s the remainder when 1093 is divided by k?
1
Let f(d) be the third derivative of d**5/60 + 11*d**4/24 + 13*d**3/6 + 7*d**2 - 3*d. Calculate the remainder when 86 is divided by f(-11).
8
Let d(v) = 9*v**2 + 78*v + 183. What is the remainder when 505 is divided by d(-5)?
1
Calculate the remainder when 6311 is divided by (82/(-4))/((-9)/42 + 4/(-14)).
38
Let q = 1909 + -1835. What is the remainder when q is divided by 1 - (3/(-3) - 8)?
4
Suppose 2*f + 306 = -5*w, 5*w + 638 = -5*f - 142. What is the remainder when 116 is divided by (2449/f)/(-2 + (-6)/(-4))?
23
Let k(i) = -4*i - 73. What is the remainder when (-3)/(-21) + (-3636)/(-28) is divided by k(-23)?
16
Suppose -74*k + 50*k = -9216. What is the remainder when k is divided by 55?
54
Let q = -96 + 202. Suppose -4*r + 160 = g - q, 200 = 3*r + g. Calculate the remainder when r is divided by 17.
15
Suppose -2*d + 9*s + 278 = 11*s, -d + 2*s = -118. Calculate the remainder when 322 is divided by d.
58
Let y(b) = 13*b**3 + 5*b**2 - b - 3. Let v be y(1). Calculate the remainder when 136 is divided by 2/(((-4)/v)/(174/(-42))).
20
Suppose -32*k = 12*k + 14387 - 82323. Calculate the remainder when k is divided by 9.
5
Suppose 74*x - 197759 - 487676 + 112083 = 0. Calculate the remainder when x is divided by 8.
4
Suppose 4941 + 8109 = 9*q. Let p be q - ((18 - 13) + (-4)/1). Suppose 303 + p = 8*c. Calculate the remainder when c is divided by 17.
15
Let a be ((-322)/(-7))/(((-2)/4)/(-1)). Calculate the remainder when a + (-2 - (1 + -4)) is divided by 28.
9
Suppose -2*v - 6 = -0*v. Let w be v/(6/(-31))*(-1 - -7). Let n = w - 67. What is the remainder when n is divided by 10?
6
Suppose -2*v - 145 = -149. Suppose 4*s + 2*x - 1183 = x, -v*s + x + 593 = 0. What is the remainder when s is divided by 50?
46
What is the remainder when 108137/27 - 496/6696 is divided by 10?
5
Let y = 37736 - 37459. What is the remainder when 4168 is divided by y?
13
Suppose 6*a - 7 = f + 638, -228 = -2*a - 4*f. What is the remainder when a is divided by 52?
4
Let h = -1749 - -1853. Calculate the remainder when h is divided by 15.
14
Let v(r) be the second derivative of 7*r**4/12 + 4*r**3/3 - 8*r**2 + 2*r - 36. Calculate the remainder when v(-8) is divided by 74.
72
Let c be ((-56)/49)/(4/(-14)). Suppose 4*w = -3*m - 0*m + 261, -267 = -c*w + 3*m. Calculate the remainder when w is divided by 48/(-84)*(-119)/2.
32
Suppose -13*q - 3*q = 5*q - 819. What is the remainder when 180 is divided by q?
24
Let i(h) = 3*h**2 - 5*h + 17. Let g be (-1)/((-3)/8)*(-36)/16. Let f be i(g). Let d = -34 + f. Calculate the remainder when d is divided by 31.
28
Let x = 18348 - 10759. What is the remainder when x is divided by 23?
22
Let i(n) be the second derivative of n**4/6 + 7*n**3/6 - 16*n**2 + 2*n + 14. Calculate the remainder when i(5) is divided by 15.
8
Let m = -1 - -6. Suppose -y + 3*f + 692 = 3*y, 0 = -5*y - m*f + 865. What is the remainder when y is divided by (-5 - 2) + (4 - -28)?
23
Suppose 2*p + 57 = 4*k + p, -3*p = 3*k - 24. What is the remainder when 38 is divided by k?
12
Let f = -497 + 909. Let w = 438 - f. What is the remainder when 38 is divided by w?
12
Let i be (-17)/34 - 7/(-2). Suppose -5*r = -2*j + 16, -3*j - i*r = -8*j + 40. What is the remainder when -1 + 42*12/j is divided by 32?
30
Suppose 2*w - 2318 = -f + 539, -2*w + 5*f = -2887. What is the remainder when 2/(-5) + w/15 is divided by 33?
29
Let h = -283 + -355. Let w = h - -668. Calculate the remainder when 178 is divided by w.
28
Let b = 185 - 178. Suppose 0 = b*q - 5*q - 10, 3*y - 46 = -5*q. Calculate the remainder when 22 is divided by y.
1
Let u = 528 + -166. Suppose -d - 3*a = -u, d + 2*d - 1108 = 2*a. Suppose -5*j = -2 - d. Calculate the remainder when j is divided by 19.
17
What is the remainder when ((-882)/28 - -30)*(-1402)/3 is divided by 60?
41
Let r(h) be the third derivative of -h**6/60 - h**5/30 + h**4/8 + 2*h**3/3 + 31*h**2. Calculate the remainder when r(-2) is divided by 5.
1
Let s = 465 - 461. Let k(t) = 6*t**2 + 10. Calculate the remainder when k(s) is divided by 9.
7
Let z(u) = 2*u**2 - 97*u - 398. Calculate the remainder when 520 is divided by z(-4).
