).
1
Let g be 0 + 0/1 - 6. Let b(h) = 2*h**2 + 8*h - 2. Let s be b(g). Let q = -14 + s. What is the remainder when q is divided by 5?
3
Suppose -197 - 13 = -5*h. Suppose 2*o + 351 = 5*m, 5*m = 2*m - 4*o + 221. Let w = m - h. What is the remainder when w is divided by 10?
9
Suppose -3*j = 2 - 11. Let g(l) be the second derivative of l**3/6 + l**2 - l. What is the remainder when j is divided by g(0)?
1
Suppose -4*q = -3*q - 40. Suppose 0 = -x + 3 - 0. Suppose 0 = x*l + 3*i - 45, -2*i - 13 = -l - i. What is the remainder when q is divided by l?
12
Suppose 5*w = 5*o - 172 + 2, 108 = 3*o - w. Suppose -2*f = -p - o, 4*f + p = -p + 86. Calculate the remainder when f is divided by 11.
9
Suppose -8 = -3*a + 4. Suppose a = 3*r - 35. Calculate the remainder when r is divided by 3.
1
Suppose -2 = s - w + 8, s = 4*w - 22. Calculate the remainder when s/(-15) - (-8)/5 is divided by 2.
0
Suppose 3*k + 4*s - 20 = 0, 20 = 2*k - 5*s + s. Let v be 22/(-11)*(-46)/4. Suppose 0*w - w = -v. Calculate the remainder when w is divided by k.
7
Suppose -17*v + 22*v - 45 = 0. Calculate the remainder when 35 is divided by v.
8
Let o(j) = j**2 - 2*j + 2. Let y = 36 + -32. Suppose -2*i + 4*g = -i + 6, -6 = -2*g. What is the remainder when o(y) is divided by i?
4
What is the remainder when (-6)/(-27) - 1688/(-18) is divided by 19?
18
Let o be (90/(-8))/(1/(-4)). Calculate the remainder when (-616)/(-18) + (-10)/o is divided by 18.
16
Suppose -8*n + 5*n = -249. Calculate the remainder when n is divided by 12.
11
Let r(w) = -w + 0*w + 4 - 4 + 55*w**2 - 1. Calculate the remainder when r(-1) is divided by 19.
17
Suppose 2*y + 5 = 2*m - 15, -4*m = -y - 28. What is the remainder when 19 is divided by (-9)/(-27) - (-58)/m?
9
Let z = 4 - -38. What is the remainder when z is divided by ((-30)/(-12))/((-1)/(-6))?
12
Suppose 10*z - 2*z - 352 = 0. What is the remainder when 175 is divided by z?
43
Let c(b) = b**3 + 7*b**2 + 4*b + 1. Calculate the remainder when c(-6) is divided by 7.
6
Let s = 191 - 109. Suppose -2*f + 226 = 3*g, 0*g - f - s = -g. Suppose 2*z - 38 = -5*a, a + 4*a + g = 2*z. What is the remainder when z is divided by 10?
9
Suppose 4*b = -7*n + 4*n + 60, 3*b + n = 50. What is the remainder when b is divided by 11?
7
Suppose 0 = 3*x - 2*g - 124, -x - 2*g = 2*x - 104. What is the remainder when x is divided by 10?
8
Let r = 171 - 109. Calculate the remainder when r is divided by 16.
14
What is the remainder when 33 is divided by -2 - (1 + 2 + -22)?
16
Let y(p) = -p**2 - 10*p + 10. What is the remainder when y(-5) is divided by 11?
2
Let l(u) = 9*u**2 + 3*u - 5. What is the remainder when l(3) is divided by 22?
19
What is the remainder when 4 is divided by 2/((-2)/(-3)) + 0?
1
Suppose -r + 24 = -2*a, 0 = -5*r - a - a + 144. Suppose u + 30 = 3*u + 5*v, -u - 3*v + 15 = 0. What is the remainder when r is divided by u?
13
Calculate the remainder when (7 - 0)*(4 - -3) is divided by 17.
15
Suppose -4*z + 7*z - 30 = 0. Let v(t) = -t**3 - 8*t**2 + 4*t + 3. What is the remainder when v(-9) is divided by z?
8
Let j = 8 - 2. What is the remainder when 17 is divided by j?
5
Let r = 18 + -10. What is the remainder when 19/(-2)*(-4)/1 is divided by (-4)/(-5)*100/r?
8
Let d be ((-108)/2)/(2/2). Let j = 77 + d. Calculate the remainder when j is divided by 6.
5
Let j be -3 + 9 + -1 + 0. Suppose -3*p = -0*p - r - 1, r - 7 = -5*p. What is the remainder when p is divided by 5/j + (1 - 1)?
0
Suppose 2*b - 3 = -1. Let t(o) = 32*o**3 + 2*o**2 - 1. What is the remainder when t(b) is divided by 17?
16
Calculate the remainder when ((-1)/2)/(16/(-416)) is divided by 10.
3
Suppose -2*b = -6*b + 60. Suppose -3*t + 89 = -40. What is the remainder when t is divided by b?
13
Let q(x) = x**2 + 1 + 0 + 17*x**3 - 2*x - x**3. Let p = 20 + -14. What is the remainder when q(1) is divided by p?
4
Let c = 29 - 4. Let o = 149 - 52. What is the remainder when o is divided by c?
22
Let q(d) = -2*d + 17. Calculate the remainder when 150 is divided by q(0).
14
Let n(w) = -w**2 + 10*w + 16. Let v be n(11). Suppose 0*a = -v*a + 25. Calculate the remainder when a*-1*(2 - 9) is divided by 19.
