 30. What is the remainder when l is divided by 10?
7
Let s = 10 - 5. Let b = s - -8. Suppose 0 = 4*t + 5*q - 27, -4 = -t - q - 3*q. What is the remainder when b is divided by t?
5
Let p = 9 - 0. Suppose -4*n + 33 = 9. Calculate the remainder when p is divided by n.
3
What is the remainder when 35 is divided by ((-22)/(-4) - 4)*8?
11
Suppose -4*o + 87 = 3*k, 0 = -5*k + o + o + 145. What is the remainder when k is divided by (-40)/(8/(-4)) + -4?
13
Suppose 5*x = -5 + 50. Calculate the remainder when 23 is divided by x.
5
Suppose 4*b - 5*q + 4*q - 26 = 0, 4*b = -2*q + 32. What is the remainder when (-48)/(-2) + 1 + 1 is divided by b?
5
Let a(g) = g**3 - 6*g**2 - 2*g + 3. Let z be a(6). What is the remainder when 13 is divided by 4/12 - 33/z?
1
Let b(v) = 53*v**2 + 2*v. Suppose -3*y + 26 = -2*y. Suppose 4*f - 4*a = y + 46, 5*f - a - 94 = 0. What is the remainder when b(1) is divided by f?
17
Suppose 0 = -3*m - m + 3*u + 60, 0 = m + 5*u + 8. What is the remainder when m is divided by (-20)/(-110) - 75/(-11)?
5
Let a = 172 + -119. Let h = -29 + a. Suppose h = -z + 4*z. Calculate the remainder when z is divided by 3.
2
Let d(m) = -3*m + 5. Suppose -5*w + 3*w + 24 = 0. Calculate the remainder when d(-5) is divided by w.
8
Let l(j) = -j + 41. Let o = -4 + 4. What is the remainder when l(o) is divided by 14?
13
Let s(q) be the second derivative of -q**3/3 - 4*q. Calculate the remainder when 27 is divided by s(-5).
7
Let a(m) = 6*m - 16. Suppose 145 + 45 = 5*o. What is the remainder when o is divided by a(6)?
18
Suppose -2*j = -2, 0 = -3*z + 6*j - 5*j + 77. What is the remainder when z is divided by 10 + -14 - (2 + -1 - 14)?
8
Suppose -2 - 6 = 4*h. Calculate the remainder when 53 is divided by (8/6)/(h/(-21)).
11
Let c(n) = -n**2 + 9*n + 4. Let b be c(8). Let p = b + 11. What is the remainder when p is divided by 6?
5
Let o(r) = -r**2 + 3*r + 2. Let s be o(2). Suppose 185 = s*p - 43. Calculate the remainder when p is divided by 20.
17
Let w = -25 - -39. What is the remainder when w is divided by 9?
5
Let w = -30 + 48. Suppose -83 - 76 = -3*a. Calculate the remainder when a is divided by w.
17
Let g(t) = -t**2 + 3*t + 4. Let r be g(8). Let p = r - -60. Calculate the remainder when 94 is divided by p.
22
Suppose p = -5*d + 341, 0*d - 5*p - 267 = -4*d. Calculate the remainder when d is divided by 18.
14
Let v(b) be the first derivative of 5*b**3/3 + b + 9. What is the remainder when v(-2) is divided by 12?
9
Suppose 0 = -6*s + s + 3*z + 163, 0 = z + 1. Let c = s + -19. What is the remainder when c is divided by 7?
6
Let v(q) = 4*q - 1. Let t(l) = -2*l - 18. Suppose -2*f = -f + 14. Calculate the remainder when v(5) is divided by t(f).
9
Let o = 5 + 0. What is the remainder when 4/16 + (-268)/(-16) is divided by o?
2
Suppose 0 = g - 3*g + 90. Calculate the remainder when g is divided by (-290)/(-25) - (-6)/15.
9
Suppose -4*t = -0*t + 2*w - 6, -2*t = -3*w - 7. Suppose -5 = p - t*p. Calculate the remainder when p is divided by 3.
2
Calculate the remainder when 41 - 0/(6*(-1)/(-2)) is divided by 11.
8
Calculate the remainder when ((-39)/(-15) - 3)*-120 is divided by 13.
9
Suppose -652 = -5*s + 683. What is the remainder when s is divided by 30?
27
What is the remainder when -1 + (-26)/(-22) - 10980/(-110) is divided by 17?
15
Suppose 0 = -2*c + 3*n + 12 + 15, 2*n = 2. What is the remainder when 27 is divided by c?
12
Let x = 4 - 3. Let a(t) = 5*t**3 + 1. What is the remainder when (-63)/(-4) - (-1)/4 is divided by a(x)?
4
Suppose 18 - 74 = -4*p. Suppose 0*r = -r + 32. Suppose r = -t + 5*t. What is the remainder when p is divided by t?
6
Let h = 65 - 54. Calculate the remainder when h is divided by 5.
1
Let z = -1 + 4. Let b = 4 - 2. Calculate the remainder when 9 is divided by 1*(b - z/(-1)).
4
Suppose -7*y + y + 60 = 0. Suppose -1 = r + 19. Let t = r + 49. Calculate the remainder when t is divided by y.
9
Suppose -4*a - 5*o = -2*a - 40, 2*a - 36 = -3*o. What is the remainder when 24 is divided by a?
9
Let r(g) = -g**2 - 3*g + 8. Let t be r(-6). Let i = t - -18. Suppose 12 = i*l - 4*l + 4*j, -4*l + 4*j + 36 = 0. Calculate the remainder when 16 is divided by l.
4
Calculate the remainder when 51 is divided by -1 - -1 - (0 - 9).
