w = -2 - -7. Let b be -56 + 63 + -2 + -3. Suppose 0 = -n + b*n - 3. What is the remainder when w is divided by n?
2
Suppose 0 = 2*x - 2*t - 2 - 2, 19 = 2*x + 3*t. What is the remainder when 3 - x - ((-6)/3 + -77) is divided by 20?
17
Let u = -24 - -58. Suppose -2*a + 0*a = -u. Suppose 0 = 16*b - 15*b - 5. What is the remainder when a is divided by b?
2
Suppose 242*z + 12558 = 268*z. Calculate the remainder when z is divided by 25.
8
Let x(v) be the first derivative of v**3 + 2*v**2 + 3*v + 34. Let t be x(-5). Suppose 0 = 2*y - t + 8. Calculate the remainder when y is divided by 13.
12
Let u = 75 - 69. Suppose 18 = 4*q + b, 4*q - u = -2*b + 10. Suppose -4*o + h + 127 = 0, -4*h - h = -q*o + 155. What is the remainder when 125 is divided by o?
29
Let q(c) = -11*c + 459. What is the remainder when q(-9) is divided by 56?
54
Suppose -p + 2366 = 2039. What is the remainder when p is divided by 62?
17
Suppose -29*z + 278 = -41. Calculate the remainder when 31 is divided by z.
9
Let t = -2439 + 2545. Calculate the remainder when t is divided by 22.
18
Let m = -14127 - -14151. Suppose 0 = -2*q + 4 + 14. What is the remainder when m is divided by q?
6
Let i(q) = -3*q - 4. Let a be i(-8). Suppose 17*j + 66 = a*j. What is the remainder when 60 is divided by j?
16
Suppose 0 = 5*b - i - 2, b + 6*i - 2*i - 13 = 0. What is the remainder when 384 is divided by 4*((-129)/(-12))/b?
40
Suppose -7*u + 5432 = 812. Suppose -u - 81 = 13*n. Calculate the remainder when 148 is divided by n*((-15)/(-10) - 13/6).
34
Suppose 69 = -7*k + 419. Suppose -49*b + k*b = 4. What is the remainder when b + (-29)/1*-2 is divided by 32?
30
Suppose -2*z = 3*n + 2, 0 = 2*z - 2*n + n - 6. Suppose 4*m - 2*m + 8 = 5*x, -z = -3*m + 4*x. What is the remainder when -1*4*-1*44/8 is divided by m?
4
Let h be (-21)/42*-3*4. What is the remainder when 124 is divided by 19 + (-3 - 32/(-4) - h)?
16
Let w(f) = 24*f**2 + 39*f**2 - 65*f**2 - 45*f - 15. Let d = 11 - 2. Calculate the remainder when d is divided by w(-22).
2
Suppose 0 = y + 3*n - 169, 0 = -5*y - 765*n + 768*n + 683. Let g = 236 - 164. What is the remainder when y is divided by g?
70
Let j(r) = -27*r**2 + 3*r + 2. Let h be j(-1). Let b = 21 + h. Let w = b + 19. Calculate the remainder when 22 is divided by w.
10
Suppose 3*u = -2*h - 2*h + 277, -u - 265 = -4*h. Let l = -20 + 20. Suppose l*y - 56 = -4*y. Calculate the remainder when h is divided by y.
11
Suppose -2*w + 3*t + 24 = 0, -3*w - 5*t - 106 = -123. What is the remainder when (-762)/(-5) - 4/10 is divided by w?
8
Let g(b) = 1183*b - 365. What is the remainder when g(1) is divided by 14?
6
Suppose 59*y + 168 = 71*y. What is the remainder when 5333 is divided by y?
13
Let j be 6/(-4)*(-104)/39. Calculate the remainder when 102 is divided by j/20*(-650)/30*-3.
11
Let w(g) = 5*g**3 - 29*g**2 + 26*g + 170. Calculate the remainder when w(10) is divided by 17.
14
Let i be ((-13)/(-13))/((-2)/(-4)). Suppose -z - 2*x = 27 - 113, 3*x = -i*z + 174. Calculate the remainder when 168 is divided by z.
78
Let q be (-406)/(-154) + (-12)/(-33). Suppose 8*c + 2*p - 249 = q*c, -3 = p. Calculate the remainder when c is divided by 36.
15
Let h(i) be the third derivative of -i**5/60 - 11*i**4/24 - 5*i**3/2 - 13*i**2 - 9. What is the remainder when 30 is divided by h(-3)?
3
Let q be ((-186)/(-4) - -3) + (-9)/(-6). Let i = q - 51. Suppose 2*f + i*f - 4 = -5*t, -5*f + 5*t = -10. Calculate the remainder when f is divided by 1.
0
Suppose 3*m - 12558 + 2856 = c, 0 = -5*m + 3*c + 16178. Calculate the remainder when m is divided by 49.
47
Suppose 2076 = 2*q - 744. Calculate the remainder when q is divided by 13.
6
Suppose 0 = -5*q - 5*d + 3570, -31*q - 4*d + 3568 = -26*q. Calculate the remainder when q is divided by 14.
12
Suppose -616*r = -280*r - 300*r - 180. Suppose 5*t + 266 = 4*w, 5*w - 188 = 2*w - 2*t. Calculate the remainder when w is divided by r.
4
Suppose -3*z + 16 = -5*d + 7*d, 0 = 2*z + 3*d - 14. What is the remainder when 55 is divided by (-4)/(z + (-175)/42)?
7
Suppose -337*b = -360*b + 6210. What is the remainder when 659 is divided by b?
