culate the remainder when x is divided by c.
12
Suppose 3*u - 4 = p - 2, 4*p - 3*u = 19. Calculate the remainder when p is divided by 3.
1
Suppose 3*g = 2*o - 78, 5*g - 3 = 3*o - 120. Calculate the remainder when 114 is divided by o.
36
Let t be 94/10 + (-18)/(-30). Let i = t + -6. Calculate the remainder when 10 is divided by i.
2
Let u = -5 + 59. Suppose 5*l = 5*p + 75, -1 = -3*p - 13. Calculate the remainder when u is divided by l.
10
Let x be (-4)/10 + (-48)/(-20). Calculate the remainder when x/(-9) + (-344)/(-9) is divided by 10.
8
Let f be 2 + (-2)/((-6)/9). Suppose f*s - 87 = 2*s. What is the remainder when s is divided by (-2)/(-3) - (-66)/9?
5
Let h = -6 - -9. Suppose -9 = -h*v + 18. Calculate the remainder when 24 is divided by v.
6
Let y(g) = -5*g**3 + 3*g**2 - 5*g - 14. Let i(u) = -6*u**3 + 2*u**2 - 6*u - 15. Let r(z) = 4*i(z) - 5*y(z). Calculate the remainder when r(7) is divided by 10.
7
Suppose 0*o + 200 = 5*o. Suppose 5*a - 24 = a. Calculate the remainder when o is divided by (105/6)/5*a.
19
Suppose -3*s - 4 = -4*s. Suppose 0*k = s*k - 40. Let z = 18 - k. Calculate the remainder when 22 is divided by z.
6
Let g = 43 + -12. Suppose -b + 34 = h, 2*b - 5*h = -h + 38. Suppose 5*i + b = 109. What is the remainder when g is divided by i?
15
Suppose 4*b + g - 42 = -8, 0 = -3*b - 5*g + 17. What is the remainder when b is divided by 4?
1
Suppose 80 = -2*y + 4*y. What is the remainder when y is divided by 21?
19
Let y = 18 - 10. Suppose -l - 4*p + 48 = 3*l, -3*p - 20 = -l. Calculate the remainder when l is divided by y.
6
Suppose -2*v - 5*r = v + 1, 4*v = 4*r - 12. What is the remainder when 30 is divided by -2 - -2 - (-13 - v)?
8
Let g = 28 - 24. Suppose -2*z - g*x + 60 + 4 = 0, 5*x = -5. Calculate the remainder when z is divided by 18.
16
Let y(g) = -g**3 - 3*g**2 - 4*g - 2. Let i be y(-4). Let x = i + -10. Calculate the remainder when (0 + -5)*(-16)/x is divided by 3.
1
Suppose 3*v - 159 = -4*c + 4*v, 0 = -5*v - 15. What is the remainder when c is divided by 16?
7
Suppose 2*j - 9*q = -4*q - 11, 4*j - 3*q = 13. Calculate the remainder when 17 is divided by j.
3
What is the remainder when 1 - -83 - (-13 - -15) is divided by 28?
26
Let a = 39 + -4. Calculate the remainder when a is divided by (-94)/(-8) + (-1)/(-4).
11
Suppose 10*j + 5*s = 5*j + 695, 139 = j - s. Suppose -7*i - 25 = -12*i. Suppose 0 = -5*c, 2*k - i*c = -33 + j. Calculate the remainder when k is divided by 18.
17
Let c = -49 - -57. Calculate the remainder when 39 is divided by c.
7
What is the remainder when 47 is divided by 4/(-14) + 1239/49?
22
What is the remainder when (-1)/(2*(-2)/100) is divided by 14?
11
Let o(n) = -n + 3. What is the remainder when 7 is divided by o(-1)?
3
Let q = 14 - 12. What is the remainder when q is divided by 2?
0
Suppose 5*n - r - 37 = 29, 36 = 2*n + 2*r. What is the remainder when (39/4)/(2/8) is divided by n?
11
Let t(g) = -2*g**3 - 6*g**2 + 5*g + 1. What is the remainder when 21 is divided by t(-4)?
8
Let l(b) = 4*b**2 + 4*b. Calculate the remainder when l(-3) is divided by 13.
11
Let k(l) = l - 4*l + 49 + 2*l. What is the remainder when k(0) is divided by 17?
15
Let b = -179 + 206. What is the remainder when b is divided by 1 - (-14 - (-1 + 1))?
12
Let m(c) = -c + 2. Suppose -4*v + 2*w = -95 - 39, 20 = v - 5*w. What is the remainder when v is divided by m(-7)?
8
Let i(j) = j**2 - 3*j + 5. What is the remainder when i(-12) is divided by 31?
30
Let x(q) = q**2 + q - 2. Calculate the remainder when x(7) is divided by 14.
12
Calculate the remainder when (16/3)/((-1)/(-12)) is divided by 13.
12
Let p(j) = j**2 - j. Let n(t) = 0*t - 2*t + t. Calculate the remainder when n(-3) is divided by p(2).
1
Suppose z = -0*z - 13. Let l(s) = 5*s**2 + 2*s - 2. What is the remainder when l(-3) is divided by (-5 + 4)*z*1?
11
Let b(t) = -13*t. Let v be b(-1). Suppose -v*x = -11*x - 44. What is the remainder when x is divided by 8?
6
Let i = -22 + 42. What is the remainder when 77 is divided by i?
17
Let z = 58 - -10. Calculate the remainder when z is divided by 18.
14
Suppose -3*c - 5 = 5*x - 6*c, 2*x + 3*c = 19. Suppose 3*q = 3*d - 0*q - 144, 0 = x*d + q - 81. What is the remainder when d is divided by 15?
