4*r - 2*t, 3*r = -3*t + 45. What is the remainder when r is divided by 4?
0
Let w = 6 - 0. Suppose w*b - b - 70 = 0. Calculate the remainder when 26 is divided by b.
12
Let a(s) = s**2 + 16. Let t be a(0). Let u = 24 - t. Calculate the remainder when 15 is divided by u.
7
Suppose r - 254 = -4*y, 20*y - 5*r = 23*y - 182. Let w be 3/(-3)*(0 - 3). What is the remainder when y is divided by w*22*2/6?
20
Suppose -3*i + 102 = 3. Calculate the remainder when i is divided by 9.
6
Let t = 9 + -4. Suppose 0*g + 3*g = 2*c - 23, -2*c + 11 = g. What is the remainder when c is divided by t?
2
Let k = 196 + -114. What is the remainder when k is divided by 28?
26
Let i = 359 + -226. Calculate the remainder when i is divided by 34.
31
Let p(x) = 4*x**2 - 1. Let q = -64 - -76. Calculate the remainder when p(-3) is divided by q.
11
Let h(n) = 2*n**2 - 19*n - 12. What is the remainder when 81 is divided by h(11)?
18
Let v = 98 - 258. Let t = 225 + v. Let a = 165 + -148. What is the remainder when t is divided by a?
14
Suppose w = -1 + 2. Calculate the remainder when (-39)/(-15) - (-4)/10 is divided by w.
0
Suppose -281 + 37 = -4*v. What is the remainder when v is divided by 9?
7
Suppose 0 = 5*l - 20, -a + 16 + 2 = l. Calculate the remainder when 59 is divided by a.
3
Suppose -4*s + 3*s = 5*y - 39, 27 = y + 5*s. Let v(k) = -k**3 + 6*k**2 + 8*k + 4. What is the remainder when v(y) is divided by 7?
4
Let l = -23 - -23. Suppose l*r + 4*r = p + 198, 3*p = -5*r + 239. Calculate the remainder when r is divided by 17.
15
Suppose -2*l = -g + 13, -5*g - l - 3*l + 65 = 0. What is the remainder when g is divided by 3?
1
Suppose 0 = 3*m + 12, 5*f = 2*f + 5*m + 140. Suppose 5*d - 105 = -0*d. What is the remainder when f is divided by d?
19
Suppose -6*j = 5*g - j + 10, 5*g - 2*j - 18 = 0. Suppose 2 + 4 = g*r. What is the remainder when (0 + 3)/r + 16 is divided by 9?
8
Suppose -b = -0*b - 2. Suppose 0 = 4*p, p = 4*a - b*p - 44. Suppose -z + 5*i + 26 = 0, -2*i + 15 = -4*z + 47. What is the remainder when a is divided by z?
5
Let u = 40 + 116. What is the remainder when u is divided by 32?
28
Let n = 54 + -50. Calculate the remainder when 5 is divided by n.
1
Let j = 1 + -2. Calculate the remainder when ((-38)/(-5))/(j/(-5)) is divided by 20/(3/(-12) + (-15)/(-12)).
18
Let z(t) be the second derivative of -t**4/12 + 2*t**3 + 6*t**2 - 2*t. Calculate the remainder when 45 is divided by z(12).
9
Let m = -4 + 4. Suppose c - 1 - 1 = m. Suppose 0 = -c*v - 2*b + 10, 4*v - 3*b = -v + 1. What is the remainder when 5 is divided by v?
1
Let m(i) = -2*i**3 - 11*i**2 - 2*i + 9. What is the remainder when m(-6) is divided by 16?
9
Let a = 184 + -82. Calculate the remainder when a is divided by 35.
32
What is the remainder when 2 - -1*(2 + 21) is divided by 9?
7
Let b(q) = q**3 + 11*q**2 + 10*q + 10. What is the remainder when 35 is divided by b(-10)?
5
Suppose 0 = 3*j - q - 476, 780 = 2*j + 3*j - 5*q. Suppose j = u + 3*u. What is the remainder when u is divided by 14?
12
Suppose 3*f - 44 = 124. Let m(n) = n**3 + 6*n**2 - 6*n + 3. Let x be m(-6). Let j = x - 20. Calculate the remainder when f is divided by j.
18
Let g = 60 + -6. Calculate the remainder when g is divided by 28.
26
Let b be (5/(-5))/(3/(-24)). Let z be (1 + -3)/((-3)/3). Suppose b = z*m - 54. What is the remainder when m is divided by 11?
9
Suppose 0 = 2*x + 33 - 191. Calculate the remainder when x is divided by 10.
9
Suppose 13 = -5*i + 2*y, -3*i - 2*y = -3 - 2. Calculate the remainder when 51 is divided by 18/2*(3 + i).
15
Suppose -12*y = -16*y + 444. Calculate the remainder when y is divided by 28.
27
What is the remainder when 2 - ((-240)/1)/2 is divided by 31?
29
What is the remainder when (-3)/(-15) + 264/5 is divided by 14?
11
Suppose 2*v = -2*o - 2, -3*o + 15 - 2 = -v. Suppose -f = -o*g - 2, 5*f = 4*g - 2*g + 49. What is the remainder when 20 is divided by f?
9
Suppose -27 = -3*w + 30. Let k(y) = -y - 2. Let h be k(-4). Suppose -p + h = -5. Calculate the remainder when w is divided by p.
5
Let a(q) = 15*q**2 + q - 1. Let r be a(1). Suppose 12*n = 11*n + r. What is the remainder when n is divided by 9?
6
Let z(c) = -4*c**3 + 2*c**2 - 3*c - 3. Calculate the remainder when z(-2) is divided by 11.
