s divided by g.
10
Suppose 10 = 4*w - 6. Calculate the remainder when (-78)/(-12) - (-2)/w is divided by 3.
1
Let w(x) = -x**2 + 12*x - 9. Let q(y) = -2*y**3 - 2*y**2 + 2*y - 1. Let h be q(1). Calculate the remainder when 6/(-9) + (-65)/h is divided by w(10).
10
Suppose 67*x = 68*x - 30. Calculate the remainder when 118 is divided by x.
28
Let l = 128 - 88. Suppose 0 = 3*d - 4*g - 35, -4*g = -5*d + d + l. What is the remainder when 13 is divided by d?
3
Suppose 80 = -5*h - 5*q, 5*h + 4*q + 53 = 2*h. Let r(l) = 13*l**2 + 2*l + 1. Calculate the remainder when h - -10 - -4*9 is divided by r(-1).
11
Let o = -2 + 12. Suppose 145 = 3*g + h, -6*g + 2*g - 2*h + 194 = 0. Calculate the remainder when g is divided by o.
8
Let r(s) = s**3 - 9*s**2 + 3*s + 1. Calculate the remainder when 109 is divided by r(9).
25
Suppose 0 = -7*q + 5*q - 148. Let t = q + 111. What is the remainder when t is divided by 13?
11
Let h(m) = -4*m - 1. Let f be h(-9). Suppose 22 = 3*i - f. What is the remainder when 54 is divided by i?
16
Suppose 0 = -4*r - 5*t + 38, -5*r + t = -0*r - 33. Suppose b = 6*b - 60. Calculate the remainder when b is divided by r.
5
Let c = -6 - -5. Let s(d) = 10*d**3 - 2*d - 1. Let z be s(c). Let r = 22 + z. What is the remainder when r is divided by 7?
6
Let g = -2 + 5. Suppose 26 = 2*x + 3*b, 2*b - 34 = -0*x - g*x. Calculate the remainder when x is divided by 6.
4
Suppose -5*a - 46 = -2*s, 5*a = -s + 5*s - 72. Calculate the remainder when s is divided by 4.
1
Suppose 3*d = 202 + 95. What is the remainder when d is divided by 17?
14
Let w(q) = 3*q**2 + 7*q + 6. Suppose 3*z - 4 = -m, -2*m - 2 = -m. Suppose -z*d - 70 = -7*d. What is the remainder when w(-4) is divided by d?
12
Let i(c) be the first derivative of -7*c**2 + 2*c + 1. Let a be i(-2). Suppose 0 = m - 2*m + a. Calculate the remainder when m is divided by 8.
6
Let o(j) = 2*j + 2. What is the remainder when ((-72)/28)/((-2)/14) is divided by o(4)?
8
Suppose 0*o = -2*o + 26. Calculate the remainder when 37 is divided by o.
11
Let w = -1 - -1. Suppose 2*k + 2*k - 60 = w. What is the remainder when k is divided by 8?
7
Let m = -2 + 28. What is the remainder when 50 is divided by m?
24
Let c = 7 + -2. Suppose m + 76 = c*m. What is the remainder when 37 is divided by m?
18
Suppose -35 = -4*u + 17. Calculate the remainder when 51 is divided by u.
12
Let i = -6 + 120. Let g = i - 73. Let t = g + -22. Calculate the remainder when t is divided by 7.
5
Let h(o) = o**2 - 12*o + 14. What is the remainder when 81 is divided by h(12)?
11
Suppose -q = -2*w - 107, 3*q - 5*w = 4*q - 121. Calculate the remainder when q is divided by 23.
19
Suppose -2*x = -x - 21. What is the remainder when 83 is divided by x?
20
Let h(u) = 4*u - 2. Calculate the remainder when 6 is divided by h(2).
0
Suppose -15 = -j + 31. What is the remainder when j is divided by 16?
14
Let z = -165 + 329. Calculate the remainder when z is divided by 11.
10
Let s = -14 - -14. Let o(c) = 30 + c - 2*c + 0*c. What is the remainder when o(s) is divided by 16?
14
Suppose 5*r + 5*a = 80, -54 = -2*r + 3*a + 3. Calculate the remainder when 80 is divided by r.
17
Suppose -6*w + 9*w = 327. What is the remainder when w is divided by 14?
11
Suppose 0 = -2*k + 4*g - 326, 2*k + 4*g = 3*k + 173. Let z = -100 - k. What is the remainder when z is divided by (-5 - -2)/((-6)/28)?
11
Let v = 29 - 11. Suppose 5*t + 0*w - 17 = -w, t = 4*w + 16. Suppose -t*m = -32 + 4. What is the remainder when v is divided by m?
4
Let h = -373 + 381. Suppose 0 = -2*k + u - 3*u + 58, 2*u = 3*k - 92. Calculate the remainder when k is divided by h.
6
Suppose 4*w = 3*w. Suppose 2*q - 3*a - 141 = w, 4*a = 4*q - 423 + 143. Calculate the remainder when q is divided by 18.
15
Suppose -4*d - 65 = 2*z - 7*z, 5*z + d - 90 = 0. What is the remainder when 67 is divided by z?
16
Let w(z) = -z**3 + 6*z**2 + 4*z + 2. Let g = 35 + -18. What is the remainder when w(5) is divided by g?
13
Let g be 1 - 37 - (-1)/1. Let w = -9 + 63. Let i = g + w. Calculate the remainder when i is divided by 7.
5
Let a = 1 - 1. Suppose a = -3*r + 100 - 13. What is the remainder when r is divided by 10?
