 by 209?
197
Let k = -3205 + 7177. Suppose 23*p - k = -177. Calculate the remainder when p is divided by 13.
9
Suppose -13*v - 240 = -15*v - 2*v. What is the remainder when 2218 is divided by v?
58
Let j = -313 - -263. Calculate the remainder when (-798)/(-105)*j/(-4) is divided by 16.
15
Suppose -4*a - 18 = -2*o, -2*o = -2*a + 6*a - 42. Suppose 73 + 737 = o*x. What is the remainder when x is divided by 37?
17
Let g = 1649 + -1273. Calculate the remainder when g is divided by 27.
25
Let x(o) = -2*o**3 - 193*o**2 - 90*o + 688. Let a = -55 + 114. What is the remainder when x(-96) is divided by a?
53
Let d = 114 + -110. Suppose 5*u - 136 + 22 = 3*r, d*u + r = 81. Calculate the remainder when u is divided by 6.
3
Let y = -2392 - -3200. Calculate the remainder when y is divided by 45.
43
Suppose -575 = 7*h - 64. Let a = h - -174. What is the remainder when a is divided by 30?
11
Suppose 0 = -54*f + 58*f - 368. Let i = 149 - f. What is the remainder when 102 is divided by i?
45
Let s(d) = -43*d - 219. Let k = -71 - -65. Calculate the remainder when 135 is divided by s(k).
18
Suppose -1820 = -3*b + x, -2*x + 3028 = 5*b - x. Suppose -b = -11*k + 109. Suppose k = 8*f + 25. Calculate the remainder when f is divided by 4.
1
Suppose -16*g = -6872 - 3400. What is the remainder when 15 is divided by ((-2)/(-3))/(g/90 + -7)?
0
Suppose 15*u = -7310 + 20555. Calculate the remainder when u is divided by 13.
12
Let p = 67 + -19. Suppose -8*i - 3*a = -12*i - 105, -2*a - 100 = 3*i. Let b = p + i. What is the remainder when 88 is divided by b?
16
Let o = -83 + 160. Let k(l) = o*l**2 + 2*l + 1 + 97*l**2 - 128*l**2. What is the remainder when k(1) is divided by 14?
7
Let u(k) be the third derivative of -k**4/24 + 47*k**3/6 - k**2. Suppose d + 62 = 4*b, 0 = 4*b + b - 3*d - 81. What is the remainder when u(9) is divided by b?
8
Let f(t) = t**2 - 3*t + 26. Let x be f(18). Suppose 8*j = 3*j + 3*r + x, -10 = 5*r. Calculate the remainder when j is divided by 24.
10
What is the remainder when 35 is divided by 19 + (14 - 3 - 1)?
6
Suppose 5*n = 2*k - 1890, 1143 = -3*n + 5*k - 2*k. Let p = n + 431. What is the remainder when 150 is divided by p?
40
Suppose -5*h + 57 = y, -3*h = -3*y - 2*h + 123. Calculate the remainder when 154 is divided by y.
28
Let c = -3005 - -3061. Calculate the remainder when 163 is divided by c.
51
Let a = -70 - -126. Let l = 34 + -28. Calculate the remainder when a is divided by (27 + -9)*4/l.
8
Let f(t) = t**3 + 5*t**2 - 53*t - 17. What is the remainder when f(-8) is divided by 75?
65
Suppose 3*f + 2*d - 412 + 72 = 0, 4*d - 564 = -5*f. Calculate the remainder when f is divided by 65.
51
Suppose -53*l - 61*l - 7956 = -165*l. Calculate the remainder when l is divided by 22.
2
Suppose -4*x + 12 = 0, 3*b + 2*b = x - 83. Let a(g) = -g**2 - 19*g + 23. What is the remainder when a(b) is divided by 4?
3
Let q = 8939 + -8860. What is the remainder when q is divided by 41?
38
Calculate the remainder when 325 is divided by 4/(-5) + ((-51)/(-15))/(22/374).
40
Let w = -10395 - -14763. What is the remainder when w is divided by 190?
188
Let j = -59 - -66. Let x(w) = -6 - 8*w + j + 9*w. Calculate the remainder when 18 is divided by x(6).
4
Let g = 137 + -261. Let t = -86 - g. Let i(y) = 3*y**3 - 18*y**2 + 21*y - 16. Calculate the remainder when t is divided by i(5).
10
Suppose 0 = 37*b - 28*b - 9. Suppose -3*c = -2*c - 9. Calculate the remainder when c is divided by b.
0
Suppose 4*v + 4*k - 376 = 0, -3*v - 5*k + 196 = -74. What is the remainder when 3399 is divided by v?
99
Let i(v) = 6*v**2 - 7*v - 7. Let p be i(2). Suppose 0 = p*h + 5*n - 213, 5*n = 3*h + n - 186. What is the remainder when h is divided by 21?
3
Suppose 11*d = 2*d + 4365. Suppose -4*u + 125 - 43 = 5*z, -6 = 3*z. What is the remainder when -5 - (d/(-5) + 1) is divided by u?
22
Suppose 5*s - 73 = 651*f - 654*f, -26 = -2*s + 2*f. What is the remainder when 52 is divided by s?
10
Suppose q - 67 = 123. Suppose -4*z = -q - 338. What is the remainder when z is divided by 17?
13
Let c = -30 + 36. Let d(b) = b**3 - 4*b**2 - 8*b - 5. Let a be d(c). Suppose a = 4*m - 113. What is the remainder when m is divided by 9?
6
Suppose 115*r = -8*r + 1968. Calculate the remainder when 652 is divided by r.
