
8
Suppose 0 = 5*a + 23 - 73. Calculate the remainder when 29 is divided by a.
9
Let u = -16 + 25. Suppose -g + 7*q = 4*q - 17, 5*q - u = -3*g. What is the remainder when 38 is divided by g?
6
Let s = 25 - 10. Suppose -3*l - 74 = 2*n, 0*n = -n + 3*l - 28. Let w = n + 61. Calculate the remainder when w is divided by s.
12
Suppose 2*w - 78 = -3*o - o, 0 = 4*o - 5*w - 99. Suppose g + 5 = o. Suppose -g = -u - 5*x, -4*u + 15 = -u + 4*x. What is the remainder when u is divided by 1?
0
Let u(z) = -8*z - 2. Let p be u(-1). Suppose 0 = -p*r + 4*r + 20. Calculate the remainder when r is divided by 4.
2
Let a be ((-336)/30)/(2/(-10)). Suppose 3*q = 140 - a. What is the remainder when 83 is divided by q?
27
Suppose 8*z = -81 + 1001. Calculate the remainder when z is divided by 39.
37
Let r(f) = f**2 - 4*f - 4. Let y be r(5). Let i(d) be the second derivative of 2*d**4/3 - d**3/6 - 4*d. Calculate the remainder when i(y) is divided by 4.
3
Let h = 2 - 0. Suppose 5*p = -g + 26, 0 = -2*g + 7*g - h*p - 103. What is the remainder when g is divided by 11?
10
Suppose 2*x = 3*j + 11, -3 - 3 = -2*x - 2*j. Suppose -3*r + 2*d - 20 = -4*r, 0 = -3*r - x*d + 50. What is the remainder when 17 is divided by r?
7
Calculate the remainder when 6 is divided by 4/(-6) + (-32)/(-12).
0
Let h = -24 - -34. Let c = -23 - -42. What is the remainder when c is divided by h?
9
Let q = -112 - -150. Calculate the remainder when q is divided by 21.
17
Let d(y) = -7*y**2 - 1. Let o be d(-2). Let l = 44 + o. What is the remainder when 44 is divided by l?
14
Suppose 0 = -4*x + x + 18. Suppose -z = 3*o - 8, 2 = z + o - 4*o. Suppose 6*i = z*i + 16. Calculate the remainder when i is divided by x.
4
Calculate the remainder when 12/2*(-26)/(-4) is divided by 14.
11
Suppose 5*c - 37 = -4*n, -n + 3*c - 43 = -6*n. Suppose -3*a + n + 13 = 0. What is the remainder when 19 is divided by a?
5
Suppose -u + 12 = -d - 18, -2*u + 42 = 4*d. Calculate the remainder when 186 is divided by u.
24
Suppose z = 6*z - 15. Suppose -12 = -z*d + 2*d. Let i = 83 - 49. Calculate the remainder when i is divided by d.
10
Let x(b) be the first derivative of 13*b**3/3 + 2*b**2 + 2*b + 3. Suppose -3*i + 48 = -0*i. Calculate the remainder when x(-2) is divided by i.
14
Let c be 2/8 + (-214)/(-8). What is the remainder when (-6)/c - 454/(-18) is divided by 14?
11
Suppose 20 = -5*l + 3*b, 5*l + 0*b + 2*b - 5 = 0. Calculate the remainder when -2 + 4 - (-2 + l) is divided by (-46)/(-14) - (-2)/(-7).
2
Suppose -3*a = 2*a - 20, 3*l + a = -2. Let r(b) = -b**3 - 3*b**2 + b + 2. Let u be r(l). Calculate the remainder when 41 is divided by u/14 + (-200)/(-14).
13
Let p = 7 - -45. Suppose p = 10*c - 6*c. Calculate the remainder when 36 is divided by c.
10
Let d(k) = k**2 + 3*k - 6. Let v be (9/(-4))/((-4)/(-16)). Let w be d(v). Suppose 2*u + w = 5*u. Calculate the remainder when u is divided by 9.
7
Suppose 4*y = -4 - 8. Let x = 5 + y. Let f = -81 + 87. What is the remainder when f is divided by x?
0
Let q(s) = -2*s + 25. Calculate the remainder when q(-13) is divided by 13.
12
Suppose 6*r = -22 + 160. What is the remainder when 58 is divided by r?
12
Let o(k) = -k**3 + 6*k**2 + 3*k - 10. What is the remainder when o(5) is divided by 17?
13
Let f(t) = 2*t**2 + 2*t. Let n = 8 + -1. Calculate the remainder when f(2) is divided by n.
5
Suppose -6*w - 116 = -10*w. What is the remainder when 56 is divided by w?
27
Let d(a) = 3*a - 3. Let k be d(3). Suppose k*n - 16 = 4*n. Suppose -i + 3*y = -n, y - 32 = -4*i + 3*y. What is the remainder when i is divided by 3?
2
Let g = -206 - -334. Calculate the remainder when g is divided by 13.
11
Suppose 6 = 3*d - 6. Suppose 16 = -d*r - 4*t, 0*t = -3*r + 5*t + 28. Calculate the remainder when 2/4 + 2/4 is divided by r.
0
Let n be (-5 - -9)*6/8. Suppose -2*x - u - n*u = -14, 0 = -4*x - 2*u + 16. Calculate the remainder when 4 is divided by x.
1
Let f(i) = -i**3 - 4*i**2 - i + 6. Suppose -3*o + 19 + 26 = 0. Suppose d - o = 4. What is the remainder when d is divided by f(-4)?
9
Let s(m) = -3*m - 2 - m**3 + m**3 - 2 - m**3 - 3*m**2. Calculate the remainder when s(-3) is divided by 2.
