 What is the remainder when 18 is divided by y?
8
Suppose 2*w - 7*w + 56 = 3*p, 4*p = -2*w + 98. Calculate the remainder when 78 is divided by p.
24
Suppose -6*g - 3*w + 143 = -g, -19 = -g - 3*w. Calculate the remainder when g is divided by 13.
5
Suppose 3*t = 5*o - 7 - 18, -3*o = -t - 19. What is the remainder when o is divided by 2?
0
Let d(p) = 4*p**2 - 6*p - 7. Calculate the remainder when 53 is divided by d(3).
9
Let m = 42 + -19. Let n = -75 + 33. Let v = 3 - n. Calculate the remainder when v is divided by m.
22
Suppose -4*f - 5*t + 12 + 11 = 0, f + 10 = 4*t. Suppose f*a + 2 = 10. Let h(b) = 2*b**2 - 7*b + 5. Calculate the remainder when 17 is divided by h(a).
8
Let r(i) = i**2 + 8*i + 10. What is the remainder when 8 is divided by r(-7)?
2
Let x(k) = k**3 + 2*k**2 - 5*k + 5. Calculate the remainder when 21 is divided by x(2).
10
Suppose 2*i - 58 = -w, -5*w + w + 148 = 5*i. What is the remainder when i is divided by 10?
8
Suppose 4*b = 3*r - 62, -7*r = -2*r + 3*b - 84. Calculate the remainder when r is divided by 10.
8
Let b = 5 - 2. Suppose -2*o + 0*o = -b*q + 2, 3*q + 5 = -5*o. Calculate the remainder when 7 is divided by q - (-2 + 1 + -2).
1
Suppose -3*l = 5*a - 41, 9*l - 14*l = 4*a - 90. What is the remainder when 65 is divided by l?
21
Suppose 0 = 5*w, -2*h + 2*w = 11 - 37. Let y(x) = -3*x - 2*x + 0 + 3 + 2. Calculate the remainder when y(-4) is divided by h.
12
Let n(p) = p**2 + 5*p + 2. Let v be n(-5). Suppose v*i - 109 = i. Suppose -2*j + i = 3*m, 3*j - 5*m = -17 + 209. What is the remainder when j is divided by 20?
19
Let o = 21 + -43. What is the remainder when 18 is divided by ((-20)/3)/(o/33)?
8
Let a(f) = 8*f. Let d be a(-1). Let p = d - -14. Suppose -2*n = -p*n + 32. Calculate the remainder when 14 is divided by n.
6
Let z(v) = -2*v**2 - 8*v - 3. Let t be z(-10). Calculate the remainder when 32 is divided by t/(-11) - 6/33.
10
Let p = -8 - -17. Let w(v) = v**2 - 3*v + 10. Let k = -19 - -41. Calculate the remainder when w(p) is divided by k.
20
Let m be (-1)/(-1*2/52). Let j = 36 - m. Suppose -25 = 5*a, 0 = b - 5*b - 5*a + 91. What is the remainder when b is divided by j?
9
Suppose 22 = 5*k + 7. Suppose -5*p + 3*q + 394 - 98 = 0, 0 = -k*p + 2*q + 177. What is the remainder when p is divided by 16?
13
Let f be 4/12 - 38/(-3). Suppose -x = -5 - f. Let k(c) = -2*c**2 + 12*c. What is the remainder when x is divided by k(5)?
8
Let m(v) = v - 1. What is the remainder when m(5) is divided by 2?
0
Suppose 5 = 5*j - 5. Suppose 5*p = -g + 86, -3*g + 2*g + 35 = j*p. Suppose 4*z = -0*z + 196. Calculate the remainder when z is divided by p.
15
Suppose -3*b + u = -3*u - 47, -2*u - 49 = -3*b. Let f be 30/8 + 5/20. Suppose 0 = f*r - 3*r - 66. What is the remainder when r is divided by b?
