- 111. Calculate the remainder when 272 is divided by b(5).
0
Let o be ((-385)/10)/(-11) + 1/(-2). Suppose -5*j = 5*i - 23 - 52, o*i - 45 = 4*j. Let f = 42 + -15. Calculate the remainder when f is divided by i.
12
Let o = 9 + 0. Let f = 35 - 28. Suppose f*t - 2*t = s, -5*t = 4*s - 25. What is the remainder when o is divided by s?
4
Let m(n) = -n**3 + 21*n**2 - 19*n + 26. Let z be m(8). Suppose 0 = -2*k + j + z, 1436 = 4*k + 5*j - j. What is the remainder when k is divided by 91?
82
Let w(x) = -48*x + 39. Let d be w(-6). Let j = d + -523. Let h = j + 285. What is the remainder when h is divided by 46?
43
Let h = -460 - -936. Suppose 13*y = -y + h. Calculate the remainder when 42 is divided by y.
8
What is the remainder when 59 is divided by (6/4 + -2)*12*(-260)/30?
7
Suppose 8*s - 49 = -33. Suppose s*z + 5*u = 13, -3*u - 13 = -4*z + 78. Calculate the remainder when z is divided by 19.
0
Let r(t) = -1 + 2102374*t**3 - 2102373*t**3 - 2 - 3*t + 4*t**2. Let v be -1 + (-1 + 2)*-3. Calculate the remainder when r(v) is divided by 3.
0
Let y = -4228 - -4626. What is the remainder when y is divided by 195?
8
Let g(k) = -19*k - 20. Let s be 42/56 + (-45)/12. Calculate the remainder when 146 is divided by g(s).
35
Suppose -147 = 3*x - 6*x. Let l = 234 - 250. Let a(k) = k**3 + 15*k**2 - 17*k - 3. What is the remainder when x is divided by a(l)?
10
Let s be (-14)/4 + (-18)/(-12) - 0. Let p be s/12*-3 - 277/(-2). Suppose 3*z + p = 2*x, -2*x + 0*z + 151 = z. Calculate the remainder when x is divided by 19.
17
Let k(q) = -11*q - 71. Let o be k(-4). Let j = -29 - -43. Calculate the remainder when 18*o*(-5)/30 is divided by j.
11
Suppose -4*s + 12 = 0, 21 = 6*b - 3*b - 4*s. Calculate the remainder when 49 is divided by b.
5
Suppose 0 = 13*i + 2*i. Calculate the remainder when -5 + (i + 1)/(5/345) is divided by 11.
9
Let o be (18/(-15))/((-8)/(-100)). Let q(r) = r**3 + 14*r**2 - 16*r + 70. What is the remainder when q(o) is divided by 24?
13
Let s = 118 - -13. Suppose -88 = -48*f + 44*f. What is the remainder when s is divided by f?
21
Suppose 48665 + 8219 - 6836 = 184*q. What is the remainder when 273 is divided by q?
1
Let u be -3 - (-9)/(9/20). Let k = -5 + u. Suppose 24*m + 35 = 3*r + 19*m, -4*r + 24 = -m. Calculate the remainder when k is divided by r.
2
Let o = -132 - -318. Calculate the remainder when o is divided by (-15)/20 + 3060/48.
60
Let j(k) = 37*k**2 + 3*k + 13. What is the remainder when j(-4) is divided by 9720/(-135)*6/(-8)?
53
Suppose 4*b + 4 = 0, 0*b = u - 5*b - 335. Suppose v - 135 = -2*j, -14*j + 5*v = -9*j - u. Calculate the remainder when j is divided by 10.
7
Suppose 150*b = 33*b - 2672 + 28646. What is the remainder when 334 is divided by b?
112
Let s be ((-18)/27)/(5/(135/(-6))). Suppose s*j = 3*z + 156, -3*z + 0*z = -4*j + 209. What is the remainder when 100 is divided by j?
47
Let a(i) = 15*i**2 + 350*i - 39. What is the remainder when 2626 is divided by a(-24)?
13
Suppose 5*t - 3*t + 24 = p, -p + 9 = t. Suppose 0 = v + 2*s - 24, p*s = v + 9*s - 52. Calculate the remainder when 249 is divided by v.
25
Suppose 295562 = 465*o - 126193. What is the remainder when o is divided by 127?
18
Let t be -6*(-1*1 + 60/(-36)). Let c(k) = k**3 - 13*k**2 - 40*k + 24. What is the remainder when c(t) is divided by 13?
9
Let v(c) = -61*c - 650. Let r = -75 - -113. Calculate the remainder when r is divided by v(-11).
17
What is the remainder when 724 is divided by -6 - ((-1498)/9 + (-68)/(-153))?
84
What is the remainder when 8413 is divided by (488/(-10))/((-840)/2100)?
117
Suppose 3*p + 0 + 18 = 0. Suppose -132*y = -130*y - 60. What is the remainder when y is divided by p - -4 - 1*-13?
8
Suppose 0 = -3*l + 5465 - 1703. Suppose 393 = -41*f + l. Let g = -33 - -93. Calculate the remainder when g is divided by f.
18
Let q = -5 + 1. Let o(n) = -3*n**3 - 8*n**2 + 76*n + 265. What is the remainder when o(-3) is divided by (q - 2/(-1)) + 14?
10
Let t = -2266 + 2333. Calculate the remainder when 437 is divided by t.
35
What is the remainder when 975/(-4 + 19) - 14 is divided by 13?
12
Let c be (1 - 624/(-9))/(9/(-54)). Let y = c - -453. Suppose -g + 4 = -8. What is the remainder when y is divided by g?
