n t is divided by 8.
5
Let c(l) = 3*l**2 + 2*l - 1. Let p be c(-2). Suppose -5*i - 86 = -p*i. What is the remainder when i is divided by 15?
13
Suppose -4*s + 4 = -40. Let j = s - 7. Calculate the remainder when (-15)/(2/((-8)/6)) is divided by j.
2
Suppose -j - 4*a - a + 25 = 0, -5*a = -5. Let t = -55 + 114. Calculate the remainder when t is divided by j.
19
Let z be (-214)/10 - (-14)/35. Let j = -14 - z. Calculate the remainder when 12 is divided by j.
5
Let b(p) = p**3 + 7*p**2 + 6*p + 2. Let k be b(-6). Suppose 123 = k*t + t. Let g = 49 - 35. Calculate the remainder when t is divided by g.
13
Let w(y) = -5*y**2 + 2*y - 3. Let k be w(2). Let c = 5 + k. What is the remainder when 23 is divided by 4/c + (-86)/(-7)?
11
Suppose -k = -3*u - 9 - 5, -3*k - 2*u + 64 = 0. What is the remainder when 58 is divided by k?
18
Suppose 4*d - 4*o = 32, 23 = 2*d + 4*o + o. Suppose -4*s - 6 = -3*q, 0 = 4*q + 3*s - 0 - 8. What is the remainder when d is divided by q?
1
Let q = 117 + -80. Suppose 0*g + 170 = 5*g. Let o = -21 + g. What is the remainder when q is divided by o?
11
Let g(x) = 5*x**3 + x**2 - 3*x + 2. Suppose 5*p = w + 6, -p + w + 4 = 2. What is the remainder when g(p) is divided by 4?
1
Let y(q) = -q**2 + 1. Let w be y(-1). Let b = w + 10. Let z = 27 + 1. Calculate the remainder when z is divided by b.
8
Let z = 14 + 20. Suppose -2*g = p - z - 3, 2*g + 158 = 4*p. Suppose 0 = 3*n - 6 - 36. Calculate the remainder when p is divided by n.
11
Let f(s) = s**2 - 7*s - 7. Let v = -7 - -13. Calculate the remainder when f(9) is divided by v.
5
Suppose 3 = -4*a - 5, -3*a + 44 = 2*l. Calculate the remainder when l is divided by 2 + 0 + -1 + 12.
12
Let a(l) = l**2 - 2*l - 2. What is the remainder when 85 is divided by a(-4)?
19
Let j = -3 + 5. Let o be 2/(-4)*j + 11. Suppose 0*w - w - 5 = -3*z, -4*z = -3*w + o. What is the remainder when w is divided by 4?
2
Let p(w) = w + 11. Let v be p(-8). Suppose -4*a - v*i + 119 = 2*i, -3*a + 5*i + 98 = 0. Let f = 3 + 8. Calculate the remainder when a is divided by f.
9
Suppose 3 = -y + 2*d, -5*y - 3*d - 1 = -25. What is the remainder when 5 is divided by y?
2
Suppose -2*y + 5*u = -88, 2*y = 2*u - 0*u + 76. What is the remainder when 99 is divided by y?
31
What is the remainder when (-1 + -1)/2 - -3 is divided by (-3*1)/3 - (-6 - -3)?
0
Calculate the remainder when 131 is divided by 70/4 - (5 + (-27)/6).
12
Suppose 9 = 3*j - 0*j. What is the remainder when 23 is divided by 2/2 - (-15)/j?
5
What is the remainder when 92 is divided by ((-376)/(-12))/1 + 2/3?
28
Let c be 166/6 - (-4)/(-6). Suppose -5*g - c = -167. Calculate the remainder when g is divided by 12 + 1/(1/3).
13
Suppose -r = -x - 19, -r + 0*x + 19 = x. Calculate the remainder when 35 is divided by r.
16
Let p be (-1)/(-4) - (-28)/16. Let z be 0 + 3/(9/24). Calculate the remainder when 20 is divided by (-11)/p*z/(-4).
9
Let z(p) be the second derivative of -p**4/12 + 11*p**3/6 - 15*p**2/2 - 7*p. What is the remainder when 62 is divided by z(7)?
10
Let x = 9 + 17. What is the remainder when x is divided by 9?
8
Suppose 26 = 16*n - 182. What is the remainder when 48 is divided by n?
9
Calculate the remainder when 19 is divided by 150/(-12)*(-4)/5.
9
What is the remainder when -3 + ((-65)/10)/(2/(-28)) is divided by 33?
22
Let a = 3 + 2. Suppose -4*g = 2*p + 14, -a*p - 3*g = g + 53. Let w = -1 - p. What is the remainder when 23 is divided by w?
11
Let u be (-1710)/(-14) - 6/42. Let n = u + -61. What is the remainder when n is divided by 16?
13
Let z(n) = -n**2 - 4*n. Let f be z(-3). Suppose f*d = -r + 55, 2*r + 3*d = -r + 195. Calculate the remainder when r is divided by 18.
16
Suppose -3*n - 5*q - 1 = -5, -n + 2*q + 5 = 0. Let j be 0/n + 10/2. Calculate the remainder when (-5)/(25/(-8))*j is divided by 3.
2
Suppose -j = 3*l - 5, -7*j + 4*j = -4*l + 11. What is the remainder when 5 is divided by l?
1
Suppose 4*a - 88 = n - 5*n, a + 74 = 3*n. Let i be (n - -1)*3/5. Let c = 4 + i. Calculate the remainder when c is divided by 7.
5
Let g(i) = i + 12. What is the remainder when g(0) is divided by 20/35 - (-135)/21?
