l - 286*l - 108 = 0. Calculate the remainder when 64 is divided by l.
10
Let f(a) = a**2 - 4*a - 2. Let k be f(5). Let x(r) = -4*r - r + 3 - k*r + 3*r**2. What is the remainder when x(6) is divided by 22?
19
Let u(g) = 5*g + 43. What is the remainder when 14 is divided by u(-8)?
2
Let x be ((-16)/(-10))/(10/25). Suppose 28 = -x*z - 4*j, -3*j - 7 = -5*z - 2. Calculate the remainder when -7*(z + (-7)/1) is divided by 16.
15
Let v = 50 - -5. Let r be -1*0*(-1)/2. What is the remainder when v is divided by (2 - -10 - r) + 2?
13
Let d = 474 - 325. What is the remainder when d is divided by 49?
2
Let s = 451 + 22. Suppose -3*n - 2*q - s = 0, -2*n + q - 5*q - 326 = 0. Let t = -99 - n. What is the remainder when t is divided by 12?
8
Let i(q) = 619*q + 2. What is the remainder when i(1) is divided by 12?
9
Let t(z) = -z + 49. Let l be t(0). Let m(d) = -d**3 - 18*d**2 - 2*d + 3. Let x be m(-18). Suppose 4*r = x + l. What is the remainder when 41 is divided by r?
19
Suppose 7*v + 102 = -38. Let o = 23 + v. Calculate the remainder when 7 is divided by o.
1
Suppose 450 = 202*w - 177*w. What is the remainder when 49 is divided by w?
13
Suppose 9*a = 790 + 650. Calculate the remainder when a is divided by 81.
79
Suppose 3*o + 0*o = -6. Suppose 33*j - 4*j + 87 = 0. What is the remainder when 77 is divided by o + 22 + j + 3?
17
Let h(v) = v**2 + 5*v + 3. Let b be h(-8). Suppose -5*i + 2*q = -362, -5*q = -0*q + 5. What is the remainder when i is divided by (b/18)/((-6)/(-100))?
22
Suppose j + 9 = 3*x, -5*x - 3*j + 27 + 2 = 0. Let o = -2 + x. Suppose 2*p - 4*h - 118 = -o*h, 3*h - 295 = -5*p. Calculate the remainder when p is divided by 30.
29
Let o(p) = 18*p - 123. Calculate the remainder when 569 is divided by o(10).
56
Calculate the remainder when 41 is divided by 8/1 + -74 + 71.
1
Suppose 33*a + 72 = 37*a. Suppose 0 = -3*s + a - 3. Calculate the remainder when 19 is divided by s.
4
Let i(f) = -2*f + 1. Suppose 0 = 5*r + 2*r - 1050. Suppose -2*s + 7*s = r. What is the remainder when s is divided by i(-5)?
8
What is the remainder when 25/((-8)/4*(-4)/16) is divided by 13?
11
Let p(v) = v**3 + 6*v**2 + 7*v + 2. What is the remainder when 62 is divided by p(-3)?
6
Suppose -4*a - v = 107 - 346, 0 = 2*v + 2. Suppose -s = l - 202, -s + 464 = 2*l + a. Suppose -2*q = -0*q - l. What is the remainder when q is divided by 26?
23
Suppose 216 = 9*p - 18. What is the remainder when 77 is divided by p?
25
Suppose -105*d + 113*d - 448 = 0. Calculate the remainder when d is divided by 9.
2
Let t be (10/(-3))/((-10)/(-30)). Let n = t - -24. Calculate the remainder when 39 is divided by n.
11
Let c(a) = -a + 11. Suppose f = 3*m - 25, -9*f = m - 7*f - 13. Calculate the remainder when m is divided by c(6).
4
Let c(z) = -z**3 + 11*z**2 + 2*z + 5. What is the remainder when 53 is divided by c(11)?
26
Calculate the remainder when 105 is divided by (-115)/(-4) - (-27)/(-36).
21
Let v be (-4)/(-112)*4 + 114/(-14). Calculate the remainder when 87 is divided by (v/(-3))/2*(-891)/(-66).
15
Let s be 224/(-20) + (-2)/(-10). Let b = s + 5. Calculate the remainder when 17 is divided by 3/(1 - 0) - b.
8
Calculate the remainder when 394 is divided by 42 + (-1 - -8) + -5.
42
Let d(w) = -w**3 + 26*w**2 - 213*w + 4733. Let m(n) = 97*n + 2. What is the remainder when m(2) is divided by d(25)?
31
Suppose -17*r + 48 = -37. What is the remainder when 7 is divided by r?
2
Suppose -3*k = 100 - 91, 0 = -5*s - 5*k + 95. What is the remainder when 186 is divided by s?
10
Let j be 222 + (-2)/(3 - 1). Let g be (-2)/12 + j/(-78). Calculate the remainder when ((-90)/4)/(g/4) is divided by 8.
6
Suppose 5*b + 26 = 5*j - 249, -3*b + 189 = 3*j. What is the remainder when j is divided by (-91)/(-3) + 3*5/(-45)?
29
Let m = 803 - 519. Calculate the rem