e remainder when 4193 is divided by a?
293
Let x = 128 - 107. Let n be (-264)/x + 6/(-14). Let b = n - -31. Calculate the remainder when 50 is divided by b.
14
Let t be (26104/260)/(3/(-5) + 1). Suppose -74 = 3*v - t. Calculate the remainder when v is divided by 8.
3
Suppose 5*p = -2*b + 17, 15*p - 12*p - 12 = -3*b. What is the remainder when 127 is divided by p*2/(-12) - (-111)/6?
1
Let i(l) = l**2 + l - 4. Suppose -629 = 24*y - 4229. Calculate the remainder when y is divided by i(-7).
36
Suppose 2553 = 10*g + 2013. What is the remainder when 2967 is divided by g?
51
Suppose -110*b = -91*b - 25954. Let r = -935 + b. Calculate the remainder when r is divided by 48.
47
Let m(k) = -k**2 - 53*k + 73. Calculate the remainder when m(-37) is divided by 218.
11
Let s = -31791 - -32231. Calculate the remainder when 925 is divided by s.
45
Suppose -4*u + 160 = 2*p, -3498*u + p = -3494*u - 148. Let b(j) = -5*j. Let l be b(-3). Suppose 0 = 2*q + 5 - l. What is the remainder when u is divided by q?
3
Let n(l) = -l**2 - 11*l + 75. What is the remainder when 85 is divided by n(-11)?
10
Suppose 0 = 8*f + 14*f + 352. Let s(u) = -u**2 - 18*u + 82. What is the remainder when s(f) is divided by 31?
21
Let y = 1499 - -8174. Calculate the remainder when y is divided by 16.
9
Let n(h) = -3*h**2 + 142*h - 205. Let p be n(46). Let q = 374 - 689. Calculate the remainder when 0 + -2 + q/p is divided by 10.
3
Let q(j) = -6 + 2 + 2*j**2 + 6 + 5 + 14*j. Let l be q(-7). Suppose -9*o = -l*o - 260. What is the remainder when o is divided by 11?
9
Suppose 45*k = 55*k - 1860. What is the remainder when k is divided by 21?
18
Suppose -5*w + 2*b + 52 + 67 = 0, -2*w = 2*b - 42. Suppose -713 = -20*p + 18*p + 245. Calculate the remainder when p is divided by w.
19
Suppose -36*a + 22*a - 98 = 0. Calculate the remainder when 663 is divided by (6 + a)/(8/(-296)).
34
Suppose 0 = 3*y + 11*y + 280. Let i(k) = 2*k**2 + 36*k - 2. Calculate the remainder when i(y) is divided by 87/4 - 5/(-20).
12
Let s(g) = 14*g + 22. Let m = -233 - -235. Suppose 174 = -4*t + 762. Calculate the remainder when t is divided by s(m).
47
Let b(p) = 4*p**3 + 5*p**2 - 2*p**2 - p**2 + 1 - 2*p**3 - 2*p. Let v(w) = -w**3 - 7*w**2 - 4*w + 16. Calculate the remainder when b(2) is divided by v(-6).
1
Let t(o) = 60*o**3 + o - 1. Let g(r) = -4*r**2 + 27*r - 2. Let j(d) = d**2 + 11*d + 34. Let u be j(-4). What is the remainder when t(1) is divided by g(u)?
12
Let p(m) = -6*m + 35 - m**2 + 36*m - 67 + 2*m**2 - 67. Calculate the remainder when 109*(-1 - (-2)/1) is divided by p(-34).
35
Suppose 8*w - 1835 = 3*w + 2*j, -2*w + 2*j + 740 = 0. Let z = w + -347. What is the remainder when z is divided by 7?
4
Let a be 4/6 - (-6)/18. Calculate the remainder when 52 - (a + -5) - 2 is divided by 14.
12
Suppose 4*x = -5*h + 2227, -17*x - 2 = -16*x. Calculate the remainder when h is divided by 222.
3
Suppose 3347 + 1933 - 1010 = 14*f. What is the remainder when f is divided by 80?
65
Suppose -75*c = 71*c - 48*c - 26264. Let j(o) = o**3 + o**2 - 9*o + 1. Calculate the remainder when c is divided by j(4).
43
Let v(f) = 48*f + 28. Let r(x) = -50*x - 27. Let j(c) = -5*r(c) - 6*v(c). What is the remainder when j(-6) is divided by 14?
13
Let y(f) = f**3 + 7*f**2 - 4*f + 6. Calculate the remainder when y(5) is divided by -4 + (-188)/(-16) + 1 - 49/(-196).
7
Let j = -26 - -23. Let t = 64 + -10. Calculate the remainder when t is divided by (-3)/2*28/j.
12
Let q(a) = -3*a**2 - a + 10. Let z be q(3). What is the remainder when 16 is divided by 120/28 - z/(-70)?
0
Let b = -31 - 30. Calculate the remainder when 24/(-6) - b - 0 is divided by 10.
7
Let r(m) = -m**2 - 50*m + 414. Calculate the remainder when r(-50) is divided by 77.
29
Let b(n) = -n**3 + 4*n**2 + 60*n + 2. Let r be b(-6). Suppose 20*f = -r*f + 2992. Calculate the remainder when f is divided by 46.
44
Suppose -134*i + 91 = 2567 - 13598. Suppose 2*v - 30 = v - 4*y, 5*y - 54 = -2*v. Calculate the remainder when i is divided by v.
17
Suppose 3*h - 169 = -0*h - n, 2*h = -3*n + 108. Suppose 15*j - 18*j = -h. Calculate the remainder when 37 is divided by j.
