 when 683 - (-8 - (18 - 12)) is divided by 54?
49
Let z be (6*9/(-162))/((-1)/(-24)). What is the remainder when (-10)/(-40) - 838/z is divided by 32?
9
Suppose -1976 - 418 = -18*r. What is the remainder when 258 is divided by r?
125
Suppose -126*w + 8573 = -2375 - 7070. Calculate the remainder when 554 is divided by w.
125
Calculate the remainder when 718 is divided by 27/(216/(-1568))*-2*(-15)/(-24).
228
Suppose 0 = -6*m + 8*m - 2*z - 438, 3*m - 669 = z. What is the remainder when 479 is divided by m?
29
Suppose 4*j - 7 = 21. Let a = -693 - -683. Let w(z) = z**2 + 9*z + 9. Calculate the remainder when w(a) is divided by j.
5
Let g = -1771 + 2364. What is the remainder when g is divided by 50?
43
Suppose -9*q - 168 = -13*q. Let a = q + -36. Suppose a*w = 9*w - 375. What is the remainder when w is divided by 32?
29
Let k(m) = m**3 + 20*m**2 + 31*m + 25. Let c be k(-18). Suppose 17 = 4*i - c. Calculate the remainder when i is divided by 18.
15
Let m(l) be the first derivative of l**3/3 + 6*l + 9. Calculate the remainder when 29 is divided by m(-3).
14
Let f(q) = 22*q - 601. What is the remainder when 116 is divided by f(31)?
35
Suppose 31*y - 69372 = -57*y - 53*y. Calculate the remainder when y is divided by 13.
11
Suppose 14*d - 10*d = -5*z + 1, 2*d - z - 11 = 0. Calculate the remainder when (-9)/36 - (-506)/8 is divided by (-72)/(-15)*10/d.
3
Let n = -275 + 491. Let z(v) = 2*v**3 - 10*v**2 + 38. Let k be z(4). Suppose 3*f = k, 2*u - 11*f + 8*f - 82 = 0. Calculate the remainder when n is divided by u.
40
Let b = -8436 - -8487. What is the remainder when 1712 is divided by b?
29
Let t(c) = 187*c**2 - 502*c - 2522. What is the remainder when t(-5) is divided by 359?
355
Suppose -6 = -d - 5. Let r be (-1)/(132/(-144) + d + 0). Calculate the remainder when ((-212)/6)/(44/r - -3) is divided by 14.
11
Suppose -5*y - 5*n - 41 = -206, 3*y - 99 = 2*n. Suppose 0 = 35*m - 38*m + y. Suppose 0 = -v + 17. What is the remainder when v is divided by m?
6
Suppose -115*p = -72*p - 3053. Calculate the remainder when p is divided by 59.
12
Suppose -12*a = -7178 - 3538. Suppose -199*y - a = -218*y. Calculate the remainder when y is divided by 26.
21
Suppose -122*b - 210*b + 762795 = 3*b. Calculate the remainder when b is divided by 13.
2
Let p = 12 + -30. Let y = 29 + p. Suppose 0 = y*n - 107 + 8. What is the remainder when 15 is divided by n?
6
Suppose -16 + 82 = 11*n. Let f = 5 - 8. Calculate the remainder when 4*4 - (f - 0) is divided by n.
1
What is the remainder when ((-34)/(-51)*-129)/(1/(-11)) is divided by 463?
20
Let j(y) = 2*y**2 - 53*y + 45. What is the remainder when j(-32) is divided by 17?
15
Let u(t) = -2613*t**3 + 4*t**2 - 8*t - 13. Calculate the remainder when u(-1) is divided by 13.
12
Suppose -1 = -6*u + 161. Suppose 0 = 2*s - 2*c - u + 3, 3*s - 4*c = 32. Calculate the remainder when 76 is divided by s.
12
Calculate the remainder when 1552 + (35/28*12 - (2 + 5)) is divided by 64.
24
Let x = -55 + 57. Suppose 0 = -2*p - 2*c + 96, -p + 36 = -x*c - c. Let g = 49 - p. Calculate the remainder when 8 is divided by g.
0
Let s = 253 - 252. Let l(p) = 69*p - 18. Calculate the remainder when l(s) is divided by 16.
3
Let b(s) = -2*s**2 - 73*s + 280. What is the remainder when 814 is divided by b(-38)?
150
Let b(c) = -3*c + 6*c**2 + 9 - 3*c**3 + 4*c**3 + 4*c**2 - c. Suppose 699*o = 704*o - 25. Calculate the remainder when b(-10) is divided by o.
4
Suppose c + 58066 - 58131 = 0. Calculate the remainder when 15013 is divided by c.
63
Suppose 150*b - 155018 = -9*b + 68536. Calculate the remainder when b is divided by 5.
1
Let y be (-6)/(-4)*16/3. Let q = -5482 + 5486. Suppose q*g + y = 5*g. What is the remainder when 27 is divided by g?
3
Let v be 2750 - (23 + -28 + 1 + -1). Suppose 55*o = 26*o + v. Suppose 4*t - 73 = -9. What is the remainder when o is divided by t?
15
Suppose 5*q - 2*z - 2489 = 0, -31*q = -35*q + z + 1990. Calculate the remainder when q is divided by 245.
7
Suppose 2*k = -32*k + 5610. Let x = 176 - k. What is the remainder when 21 is divided by x?
10
Let q = 5803 + -5780. Calculate the remainder when 1608 is divided by q.
21
Let k(p) = -148 + 26*p - 18*p - p. What is the remainder when k(32) is divided by 39?
