 Calculate the remainder when i is divided by 2.
1
Let w(f) = -f**2 - 34*f - 54. What is the remainder when 113 is divided by w(-31)?
35
Let f be (100/(-30))/(2/(-3)). Suppose 2*p + 12 = f*p, 0 = 4*n + 3*p - 36. Calculate the remainder when 16 is divided by n.
4
Let b(r) = 3*r**2 + 3*r - 1. Let u(f) = f**3 + 4*f**2 + 2*f - 1. Let o be u(-2). Let g = 6 - o. Calculate the remainder when b(g) is divided by 12.
11
Suppose -y + 22 = y - 4*m, -3*y = 5*m - 22. Suppose -115 = -4*w + 21. What is the remainder when w is divided by y?
7
Let b be 1 - 4/(-6)*-9. Let l = b - -9. Suppose -2*u - 33 = -5*u. Calculate the remainder when u is divided by l.
3
Let v(f) = 2*f - 6. Let m be v(7). Let q = m - 4. What is the remainder when 10 is divided by q?
2
Suppose -4*v - 306 = -5*m, v = m - v - 66. Let f = -23 + m. Calculate the remainder when f is divided by 9.
8
Let v be (3 + -3 - -3) + 212. Suppose -2*x = 5*g - v, 0*x + 3*x = 5*g + 310. Calculate the remainder when x is divided by 27.
24
Suppose 3*f + 10 = c, 4*f + 1 = -c + 4. Let o(m) = m**2 - 6*m - 5. Let b be o(7). What is the remainder when (0 + -1)/b*-38 is divided by c?
5
Let g(q) = -q**2 - 7*q + 6. Let f be g(-6). Calculate the remainder when 466/f - 2/(-12) is divided by 14.
11
Suppose 0 = 2*j + 2*g - 70, -g - 5 = -2*g. What is the remainder when j is divided by -20*(-2 - 8/(-5))?
6
Suppose 0 = -2*a + a + 8. What is the remainder when 27 is divided by a?
3
Let p(q) = 3*q + 66. What is the remainder when 6 is divided by p(-21)?
0
Let x be 6/(3/96*4). Let n = x + -28. What is the remainder when 59 is divided by n?
19
Let q(s) = 2*s + 2. Let i(f) = -f - 1. Let c(o) = 7*i(o) + 4*q(o). Let k be c(7). Let h(g) = 3*g - 12. What is the remainder when 23 is divided by h(k)?
11
Suppose -3*q + 10 = 2*q. Suppose 3*v - 20 = -5*p, -5*p - 24 = -2*v - 3*p. Calculate the remainder when (-8)/(-5) + v/25 is divided by q.
0
Let m = -9 - -20. Let q = -45 + 65. Calculate the remainder when q is divided by m.
9
Let u = -70 + 122. What is the remainder when u is divided by (-6)/21 - 128/(-7)?
16
Suppose 2*r = -4*g + 42, 3*g - r = -2*r + 33. Suppose -3*x - g = -75. What is the remainder when x is divided by 6?
3
Let y = 4 + -2. Suppose 3*t - 19 = y*m, -44 + 0 = -4*t - 2*m. Let a(n) = -n**3 + 5*n**2 + n + 5. What is the remainder when a(4) is divided by t?
7
Suppose c - 4 = 2. Calculate the remainder when c is divided by 3.
0
Let r(d) = d - 5. Suppose -4*b + 0 = 3*o - 9, 0 = 3*o - 5*b - 36. What is the remainder when r(o) is divided by 1?
0
Let k be ((-3)/2)/(3/4). What is the remainder when (1 + k)/(4/(-116)) is divided by (36/24)/((-3)/(-20))?
9
Calculate the remainder when 1/(-5) + (-580)/(-25) is divided by 6.
5
Suppose 4*y = 12, -5*z + 0*y - y + 88 = 0. Let r be 3 + 4/((-8)/(-4)). Suppose r*n - 161 = -1. Calculate the remainder when n is divided by z.
15
Suppose -d = -4*u + 48, -2*u + 6*d + 38 = 2*d. What is the remainder when 31 is divided by u?
9
Suppose 2*q - 2*l = -278, 0 = -3*q + 5*q + 2*l + 258. Let x = q - -193. Calculate the remainder when x is divided by 20.
19
Let u = 24 + -14. Let l(w) = w**2 + 4*w - 1. What is the remainder when u is divided by l(-5)?
2
Let i = 39 - 9. Let q = i + -5. Calculate the remainder when q is divided by 14.
11
Let o = 46 + -3. Let s(f) = 0*f + 13*f**2 - 2*f - 2 - 6*f**2. What is the remainder when o is divided by s(2)?
21
Suppose 7*y + 141 = 10*y. Calculate the remainder when 185 is divided by y.
44
Let b be (-69)/(-15) + 6/(-10). Let t(w) = -b*w + 5 - w - 8 - w. What is the remainder when 43 is divided by t(-3)?
13
What is the remainder when 50 is divided by (-9)/(2/(-8) + 30/(-40))?
5
Suppose 3*d - 57 = -4*c, d - 6*c - 19 = -c. Let u = -6 + 42. What is the remainder when u is divided by d?
17
Let f = -33 + 69. Suppose -z + 18 = -5*o, 5*z + o + o - f = 0. What is the remainder when 22 is divided by z?
6
Let g(r) = 5*r**2 - 2*r + 1. Let w be g(1). Suppose -w*h + 0*h = -40. Calculate the remainder when 17 is divided by h.
7
Let a(x) = -x**3 + 15*x**2 - 12*x - 5. Calculate the remainder when 43 is divided by a(14).
20
Let d = -6 - -4. Let w = 9 + d. What is the remainder when w is divided by 3?