6
Suppose 3*v + 12 = 0, -v - 14 = -2*c + 4*v. Let x = 8 + c. Suppose -2*o + 122 = x*t - 53, -4*o - 20 = 0. Calculate the remainder when t is divided by 13.
11
Suppose 0 = 3*m - 0*m - 12. Suppose 0 = m*j - 19 + 3. Suppose -j*x = x - 5. What is the remainder when 1 is divided by x?
0
Suppose -y - 9 = -4. Let l(c) = -c**3 - 5*c**2 - c + 10. Let w(q) = q**3 + 4*q**2 + 2*q + 1. Calculate the remainder when l(y) is divided by w(-3).
3
Let r be (12/(-10))/((-5)/(-25)). Suppose -3*g - i - 2 = 0, 5*i = -7 + 27. Calculate the remainder when g/r + 95/3 is divided by 17.
15
Suppose -4*l - 8 = -2*s, s + l - 6 = 2*l. What is the remainder when 30 is divided by s?
6
Let p(y) = -y**3 - y**2 + 12*y + 6. Calculate the remainder when p(-5) is divided by 16.
14
Suppose 0 = 4*g - 29 + 1. Suppose -2*a + g + 5 = 0. Suppose 5*x = -4*f, 5*x - 6 = -2*f + 4. What is the remainder when a is divided by x?
2
Let d(n) = -13*n + 9. What is the remainder when d(-10) is divided by 35?
34
Let h(b) = -b**2 - 12*b - 11. Suppose 0 = -2*n - o - 5 - 6, 3*o = 3*n + 12. What is the remainder when h(n) is divided by 13?
11
Let d = 1 + 4. Let i be (2 - 0 - 1)*2. Let y = i - 0. Calculate the remainder when d is divided by y.
1
Suppose 7*d + 104 = 3*d. Let j = -18 - d. What is the remainder when 22 is divided by j?
6
Let p(i) = 4*i + 1. Let c = -8 + 11. Let l(q) = 2*q**2 - 2*q - 2. What is the remainder when p(7) is divided by l(c)?
9
Let v(f) = 4 - f - f**2 + 0 - 6 + 3*f**2. What is the remainder when v(4) is divided by 14?
12
Let r = -25 + 28. Let d(a) = 3*a - 3. What is the remainder when d(r) is divided by 4?
2
Suppose -6*a = -5*a - 10. Suppose -5*o + 10 = -5*x - 15, 5*x = 2*o - a. Calculate the remainder when 7 is divided by o.
2
Let i(z) = 1 + z**2 - 3*z**2 + 3*z**2 + 1 - z. Let m be i(-5). Suppose -m = -4*l + 36. What is the remainder when 48 is divided by l?
14
Let i = 10 + -4. Suppose -b = -i*b + 75. Calculate the remainder when 43 is divided by b.
13
Let z(r) = r**2 - 6*r + 3. Calculate the remainder when (-24 - -3)*(-18)/21 is divided by z(7).
8
Let c = 126 - 109. Calculate the remainder when 116 is divided by c.
14
Suppose 0 = -5*y + 17 - 47. What is the remainder when ((-9)/y)/((-1)/(-14)) is divided by 6?
3
What is the remainder when 42 + (-5)/(10/6) is divided by 20?
19
Suppose y = -3*y + 336. What is the remainder when -3 + y + 2 + -4 is divided by 20?
19
Suppose 2*p + 3 = m - 7, -3*m - 4*p = 20. Suppose m = -c + 7 + 8. What is the remainder when c is divided by 4?
3
Suppose 2*h = -h + 30. Let i(q) = -14*q**2 + 2*q + 2. Let x be i(-2). Let d = 86 + x. What is the remainder when d is divided by h?
8
Suppose -63 = 3*a + 5*b, 1 = -4*a + 3*a + 5*b. Let o = 23 + a. Calculate the remainder when 32 is divided by o.
4
What is the remainder when 31 is divided by (4/12)/((-4)/(-216))?
13
Let j be (0 + 2)*51/3. Suppose 4*z = -2*w + 36, w + w + 5*z = j. Suppose 0 = -2*b + 25 - 1. What is the remainder when w is divided by b?
10
Suppose -2*m + 5*m + y - 7 = 0, -5*y - 13 = -m. Suppose -35 = -0*k - 4*k - m*o, -4*k + 34 = 2*o. Calculate the remainder when 2 + (1 + 0)*13 is divided by k.
7
Let x(p) = p**2 - 8*p + 9. Calculate the remainder when x(8) is divided by 3.
0
Suppose 0 = 102*c - 107*c + 150. Suppose -2*y - 24 = -5*y. Calculate the remainder when c is divided by y.
6
Suppose 4*a + 4*o - 188 = 0, 4*o = -4*a + 5*a - 47. Calculate the remainder when a is divided by 25.
22
Suppose 0*n = -n - 5*c + 62, -133 = -4*n + 3*c. What is the remainder when n is divided by (-13)/(-1) - (0 - 0)?
11
Let g(f) = -45*f**3 - 2*f**2 - 2*f - 1. Let j be g(-1). Let d = j - 31. Let h(y) = y**3 - y**2 - 3*y + 2. What is the remainder when h(4) is divided by d?
12
Let a(d) = d**3 + 2*d**2 + 25. Calculate the remainder when 44 is divided by a(0).
19
Let d = 38 - 5. What is the remainder when d is divided by 17?
16
Let c = 1 + 25. Suppose 2*m - f - 3 = 4*f, -3*m - 4*f = -16. Suppose 0 = -m*w + 3*w + 14. Calculate the remainder when c is divided by w.
12
Suppose 0 = -5*w + 3*g + 136, 5*g + 25 - 93 = -3