t m = 650 + -838. Let k = 747 + m. What is the remainder when k is divided by 11?
9
Let x(v) = 3*v - 37. Suppose 42 = i + i - 2*u, -u = 1. What is the remainder when (-2)/7 - (-4473)/49 is divided by x(i)?
22
Suppose -4*v + 10*v - 5*v = 0. Suppose -h + 3938 = 2*w - 2*h, -4*h + 16 = v. Suppose 11*t - w = 2*t. What is the remainder when t is divided by 17?
15
Let b be (-22)/(-4)*(-64)/(-352). Suppose -m - 13*j + b = -11*j, -4*m - 4*j = -16. What is the remainder when 58 is divided by m?
2
Let w = -1786 + 4449. Calculate the remainder when w is divided by 13.
11
Let z be (-60)/(-4)*18/10. Calculate the remainder when 9/z + (-32)/(-3) is divided by 7.
4
Suppose 0 = -172*v + 174*v - 170. Calculate the remainder when 98 is divided by v.
13
Let m = -3690 + 3733. What is the remainder when 101 is divided by m?
15
What is the remainder when 3665 is divided by (156 + -13)/11 + 2*2?
10
Suppose -27*x + 949 + 3371 = 0. What is the remainder when 1439 is divided by x?
159
Suppose 37*j + 280 = 45*j. Calculate the remainder when (-4)/30 - 3137/(-15) is divided by j.
34
Let g(z) = -z**2 + 19*z + 38. Let u be g(17). Suppose -u - 496 = -4*i. Calculate the remainder when i is divided by 25.
17
Let w(b) = -2 - 53*b**2 - 50*b**2 + 14*b - 32 + b**3 + 94*b**2. Calculate the remainder when w(10) is divided by 23.
22
Let q(x) = 62*x**2 - 68*x + 139. Calculate the remainder when q(2) is divided by 8.
3
Let d = -136 + 158. Suppose q - 3*i - 3 = 6, 5*q - 4*i - 78 = 0. Suppose -6*k + 4*k = -6, 3*z - q = -k. What is the remainder when d is divided by z?
2
Suppose 13*v - 2065 - 9405 = -49*v. Let s = 7 - -10. Calculate the remainder when v is divided by s.
15
Let v = -5049 - -9526. What is the remainder when v is divided by 40?
37
What is the remainder when 1346 is divided by 2804*(-5)/(-280) - 7/98?
46
Suppose -17*q = 12*q - 522. What is the remainder when 243 is divided by q?
9
What is the remainder when (13/(-26))/(4/(-4512)) is divided by 8?
4
Let z = -3 + 1. Suppose 214*d - 124*d = -90*d + 6660. Calculate the remainder when d is divided by (2/z)/(2/(-26)).
11
Suppose 0 = 33*j - 66928 + 16108. Suppose 1544*u - j*u - 164 = 0. Calculate the remainder when 110 is divided by u.
28
Let c = 0 - -2. Let f = -755 + 755. Suppose f = -s, -o + s + c*s = -17. What is the remainder when 31 is divided by o?
14
Let u = -16109 - -16150. Suppose 2*p + 4*a - 26 = 0, 4*p + a - 92 = 3*a. Calculate the remainder when u is divided by p.
20
Let t = 616 + -321. Calculate the remainder when t is divided by 13.
9
Suppose 105*c + 207*c - 97149 = 2379. What is the remainder when c is divided by 146?
27
Let u(b) = 227*b + 3. Let k be u(1). Suppose 141*d - 136*d - k = 0. What is the remainder when d is divided by 17?
12
Suppose -40 + 99 = z. Calculate the remainder when z is divided by -445 - -434 - (-62)/2.
19
Let g = -8 - -13. Suppose g*x = 3*q - 1022, 4*q + q - 1725 = 4*x. Calculate the remainder when q is divided by 22.
19
Let g(h) = 89*h - 83. What is the remainder when 222 is divided by g(1)?
0
Let n = 5806 - 5106. What is the remainder when n is divided by 103?
82
Let y = 3991 - 3971. Suppose -c = -112 + 18. What is the remainder when c is divided by y?
14
Let j(q) = 3*q**2 - 48*q - 3. Let w be j(16). What is the remainder when 146 is divided by (-39)/13 + (-159)/w?
46
Suppose -492*q + 36*q + 23256 = 0. Calculate the remainder when 448 is divided by q.
40
Let v = -10740 + 11480. What is the remainder when v is divided by 354?
32
Let o(k) = -5*k - 9. Let h be o(5). Let x = 62 + h. Let p = 33 + x. What is the remainder when p is divided by 9?
7
Let p = 19 - 19. Suppose -5*i + 168 + 12 = p. What is the remainder when i is divided by 19?
17
Let f(d) be the third derivative of d**6/120 + 19*d**5/60 - 19*d**4/24 + 15*d**3/2 + 20*d**2. What is the remainder when 73 is divided by f(-20)?
23
Suppose -8*i + 3*n = -198, 69 = 93*i - 90*i - 2*n. What is the remainder when 376 is divided by i?
25
Suppose 0 = -12*q + 25*q - 2457. Suppose 0 = 2*l - 2*k - 87 - 15, -4*l = k - q. What is the remainder when l is divided by 10?
8
Let v = 2 + 7. Let m be 24/40 - 2/10*-7. Calculate the remainder when v is divided by (((-4)/(-6))/2)/(m/12).
