 the remainder when k is divided by 31?
14
Suppose 5*i = 3*x + 93 + 36, -x + 93 = 4*i. Suppose 6*j - 3*j = i. Suppose 14*o - 4*o = 40. What is the remainder when j is divided by o?
0
Suppose 7*j - 2 = 12. Let p = -10 + 18. Calculate the remainder when p is divided by j.
0
Let v(l) = 37*l**2 - 5*l + 2. What is the remainder when v(1) is divided by 21?
13
Suppose 0 = -u - 3 + 20. What is the remainder when 99 is divided by u?
14
Let l(u) = 3*u - 13. Suppose 7*a + 24 = 10*a. What is the remainder when 31 is divided by l(a)?
9
Suppose 4*v = 5*q + 424, 0*v = 4*q - 2*v + 344. Let u = q + 181. Calculate the remainder when u is divided by 24.
21
Suppose 2 = -3*d + 14. Let g(x) = -x + 8. Let s be g(5). Suppose -6*a = -2*m - 3*a - 1, s*m = d*a. What is the remainder when 14 is divided by m?
2
Suppose 0 = -576*s + 569*s + 98. Calculate the remainder when 94 is divided by s.
10
Suppose -v = -4*d + d + 26, -4*v - 32 = -3*d. Suppose -6 = r - 4. What is the remainder when 61 + (d/(-4))/r is divided by 16?
14
Suppose 0 = 5*w - 3*u - 53, 0 = 2*w - 2*u - 2*u - 24. Let z(k) = -k**2 + 13*k - 5. What is the remainder when z(w) is divided by 9?
7
Suppose 3*w = 65 + 46. Let q be -3*(-6)/(-36) - (-19)/(-2). Let z(l) = -l**3 - 9*l**2 + 11*l + 23. Calculate the remainder when w is divided by z(q).
11
Let u = 39 - 41. What is the remainder when 31 is divided by 5*(-15)/(-5) - u?
14
Let t(q) = -q**2 - 14*q - 36. Let f be t(-5). Let p(w) = w**3 - 6*w**2 - 17*w + 16. Calculate the remainder when p(f) is divided by 28.
22
Suppose 6*u - 4*u - 8 = 0. Let t = 13 + u. Suppose 20 = 5*m, -7 = -2*f - 2*m + 11. Calculate the remainder when t is divided by f.
2
Let h = -104 - -146. Suppose 5*v = -4*i + 414, -2*i - 7 = 1. Let f = v - h. What is the remainder when f is divided by 9?
8
Let u = 1 - -10. Suppose 0*y + u = -y. Let r = 28 + y. Calculate the remainder when 66 is divided by r.
15
Suppose 4*g + 102 = -0*i + 2*i, -5*g = 2*i - 66. Suppose -726 = -4*l - 42. Calculate the remainder when l is divided by i.
42
Let z = -2640 - -2646. Calculate the remainder when 67 is divided by z.
1
Let u = 72 + -46. Let q(d) = d**2 - 6*d + 4. Let c be 21 + -8 + (-2)/2. Calculate the remainder when q(c) is divided by u.
24
Suppose -28 = -9*q + 2*q. Suppose k = -q, -240 = -2*r + 2*k + 2*k. Calculate the remainder when r is divided by 19.
17
Suppose 20 = 3*f - 214. Let x = 52 - 25. Calculate the remainder when f is divided by x.
24
Let h(w) = 26*w**2 + 1. What is the remainder when h(1) is divided by 2/(-4) - (-266)/28?
0
Let z be (-16)/(-4) + 0 + 47. Suppose 6*b - z = 3*b. What is the remainder when 118 is divided by b?
16
Let t be (-13)/(26/(-12)) + -3. What is the remainder when 159 is divided by ((-33)/(-6) + -1)/(t/36)?
51
Let m = 32 - 5. Let p be (32 + -2)/(-3) + -2. Calculate the remainder when m is divided by 14/7 + p/(-1).
13
Suppose -2070 = -91*f - 68. What is the remainder when 138 is divided by f?
6
Let x(i) = -3*i**2 - 21*i - 8. Let z(q) = q**2 + q + 1. Let o(k) = -x(k) - 5*z(k). Calculate the remainder when 47 is divided by o(7).
13
Suppose 0 = -16*k + 17*k - 25. Calculate the remainder when 121 is divided by k.
21
Let v(w) = w**3 + w + 6. Let h be v(3). Suppose -48*b = -h*b - 324. Let d(f) = 4*f + 3. What is the remainder when b is divided by d(3)?
12
Let n = 93 - -64. Let l = -78 + n. Calculate the remainder when l is divided by 17.
11
Suppose 0 = w + 3 - 0, 5*i = -2*w - 6. Suppose i*l = -4*k + 5*l + 17, -5*l = -2*k + 11. What is the remainder when 22/(1 - k - -3) is divided by 8?
6
Let d(t) = 4*t**2 + 3*t - 2. Let q be d(1). What is the remainder when 72/(-10)*-5*5/q is divided by (13/(-1))/(1/(-1))?
10
Let m(v) = -15*v. Let x(i) = -2*i**3 - 14*i**2 + 8*i - 6. Let d(r) = -4*r - 24. Let s be d(-4). Calculate the remainder when x(s) is divided by m(-1).
13
Let v(o) = o**3 + 18*o**2 + 81*o + 24. Suppose 151 = -q + 5*q + f, 0 = q - 3*f - 54. What is the remainder when q is divided by v(-10)?
11
Let i(w) = 2*w - 11. Let r be i(5). What is the remainder when 31 is divided by 0 + 1 + r + 2 + 6?
