emainder when (-4)/(-34) + b/493 is divided by 10?
7
Let u(j) = j**2 + 7*j + 8. Let z be u(-6). Suppose -v - 41 = -4*r - r, 2*r + 4*v - 12 = 0. What is the remainder when ((-6)/(-12))/(z/88) is divided by r?
6
Let m(r) = 22*r + 6209. Calculate the remainder when m(-93) is divided by 85.
83
Suppose -277*v + 274*v = -3. Suppose -v + 4 = -i, -4*u = 2*i - 306. Calculate the remainder when u is divided by 9.
6
Let j(k) = -k**3 + 185*k**2 + 200*k - 2522. Suppose -5*o = -41 - 34. What is the remainder when j(186) is divided by o?
7
Let f(c) = 2*c**2 + 113*c + 102. Calculate the remainder when 3494 is divided by f(-56).
44
Suppose 0 = 5*n - 20, 2*m + 2*n = 32 + 38. Let z be (2 - 3) + (24/3 - -15). Suppose -122 = -12*p + z. What is the remainder when m is divided by p?
7
Let a be 2 + 16*1/(-2). Let x be ((-10)/6)/(2/a). Suppose n = x*n + 16, 3*j = 5*n + 86. Calculate the remainder when j is divided by 4.
2
What is the remainder when 196 is divided by 39/(-12) + 309/4?
48
Let u = -20 + 14. Suppose -2*n = 329 - 353. Calculate the remainder when u/9 + 560/12 is divided by n.
10
Let o(z) be the second derivative of z**3/6 - 5*z**2/2 + 2*z + 22. Calculate the remainder when 7 is divided by o(9).
3
What is the remainder when 215 is divided by ((10 - 6) + (-1)/((-5)/(-19)))*305?
32
Suppose 76*v = 2*w + 79*v - 42, 3*w + 2*v = 63. What is the remainder when 205 is divided by w?
16
Suppose -6 = -3*v, 0 = 3*a + 33*v - 30*v - 216. What is the remainder when 6299 is divided by a?
69
Let o = -24 + 25. Let h be 885/90 + o/6. Suppose -h*f = -22*f + 384. Calculate the remainder when f is divided by 11.
10
Suppose -3*r + 2 + 4 = 0. Suppose -r*y = 2*s - 30, -3*y - 2*s + 10 = -6*s. What is the remainder when 12 is divided by y?
2
Suppose f = 5*f - 2*f - 198. What is the remainder when 2273 is divided by f?
95
Suppose 5*w + 2*a = 77, 15 = 5*w - 5*a - 55. Let s = -5 + w. Calculate the remainder when (240/5)/(2/2) is divided by s.
8
Suppose -3*o + 15 = -0*t + t, -t + 3*o = 15. Suppose -4*v - 3*w - 110 = -5*w, t = v + 4*w + 32. Let r = v + 35. Calculate the remainder when 25 is divided by r.
4
Let d(f) = 1057*f**2 - 175*f + 175. Calculate the remainder when d(1) is divided by 505.
47
Let h = 509 + -509. Let d(o) = -o**2 + 20. What is the remainder when 52 is divided by d(h)?
12
Let b(h) = 4*h**2 + 11*h + 5. What is the remainder when (-9 - 2)/(10/(-40)) is divided by b(-4)?
19
Let a be 1*(2 + 19)/3. Suppose -a*x - 12*x = -437. Calculate the remainder when 58 is divided by x.
12
Let u = -2 - -7. Let s = 604 + -604. Suppose 0 = u*p + 5*r - 310, -r + 126 = 2*p - s*p. Calculate the remainder when p is divided by 23.
18
Suppose 3*u - 71 - 175 = 0. Let d = u - 78. Calculate the remainder when 199 is divided by 54 + (-4)/(-3 + d).
49
Let v = -14 - -395. Calculate the remainder when v is divided by 35.
31
Let r(k) = 2*k**2 + 7*k + 1. Let n = -793 + 966. Calculate the remainder when n is divided by r(-5).
13
Suppose 0 = -3*q + 3, t + 8*q - 5*q - 182 = 0. Let w = 228 - t. Suppose 0 = -0*m - 2*m + 20. Calculate the remainder when w is divided by m.
9
Let i(m) = -m**3 + 7*m**2 - m. Let p be i(6). Suppose -4*y + 2*c - 14 = 0, 6*y - y = 5*c - p. What is the remainder when 47 is divided by (-22 - y)*(-8)/6?
19
Suppose 4*k - 136 = -0*k. Suppose 0 = -14*l + 5*l + 72. Suppose l*d - 189 = -13*d. Calculate the remainder when k is divided by d.
7
Suppose -31*s = 25*s - 46*s - 720. Let f = 500 - 144. Calculate the remainder when f is divided by s.
68
What is the remainder when ((-2)/6)/((-31)/5394) is divided by 19?
1
Let d = -574 + 579. Suppose d*s - 86 = 2*f - 11, 4*f + 14 = 2*s. What is the remainder when 26 is divided by s?
9
Suppose -532 = 41*z - 46*z + 2*n, 5*z = -38*n + 692. What is the remainder when 2392 is divided by z?
16
Let q be (3 + -3)/(2*(4 + -3)). Suppose q*p + 2*p + 130 = 0. Let o = 70 + p. What is the remainder when 29 is divided by o?
4
Suppose -65*q - 963 = 39*q - 2627. Calculate the remainder when 18495 is divided by q.
15
Suppose -69*r + 24*r - 44*r = -22339. Calculate the remainder when r is divided by 7.
