3 - 1. Calculate the remainder when b(-1) is divided by 12.
11
Suppose 0 = -2*w + 1 + 17. Let i = -6 + w. What is the remainder when 5 is divided by i?
2
Suppose -5*l + 62 = 7. Calculate the remainder when 40 is divided by l.
7
Let d = 89 + -52. Let q = 56 - d. Suppose 42 = 3*z + 9. Calculate the remainder when q is divided by z.
8
Let h = 61 + -24. Calculate the remainder when h - (-6)/(-2 + 4) is divided by 21.
19
Let j be (-4)/10 - (-184)/10. Suppose 3*v - 74 = v. What is the remainder when v is divided by -1 + -2 + -2 + j?
11
Let j = -33 + 54. Let z = -15 + j. Calculate the remainder when 17 is divided by z.
5
Let f = 12 + 29. Suppose 21 = 2*m - 7. Calculate the remainder when f is divided by m.
13
Let z(c) = -2*c**3 + 2*c**2 + 2*c + 1. Let x be z(-2). Suppose r - 8 = -5*n, 4*r - 4 = -3*n + 11. Let h = x - n. What is the remainder when h is divided by 7?
6
Let r = -8 + 12. Let p = r + 6. What is the remainder when 13 is divided by 4/(-10) + 54/p?
3
Let g = 7 - -8. Suppose 2*n - 16 = -0*n. Calculate the remainder when g is divided by n.
7
Let u(k) = k**3 + 12*k**2 + 13*k + 14. Let z be u(-10). Suppose -10*d + z = -7*d. Let b = -10 + 25. Calculate the remainder when d is divided by b.
13
Let x = 14 + -2. Calculate the remainder when 17 is divided by (-12)/16 - (-129)/x.
7
Let d = 17 - 12. Let f(v) = v**3 + 6*v**2 + 4*v + 3. What is the remainder when f(-3) is divided by d?
3
Suppose -2*l = -b - 198, 4*l - 2*b - 3*b - 396 = 0. Let f = -68 + l. What is the remainder when f is divided by 16?
15
Suppose 10*q - 5*q - 30 = 0. Calculate the remainder when 27 is divided by q.
3
Suppose 8*t - t = 91. What is the remainder when 36 is divided by t?
10
Suppose 0*f = -f + 14. Suppose -126 = 3*x + 3*z, 4*x - 2*z + 150 = -0*x. Let t = x + 47. Calculate the remainder when f is divided by t.
6
Let t = -1 - -9. Suppose -2*h = -6*j + 2*j + 84, -2*h - 106 = -5*j. What is the remainder when j is divided by t?
6
Suppose -52 - 20 = -4*m. Calculate the remainder when 69 is divided by m.
15
Let c(q) = q**3 + 7*q**2 + 5*q - 4. Let a be c(-6). Suppose a*o - 2 = 40. Calculate the remainder when o is divided by 12.
9
Calculate the remainder when 9 is divided by (-44)/(-10) - (-6)/(-15).
1
Suppose 7*z - 4*z + 4*v = 95, 5*z - 3*v - 110 = 0. What is the remainder when z is divided by 13?
12
Let p(n) = -n**3 - 3*n**2 + 5*n + 4. Let u be p(-4). Suppose -3*y + 2*f + 47 = u, y - 2*f = 2*f - 1. Calculate the remainder when 36 is divided by y.
17
Let c = -15 + 19. Let i(w) = -w + 9. Suppose -5*r + m = -15, -3*m - 2*m = 0. What is the remainder when i(c) is divided by r?
2
What is the remainder when ((-174)/9)/((-4)/6) is divided by 2/(-8) + 147/12 + -2?
9
Let u = -21 + 23. Suppose g = -3*o - 4*g + 22, 0 = 2*o - 4*g. Suppose -o*t = -u*t - 60. What is the remainder when t is divided by 8?
6
Calculate the remainder when (1 - 100/(-4)) + -3 is divided by 6.
5
Let y = 9 - 6. Suppose -2 - 34 = -y*h. Calculate the remainder when 35 is divided by h.
11
Calculate the remainder when 2/12 + 1038/36 is divided by 8.
5
Suppose p + 84 = 5*p. Calculate the remainder when p is divided by (3 - (-2)/6)*18/10.
3
Suppose -3*p + 23 = 2*y, 5*p + 0*y - 33 = -2*y. Suppose -2*s - j + 14 = 0, -2*s + 4 = p*j + 6. Calculate the remainder when s is divided by 3.
0
Suppose -6*f - 515 = -f. What is the remainder when f/(-5) - 8/(-20) is divided by 11?
10
Let t be (12/30)/((-2)/10). Let w be 480/50 + t/(-5). Let f = -6 + w. Calculate the remainder when f is divided by 2.
0
What is the remainder when 1*(28 - (6 + -3)) is divided by 13?
12
Let c(a) = -4*a + 67. Calculate the remainder when c(0) is divided by 34.
33
Let a(o) = -3 - 6 - o**2 - 8*o - 5 + 4. Let x be a(-7). Let c = x - -5. Calculate the remainder when c is divided by 1.
0
Suppose -2*t = 3*m - 112, -m + 3*m - 72 = -4*t. What is the remainder when m is divided by 8?
6
Let o = -21 - -47. What is the remainder when o is divided by 17?
9
Suppose 2*k = -2*k - 4. What is the remainder when 110/2 - k/1 is divided by (-6)/(-72)*6 - 74/(-4)?
18
Let g(c) = c - 5. Let a be g(-9). Let n = a + 24. Calculate the remainder when ((-18)/(-8))/((-2)/(-16)) is divided by n.
