 is the remainder when a is divided by 6?
4
Let l(j) = -j**3 + 4*j**2 - 2*j + 2. Let n be l(2). Let f(c) = -c**2 + 8*c - 2. What is the remainder when (-398)/(-6) - (-8)/12 is divided by f(n)?
7
Let z = -8 + 53. Suppose -9 = 3*f, -2*j + 34*f = 39*f - 519. What is the remainder when j is divided by z?
42
Suppose 0 = -i - 0 - 3. What is the remainder when 458/i*4/((-8)/3) is divided by 29?
26
Let x = 3319 - 2748. What is the remainder when x is divided by 11?
10
Let d(s) = 2*s**2 + 35*s - 86. Let k be d(-27). Suppose -6*i = -557 - k. Calculate the remainder when i is divided by 24.
20
Suppose -54*m = -50*m - 16. Let w be ((-16)/(-6))/m*87/2. Suppose 5*s - w = 16. Calculate the remainder when 26 is divided by s.
8
Let d be ((-8)/(-4) - -12) + -5. Let i = d - -76. What is the remainder when i is divided by 43?
42
Suppose 23 + 17 = 5*k. Let a = -9597 + 9598. Calculate the remainder when k is divided by a.
0
Let x = 62 + -49. Suppose -12*u + 11*u + 52 = 0. Suppose 199 - u = 3*w. What is the remainder when w is divided by x?
10
Let n(l) = -l**3 - l**2 + 3*l. Let k = -187 + 184. Suppose -s - 3*z = -2*s + 18, -z = -2. Calculate the remainder when s is divided by n(k).
6
Suppose 0 = -d + 4*r - 10, -d = 2*r - 8 - 0. Suppose -z + 8 = d. Calculate the remainder when 87 is divided by z/(-4)*((-144)/(-4))/(-3).
15
Let d(o) = -o**3 - 3*o - 2. Let m = -18864 - -18882. Calculate the remainder when d(-3) is divided by m.
16
Suppose -5*o - 13*q + 417 = -16*q, 150 = 2*o + 3*q. What is the remainder when 727 is divided by o?
79
Let j be (-2)/13 - (-138144)/208. Let w = j + -625. Calculate the remainder when 271 is divided by w.
37
Let j = -7271 + 7284. What is the remainder when 3169 is divided by j?
10
Suppose -794*c = 792*c - 1576*c - 6340. Calculate the remainder when c is divided by 36.
22
Let i be 7 + (-4 - 15/(-5)). Suppose j - i = -4. Suppose j*d + 27 = 5*d. Calculate the remainder when 35 is divided by d.
8
Let x = -219 + 205. What is the remainder when 68 is divided by (-13360)/(-280) + 10/x?
21
Suppose -57*a + 516 + 208 = -587. Calculate the remainder when 925 is divided by a.
5
Let t = -2410 - -2613. What is the remainder when t is divided by 19?
13
Suppose -2*s = 3*s + 3*q + 15, -4*q = s + 20. Let h(r) = 4 - 1 + 2*r + 0 + s. Calculate the remainder when h(6) is divided by 8.
7
Suppose -200 + 227 = 3*m. Calculate the remainder when 12 is divided by (-3)/27 - (-19)/m.
0
Let d(l) = 3*l + 55. Let j be d(-11). Suppose -j - 11 = -3*o. Calculate the remainder when 20 is divided by o.
9
Suppose -5*p + 1 = -14. Suppose 0 = 4*o - 3*w + w - 40, -p*w - 10 = -o. Calculate the remainder when 39 is divided by o.
9
Let p = -236 - -346. Suppose 5*z + 98 = -3*o + 4*o, 2*z = -3*o - 29. Let y = 42 + z. Calculate the remainder when p is divided by y.
18
Calculate the remainder when 1258 is divided by (-193)/(-6) - ((-200)/60 - 21/(-6)).
10
Suppose -48*y + 46*y + 139 = n, -3*n + 327 = -4*y. Calculate the remainder when 717 is divided by n.
112
Suppose s - 123 = -768. Let t = 652 + s. What is the remainder when 26 is divided by t?
5
Let z = 331 - 184. Suppose 0 = 8*m + 4*m - 384. What is the remainder when z is divided by -6*((-40)/m)/(2/8)?
27
Let b(l) = -330*l - 177. Calculate the remainder when b(-2) is divided by 156.
15
Let d be 6 - (1 - 12/(-6)). What is the remainder when 3/(-2)*(-63 - d) is divided by 26?
21
Let a = 41601 + -41507. Calculate the remainder when 997 is divided by a.
57
Suppose -4*y - 3*t + 1 = y, 1 = -4*y - 3*t. Let m = -89 - -92. Suppose -4*s + 61 = -m*w + 2*w, 5*s + y*w = 73. What is the remainder when 27 is divided by s?
12
Let l = 28 + -40. Let w be (-12 - l)/(1/(-2)*-2). Suppose w*t + n - 97 = -4*t, 2*t + 4*n = 66. What is the remainder when t is divided by 9?
5
Suppose -108 = -3*o - 30. Suppose -4*r = 11*r + 60. What is the remainder when o is divided by (-361)/(-38) + 0 + 2/r?
8
Let o = 12717 - 12020. Calculate the remainder when o is divided by 186.
139
Let a = 17620 + -17571. Let z(r) = -24*r**3 - r**2 - 2*r - 3. What is the remainder when z(-2) is divided by a?
42
Let z(k) = 7*k + 3. Let c = -3 - -98. Calculate the remainder when c is divided by z(3).