18
Let g = -2165 - -2349. What is the remainder when 563 is divided by g?
11
Let i = -92 - -94. Suppose 0 = -2*c - 4*n + 10, i*c + 4*n - 11 = -c. Calculate the remainder when c - (3/1 - 55) is divided by 16.
5
Suppose -17*d + 22*d - 2*v - 6966 = 0, 7*v = -21. Calculate the remainder when d is divided by 202.
180
Suppose -4*h - 5*j + 306 = 745, j - 527 = 5*h. Let i = h - -121. Calculate the remainder when 42 is divided by i.
12
Suppose -5*g - 44 = -14. Let n(f) = -11*f + 66. Calculate the remainder when n(g) is divided by 28.
20
Let a(m) = -13*m**2 + 2*m + 1. Let q = 64 - 66. Let d be a(q). Let b = d - -69. Calculate the remainder when 41 is divided by b.
13
Suppose 0 = 4*l - 43 + 171. What is the remainder when 51 is divided by 24/l - (-348)/16?
9
Let g(s) = -186*s + 1514. What is the remainder when 232 is divided by g(8)?
24
Let u(p) = -11*p + 1. Let g be 1 + (0 - 1 - -72). Suppose 0*a + g = -9*a. Calculate the remainder when u(a) is divided by 23.
20
Suppose -2*o = -8, -4*o = -4*s - 0*o + 88. Let b = -54 + s. Let q = b - -52. What is the remainder when q is divided by 3?
0
Let q(g) = 2*g**3 + 39*g**2 + 125*g + 27. Calculate the remainder when q(-15) is divided by 14.
9
What is the remainder when (-4 - 0)/((-37 + 30)/1029) is divided by 120?
108
Let y = 69 + -45. Let v(t) = -2*t + 3. Calculate the remainder when 1/(-2 - -1) + y is divided by v(-5).
10
Let l(k) = -6*k**3 - k**2 + 2*k + 4. Suppose -s + 5*s = -4. Let b = -33 + 51. Calculate the remainder when b is divided by l(s).
4
Suppose 4*z - 2*k - 896 = 2716, -2*z = k - 1814. Suppose -4*b + 1210 = -u, 0 = -3*b + u + u + z. What is the remainder when b is divided by 17?
14
What is the remainder when (39/(-26)*(-10)/(-6))/(13/(-858)) is divided by 81?
3
Suppose -2*a - 5*x = 70, x + 91 = -3*a - 3*x. Let q = a - -35. Suppose -s + 25 + 24 = 4*h, s + 3*h - 46 = 0. Calculate the remainder when s is divided by q.
7
Suppose 0 = 5*o + 3*y - 63, 3*o = 2*y - 9 + 62. Suppose 18*b - o*b - 54 = 0. What is the remainder when b is divided by 3?
0
Let v(j) = j**2 - 5*j - 19. Let a = 3364 + -3299. What is the remainder when a is divided by v(-4)?
14
Let o(z) = -35*z + 30. Let t be o(2). Calculate the remainder when (-3 + t)/(-1 + 0) is divided by 23.
20
Let v = 5622 - 5574. Calculate the remainder when 330 is divided by v.
42
Let h = -3821 - -4125. What is the remainder when h is divided by 11?
7
Let x(m) = m + 24. Suppose 0 = -1259*v + 1260*v, -2*r + 176 = v. What is the remainder when r is divided by x(0)?
16
Let r(c) = -392*c - 1940. Calculate the remainder when 2158 is divided by r(-5).
18
What is the remainder when 1113 is divided by 25*13/(11 - -2)?
13
Let p(j) = -31*j - 113. Let y = 21 - 21. Let n = 6 + y. Calculate the remainder when p(-4) is divided by n.
5
Suppose -2*i + 8 = -6. Suppose 3*o = -3*g - 1578, 373 - 1427 = 2*o + 3*g. Let r = o + 564. What is the remainder when r is divided by i?
5
Suppose 6*x = 2*g + 3*x - 386, -384 = -2*g + 2*x. Suppose -36 = -166*s + 163*s. What is the remainder when g is divided by s?
10
Suppose -2 = 3*b - 3*u - 101, 0 = 5*u - 5. Let h(j) = 7*j**2 - 8*j + 31. What is the remainder when h(5) is divided by b?
30
Let r = 12465 + -3719. Calculate the remainder when r is divided by 36.
34
Let s be (126/8)/(5/20). Let k = 406 - 396. Suppose 3*n + s = k*n. Calculate the remainder when 21 is divided by n.
3
Let x(j) = j**2 - 42*j + 120. Let h be x(3). Suppose h*i - 515 = -5*v, i = 3*v - i - 309. What is the remainder when v is divided by 11?
4
Let k(p) = 4*p**2 + 2*p - 3. Let l(i) = i**3 - 11*i**2 + 8*i + 29. Let t be (1 - 44/32) + 249/24. What is the remainder when k(2) is divided by l(t)?
8
Suppose 0 = 42*k + 320938 - 321484. Suppose 0 = 2*j - 0*j - 1190. What is the remainder when j is divided by k?
10
Suppose 0 = -3*j + 24, 0 = -3*w - 4*j + 434 + 24. Calculate the remainder when 1092 is divided by w.
98
Let q(h) = -216*h**3 + 5*h**2 + 11*h - 4. Let n be q(-2). Suppose 0 = -57*r + 51*r + n. Calculate the remainder when r is divided by 18.
17
Let r(w) = -w**3 + 27*w**2 - 24*w - 58. Let c be r(26). Calculate the remainder when 402 is divided by c/21 + (-2219)/(-49