= -3*n + 3*v + 6, -2*v + 2 = -3*n + 3*v. Suppose -3*c - 27 + 0 = 0. Calculate the remainder when 22/(-3)*c/n is divided by 4.
3
Let d(u) = 2*u**3 - 4*u**2 + 2*u + 1. Let t = 2 - 0. Suppose -7 = -3*m + 20. What is the remainder when m is divided by d(t)?
4
Let w(f) = f**2 - 5*f + 10. Let g be w(5). Let t = g + -7. What is the remainder when 9 is divided by t?
0
Let a(t) = 4*t - 10. Let j = 3 + 4. Calculate the remainder when a(7) is divided by j.
4
Suppose 4*i - i - 9 = 0. Suppose i*b - 2*n = 64, -52 = -3*b + 4*n + n. Let h = b - -10. What is the remainder when h is divided by 12?
10
Let z = -14 - -54. Suppose 0*j = 2*j - z. Suppose 4*u = 11 + 17. What is the remainder when j is divided by u?
6
Suppose -4*i + 68 = 2*b, -5*i - 27 = 3*b - 4*b. What is the remainder when 63 is divided by b?
31
Let h = -17 + -16. Let i = h - -46. Calculate the remainder when 36 is divided by i.
10
Suppose 0 = -0*o + 3*o - 9. Suppose 2*j - 2*l = -o*j + 110, -3*j + 75 = -3*l. What is the remainder when j is divided by (0 - 33)/(-3) + 0?
9
Let x(j) = 0*j**3 - 7*j**2 + j**3 + 6*j - 1 + 4. Suppose -4*y + 5*n = -3*y - 8, 3*y + 5*n = 24. What is the remainder when y is divided by x(6)?
2
Suppose -3*l - 9 = -4*l - 5*j, -3*j = 4*l - 104. Calculate the remainder when 115 is divided by (l + 0)*(-6 + 7).
28
Suppose 5*p = p + 8. Suppose 5*m - 51 = -p*k, k = -3*m + 16 + 11. Let l = 60 - 25. Calculate the remainder when l is divided by k.
17
Let a(t) be the third derivative of t**5/60 - t**4/8 - 2*t**3/3 + t**2. Let g be a(3). Calculate the remainder when (-40 - -2)*2/g is divided by 10.
9
Let y = -44 + 64. Suppose 0 = -4*a + y - 0. Suppose 0 = -a*o - 3*j + 235, o + 0*o - 70 = 4*j. What is the remainder when o is divided by 13?
11
Let a(m) = 6*m - 7 + 3 + 2*m**2 - 3*m. Calculate the remainder when a(-6) is divided by 13.
11
Suppose 2 = 5*n - 38. Let x = -7 - -3. Calculate the remainder when 7 is divided by (-2)/x*n/1.
3
Suppose -3*f + 2 + 7 = 0. Suppose 8 = -4*b + f*b. Let z = -5 - b. Calculate the remainder when 4 is divided by z.
1
Suppose 1 = 2*f - 27. Calculate the remainder when 41 is divided by f.
13
Suppose -2*m + 5 = -u - 4, 3*m = -3*u + 18. Let v(z) = -8*z**3 + 2*z**2 + z. Let r = -7 + 6. What is the remainder when v(r) is divided by m?
4
Suppose -4*x + 51 + 29 = 0. Calculate the remainder when 35 is divided by x.
15
Let h be ((-12)/14)/(-1)*-7. Let k(o) = -o**2 - 7*o - 2. Let t = 31 + -21. What is the remainder when t is divided by k(h)?
2
Let b(g) = 16*g**2 - g. Let n be b(1). Let u = n + -11. Calculate the remainder when ((-10)/1)/1*-1 is divided by u.
2
Let s(l) = l**2 - 5*l + 9. Let n(y) = 5*y**2 + 1. Let w be n(-1). Calculate the remainder when s(w) is divided by 8.
7
Let v(w) = w**3 + 8*w**2 - 9*w - 1. Let n be v(-9). Let d = n - -2. Calculate the remainder when d is divided by 1.
0
Suppose -p + 4*x = -5, p + 10 = 3*p - 4*x. Let y(h) = 7*h + 5*h - 6 + 6 - p. Calculate the remainder when y(4) is divided by 15.
13
Suppose 0 = 3*t - 5*w - 26, -3*w = 5*t + 14 - 46. Let k = -5 + 10. Suppose h + 17 = 4*h + k*i, -3*h + 4*i = -8. Calculate the remainder when t is divided by h.
3
Let f(p) = -p**3 + p**2 - p + 21. Calculate the remainder when f(0) is divided by 4.
1
Let r(t) = -t**2 + 7*t + 2. Let g(w) = 7*w**2. Let p be g(1). Let d be r(p). Suppose d = 4*i - 6. Calculate the remainder when i is divided by 1.
0
Suppose 2*y = y - 2*s + 27, -4*s + 27 = y. Calculate the remainder when 79 is divided by y.
25
Let a = 131 + -118. Calculate the remainder when 127 is divided by a.
10
Let x(t) = -t - 21. Suppose -4*q - 9 = o - 4*o, -3*o + 33 = 4*q. Calculate the remainder when o is divided by x(-23).
1
Let t(o) = -15*o + 3. What is the remainder when t(-1) is divided by 5?
3
Let l be -4*(-1)/2 - -3. Suppose 0 = 5*z - 2*h - 96, -l*z + z - 4*h = -60. Calculate the remainder when ((-99)/(-15))/((-2)/(-10)) is divided by z.
15
Suppose k - 5*p = 21, k - 4*p - 1 = 18. Let b = k + -5. Calculate the remainder when 28 is divided by b.