1
Suppose -2*r + 9 = 1. What is the remainder when r/10 + (-129)/(-15) is divided by (0 - 1 - 1) + 6?
1
Let v = 35 + -5. Let o = -21 + v. Calculate the remainder when 35 is divided by o.
8
Let m = -19 + 29. What is the remainder when 67 is divided by m?
7
Suppose 380 = 2*u + 2*u. What is the remainder when u is divided by 24?
23
Suppose a - 3*p + 3 = -8*p, 2*a - 5*p = 9. Suppose -2*c + 3 = -3*r, 2*c - 3*c = -3*r. Calculate the remainder when c is divided by a.
1
Suppose -3*r = -5*r - 14. Let c(l) = 4*l - 3*l + 0 - 5*l - 2. Calculate the remainder when 76 is divided by c(r).
24
Let p = 0 + 1. Let f = p + 0. Calculate the remainder when (f - -3)*(-11)/(-4) is divided by 6.
5
Suppose 0 = -v + 2*v + 5. Let m be 0 - (-3)/((-3)/v). Let d(c) = 5*c - 3. Calculate the remainder when d(m) is divided by 8.
6
Let k(x) = x**3 + 6*x**2 - 4*x - 2. Let s be k(-4). Let z = -30 + s. Calculate the remainder when 47 is divided by z.
15
Let f(r) = -r**3 + 8*r**2 + 14*r - 15. Let z be f(10). What is the remainder when 8 is divided by z/(-10)*2/3?
3
Let u(j) = j**2 + j. Let i(v) = v**2 + 7*v + 3. Let r(d) = i(d) + u(d). Let f = 15 - 21. What is the remainder when 79 is divided by r(f)?
25
Let z(l) = 2*l**3 - 5*l**2 + 3*l - 2. Suppose 5*a - a - 12 = 0. Let s be z(a). Let t = s + -9. What is the remainder when 12 is divided by t?
5
Let w(r) = 6*r**2 + 53*r + 1. Suppose 3*k = k + 78. Calculate the remainder when k is divided by w(-9).
9
Calculate the remainder when ((-198)/(-4))/((-3)/(-6)) is divided by 25.
24
Suppose -3*t + 17 = -4. Let a(p) = -p + 5. Calculate the remainder when a(-6) is divided by t.
4
Suppose -5*c = t + 102, -4*t + 13 = 2*c + 43. Let a = 67 + c. Let l = -28 + a. What is the remainder when 53 is divided by l?
17
Suppose -8 = -2*p + 2. Suppose -p*f - 5*x = -90, 20 = x + 3*x. What is the remainder when f is divided by 7?
6
Let l(x) = 5*x - 15. Let n be l(9). Suppose 2*m - 5*o = 22, 14 = 4*m + 2*o - n. What is the remainder when m is divided by 7?
4
Let g be 69 - (3 + -2 + 0). Let x = g - 48. What is the remainder when 58 is divided by x?
18
Let x(z) = z**2 - 5*z + 3. Let i be x(3). Let a be 2 - 1*(-4 + i). Suppose -n - a = -4*n. Calculate the remainder when n is divided by 2.
1
Let q(z) = 2*z + 9. Suppose -3*o = 2*o. Calculate the remainder when 32 is divided by q(o).
5
Let i = -9 + 6. Let o = i + 8. Suppose 4*d + 4*q = 70 + 22, o*q = -25. Calculate the remainder when d is divided by 15.
13
Suppose -5 = -3*i - 4*w + 1, 2*i - 3*w = 4. Let k = 10 + -15. What is the remainder when (-25)/k - (0 + 0) is divided by i?
1
Suppose -2*w + 14 + 10 = 0. Let r(l) = -13*l - 3. Calculate the remainder when r(-2) is divided by w.
11
Let s = -74 + 106. Let q = -110 + 157. Let u = q - s. What is the remainder when u is divided by 8?
7
Let m(x) = -x**2 - 24*x + 5. What is the remainder when m(-13) is divided by 25?
23
Let x = -25 - -34. Calculate the remainder when 70 is divided by x.
7
Suppose 0 = 5*f - 10 - 5. Let b(r) be the third derivative of r**6/120 - r**5/60 - r**4/8 + r**3/2 - 3*r**2. What is the remainder when 22 is divided by b(f)?
10
Suppose -3*t - 556 = -4*g, 3*g = 3*t + 169 + 248. Calculate the remainder when g is divided by 20.
19
Let x = -16 - -20. Suppose x*v = 5*v - 4*h - 43, 39 = v - 3*h. Suppose 15 = 2*t - 3*u, -16 = -4*t + 2*u + 34. What is the remainder when v is divided by t?
12
Let w(m) be the first derivative of 2*m**3/3 + m**2 + 3*m - 6. Let i(h) = 2*h + 1. Let q be i(1). Calculate the remainder when w(q) is divided by 14.
13
Suppose 0*l + 55 = 5*k + 2*l, 4*k - 11 = 5*l. Calculate the remainder when k is divided by 4.
1
Let f(r) = r**3 - 16*r**2 + 15*r + 1. Suppose -1 = -p + 1. Suppose 0 = -k + p*t + 1, -3*t + 1 = k - 2*t. What is the remainder when k is divided by f(15)?
0
Suppose 0 = -0*b - 4*b + 204. Let p be 15/9 - 2/(-6). Calculate the remainder when b is divided by 13/p*(7 + -5).
12
Suppose -3*o - 6 + 30 = 0. Calculate the remainder when 37 is divided by o.
5
Let h(r) = -r + 10. Let w be h(5). Suppose 0 = -w*t + 37 + 23. What is the remainder when t is divided by 7?
5
Let y(u) = 2*u**2 