14
Let f = 3489 - 3472. Calculate the remainder when 51 is divided by f.
0
Let v(m) = 29*m**2 - 9*m + 3. What is the remainder when v(2) is divided by 21?
17
Suppose z - 2*b - 1083 = -b, 4*z = -4*b + 4292. Calculate the remainder when z is divided by 40.
38
Suppose -4*p - 5*g = -1276, -p - 3*g + 4*g = -328. Suppose -p = -20*h + 976. What is the remainder when h is divided by 2/(2 + 0)*33?
32
Suppose 166*i - 510 = 169*i. Let c = i + 196. Calculate the remainder when 104 is divided by c.
0
Suppose 2*k - 604 = 322. Let i = 251 + k. What is the remainder when i is divided by 13?
12
Calculate the remainder when 1033 is divided by (-1414)/6363*((-207)/(-2))/(-1).
21
Let v(d) = -d**2 + 18*d - 13. Let p be v(12). Let o = p + -37. Suppose -44*k - 3192 = -82*k. Calculate the remainder when k is divided by o.
18
Suppose -9*a = 65 - 191. Suppose 26*i = -293 + 735. What is the remainder when i is divided by a?
3
Let t = -442 - -398. Let n = t + 279. Calculate the remainder when n is divided by 17.
14
Let l = -38 - -42. Suppose l*g = 1 + 39. What is the remainder when 57 is divided by g?
7
Let r(o) = 3*o**2 - 44*o + 301. Calculate the remainder when r(12) is divided by (496/(-24) - (-3 - -1))*-3.
37
Suppose 0 = -9*m + 6*m + 72. Let d(n) = -n**2 - 23*n - 31. Suppose 5*t = 3 - 73. What is the remainder when d(t) is divided by m?
23
Suppose 0 = -4*j, 3*c - j = -2*c + 60. What is the remainder when (250/15)/(3/9) is divided by c?
2
Let i = -54 - -58. Suppose k = i*k - 21. Suppose 0 = -4*p - 2*g + 578, k*g - 421 = -3*p + 3*g. What is the remainder when p is divided by 25?
22
Let i = -5 + 34. What is the remainder when i is divided by (-7276)/(-642)*(-4 - 22/(-4))?
12
Let v(c) = 12*c - 33. Suppose 2*s - 5*s = -t - 24, -40 = -5*s + 2*t. What is the remainder when v(s) is divided by 11?
8
Suppose 0 = -2*o + 3 + 17. Suppose 0 = -o*d + 215 - 35. What is the remainder when 29 is divided by d?
11
Let d = 181 - 78. Calculate the remainder when d is divided by ((-8)/(-10))/((-141)/(-1410)).
7
Suppose 11*l = 6*l + 50. Let f be 9/(l/8 + -1). Suppose 9*v + f = 13*v. What is the remainder when 9 is divided by v?
0
Let k(b) = -2*b - 20. Let u(n) = -n - 21. Let v(i) = 2*k(i) - 3*u(i). Calculate the remainder when (200/(-32))/(1/(-4)) is divided by v(9).
11
Let p = -330 + 595. Calculate the remainder when p is divided by 54.
49
Let q = -306 + 385. Suppose q*f - 270 = 61*f. What is the remainder when 494 is divided by f?
14
Let n(m) = 5*m**2 - 23*m + 54. Let p be n(6). Let l = p + -5. What is the remainder when 179 is divided by l?
88
Let w(i) = 38*i + 986. What is the remainder when w(0) is divided by 327?
5
Let f be (14/6)/((-462)/(-396)). What is the remainder when 134 is divided by -2*((-2 - f) + 148/(-8))?
44
What is the remainder when (-5156)/(-6) - 2/54*9 is divided by 217?
208
Let c be 1*-1 + 8 - (221 + -216). Calculate the remainder when 193 is divided by 1/c*(54 - (-32)/(-4)).
9
Suppose -4*i + 1 + 7 = b, -b - 16 = -4*i. Suppose 0 = -0*s + i*s - 168. What is the remainder when s is divided by (-29)/((-2 + 3)/(-5 - -4))?
27
Let l = 145 - 19. Let z = l - 110. What is the remainder when 61 is divided by z?
13
Calculate the remainder when 497 is divided by 144/(-88) - 7068/(-44).
20
Suppose -2*t - 2*t = -60. Suppose 8*w = 9*w + 1. Calculate the remainder when (-1)/(12/t - w - 2) is divided by 4.
1
Suppose 7375 = 28*r - 10937. What is the remainder when r is divided by 14?
10
Calculate the remainder when 1832 is divided by -7 - ((120/20 - 3) + 28/(-1)).
14
Let a(x) = -13*x + x + 59 - 6190*x**2 + 6191*x**2. Calculate the remainder when 98 is divided by a(8).
17
Let z(i) = -75*i + 388. Calculate the remainder when (-2 - (-16)/(-24))/(4/(-126)) is divided by z(5).
6
Suppose -2*g = 4*w - 78, 5*g - 47 = -4*w + 34. What is the remainder when 431 is divided by w?
13
Suppose -4*x + 2*x + 2010 = -2*v, 2*x + 5*v = 1982. Calculate the remainder when x is divided by 42.
35
Let t = -59 + 60. What is the remainder when 161 + (((-4)/(-4))/t - 3) is divided by 40?
39
Suppose 21326*m = 21289*m + 30044. Calculate the remainder when m is divided by 43.
