Let d be (-38)/(-209) - (-2)/(22/31). Suppose 14 = d*n - 2*z - 33, -3*n = 4*z - 23. What is the remainder when 24 is divided by n?
11
Let a be 66/55*((-6)/(-4) + 1). Suppose -4*g + 0*o - 24 = -a*o, -o = -5*g - 19. Let x = 10 - g. Calculate the remainder when 23 is divided by x.
10
Suppose o = 3*i - 103, -i - o = -165 + 120. What is the remainder when 1072 is divided by i?
36
Let c(s) = s**3 + 5*s**2 - 192*s - 233. Calculate the remainder when 6207 is divided by c(-16).
20
Suppose y - 2*d - 7 = 3*d, 0 = -5*d - 5. Suppose -5*i + 7*p - y*p + 105 = 0, 0 = -5*i - 2*p + 70. What is the remainder when 27 is divided by i?
11
Let k = 23441 - 23427. What is the remainder when 2475 is divided by k?
11
Suppose 15*a - 14*a = -38. Let t = a - -53. Calculate the remainder when (-278)/(-6) - 0 - (-10)/t is divided by 27.
20
Let x = 4229 + -1606. What is the remainder when x is divided by 25?
23
Let d(a) be the first derivative of -8*a**2 - 31*a - 29. Suppose -29 = -4*w + t, -3*t - 11 = -2*w - 6*t. Calculate the remainder when d(-4) is divided by w.
5
Let q = 21511 + -20429. What is the remainder when q is divided by 122?
106
Suppose -3*y + 4*j + 898 = 0, -9*j + 6*j = y - 295. Let m = y + -254. What is the remainder when 127 is divided by m?
39
Let u = 1282 + -1110. Suppose 139*f - 135*f = 104. What is the remainder when u is divided by f?
16
Suppose f + 5*w + 14170 = 11*f, -4*f + 5688 = 3*w. What is the remainder when f is divided by 15?
9
Suppose -111050 + 39146 = -214*z. What is the remainder when z is divided by 8?
0
Let p = 541 + -362. Suppose -3*q = 5*m - 97, 5*q - 183 = -m - 2*m. What is the remainder when p is divided by q?
23
Suppose -3*k - 1168 = -i, 3*k - k - 4*i = -792. Let r = k + 415. Let j(g) = -106*g**3 + 1. What is the remainder when j(-1) is divided by r?
26
Suppose 3*s = 4*s - 3*s. Suppose s = -6*y + 14 + 10. Suppose -y*t - 5 = -5*t. Calculate the remainder when 18 is divided by t.
3
Suppose 26 = -3*z - q + 100, 0 = -z + 3*q + 38. What is the remainder when z is divided by ((2/(-28))/(8/96))/(63/(-294))?
2
Let a(b) = 2*b**2 + 84*b - 1664. What is the remainder when a(15) is divided by 22?
2
Suppose 1194*u - 1189*u = -4*a + 502, -3*a + 2*u = -388. Calculate the remainder when a is divided by 22.
18
Suppose 242*d - 235*d - 126 = 0. Suppose -26 = -4*o + d. Calculate the remainder when 96 is divided by o.
8
Let v = -13181 - -13946. What is the remainder when v is divided by 84?
9
Suppose -4*o + o = -90. Suppose 5*y = 5*x - 20, 0*x - 3*y - 12 = -4*x. Suppose 4*n - 34 - 194 = x. Calculate the remainder when n is divided by o.
27
Suppose -4*x + 6*x + 2 = -t, x - 34 = 3*t. Calculate the remainder when 83 is divided by (t - 240/(-50))*5/(-2).
5
Let t(q) = 2999*q - 11 - 55 + q**2 - 2993*q. Calculate the remainder when t(-17) is divided by 52.
17
Suppose -377 = -9*h - 98. What is the remainder when 2911 is divided by h?
28
Let b = -405 - -620. What is the remainder when b is divided by 76?
63
Suppose -5*x = 5*j - 760, 22*x = 2*j + 19*x - 274. Calculate the remainder when j is divided by 28.
6
Suppose 12484 = -18*h + 3718. Let z = h + 636. What is the remainder when z is divided by 51?
47
Suppose -3*t = 5*c - 1973, -21*t = -5*c - 18*t + 1967. Let k = -312 + c. What is the remainder when 819 is divided by k?
81
Suppose t = 5*z + 49, -75*t + 4*z = -80*t + 42. What is the remainder when 29 is divided by t?
1
Suppose 3*w - 2*t = -19, 3*w - 4*w - t = -2. What is the remainder when 58*(3 + 6/w - -3) is divided by 62?
46
Let j(m) = 3*m**2 + 6*m - 8. Calculate the remainder when j(-6) is divided by 38/133 - ((-165)/(-21)*-2 - 3).
7
Let s(y) = -85*y - 249. Let g be s(-3). Let c(b) = 5*b**2 - 11*b + 86. Calculate the remainder when c(g) is divided by 13.
5
Let p = 203 - 200. Suppose 0 = -2*q - 5*b + 578, b + 566 = -q + p*q. What is the remainder when q is divided by 19?
18
Let g(x) = 53*x**2 + 519*x + 14. What is the remainder when g(-11) is divided by 13?
3
Suppose 0 = -6*u - 28 - 2. Let l(s) = 2*s**2 + 11*s + 1. Let h(d) = -d**2 - 6*d. Let o(g) = 5*h(g) + 3*l(g). What is the remainder when o(u) is divided by 8?