7
Let s(x) = 5*x + 22. Let a be s(-5). What is the remainder when 68 + (-5)/(5/a) - -2 is divided by 19?
16
Calculate the remainder when -16130*(7 + (-990)/140) + (-1)/7 is divided by 168.
144
Let m(j) = 28*j - 2. What is the remainder when m(6) is divided by -14*(-1)/(-7)*(6 + (-584)/16)?
44
Let d be 1*((-56)/6 + 8/6). Calculate the remainder when (-66)/d*(120/9)/1 is divided by 19.
15
Let u be (9/(36/(-136)))/(-3)*3. What is the remainder when 110 is divided by 1/1*u + 3?
36
Suppose 0 = -k - 4*k + j + 265, 4*k = -j + 212. Suppose -593*p + 56 = -594*p - 10*h, -4*p + 35 = 3*h. What is the remainder when k is divided by p?
11
Let r be 99/(-2) - 3/(-6). Let f = r + 53. Suppose -4*h - f = -3*n + 25, 21 = 2*n - h. Calculate the remainder when 19 is divided by n.
8
Let u(n) = -126*n**2 - 384*n + 12. Calculate the remainder when 3651 is divided by u(-3).
21
Let y(h) = -21*h - 246. Let o be y(-12). Suppose 98 = o*d - 154. Calculate the remainder when d is divided by 7.
0
Suppose 5*h - 24 = h, 4*k - 3*h = 41042. Calculate the remainder when k is divided by 59.
58
Let w(s) be the first derivative of 9*s**2/2 + 262*s - 99. What is the remainder when 36 is divided by w(-27)?
17
Suppose 16*d - 45 = 147. Calculate the remainder when 238 - (-1 - 2)/(12/d) is divided by 49.
45
Let b(x) = 1173*x**3 + 11*x**2 - 14*x + 3. Calculate the remainder when 3530 is divided by b(1).
11
Suppose -3*x - 46 = -2*x. Let w be (-57)/(-570) - 781/10 - -6. Let f = x - w. What is the remainder when 100 is divided by f?
22
Let o(l) = l + 8. Let s be (-2)/3*36/(-24). Let j be (-2 - s) + (-1 - -1). Calculate the remainder when 14 is divided by o(j).
4
Let n = 9 + 1. Suppose -227*z - 241*z - 456 = -492*z. Calculate the remainder when z is divided by n.
9
Suppose 1487*u - 1453*u - 4454 = 0. Calculate the remainder when u is divided by 118.
13
Let u = -45 + 100. Calculate the remainder when u is divided by (-1)/4 + ((-147040)/(-4480) - 8/14).
23
Let h = 8008 + -7902. What is the remainder when 3073 is divided by h?
105
Calculate the remainder when 8157 is divided by -10*((-402)/30 + -7).
201
Suppose 4*o - 52 - 40 = -3*j, 5*o - 91 = -3*j. What is the remainder when 67 is divided by j?
3
Suppose -4*a = 5*v - 27, 0*v + 3*a - 6 = v. Suppose -v*i = -0*i - 207. Calculate the remainder when i is divided by 1/(3/(34 - -2)).
9
Let w = -4208 + 5906. Calculate the remainder when w is divided by 13.
8
Let r = 301 + -439. Let c = r - -244. Let d = 560 - 548. Calculate the remainder when c is divided by d.
10
Suppose 4 = 2*m, 5*m + 792 + 406 = 4*x. Suppose 3*f = -c + 139, 3*f = -2*c + 5*f + x. Calculate the remainder when c is divided by 24 - (-1*1)/1.
23
Suppose 0 = -3*z - 3*o + 69, -5*z + 11*o = 6*o - 155. Suppose 4*g + 33 = 5*d, 2*d + 3*g + 0 = z. Calculate the remainder when 107 is divided by d.
8
Let d = -75 + 81. Let n be (5 - d)*1 + -62. Let j = n + 94. Calculate the remainder when j is divided by 12.
7
Let v = -66 + 69. Suppose -v*z = 15, -u - 2*z - 3 = 4. Suppose -u*r = -8*r + 75. What is the remainder when 56 is divided by r?
11
Suppose -8*l = -5*l - 3. Calculate the remainder when 25 is divided by (l/(-3))/((-7)/147).
4
Suppose -315*u - 368 + 62009 = -48294. Calculate the remainder when u is divided by 130.
89
Suppose 15*i - 104 = -44. Suppose -9*z + 12*z + 829 = 4*d, 817 = i*d + z. What is the remainder when d is divided by 62?
19
Let j be -5 + 2 + (32 - 2). Let i = j - -19. Suppose -2*p + i = -10. What is the remainder when p is divided by 6?
4
What is the remainder when 0 - 12/(-150) - 8792/(-100) is divided by 12 + 3 - 0/2?
13
Let o be 0*3/9*(-8)/(-16). Suppose -4*v - 27 = -s - o*v, -v = s - 7. Let d = 30 - 0. What is the remainder when d is divided by s?
8
Let d(y) = 201*y - 118. Suppose 19 = 9*m - 7*m + 5*z, 9 = 3*m + z. What is the remainder when d(m) is divided by 7?
4
Let k = -22 + 12. Let q = k + 36. Let n(v) = -v**3 + 38*v**2 - 89*v - 512. What is the remainder when n(35) is divided by q?
22
Let c = -7 - -13. Let w(q) = 8*q + 139. Let i(h) = 22*h + 49. Let x be i(-3). Calculate the remainde