 = 4*n + 16. Suppose -1 = -2*c + 59. Suppose 4*g - c = -g. What is the remainder when g is divided by n?
2
Suppose 44 - 5 = 3*p. Suppose 0 = 4*r + 29 + 27. Calculate the remainder when p is divided by r/(-3) - (-1)/3.
3
Suppose 1060 = 7*q - 2*q. Calculate the remainder when q is divided by 54.
50
Suppose -g + 144 = g. Suppose o - 63 - g = -3*a, -5*a = -o - 233. What is the remainder when a is divided by 16?
14
Let v(l) be the third derivative of 1/20*l**5 + 0 - 2*l**2 + 0*l - 1/12*l**4 + 1/3*l**3. Calculate the remainder when v(3) is divided by 8.
7
Suppose 0*z - 9 = -z. What is the remainder when z is divided by 6?
3
Let r be 6/2*8/6. Suppose 4*f + 14 = 5*s - 0*f, 5*s + 4*f = 6. Suppose l + l = s*w + 16, r*l + 4 = -5*w. What is the remainder when 7 is divided by l?
3
Let v = -11 - -11. Suppose v*i - b = -2*i + 47, 2*b - 104 = -5*i. What is the remainder when i is divided by -2*(4/2 - 6)?
6
Let f = 25 + -12. Suppose 0 = 2*s + 2*r - 56, -3*r = -3*s - 8 + 62. What is the remainder when s is divided by f?
10
Suppose 0 = 3*z - 4*n + 7 - 3, -z = 2*n - 12. Suppose z*l + 143 = 6*t - 3*t, -2*t = 5*l - 103. What is the remainder when t is divided by 17?
15
Suppose 7*j - 10 = 2*j. Suppose -2*f + 8 = j*f. Let i(l) = -l**3 + l - 1. What is the remainder when i(-2) is divided by f?
1
Let j = -1 + 4. Suppose 0 = j*l - 4*l - 15. Let u = 23 + l. What is the remainder when u is divided by 5?
3
Suppose 3*j = -y - 35, -2*y - 1 = -3. Calculate the remainder when 13 is divided by (-8)/j*(-12)/(-2).
1
Let a(u) = u**2 + u + 5. Let w be a(-5). Suppose -k = 5*o - w, k - o + 1 = 2. What is the remainder when 13 is divided by k?
3
Suppose -2*p = -76 + 48. Calculate the remainder when 30 is divided by p.
2
Let z = -32 + 45. Suppose -144 = 4*c + 3*i, 4*c + 144 = -0*c + 4*i. Calculate the remainder when c/(-1) - (0 + -2) is divided by z.
12
Suppose 0 = 4*k + m - 2459, -4*k + 4*m + 2453 = 3*m. Suppose 17*b - 483 = -6*b. What is the remainder when 2/(-5) - k/(-10) is divided by b?
19
Suppose -u + 0*u + 31 = 0. Suppose -5*j + 20 = -25. What is the remainder when u is divided by 3 + j + 1 - -4?
14
Let m(x) = 5*x + 3. Calculate the remainder when 71 is divided by m(3).
17
Suppose 2*x + 2*x + 5*m = 163, 3*x - 161 = 4*m. Let j = -34 + x. Suppose -15 = -5*v, 0*c - 70 = -2*c + 2*v. What is the remainder when c is divided by j?
12
Let v(c) = -c**3 + 6*c**2 - 2*c + 1. Calculate the remainder when 61 - (-1 - (-3)/3) is divided by v(5).
13
Let d be (-138)/4 - (-6)/(-12). What is the remainder when (-85)/d - (-4)/7 is divided by 1?
0
Suppose -5*o + 27 = 5*q - 283, 0 = o - 5*q - 68. Let w = 18 + -62. Let c = w + o. What is the remainder when c is divided by 7?
5
Suppose 0 = -2*x + a + 7, -x - 4 = -2*a - 0*a. Calculate the remainder when 16 is divided by x.
4
Let t = 227 - 207. What is the remainder when 72 is divided by t?
12
Let t = 46 - 32. What is the remainder when t is divided by 3?
2
Suppose y + 3*i = 22 - 1, 145 = 5*y - 5*i. What is the remainder when (-4)/(-18) - (-426)/y is divided by 6?
4
Calculate the remainder when 226 is divided by 1/2*(-38)/(-1).
17
Suppose 0 = h - 2*h - y + 17, -h - 2*y + 20 = 0. Calculate the remainder when 27 is divided by h.
13
Let m(a) = a**2 - 3. Let n = 1 - -4. Calculate the remainder when m(n) is divided by (-5)/(-10) + 5/(-2) + 10.
6
Suppose d + 12*v + 3 = 8*v, -v = 5*d - 61. What is the remainder when 113 is divided by d?
9
Let p = 1 + 3. Suppose 62 = p*y + 2*q, -2*y + 4*y - 37 = q. Let l(b) = -2*b - 3. What is the remainder when y is divided by l(-6)?
8
Let q = -102 - -57. Let t = q + 81. What is the remainder when t is divided by 13?
10
Suppose h - 3*h + 132 = 5*p, -8 = 2*h. Suppose -3 = 5*t - 43. What is the remainder when p is divided by t + 2 + 0/1?
8
Let t(n) = 4*n - 2*n + n**3 + 8*n**2 - 10 + 0*n**3 + 2. Suppose 5*a = -c + 132, 4*a - 4*c = -c + 117. What is the remainder when t(-6) is divided by a?
25
Let k be -2*(-3)/(-4 - -1). Let u be ((-4)/(-10))/(k/(-740)). Suppose 5*b - u = 17. Calculate the remainder when b is divided by 12.