12
Let r = -5714 - -6004. What is the remainder when r is divided by 142?
6
Suppose -2*c = 890 - 254. Let g = c - -359. Calculate the remainder when g is divided by 14.
13
What is the remainder when (-26)/(-364) - (-5)/(70/839) is divided by (-2 - -1)/((-2)/84)?
18
Let n(o) = -o**3 - 10*o**2 + 333*o - 56. What is the remainder when 894 is divided by n(-24)?
14
Let p = 131 + -131. Suppose p = 4*q + 2*s - 78, -7*q + 3*s = -3*q - 83. Suppose 111 = 5*t - 284. Calculate the remainder when t is divided by q.
19
Suppose 2*l - 199 = 4*c - 895, -522 = -3*c + 2*l. What is the remainder when 7132 is divided by c?
172
Calculate the remainder when (1/2)/((-3)/(-2)) + 3448/24 is divided by 5.
4
Let k(d) = 5*d**2 - 3*d + 2. Let h(q) = -q**2 - 19*q - 7. Let v be (-5)/50 - (-895)/(-50). What is the remainder when h(v) is divided by k(1)?
3
Let b(p) = p**3 - 2*p**2 + p + 29. Let n(z) = -z**3 + 14*z**2 + 9*z + 90. Let g be n(15). Calculate the remainder when 45 is divided by b(g).
16
Suppose 7*s - 171 = 46. Suppose -k - 2 - s = 0. Let l = k - -47. What is the remainder when 80 is divided by l?
10
Let i = 2355 - 2322. Calculate the remainder when 849 is divided by i.
24
Let h(x) = x**3 + x**2 - x + 25. Suppose -24 = -24*d + 12*d. Calculate the remainder when h(0) is divided by (-10)/((-14)/7) - (-4)/d.
4
Let s(d) = -61*d - 1 + 60*d - 1. Let p be s(-5). Suppose 4*t + l = 60, 2*t = -p*t - 3*l + 75. What is the remainder when 73 is divided by t?
13
Suppose 0 = -4*f - 4*q + 196, -5*f + 202 = -2*q - 57. Suppose -f = -4*o + 29. Suppose -17*d - 36 = -o*d. What is the remainder when 20 is divided by d?
8
Let x be (18/(-8) - -1)/(2/(-8)). Suppose 5 = i, 4*z - x*z + i + 49 = 0. Suppose 5*a - 9 - 41 = 0. Calculate the remainder when z is divided by a.
4
Suppose 48*r - 44*r - 484 = -5*k, -485 = -5*k - 5*r. What is the remainder when 190 is divided by k?
94
Let t(s) = s**3 + 19*s**2 - 42*s + 14. Let f be t(-21). Suppose 0 = -5*c + f*c - 405. What is the remainder when c is divided by 7?
3
Let m = 15011 + -14914. Calculate the remainder when 153 is divided by m.
56
Suppose 0 = 3*c + c - 44. Let m(b) = 19*b - 60. Let d be m(8). Let o = d - 51. What is the remainder when o is divided by c?
8
Suppose 4*h + d = 11, 4 = -h - 2*d + 12. Suppose -5*q = -h*a - 20 - 335, 0 = q - a - 68. Let r = q - -46. Calculate the remainder when r is divided by 30.
29
Let b = 81 + -49. Let m(w) = -14*w**2 - 75*w - 4. Let l = 460 + -463. Calculate the remainder when m(l) is divided by b.
31
Suppose -5*t - 13464 = -7*i + 3*i, 0 = -2*i + 7*t + 6714. Calculate the remainder when i is divided by 14.
11
Suppose 2909*n = 3044*n - 91935. Calculate the remainder when n is divided by 340.
1
Let t(k) = 2*k**2 - 17*k + 140. What is the remainder when t(23) is divided by 91?
79
Let a(n) = 12*n - 8. Let h(o) = -3*o + 11. Let p be h(3). Let w be a(p). Calculate the remainder when (-4)/w + 651/12 is divided by 19.
16
Let n = 381 + -639. Let u = -237 - n. Calculate the remainder when 90 is divided by u.
6
Suppose v - 5*l = -51, 0 = 3*v - 0*v - l + 125. Suppose -4*f = 3*t - 8 + 218, 2*t = -f - 145. Let u = v - t. What is the remainder when 97 is divided by u?
31
Suppose -4*w + 3 = -5*z - 12, 4*z = -3*w - 12. What is the remainder when w/1 + (-7)/((-49)/2128) is divided by 17?
15
Let f(g) = 3*g**2 + 8*g + 7. Let o(w) = 171*w - 1182. What is the remainder when f(-6) is divided by o(7)?
7
Suppose 5*r - 4*s = 194, -r + 12 = s - 16. What is the remainder when 1257 is divided by r?
33
Let p(q) = q**2 - 4*q - 2. Let h be p(5). Suppose -5 = h*n - 77. Let o(m) = 3*m**2 - 26*m + 25. Calculate the remainder when o(10) is divided by n.
17
Let f(p) = -105*p - 746. Suppose 63 + 24 = 3*o. Calculate the remainder when f(-9) is divided by o.
25
Suppose 0 = -3*a + a + 3*m + 28, 4 = -2*m. Suppose 0 = d - 11 - a. Calculate the remainder when ((-102)/8)/(39/(-104)) is divided by d.
12
Let a(d) = -d**2 + 33*d - 9. Let l(b) = 2*b**2 - 99*b + 28. Let x(k) = -11*a(k) - 4*l(k). Calculate the remainder when 112