e 0 = -2*h - h + 6. Suppose 0 = -r + 5 + h. Calculate the remainder when 11 is divided by r.
4
Let d be (-321)/(-6) + (-3)/(-6). Suppose -p + 0*p = -5*j + d, -3*p - 22 = -j. Calculate the remainder when 38 is divided by (-8)/(-3)*75/j.
18
Let d be -1 - (2 + -19 + -3). Suppose 4 + d = j. Calculate the remainder when j is divided by 6.
5
Suppose 4*p = -r + 24, 4 + 0 = p. Let s(o) = -o**3 + 7*o**2 + 8*o + 5. Calculate the remainder when s(r) is divided by 4.
1
Let p(y) = -17*y. Suppose -3*d - 36 = -5*d. What is the remainder when p(-2) is divided by d?
16
Let l(k) = 4*k**2 - 24*k. Calculate the remainder when l(7) is divided by 15.
13
Let n = -113 + 184. What is the remainder when n is divided by 15?
11
Let n = 19 + -7. Suppose -3*f - n = -0*f. What is the remainder when 17 is divided by (2/f)/((-7)/84)?
5
Let c = -3 + 17. Suppose -t - 3*p = -c, -29 = -4*t - p - 2*p. What is the remainder when 18 is divided by t?
3
Suppose -7 = -3*l + 11. Let c = l + -12. Let y = 31 + c. Calculate the remainder when y is divided by 13.
12
Suppose -51 = -3*f + 5*w, -49 - 36 = -5*f - 5*w. Suppose m - 20 = f. What is the remainder when m is divided by 10?
7
Suppose -13 - 2 = -3*g. Suppose -5*x + 44 = 179. Let i = x - -29. What is the remainder when g is divided by i?
1
Suppose -10 = -4*p - 2. Suppose p*z + 5 = 25. What is the remainder when 18 is divided by z?
8
Calculate the remainder when 186 is divided by (-95 - -1)*6/(-12).
45
Suppose 3*m + 28 = h - 2*m, h - 2*m = 19. Let q(x) = 3*x**2 + 5*x + 8. Calculate the remainder when q(-4) is divided by h.
10
Suppose 2*s = -2*l - 3*s + 16, -5*l - s = -17. Suppose -r - 222 = -3*o, -4*o + l + 303 = 2*r. Calculate the remainder when o is divided by 26.
23
Let q(c) = -4*c**3 - 3*c**2 + 4*c + 12. Let i(h) = -h**3 - h**2 + h + 1. Let m(a) = -3*i(a) + q(a). Calculate the remainder when m(0) is divided by 6.
3
Let m(x) = 8*x + 6. Let p be (-4)/8 + 13/2. Suppose 3*k + j = 5*j + 76, -2*k + 2*j = -52. What is the remainder when m(p) is divided by k?
26
Suppose 0 = -2*x + 6, 2*s - 15 = -3*x - 0*x. Let j(i) = i**3 - 4*i**2 + i + 2. Let r be j(s). Let f = 31 + r. What is the remainder when f is divided by 14?
13
Suppose 8*t = 13*t - 60. What is the remainder when 47 is divided by t?
11
What is the remainder when 1*79 - (-10 + 6) is divided by 42?
41
Let z = -7 - -3. What is the remainder when 9 is divided by (z/8)/((-1)/12)?
3
Suppose 3*t - 58 - 89 = 0. Let g(v) be the second derivative of -v**3 - v**2/2 - 3*v. Calculate the remainder when t is divided by g(-3).
15
What is the remainder when 2/5*(18 - -2) is divided by 3?
2
Suppose 3*y = -5*l + 4*l + 61, 86 = 2*l - 3*y. Calculate the remainder when l is divided by 13.
10
Suppose 0 = 3*d + d - 136. Let x = -20 + d. Suppose l - 1 = 4. Calculate the remainder when x is divided by l.
4
Let o be 1/(-3) - 458/(-6). Suppose z + 2*m = 12, m + m = 3*z - o. What is the remainder when z is divided by 6?
4
Suppose 30 = -34*h + 36*h. What is the remainder when 36 is divided by h?
6
Let w(b) = 4*b**2 + 7*b + 9. What is the remainder when w(-8) is divided by 42?
41
Let t = -13 + 35. Let i = 0 - -3. What is the remainder when (i + 5)*t/4 is divided by 15?
14
Suppose -3*r = 2*w - 2*r + 8, -5*r = -2*w - 32. Let p = w - -8. Suppose 3*t - 3*f = 7*t - 11, 4*f + 2 = -p*t. What is the remainder when 7 is divided by t?
2
Let u be -2 + (-2)/(-4)*8. What is the remainder when 4 is divided by (u/(-4) - -2)*2?
1
Let o = 12 - 6. Let a(s) = 2*s**2 - 5*s - 7. What is the remainder when a(o) is divided by 12/(1/1*1)?
11
Suppose 4*x - 18 = 3*k, x - 2*k - 16 = -3*x. Suppose -4 = x*h - 31. Suppose 70 = 3*c - 2*b + h, -2*c = 5*b - 47. What is the remainder when c is divided by 11?
10
Suppose 4*z - 46 - 38 = 0. What is the remainder when 38 is divided by z?
17
Suppose 0 = -3*j + n + 46, 2*j - 4*j + 20 = 2*n. Suppose -2*p - 4*a - a + j = 0, p + a - 1 = 0. What is the remainder when (-6)/18 - 97/p is divided by 17?
15
Suppose 0 = -t - c - 1, -4*c + 1 = t + 5. Suppose t = -4*r + r + 93. Calculate the remainder when r is divided by 8.
