 11. Calculate the remainder when j is divided by 12.
9
Suppose 0*r = 5*r. Let s(m) = -m**2 + 387. Let x be s(r). What is the remainder when 27 is divided by (-2)/12 + x/54?
6
Calculate the remainder when 14 is divided by ((-12)/(-2))/((-9)/(-12)).
6
Let p(v) = 5*v**2 + 2*v + 1. Let f be p(-1). Suppose 4*r - 2*g = r - 28, f*r = 4*g - 44. Calculate the remainder when 19 is divided by (-64)/r + (-2)/3.
9
Let c be ((-15)/(-10))/(1/2). Suppose -3*b - 9 = 3*m, -c*b - 2*m = b + 20. Let j = 24 + b. What is the remainder when 49 is divided by j?
15
Let o = -10 + 16. Let l(y) = 6*y**3 + 4*y - 3. Calculate the remainder when l(2) is divided by (-4)/o*(-26 - 1).
17
Let p be (-30)/4*96/9. Let b = 133 + p. Calculate the remainder when b is divided by 14.
11
Suppose -3*c = -20 - 13. Let n = c + -8. Calculate the remainder when 7 is divided by n.
1
Suppose 2*d - 180 = -d. Calculate the remainder when d is divided by 22.
16
Let z(s) = 10*s. Calculate the remainder when z(5) is divided by 17.
16
Suppose -4*v + 85 = v. What is the remainder when 49 is divided by v?
15
Let j = 135 - 74. Let v = 40 + -19. What is the remainder when j is divided by v?
19
Let p = -73 + 85. Let k(x) = -x**3 - 5*x**2 - 4*x + 3. What is the remainder when k(-5) is divided by p?
11
Calculate the remainder when 29 is divided by -2*2/8*-18.
2
What is the remainder when 75 is divided by 3 + -2 + 9 + (6 - 5)?
9
Suppose -11 = -6*d + 49. Calculate the remainder when 29 is divided by d.
9
Let x = 18 + -13. Suppose -3 = -4*k - 5*w, w = -4*k - 3*w. Let n(m) = -m**3 - m**2 + m - 1. Calculate the remainder when n(k) is divided by x.
4
What is the remainder when 105 is divided by (-172)/(-10) + (-8)/(-10)?
15
Suppose 116 = 4*m - 0*l - 4*l, 4*m - 5*l - 119 = 0. What is the remainder when 50 is divided by m?
24
Suppose 35 = 7*y - 2*y. Let w = -43 + 68. What is the remainder when w is divided by y?
4
Let x(i) = -i**3 - 53*i**2 - 52*i + 19. Let h = -9 + 84. What is the remainder when h is divided by x(-52)?
18
Suppose j = -4*j + 35. Calculate the remainder when 25 is divided by j.
4
Suppose -w + 2*w = 5. Suppose -3*d + d = 5*c - 22, w*d + 5*c = 25. What is the remainder when 2 is divided by d?
0
Let b = -47 - -104. What is the remainder when b is divided by 15?
12
Suppose 5*w = -2*j + 149, -j = w - 2*j - 34. What is the remainder when w is divided by 12?
7
Let l(n) = n**2 + 5*n - 9. Let k be l(-7). Suppose k*y = 5 + 5. Suppose -5*m = -b - 43, -2*b - 22 = -y*m - 0*m. What is the remainder when m is divided by 5?
3
What is the remainder when 85 is divided by (-11 + 1)*((-90)/(-25))/(-9)?
1
Suppose 4*z - 16 = 60. What is the remainder when z is divided by 54/8 - 2/(-8)?
5
Suppose 58 = 5*o + g, -3*o - 2*g - 5 = -4*o. Calculate the remainder when 1/(248/(-84) + 3) is divided by o.
10
Let b be 2*(10/4 + -1). Let p(i) = 0*i**3 + 3 - 2 + 6*i**3 + 7*i**b. What is the remainder when 40 is divided by p(1)?
12
Suppose -101 = 5*b - 381. Suppose 4*v = 56 + b. What is the remainder when v is divided by 15?
13
Suppose a + 1 - 16 = 0. Calculate the remainder when 58 is divided by a.
13
What is the remainder when (-690)/(-24) + ((-3)/1)/(-12) is divided by 8?
5
Let d(t) = -7*t**2 + 3*t + 4. Let k(v) = -15*v**2 + 7*v + 9. Let y(n) = -7*d(n) + 3*k(n). Let h = 8 + -1. Calculate the remainder when h is divided by y(-1).
1
Suppose 3*i + 2*m - 49 = 0, 0*i + i + 12 = 5*m. Calculate the remainder when 25 is divided by i.
12
Let x = 535 - 321. Suppose 5*c = -3*g + x, 4*g - 196 - 68 = 4*c. Suppose -g = -5*w + 77. What is the remainder when w is divided by 10?
9
Let p(w) = 7*w - 4. Let h(f) = 6*f**2 - 5*f - 2. Let v be 3/(-5)*(3 - -2). What is the remainder when h(v) is divided by p(3)?
16
Let w(d) = -5*d - 6. Suppose 4*m - 4*t + 1 = -11, -3*m = -4*t + 9. Calculate the remainder when w(-5) is divided by m/(3/30*-3).
9
Suppose -2*v - 5*n + 4 = 0, 0*v + 2*n = -v. What is the remainder when (v/(-16))/((-2)/(-148)) is divided by 13?
11
Suppose 3*d = -3*r + 93, -d = -2*d - 5*r + 35. What is the remainder when d is divided by 8?
6
Let j be 1/(-3)*-3*22. Suppose 5*u - 38 = 4*l, -2*l = -l + 5*u + j. Calculate the remainder when l/(1 + (0 - 2)) is divided by 7.
