ppose 3*l = 2*k - 0*l - 7, 0 = l - 1. Suppose i = -5*x + 30, -3*x + 18 = i + 4*i. Let n = 15 - x. What is the remainder when n is divided by k?
4
Suppose -2*b = k - 58, 5*b + 3*k - 4*k = 145. What is the remainder when b is divided by 6?
5
Let r = 37 - -4. Calculate the remainder when r is divided by (-70)/(-25)*(-2 - -10 - 3).
13
Let y(j) = -j**3 + 3 - 4 + 2*j - 3*j. Let o be y(-1). What is the remainder when 32 is divided by 2/(-2)*(-10 - o)?
10
Let h = 199 - 75. What is the remainder when h is divided by 32?
28
Let d be -1 + -3*(-4)/3. Suppose 0 = -5*r + d*c - 4*c + 30, -5 = 3*r - 4*c. Let y = 19 + -11. Calculate the remainder when y is divided by r.
3
Let d(f) = f**2 + 2*f + 2. What is the remainder when (-494)/(-10) + (-12)/30 is divided by d(3)?
15
Let r(g) = -g**2 + 8*g + 8. Let i be r(7). Let v = -12 + i. Let f(b) = -b**2 - 7*b - 6. Calculate the remainder when f(-5) is divided by v.
1
What is the remainder when ((-24)/(-36))/(0 - 4/(-366)) is divided by 8?
5
Suppose 3*m + 0*m = 9, 0 = 2*f - m + 27. Let g(i) = i**3 + 12*i**2 + i + 14. Calculate the remainder when 3 is divided by g(f).
1
Let p(n) = n**2 + 16*n - 13. What is the remainder when 15 is divided by p(-17)?
3
Let f be (-1)/((14/(-4))/7). Suppose f*r = 2*z + 20, 4*r + r - 38 = -z. Calculate the remainder when 19 is divided by r.
3
Suppose -5*r + 20 = -4*y - r, 2*y - r + 9 = 0. Let q = y - -23. What is the remainder when q is divided by 11?
8
Suppose 2*b + 8 = -2*b, 2*a = -4*b - 2. Suppose 6*r - 24 = a*r. Calculate the remainder when r is divided by 5.
3
Let g(v) = -4*v**2 + 3*v**2 + v**2 + 16*v**3 - 1. Calculate the remainder when g(1) is divided by 4.
3
Suppose -4*n + 3*n = 0. Suppose n = t + 3*t + 72. Calculate the remainder when 26 is divided by t*((-1)/(-1))/(-2).
8
Let m(f) = -21*f**2 - 3*f - 4. Let x(o) = o**2 + o + 1. Let z(p) = m(p) + 3*x(p). Let v be z(-1). Let a = v + 32. What is the remainder when 38 is divided by a?
12
Suppose 5*t = -5*r + 15, 4*r = -3*t - 2*t + 10. Calculate the remainder when 16 is divided by r/((-20)/12)*-3.
7
Let j = -9 - -15. Let g be 2*(2/(-4) - -2). Suppose -3*p = -g*d - 33, 0 = -p + 2*p + d - 21. Calculate the remainder when p is divided by j.
4
Suppose 0 = 3*z + 5*k + 251, -2 = 5*k - 12. Let u = -23 - z. What is the remainder when u is divided by 13?
12
Suppose 0 = 5*u - 25 + 5. Let v = u + -3. What is the remainder when 3 is divided by v?
0
Suppose 5*g - 4*b - 10 = 0, -g - b = 5 + 2. Calculate the remainder when -2*(-19)/4*2 is divided by -5*(-2)/2 - g.
5
Let v(h) = 2*h**2 - 4. Calculate the remainder when (5 - -32) + (1 - -2) is divided by v(3).
12
Let a be (-16)/20*35/(-2). Let k = a - -12. Suppose -2*w + k = -0*w + c, -3*w = 4*c - 49. Calculate the remainder when 20 is divided by w.
9
Suppose -5*i + 3*i + 124 = -5*w, -5*i = -4*w - 293. Calculate the remainder when i is divided by 10.
7
Suppose -2*m = 3*p - 32, -95 = -5*p - 0*p + 5*m. What is the remainder when 2 is divided by (-2)/7 - (-18)/p?
0
Suppose -11*p + 320 = 9*p. What is the remainder when 51 is divided by p?
3
Let a(x) = -5*x - 2. Let c be a(5). Suppose 0 = -u + 66 - 28. Let o = c + u. Calculate the remainder when 21 is divided by o.
10
Suppose -4*i + 12 = -o, -o - 15 = -5*i - 2*o. What is the remainder when 6 is divided by i?
0
Let j(i) = -20*i + 1. Let o = 5 + 1. Calculate the remainder when j(-1) is divided by o.
3
Suppose -3*u - 19 = -g, -4*u = g - 3*g + 26. Let r be (-2)/((-2 - -5)/u). Suppose 0*w + 44 = r*w. What is the remainder when w is divided by 6?
5
Suppose 0 = 11*c - 0*c - 66. What is the remainder when 154 is divided by c?
4
Let c = 9 - -4. Suppose 2*s - 375 = -3*s. Suppose u + 2*u - s = 0. What is the remainder when u is divided by c?
12
Suppose f + 3*f = -4. Calculate the remainder when 41 is divided by f/(-2)*(8 + 36).
19
Suppose 2*k + 3*k = 100. What is the remainder when 37 is divided by k?
17
Suppose 0 = -0*z + 5*z - 170. Suppose 3*r - 41 = -5*s, 3*r + s + s = 38. Suppose a - r = -o + 2*a, 0 = 2*a. Calculate the remainder when z is divided by o.
10
Suppose -4*s - 74 + 546 = 0. Calculate the remainder when s is divided by 30.