15
Suppose 95 + 97 = l. Suppose 27 + 84 = 3*k. What is the remainder when k is divided by (-2)/3 - l/(-18)?
7
Let j = 5 - 4. Let k be -1 + 0 - -31*j. What is the remainder when 2 - (0 - (-1 + k)) is divided by 11?
9
Calculate the remainder when 35 is divided by (-162)/(-45)*(-30)/(-9).
11
Let n(j) = j**2 + 2*j - 3. Let q = 20 - 12. Suppose 4*c + q = 2*c. What is the remainder when n(c) is divided by 2?
1
Suppose 0 = 3*z - 8*z + 20. Let j = -3 - z. Let v(o) = o**3 + 8*o**2 + 4*o + 1. Calculate the remainder when v(j) is divided by 8.
6
Suppose 60 = 3*c - 3*p, -c + 3*p - 7*p + 30 = 0. Let t = c + -37. Let i = 0 - t. What is the remainder when 43 is divided by i?
13
Suppose 3*i + 3*l - 33 = 0, 0 = -4*l - 2 + 10. Calculate the remainder when 32 is divided by i.
5
Let s = 37 + -16. Calculate the remainder when s is divided by 8.
5
Let j(h) = 19 - 17 + 4*h + h**2 + 0*h**2. Calculate the remainder when j(-6) is divided by 6.
2
Let l = 8 + -5. Suppose -44 = -4*f - 5*o, -f - 5*o = l + 1. What is the remainder when 30 is divided by f?
14
Suppose -5*b - 244 = -5*l + 2*l, -2*b - l - 102 = 0. Let n = b + 71. Calculate the remainder when 40 is divided by n.
19
Let t(a) = -a**2 - 16*a + 10. Let q(w) = w**3 + 9*w**2 + 11*w + 4. What is the remainder when t(-8) is divided by q(-7)?
24
Let l(y) = -y**3 - 4*y**2 + 3*y - 6. What is the remainder when (-6)/(-15) + 66/10 is divided by l(-5)?
3
Suppose -6*n - 76 = -10*n. Calculate the remainder when ((-75)/12)/(8/(-96)) is divided by n.
18
Suppose 0 = -4*s - 0*s + 60. Calculate the remainder when 74 is divided by s.
14
Suppose 13 = h - 0*j + 2*j, -2*j + 10 = 0. Suppose l + 10 = 4*c, h*c + c + 30 = 5*l. Calculate the remainder when l is divided by 6.
4
Let n = 7 - -5. What is the remainder when 21 is divided by n?
9
Let g = 55 + 5. Let x be (2 - 1) + 0 + g. Suppose -5*y = 16 - x. What is the remainder when y is divided by 5?
4
Let w(f) = 13*f - 36. Suppose 0*p - 112 = -2*p. Calculate the remainder when p is divided by w(5).
27
Let d = 3 - 5. Let q be d*(2*-1 - 2). Calculate the remainder when 7 is divided by -5*(-5)/(50/q).
3
Let b = 91 + -77. What is the remainder when 27 is divided by b?
13
Let f(n) = -n**3 - 8*n**2 + 8. Let w be f(-6). Let i = -5 - w. Calculate the remainder when i is divided by 20.
19
Let g be (-46)/14 - 12/(-42). Let h = 12 + -7. Calculate the remainder when h is divided by 8/(-12) + (-8)/g.
1
Let s(y) = y + 24. Calculate the remainder when 47 is divided by s(-11).
8
Let p be (-21)/27 + 4/(-18). Suppose 8 + 24 = 4*x. Calculate the remainder when (46/6)/p*-3 is divided by x.
7
Suppose 3*x + 5*f = -18, -3*f = -0*f + 9. Let l be (-1)/(x + 0)*9. Let h = l - 6. Calculate the remainder when h is divided by 2.