7
Let k = -6 + 9. Suppose 3*u - u - 5*y = 14, 2*y = k*u - 21. What is the remainder when 12 is divided by u?
5
Let x(b) = 2*b**2 - 5*b + 14. Calculate the remainder when x(4) is divided by 9.
8
Suppose -5*d - 4*f = -1, -6 = 5*f - 1. Let m(s) = 5*s**3 - 2*s + 1. Calculate the remainder when 11 is divided by m(d).
3
Suppose 3*g - 4*r - 17 = 0, -g - 6*r + 27 = -2*r. What is the remainder when g is divided by 4?
3
Let d = -3 - -16. Calculate the remainder when 51 is divided by d.
12
Suppose 4*j - u - u + 390 = 0, 5*u - 15 = 0. Let i be (j/7)/((-12)/336). Calculate the remainder when 6/(-27) - i/(-27) is divided by 4.
2
Let w(i) = 4*i**3 - i**2 + 3*i - 1. Calculate the remainder when w(1) is divided by 5.
0
Suppose 0 = 3*g - 17 - 4. Calculate the remainder when g is divided by 3.
1
Let y(a) = 14 + 10 - 5 + 0*a - a. Let i(g) = -4*g + 2. What is the remainder when y(0) is divided by i(-2)?
9
Suppose -4*s - 12 + 68 = 0. What is the remainder when (12 + -3)*(3 + 0) is divided by s?
13
Let c = 31 - -52. Calculate the remainder when c is divided by 21.
20
Let n(h) = 3*h - 17. Calculate the remainder when 17 is divided by n(9).
7
Suppose 2*o = -o + 3*f + 24, 4*o - f = 23. What is the remainder when 58 - (2/(-1) - -2) is divided by 6/o*100/6?
18
Suppose 0 = a - 0*a - 5*x - 16, 2*a + 33 = -3*x. Let c = -1 - a. What is the remainder when c is divided by 5?
3
Suppose -5*d = -4*g + 40, 0*g + 20 = 2*g - 3*d. Let c be (1*-8 - -1)*1. Let j = c - -11. What is the remainder when g is divided by j?
2
Let r(k) = 18*k**2 + k - 1. Let l(i) = -2*i. Calculate the remainder when r(1) is divided by l(-5).
8
Let u(x) = -x**3 - 8*x**2 - 6*x - 15. Let c be 105/(-12) + (-6)/(-8). What is the remainder when u(c) is divided by 7?
5
Suppose -7*z = -2*z - 200. Suppose 4*o - 6*o = -z. Calculate the remainder when 58 is divided by o.
18
What is the remainder when (21 + -12)*(-14)/(-3) is divided by 15?
12
What is the remainder when 37 is divided by ((-30)/(-4))/(15/20)?
7
Suppose 0*a = 3*a - 9. Suppose g = -d + 7 - 1, -a*g = 2*d - 20. Calculate the remainder when 30 is divided by g.
6
Let o(f) = f**2 + f + 3. What is the remainder when o(3) is divided by 6?
3
Suppose 2*z + 7 - 1 = 0. Let g = z + 7. Suppose -g*p + 90 = p - 5*v, 4*p = 2*v + 80. Calculate the remainder when p is divided by 12.
10
Suppose 4 = 2*t + 28. Calculate the remainder when 52 is divided by 4/t - 110/(-6).
16
Let a = -1 + 6. Suppose 0*y + a*y = 295. Suppose 29*l = -4*b + 30*l + 77, 3*b - 54 = 2*l. Calculate the remainder when y is divided by b.
19
Let x(l) = -l**2 - l + 2. Let v be ((-3)/(-6))/((-2)/12). Let k be x(v). What is the remainder when 2/k + 110/4 is divided by 14?
13
Suppose 12*p - 11*p - 10 = 0. Suppose -5*o - 146 + 16 = -5*z, z = -o - 34. Calculate the remainder when p is divided by (2/(-5))/(3/o).
2
Let d be (-5 + 6)*(-51)/3. Let v = 20 + d. Suppose 4*s - 7 = 17. Calculate the remainder when s is divided by v.
0
Suppose -245 = 30*g - 35*g. Calculate the remainder when g is divided by 9.
4
What is the remainder when -15*2/(32/18 + -2) is divided by 17?
16
Let y = -1 + 3. Suppose 0 = -y*v + 6*v. Let i(k) = k**3 + k + 10. What is the remainder when 29 is divided by i(v)?
9
Let w(n) = -4*n + 3*n**3 + 0*n - 2*n**3 - 2*n - 3 + 3*n**2. Suppose -4*d + 6*d = 26. What is the remainder when d is divided by w(-4)?
3
Let t be 3*(-1)/(-3)*-20. What is the remainder when 83 is divided by (-1*7)/(5/t)?
27
Suppose 2*u - q = -3*u + 68, 3*u + 5*q = 52. Calculate the remainder when 26 is divided by u.
12
Let k(i) = -6*i. Let h be k(-1). Let d = h + -4. Calculate the remainder when d is divided by 1.
0
Suppose f - 4*f = -15. Suppose -f*d - h + 2 + 10 = 0, -2*d + 3*h = -15. What is the remainder when d is divided by 3?
0
What is the remainder when 43 is divided by ((-69)/9)/((-2)/6)?
20
Let k(b) = -5*b + 3. What is the remainder when k(-11) is divided by 30?
28
Let b(d) be the second derivative of -d**3/6 - 3*d**2 - d. Let q be b(-8). Suppose 0 = k - 11 + q. Calculate the remainder when 17 is divided by k.
8
Calculate the remainder when 41 is divided by (-106)/(-10) - 12/(-30).
8
Let v(l) = l**3 - 3*l**2. Calculate the remainder when 47 is divided by v(4).
15
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