28
Suppose 5 = 2*j + 1. Suppose 0*o + 2*o + j*s = -4, 3*s = -12. Calculate the remainder when 4 is divided by o.
0
Let q(g) = -g**3 - 3*g**2 - g - 1. Suppose 8*s - 24 = 2*s. What is the remainder when s is divided by q(-3)?
0
Suppose 110*t - 82 = 109*t. What is the remainder when t is divided by 30?
22
Let r(i) = 8*i - 4. Suppose 2*a - a - n = -1, -4*a - 8 = -5*n. Suppose -2*h - 5 = -a*h. What is the remainder when r(h) is divided by 19?
17
Let s(b) = -3*b**2 + 1. Let j be s(1). Let d be j/4 - 13/(-2). Suppose 3*i + 9 = d*i. What is the remainder when i is divided by 2?
1
Suppose 0 = y + 2*z + 2, 3*y + 6 - 4 = -5*z. What is the remainder when 30 is divided by y?
0
Suppose 0 = 2*o - 0*o - 6. Suppose r + 4 = -0*r, -r - 34 = -o*m. What is the remainder when 28 is divided by m?
8
Suppose -7*f + 4*f = 15. Let d = -1 - f. Let v(b) = -b + 3. What is the remainder when d is divided by v(0)?
1
Let f(c) = -c + 2. Calculate the remainder when 15 is divided by f(-2).
3
Let v(h) = -3*h - 8. Let n(i) = i**3 + 10*i**2 + 1. Calculate the remainder when n(-9) is divided by v(-12).
26
What is the remainder when 19 is divided by 2/(2/(-4)*4)*-7?
5
Let l(v) be the third derivative of v**5/12 + v**4/12 - v**3/3 + 4*v**2. Let f = 1 + 7. What is the remainder when l(-2) is divided by f?
6
Let g be 176/28 - 4/14. Suppose -6 - g = -3*b. Calculate the remainder when 38 is divided by (2 - b)/((-4)/26).
12
Suppose -3*m - 263 = -2*j, 2*m - 705 = -5*j - 0*m. Calculate the remainder when j is divided by 47.
45
Suppose 15 = 3*m + 2*s, 3*s - 34 + 10 = -5*m. What is the remainder when 5 is divided by m?
2
Let l be (9 - 3)*(-5)/2. Calculate the remainder when 35 is divided by (-4)/3*(l - -6).
11
Let c = 34 + 1. Suppose -2*g = 3*q + c - 127, -2*q - 138 = -3*g. Let w = -17 + 41. What is the remainder when g is divided by w?
22
What is the remainder when 25 is divided by (2 - 3)/(1/(-7))?
4
Let r(f) = -f**3 + f**2 + 2*f + 2. Let o be 40/(-20)*1/1. Let p(j) = -j**3 + 7*j**2 - 2*j - 6. What is the remainder when p(6) is divided by r(o)?
8
Let t = 8 - 5. Let b = t + -9. Let g = 12 + b. Calculate the remainder when 10 is divided by g.
4
Let s(p) = -5 - 5*p**2 + 8 - 14*p + 7 + 4*p**2. What is the remainder when s(-12) is divided by 18 + 1 + -1 + 0?
16
What is the remainder when 98 + (-5)/10*-6 is divided by 26?
23
Let q = -17 - -92. Calculate the remainder when q is divided by 7.
5
Let x(o) = -o + 14. What is the remainder when 13 is divided by x(6)?
5
Let v = -41 - -81. Suppose -56 = -2*m - 5*r, 2*m + 2*r + 42 = 4*m. Let i = v - m. What is the remainder when i is divided by 9?
8
Suppose 3*z - f - 1 - 31 = 0, -4*z + 11 = 5*f. Let y = -5 + 8. Suppose x + 4*s - y = 6, -2*x - 5*s + 30 = 0. What is the remainder when x is divided by z?
7
Let h = 64 - -60. Calculate the remainder when h is divided by 16.
12
Suppose -4*i + i + 4*o = -109, 2*i + 2*o - 54 = 0. Calculate the remainder when i is divided by 16.
15
Let t(s) = -s - 11. Let r be t(-9). Let v(z) = -6*z + 2. What is the remainder when 41 is divided by v(r)?
13
Suppose 10*h + 24 = 14*h. What is the remainder when h is divided by 2?
0
Suppose -4*p + 0*i = 4*i - 176, 4*p - 2*i = 194. Suppose -6*z = -2*z - 4*b - 48, -5*z + 4*b + 64 = 0. What is the remainder when p is divided by z?
15
Suppose 0 = -10*h + 8 + 12. Let g(a) = 4*a - 8. Let w(p) = -p + 3. Let x(j) = 2*g(j) + 7*w(j). What is the remainder when x(0) is divided by h?
1
Calculate the remainder when 138 is divided by (15/5 + 32)*(-1)/(-1).
33
Suppose -7*l + 216 + 281 = 0. What is the remainder when l is divided by 38?
33
Suppose 3*x + 2*x - 16 = -2*a, 5*a + 2*x = 82. What is the remainder when 105 is divided by a?
15
Let b be (-2)/(5/(85/(-2))). Suppose b = -5*k + 117. Calculate the remainder when k is divided by 7.
6
Let o(l) = -l**3 - 5*l**2 + 3*l + 3. Let s be o(-6). Suppose 2*n + s = 3*k, 5*k + 0*k = 5*n + 30. Calculate the remainder when k is divided by 5/3*(2 - -1).
4
Let c = -20 - -28. What is the remainder when 14 is divided by c?
6
Suppose 11 = 4*s + 191. Let z = s - -108. Calculate the remainder when z is divided by 13.
11
Let b = 144 - 59. Calculate the remai