119
Let p(b) = 505*b - 1373. Calculate the remainder when p(4) is divided by 22.
9
Let b = 168 + 30. Let u(w) = 2*w**2 + 35*w - 674. What is the remainder when b is divided by u(12)?
28
Suppose s + 16 = -5*d + 29, 4*d + 5*s - 23 = 0. Suppose -3*o + 68 = o. Calculate the remainder when o is divided by d.
1
Let y be (-80)/(-6) - 52/39. Suppose -y*d = -5*c - 8*d + 110, 75 = 5*c + 3*d. Calculate the remainder when -12*(26/(-6))/1 is divided by c.
16
Suppose -o - 3*x + 1286 = 7, -4*o + 2*x = -5102. Calculate the remainder when o is divided by 7.
2
Suppose 0 = -15*r + 30*r + 1110. Let p = r + 118. What is the remainder when 306 is divided by p?
42
Suppose -5*v = -0*v - 160. Suppose 55 - v = b. What is the remainder when 77 is divided by b?
8
Let n(q) = 65*q**2 - 25*q + 26. Calculate the remainder when (248/(-3) - 0)/(2/(-3)) is divided by n(1).
58
Suppose -45*i + 41*i = -5*g - 42512, 0 = 3*i + g - 31846. Calculate the remainder when i is divided by 13.
10
Suppose 49*l - 43*l = -91*l + 10573. What is the remainder when 1960 is divided by l?
107
Suppose o + o = -328. Let m be -12 + (-141 - -13) + 1. Let p = m - o. What is the remainder when 148 is divided by p?
23
Let h(a) = -a**3 - 12*a**2 - 20*a + 12. Calculate the remainder when ((-1)/5 + 1)*(56 + 4) is divided by h(-10).
0
Suppose -5 = 3*h + i, -h + 4*i - 98 + 118 = 0. Suppose h = 12*c - 13*c + 31. What is the remainder when 836 is divided by c?
30
Suppose -36907 = -59*k - 108*k. Calculate the remainder when 13478 is divided by k.
218
Suppose 0*d + 5*d = -2*s + 31, 44 = 4*s + 4*d. Suppose 102 = s*y - 5*y. Suppose y = 4*x - 94. What is the remainder when x is divided by 12?
8
Suppose -19*t + 92 = 5 + 11. What is the remainder when 169 is divided by t?
1
Suppose 2*q - 570 = -x, 5*x + 2*q = -0*x + 2794. What is the remainder when x is divided by 209?
138
Suppose -t = -s + 249, -5*s - 5*t + 802 + 483 = 0. Let o = -74 - -90. Calculate the remainder when s is divided by o.
13
Suppose 40*g - 89*g = 107*g - 13572. What is the remainder when 373 is divided by g?
25
Let n = 366 + -240. Suppose n + 129 = 17*m. Suppose 2*a = 3*a - 73. Calculate the remainder when a is divided by m.
13
Suppose 2590*c - 243 = 2581*c. What is the remainder when 53 is divided by c?
26
Let f(g) = g + 8. Let w be f(-9). Let l = 995 + -956. Calculate the remainder when l is divided by (8*1*-1)/w.
7
Suppose 104 = 3*k - i, -1 = -i + 3. Let h be (-553)/(-63) + 8/k. Calculate the remainder when h/(-3)*1 - -29 is divided by 14.
12
Suppose 53*r + 185*r - 2349 = -23*r. Let d = 49 - 26. Calculate the remainder when d is divided by r.
5
Suppose c - 630 = -4*c - 5*t, 456 = 4*c - 4*t. Calculate the remainder when 2878 is divided by c.
118
Suppose 10*h - 9*h - 8 = 0. Let k(f) = 5*f**2 - 27*f + 11. What is the remainder when k(6) is divided by h?
5
Suppose 339 = -7*w - 46. Calculate the remainder when 243 is divided by ((-1)/(-10) - (-33)/w)*-122.
60
Suppose 0 = 15*u + 379 - 3019. Suppose -2*o = -6*o + u. What is the remainder when ((-387)/12)/3*(-5 - 7) is divided by o?
41
Let t = 856 - 850. What is the remainder when 2/12 - t/((-108)/4029) is divided by 5?
4
Let z = -13 + 16. Suppose 29 = z*k + 17. Suppose k*d - 8*d + 108 = 0. Calculate the remainder when 75 is divided by d.
21
Let c = -31154 + 31238. Calculate the remainder when 20915 is divided by c.
83
Let j be 90 - (-4)/(-2) - -1. Suppose -j*x = -60*x - 1015. What is the remainder when 118 is divided by x?
13
Let c(t) = -2*t**2 - 24*t + 8. Let x be c(-11). Let r = x - 25. Calculate the remainder when r is divided by 2*(0/1 + 1).
1
Let y = 416 + -286. Suppose -3*w + 4*h + 45 = 0, 0*h = -4*w + 2*h + 50. What is the remainder when y is divided by w?
9
Suppose 2*m + 767 = c, -26*m + 16*m + 1450 = 2*c. Calculate the remainder when c is divided by 149.
10
Calculate the remainder when (-2)/24 - ((-134)/24)/((-50)/(-7550)) is divided by 280.
3
Let y(l) = l**2 + 3*l - 4. Let x be y(3). Let v = x + -10. What is the remainder when -11 - -20 - (-1 - -12) - -41 is divided by v?
3
Let t(u) = -u**2 - 15*u - 1. Suppose -x - 28 = 4*i + 18, -3*x + 18 = -i. Suppose -3*l + 25 = -2. Calculate the remainder when t(i) is divide