e the remainder when 13 is divided by f(7).
1
Let y = -57 + 174. Calculate the remainder when y is divided by 30.
27
Suppose -3*d = j - 13, -d - 28 = -5*d + 4*j. Calculate the remainder when 7 is divided by d.
2
Suppose p + 72 = 4*p. What is the remainder when 45 is divided by p?
21
Let t(s) = -s**3 + 3*s**2 + 3*s - 3. Suppose 4*d = 36 + 52. Calculate the remainder when d is divided by t(3).
4
Let n(u) = u**2 - 13*u + 11. Let d = 20 - -12. What is the remainder when d is divided by n(13)?
10
Suppose 195 - 34 = 7*f. Let u(k) = k**2 - 3*k - 2. Let z be u(3). Calculate the remainder when f is divided by (18/(-1))/(3/z).
11
Let i(l) = 3*l + 2. Let o(p) = -4*p + 5. Let a be o(4). Let w = a + 17. Calculate the remainder when i(w) is divided by 11.
9
Suppose s = -s + 3*l - 2, -5*s - 4*l + 41 = 0. Suppose 0 = s*y - 0*y - 15. Suppose 7*n - y*n = 16. Calculate the remainder when 6 is divided by n.
2
Suppose 4*w - 18 = -0*w + 3*o, -3*o = 4*w - 30. What is the remainder when w is divided by 5?
1
Suppose 3*h + 192 = 4*i + 59, 5*h = -4*i + 109. Let a = i - 14. Calculate the remainder when a is divided by 9.
8
Let x be (-6)/(-2) + (-30 - 3). Calculate the remainder when 10 is divided by 6/9 - x/9.
2
Suppose 0 = -3*y - 3*w + 15, y + 3*y = 5*w + 56. Suppose -3*l - l + y = b, 5*b - 27 = -2*l. Calculate the remainder when 8 is divided by b.
3
Let z = 29 + -14. Suppose -12 + 20 = 4*j. Calculate the remainder when (-69)/j*(-20)/z is divided by 12.
10
Let n(k) = k**3 - 12*k**2 - 14*k + 13. Let d be n(13). Suppose -3*s - 2*s + 2*y + 77 = d, y - 72 = -4*s. What is the remainder when 66 is divided by s?
15
Suppose -u = -5*i + 98, 0 = 5*i + 2*u - 23 - 66. Suppose 12*s + 21 = 81. Calculate the remainder when i is divided by s.
4
What is the remainder when 22 is divided by (24/(-14))/((-1)/7*2)?
4
Let g(q) = q**3 - 4*q**2 - q - 3. Let h be g(5). Let t = h + -7. What is the remainder when t is divided by (12/(-10))/((-3)/10)?
2
Let v(h) = 8*h**2 + 3 - 2*h**2 - 2*h - 2*h - 2*h - h**3. What is the remainder when 43 is divided by v(4)?
10
Let k(v) = -v + 3. Let i be k(3). Let w be 2 + 1 + i + 1. Suppose 3*a - 4*o = 52, -3*a + 4*a + 2*o = w. What is the remainder when a is divided by 7?
5
Suppose -2*h + 11 = -21. Calculate the remainder when 45 is divided by h.
13
Suppose d - 3*m = 22, -45 = 3*d + m - 161. Calculate the remainder when d is divided by 19.
18
Let q = -32 + 65. Calculate the remainder when q is divided by 1 + (3 - 0) + 8.
9
Suppose 9*p + 78 = 222. Calculate the remainder when 41 is divided by p.
9
Suppose 0 = h - 5*x - 24, 0*h - 2*h = 2*x. Calculate the remainder when h is divided by 2.
0
Let g = 16 - -14. What is the remainder when 57 is divided by g?
27
Let f = -28 + 14. Let p = -9 - f. Calculate the remainder when p is divided by 2.
1
Let d = 21 + -6. Suppose 4 = w - x, 3*w - 3 - d = 5*x. Let r = 3 + w. What is the remainder when 10 is divided by r?
2
Suppose -3*z + 57 = -3*f, -5*z + f + 2*f + 91 = 0. What is the remainder when 5/10 + (-65)/(-2) is divided by z?
16
Let a = -83 - -87. What is the remainder when 22 is divided by a?
2
Let f = 14 - 7. Suppose 4*a = 4*x + 5*a, 0 = 4*x - 5*a. Suppose -6*h + 2*h + 16 = x. Calculate the remainder when f is divided by h.
3
Let l = 20 + -13. Let j = l + -4. What is the remainder when 7 is divided by j?
1
Let w be (0 + 0)/(-3 - 0). Suppose a + w*a = 3. Suppose m + 37 = 3*u + 5*m, u = 4*m + 7. Calculate the remainder when u is divided by a.
2
Let q(h) = h**3 - 5*h**2 + 3*h - 5. Suppose j = -4*j. Let v = j + 5. Calculate the remainder when 28 is divided by q(v).
8
What is the remainder when 75 is divided by (1 - (-268)/22) + (-6)/33?
10
Suppose -37 = -3*y + 32. Let v(k) = -3*k**3 - k**2. Let u be v(-1). Suppose u*f + 8 = 3*f. Calculate the remainder when y is divided by f.
7
Suppose 66 = -b - 2*b. Suppose 136 = -2*h + 3*a, 6 = -2*a + 2. Let r = b - h. What is the remainder when r is divided by 17?
15
Suppose 2*j + 8 = -0*j. Let l be 2/j - 21/(-6). Let w(n) = -n**3 + 4*n**2 + 2*n - 4. Calculate the remainder when w(l) is divided by 4.
3
Suppose -8*t - 33 + 561 = 0. Calculate the remainder when t is divided by 23.
