t is the remainder when k is divided by 19?
17
Let r = -9 - -26. Suppose -37 = -2*v + 25. What is the remainder when v is divided by r?
14
Let h(r) = -r - 2. Let t be h(-4). Suppose 0 = -t*x - 8, -3*x = -d + 6*d - 8. Suppose -37 - 3 = -d*l. What is the remainder when 19 is divided by l?
9
Suppose r = -3*r + 12. Suppose -r*c + 90 = 3*i - 27, 0 = -4*i - 5*c + 159. What is the remainder when i is divided by 10?
6
Suppose 4*c - z - 2*z = 427, -2*c + 2*z + 216 = 0. Calculate the remainder when c is divided by 21.
19
What is the remainder when 329/5 + 17/85 is divided by 23?
20
Let q(a) = 8*a**2 - 2*a - 1. What is the remainder when q(-2) is divided by 21?
14
What is the remainder when 102 is divided by 2/(-6) - 237/(-9)?
24
Suppose 0 = -3*s + 36 - 15. Suppose s*k - 3*k - 8 = 0. What is the remainder when 666/33 - k/11 is divided by 7?
6
Let x = -25 - -47. Let j(u) = u**2 + 2*u + 2. Let m be j(-3). Suppose -m*g + 60 + 0 = 0. Calculate the remainder when x is divided by g.
10
What is the remainder when (-3*(-8)/12)/(6/39) is divided by 8?
5
Calculate the remainder when 33*-1*(-2 + 1) is divided by 26.
7
Let l(s) = s**2 + 10*s - 24. What is the remainder when 27 is divided by l(-13)?
12
Let w(k) = 2*k + k**3 + 4 - 5*k**2 - 14 - 2*k**2. Let t = 7 - 4. What is the remainder when w(7) is divided by t?
1
Let j = 6 - 15. Let h = 16 + j. Calculate the remainder when h is divided by 2.
1
Let c(b) = b + 24. What is the remainder when c(-14) is divided by 4?
2
Suppose 5*j = -3*p + 145, -j - 2*p + 18 = -4. Calculate the remainder when 95 is divided by j.
31
Let b(y) = -5*y - 3. Let i be b(-5). Let n = 3 - 14. Let l = i + n. Calculate the remainder when 32 is divided by l.
10
Suppose 0 = 4*k - 52 + 4. Calculate the remainder when 59 is divided by k.
11
Let v = -13 + 18. Calculate the remainder when 9*(-8)/(-6) - 3 is divided by v.
4
Let i = 58 + -41. Calculate the remainder when i is divided by ((-4)/(-10))/(((-42)/45)/(-14)).
5
Let c(a) = -4*a - 4. What is the remainder when 17 is divided by c(-2)?
1
Suppose -o - 2*o + 21 = 0. Calculate the remainder when 13 is divided by o.
6
Suppose -7*i + 2*i = -1185. Suppose 5*r - i - 13 = 0. What is the remainder when r is divided by 13?
11
Let t(i) = -i**2 + 6*i + 13. What is the remainder when 28 is divided by t(7)?
4
Let n be (-4)/(-12) + (-2)/6. Suppose w + 7 - 22 = n. Calculate the remainder when w is divided by 8.
7
Let o be 24/84 + 192/14. Suppose -s - 11 = -o. Calculate the remainder when 3 is divided by s.
0
Suppose -8*p - 7 = -9*p. What is the remainder when 18 is divided by p?
4
Suppose -3*y + 16 = y. Suppose y*j = -25 + 73. What is the remainder when 35 is divided by j?
11
Calculate the remainder when (1/2 + 0)*70 is divided by (8 + 1)*(1 + 0).
8
Let q be 3*(-4)/(-6) - 0. Suppose 4*c + 0*c = q*v + 92, 122 = 5*c + v. Let f = -11 - -24. What is the remainder when c is divided by f?
11
Suppose -3*w + 4*w + 4*y = -10, -14 = -w + 4*y. Suppose -5*l = -2*s + 3, 0 = l + 2*l + 5*s - 23. Calculate the remainder when w is divided by l.
0
Suppose -s + 4*c + 2 = c, -4*s + 21 = c. Suppose s*z - 24 - 31 = 0. Calculate the remainder when z is divided by 3.
2
Suppose -21 = -j - 2*f - 2, 0 = 5*j - 2*f - 47. Let x(o) = -4*o. What is the remainder when x(-8) is divided by j?
10
Let g(z) = -z**3 + 9*z**2 + 2*z - 9. Let p be ((-1)/3)/(1/(-9)). Suppose p*c - 36 = -c. Calculate the remainder when 26 is divided by g(c).
8
Suppose 0 = -5*v - 6 + 61. Calculate the remainder when 17 is divided by v.
6
Suppose 3*b = d - 1 - 1, -3*d + b + 14 = 0. Suppose 205 = 5*w - d*p, 4*w = 2*w - 3*p + 72. What is the remainder when w is divided by 20?
19
Let m(v) = -v**3 - 4*v**2 - 3*v - 8. Calculate the remainder when 17 is divided by m(-4).
1
Let g = 4 - -1. Suppose 5*d + 3*c - 39 = 3*d, -g*d + 55 = -c. Let u(p) = p**2 + 10*p + 12. What is the remainder when u(-11) is divided by d?
11
Suppose 3*k - 2*k - 71 = 0. What is the remainder when k is divided by 18?
17
Let i(c) = c**2 - 15*c - 14. Calculate the remainder when i(18) is divided by 27.
13
Suppose -l = -5*l - 4*h + 56, l - 5*h + 4 = 0. Calculate the remainder when 41 is divided by l.
