 n?
52
Suppose 12 = 8*w - 6*w. Suppose -w*x = -82 - 98. Calculate the remainder when x is divided by 12.
6
Let o(p) = 2*p**2 - 7*p - 2*p + 8*p + 5 - 3*p**2. Let a be o(-4). Let u(s) = s**2 + 5*s + 1. What is the remainder when 57 is divided by u(a)?
12
Suppose 0 = 2*w - 4 - 8. Suppose -35 = -w*v - 11. Suppose f = -i + v*i - 65, 27 = i + 5*f. What is the remainder when i is divided by 8?
6
Suppose -3*g - d = -22, -26 = -3*g - d - d. What is the remainder when ((-210)/(-50))/(2/(-20)*-2) is divided by g?
3
Let v(w) = w**2 + 7*w + 12. Let s be v(-5). Suppose -s*m = -i - 5*m + 14, -i + 26 = -3*m. Calculate the remainder when 56 is divided by i.
16
Let q be (3 - (-9)/(-6))*4. Let y(j) be the third derivative of 5*j**4/24 + 3*j**3/2 - 12*j**2. What is the remainder when y(q) is divided by 21?
18
Let r = 146 + -93. Suppose 4*b = b + 5*f + 474, -158 = -b + 4*f. Calculate the remainder when b is divided by r.
52
Let y(c) = -c**2 + 11*c + 25. Let q be y(12). Suppose 0 = 2*o - 39 - q. Calculate the remainder when o is divided by (3 - (-33)/3)*1.
12
Let p = -20 - -6. Let r = p - -19. Suppose 0 = 5*v + 4*j - 60, r*v - 4*j = j + 60. What is the remainder when 47 is divided by v?
11
Let t(s) = -s**2 + 10*s. Suppose 3*i = -5 + 17. What is the remainder when t(2) is divided by i?
0
Let u(c) = c**3 + c**2 - 1. Let y(v) = -v**3 - 11*v**2 - 4*v + 16. Let h(g) = 2*u(g) + y(g). What is the remainder when h(10) is divided by 15?
14
What is the remainder when 20 is divided by ((-5)/(-2))/((-20)/(-48))?
2
Suppose 6*g = 2*a + 5*g - 29, 4*a + 5*g = 65. What is the remainder when 114 is divided by a?
9
Suppose 0 = 21*x - 303 - 3498. What is the remainder when x is divided by 26?
25
Let z(f) = 2*f - 2. Let m be z(3). Suppose -2*a - 2 = -2*b, 0 = b + 3*a - a - m. What is the remainder when b is divided by 2?
0
Let k = -20 + 52. Suppose 4*y = 2*y + k. Let p = y + 6. Calculate the remainder when p is divided by 6.
4
Suppose 5*i - 4*n = n + 40, n = 2*i - 12. Suppose -2*l - g + 44 = 0, 6*g + 82 = i*l + 5*g. What is the remainder when 40 is divided by l?
19
Suppose 0 = 7*s - 11*s + 72. Let d = -12 + s. Let o(m) = -3*m - 3. What is the remainder when o(-4) is divided by d?
3
Let f(z) = z**2 - 2*z. Let q be f(3). Suppose q*g - 150 = -3*g. Calculate the remainder when g is divided by 14.
11
Let a be 12/(-2)*(-752)/32. What is the remainder when 58 is divided by ((-24)/18)/(a/(-135) - -1)?
28
Suppose 22*a = 1207 - 63. What is the remainder when 159 is divided by a?
3
Let g(l) = 3*l - 3. Let h(r) = 3*r - 2. Let z(k) = 3*g(k) - 2*h(k). What is the remainder when 13 is divided by z(4)?
6
Let v = 182 + -112. Let g = 55 + -53. Suppose g*s - w - 48 = -5*w, 0 = -3*s - 2*w + 60. Calculate the remainder when v is divided by s.
16
Suppose -2*g + 76 = 30. Suppose c + g = -3*r + 87, -r - 222 = -3*c. Calculate the remainder when c is divided by 25.
23
What is the remainder when 242 is divided by ((-168)/60)/((-77)/330)?
2
Let k(d) = 2*d**2 - 20*d - 390. Let v(u) = 16*u**2. What is the remainder when v(-1) is divided by k(20)?
6
Suppose -5592 - 2976 = -17*u. Calculate the remainder when u is divided by 167.
3
Let y(m) = 3*m**2 - 5*m + 8. What is the remainder when 98 is divided by y(3)?
18
Let y = -209 - -433. Suppose -3*k - 5*g = -271, -5*g + y = 5*k - 221. What is the remainder when k is divided by 22?
21
Suppose 148 = 4*o + 2*l - 4, 0 = -3*o - 2*l + 113. Calculate the remainder when o is divided by 14.
11
Suppose 0 = -3*d + 4*r + 81, -2*d + 2*r - 109 = -7*d. Calculate the remainder when 4/12 - 526/(-6) is divided by d.
19
Suppose 5*v + 48 - 18 = 0. Suppose -4 = 3*n - 31. What is the remainder when (-34)/3*v/4 is divided by n?
8
Let p(i) = 10*i + i**2 + 3*i**2 - 3 + i**3 + 8. Let y be p(-4). Let c = -20 - y. Calculate the remainder when 28 is divided by c.
13
Let f be ((-2)/2)/((-12)/1788). Let h = f - 100. Calculate the remainder when h is divided by 13.
10
Let c(n) = 8*n**2 + n - 1. Suppose -3*i = 4 - 1. Let g be c(i). Suppose g = -3*q + 5*q. Calculate the remainder when 9 is divided by q.