7
Suppose -3*v = v. Suppose v = -2*a - 3*a + 125. Suppose 0 = 786*f - 778*f - 368. Calculate the remainder when f is divided by a.
21
Suppose 4 = 4*a - 12. Let g be 4/(-26) - 2/(-13). Calculate the remainder when a is divided by 2*(g/1 - -1).
0
Let p(w) = w**2 + 5*w - 57. Let s be p(-10). Let r = s - -40. What is the remainder when r is divided by 13?
7
Let q be (140/15)/2*21. Let j = -80 + q. Calculate the remainder when 66 is divided by j.
12
Calculate the remainder when ((-1)/3)/(5/(-360)) is divided by 9.
6
Let q(o) = 35*o + 10. Let h be q(2). Suppose -25*j = -26*j + h. Calculate the remainder when j is divided by 23.
11
Suppose 18*n + 18*n - 576 = 0. Calculate the remainder when 108 is divided by n.
12
Let y be ((-8)/12)/(-1) - (-895)/3. Suppose -11 = 3*w - y. Suppose j - 33 = 4*a, -2*j + 66 = 3*a + a. Calculate the remainder when w is divided by j.
30
Suppose -7*q + 76 = -1422. Calculate the remainder when q is divided by 9.
7
Let p = 7 + -2. Let q(x) = p - 3*x + 7*x**2 - 6*x**2 + x**2. Calculate the remainder when q(-4) is divided by 13.
10
Let f(t) = -t**2 - 24*t - 53. Calculate the remainder when 95 is divided by f(-21).
5
Let z(s) = s**2 - 11*s - 7. Let u be z(-9). Suppose -u - 75 = -2*p. What is the remainder when p is divided by 42?
40
Suppose 6*p - 36 = 10*p. Let s = p - -12. Suppose s*w - 35 = -8. Calculate the remainder when 34 is divided by w.
7
Suppose -3*p + 19 = -2. What is the remainder when 6128/128 - (-1)/8 is divided by p?
6
Let y(r) = r**3 + 2*r**2 - 4*r - 1. Let g be y(-3). Suppose -x - g*x + 366 = 0. What is the remainder when x is divided by 31?
29
Let m(l) = -24*l**3 + 3*l**2 + 4*l + 2. Let r be m(-1). Let y = r - 8. What is the remainder when y is divided by 4?
1
Suppose 0 = -2*a - 0*a + 30. What is the remainder when 42 is divided by a?
12
Let y = -13 + 21. Calculate the remainder when 580/100*10 + -6 is divided by y.
4
Let l = 1022 - 1011. Calculate the remainder when 28 is divided by l.
6
Let b be 0 + -6 + 1 + -1. Let g(o) = o**2 + 4*o - 6. Let p be g(b). Suppose 0 = p*i - i - 40. What is the remainder when 13 is divided by i?
5
Let h = -175 - -238. What is the remainder when 125 is divided by h?
62
Let q = -22 - -61. What is the remainder when q is divided by (-3 + -1)/(1/(-2))?
7
Let q(b) = 13*b + 9. Let v(x) = 13*x + 10. Let f(o) = 2*q(o) - 3*v(o). What is the remainder when f(-4) is divided by 14?
12
Suppose 2*d + 2657 - 685 = 4*m, -3*d = -4*m + 1970. Calculate the remainder when m is divided by 9.
8
Let m be 3*(9 + -2 - 2). Suppose m = 2*b - 5*r, -2*r + 3 = -3*b - 3*r. Suppose b = 2*w - w - 9. What is the remainder when w is divided by 6?
3
Let s = -404 - -439. What is the remainder when s is divided by (3 + (-1 - (-6)/(-4)))*8?
3
Suppose 3*d = -5*o + 140, 4*d = -13*o + 17*o - 80. Calculate the remainder when 122 is divided by o.
22
Let w(m) = -6*m**3 - 8*m**2 + 7*m + 15. Let r be w(-7). What is the remainder when (2/4)/(17/r) is divided by 17?
14
What is the remainder when 70 is divided by ((-41)/(-3))/((-57)/(-171))?
29
Suppose 59*g - 1653 = 40*g. Suppose 6*n - 75 = n. What is the remainder when g is divided by n?
12
Suppose -4*b + 157 = 2*y - 85, b = -4*y + 71. What is the remainder when b is divided by 13?
7
Let d = -810 - -943. What is the remainder when 274 is divided by d?
8
Let r = 25 + -13. What is the remainder when (-8)/r + 20*15/18 is divided by 9?
7
Suppose -n - 4 - 2 = 0. Let b = -69 + -150. Calculate the remainder when b/n - 3/(-2) is divided by 10.
8
Let v be 3/(-2)*(-160)/24. Suppose o - 28 - v = -5*u, -16 = -4*u + 4*o. Let k = u + -3. Calculate the remainder when k is divided by 3.
1
Suppose 49*t - 47*t - 52 = 0. What is the remainder when 388 is divided by t?
24
Suppose -2 + 44 = -s. Let o be 1368/14 - 12/s. Suppose -4*h + 3*b + o = 0, 2*h - 3*b = -b + 50. Calculate the remainder when h is divided by 8.
7
Suppose 56*f - 2*z = 57*f - 9, -4*z - 10 = -2*f. Suppose -h - 68 = -3*h. Calculate the remainder when h is divided by f.
6
Suppose -4 = 5*d - 74. Calculate the remainder when 77 is divided by d.
7
Let s(h) = 3*h**3 + 21*h**2 + 4*h + 10. What is the remainder when s(-4) is divided by 138?
0
Let r(s) = s - 12. Let q be r(14). Suppose -a + q*