9
Suppose -3*c = -4*t + 3, c - 6 = -5*t + 4*c. Suppose 5*b - 300 = t*s, 5*b + 5*s - 363 = -103. Calculate the remainder when b is divided by 15.
12
Suppose 9*l - 8*l = 115. Calculate the remainder when l is divided by 29.
28
Calculate the remainder when 4 is divided by 3 + 0/(-1) - 0.
1
Suppose 2*u + b - 5 = 3*u, -3*u + 2*b - 16 = 0. Let k(x) = 3*x + 1. What is the remainder when k(5) is divided by (-40)/(-6) - u/(-9)?
4
Let l(g) = 5*g**2 + 5*g + 3. What is the remainder when l(6) is divided by 36?
33
Let t(k) = k**3 + 3*k**2 - 2*k - 2. Let x be t(-3). Suppose 8 = -x*b, -4*d - 3*b + 77 = 23. Calculate the remainder when 7 is divided by d/(-10)*(-8)/3.
3
Let a = 16 - 0. Suppose 138 = 5*h - 12. Calculate the remainder when h is divided by a.
14
Let h = -1 + 35. Let r = -41 + 53. Calculate the remainder when h is divided by r.
10
Let h(o) = 5*o**3 - 2*o**2 - 7*o + 2. Calculate the remainder when h(3) is divided by 33.
32
Let f be (-10)/3 + 6/(-9). What is the remainder when 18 is divided by 6/f*40/(-6)?
8
Let d = 37 + -20. Suppose -4*q = -4*h + 32, 4*h - 2*h - 4*q - 18 = 0. Let o(s) = s - 1. Calculate the remainder when d is divided by o(h).
5
Suppose 9*x - 104 = -4*x. Calculate the remainder when 39 is divided by x.
7
Let a(y) be the first derivative of -17*y**2/2 - y + 8. Calculate the remainder when a(-2) is divided by 7.
5
Let b = -7 - -5. Let d be (65/2)/(b/(-8)). Suppose 2*g = g + 3, 4*c - 2*g = d. What is the remainder when c is divided by 18?
16
Let j(v) = -v**3 - 3*v - 4. Calculate the remainder when j(-3) is divided by 18.
14
Suppose 66 = 8*n + 2. What is the remainder when n is divided by 5?
3
Suppose 5 = g - 2*g, 0 = 2*a + g - 159. What is the remainder when a is divided by 21?
19
Let y = -11 - -25. What is the remainder when 27 is divided by y?
13
Suppose s - 2*f = -8, 3*s - 3*f = -7*f + 16. Suppose s = -5*c + c + 40. Let g = 50 + -31. What is the remainder when g is divided by c?
9
Suppose -c + 6*c + y - 214 = 0, 180 = 4*c + 3*y. What is the remainder when c is divided by 11?
9
Suppose i + n = -2*i + 49, 0 = 3*n - 3. Suppose 120 = k + 3*k. Calculate the remainder when k is divided by i.
14
Suppose 0 = -3*f + 4*f - 5. Let w = f - -2. What is the remainder when 13 is divided by w?
6
Suppose -5*f + 4*f = 4. Let z(l) = 2*l**2 - 5*l - 4. Calculate the remainder when z(f) is divided by 13.
9
Let j(o) = o**3 - 7*o**2 - 7*o - 8. Let y be j(8). Let w = 0 - y. Suppose w*i = 3*i - 3. What is the remainder when i is divided by 1?
0
What is the remainder when (882/105)/(1/5) is divided by 11?
9
Let g(w) = w**3 + 8*w**2 + 5*w + 12. What is the remainder when g(-7) is divided by 18?
8
Suppose -5*c = 3*f - 75, 7*c + 5*f = 3*c + 47. Let t = 2 + -2. Suppose v + t = 10. Calculate the remainder when c is divided by v.
8
Let s(a) = -5*a**2 - 2*a + 18. Let n(l) = -4*l**2 - 2*l + 18. Let i(t) = 6*n(t) - 5*s(t). What is the remainder when 35 is divided by i(0)?
17
Let v(p) = -p**3 - 24*p**2 - 22*p + 28. What is the remainder when v(-23) is divided by 3?
2
Suppose -4*s + 9 = -3*k - 49, 0 = -s - 5*k + 26. What is the remainder when s is divided by 6?
4
Suppose 3*f = -5*n + 4*f + 419, -75 = -n - 2*f. Calculate the remainder when n is divided by 21.
20
Suppose -4*l - 5*h - 15 = -38, 5*l = 3*h + 75. Let w(f) = f + 15. Let u be w(-10). Suppose -u*s + 0*s + 115 = 0. Calculate the remainder when s is divided by l.
11
Let t = 2 - -3. Let o(b) = b**2 + 2*b - 8. Let s be o(4). Suppose -s = -r - 3*g, -2*r - t*g + 24 = -3*r. Calculate the remainder when 1 is divided by r.
0
Let j = 8 + -4. What is the remainder when 14 is divided by j?
2
Let h = 5 - -2. Let o = h - 1. Suppose 0 = -r + o*r - 80. Calculate the remainder when r is divided by 9.
7
Let w = -44 - -56. Let x(m) = m**3 + 10*m**2 - 5*m - 3. What is the remainder when x(-10) is divided by w?
11
Let d(y) = -y - 1. What is the remainder when d(-14) is divided by 3?
1
Suppose 5*h = 2*y - 417, 0*y + y = -3*h - 259. Let i be h/4 + (-6)/(-24). Let s = i - -32. Calculate the remainder when 31 is divided by s.
9
Suppose -2*n + 135 = 3*n. What is the remainder when n is divided by 10?
7
Let 