). Calculate the remainder when k(1) is divided by -9*(6/4)/(f/(-16)).
11
Let h(x) = -x**3 - 17*x**2 - 7*x + 5. Let f be h(-16). Let i = f + 149. Calculate the remainder when 22 is divided by i.
2
Suppose j + 9*v - 6*v = 2, -2*j - v + 19 = 0. Suppose 0 = j*i - 74 - 58. Calculate the remainder when 57 is divided by i.
9
Let u(o) = 5*o**2 + 6*o + 7. Suppose -2*n - 5*f = -0 - 14, -3*n = 5*f - 21. Suppose 8 = -n*p - 13. What is the remainder when u(p) is divided by 7?
6
Let a(o) = 3*o - 122. Let k be a(25). Let s = 77 + k. Calculate the remainder when 33 is divided by s.
3
Let w(i) = 3*i**2 - 15*i + 41. Let y be w(5). Calculate the remainder when (y - -1)/((-13)/((-1183)/26)) is divided by 32.
19
Let k(d) be the first derivative of -d**3/3 + d**2/2 - 4*d - 28. Let f be k(4). Let x = f + 64. Calculate the remainder when x is divided by 20.
8
Let n(k) = -k**3 + 12*k**2 + 63*k - 9. Let v = -35 + 46. Calculate the remainder when n(15) is divided by v.
8
Suppose 2*h + 2*k + 278 + 610 = 0, -4*h = 3*k + 1779. Let b = h - -449. What is the remainder when 4 is divided by b?
0
Suppose -595*h + 462195 = 211*h - 469541. Calculate the remainder when h is divided by 65.
51
Let w = 8269 + -7697. Calculate the remainder when w is divided by 64.
60
Suppose 3*w - 744 = -0*w. Calculate the remainder when w is divided by 20 + -3 + (-539 + -33)/(-52).
24
Suppose 6*i + 460 = 2*q + 5*i, -3*q + i = -692. Let u = q + -160. What is the remainder when u is divided by 25?
22
Let s(g) = g**3 + 4*g**2 + g - 2. Let w be 2*5/(40/(-108)). Let y = w + 33. What is the remainder when y is divided by s(-2)?
2
Suppose 4*u - 101 = -b - 70, u - 5*b - 13 = 0. What is the remainder when 36 is divided by u?
4
Suppose -4*i = -i - 36. Let g = -312 + 316. Suppose -4*u - 9*a + 67 = -6*a, 0 = g*u + 4*a - 64. Calculate the remainder when u is divided by i.
7
Suppose 0*h - 21 = 21*h. What is the remainder when (5 - 6)/(1/(12*h)) is divided by 12?
0
Let r(o) = -o**3 - 5*o**2 - 10*o - 8. Let i be r(-4). Calculate the remainder when 1430/6 - i/120*-5 is divided by 48.
47
Let x = -21452 + 21632. What is the remainder when 380 is divided by x?
20
Suppose 24 = 4*t - 4*l, -t - 6 = -2*t + 2*l. Suppose -t*a + 3*a + 147 = -4*d, -4*d + 65 = a. Let u = 40 - 26. Calculate the remainder when a is divided by u.
11
Let g(h) = -5*h + 32. Let w(s) = 11*s - 62. Let v(m) = 7*g(m) + 3*w(m). What is the remainder when v(-1) is divided by 12?
4
Suppose 7 = 2*a + 1. Suppose 0 = -5*s + 2*s + a. Suppose -13*w - 145 = -197. Calculate the remainder when w is divided by s.
0
Let b(k) = 194*k + 3. What is the remainder when b(6) is divided by 127?
24
Suppose -70 + 872 = 2*l. Let s = -330 + l. Calculate the remainder when s is divided by 18.
17
Let f(m) = -16*m**3 - m**2 + 11*m + 10. What is the remainder when 82 is divided by f(-1)?
12
Let h(a) = -2*a + 9*a + 177 + 5*a - 2*a + a. What is the remainder when 57 is divided by h(-11)?
1
Suppose -3*q - 6 = -3*u, 30 = -q - 2*q - 5*u. Let r(c) = -c**2 - 8*c + 7. What is the remainder when 77 is divided by r(q)?
11
Let i be -9*(-1)/3*258/6. Let u = i + -100. Calculate the remainder when u is divided by 9.
2
Let s(o) = o**3 - 14*o**2 + 17*o - 51. Let z be s(13). Suppose 0 = 3*w + 5 + 4. What is the remainder when ((84/(-10))/z)/(w/15) is divided by 15?
12
Suppose 2*f = -2*m + 10 - 4, -3*f = -3*m - 39. Let b(c) be the second derivative of 2*c**3/3 - c**2/2 + c. What is the remainder when b(f) is divided by 12?
7
Let j be (25*-4 - -2)*-8. Let y = j + -422. What is the remainder when (-3)/(y/(-120) - -3) is divided by 13?
11
Let j(i) = 2*i**2 - 9*i + 22. Let h(l) = l**3 + 4*l**2 - 5*l + 6. Let w be h(-5). What is the remainder when j(3) is divided by (-6)/w - 6/(-4)*6?
5
Let s(m) = -m + 8. Let q be s(6). Let f(p) = 8*p - 1. Let k(o) = -8*o + 1. Let b(d) = -5*f(d) - 6*k(d). What is the remainder when b(q) is divided by 8?
7
Let l = -9873 - -10116. Calculate the remainder when l is divided by 61.
60
Suppose 5*d = 2*d - 4*c + 260, 4*c = 4*d - 356. Let k(l) = -23*l + 156. What is the remainder when d is divided by k(6)?