1
Let y = -11 + 40. Let r = -12 + y. Let m = 0 - -50. Calculate the remainder when m is divided by r.
16
Suppose 19*r - 15*r = 48. Calculate the remainder when 46 is divided by r.
10
Let j = -19 + 54. What is the remainder when j is divided by 20?
15
Let b = 2 - -4. Let j(h) be the third derivative of -h**4/24 + 2*h**3/3 + 2*h**2. Calculate the remainder when j(-6) is divided by b.
4
Suppose 4*h - 128 = -z, -h + 46 = 5*z + 14. Suppose 4*g = -4*p - h, -4*g = g. Let f = 16 + p. Calculate the remainder when 13 is divided by f.
5
Calculate the remainder when (4/6 - 49/(-3))*3 is divided by 27.
24
Let b be 4/(-14) + 48/(-28). Let u(g) = -2*g + 1. Let w be u(b). Suppose -v - a = -4*a + 9, 20 = w*a. What is the remainder when 4 is divided by v?
1
Suppose v + 3*v + 16 = 0. Calculate the remainder when 230/4 + (-2)/v is divided by 5/25 + (-297)/(-15).
18
Let q(z) = 4*z**2 - 3*z**2 + 0*z**2 + 13*z - 5 - 2*z**2. Let a(s) = -2*s**3 + 4*s + 3. What is the remainder when q(9) is divided by a(-2)?
9
Let z(x) = -2*x**2 + 3*x - 3. Let m(d) = d**2 - 2*d + 1. Let s(y) = -5*m(y) - 3*z(y). Calculate the remainder when 1 - -61 - (0 + 1) is divided by s(3).
13
Suppose -4*j - j + 54 = -2*g, 3*j - 40 = 5*g. Let v = -4 + 22. Calculate the remainder when v is divided by j.
8
Let g = 1 - -25. Let y be ((-28)/2)/(4/(-2)). Suppose -40 + y = -3*n + 4*o, 0 = -o - 3. What is the remainder when g is divided by n?
5
Let p(z) = 30*z. Let a(w) = w**2 + 3*w + 1. Let y be a(-2). Let g be p(y). Let k = 4 - g. Calculate the remainder when k is divided by 12.
10
Suppose -240 = -3*v + l - 73, -281 = -5*v + 3*l. What is the remainder when v is divided by 29?
26
Let f = 12 - 7. Suppose 3*a - 58 = 2*s + 2*s, -3*s - 68 = -4*a. What is the remainder when a is divided by f?
4
Suppose u - 18 = -1. Calculate the remainder when 49 is divided by u.
15
Suppose f = -g - 0*g - 12, 0 = -f + 5*g - 6. Let i = -2 - f. Calculate the remainder when 26 is divided by i.
8
Let r = -17 + 20. Suppose 4*b - 11 = -3*q, -8 = -2*q - 0*b - r*b. What is the remainder when 2 is divided by q?
0
What is the remainder when 213 is divided by (-1 - 1)/(2*5/(-135))?
24
Suppose 0 = 4*f + 12, 0 = 3*j + 4*f - 61 - 233. What is the remainder when j is divided by 21?
18
Suppose -5*g + 0*g = 2*v - 40, -5*g + 4*v + 40 = 0. Let n(u) = u**2 + 7*u + 4. Calculate the remainder when n(-9) is divided by g.
6
Let y(h) = h + 53. Calculate the remainder when y(20) is divided by 38.
35
Suppose 0 = -4*u + 3*h - 9, -4*u + h - 13 = 2*h. Let o = 2 + u. Let f = 3 + o. Calculate the remainder when f is divided by 1.
0
Let s(z) = -5*z**3 - z**2 - 2*z - 1. Let x be 6/15*(-3 - 2). Calculate the remainder when s(x) is divided by 21.
18
Let d(z) = z**2 + 4*z + 2. Let o(x) = -2*x**2 - 8*x - 5. Let t(n) = 13*d(n)