) is divided by 9.
8
Let u(w) = w**3 + 6*w**2 + 4*w + 6. Suppose 4*x - 225 = -5*q, 3*x - 8*x = -25. What is the remainder when q is divided by u(-5)?
8
Calculate the remainder when (-6)/39 + (-1772)/(-26) is divided by 24.
20
Suppose 2*x - x = 74. Suppose -3*p = -x - 37. Calculate the remainder when p is divided by 13.
11
Let q = -9 - -21. Calculate the remainder when 20 is divided by (-1)/4 + 87/q.
6
Let y be 21/3 + (4 - 7). Let r(z) = -z**2 - 3*z + 5. Calculate the remainder when y + (-5 - (1 - 4)) is divided by r(-4).
0
Suppose 2*q - 2*x - 3*x - 13 = 0, x = -1. Suppose q = 4*p, b - 5*p - 10 = -4*b. Suppose -b = 3*v - 24. Calculate the remainder when 13 is divided by v.
6
Suppose 4*m - 14 = 2*q, 4*m + 3 = -q + 20. Suppose 0 = m*g + 3*c, 5*c + 11 = -9. Suppose -g*z = -92 + 20. What is the remainder when z is divided by 13?
11
Suppose w + 0*b - 29 = b, 107 = 4*w + 5*b. What is the remainder when -4 + (-2)/(-2) + w is divided by 13?
12
What is the remainder when 18 is divided by (4 - 1) + 42/6?
8
Suppose -7*k = -63 - 63. What is the remainder when 179 is divided by k?
17
Suppose 4*c = -5*h - 98, -5*h + 4*h - 25 = c. What is the remainder when 21 is divided by 2/((-6)/c) + 3?
9
Let o be 7/(-2)*2 - -3. What is the remainder when (o/6)/((-1)/57) is divided by 20?
18
Let q = 153 - 90. Suppose 189 = 3*w - 2*t, w + 6*t - q = 3*t. What is the remainder when w is divided by 22?
19
Suppose -58*t = -52*t - 240. Calculate the remainder when 197 is divided by t.
37
Let u be 47/(-9) - 4/(-18). Let l(q) = -q**2 - 9*q - 8. What is the remainder when 33 is divided by l(u)?
9
Let l = -3 - -8. Suppose 21 = 3*d + 5*h - 75, -l*d + 197 = -4*h. Let v(u) = -2*u - 7. What is the remainder when d is divided by v(-10)?
11
Suppose 0 = p + 3*d + 4, -4*p - 5*d + 12 = -0*p. What is the remainder when 22 is divided by p?
6
Let k = -36 - -24. Let l = 32 + -18. What is the remainder when l is divided by (k/5)/(-3)*10?
6
Suppose d - k = -d + 1, 28 = d + 5*k. Suppose -d*i = 1 - 22. What is the remainder when i is divided by 4?
3
Suppose 0 = -3*f - 2*u + 7*u + 105, 4*f - u - 157 = 0. Calculate the remainder when f is divided by 30.
10
Suppose -2*b - 2*w = -26, 4*w = 4*b + 2*w - 82. Let o = 29 - b. What is the remainder when o is divided by 7?
4
Suppose 39*b - 35*b - 160 = 0. Calculate the remainder when b is divided by 9.
4
Suppose 12 = 5*f - 8. Let h(l) = l**3 - 4*l**2 + 2*l + 5. Calculate the remainder when h(f) is divided by 7.
6
Suppose s + 5 = -3*s + 5*v, 0 = -2*v + 2. Suppose r - 36 = -4*l, -3*r + 3*l = -s*l - 48. What is the remainder when r is divided by 7?
6
Let w(v) = 5*v - 6. Let p = 30 + 23. What is the remainder when p is divided by w(4)?
11
Let r = -9 - -14. Let w(x) = 2 - 4 + 8*x - 10*x**2 + 6*x**3 - r*x**3 + 3*x**2. What is the remainder when 28 is divided by w(6)?
8
Let h(u) = -42*u**3. Let m be h(1). Let f = -7 - m. Calculate the remainder when f is divided by 12.
11
Let m(z) = z**2 - 7*z + 8. What is the remainder when 13 is divided by m(7)?
5
Let d(z) = 2*z + 2*z + 3 - 5*z - 5 + z**2. What is the remainder when 14 is divided by d(-2)?
2
Calculate the remainder when (-6)/(-4)*(1 - (-609)/9) is divided by 21.
19
Let p = 28 - 16. Let d be (-10)/(-5) - (-1 + p). Let z = d - -23. What is the remainder when 41 is divided by z?
13
Let b(s) = -72*s - 5. What is the remainder when b(-2) is divided by 28?
27
Let m(c) = c**2 - 2*c - 7. Let r(t) = t**2 + 6*t + 6. Let p be r(-6). Let y(f) = 4*f**2 - 2*f + 3. Calculate the remainder when y(3) is divided by m(p).
16
Let l(s) = 2*s + 4. Let r = -10 + 14. Suppose 2*d + 102 = 5*d. Calculate the remainder when d is divided by l(r).
10
Suppose -2*z + 8 = -0*z, 3*p - 3*z = -132. Let m = p - -56. Let h = -63 + 93. What is the remainder when h is divided by m?
14
Let j = 10 + -4. Let k be (3/(-2))/(j/8). Calculate the remainder when (-8)/(21/12 + k) is divided by 11.
10
Suppose -7*t + 146 = 41. Let g(i) = -i**3 - 5*i**2 - i + 4. Calculate the remainder when t is divided by g(-5).
6
Let v = 40 + -31. What is the remainder when 26 is divided by v?