0
Calculate the remainder when 105 is divided by (-7 + 5)/((-3)/141).
11
Let c(x) be the second derivative of -x**4/12 + 17*x**3/6 + 4*x**2 + x. Suppose -22*s = -135 - 173. What is the remainder when c(s) is divided by 17?
16
Let g(z) = -26*z - 354. Calculate the remainder when 1337 is divided by g(-14).
7
Let p be ((-1 - -3)/4)/(2/(-140)). Let m = -22 - p. What is the remainder when 49 is divided by m?
10
Suppose 5*z + 4 = 2*y, 5*z + 6 + 5 = 3*y. Let p = y + 5. Calculate the remainder when 35 is divided by p.
11
Let l = -326 + 331. What is the remainder when 16 is divided by l?
1
Suppose 5*t + 59 = -191. Let d = -41 - t. What is the remainder when 34 is divided by d?
7
Calculate the remainder when 0 + (-1962)/(-20) + 9/(-90) is divided by 26.
20
Suppose 5*y = k - 105, -k + 5*k = -3*y + 420. Let h = -280 - -289. What is the remainder when k is divided by h?
6
Suppose -2*p = 5*d + 2*p - 14, -7 = -2*d - 3*p. Suppose -13 = -n + d. What is the remainder when 44 is divided by n?
14
Let l(n) = n**2 + 3*n - 30. Calculate the remainder when 41 is divided by l(-9).
17
Let f(q) = 6*q**2 - q + 4. Let u(s) = s**2 - s + 1. Let d(k) = f(k) - 4*u(k). Calculate the remainder when 32 is divided by d(2).
4
Suppose 0 = -12*s + 8*s + 88. Calculate the remainder when 106 is divided by s.
18
Suppose 3*u - 75 = -0*w - 2*w, 84 = 3*u + 5*w. Suppose 257 = -2*n + 431. Calculate the remainder when n is divided by u.
18
Let y(n) = n + 13. Let u be y(-5). What is the remainder when (-1)/((40/(-495))/u) is divided by 17?
14
Let h(f) = -f**2 - 7*f - 6. Let g = 57 + -31. Calculate the remainder when g is divided by h(-5).
2
Let d(b) = b**3 - 21*b**2 + 20*b + 25. What is the remainder when 160 is divided by d(20)?
10
Suppose -5*d - 83 = -15*y + 13*y, 4*y - 171 = 5*d. Calculate the remainder when y is divided by 16.
12
Let x(p) = -p**2 + 9*p + 4. Let a be x(9). Suppose 4*h + 212 = a*l, 0 = 4*l - 6*l + 3*h + 105. Calculate the remainder when l is divided by 20.
14
Suppose -146 = 3*w - w. Let c = w - -220. What is the remainder when c is divided by 50?
47
Suppose 5*x - 82*q - 25 = -85*q, -5*q = -5*x + 65. Calculate the remainder when 26 is divided by x.
2
Let g be (-21)/15*-1*25. Suppose g*o - 39*o = -88. What is the remainder when o is divided by 13?
9
Let a = 265 + -217. What is the remainder when 235 is divided by a?
43
Suppose -1785 = -6*f - 1383. Calculate the remainder when f is divided by 14.
11
Suppose 15*z + 934 = 2*d + 17*z, 1859 = 4*d + z. What is the remainder when d is divided by 79?
69
Suppose -2*t - 2*l = -17 - 103, -4*t + 232 = -4*l. Let a = -651 + 654. What is the remainder when t is divided by a?
2
Let o = 238 - 229. What is the remainder when o is divided by 2?
1
Suppose -2*i = -j + 82, 548 = 5*j + 5*i + 183. What is the remainder when j is divided by 13?
11
Suppose -2*t + 2*z + 276 = 0, -2*z = -t - 7*z + 126. What is the remainder when t is divided by 35?
31
Let z = 139 + -131. Suppose 3*u - 156 = 2*r, -3*r + z*r + 260 = 5*u. What is the remainder when u is divided by 11?
8
Suppose -4*q + 291 = 5*k - 849, 5*q = 0. Suppose k = 15*i - 3*i. Calculate the remainder when -2 + 1 + 37 + -1 is divided by i.
16
Let c(j) = 10*j - 41. What is the remainder when 24 is divided by c(5)?
6
What is the remainder when (-6)/(-7) - (-6035)/497 is divided by 5?
3
Suppose 44*y + 4*l - 482 = 42*y, 2*y - l = 502. Calculate the remainder when y is divided by 64.
57
Let w(h) = -22*h + 5. Suppose -2 = 2*r - 4*o, 4 = -4*r - 0*o - o. Calculate the remainder when 107 is divided by w(r).
26
Let u be (-1)/(-5) - (252/20)/(-7). Suppose 0*w - 3*w + u*o + 86 = 0, 2*w = o + 57. Calculate the remainder when w is divided by 16.
12
Let y(l) = -l. Let d(g) = 7*g - 51. Let u(q) = -d(q) - 5*y(q). What is the remainder when u(-18) is divided by 18?
15
Let t = -853 - -978. Suppose 0 = -5*q - 5*a - 87 + 227, -4*a = -3*q + 112. Calculate the remainder when t is divided by q.
29
Let w = -1475 + 1486. Let b(r) = -3*r**3 - 3*r**2 + 4*r + 1. Let n be (-2)/4 + (-10)/4. What is the remainder when b(n) is divided by w?
10
Suppose 4*g = 3*g + 1, 3*p - 4*g = -10. Let x(w) = w**3 - 2*w**2 - 3*w - 2. Let m be x(p). Calculate the remainder when 19 is divided by m/(-8)*(-14)