13
Let c(w) = w**2 - 2*w + 4. Let i = 0 + 3. Calculate the remainder when 13 is divided by c(i).
6
Let p be (2 - 8)*1/(-2). Suppose 28 = p*o - 4*s, -o = -5*o - s + 31. Calculate the remainder when 23 is divided by o.
7
Suppose 4*k = 3*s - 67, 31 = 7*s - 4*s + 5*k. What is the remainder when s is divided by 5?
2
Suppose 4*l - r - 19 = 0, 4*r + 3 = 4*l - 1. Calculate the remainder when 15 is divided by l.
3
Suppose 44 = 5*b - 16. Calculate the remainder when 33 is divided by b.
9
Let d = -17 - -45. Calculate the remainder when 138 is divided by d.
26
Suppose 2*y - 21 = 5*y. Let f(z) = -z**2 - 5*z + 8. Let n be f(y). Let w(s) = -4*s - 7. What is the remainder when 49 is divided by w(n)?
15
Calculate the remainder when 38 is divided by 4*15*(-4)/(-12).
18
Let d be 87/9 + (-4)/6. Let z = -70 - -109. Calculate the remainder when 11 is divided by -3*(3 - z/d).
3
Let i = -9 + 1. Let z = 16 + i. Let t(m) = m**2 - 13*m + 33. What is the remainder when z is divided by t(10)?
2
Let g(a) = a**2 + 2*a - 4. Let p be g(3). Let n(r) = -r**2 + 12*r - 5. Calculate the remainder when n(p) is divided by 4.
2
Let x = -14 - -14. Suppose -215 = -x*d - 5*d. What is the remainder when d is divided by 15?
13
Let a = 94 - 81. What is the remainder when 44 is divided by a?
5
Let p(u) = -6*u + 3. Let c be p(-3). What is the remainder when (2 + 1)*98/c is divided by 88/12 + (-4)/(-6)?
6
Let p = 106 - 67. What is the remainder when p is divided by 11?
6
Let z = -2 - -14. Suppose 0 = -v - j + 6, 0 = -5*v - 0*v + 4*j + z. Suppose -3*h + 59 = 4*s, 9*s - v*s = -h + 38. What is the remainder when h is divided by 4?
1
Calculate the remainder when 59 is divided by (-19 - -29)/(0 + 1).
9
Suppose 3*i - 48 = 9. Calculate the remainder when 74 is divided by i.
17
Suppose 0 = 4*k - 7*k. Suppose k = -7*h + 48 + 29. Calculate the remainder when 20 is divided by h.
9
Let f(o) = 2*o - 9. Calculate the remainder when f(13) is divided by 4.
1
Suppose 5*d = -5*j + 40, -3*d - 3*j = -2*j - 30. Let v = 8 - 5. Suppose -v*l - 8 = -5*l. What is the remainder when d is divided by l?
3
Let u = 216 + -119. What is the remainder when u is divided by 25?
22
Suppose -2*d = 4 + 12. What is the remainder when 1 - -2 - 1*d is divided by 5?
1
Let s = 22 + -14. Let v(k) be the second derivative of k**5/20 - 2*k**4/3 + k**3/6 + 3*k**2 - 2*k. Calculate the remainder when 27 is divided by v(s).
13
Suppose -32 = 4*f - 4*a, 2*f + 3*a = -0*f - 1. Let z be (0 - -1) + 1*f. Let v(p) = p**2 + p - 2. What is the remainder when 28 is divided by v(z)?
8
Let r = 122 + -115. Calculate the remainder when 27 is divided by r.
6
Let k = 103 - 89. Calculate the remainder when 25 is divided by k.
11
Let i(h) = -5*h. Let v = -11 + 10. Let q = 8 - v. Calculate the remainder when i(-3) is divided by q.
6
Let z be (3 - 2)/(-1) - 0. Let l(u) = u**2. Let o(m) = -47*m**2 + m + 1. Let a(x) = 5*l(x) - o(x). Calculate the remainder when a(z) is divided by 18.
16
Let c(a) = -a**3 + 6*a**2 - a. Let f = -6 + 11. Suppose 0 = -4*p + 3*p + z + 6, 3*p = -z + 38. What is the remainder when c(f) is divided by p?
9
What is the remainder when 6/9*258/4 is divided by 11?
10
Let s = -13 - -63. Calculate the remainder when s is divided by 14.
8
Let y(k) = 6*k - 2. Let n be 2*(15/(-2))/(-5). Calculate the remainder when y(n) is divided by 1 - (-8)/1*1.
7
Let q = 41 - 6. Let f = -57 - -86. Let o = f - 17. What is the remainder when q is divided by o?
11
Suppose 6 = 2*n + 2. Let f(q) = q**2 + 2*q + 2. What is the remainder when (-2)/(-4)*n*7 is divided by f(-2)?
1
Suppose -y - 143 = -4*z, y = z - y - 34. What is the remainder when 141 is divided by z?
33
Suppose -5*x + 0*x = -5. Suppose 5*f = 21 - x. Let a(j) = j**2 + j + 4. What is the remainder when a(-3) is divided by f?
2
Let g = 70 + -36. Calculate the remainder when g is divided by 7.
6
Let k = 2 + 2. Suppose 0 = -6*f + k*f + 6. Suppose -2*q = f*q - 95. Calculate the remainder when q is divided by 10.
9
Let s = 8 - 15. Let w = s - -16. What is the remainder when 25 is divided by w?
7
Suppose -4*i = -2*t - 