4
Let o(v) = 4*v - 3. Let p(k) = k - 1. Let i(y) = 2*o(y) - 7*p(y). Calculate the remainder when 2/(2/4*1) is divided by i(2).
1
Let j be (11 + -3)*(-63)/(-12). Suppose -3*x + 3 = 3*k, -x = 5*k - k + 8. What is the remainder when j/(3/1)*1 is divided by x?
2
Let h = -154 + 219. Calculate the remainder when h is divided by 17.
14
Calculate the remainder when 12/20 - 212/(-5) is divided by 15.
13
Let v = 8 - 6. Suppose -v*d = d - 33. Suppose -5*f = -114 + 14. Calculate the remainder when f is divided by d.
9
Let i(x) = -2*x - 26. Let s be i(-15). Let f(z) = z**3 - 1 + 1 + 4 - 4*z**2. What is the remainder when 11 is divided by f(s)?
3
Calculate the remainder when 45 is divided by (18 + -41)/((-4)/2 + 1).
22
Suppose -14*n + 12*n = -66. What is the remainder when n is divided by 17?
16
Let z = 20 - -18. Suppose -2*h - 2*h = -48. Let k = 25 - h. What is the remainder when z is divided by k?
12
Let v = 61 + -37. What is the remainder when v is divided by 9?
6
Let m(k) = 59*k**2 - 3*k + 10. Let h(j) = -39*j**2 + 2*j - 7. Let q(p) = 7*h(p) + 5*m(p). What is the remainder when q(1) is divided by 6?
4
Let c = 3 - 8. Calculate the remainder when 30*3/(-4 - c) is divided by 23.
21
Suppose 3*w = 5*w - 74. Let a(c) = c**2 - 10*c - 26. What is the remainder when w is divided by a(13)?
11
Suppose 5*b - 49 = -2*f, 5*f + 5*b - 9 = 106. What is the remainder when f is divided by 4?
2
Suppose -2*z - 45 + 423 = 0. Calculate the remainder when z is divided by 38.
37
Suppose 28 - 68 = -2*c. Let s = 9 - 4. Suppose h = s*h - c. What is the remainder when h is divided by 3?
2
Suppose -p + 2*m = -5, -6*p = -9*p + m + 40. What is the remainder when 27 is divided by p?
12
Suppose -5*x + 20 = -2*h, -5*h - 1 + 8 = -3*x. Calculate the remainder when 36 is divided by ((-57)/x)/((-6)/12).
17
Suppose -w + 81 = 2*u + 3*u, 4*w + 101 = 5*u. Suppose -4*l + 50 + 210 = 0. Calculate the remainder when l is divided by u.
14
Let u be (4 - -3)*(-1 - -19). Suppose -4*j = -0*j - 3*p - 173, -3*j + 3*p = -u. Let y = -32 - -48. What is the remainder when j is divided by y?
15
Let p = -17 - -34. What is the remainder when 49 is divided by p?
15
Let r be (-90)/3*(-6)/(-15). Let a = 18 + r. Let m(k) = k**3 - 5*k**2 - 4*k - 6. Calculate the remainder when 17 is divided by m(a).
5
Let w = -2 - -4. Let j be ((-2)/(-4))/(w/16). Let k = 19 - j. What is the remainder when 43 is divided by k?
13
Let j(p) = -p**2 - 6*p - 2. Let m be j(-5). Suppose -129 = -5*f + m*x, -3*f - f = 4*x - 84. Calculate the remainder when f is divided by (0 + 1)/((-2)/(-26)).
11
Suppose 4*k = -19 + 71. Calculate the remainder when 37 is divided by k.
11
Let y(w) = 5*w**3 - w - 2. Let b be y(2). Suppose -12 = -4*m - 6*p + p, -p + b = 5*m. Suppose 0 = 4*u - m. What is the remainder when 2 is divided by u?
0
Let y be (-8)/(-32) - (-67)/4. Suppose 3*a - y = -0*a + c, 5*a - c - 31 = 0. What is the remainder when a is divided by 3?
1
Let u = -9 + 16. Let w(q) = -q**3 + 6*q**2 + 9*q - 10. Let j be w(u). Suppose 3*o = -j + 109. What is the remainder when o is divided by 18?
17
Suppose 0 = -2*y + 2*r + 2*r + 82, 5*y - 2*r - 213 = 0. What is the remainder when y is divided by 9?
7
Suppose 5*x + 92 = 4*w + 15, -x = -3*w + 66. What is the remainder when (65 - -1) + 5 + -3 is divided by w?
22
Let j = 138 - 129. What is the remainder when 44 is divided by j?
8
Let t(b) = -b + 20. Calculate the remainder when 86 is divided by t(-9).
28
Suppose 2*o + 2*o = 0. Suppose o = -3*c + v - 0*v + 11, 5*c - 11 = -2*v. Calculate the remainder when 3 is divided by c.
0
Let z = -6 + 40. Suppose c - y - 14 = -0*c, 3*y + 6 = c. Calculate the remainder when z is divided by c.
16
Suppose -2*q - 27 = -63. What is the remainder when q is divided by 5?
3
Let j = -3 + 7. Let n = 14 + -1. Calculate the remainder when n is divided by j.
1
Let s = 1 - -20. What is the remainder when s is divided by 8?
5
Let i be (-8)/(-12) + 55/3. Let o be -5 - 3*(-2)/(-3). Let a = i + o. What is the remainder when 22 is divided by a?
10
Suppose 2*f = -0*c - 3*c + 8, -2*c - 8 = -2*f. Suppose -x + 2 = f*b - 21, 0 = -3*x - b + 102. Calculate the remainder when x is divided by 19.
16
Let w = -20 + 47. Suppose 2*z = 3*z - w. Let m(a) = a**2 + 2*a - 5. What is the remainder when z is divided by m(-5)