t g = 12 - u. What is the remainder when 3 is divided by g?
1
What is the remainder when 408/15 - (-1)/(-5) is divided by 6?
3
Suppose -y = -3*t + 196 + 233, -3*t - 4*y = -429. Suppose 0 = 5*x - t - 17. Calculate the remainder when x is divided by 7.
4
Let l be 14/(-56) + (-58)/(-8). Let c = 14 + l. What is the remainder when c is divided by ((-26)/(-2))/1 - 2?
10
Let s(y) = -y + 8. Let i be s(4). Suppose 4*a + 232 = i*l, 3*a = -0*l - l + 74. Suppose -x - 6 = -27. What is the remainder when l is divided by x?
20
Let h(v) = -v**3 + 5*v**2 - 4*v + 4. Let s be h(4). Suppose 0 = -s*a - 5*u + 58, 5*u - 30 = -2*a + 4. What is the remainder when a is divided by 5?
2
Let m be ((-102)/(-15))/((-5)/(-25)). Let c = m - 20. What is the remainder when 39 is divided by c?
11
Let a = 53 - 48. Calculate the remainder when 8 is divided by a.
3
Let m(c) = -2*c + 21. What is the remainder when 19 is divided by m(5)?
8
Suppose -1 + 6 = c. Suppose 0*q + c*q + 7 = -f, 5*f - 73 = 2*q. Calculate the remainder when f is divided by (-4)/7 + (-265)/(-35).
6
Suppose 4*i - 10 = 2*i. Calculate the remainder when 18 is divided by i.
3
Let v = -28 + 78. Suppose 0*m - 49 = -4*m + j, 4*m - 2*j = v. Calculate the remainder when 33 is divided by m.
9
Let t(j) = 4*j - 3. Let n(l) = l**3 + 3*l**2 - 5*l + 2. Let r be n(-4). What is the remainder when 40 is divided by t(r)?
19
Let f(d) = 6 - 4*d**2 - 3*d - 3*d**3 + 2 - 9. What is the remainder when 38 is divided by f(-2)?
12
Suppose 0 = -4*o - 4 + 72. Let k(p) = -p**2 - 8*p + 10. Let b be k(-9). Calculate the remainder when b + (-49)/(0 + -1) is divided by o.
16
Let a = 3 - 5. Calculate the remainder when -1*(a + 3) - -74 is divided by 25.
23
Let u(s) = s**2 + 3*s - 3. Suppose -47 + 497 = 5*x. Let k be ((-8)/10)/(12/x). What is the remainder when 28 is divided by u(k)?
13
Calculate the remainder when 2/6*342/2 is divided by 20.
17
Suppose -4*h - 5*j = -22 - 19, -5*j + 37 = 3*h. Let l be (-38)/4*(-8)/h. Suppose -1 = -r + l. Calculate the remainder when 58 is divided by r.
18
Suppose 4*p + 12 = 6*p. What is the remainder when 10 is divided by p?
4
Suppose -89 + 23 = -3*t. Calculate the remainder when t is divided by (-8)/(-2) + (-7 - -15).
10
Let o(d) = -2*d. Let a be o(4). Let s(n) = n + 9. Let h = -2 - -3. Calculate the remainder when s(a) is divided by h.
0
Let p be 4/(-10) + (-2394)/(-35). Suppose 0 = -3*n + 7*n - p. Calculate the remainder when n is divided by 8/(-2)*6/(-4).
5
Let w = 6 - -2. Calculate the remainder when 38 is divided by w.
6
Suppose -23 = -2*v + 25. Calculate the remainder when v is divided by 9.
6
Suppose -2*q + 15 = 3*y, 4*y - 2*y = 4*q - 6. What is the remainder when y is divided by 2?
1
Let v be (-2)/(-6) - (-83)/3. Let s be (-3 + 5)*(-2 - -4). Suppose s = -u - 3*g, -v = -u + 4*g + g. What is the remainder when 14 is divided by u?
6
Let s(m) be the first derivative of m**4/4 + 3*m**3 + 5*m**2/2 + 7*m + 1. Calculate the remainder when s(-8) is divided by 8.
7
Suppose -2 = 2*u - 0*u. Let d = u - -12. Suppose 2*i + 3*c = 2*c + 44, 3*i - c - 61 = 0. What is the remainder when i is divided by d?
10
Let b = 13 - 8. Suppose -11 = -b*t + 3*p + 59, 0 = 5*t - 5*p - 80. Let x(q) = -2*q**3 - 5*q**2 - 4*q. What is the remainder when x(-3) is divided by t?
10
Let b(p) = -3*p - 2. Suppose -11*v = -10*v - 7. Calculate the remainder when b(-5) is divided by v.
6
Let f(d) = -d + 11. Let y be f(8). Suppose -43 = -4*m + y*k + 5, 0 = 3*m - 5*k - 47. Let p = -5 + m. What is the remainder when 15 is divided by p?
3
Let d = -22 - -58. Calculate the remainder when d is divided by 13.
10
Let j(c) = -c**3 + 7*c**2 + 5*c - 6. Let o be j(7). Suppose -1 = -p + o. Calculate the remainder when p is divided by 16.
14
Suppose 9 = -4*h - 4*y - 3, 0 = -4*h - 3*y - 8. Suppose h + 14 = 3*m. Calculate the remainder when 14 is divided by m.
4
Let y = 63 - 30. Let u(g) = 5*g - 3. Suppose -i - 3 = -7. Calculate the remainder when y is divided by u(i).
16
Let x(i) = -i + 1. Let k(b) = 3*b - 1. Let j(n) = -3*k(n) - 7*x(n). Let c be j(-3). Calculate the remainder when (-22)/5*(-7 + c) is divided by 8.