1
Suppose 6 = 2*j - 3*d, 2*j - d - 2 = j. Suppose 5*b - b - 24 = j. Calculate the remainder when 21 is divided by b.
3
Let j(u) = -u**2 + 9*u + 5. What is the remainder when 73 is divided by j(5)?
23
Let h(z) = -18*z**2 + 59*z - 4. Let j(u) = u**3 - 5*u**2 + u + 1. Calculate the remainder when h(3) is divided by j(5).
5
Let b(d) = d**3 - 3*d**2 + 4*d + 3. Let n be b(4). Suppose n = 2*g + p - 72, -5*p + 15 = 0. What is the remainder when g is divided by (-27)/(9/6 + -3)?
16
Suppose 12*m = -3 + 111. Suppose -1 = -2*h - 5, -122 = -5*l + h. Calculate the remainder when l is divided by m.
6
What is the remainder when (6*1)/((-15)/(-30)) is divided by 7?
5
Let u = 31 - -8. Suppose -p + u = -10. What is the remainder when p is divided by 26?
23
Let m(d) = -d + 4. Let q be m(3). Let x = q + 1. Suppose -6*j + j + 34 = 3*c, x*c - 12 = -2*j. Calculate the remainder when 23 is divided by j.
7
Suppose 0 = j + 4*l + 5, -3*l + 36 = 4*j - l. Calculate the remainder when 1 + 20 - 0/1 is divided by j.
10
Suppose -x - 6 = -c + 3, -15 = 5*x. Calculate the remainder when 16 is divided by c.
4
Suppose -2*m = -22 + 14. Let j = -36 - -51. Calculate the remainder when j is divided by m.
3
Suppose -5*n = 3*l - 64, 0 = 3*l - 8*l + 2*n + 148. Let g = 32 + -17. What is the remainder when l is divided by g?
13
Let f(t) = 2*t**2 - 7*t - 8. Suppose -21 = -3*q + u, -4*q - 4*u + 15 = -u. Calculate the remainder when (-6)/(-10)*129/(-9)*-5 is divided by f(q).
21
Let h be 9/3*2/6. Let t be (h + (-13)/7)*7. Let m = t - -10. Calculate the remainder when 6 is divided by m.
2
Let f = 1 - -2. Suppose f*h + 205 = 8*h. What is the remainder when h is divided by 14?
13
Let q = -56 + 223. What is the remainder when q is divided by 56?
55
Let q(s) = s**3 + 18*s**2 + 2*s + 50. What is the remainder when -1 + (29*2 - 2) is divided by q(-18)?
13
Suppose 3*q - 3*n + 51 = -0*n, 4*n = -16. What is the remainder when 26 is divided by (-4 - -3)/(3/q)?
5
Let o(x) = 4*x**2 + 2*x + 9. What is the remainder when o(5) is divided by 30?
29
Let j(o) = 2*o**2 - 2*o + 1. What is the remainder when j(-4) is divided by (-86)/(-8) - 10/(-40)?
8
Let f(g) = g**3 + 8*g**2 - 4*g - 1. Let j(s) = s**3 + 7*s**2 - 3*s - 2. Let b(v) = -2*f(v) + 3*j(v). What is the remainder when 1 is divided by b(-5)?
0
Let w = 20 + -3. Calculate the remainder when 65 is divided by w.
14
Let i(f) = 2*f**3 + 2*f**2. Suppose 2*d - 2*r - 24 = 0, -d + 2*r = -15 + 4. Calculate the remainder when i(2) is divided by d.
11
Suppose 0*l - 2*l + v + 41 = 0, -2*v = -10. What is the remainder when l is divided by (4/(-3))/(2/(-18))?
11
Suppose j = 2 + 2. Let n(t) = 14*t. Calculate the remainder when n(1) is divided by j.
2
Let p be (8/10)/(5/25). Suppose -p*f + 132 = 2*y, 95 = 3*y + 3*f - 106. Suppose -4*u + 204 = y. What is the remainder when u is divided by 18?
16
Let n be 0/((2 - 1)*2). Suppose -5*q + 90 + 20 = n. What is the remainder when q is divided by 8?
6
Suppose 0 = -6*s + s + 30. Let d(j) = j**3 - 6*j**2 + j + 8. Calculate the remainder when 26 is divided by d(s).
12
Suppose 0 = p + 2*l + 3, 3*p + 13 = -4*l - 0*l. Let u = -1 - p. What is the remainder when 2*7*u/4 is divided by 6?
3
Suppose -2*t + 18 = 6*a - a, 0 = 5*t + 5*a - 30. Suppose -3*m + 24 = -0*m. Let s = -1 + m. Calculate the remainder when s is divided by t.
3
Calculate the remainder when 14 is divided by (5/((-5)/8))/(-1).
6
Let x = 0 - -13. What is the remainder when x is divided by 4?
1
Suppose 4*h - 5 = 3*h, -3*h - 1 = -2*r. What is the remainder when 45 is divided by r?
5
Let c = -42 - -48. Calculate the remainder when 16 is divided by c.
4
Let v = -82 + 180. Calculate the remainder when v is divided by 25.
23
Let h(c) be the third derivative of -c**6/120 - c**5/15 - c**4/12 - c**3 + 15*c**2. Let i = 7 + -11. What is the remainder when 4 is divided by h(i)?
0
Suppose -2*a - 1 - 3 = 0. What is the remainder when a + 24/3 + 4 is divided by 4?
2
Suppose 4*a - 20 = 0, -h - 2*a = 4*h. Suppose -5*w = -i - 4, -2*w - 3*w = 5*i - 40. Let o = i - h. Calculate the remainder when o is divided by 3.
2
Calculate the remainder when 91 is divided by -2 - (-1)/(-1) -