5
Calculate the remainder when (-1 + -3)/((-4)/34) is divided by -9*(2/3 - 2).
10
Suppose 10 = 5*q - 0*q. Let c = -1 + 4. Suppose -2*j + 1 = -c. Calculate the remainder when q is divided by j.
0
Let m(d) = d**3 - 10*d**2 - 9*d. What is the remainder when m(11) is divided by 12?
10
Let c(l) = 3*l**3 - l**2. Let j = 5 + -2. Suppose 4*g - j = 5. Calculate the remainder when g is divided by c(1).
0
Suppose -3*v + 149 = -10. Suppose 5*k - v = 117. Calculate the remainder when k is divided by 12.
10
Let p = 16 + -7. Let k = 27 - 11. Calculate the remainder when k is divided by p.
7
Suppose 4*c = -2*k + k + 29, -c = 2*k - 9. Calculate the remainder when 12 is divided by c.
5
Suppose 2*j - 52 = -3*a, a = -0*a + 2*j + 28. What is the remainder when 74 is divided by a?
14
Let x(w) = w**2 + 5*w - 2. Let z(r) = -r**2 - 10*r - 10. Suppose -3*v + 2*v - 4 = n, -3*v - 5 = 2*n. Calculate the remainder when z(n) is divided by x(-6).
3
Suppose 9*o - 337 = 4*o + 3*q, -2*o + q + 134 = 0. Suppose -y = -o + 19. What is the remainder when y is divided by 16?
14
Suppose 0 = -4*v - 5*a - 11, -5*v - 4*a - 33 = -8. Let w(p) = p**2 + 7*p - 8. Let k(z) = z - 3. Calculate the remainder when w(v) is divided by k(6).
1
Let x = -31 - -55. Calculate the remainder when 74 is divided by ((-3)/(-2))/(x/304).
17
Let f be (-6)/(-9) + (-8)/3. Let j = f - -2. Suppose -a = d - 6, j*d + 16 = 4*d. Calculate the remainder when 3 is divided by a.
1
Let y = -30 - -65. Calculate the remainder when y is divided by 19.
16
Suppose -13*q - 45 = -18*q. What is the remainder when q is divided by 7?
2
Let v be 141/6 - 6/(-4). Suppose -2*t = o - v, o + t + 0*t = 22. What is the remainder when 54 is divided by o?
16
Let o = -1 - 7. Let m(g) = -g**3 - 7*g**2 - 8. Let c be m(o). What is the remainder when (c/(-6))/(4/(-6)) is divided by 8?
6
Suppose 4*c + 6 = -2, 2*c = -3*y - 4. Suppose y*m = -5*m + 65. Suppose -5*u + 30 = 2*n - 105, -150 = -5*u - 5*n. Calculate the remainder when u is divided by m.
12
Suppose -g - 4 = -0. Let u be (30/g)/5*-2. Suppose u*d - 75 = -2*d. What is the remainder when d is divided by 8?
7
Let w(n) = 5*n**3 - 2*n**2 + n. Let y be w(1). Suppose -p - 42 = -y*p. What is the remainder when 25 is divided by p?
11
Suppose 3*u = 4*u - 1. What is the remainder when 3 is divided by u?
0
Suppose -2 = -2*w + 4. What is the remainder when (1 + (w - 3))*55 is divided by 19?
17
What is the remainder when 98 is divided by (-3*(-11)/3)/(4/12)?
32
Let y be ((-12)/16)/(6/(-16)). Suppose -y*r + 35 = 3*d, -d - 2*r = -0*d - 5. Calculate the remainder when d is divided by 8.
7
Let n(f) = -3*f - f**2 + 4*f + 13*f**2 + 1. Let g be n(-1). Let i = 47 - g. What is the remainder when i is divided by 12?
11
Suppose -o = -1 - 11. Let r(k) = -k**3 + 13*k**2 - 11*k. Calculate the remainder when ((-105)/(-2))/(-3)*-2 is divided by r(o).
11
Suppose -5*o - 60 = -d, 4*d + 0*o - 148 = -3*o. Calculate the remainder when 157 is divided by d.
37
Let p be 45/(-4)*-2*2. Suppose 0 = 4*q - 55 - p. Suppose -2*g = 3*h - 30, 5*g = -0*h - 4*h + 61. Calculate the remainder when q is divided by g.
7
Let b be 60/8*2*1. Suppose -5*f - b = -5*x, 3*x = -2*f - x + 24. Calculate the remainder when 4 is divided by f.
0
Suppose 702 = -6*k + 19*k. What is the remainder when k is divided by 7?
5
Calculate the remainder when (-6)/(-21) + -3 + (-138)/(-7) is divided by 5.
2
Suppose -4*g = c - 157, 2*g + 3*c + c = 68. Suppose k = -4*k + 5*f + g, -5*k = -4*f - 41. What is the remainder when (-16)/(-6)*k/4 is divided by 4?
2
Calculate the remainder when 71 is divided by 3/12 + (-475)/(-20).
23
Suppose q + 17 = 3*k, 2*k = -3*k - 2*q + 43. What is the remainder when 15 is divided by k?
1
Suppose 2*x + 22 = 2*v, 4*v + 2*x - 28 = v. Suppose -7*a + 218 - 22 = 0. What is the remainder when a is divided by v?
8
Let c(z) = -2*z**2 - 16*z - 7. What is the remainder when 83 is divided by c(-6)?
15
Let n(f) = -2*f**2 - 18*f + 3. Calculate the remainder when n(-7) is divided by 20.
11
Suppose 20 = -3*z - 13. Let n(b) = b**3 + 12*b**2 + 12*b + 16. What is the remainder when 17 is divid