. Let m = j + i. What is the remainder when 43 is divided by m?
13
Suppose -6 = -2*t, 2*o - 16 + 0 = -2*t. Let h(c) = -c**2 - 8*c + 3. Let b be (-8)/5*(-3 + 8). Calculate the remainder when o is divided by h(b).
2
Suppose 0 = -2*t + 5*u + 3, -2*t + 2 = -0*t - 4*u. Let n(l) = -4*l + 1. Calculate the remainder when 14 is divided by n(t).
4
Let c = 16 + -37. Let k = 29 + c. Let h = -4 - -17. Calculate the remainder when h is divided by k.
5
Let u(a) = 2*a**2 + 5*a - 1. Suppose -d - 4 = -h, -3*d + 0*d = 6. Calculate the remainder when (h*-22)/(-1) - 3 is divided by u(-4).
8
Suppose d + 180 = -4*d. Let a = d - -50. Calculate the remainder when 40 is divided by a.
12
Suppose 8 = 3*i - 1, -4*x + 246 = -2*i. What is the remainder when x is divided by 8?
7
Let i = 15 - 9. Let z(n) = 3 + 2 - i*n - 6 + n**2. What is the remainder when z(8) is divided by 8?
7
Let c = 10 - 3. Suppose 2*o - 55 = -3*o. Suppose 0 = -4*a + 5*j - 9, a - 3*j + o = -0*j. Calculate the remainder when c is divided by a.
3
Suppose -5*x + 41 + 99 = 5*g, -x + 5 = 0. Suppose 0 = -2*y - 5 + 13. Let a(q) = 3*q. What is the remainder when g is divided by a(y)?
11
Let l(d) = 9*d - 14. What is the remainder when 13 is divided by l(2)?
1
Suppose 134*l = 129*l + 25. Calculate the remainder when 24 is divided by l.
4
Let g(r) = -r**3 - 9*r**2 + r + 11. Let p be g(-9). Suppose 0 = 3*n - p*f - 90, f - 80 = -2*n - 13. Calculate the remainder when n is divided by 17.
15
Suppose 0 = -3*m - 0*m. Suppose m = 2*f + 3*f - 15. Let a = 11 + -6. What is the remainder when a is divided by f?
2
Suppose -101 = -5*s - 3*z, -99 = 3*s - 8*s - 2*z. Let u = 0 - 4. Calculate the remainder when s is divided by 130/18 + u/18.
5
Let o = -4 + 4. Suppose -3*h = -o*h - 108. What is the remainder when h is divided by 13?
10
Suppose -2*j = -5*j + 4*l + 13, 3*j + 4*l - 5 = 0. What is the remainder when 7 is divided by j?
1
Let y be (-2)/(-7) + (-6)/21. Let b = 3 - y. Let u = b + 1. Calculate the remainder when 7 is divided by u.
3
Let y(h) = -3*h + 6. Let x be y(3). What is the remainder when -1 + 3 - 63/x is divided by 8?
7
Suppose -4*z + 14 = -3*g - 303, -4*z - 5*g + 325 = 0. Calculate the remainder when z is divided by 12.
8
Let f(i) = 2*i - 9. Let v be f(7). Let w = 10 - v. What is the remainder when 19 is divided by w?
4
Let l = 8 + -3. What is the remainder when 96/7 + 2/7 is divided by l?
4
Let i be 6/(-2)*3/(-3). Let r(x) = 7*x - 2. What is the remainder when r(i) is divided by 10?
9
What is the remainder when 2*(18 - 2) + (-6)/(-2) is divided by 12?
11
Let z = -149 - -156. What is the remainder when (0 - -2)/(-2) - -14 is divided by z?
6
Let x be (-53)/(-5) + 18/(-30). Suppose -13*a + 99 = -x*a. Calculate the remainder when a is divided by 7.
5
Let m = 6 - -5. What is the remainder when 28 is divided by m?
6
Suppose 3 = v - 0. Calculate the remainder when (-12)/78 + (-41)/(-13) is divided by v.
0
Let n(s) = 2*s**2 + s + 2. Let h be n(-3). Suppose -3*b - h = 5*u - 97, b - 18 = -u. Calculate the remainder when 50 is divided by u.
11
Let h = -4 + 20. Calculate the remainder when 95 is divided by h.
15
Suppose 2*f - 38 = -12. Let q = f + -5. Calculate the remainder when (-25 - -4)/((-6)/4) is divided by q.
6
Let g = 6 + -6. Suppose 6 = 2*b - g. Calculate the remainder when 5 is divided by b.
2
Let x(q) = 6*q**3 + 5*q**2 - 5*q + 1. Let b(m) = 7*m**3 + 6*m**2 - 6*m + 1. Let u(t) = 5*b(t) - 6*x(t). What is the remainder when 76 is divided by u(-3)?
24
Let k be ((-3)/(-1))/(7/14). Let a = k + -1. Suppose -4*h - 2*p = -62, 0 = 4*p + 10 + 10. Calculate the remainder when h is divided by a.
3
Let d = -95 + 128. What is the remainder when d is divided by 12?
9
Suppose 5*l = g + 9, -4*l + 3 = g - 6. Let c(y) be the third derivative of 7*y**4/24 - y**3/2 - 2*y**2. What is the remainder when 20 is divided by c(l)?
9
Suppose 2*l + l - 5 = 4*q, -5*q = 5*l - 20. Calculate the remainder when 9 is divided by l.
0
Let w be ((-1)/1)/((-3)/(-12)). Let b(o) = -o - 6*o + 6*o + 2 + 2. Calculate the remainder when b(w) is divided by 3.