37
Let k = -34 + 36. Suppose a + 2*u - 6 = -0*u, -k = -3*a + 2*u. Suppose 0 = a*j - 11 - 51. What is the remainder when j is divided by 11?
9
What is the remainder when 486 is divided by (-156)/520 + (-1946)/(-20)?
1
Calculate the remainder when ((-131)/524)/(1 + 1293/(-1292)) is divided by 13.
11
Let g be 44/(-374) - (-30)/(-34). Calculate the remainder when ((g - -2)*-23)/(-1) is divided by 17.
6
Suppose -4*n = -46 + 10. Let z = 13 - n. Suppose 0 = -53*x + 226 + 1757 + 190. What is the remainder when x is divided by z?
1
Suppose 5*l - 5*v = 42 + 8, 0 = -v - 5. Suppose h + 25 = l*i - 2*h, 0 = -4*i + h + 13. What is the remainder when 6/((-69)/(-33) - i) is divided by 17?
15
Let l = 76 - -86. Suppose -12 + 2 = 5*s, -5*f = 4*s - l. Calculate the remainder when f is divided by ((-40)/5)/8*-21.
13
Let d(y) = 518*y + 102. Calculate the remainder when d(3) is divided by 2.
0
Suppose 5*j = r - 402, 4*j + 154 = -r - 164. Let w = j - -91. Let d(l) = -l**2 + 9*l - 1. What is the remainder when w is divided by d(8)?
4
Suppose 125*v = 8603 + 1272. What is the remainder when 2205 is divided by v?
72
Let y = -30 + 37. Let v = -1 + y. Calculate the remainder when -4*3/(-24) + 66/4 is divided by v.
5
Let c = -77 - -81. Suppose 0 = -5*r, c*y - 4*r - 40 = -3*r. What is the remainder when y is divided by 15*1/((-10)/(-4))?
4
Let t be (-6)/(116/(-30) - -4). Let y be (-3)/(3 + t/10). Suppose -g = -y*g + 23. What is the remainder when g is divided by 14?
9
Let w(m) = -50*m + 170. Let o(n) = -17*n + 57. Let d(c) = -17*o(c) + 6*w(c). What is the remainder when 38 is divided by d(4)?
3
Let a = 924 - -676. What is the remainder when a is divided by 318?
10
Let p(k) = -2*k**3 - 65*k**2 - 363*k - 25. Calculate the remainder when 838 is divided by p(-6).
103
Let q = -56 + 59. Suppose -4*f - 7 = 3*t, -q = 2*t + t + 3*f. Suppose -4*d = -9*d - 2*l + 872, -t*l = -3. Calculate the remainder when d is divided by 45.
39
Suppose -250*q = -254*q + 244. Suppose 0 = -p - 5*t + q, 2*p + 5*t - 4*t = 77. Calculate the remainder when p is divided by 13.
10
Let b(r) = r**2 + 12*r + 41. Let y be b(-16). Let o be 60/y*4438/4. Let q = -380 + o. Calculate the remainder when q is divided by 51.
50
Suppose -2*b + 18 = 12. Suppose 0 = -b*i - 5 + 17. Calculate the remainder when (-2)/(-12) + 35/6 is divided by i.
2
Calculate the remainder when 486 is divided by ((-4 - 6) + -1)*(7 - 4)/(-3).
2
Suppose -8*r + 12*r = 4, -369 = -4*x + 7*r. What is the remainder when x is divided by (-1)/(-3) + (-355)/(-15)?
22
Let h(s) = -34*s - 17. Let f be h(-9). Let v = f + -281. Let z(j) = j**2 - 3*j + 1. What is the remainder when v is divided by z(4)?
3
Suppose -8*m + 671 = -1873. Let t = 332 - m. Calculate the remainder when 16 is divided by t.
2
Suppose 747*m + 12 = 749*m. Calculate the remainder when 82 is divided by (m/(6/17))/3*9.
31
Suppose 8*f + 792 = 10*f + 4*x, 6*f - 2481 = 3*x. Calculate the remainder when 805 is divided by f.
395
Suppose 3*p = 16*p - 390. What is the remainder when p is divided by 15?
0
Let a(z) = -12*z + 82. Let r be a(10). Let k = r - -67. Calculate the remainder when 318 is divided by k.
28
Let u = 1190 + -1037. Calculate the remainder when u is divided by 32.
25
Suppose -4*t - 152*i + 156*i = -192, -5*t = 2*i - 254. What is the remainder when 59 is divided by t?
9
Let j(c) = 2*c**2 + 136*c - 719. What is the remainder when 8238 is divided by j(-73)?
10
Let f be 192 + 3 + 11 + -2. Let o = f + 147. Calculate the remainder when o is divided by 88.
87
Suppose -2*m - 43 = -115. Let g = 244 + -22. Suppose 108 + 22 = 2*v - 4*n, 3*n = -3*v + g. Calculate the remainder when v is divided by m.
35
Suppose 9 - 33 = -t. Suppose -5*j + 0*n + 176 = 4*n, 0 = 3*n - 12. Suppose j = 2*k + 2*v - 5*v, -k + v = -15. What is the remainder when t is divided by k?
11
Let k(l) = -11*l**3 - 6*l**2 + 7*l + 9. What is the remainder when 130 is divided by k(-2)?
12
Let n be -3 - (1 - (44 - -1)). Let i = 43 - n. Suppose 0 = 3*b + i*b - 25. Calculate the remainder when 8 is divided by b.
3
Let j =