5
Suppose -6 = -2*z - z. What is the remainder when 13 is divided by (-32)/(-6) - z/6?
3
Let d(v) = -2*v - 5. Calculate the remainder when d(-4) is divided by 2.
1
Let o = 27 - 19. Let s(g) = 4*g + 2. Calculate the remainder when s(o) is divided by 9.
7
Calculate the remainder when (-2)/8*228/(-3) is divided by 10.
9
Suppose -4*f + 9*f = 240. Let c be ((-1)/(-2))/((-2)/f). Calculate the remainder when (-543)/c + (-6)/(-8) is divided by 12.
10
Let i be 0/(1 - (-1 + 1)). Suppose -16 = -k - i*k. What is the remainder when (8/6)/((-2)/(-45)) is divided by k?
14
What is the remainder when 34 is divided by 22/3 - 2/6?
6
Let n = -154 - -243. What is the remainder when n is divided by 6?
5
Let n = 28 + -18. What is the remainder when n is divided by 3?
1
Suppose 2 = l - 3. Let f(r) = r**2 - 3. What is the remainder when f(4) is divided by l?
3
Let b = 86 + 45. Let z = b + -74. What is the remainder when z is divided by 15?
12
Suppose 4*h + 3*r = 284, 5*h + 2*r = 59 + 289. What is the remainder when h is divided by 24?
20
Suppose -3*q - g + 27 = -9, 2*g + 12 = q. What is the remainder when 30 is divided by q?
6
Let a = 19 + -2. What is the remainder when 50 is divided by a?
16
Let b(j) = 5*j + 6. Let c(l) = -11*l - 13. Let n(u) = 13*b(u) + 6*c(u). What is the remainder when 3 is divided by n(-3)?
0
Let o(j) = -10*j + 4. What is the remainder when o(-4) is divided by 23?
21
Let a = -15 + 20. Let l = -27 + 45. Calculate the remainder when l is divided by a.
3
Suppose 0 = -4*j + 2*q + 16, 14 = 5*j + q - 6. Suppose -2 = -2*r + c, -j*c + 6*c - 20 = -4*r. Calculate the remainder when 9 is divided by r.
0
Let v(k) = -2*k**2 + 18*k + 5. Calculate the remainder when 42 is divided by v(9).
2
Let j be (-56)/(-26) + (-10)/65. Suppose -z - j*z + 6 = 0. Calculate the remainder when 7 is divided by z.
1
Let d = 15 + 3. Let m be 2 - 7/(-2)*-2. Let f(n) = -n**2 - 8*n - 5. What is the remainder when d is divided by f(m)?
8
Let m(x) = 11*x - 4. Let n be m(-4). Let l = -20 - n. Suppose -4 + l = 2*h. Calculate the remainder when 22 is divided by h.
10
Let z be (-2)/5 + (-474)/(-10). Suppose 0 = 4*y + d - 48, 0*y + d - 60 = -5*y. What is the remainder when ((-1 + z)/(-1))/(-2) is divided by y?
11
Let m(g) = -12*g + 3. Calculate the remainder when 113 is divided by m(-3).
35
Calculate the remainder when ((-12)/(-4))/(4/136) is divided by 26.
24
Suppose 5*x = -2*i + 20, 2*x - 16 = 6*x. What is the remainder when 39 is divided by i?
19
Let i(u) = u**2 + u + 370. Let b be i(0). Suppose -6*o + o + b = 0. Calculate the remainder when o is divided by 19.
17
Suppose 595 = 3*a + 2*a. Let m = a + -28. What is the remainder when m is divided by 23?
22
Let c = -7 + 13. Suppose -y + 0*y = -17. What is the remainder when y is divided by c?
5
Let g = -5 - -5. Suppose g = 2*u + i - 45, 5*u - 5*i = 59 + 61. What is the remainder when 67 is divided by u?
21
Suppose 5*h - 1 - 4 = 0. Calculate the remainder when 1 + (-1 - -1 - -2) is divided by h.
0
What is the remainder when (-260)/30*(-3)/2 is divided by 8?
5
Suppose 0 = 2*j - 4*k - 16, -4*j + k = -0*k - 60. Let v(z) = z**3 - z**2 - 5*z + 3. What is the remainder when j is divided by v(3)?
4
Let u(j) be the third derivative of -7*j**4/24 + 2*j**3/3 - 4*j**2. Let f = -3 - 0. Calculate the remainder when u(f) is divided by 9.
7
Let m = -12 + 15. Suppose -m*z - 162 = -2*g, -g - 5*z = -0*g - 55. What is the remainder when g is divided by 26?
23
Let a(t) = -3*t - 3. What is the remainder when (4/(-6))/((-6)/783*3) is divided by a(-3)?
5
Suppose -2*y + 104 = -0*p - p, -3*p = 2*y - 104. Suppose 5*w - 35 = 30. Let s = 31 - w. Calculate the remainder when y is divided by s.
16
Suppose 2*z + 16 = 4*v + 2, 4*v = 3*z + 19. Suppose v = x - 6. Calculate the remainder when 4/6 - (-74)/6 is divided by x.
6
Suppose p + 19 = 6*p + k, 27 = 5*p + 3*k. Suppose p*n = 5*n + 3*j - 14, -4*n = 5*j - 30. What is the remainder when n is divided by 4?
2
Let y(i) = 7*i**2. Suppose h - 12 = -11. Suppose 0 = v - 4*n - 28, n + 5 - 3 = 0. What is the remainder when v is divided by y(h)?
6
Suppose -2 = -q + 3. Suppose -31 = -q*z + 2*w - 6*w, w = 5*z - 36. Calculate the remainder when 18 