2
Let f = 14 - 22. Let o = f + 43. Suppose -4*g - 3*v + 54 = g, 0 = 4*g + v - 46. Calculate the remainder when o is divided by g.
11
Let z = -14 - -24. Suppose -x + 0*x + 4 = 0. Calculate the remainder when z is divided by x.
2
Let f(g) = -g**3 + 13*g**2 + 9*g + 2. Calculate the remainder when f(13) is divided by 40.
39
Let q(w) = w**2 - 7*w + 1. Let c = 19 + -8. Calculate the remainder when q(c) is divided by 16.
13
Suppose -x = -3*n + 3 + 19, n - 19 = -2*x. What is the remainder when 21 is divided by n?
3
Let j(n) = 2*n - n**2 + 5*n + 0*n**2. Let c(w) = -3*w**3 + w + 1. Let g be c(-1). Calculate the remainder when 23 is divided by j(g).
11
Suppose -69 = -4*c + c. What is the remainder when c is divided by 0 + (3 - 7) - -16?
11
Suppose 5*k = 4*k + 63. Calculate the remainder when k is divided by 16.
15
Suppose -2*y + 29 = 3*s, 3*y + s = -2*y + 53. Let c = -2 - -7. Suppose -214 = -c*z - 29. Calculate the remainder when z is divided by y.
7
Let n(o) = o + 4. Let d be n(-6). Let v = 5 + d. Suppose 3*m - 6 = v. Calculate the remainder when 5 is divided by m.
2
Suppose -2*p - 4 = -36. Let b be (7 - -3)*1/2. Let x = b + 4. What is the remainder when p is divided by x?
7
Let w = -36 + 74. Calculate the remainder when 111 is divided by w.
35
Suppose 0 = -4*s - 5*c + 243, 2*s + 3*c - c - 124 = 0. Calculate the remainder when s is divided by 7.
4
Let b be -18*(-1)/((-2)/(-20)). Suppose 0 = 2*c + 3*c - b. What is the remainder when c is divided by 13?
10
Suppose -5*v = -9*v + 24. What is the remainder when v is divided by (-2)/(-4)*(3 - -1)?
0
Suppose -w - 5*u = -17, 0*w - w + 2*u + 10 = 0. Suppose 3*g - g - w = 0. What is the remainder when 3 is divided by g*(-1)/(-9)*3?
1
Let p(x) = -3 - x + 2 - 2. Calculate the remainder when p(-5) is divided by 2.
0
Let f = 25 + -5. Calculate the remainder when 72 is divided by f.
12
What is the remainder when 30 is divided by (-791)/(-49) + 2/(-14)?
14
Suppose 3*s = 4*c - 0*s - 49, 4*c = 5*s + 39. Suppose -2*n + u = 19, -8 = -2*n + 2*u - 30. Let d = 14 + n. What is the remainder when c is divided by d?
4
Suppose -4*p + 6 = c - 215, -5*c = -3*p + 160. Calculate the remainder when p is divided by 19.
17
Suppose r - 6*r + 4*s = -58, -4*r + 41 = -5*s. Let b = r + -9. What is the remainder when b is divided by 3?
2
Let y(o) be the first derivative of 2*o**3/3 - o**2 - 3*o + 5. What is the remainder when y(-3) is divided by 3*(22/6 + 0)?
10
Suppose 3*r + 90 = 4*c - 2*r, -5*r = -5*c + 110. Calculate the remainder when c is divided by (14/(-1))/(-3 + 1).
6
Suppose 0 = -3*t + 2*h + 118, t + 3*h - 138 = -2*t. Calculate the remainder when t is divided by 23.
19
What is the remainder when 18/27 - 19/(-3) is divided by 3?
1
Let h be (-1)/((-2)/(-1 + 7)). Suppose h*x - 3*l + 19 = 4*x, 2*l - 8 = 0. Calculate the remainder when 27 is divided by x.
6
Let j(y) = -3*y - 5. Let r be j(-6). Suppose x + h = -2, -x + h = -2*h - 14. Suppose x*l = r + 9. Calculate the remainder when 32 is divided by l.
10
Suppose 0 = -3*p + 3*w - 9, -5 + 0 = -w. What is the remainder when p is divided by 1?
0
Let k = -88 - -102. Calculate the remainder when 54 is divided by k.
12
Let y(k) = -k**2 + 8*k - 4. Let f be (8/12)/((-6)/(-63)). What is the remainder when -3*(-2)/6*4 is divided by y(f)?
1
Suppose 0 = 5*f - f. Suppose -152 = -4*y + 4*i, f = 2*i - 2 - 2. What is the remainder when y is divided by 14?
12
Let p = -4 - -42. Let j = 12 + -2. Calculate the remainder when p is divided by j.
8
Let f = 25 + -4. What is the remainder when f is divided by 11?
10
Let d(h) = -h**2 - 13*h - 12. What is the remainder when d(-11) is divided by 4?
2
Let v = 5 + -2. Suppose -v*d + 9 = -3. Suppose 0 = 3*q - 4*y - 49, 3*q - y - y - 41 = 0. What is the remainder when q is divided by d?
3
Let p = 11 - 6. Suppose 4 - 34 = p*m. Let j(h) = -h**2 - 8*h - 4. What is the remainder when j(m) is divided by 5?
3
Calculate the remainder when 47 is divided by 4/14 + (-1328)/(-56).
23
Suppose -5*v + 160 = -v. What is the remainder when v is divided by 11?
7
Let c = -3 + 7. Suppose -5*f + c*k - 30 = -153, 2*f - 5*k = 56. Suppose -5*j - 32 = -4*x, 0 = -3*x + j - 4*j + 24. What is the remainder when f is divided by x?
7
Suppose -7*d + 55 = -50. C