23
Let y be (25 - -11 - 6)/1. Let i be ((-4)/(-3))/((-2)/(-3)). Suppose i*g - 24 = 3*x + y, 4*x + 58 = 2*g. Calculate the remainder when 104 is divided by g.
20
Suppose 1266 - 2656 = -10*c. Suppose 2*s - 40 = 4*b, 4*s + 3*b = 7*b + 72. What is the remainder when c is divided by s?
11
Let b = 187 + -183. Suppose -4*u = 3*z - 1245, -z - b*u - 2107 = -6*z. Calculate the remainder when z is divided by 60.
59
Let p be ((-1)/(-2))/(2/(-24)). Suppose 0 = 163*f - 139*f - 869 + 221. Calculate the remainder when 12 is divided by ((-3)/(-2))/(-4 - f/p).
0
Suppose -t - 4 = 3*c, -5*c + 5*t = -0*c - 20. Suppose 6*h = -c*h + 276. What is the remainder when h is divided by 8?
6
Suppose 0 = 39*d + 22*d + 188*d - 337395. What is the remainder when d is divided by 337?
7
Let p = 149 + -101. Suppose p*a = 45*a. Suppose 0 = -3*l + 4*h + 51, a*l = 5*l - 4*h - 93. What is the remainder when 81 is divided by l?
18
Let f(b) = -b**2 + 5*b + 4. Let r = 6703 - 6632. What is the remainder when r is divided by f(4)?
7
Let i(n) = -7*n**2 + 3*n + 48. Let g(v) = v**2 - 1. Let p(w) = 6*g(w) + i(w). Calculate the remainder when 75 is divided by p(7).
5
Suppose 15*t - 14832 = 2313. What is the remainder when t is divided by 230?
223
Suppose 5*l + 4*q - 999 = 0, 7*l - 12*l = 3*q - 998. Calculate the remainder when l is divided by 197.
2
Let t = -31065 + 31072. Calculate the remainder when 14187 is divided by t.
5
Let p be (202/4)/(7/28). Suppose -8*c + p = -206. What is the remainder when c is divided by 18?
15
Suppose 0 = 110*r - 946 - 68 - 306. Let u = 34 - -59. Suppose r*s + 33 = u. What is the remainder when 16 is divided by s?
1
Let i = 24629 - 24595. Calculate the remainder when 5976 is divided by i.
26
Calculate the remainder when 4 + 119 + 23 + -33 is divided by 76.
37
Suppose 934*z - 963*z = -4147. What is the remainder when 5003 is divided by z?
141
What is the remainder when 405/5 - ((-4)/4 - -4) is divided by 0 - (-19 + (-1 - -3))?
10
Calculate the remainder when (-5)/10*(5 + (-3 - 4808)) is divided by 5.
3
Suppose -15*v = 6*v - 336. Suppose -78 = v*g - 29*g. Calculate the remainder when g is divided by 2.
0
Suppose 5*a = -4*h - 4*h + 3959, 0 = -4*h + 2*a + 1966. What is the remainder when h is divided by 25?
18
Let z = 23 + -19. Let c(j) = -j**2 + 4*j + 5. Let f be c(z). Suppose 3*g - 3*b + 0*b = 240, -f*g - 4*b = -391. Calculate the remainder when g is divided by 27.
25
Let c = -224 + 240. Suppose 4*f - 5*r = c, 0 = -0*f + 3*f - 4*r - 11. Calculate the remainder when (-51)/(-3) - (2 - 1) is divided by f.
7
Suppose -356*g = 12494 - 42042. Suppose -h = 2*h - 15. Let l(y) = y**3 - 4*y**2 - 4*y. Calculate the remainder when g is divided by l(h).
3
Let i be -4 - 15/(-20)*(-1 + 13). Let p(k) = -5*k - 1. Let a(t) = 16*t + 3. Let s(q) = -2*a(q) - 7*p(q). What is the remainder when 61 is divided by s(i)?
13
Let n = 72 + -76. Let o be -3*(-1 - -10)/(n - -3). Suppose 21 = -2*u + o. What is the remainder when 12 is divided by u?
0
What is the remainder when 465 is divided by 55 + (-13)/(52/48)?
35
Let h = 11208 - 11188. Let g(t) = t**3 - 6*t**2 - 3*t + 8. Calculate the remainder when g(7) is divided by h.
16
Let v = -14778 - -15094. Calculate the remainder when 1899 is divided by v.
3
Suppose -4*t + 2*c + 113 = -1017, 0 = 3*c - 9. What is the remainder when t is divided by 26?
24
Suppose 27*v - 478 = 29*v. Let i be ((-10)/4)/5*2*v. Suppose 0 = 10*s - 661 - i. What is the remainder when s is divided by 13?
12
Suppose -134*x - 8*u = -133*x - 139, x - 153 = -u. Calculate the remainder when 329 is divided by x.
19
Let q = 62 + -47. Suppose -102*y + 600 = -52*y. Calculate the remainder when q is divided by y.
3
Suppose 2575 = s - 4*y, -5*s - 3*y + 15373 = 2590. What is the remainder when s is divided by 40?
39
Let c(i) = 3*i**2 - 261*i + 1067. What is the remainder when 646 is divided by c(4)?
7
Let w(c) = -2*c - 30. Suppose 2*p - 10 = 0, 2*p + 95 - 13 = -4*f. Calculate the remainder when 60 is divided by w(f).
12
Let v(d) = 3*d - 19. Let x = -11 + 16. Let n be v(x). What is the remainder when 89 is divided by 31 + (0/(-1))/n?
27