8
What is the remainder when (-62)/(-5) + 30/(-75) is divided by 4?
0
Suppose 202 = 5*d - 173. Calculate the remainder when d is divided by 19.
18
Let r = 0 - 2. Suppose 0*n - 2*n + 16 = 0. What is the remainder when 7*(r + 5) + 1 is divided by n?
6
Let j(p) = 2*p**2 + 5*p + 16. What is the remainder when 36 is divided by j(-3)?
17
Let t(z) = -z**3 + 6*z**2 - 6*z. Let m be t(5). Suppose 0 = -4*g + 3*g - 2. Calculate the remainder when g/(-5) - 53/m is divided by 4.
3
Let f be (-10)/(-4)*(-24)/(-15). Let x = f - 2. Suppose -3*s = -x*s + 3*c - 21, 62 = 4*s + c. Calculate the remainder when s is divided by 8.
7
Suppose 7*l - 20 = 2*l. Suppose t - 2*t = -a + 14, -l*a + 60 = -3*t. Let c(i) = -i**3 - i**2 - 2*i - 4. Calculate the remainder when c(-4) is divided by a.
16
Suppose -5*v = -3*j - 2*v + 93, -3*v + 12 = 0. Calculate the remainder when j is divided by 12.
11
Suppose 63 = 2*b - 19. Calculate the remainder when b is divided by 11.
8
Suppose n + n = 8. Let l(k) = k + 4. Let h be l(-3). What is the remainder when 1*(-2 - h) + 8 is divided by n?
1
Suppose 69 = o - 2*o. Let j be 6/(-2 - o/30). Suppose 9 = i - j. Calculate the remainder when i is divided by 10.
9
Suppose 53*h - 24 = 49*h. What is the remainder when 8 is divided by h?
2
Let v(g) = 4*g**2 + 2*g - 1. Let h be v(1). Suppose t + 4 = -4*f + 32, -h*f + 3*t + 35 = 0. What is the remainder when 19 is divided by f?
5
Suppose 4*j - 49 = 187. What is the remainder when j is divided by 290/15 + (-6)/(-9)?
19
Suppose -2*f = 2*x + 3*x - 2, 0 = -4*f - 3*x + 4. Calculate the remainder when (-309)/(-12) + f/4 is divided by 9.
8
Suppose -378 = -9*l + 171. What is the remainder when l is divided by 16?
13
Suppose 6*f - 3*f = 0. What is the remainder when 35 is divided by 11 + -2 + f + 3?
11
Let c(i) = -2*i - 7. What is the remainder when 13 is divided by c(-6)?
3
Let n = -5 + 7. Suppose -3*m - n*m + 60 = 0. What is the remainder when 23 is divided by m?
11
Let z = 17 + -10. Calculate the remainder when 25 is divided by z.
4
Let n = 1838 - 636. Suppose 396 = -3*g + 2*c + n, 0 = 2*c - 4. Suppose 38 = -4*d + g. What is the remainder when d is divided by 20?
18
Suppose 0*l = -3*l + 156. Calculate the remainder when l is divided by 9.
7
Let a = 5 + -4. Let h = a - 11. Calculate the remainder when 4/h - 172/(-5) is divided by 12.
10
Let x be (-2)/(-2) + 0 + -45. Let d = x - -63. What is the remainder when 36 is divided by d?
17
Let g be 0 - (3/3 + -4). Suppose -x + 19 = g*a, 3*a + 0*a = -2*x + 20. Calculate the remainder when 21 is divided by a.
3
Suppose -4*m - 2*c + 0*c - 24 = 0, -4*m - 28 = 4*c. Let r = -1 - m. Calculate the remainder when ((-4)/(-5))/(2/15) is divided by r.
2
Suppose 4*f = -3*w + 105, -2*f - f - 4*w + 84 = 0. What is the remainder when 119 is divided by f?
23
Let q(r) = -4*r + 26. What is the remainder when 4 is divided by q(6)?
0
Suppose 428 = 2*w + 4*a, 3*a = -w - 2*a + 208. Let c = w - 129. Calculate the remainder when c is divided by 23.
20
Suppose -2*z = 3*p - 5*p - 24, -4*z + 55 = 3*p. Let m(n) = n**3 - 13*n**2 + 2*n - 17. What is the remainder when m(z) is divided by 4?
1
Let w be (-8)/6*(-75)/10. Let z = w + -7. What is the remainder when 3 is divided by z?
0
Let a = -4 + 7. Suppose o - 12 = -4*h, -4*h + 4 = a*o - o. Let c(r) = -r**3 - 8*r**2 - 4*r - 2. What is the remainder when c(o) is divided by 16?
14
Suppose 5 = l, 4*z + 5*l - 71 - 14 = 0. Let t be (-6)/2 + (1 - -56). Let x = t + -26. Calculate the remainder when x is divided by z.
13
Suppose -2*n - 150 = -8*n. Calculate the remainder when n is divided by 14.
11
Suppose 3*x + 81 = 2*b, -2*b + 61 + 10 = -x. What is the remainder when b is divided by (8 - -3 - 0) + 1?
9
Let d = 2 - -11. Suppose 0 = -5*r - 2*c + 5 + 2, c = -4. Suppose -4*v + 3*n + 8 = 0, r*n = -2*v + 3*v + 7. Calculate the remainder when d is divided by v.
3
What is the remainder when (-19)/(-2)*20/5 is divided by 20?
18
Let t = 314 - 205. What is the remainder when t is divided by 14?
11
Let y be (-93)/(-5) + (-6)/(-15). Suppose -6*h + 451 = y. Calculate the remainder when h is divided by 25.
22
Let t(w) = w 