1
Let j = -4 - -14. Let m be ((-18)/4 - -5)*14. Let w(l) = -l**3 + 5*l**2 + 18*l - 10. What is the remainder when w(m) is divided by j?
8
Let l(s) = 116*s - 318. What is the remainder when 2277 is divided by l(3)?
27
Let q be (-80)/(-24)*(-87)/(-2). Let c = q + -132. Calculate the remainder when c is divided by 5.
3
Suppose 7*p + 4*p = 88. Let a(z) = z**3 - 6*z**2 - 3*z - 27. What is the remainder when a(p) is divided by 27?
23
Let j(o) = -368*o - 2557. Calculate the remainder when 3928 is divided by j(-7).
14
Suppose 3*p - 31 - 23 = 0. What is the remainder when 218 - (66/p + (-2)/(-6)) is divided by 43?
42
Let i = -3471 - -3890. What is the remainder when i is divided by 32?
3
Suppose 2*g - 4*g + 21 = 3*d, 4*g - 35 = d. Let k = -19 - -42. Let z = 39 - k. What is the remainder when z is divided by g?
7
Let r be 0 + -3 - (-126)/(-2 - -4). Let t = r + -30. Let s = 41 - 30. Calculate the remainder when t is divided by s.
8
Suppose -3*s - 10 = -41*p + 40*p, 10 = 5*p + 5*s. Suppose p*m + 7 - 137 = -2*t, 0 = 2*m - 2*t - 74. Calculate the remainder when 186 is divided by m.
16
Suppose 1706*m - 1693*m = 22815. Calculate the remainder when m is divided by 54.
27
Let u = -44 + 103. Suppose r = -5*w + 74, 5*w - 29 = 2*r - 27. What is the remainder when u is divided by r?
11
What is the remainder when 3021 is divided by 7/(-84) + (-650)/(-24)?
24
Let x = -9 + 9. Suppose x = 2*f - 11 + 1. Suppose o = -0*o - 2*c + 20, 4*o - 65 = -f*c. What is the remainder when 37 is divided by o?
7
Let v = -7 + 9. Suppose 4*x = 4*c - 176, v*c - 3*x + 4*x = 79. Calculate the remainder when c is divided by 24.
17
Suppose 0 = -272*h + 268*h + 708. Calculate the remainder when h is divided by 81.
15
Calculate the remainder when 0 - (6 - (307 - 1)) is divided by 83.
51
Suppose -626 = -7*m + 32. Suppose 0*y - 2*y = -2*r - m, 0 = 5*y - 2*r - 223. Suppose g + 656 = 9*g. What is the remainder when g is divided by y?
39
Let b = 16591 + -16351. What is the remainder when 1196 is divided by b?
236
Let o = -416 + 255. Let s = o - -202. Calculate the remainder when s is divided by 6.
5
Suppose 3*h + 5*h = 0. Suppose h = 3*a - 9, 2*l + 2*a = 4*a - 92. Let q = l - -45. What is the remainder when q is divided by 2?
0
Let i(o) = 2*o**2 - 4*o - 7. Let j = 26 - 13. Let w(v) = v**2 - 14*v + 8. Let z be w(j). Calculate the remainder when i(z) is divided by 22.
19
Let f(v) = -3*v + 82. Let y be f(12). Suppose -3*q = 2*k - 47, 4*q - y*k - 74 = -43*k. Let c = -121 + 186. What is the remainder when c is divided by q?
14
Let j(l) be the second derivative of l**4/2 + 4*l**3/3 + 13*l**2/2 - l. Let t = -1525 - -1522. What is the remainder when j(t) is divided by 9?
7
Suppose -o = -2*w + 1557, 144*o - 140*o = 2*w - 1542. What is the remainder when w is divided by 42?
25
Suppose -60 = 8*h + 108. Let n be 6/h*(-2 - 5) - -2. Let v(x) = 2*x**2 - 6*x. Calculate the remainder when 20 is divided by v(n).
4
Suppose -4 + 15 = 4*t + 3*j, -5*t - 30 = -5*j. Let o be (-1 + t)*5/(25/30). Let u(v) = -4*v - 40. Calculate the remainder when 27 is divided by u(o).
3
Suppose -3*s + 82 = 4*m, -2*m + 25 = -5*s - 3. Let v(i) = 2*i - 25. Calculate the remainder when 63 is divided by v(m).
11
Suppose -2*l + 8 = -3*l - 5*b, 0 = 2*l - 4*b - 40. Suppose -4*s + 73 = c - 9, 5*c = 2*s + 476. Calculate the remainder when c is divided by l.
10
Let b(f) = -3*f + 2. Let g be b(-1). Suppose -g*y - 496 = -7*y. Suppose 8*n - y = 4*n. What is the remainder when n is divided by 7?
6
What is the remainder when 84 is divided by 2020/120 - (5 + 0/4)/6?
4
Let g = -126 - -116. Let y(m) = -m**2 - 10*m + 13. Calculate the remainder when 55 is divided by y(g).
3
Let p(i) = i + 10. Let w be p(-5). Suppose 5*s = -3*o + 1, -s - 3*s = -w*o + 14. Calculate the remainder when 9 is divided by (6/(-4))/(((-6)/(-8))/s).
1
What is the remainder when (-1 + 21)*(3775/300)/((-1)/(-6)) is divided by 9?
7
Calculate the remainder when 168 is divided by (-398)/(-2985) + 1153/15.
14
Suppose 15*i - 156 = 159. Suppose s - 2 = 0, 5*t - 17 - i = s. Let f = -3 + 17. What is the remainder when f is divide