8
Suppose 4*s = -s - 5. Let b(w) = -8*w**3 - w**2. Calculate the remainder when 20 is divided by b(s).
6
Let z(f) = -f - 10. Suppose 0 = 2*r + 5*j - 12, -2*j = 4*r + 2*j - 48. What is the remainder when r is divided by z(-16)?
4
Let k be -1 + -1 - 4/(-2). Suppose -t = -k*t - 9. What is the remainder when 26 is divided by t?
8
Let x(g) = 9*g**2 + 4*g + 7. Calculate the remainder when x(-4) is divided by 17.
16
What is the remainder when (1/(-2))/(12/(-1800)) is divided by 7?
5
Let z(k) = -4*k - 56. Let t = -72 - -101. What is the remainder when t is divided by z(-16)?
5
Suppose 24 = 5*n - 31. What is the remainder when n is divided by 3?
2
Let z = 62 + -28. Suppose 0*p = -2*p + 36. What is the remainder when z is divided by p?
16
Let d(q) = -q**2 + 4*q + 4. Let l be (12 + -3)*1/3. Suppose 2*y = 3*g - 2, l*g = 4*y - g - 4. Calculate the remainder when y is divided by d(4).
1
Suppose 0*t - 168 = -4*t. Let g be (2 - 0) + 130/2. Let l = g - t. Calculate the remainder when l is divided by 9.
7
Let u = -8 + 17. Calculate the remainder when (9 - (13 + -6))*(-35)/(-2) is divided by u.
8
Suppose -839 - 311 = -10*m. Calculate the remainder when m is divided by 24.
19
Let t(z) be the third derivative of -z**4/24 + 19*z**3/6 - z**2. Let j be t(0). Let n = 1 + j. Calculate the remainder when n is divided by 7.
6
Let t(p) = p**2 + 4*p - 7. Let k = -45 + 59. Calculate the remainder when t(-8) is divided by k.
11
Suppose -3*v = 5*p - 32, 3*p - 2*p - 2*v = -4. Suppose -4*z + c = -27, 3*z - 5*c = p - 5. Calculate the remainder when z is divided by 5 - (-2 + 2)/1.
3
Suppose -5*c = -2*n - 117, -2 = 6*n - 4*n. Calculate the remainder when c is divided by 2.
1
Let s(a) = 3*a + 2. Let t be s(4). Let h be t/4 - (-3)/(-6). Suppose -h*w + 80 = 2*w. What is the remainder when w is divided by 6?
4
Suppose 0 = 2*p + 6 + 22. Calculate the remainder when 8 is divided by (-4)/p - (-38)/14.
2
What is the remainder when 0 - (-1 - 11) - -5 is divided by 6?
5
Let d(t) = t**3 - 19*t**2 + 22*t + 16. Calculate the remainder when d(18) is divided by 23.
19
Suppose 3*l + 7 = 19, 2*j - 5*l + 142 = 0. Let g = j - -96. What is the remainder when g is divided by (6/(-4))/((-7)/42)?
8
What is the remainder when 20 + (-3)/((-3)/2) is divided by 8?
6
Let n(x) = -2*x - 23. Let m(h) = 1. Let t(y) = 6*m(y) + n(y). Let f(p) = -p. Calculate the remainder when t(-10) is divided by f(-1).
0
Calculate the remainder when (0/2)/5 + 48 is divided by 25.
23
Suppose -66 = -8*w - 10. What is the remainder when 32 is divided by w?
4
Suppose 2*v + 4*s - 26 = 3*s, 2*s = -3*v + 38. Let c(a) = -a + 20. Let t be c(9). Let j = -6 + t. Calculate the remainder when v is divided by j.
4
Calculate the remainder when 41 is divided by 116/10 + 18/(-30).
8
Suppose -5*d = -3*x + 32, x + 3*d - 24 + 4 = 0. Suppose -p + 4*p - 78 = 0. What is the remainder when p is divided by x?
12
Suppose h = -3*h. Suppose 5*p = -h*p + 35. Calculate the remainder when p is divided by 5.
2
Calculate the remainder when (1/(-2))/((-3)/270) is divided by (43 + -19)/(0 - -2).
9
Suppose -16*h = -14*h - 24. What is the remainder when 117 is divided by h?
9
Suppose -k + 26 - 7 = -i, -127 = -5*k - 3*i. Calculate the remainder when 43 is divided by k.
20
What is the remainder when 38 - (-6 - (-2 - 2)) is divided by 11?
7
Suppose -8 = 7*w - 8*w. Suppose 4 = 3*h - w. Calculate the remainder when h is divided by 3.
1
Let s(y) = y + 16. Let v be s(-11). Let f(c) = 17*c - 10. What is the remainder when f(v) is divided by 19?
18
Let a be -1*(3 + 32/(-4)). Let r(w) = 10*w**2 - w - 1. Let z be r(3). Suppose 0 = a*y - 9 - z. Calculate the remainder when y is divided by 7.
5
Calculate the remainder when -118*(-1 - -3)/(-2) is divided by 11.
8
Let a(p) = 2*p**2 - 4 - p**3 + 6*p**2 - 5*p - p**2 + 3. Let h be a(6). Suppose 2*q = h*q - 102. Calculate the remainder when q is divided by 18.
16
Suppose 4*r - 100 = -12. Calculate the remainder when r is divided by 8.
6
Let k(o) = o**2 - 2*o - 4. Suppose 4*z - 8*z = 3*r - 8, -r + 6 = -2*z. What is the remainder when 7 is divided by k(r)?
3
Suppose 4 = 3*i + 4*g - 0, -8 = -i + 2*g. Let 