- 30. Calculate the remainder when v/(-4) - 799/(-34) is divided by 13.
11
Suppose -2*w - w + 12 = 0. Let q = -1 + 3. What is the remainder when 1 is divided by (-2*q/w)/(-1)?
0
Suppose 2*y = 3*b - 13, 0 = -4*b - 4*y + y + 6. Let c be (9 - 3)/b + 3. Let r = 4 + c. Calculate the remainder when r is divided by 6.
3
Suppose h - 2*q - 43 = -2*h, 69 = 4*h - 5*q. Let j(x) be the first derivative of 3*x**2/2 - 6*x - 1. What is the remainder when h is divided by j(4)?
5
Let k = 89 + -36. Suppose 2*a = -7 + k. Calculate the remainder when 68 is divided by a.
22
Let q be ((-4)/6)/(4/(-54)). Suppose -19 = -3*i + 4*s + q, 0 = -5*i - 3*s + 37. Let f = -8 + 23. What is the remainder when f is divided by i?
7
Let o be -2 + -1*(-12)/2. Suppose u = -o*u + 80. Suppose -4*g = -4*i, i - g - u = -4*i. Calculate the remainder when 11 is divided by i.
3
Let f = -80 + 122. Suppose -f + 187 = 5*q. Calculate the remainder when q is divided by 8.
5
Let b be (-1)/(3/(1 + -16)). Suppose -3*u + w = -b*u, -5*u + 4*w = 0. Suppose 3*j - 33 = -u. Calculate the remainder when 31 is divided by j.
9
Let c = 54 - -3. Suppose 60 = -2*p + 6*p. What is the remainder when c is divided by p?
12
Suppose s + 2*s - 186 = 0. Suppose 4*y = 5*w + 84, 4*w + 14 = y - 18. Calculate the remainder when s is divided by y.
14
Let f = -30 + -15. What is the remainder when 42 is divided by (-6)/24 - f/4?
9
Let b be 3/(-1) - (2 + -1). Let g = b + 6. What is the remainder when g is divided by 1?
0
Let y(v) = 2*v + 3. Let q be y(-4). Let o = -1 - q. Let c(i) = -4*i - 1. What is the remainder when c(-2) is divided by o?
3
Suppose 8*o + 68 = 4*o. Let q = -3 - o. Suppose 0 = -0*u - 5*u - 2*w + 133, -4*u + 2*w = -110. What is the remainder when u is divided by q?
13
Let o be 1006/6 - 2/(-6). Let s = 48 - 158. Let c = s + o. What is the remainder when c is divided by 20?
18
Let z(b) = -6*b + 6. Let g(y) = -y + 1. Let f(i) = 11*g(i) - 2*z(i). What is the remainder when 14 is divided by f(6)?
4
Let j(y) = y + 17. Let m(r) = r**3 + 4*r**2 - 2*r - 5. Let x be m(-4). Suppose -2*k + 45 = x*k. Calculate the remainder when j(0) is divided by k.
8
Calculate the remainder when (-33)/(-1 - 1/2) is divided by ((-9)/6)/((6/(-32))/1).
6
Let y(r) = r**2 + 4*r. Let c(f) = -2*f + 1. Let p be c(3). Let h be y(p). Let b = h + -4. What is the remainder when b is divided by 1?
0
Suppose 0 = -2*o + 195 - 3. Calculate the remainder when 75 is divided by o/5 - 6/30.
18
Suppose 0*u + 4*u = 76. Let v(p) = 18*p + 226. What is the remainder when u is divided by v(-12)?
9
Suppose 5*g + 0*g = 200. Let z be (4/(-5))/(5/(-25)). Suppose -4*p = -j + p - 1, -z*j - 5*p = -71. Calculate the remainder when g is divided by j.
12
Suppose l = 2*p - 98, -p + 53 = 4*l + 22. Calculate the remainder when p is divided by 7.
5
Let m = 144 - 129. Calculate the remainder when 104 is divided by m.
14
What is the remainder when 52 is divided by (3/2)/(39/364)?
10
Let b(l) = l**2 + 13*l - 7. What is the remainder when 29 is divided by b(-14)?
1
Suppose 6*t - 110 = t. Calculate the remainder when t is divided by 12.
10
Let m = 3 + -3. Suppose -42 - 35 = -4*v - 5*n, 4*n - 20 = m. Suppose 0*g + 20 = 4*g. What is the remainder when v is divided by g?
3
Suppose 0*x = x - 4. Calculate the remainder when 7 is divided by x.
3
Let v(a) = a. Suppose -d + 4*b + b = -23, -4*d + 35 = -b. What is the remainder when 15 is divided by v(d)?
7
Let v(t) = t - 2. Suppose 5*w + 8 = 5*y - 27, 0 = 4*y + 4*w - 20. Calculate the remainder when v(y) is divided by 3.
1
Let m = 87 - 48. Calculate the remainder when m is divided by 14.
11
Let u(x) = x**3 - 16*x**2 - 13*x - 14. Calculate the remainder when u(17) is divided by 14.
12
Let o = 74 + -32. What is the remainder when o is divided by ((-1)/((-2)/(-44)))/(2*-1)?
9
Suppose 0 = -2*m + m. Suppose 4*l + 5 - 1 = m. What is the remainder when (l/2)/(1/(-8)) is divided by 2?
0
Let z be (4/(-6))/((-8)/108). Let d = z - 0. Calculate the remainder when 6 is divided by (-16)/24*d/(-2).
0
Let v(f) = 3*f**3 - 6 + 3*f - 3*f**2 + 2 + 0*f**3. What is the remainder when v(3) is divided by 31?