9
Suppose -2*o + 0*i = -4*i - 2, 2*o = -5*i + 11. Suppose -67 = -4*r + a, -o*r + a + 34 = -3*a. What is the remainder when r is divided by 5?
3
Let i(f) = -f**3 + 4*f**2 + 12*f + 4. Calculate the remainder when 17 is divided by i(6).
1
Let w = -7 - -66. Calculate the remainder when w is divided by 12.
11
Suppose -86 = g - 5*q, 0 = -2*g - 0*q - 4*q - 102. Let d = g + 140. Calculate the remainder when d is divided by 16.
15
Suppose 0 = -4*t + 20, -19 = a - 2*a + 3*t. What is the remainder when a is divided by 18?
16
Suppose 2*i - 152 = -5*u, 5*i + 4*u - 235 = 2*i. What is the remainder when i is divided by 28?
25
Suppose -4*r + 0*r - 255 = -5*q, -q = 5*r - 80. What is the remainder when q is divided by 14?
13
Suppose -4*m - 4*h + 6 = -26, 5*m - 31 = -2*h. What is the remainder when 7/2*(m + -3) is divided by 3?
1
Calculate the remainder when ((-90)/(-25))/(3/20) is divided by 14.
10
Suppose -50 = 5*z + 3*f + f, 0 = -z - 4*f + 6. What is the remainder when (-7)/z - (-67)/2 is divided by 18?
16
Suppose -j - 4 = -4*a, -2*j + a - 7 = 1. Let r be -2*1*74/j. Suppose 3*m + 13 = r. What is the remainder when 22 is divided by m?
6
Let a(j) = -j**2 + 3*j. Let v be a(3). Suppose -3*h = -v*h - 111. What is the remainder when h is divided by (-1)/(-4) + 102/8?
11
Let l be 3/(-2)*(-24)/9. Suppose 0 = -l*p + 2*p - 38. Let f = 61 + p. Calculate the remainder when f is divided by 11.
9
Let f(j) = 9*j + 3. Let o be f(3). Let s = -56 + o. Let m = -11 - s. What is the remainder when m is divided by 8?
7
Let p(k) = -2*k**3 + 2*k**2 - 3*k - 3. Let n be p(-2). Let i = n + -10. Let u = -1 + 7. What is the remainder when i is divided by u?
5
Calculate the remainder when 20 is divided by 248/20 - (-2)/(-5).
8
Let k be 0 - 2 - (-1 - 8). Let z be (6/k)/((-2)/(-14)). Let g(h) = -h**3 + 5*h**2 + 7*h + 6. Calculate the remainder when 35 is divided by g(z).
11
Suppose 4*t - 15 = 3*t. Calculate the remainder when 2 + -2 + (-387)/(-9) is divided by t.
13
Let f = 44 - -11. Calculate the remainder when f is divided by 28.
27
Suppose -4*v = -4 - 20. Suppose 10 = l + z, l + 80 = v*l - z. What is the remainder when l is divided by ((-4)/3)/(3/(-18))?
7
Let c be (0 + -1)*-12*-1. Let o = 32 + c. Let a(n) = n**2 + 6*n + 7. What is the remainder when o is divided by a(-6)?
6
Let c(z) = -z + 6. Let l be c(8). Let k = 1 + l. Calculate the remainder when 22 is divided by (k/(-2))/(2/48).
10
Suppose -x - 1 = -5. Suppose -2 = 2*u - x*u, 3*h + 10 = -2*u. Calculate the remainder when ((-4)/h)/(1/18) is divided by 10.
8
Suppose 3*d = 11*d - 392. Calculate the remainder when 96 is divided by d.
47
Let l be 2/(-3) + (-44)/(-12). Suppose -n = -l*s - 28, 18 = n + s - 2*s. Calculate the remainder when 38 is divided by n.
12
Let a = -23 - -31. What is the remainder when 23 is divided by a?
7
Let o = -57 - -62. What is the remainder when 24 is divided by o?
4
Let c = 7 - -3. Calculate the remainder when (-2 - (-54)/(-15))*-5 is divided by c.
8
Suppose 3*m - 5 = 5*a, -a = 3*m - 5*a - 4. Suppose -r = -4*v + 65 + 98, -v - 2*r + 34 = m. What is the remainder when v is divided by 14?
12
Suppose -m + 1 = 0, -m + 143 = 3*h + m. Let a(q) = 5*q**3 + 3*q**2 + 3*q + 2. Let u be a(-2). Let f = h + u. What is the remainder when 29 is divided by f?
14
Suppose o = -4*o - 25. Let t = 15 + o. Calculate the remainder when t is divided by 4.
2
Let r = 0 + 8. Suppose r*k = 7*k. Suppose k = y - 5*y + 5*m + 68, y + 5*m + 8 = 0. What is the remainder when 46 is divided by y?
10
Suppose 4*x - 2*s - 96 = 0, x - 2*s = -0*x + 24. Let d = 10 - 1. Calculate the remainder when x is divided by d.
6
Suppose s - 18 = 3*s. Calculate the remainder when 8 is divided by 6/s + 34/6.
3
Let a(t) = -t - 3. Suppose 0*v + 4*v = 0. Let k = v - 7. Calculate the remainder when 6 is divided by a(k).
2
Let q = -32 + 103. Calculate the remainder when q is divided by 24.
23
Let o(t) = 6*t. Let w be o(3). Suppose 0*q + 2*q - 5*u = 18, -2*q = -4*u - 16. Suppose 2 - w = -q*h. Calculate the remainder when 10 is divided by h.
2
Let b be (9/(-6))/(1/2). What is the remainder when 19 is divided by 0 + b - 2*-7?
8
Let n be (-466)/14 - (-12)/42. Let v = -3 - n. Let x = v + -17. What is the remainder when 25 is divided by x?