6
Suppose -26 = -5*u + 29. What is the remainder when 30 is divided by u?
8
What is the remainder when 3 is divided by (-6)/(-15) - 13/(-5)?
0
Let n = 30 + -24. Calculate the remainder when 17 is divided by n.
5
Calculate the remainder when 36/48 + 121/4 is divided by 8.
7
Suppose 2*y - 6*y + 28 = 0. Calculate the remainder when y is divided by 2.
1
Let r(d) = d**2 - 4*d**2 + 2*d**2 - 1 - 6*d - 2*d. Calculate the remainder when 16 is divided by r(-7).
4
Suppose -9*b = -11*b + 18. Suppose -s + 3 = 0, -a + 54 = 2*a + s. Calculate the remainder when a is divided by b.
8
Let g = 16 - 10. Suppose f = -5*x + 36, -f - 8 - g = -5*x. Let m = -37 + 57. Calculate the remainder when m is divided by f.
9
Let j be (-1 - 1) + (-2)/2. Let v be (-14)/j + 3/9. Suppose 3*r + r = -2*g, r - 9 = -v*g. Calculate the remainder when 4 is divided by g.
0
What is the remainder when 56 is divided by (-2 + -6)/(5/(-10))?
8
Suppose -2*r + 4*k = -28, 3*r - 5*k = -r + 50. Suppose 5*a + 1 - 21 = 0, -8 = -4*w + a. Calculate the remainder when r is divided by w.
1
Suppose -2*j - 16 = -50. Suppose 2*x - 2*b = 20, 0*x = -4*x + 2*b + 38. What is the remainder when j is divided by x?
8
Suppose b + 6*o - 156 = 2*o, 5*o = 2*b - 338. Suppose 0*p + b = 2*p. Suppose 3*u + 0*u - p = y, 4*u - 4*y = 120. What is the remainder when u is divided by 9?
8
Calculate the remainder when (-4)/(-10) - 46/(-10) is divided by 8/6 + (-8)/(-12).
1
Let f(q) = q**3 - 12*q**2 + 16*q - 24. Calculate the remainder when 91 is divided by f(11).
29
Calculate the remainder when 273 is divided by 694/10 + (-14)/35.
66
Suppose 42 = 8*k - 6*k. Calculate the remainder when 41 is divided by k.
20
Let k(n) = -n**3 - 3*n**2 + 4*n - 3. Let v be k(-4). Let d = v + 10. Calculate the remainder when 19 is divided by d.
5
What is the remainder when 3/((-9)/78*-1) - 4 is divided by 9?
4
Suppose -12 = -11*y + 5*y. What is the remainder when 12 is divided by y?
0
Let s(d) = -d**3 + 6*d**2 - 4*d + 1. Let p(i) = i**2 - 2*i - 3. Let t be p(4). Let n be s(t). Let r = n - -12. Calculate the remainder when r is divided by 10.
8
Let g = -1 - 1. Let w(z) = -3*z - 3. Let x be w(g). Let n = x + 5. What is the remainder when n is divided by 5?
3
Suppose -39 = -2*i - 11. Let n = 20 - 67. Let m = -21 - n. Calculate the remainder when m is divided by i.
12
Let v = 32 + 2. What is the remainder when 66 is divided by v?
32
Let w = 37 - 29. Calculate the remainder when w is divided by 4.
0
Let k(d) = -3*d**2 + 42*d + 15. Calculate the remainder when 59 is divided by k(14).
14
Calculate the remainder when 17 is divided by 4/6 + (-50)/(-6).
8
Let b = 1 + 2. Calculate the remainder when b/6 - 49/(-2) is divided by 14.
11
Let z(t) = -t**3 + 12*t**2 - 5*t + 8. Suppose -3*k - 5*n + 18 = 0, -5*k + n = -4*n - 70. What is the remainder when z(k) is divided by 19?
17
Let l be (-10)/25 + (-12)/(-5). Suppose l*q - 3 + 21 = 0. What is the remainder when 11 is divided by 12/q*(-9)/2?
5
What is the remainder when 237 is divided by 2*(9 - (-3 + 2))?
17
Let i(m) = 2*m + m - m + 9 + 0. Let t(d) = -11*d. Calculate the remainder when i(6) is divided by t(-1).
10
Let r = -1 - -6. Suppose -k + 10 = k, 0 = 5*l - 3*k - 95. What is the remainder when l is divided by r?
2
Suppose 5 = b - 0. Suppose -3*n = b*k - 35, n = -5*k - 3*n + 30. What is the remainder when k is divided by 3?
1
Suppose 2*u + 3*u + 5*j - 185 = 0, 4*j = 4*u - 148. What is the remainder when u is divided by 19?
18
Suppose 4*s = 3 + 5. What is the remainder when 6 is divided by s?
0
Let f(p) = p**2 + 9*p + 8. Let x be f(14). Calculate the remainder when (1/(-3))/((-2)/x) is divided by 28.
27
Suppose 0 = 5*r - 4 - 6. Suppose -5*f = -r*l - 103, 4*f - l - 62 = 21. Calculate the remainder when f is divided by 6.
3
Suppose -5*c = 3*p - 593, 2*c + 3*p - 66 - 173 = 0. What is the remainder when c is divided by 30?
28
Let z(l) = l**2 - 12*l + 16. Let d be z(11). Suppose q = d*q - 108. Calculate the remainder when q is divided by 15.
12
Let c = 66 - 45. Calculate the remainder when c is divided by 12.
9
Let p = 4 + -1. Calculate the remainder when 18 is divided by 2/6*p - -6.
4
Suppose 0 = -4*h + 120 - 16. Calculate 