20
Let h = -22 - -46. Calculate the remainder when ((-7)/4)/(9/(-360)) is divided by h.
22
Let d(j) = j**2 + 10*j + 12. Let z = 30 - -4. What is the remainder when z is divided by d(-10)?
10
Let k = 50 + -12. What is the remainder when k is divided by 8?
6
Let o be 1 - (-14)/(-2) - 0. Let w(k) = -3*k - 4. Let f be w(o). Suppose 2*t + f = 6*a - 2*a, 2*t = -5*a + 22. What is the remainder when t is divided by 1?
0
Let k(d) = -d**3 - 9*d**2 - 7*d + 6. Let g be k(-8). What is the remainder when 24 is divided by (-2)/12*g*39?
11
Suppose -2*f + 48 = 2*f. Suppose -o - 2*m - 37 = 0, 4*m + 38 = 2*o + 144. Let w = o + 78. What is the remainder when w is divided by f?
9
Suppose 2*j - 7*j = -105. Calculate the remainder when 61 is divided by j.
19
What is the remainder when 37 is divided by ((-40)/7)/((-95)/(-35) - 3)?
17
Let u be (4/(-3))/((-14)/21). Suppose u*o + o = 51. What is the remainder when 32 is divided by o?
15
Let d(p) be the third derivative of 5*p**4/12 + p**3/3 - 4*p**2. Let j = -5 + 8. What is the remainder when d(j) is divided by 11?
10
Suppose -2*y - 6 = -2, 34 = 2*n - 4*y. Calculate the remainder when 88 is divided by n.
10
Let n(v) = v**3 - v - 1. Let f(y) = -2*y**3 + 3*y**2. Let w(z) = -f(z) - 4*n(z). Calculate the remainder when w(-3) is divided by 11.
8
Let n = -24 - -44. Calculate the remainder when 57 is divided by n.
17
Let y = 58 - 37. Calculate the remainder when y is divided by 11.
10
Suppose -4*r + 24 = -0*r. Suppose 3*i = -b - 3, 0*i + 2*b + r = 4*i. Suppose i = n + 2*n - 9. What is the remainder when n is divided by 3?
0
What is the remainder when ((-48)/4)/(-4) + 47 is divided by 13?
11
Suppose -5*o + o + 60 = 0. Suppose 0 = -3*m + 4*i - 119, -m = 3*i + i + 61. Let j = -17 - m. Calculate the remainder when j is divided by o.
13
Let p = 5 - 7. What is the remainder when -2 + (p - (1 - 17)) is divided by 7?
5
Let w = 12 + -5. What is the remainder when w is divided by 5?
2
Let t(l) = l**3 + l**2 - l - 6. Let d be t(0). Let o = 4 + d. Calculate the remainder when 4 is divided by (-1)/(1/1)*o.
0
Suppose 2*q - 22 = -0*q. Let t = q - 7. Suppose 8*l + 6*l = 70. What is the remainder when l is divided by t?
1
Calculate the remainder when 15 is divided by (4/3)/((-12)/(-54)).
3
Let f(j) = j - 11. Let v be f(7). Let h(z) = 5*z**2 - 3*z - 3. What is the remainder when h(v) is divided by 23?
20
Let a(k) = 3*k + 4. Let c be 13 - 1 - (-2 - -2). Suppose -3*w - 26 = -4*g + 3, 0 = -2*g + 4*w + c. What is the remainder when a(6) is divided by g?
6
Let g = -6 + 40. Calculate the remainder when g is divided by 7.
6
Suppose 15*s + 46 = 16*s. Let n = -32 + 57. What is the remainder when s is divided by n/2 + 4/(-8)?
10
Suppose -w = 4*o + 4*w + 4, 3*o - 4*w = 28. Suppose o*n + 4*v = 300, -4*n - 3*v + 300 = 2*v. What is the remainder when n is divided by 19?
18
Let l(a) be the first derivative of -a**4/4 + 5*a**3/3 - a**2/2 + 5*a - 2. Let r be l(5). What is the remainder when 25 is divided by -1 + r/1 - -8?
4
Suppose 4*o = 4*y - 136, 110 = 3*y - 3*o + 4*o. Calculate the remainder when y is divided by 19.
17
Suppose 5*j - j = 108. What is the remainder when (-2)/(2 + 316/(-156)) is divided by j?
24
Suppose 0 = -5*j - j + 180. Calculate the remainder when 116 is divided by j.
26
Suppose 5*r - 110 = 5*g, 3*r + 4*g = -0*r + 80. What is the remainder when 67 is divided by r?
19
Let m be ((-6)/(-2))/3 - -11. Suppose -4*k + m = -8. What is the remainder when k is divided by (-10)/(-4)*(-4)/(-5)?
1
Suppose -2 - 8 = -5*f. Let y be (f - -2)/(1/17). Suppose 0*v = -2*v + y. What is the remainder when v is divided by 12?
10
Let p = -10 + 11. Suppose 0 = -4*a - o - 6, 0 = a - 3*a - 2*o - 6. Calculate the remainder when p is divided by ((2 - 1)*a)/(-1).
0
Calculate the remainder when 102 is divided by (-10)/15*-36 + 2.
24
Suppose k - 29 = -5*v, 0 = v - 5*k + 4*k - 1. Calculate the remainder when (-2 + v)*104/6 is divided by 18.
16
Suppose -7*p = 6*p - 78. What is the remainder when 28 is divided by p?
4
Let y(c) = -3*c**2 + 2*c - 5*c - 1 + 4*c. Let d(r) = -r**2 - 1. Let v(b) = 2*d(b) - y(b). What is the remainder when 32 is di