10
Let h(s) = -s**3 - 7*s**2. Let x be h(-7). Suppose x*d - 2*d + 128 = 0. Suppose r + d = 3*r. Calculate the remainder when r is divided by 17.
15
Let z(s) be the third derivative of s**5/12 + s**4/24 - 2*s**2. Suppose i + i - 10 = 0. What is the remainder when z(-2) is divided by i?
3
Let b be ((-3)/(-3) - -2) + 0. Suppose 5*a - 4 = b*a. Calculate the remainder when 4 is divided by a.
0
Let q = 105 + -40. Suppose 4*i = 5*i - 33. Calculate the remainder when q is divided by i.
32
Suppose -4*f - 28 = -2*q, 0 = 3*q + 4*f + f + 2. Suppose -3*p + n = 8, -2*p - 3*p - 3*n = 18. What is the remainder when (p - -10)*(q - -1) is divided by 13?
10
Suppose 58 - 12 = v. Let j = 68 - v. Suppose 3*o - j = 35. What is the remainder when o is divided by 10?
9
Suppose f = 5*j + 75, -2*j = 5*f - 5*j - 265. Calculate the remainder when f is divided by 13.
11
Let i(s) = s**2 + 6*s + 13. Let j(w) = -w**2 - w + 7. Suppose 0*a = -2*a. Calculate the remainder when i(-6) is divided by j(a).
6
Suppose -v - 5*y = -26, 3*v - 4*y = -2*y + 10. Calculate the remainder when 21 is divided by 12*(3 + v/(-3)).
9
What is the remainder when 9 is divided by ((-1)/(1/4))/(-2)?
1
Let b(n) = 7*n + 1. Let k be b(9). Suppose 14 = 4*r + 2*t - k, 5*r - 99 = -2*t. Let a = r + 1. What is the remainder when a is divided by 8?
6
Suppose a - 7 + 2 = 0. Suppose -a*x = -2*x - 543. Suppose 56 - x = -5*y. What is the remainder when y is divided by 9?
7
Suppose 5*h = 2*x + 240 - 95, 0 = 4*h + 4*x - 144. What is the remainder when h is divided by 12?
7
Let h be 2/(-3) - 42/(-9). Let b be 2/2 - (3 - h). Suppose b*k + 3 = -r + 9, 3*k + 26 = r. What is the remainder when 41 is divided by r?
13
Suppose -4*t = -5*t + 29. Calculate the remainder when t is divided by 10.
9
Let u = 310 - 185. Calculate the remainder when u is divided by 18.
17
Suppose -o + 4 = 4*v, o + 2 = -v + 3. Suppose -t + 1 = -v. Suppose -4*z + 76 = -t*z. Calculate the remainder when z is divided by 13.
12
Let b(l) = 3*l - 7. What is the remainder when 77 is divided by b(9)?
17
Let f(h) = -h**2 + h + 0*h + 3*h - 8 + 15. Calculate the remainder when f(5) is divided by (-4)/(-5) + (-3)/(-15).
0
Suppose f - 3 = 3*x - 47, -4*x + 2*f + 60 = 0. Suppose -4*c = 2*j + 16, -25 + 5 = 4*j + 4*c. What is the remainder when 243/6 + 1/j is divided by x?
12
Let n(c) = c**3 + c**2 + 1. Let f(z) = -z**2 - 2*z + 2. Let w be f(0). Calculate the remainder when 51 - (0 - 0 - -1) is divided by n(w).
11
Suppose 4*j = 5*z - 33 - 75, -4*j = -12. Suppose -281 + 93 = -2*s. What is the remainder when s is divided by z?
22
Suppose z + 6 = -4*u - z, 4*z + 1 = 3*u. Let c = u + -1. What is the remainder when 7 is divided by c/((15/(-6))/5)?
3
Let n be 2/(-5) - 3/5. Let c = 13 + n. Calculate the remainder when 1/(-3) + 70/3 is divided by c.
11
Suppose -2*h = -5*h + 6. Suppose 2*a - d = 29, -5*a - h*d = -6*d - 65. Calculate the remainder when 32 is divided by a.
15
Let q(k) = -k**2 + 4*k + 3. Let i be q(4). Suppose 0*x + 150 = i*x. Suppose -3*n = -8*n + x. What is the remainder when n is divided by 4?
2
Suppose 4*k - 3*p = 402, -3*p + 300 = 3*k - 6*p. What is the remainder when k is divided by 26?
24
Suppose 121 = 5*b - 19. Calculate the remainder when 55 is divided by b.
27
Suppose 4*u - 44 = 2*u. What is the remainder when u is divided by 8?
6
Suppose -z = -h - 36, -5*h + 107 = 4*z - 2*z. What is the remainder when 79 is divided by z?
38
Suppose 6 = 2*r - 80. What is the remainder when r is divided by 9?
7
Suppose -v - 112 = -5*v. Let h = v - 17. Suppose -2*d + 5*t - 3 + 5 = 0, 3*t = -d + 12. What is the remainder when h is divided by d?
5
Let t = 206 + -195. Let m(o) = o**2 + o - 2. What is the remainder when m(5) is divided by t?
6
Suppose 8*j = 4*j. Suppose j = 6*b - 9*b + 15. What is the remainder when b is divided by 2?
1
Let z(k) = k**2 - 6*k + 12. Let a = 2 - 0. Suppose -3*o = -4*r - 5*o + 30, -a*r = -o - 13. What is the remainder when r is divided by z(2)?
3
Let p(x) = -4*x**2 - 25*x - 1. What is the remainder when 46 is divided by p(-5)?
22