16
Let h = -38 + 64. Suppose 0 = -4*a + 23 + 5. Calculate the remainder when h is divided by a.
5
Let r = -2 - -9. Suppose h + 294 = 4*h. Suppose -3*n + h = 17. What is the remainder when n is divided by r?
6
Suppose -7*y + 2*y + 2*i + 142 = 0, 5*i - 110 = -3*y. Suppose 5 = 5*d, 3*x - 7*x + 49 = 5*d. What is the remainder when y is divided by x?
8
Let d(i) = 18*i**2 - 1 - 10*i**2 + 8*i**2 + 6*i**2 + i. Calculate the remainder when d(1) is divided by 8.
6
Let y(h) = -13*h - 23. What is the remainder when y(-7) is divided by 14?
12
Suppose 16*l - 160 = 6*l. Calculate the remainder when 44 is divided by l.
12
Suppose -h - h = -22. Let q = 10 + -5. Suppose 0 = -q*a + 10*a - 95. What is the remainder when a is divided by h?
8
What is the remainder when 48 is divided by 10 + 1 - (15 - 11)?
6
Calculate the remainder when 137 is divided by (54 - 10) + (4 - 1).
43
Let l be 3 - (-3)/((-3)/11). Let x = 2 - l. Calculate the remainder when 19 is divided by x.
9
Suppose 5*d - 2*l = 326, 0*d + 5*d + 4*l - 308 = 0. What is the remainder when d is divided by 22?
20
Let g = -46 + 76. What is the remainder when g is divided by 8?
6
Let b(l) = l**3 + 8*l**2 + 6*l - 5. Let z = -7 - -1. Let k(q) = -q**2 - 4*q + 7. Let n be k(z). Calculate the remainder when b(n) is divided by 21.
19
Suppose -5*u + 33 = -5*n - 12, 4*u - 5*n = 39. Let w(t) = t**2 - 3*t - 1. What is the remainder when w(6) is divided by u?
5
Suppose 4*o = -5*n + 8, -3*o + 0*n = -5*n - 6. Suppose -2*c = x - 9, 0 = -3*c - c - 4*x + 20. What is the remainder when c is divided by o?
0
Let j(y) = -y**3 - 4*y**2 + 4*y - 3. Let b be j(-5). Suppose -3*r - b*d = -90, 3*d = 6 + 3. What is the remainder when r is divided by 10?
8
Suppose 2*x + 3*x - t - 140 = 0, -5 = t. Suppose 0 = -q + 17 - 3. What is the remainder when x is divided by q?
13
Let i = -7 + 64. Let z = i + -9. Suppose 5*y - z + 13 = 0. Calculate the remainder when y is divided by 3.
1
Suppose 0 = -z - 2*z - 72. Let s be (z + 0)/((-3)/4). Suppose 4*u - s = 8. What is the remainder when 19 is divided by u?
9
Suppose 0 = 4*w + 2*v - 72, 3*v + 0*v + 45 = 3*w. What is the remainder when 67 is divided by w?
16
Suppose -6 = 2*h - 4*h. Suppose h*t - 2*t = 30. Let p = t - -2. What is the remainder when p is divided by 17?
15
Let u(x) = -x + 8. Let b be u(6). Suppose d - 70 = -w + 2*d, b*w = -5*d + 119. What is the remainder when w is divided by 23?
21
Let u(n) = n**2 - 6*n - 15. Calculate the remainder when u(10) is divided by 4.
1
Let g(f) = 2*f**2 + 0 + 3*f + 2*f + 7. Calculate the remainder when g(-5) is divided by ((-51)/(-6))/((-1)/(-2)).
15
Let s(w) = -w**2 + 4*w + 42. What is the remainder when s(0) is divided by 15?
12
Suppose 0 = -5*d - 2*c + 182, -5 = 3*c + 7. What is the remainder when d is divided by (-8)/28 + (-216)/(-21)?
8
Let f(t) = -3*t + 2. Suppose -2*h - 2*h + 124 = 0. Calculate the remainder when h is divided by f(-2).
7
What is the remainder when 20 is divided by (-3)/7*-2*7?
2
Let l(o) = o**2 + o + 20. What is the remainder when ((-236)/6)/(4/(-6)) is divided by l(0)?
19
Suppose -o + 0*o - x = 0, 12 = 4*o - 2*x. Suppose o*r + 2*r - 12 = 4*w, r = 4*w + 3. Suppose 5*u = -w*u + 35. Calculate the remainder when 20 is divided by u.
6
Let q be (5/2)/(3/6). Let m be (-3)/3 + (q - 0). Calculate the remainder when 28 is divided by 6/m*60/9.
8
Suppose -3*z + 4 + 8 = 0. Suppose -z*l + l = -15. What is the remainder when 9 is divided by l?
4
Let a(w) = -4*w + 2 + 2*w**2 + 3*w + 4*w. Let s(b) = b + 11. Let u be s(-8). Calculate the remainder when a(u) is divided by 15.
14
Let h = 2 + -2. Suppose 5*k - 73 = -3*m - 0*k, h = -4*m - 3*k + 79. What is the remainder when 46 is divided by m?
14
Let b(p) be the first derivative of -3*p**4/2 - p**2/2 - p - 7. What is the remainder when 10 is divided by b(-1)?
4
Suppose 5*n - 4*z - 85 = 0, -2*z = n + 2*z + 7. Let g(c) = -c + 37. Calculate the remainder when g(0) is divided by n.
11
Let c(p) = p**3 + p**2 + p + 66. Let q = -6 - -23. What is the remainder when c(0) is divided by q?
15
Suppose -3*s = 6 - 102. What is the remainder when 126 is divided by s?
30
Suppose 2*g = 4*v + 224, -4*g + 558 = 