5
Let l = -27 - -47. Let i = 84 - 84. Suppose 91*a - 88*a - 159 = i. Calculate the remainder when a is divided by l.
13
Let m = 129 + -103. Suppose -3*v - 2*y + 6 = 1, -2*v = -4*y - 14. Suppose -4*p + 195 = v*d, -2*p + 3*d = -24 - 87. What is the remainder when p is divided by m?
25
Let o = 49 - 48. Let m be (-9)/(27/(-12)) + 4. Suppose -10*z + m*z + 20 = 0. What is the remainder when z is divided by o?
0
Suppose -178*z = -187*z + 108. Calculate the remainder when 71 is divided by z.
11
Let u be 45/6*((-69)/(-9) + -5). Suppose -10*r = -5*r - u. Calculate the remainder when 10 is divided by r.
2
Let v = -8 - -33. Let z(l) = -31 + 28 + 5*l**2 - l**2 - 3*l + 8*l. What is the remainder when z(-5) is divided by v?
22
Let k = -167 - -215. Suppose k = 63*a - 57*a. Calculate the remainder when 68 is divided by a.
4
Let f = 192 - 187. Suppose 0 = -5*p - 10, -f*p = -i - 2*i + 58. What is the remainder when 53 is divided by i?
5
Let w(d) = d**3 - 6*d**2 - 5*d - 3. Suppose 3*r + 87 = -99. Let t = -54 - r. What is the remainder when w(t) is divided by 11?
8
Suppose 46*o - 2725 = 3715. Calculate the remainder when 829 is divided by o.
129
Suppose 4*o - 60 = -2*r, 33*o - r - 78 = 29*o. Let b(w) = -26*w - 1. Let v(u) = -1. Let f(g) = -b(g) - 2*v(g). What is the remainder when f(4) is divided by o?
17
Let f(m) = m**3 - 12*m**2 - 45*m + 149. Calculate the remainder when 161 is divided by f(15).
12
Let i(c) = 43*c + 265. Suppose 3*r = 58 + 35. What is the remainder when r is divided by i(-6)?
3
What is the remainder when 534 is divided by ((-6)/4)/((-36)/1320)?
39
Suppose -4*i = 6*i + 90. Let t be (-48)/i - (-2)/(-6). Suppose 5*a + 0*a - 105 = t*x, -x = -5*a + 113. What is the remainder when a is divided by 7?
2
Suppose 10*b - 12*b - 888 = 0. Let t = 470 + b. Calculate the remainder when 6/(-9) - 456/(-9) is divided by t.
24
Calculate the remainder when 2 + 1021 - (86 + -71) is divided by 161.
42
Let j = -69 - -100. Suppose -q = 2*q + 3*f - 24, -4*f = -5*q + 67. Suppose 321 + 647 = q*t. Calculate the remainder when t is divided by j.
26
Suppose -4*g + 44 = -4*r, 3*g + 11*r = 6*r + 9. What is the remainder when 2*(1 + 1 - -21) is divided by g?
6
Calculate the remainder when 471 is divided by 945/6 + -12 - 2*1/4.
36
Suppose 290*k - 302*k = -372. Calculate the remainder when k is divided by 31.
0
Let b = 38 - 36. Suppose -3*d = b*x - 56, -d - 2*d + 52 = x. What is the remainder when 30 is divided by d?
14
Let n(y) = -y**2 + 4*y + 33. Let i be n(7). Suppose -2*c + 0*c + 564 = x, 4*c = i. Calculate the remainder when x is divided by 80.
78
Suppose 0 = -6*t - 2*j + 54640, 45528 = -9*t + 14*t + j. What is the remainder when t is divided by 23?
19
Let i = -1842 - -1954. What is the remainder when i is divided by (-2 - -9)/(1/5)?
7
Let i(t) = -2*t**2 + 19*t + 356. What is the remainder when 125 is divided by i(18)?
25
Let x(h) = -6*h + 57. Let b be x(9). Calculate the remainder when 273 is divided by (15/10)/(b/50).
23
Let x(a) = 457*a**2 - 10*a + 8. Let t be x(1). Let l = t + -361. What is the remainder when l is divided by 34?
26
Let x = 392 + -399. Let c = 2 - 10. Calculate the remainder when (x - -5)*2/(c/62) is divided by 12.
7
Let v(t) = 2*t**2 + 9*t + 14. Let n be v(-10). Let o(w) = w**3 + 4*w**2 - 2*w - 2. Calculate the remainder when (42/70)/(1 - n/125) is divided by o(-3).
10
Let t(l) = -11*l + 5556. What is the remainder when t(9) is divided by 43?
39
Suppose -382 = -5*y + 2*z, -1069*y + 1070*y + 5*z - 98 = 0. Suppose 0*c - 105 = -5*g - 3*c, 0 = 2*c - 10. Calculate the remainder when y is divided by g.
6
Let x(c) = 104*c + 5951. Calculate the remainder when x(-51) is divided by 218.
211
Let y = -855 + 866. Suppose -7*m + 52 = -y. Calculate the remainder when (-4)/((-10)/8 + 1) is divided by m.
7
Let o(i) = -i**3 - 22*i**2 - 6. Let k be o(-22). Calculate the remainder when 48 is divided by -5*18/k + -2.
9
Let g = 164 + -148. Let r(v) = -5*v**2 + 82*v - 16. Calculate the remainder when 205 is divided by r(g).
13
Let u(s) be the second derivative of -55*s**3/6 - 401*s**2/2 + 152*s. What is the remainder when u(-8) is divided by 23?
16
Let n(i) = 3*i**2 - 80*i + 456. Su