6
Suppose 0*u + 2750 = 5*u - 5*j, 0 = 5*j + 10. Suppose -u = -46*p + 326. Suppose 52 = l - 0*l. What is the remainder when l is divided by p?
14
Suppose 2*o + i = 64, 5*i + 114 = 2*o + 2*o. Suppose -2*q + 887 = -l, 444 = q - 5*l - 22. Let v = q + -318. What is the remainder when v is divided by o?
30
Let u = 18 - 13. Suppose 0 = -k - u*f - 21, -k + 2*f + 6 = -8. What is the remainder when 123 is divided by (-6)/9*-57 + k?
39
Suppose 203*k - 198*k + 7132 = 2*h, 0 = -4*k. Calculate the remainder when h is divided by 42.
38
Let r(m) = -m**2 + 648*m - 52863. Calculate the remainder when r(552) is divided by (-1)/(1 - 12/10).
4
Let s(l) = -2*l**2 - 81*l + 129. Let f be s(-42). Let n(a) = 3*a**2 - 5*a + 15. Calculate the remainder when 292 is divided by n(f).
22
Let u(b) = -2*b**3 - 4*b**2 - 5*b - 4. Let z be u(-5). Let p = z - 113. Calculate the remainder when p is divided by 18.
4
Suppose 0 = 253*m + 3995 - 35620. What is the remainder when 7247 is divided by m?
122
Let w(l) = -l**2 + 7*l + 16. Let r(q) = q**3 - 3*q**2 - 9*q + 8. Let i be r(5). Suppose i*y + 135 = 18*y. What is the remainder when y is divided by w(7)?
11
Let g be (27 - (-2)/4*4) + -2. Suppose 4 = d - g. What is the remainder when d - 4/4 - -3 is divided by 12?
9
Let t = 5739 - 5664. Calculate the remainder when 442 is divided by t.
67
Suppose -71 = -5*w + s, 5*w + 3*s = -42 + 109. Let l = w - 2. Calculate the remainder when l is divided by (-7)/(-3 - (-5 + 3)).
5
Let y(r) = r**2 + 4*r + 6. Let i be y(-2). Suppose -t + 8 = 3*a, -t - i*a + 6*a - 27 = 0. What is the remainder when (76 - -1) + t + 7 is divided by 10?
7
What is the remainder when 3053 is divided by (-18)/(-81) + 507/27?
13
Suppose 6*q - 2*q = 196. Calculate the remainder when q is divided by ((-144)/80)/(230/(-75) + (-3)/(-1)).
22
Let y be 30/(-9)*(-6)/4. Suppose -y*c + c = n - 38, 4*c + 22 = n. What is the remainder when n is divided by 12?
6
Suppose -17*g - 20*g = -64*g + 3078. Calculate the remainder when 2393 is divided by g.
113
Suppose 0 = -83*k + 86*k - 3*g - 201, -3*k + 197 = -g. What is the remainder when 1937 is divided by k?
52
Let p(s) be the first derivative of s**4/4 - 13*s**3/3 - 2*s**2 - 7*s - 11. Let l be p(13). Let q = l - -71. Calculate the remainder when 59 is divided by q.
11
Suppose -f = -2*o - 319 - 115, 4*f - 1658 = -5*o. Calculate the remainder when f is divided by 147.
128
Suppose 2*m - 3*m = 24. Let v be ((-1 + 3)/(-6))/(2/(-156)). Let y = m + v. Calculate the remainder when 7 is divided by y.
1
Let p = -3793 - -4053. What is the remainder when 356 is divided by p?
96
Let a(u) = 4*u - 11. Suppose 0*l + 3*l + 2*n = 545, 5*n + 875 = 5*l. Calculate the remainder when l is divided by a(14).
44
Suppose 948 = 9*k - 3*g, 49*k = 46*k - 3*g + 300. What is the remainder when 709 is divided by k?
85
What is the remainder when 111 is divided by -221 + 208 - (-42 + 1)?
27
Suppose 63*p + 3035 + 15885 = 173*p. What is the remainder when 261 is divided by p?
89
What is the remainder when 1 - ((-26708)/24 + 7/(-42)) is divided by 162?
142
Suppose 4*j = 3*k - 170, 4*k - j = 7*k - 190. What is the remainder when 1733 is divided by k?
59
What is the remainder when 886 is divided by 13*2/26*(39 + -2)?
35
Suppose 11*g + 2368 = 3*g. Let n = g - -347. Calculate the remainder when 191 is divided by n.
38
Suppose 291 + 1739 = 7*k. Suppose -2*u + k = 2*p, -4*p = 5*u - 104 - 471. What is the remainder when p is divided by 19?
17
Calculate the remainder when 839 is divided by ((-2982)/(-142))/((-3)/(-2)).
13
Suppose 237*j - 284*j + 53768 = 0. Calculate the remainder when j is divided by 75.
19
Suppose 13*z - 20 - 80 + 22 = 0. What is the remainder when 2507 is divided by z?
5
Let x(d) = -4*d**2 - 39*d + 148. What is the remainder when 44 is divided by x(-12)?
4
What is the remainder when (((-856700)/15)/(-26))/((-6)/(-9)) is divided by 32?
31
Suppose 1059*b = 1049*b + 170. Let y(x) = -2*x - 4. Calculate the remainder when b is divided by y(-6).
1
Let q = -97 + 108. Let m(g) = 4*g**2 - 7*g - 38. What is the remainder when m(q) is divided by 53?
51
Calculate the remainder when (120/(-80))/(5/(-540)) is divided by 37.
14
Suppose 14*x - 8 = 18*x. Ca