16
Let h(n) = -4*n**3 - 14*n**2 - 10*n - 3. What is the remainder when h(-10) is divided by 19?
18
What is the remainder when (144/20)/(-6)*(-166 + 21) is divided by 81?
12
Let m = -2445 - -1555. Let g = 917 + m. Calculate the remainder when 45 is divided by g.
18
What is the remainder when (0 + (-992)/40)/(-5 + 548/110) is divided by 226?
8
Let c = 296 - 286. Calculate the remainder when 1/c + (-2569)/(-10) is divided by 43.
42
Let i be 4 - 5 - -2 - 1/1. Suppose -4*u - 3*d + 99 = -6*d, i = 4*u + 5*d - 91. Calculate the remainder when u is divided by (-36)/(-54) - (-3)/((-9)/(-25)).
6
Let o be ((-2)/8*0)/1 - 1. What is the remainder when (78/(-4))/(o/((-64)/(-6))) is divided by 54?
46
Let o be -1*3966/9*(-36)/24. Let r = -640 + o. What is the remainder when 41 is divided by r?
20
Let l(c) = -660*c - 31. Calculate the remainder when l(-2) is divided by 429.
2
Suppose -149 = -29*w - 62. Suppose 43 = w*n + 5*s, -4*s = -s - 6. Calculate the remainder when 38 is divided by n.
5
Let v(r) = -8*r - 156. Suppose -91*k = -95*k - 124. What is the remainder when v(k) is divided by 50?
42
Let q = 19 - 19. Suppose 3*r - 4*v - 103 = q, -v + 2 = r - 30. Calculate the remainder when 18/(-120)*-5 + 1542/24 is divided by r.
32
Let j be (-12)/36*0/2. Suppose j = -53*g + 60*g - 448. Let t(v) = -v**3 + 2*v**2 + 3*v + 3. Calculate the remainder when g is divided by t(-2).
12
Let s = 7983 - 7544. What is the remainder when s is divided by 15?
4
Calculate the remainder when 7629 is divided by (-25852)/(-1610) + (-4)/70.
13
Suppose -219*d + 12568 = -95618. What is the remainder when d is divided by 71?
68
Let x = 20194 - 19752. What is the remainder when x is divided by 160?
122
Suppose 44*y + 196 = 6312. What is the remainder when y is divided by 2?
1
Let r(j) = j**3 - 15*j**2 + j - 11. Let y be r(15). Suppose -4*k = -y*c + 424, 0 = 4*k - 8 - 12. Calculate the remainder when c is divided by 58.
53
Suppose i - 147 = -2*s, 2*i - 7*s = -4*s + 259. Let f = i + -28. What is the remainder when f is divided by 22?
21
Calculate the remainder when 418 is divided by -7 + 1490/(-80)*-8.
134
Let q(f) = -2*f**3 - 22*f**2 - 23*f - 12. Let r(p) = 106*p**2 + 2*p - 1. What is the remainder when r(1) is divided by q(-10)?
17
Let c be 228/20 - (-6)/10. Suppose c*j = -82 + 442. Calculate the remainder when 105 is divided by j.
15
What is the remainder when 619 is divided by (-309)/(-12) + (3 - (2 - (-9)/12))?
21
Suppose -d + 1712 = 6*l - 3*l, -5*l - 2*d = -2853. Let q = -183 + 205. What is the remainder when l is divided by q?
21
Let c = -6 + 10. Suppose -4*b + 2*w = -40, -2*w - 23 = c*b - 71. Suppose -b*i = -4*i - 84. Calculate the remainder when 25 is divided by i.
1
Let p = 22 + 594. Let c = -549 + p. What is the remainder when c is divided by 5?
2
Suppose -m = -5*x, 0 = -2*m - 3*m + 5*x + 20. Suppose -s - 36 = 3*p - 311, -m*p + 457 = s. Let t = 35 + p. What is the remainder when t is divided by 43?
40
Suppose 3*a - 54 = 27. Let f = 11587 - 11399. What is the remainder when f is divided by a?
26
Suppose 0 = v + 651 - 693. Calculate the remainder when 890 is divided by v.
8
What is the remainder when 61905/135 + -3 + (-12)/(-27) is divided by 150?
6
Suppose -3*f - 41 + 5 = r, -r = 4*f + 31. Let t = -8 - r. What is the remainder when t + 1*2*(-6)/6 is divided by 12?
5
Suppose 150 - 430 = -2*p. What is the remainder when (p/(-49))/(((-20)/(-154))/(-5)) is divided by 56?
54
Suppose -13*m = -15109 + 6126. Calculate the remainder when m is divided by 25.
16
Suppose 5*c = -2*c + 3703. Let h = -521 + c. Calculate the remainder when 75 is divided by h.
3
Suppose -22*h = -0*h + 7*h - 59711. What is the remainder when h is divided by 9?
7
Let l = -12177 + 12187. What is the remainder when 4419 is divided by l?
9
Let b be -3*6/(-45) + 882/(-105). Let f(d) = -d**3 - 5*d**2 + 16*d + 39. What is the remainder when f(b) is divided by 37?
29
Suppose o - 5*h = 127, -5*h = 101 - 106. What is the remainder when o is divided by 2?
0
Suppose -281*x = -266*x + 13800. Let p = x + 940. Suppose 5*g - 2*g - 9 = 0, 9 = 4*m - g. What is the remainder when p is divided by m?
2
Let h be (-3222)/(-135) + (-7)/(420/(-8)). Calculate the remainde