28
Let b = 127 + -62. Calculate the remainder when b is divided by 22.
21
Let c(b) = -b**3 - 5*b**2 - 6*b - 4. Let s be c(-4). Suppose q - 132 = -s*t - q, 97 = 3*t + q. What is the remainder when 92 is divided by t?
30
Suppose -81 = -2*g - 5*c, 2*c = -g - 2*g + 116. Calculate the remainder when g is divided by 10.
8
Let y = -7 - -28. Let p = 41 - y. Let o(m) = 9*m + 4. Calculate the remainder when o(6) is divided by p.
18
Let q(j) = -2*j - j**3 + 96 + 2*j. Let k be q(0). Suppose 4 = 4*p - k. What is the remainder when p is divided by 9?
7
Let t(z) = z**3 - 1. Suppose -2*p + 8 = -0*g + 2*g, -p + 20 = -3*g. Let d = 4 + p. Calculate the remainder when d is divided by t(2).
5
Suppose -2*h = -28 - 0. Suppose 0 = c - 0*c - h. What is the remainder when 26 is divided by c?
12
What is the remainder when 2 is divided by 80/35 - (-4)/(-14)?
0
Let h(d) = -2*d**2 - 5*d - 4. Let k be h(-3). Let v = 123 + k. Suppose -3*s = s - v. Calculate the remainder when s is divided by 10.
9
Let h(p) = p**3 - 8*p**2 - 10*p - 8. What is the remainder when h(10) is divided by 48?
44
Let y be (68/10)/((-1)/(-10)). Let l = y - 41. What is the remainder when 51 is divided by l?
24
Let y(f) = 6*f - 3*f + 8 - 2*f + 0. Calculate the remainder when 15 is divided by y(0).
7
Suppose 2*t + 2*t - 92 = 0. What is the remainder when t is divided by 13?
10
Suppose y = -4*y. Suppose -5*z + 75 = -y*z. Suppose 2*r - 16 + 0 = 0. Calculate the remainder when z is divided by r.
7
Suppose l - 6*m = -m + 61, 0 = -l - 2*m + 47. Calculate the remainder when l is divided by 29.
22
Suppose 1 = 5*x + 16, 45 = r - 4*x. Calculate the remainder when 131 is divided by r.
32
Let z(r) = r**3 - 14*r**2 + 3*r - 30. Calculate the remainder when z(14) is divided by 4.
0
Suppose -5 = -4*u + 7. Suppose 2*q = -u*q + 35. Calculate the remainder when q is divided by 3.
1
Suppose -4*u = -0*u - 52. Calculate the remainder when 37 is divided by u.
11
Suppose 0 = -5*o + 33 + 17. Suppose -2*v + p = -p + 130, 5*v = -3*p - 301. Let f = v - -91. What is the remainder when f is divided by o?
9
Suppose -2*m = 3*i + 4, 2*i + 2*m + 16 = 5*i. Suppose -j = -3*r + 22, r + 22 = 6*r + i*j. Let x = 20 - 16. What is the remainder when r is divided by x?
2
Let d = 6 + -58. Let t = d - -87. Calculate the remainder when t is divided by 12.
11
Let j(d) = -d**2 + d + 3. Let y be j(0). Let o(m) = -2*m**y + 13 - 3*m + 4*m - 10*m**2 + m**3. What is the remainder when 9 is divided by o(-10)?
0
Let v = 25 - 13. Calculate the remainder when 35 is divided by v.
11
Let x = 13 - -20. Calculate the remainder when (4 + -1)/((-3)/(-129)) is divided by x.
30
Suppose 2*z - 6 = 20. Suppose 3*s + 3 - 18 = 0. Calculate the remainder when z is divided by s.
3
Let h = -46 + 75. Calculate the remainder when 54 is divided by h.
25
Suppose 0 = 2*g - 4 - 2. Let n = g + -2. Suppose 2*f + 3*c = n, 0 = -3*f + 3*c + 43 - 4. What is the remainder when f is divided by 5?
3
Suppose 2 = 4*r - 3*r. Suppose 3*p - 290 = 2*b, -5*b + 379 = r*p + 2*p. What is the remainder when p is divided by 33?
30
Let s = -28 + 38. Calculate the remainder when 18 is divided by s.
8
Let z = -26 + 11. Let p = z + 43. Calculate the remainder when p is divided by (1*3)/(3/15).
13
Let d(w) = -40*w**3 + w**2 + w. Let m(x) = -x**3 + 7*x**2 - 6*x - 6. What is the remainder when d(-1) is divided by m(5)?
12
Let w(q) = 6*q**3 - q**2. What is the remainder when 15 is divided by w(1)?
0
Let o be (0 - 5)*36/15. Let z = o - -25. Calculate the remainder when 37 is divided by z.
11
Let x = -28 + 47. What is the remainder when 73 is divided by x?
16
Let i = 3 - -8. What is the remainder when i is divided by 10?
1
Calculate the remainder when 32 is divided by 34/51*(-102)/(-4).
15
Let n be (-6)/12*(0 + 4). Let f be (n/6)/(3/(-27)). Suppose -y + 23 - f = 0. Calculate the remainder when y is divided by 11.
9
Suppose 0 = 2*w + 14 - 36. Calculate the remainder when 29 is divided by w.
7
Let w = -1 + 4. Let z be (3*5/45)/((-1)/3). Let x = z + w. Calculate the remainder when 7 is divided by x.
1
Let f(a) = -a**3 - 4*a**2 + 4*a - 1. What is the remainder when f(-6) is divided by 25?
22
Let i(p) = p**2 - 9*p - 14. Let s b