remainder when q is divided by x?
1
Let d(x) = x**3 - 8*x**2 - x + 10. Let j be d(8). Suppose 0 = -j*b - 6, -3 = o - 2*b + 6*b. What is the remainder when 25 is divided by o?
7
Suppose 0*p = 3*p. Let r = -7 - -11. Suppose p = -3*d + 2*j + 31, 15 = j - r*j. What is the remainder when 13 is divided by d?
6
Suppose -2*u - 7 = -3*u. Suppose -2*s = -y - 33, -4*y + 72 = u*s - 3*s. Calculate the remainder when 65 is divided by s.
14
Let i(d) = d**3 - 16*d**2 + d - 19. Let z be i(16). Let g be (0 + -4 - z) + 73. What is the remainder when 60 is divided by (-20)/(-6)*g/15?
12
Suppose -2717*u = -2718*u + 22. What is the remainder when 315 is divided by u?
7
Let r(t) = t**3 + t**2 - 5*t - 7. What is the remainder when r(3) is divided by 3?
2
Suppose 9402 + 9978 = 85*h. What is the remainder when h is divided by 9?
3
Let f = -1159 + 1185. Let n(x) = 141*x + 1. What is the remainder when n(2) is divided by f?
23
Let s = 722 + -704. Calculate the remainder when 303 is divided by s.
15
Let o be 22/3 + 2/3. Suppose -4*q = -o - 0. Suppose 22 = q*h - 0*h. Calculate the remainder when h is divided by 4.
3
Let h(f) = 9*f**2 + 14*f - 8. Let s(t) = 4*t**2 + 7*t - 4. Let d(o) = 6*h(o) - 13*s(o). Let a = 470 - 440. What is the remainder when a is divided by d(4)?
6
Let f = 27 + 18. Calculate the remainder when f is divided by 12.
9
Suppose 10*r = 6*r + 5*x + 62, 5*x = 10. Suppose -10*o - 112 = -r*o. What is the remainder when 22 is divided by o?
8
Let i be (4/(-3))/((-18)/513). Let h = i - 17. Let w(p) = p**2 + 6*p + 1. What is the remainder when h is divided by w(-7)?
5
Let q(r) = -2*r**3 - 10*r**2 - 19*r + 8. Calculate the remainder when 64 is divided by q(-4).
12
Suppose -12 = -4*h + 60. Let j = 307 + -181. Suppose 14*o - 350 = j. What is the remainder when o is divided by h?
16
Let f(b) = -b + 21. Let s(q) = q - 22. Let l(t) = 4*f(t) + 3*s(t). Calculate the remainder when 52 is divided by l(10).
4
What is the remainder when 48 is divided by (-203)/(-14)*(2 - 0)?
19
Suppose d - 5*z = 12, 3*z + 38 = 2*d + 3*d. Suppose 0 = 6*b - 5*b. Suppose 168 = 7*i - b*i. What is the remainder when i is divided by d?
3
Let g(d) = d**3 + 11*d**2 - 3*d - 14. Suppose -120 - 195 = -9*a. What is the remainder when a is divided by g(-11)?
16
Let g = -1 + 8. Let y(i) = i**3 - 8*i**2 - 3*i - 6. Let d be y(g). Calculate the remainder when (-9)/6*d/2 is divided by 15.
12
Let l(h) = h**3 + 6*h**2 + 6*h + 10. Suppose 4*f + 0*b - 112 = -4*b, 0 = f - 4*b - 38. Calculate the remainder when f is divided by l(-4).
12
What is the remainder when 77 is divided by (-3)/18 - -157*3/18?
25
Let q be 2/(4/58) + 1. Suppose -27*h = -25*h - q. What is the remainder when 44 is divided by h?
14
Let u(t) = t**2 - 10*t - 2. Let f be u(9). Let h(n) = -n**3 - 10*n**2 + 9*n + 2. What is the remainder when h(f) is divided by 9?
6
Let o(v) = 27*v + 1234. Let w(y) = -y**3 + 5*y**2 + 2*y + 2. What is the remainder when o(-42) is divided by w(4)?
22
Let k = 208 + 157. Suppose 3*a - k = -2*a. Let m = a - 40. Calculate the remainder when m is divided by 17.
16
Calculate the remainder when 168 is divided by 2/(-6) + 201/9 + 4.
12
Suppose 3 = -r + 18. Suppose -8*i - 113 = -9*i. Let a = 245 - i. What is the remainder when a is divided by r?
12
Let y = 8 + -12. Let q be 2 + y/((-8)/6). Suppose 0 = -2*p + q*p - 72. Calculate the remainder when 117 is divided by p.
21
Let g(v) = v**2 + v - 9. Let w be g(9). Let a be 2088/w + (-2)/(-9). Let u = a - 17. Calculate the remainder when 15 is divided by u.
6
Let n = 118 + -98. Calculate the remainder when 1157 is divided by n.
17
Suppose 3 = z + 2*f - 25, 0 = 2*z + f - 62. What is the remainder when 105 is divided by z?
9
Suppose 3*k - 4 = -2*n, k - 2 = -4*n - 14. What is the remainder when (-470)/n*(-34)/(-85) is divided by 16?
15
Suppose 46*d = 39*d + 378. What is the remainder when d is divided by 5?
4
Suppose 71*c = 76*c + 140. Calculate the remainder when 81 is divided by ((c/(-8))/(-1))/((-1)/6).
18
Let o(y) = y**2 + 3*y + 4. Let j be o(-3). Suppose -g - 9 = -j*g. What is the remainder when 3 is divided by g?