8
Suppose 5*r - j - 33 = 0, 30 = 5*r + 2*j + 6. Calculate the remainder when 18 is divided by (-2)/(-3*1/r).
2
Suppose -5*l + 22 = -2*p - 116, -94 = -3*l + 4*p. Let t = 76 - 67. Calculate the remainder when l is divided by t.
8
Let r(i) = -i**3 + 6*i**2 + 8*i - 6. Calculate the remainder when r(6) is divided by 15.
12
Let j(v) = -v**3 + 6*v**2 + v - 2. Let z be -2*5*(-2)/4. What is the remainder when j(z) is divided by 15?
13
Let p(h) = h**2 - 4*h + 3. Let k be p(5). Let n be ((-10)/(-4) + -2)*k. Suppose d - 125 = -n*d. Calculate the remainder when d is divided by 13.
12
Let w(p) = p**3 - p + 96. Let l be w(0). Suppose 0 = -2*d + 2*i + l, 3*d - 4*i - 144 = -0*i. Calculate the remainder when d is divided by 17.
14
Calculate the remainder when (-2 + 1)*-1*(-6 + 77) is divided by 18.
17
Let y(j) = -j + 8. Let w be y(4). Let l(a) = a + 8. What is the remainder when l(-6) is divided by 2 + 0*w/12?
0
Suppose -2*l - 2*b + 44 = 0, 25 + 15 = l - 5*b. What is the remainder when 123 is divided by l?
23
Let o(s) = 5 + 2 + 5*s - 2. Suppose -2*g + 3*n = -39, 0*g - 2*g = 3*n - 9. Calculate the remainder when o(6) is divided by g.
11
Let c = -49 - -69. Calculate the remainder when c is divided by 12.
8
Let y(t) = 6*t**2 + t + 1. Suppose -4*r = -5*v + 63, v - 3*r - 28 = -v. What is the remainder when v is divided by y(-1)?
5
Let x = 11 + -8. Let m be 24/(1 - x/9). Suppose 44 = 5*s + 5*a - 16, -m = -4*s + 2*a. Calculate the remainder when 28 is divided by s.
8
Suppose c = 2*c - 11. Let i be (-62)/(-5) - 2/5. Suppose -4*s + 4*d + i = 0, d + 17 = 4*s + 2*d. What is the remainder when c is divided by s?
3
Let l(d) be the third derivative of d**4/6 - 5*d**3/3 - 3*d**2. Suppose 6 = f - 1. What is the remainder when l(f) is divided by 5?
3
Let c be 6 - (2 + (-2 - -1)). Suppose c*w - 156 = w. Calculate the remainder when w is divided by 10.
9
Suppose -u + 75 = 4*u. Calculate the remainder when u is divided by 4.
3
Let g(w) = -w**3 + 10*w**2 - 11*w + 5. Calculate the remainder when g(8) is divided by (-4)/(0 + (-3)/12).
13
Suppose -3*r + 12 = -24. Suppose 4 + 101 = 3*t. Calculate the remainder when t is divided by r.
11
Suppose -5*o = 15, -292 = -3*l - 2*l - o. What is the remainder when l is divided by (-196)/(-10) + (-4)/(-10)?
19
Let z = 4 + -1. Let v(u) be the first derivative of u**3/3 - u**2/2 + 3*u - 3. Calculate the remainder when v(z) is divided by 5.
4
Let j(c) = -c**3 + 12*c**2 - 11*c + 14. What is the remainder when j(10) is divided by 27?
23
Calculate the remainder when 36 is divided by 15/1 - (6 - (-5 + 9)).
10
Let y = -98 - -153. What is the remainder when y is divided by 19?
17
Suppose 8*i - 105 = 3*i. Let a = i + 2. Let c(n) = -n**2 + 13. Calculate the remainder when a is divided by c(0).
10
Calculate the remainder when 77 + (-1 - (2 + -3)) is divided by 26.
25
Let j(v) = -2*v + 3. Let h be j(-1). Suppose -3*l - 345 = -5*n + 71, 4*l + 2*n + 546 = 0. What is the remainder when l/(-3) - h/(-15) is divided by 16?
14
Let v(c) = c**2 - 7*c + 3. Let i be v(4). Let b = 12 - i. Calculate the remainder when 61 is divided by b.
19
Let w = -16 - -21. Let g(l) = 1 + 5*l - 2 + 0. What is the remainder when g(2) is divided by w?
4
Let l = 17 + -41. Let i = 41 + l. Calculate the remainder when 67 is divided by i.
16
Let r be ((-49)/(-4))/((-1)/(-4)). Let j = r - 23. What is the remainder when 75 is divided by j?
23
Suppose -y + 2 = 4*q, 0 = 5*q - 0*y - 4*y - 13. What is the remainder when -2*(-27)/2 - q is divided by 14?
12
Suppose 5*c + 347 = -5*w + 27, 3*c = 3*w + 168. Let i = -38 - w. What is the remainder when (-258)/4*2/(-3) is divided by i?
21
Let j = 585 + -575. Calculate the remainder when j is divided by ((-3)/(-2))/((-6)/(-16)).
2
Let y = 15 + -11. Suppose -o + 3*o = -2*k + 16, y*k = 5*o - 4. What is the remainder when 5 is divided by o?
1
Suppose i = 2*i - 32. Suppose -q = 7*q - 136. Calculate the remainder when i is divided by q.
15
Let q = -69 - -86. What is the remainder when 25 is divided by q?
8
Let q(x) = x**2 - x + 2. Let t be q(0). What is the remainder when 32 is divided by ((-33)/(-6))/(t/4)?
10
Let d(h) = 12*h**2. What is the remainder when 21 is divided by d(1)?
9
Let g = -2 + 4. Suppose