0
Calculate the remainder when 180 is divided by (-2)/(-16) + 2580/96.
18
Suppose -4*q - 3 + 15 = 0. Suppose 8*v = 3*v - f + 38, -v + 14 = -q*f. What is the remainder when v is divided by 6?
2
Let k(s) = 2*s - 3. Let c be k(2). Let o be -5*-1*(c - 0). Let x(b) = 2*b - 1. Calculate the remainder when 17 is divided by x(o).
8
Let m = -2200 + 2206. What is the remainder when 1396 is divided by m?
4
Let d(z) = -5*z**3 - 6*z**2 - 21*z - 3. Let y be d(-3). Let n = -92 + y. What is the remainder when n is divided by 10?
9
Let w(r) = -50*r - 313. Calculate the remainder when 68 is divided by w(-7).
31
Let i be ((-64)/20)/(2/(-35)). Suppose -3*x = -h - i, 4*h = -2*x - 11 + 53. What is the remainder when x is divided by 6?
1
Let a(x) = x**2 + 12*x - 19. Let w be a(-14). Let t = 56 - w. What is the remainder when t is divided by 12?
11
Let s(g) = -8*g + 417. Calculate the remainder when 268 is divided by s(45).
40
Suppose 0 = -b + 330 - 107. What is the remainder when b is divided by 15?
13
Suppose -x + 50 = -4*k, x = -2*x + k + 183. Suppose 5*q - 70 = -4*w, x = 4*w - q + 2*q. What is the remainder when 42 is divided by w?
12
Suppose 2*t = -t + 12. Suppose -4*y - c + 434 = 0, -t*y + 4*c = -y - 316. What is the remainder when y/(-10)*10/(-3) is divided by 13?
10
Let d = -324 + 509. Suppose 5*o + d = 6*z - 3*z, -5*z - 185 = 4*o. What is the remainder when 15 is divided by ((-36)/(-30))/((-6)/o)?
7
Let z be ((-20)/15)/(2/(-3)). Suppose -r - 12 = z*r - 5*p, p + 20 = -5*r. What is the remainder when (-7)/14 + (-38)/r is divided by 4?
1
Suppose -4*n + 18 = -6. Let w(q) = q**3 - 6*q**2 - 6*q - 1. Let u be w(7). Suppose u*p + 2 = 14. What is the remainder when n is divided by p?
0
Let t = 2808 + -2491. What is the remainder when 319 is divided by t?
2
What is the remainder when 404 is divided by (28 + (0 - -2))*18/12?
44
Let h be (-16)/(-2) + -15 + 14. Suppose 2*r = h*r - 110. What is the remainder when 64 is divided by r?
20
Let q(l) = 2*l**3 - 35*l**2 - 18*l + 16. What is the remainder when 941 is divided by q(18)?
13
Let k = -663 - -681. Calculate the remainder when 100 is divided by k.
10
Let x(t) = 6*t**2 + 4*t + 14. What is the remainder when x(-6) is divided by 54?
44
Let x(r) = -r**2 + 8*r - 5. Let y be x(7). Let c = 4 - y. Suppose c*i = -0*i + 3*h + 34, -4*i = -4*h - 72. Calculate the remainder when 38 is divided by i.
18
Calculate the remainder when 255 is divided by ((-65)/(-10) + -4)*(4 - 0).
5
Let h(j) = 3*j**2 + 14*j - 2. What is the remainder when 62 is divided by h(-6)?
18
Suppose -4*y = 235 - 659. Suppose 0 = 2*g - 4*g + y. Let t = -16 + g. Calculate the remainder when t is divided by 13.
11
Suppose -195*g = -192*g + 5*f - 235, 4*g = 5*f + 325. Calculate the remainder when 235 is divided by g.
75
Suppose 5*b = -31*b + 504. Suppose 0 = 5*u + 5*f - 40, 2 + 3 = -5*f. What is the remainder when b is divided by u?
5
Suppose 0 = -32*x + 29*x - 6, -5*j = -3*x - 16. Calculate the remainder when 2 is divided by j.
0
Let s = -18 + 30. Calculate the remainder when 346 is divided by s.
10
Suppose 0 = 3*i - 7 - 17. Suppose 2*s = i*s - 306. What is the remainder when s is divided by 27?
24
Suppose -1020 = -447*x + 427*x. Calculate the remainder when 241 is divided by x.
37
Suppose -5*m - o - 86 = -609, 0 = -4*m + 2*o + 424. Calculate the remainder when m is divided by ((-3)/(-4))/((-10)/(-480)).
33
Let x(q) = 2*q - 11. Calculate the remainder when 1 - -1 - 3 - -14 is divided by x(9).
6
Let b = 326 + -264. What is the remainder when b is divided by 5?
2
Let j(x) be the second derivative of -x**4/12 + 7*x**3/3 - x**2/2 + 2*x. Let h = -5 - -18. What is the remainder when 33 is divided by j(h)?
9
Suppose -4*x = -27 - 9. Suppose -x = -3*a + 33. Calculate the remainder when a is divided by 2.
0
Suppose h + 52 = 5*h. Let n be -42*(-5)/((-60)/(-16)). Let u = n - 32. What is the remainder when u is divided by h?
11
Let f(i) = -i**3 - i**2 - i + 1. Suppose t - 7 = 3*d, -4*d + 3 = 5*t + 25. What is the remainder when 81 is divided by f(t)?
4
Let n(u) = 2*u**3 - 169*u**2 + 80*u + 356. Suppose 445 = 3*d - 3*r + 82, -5*r = -d + 133. What is the remainder when d is divided by n(84)?
18
Suppose 2*f 