. What is the remainder when x(22) is divided by l(4)?
20
Suppose -w - 5*z = -209, 5*w + 5*z + 189 = 6*w. What is the remainder when w is divided by 59?
22
Suppose z = 3 + 1. Suppose w + 15*f - 12*f - 45 = 0, 4*w - 105 = 3*f. Let g = w - z. What is the remainder when g is divided by 11?
4
Let p(f) = 4*f**3 + 5*f**2 + 13*f + 1. Let r be p(-3). Let b = 211 + r. Calculate the remainder when b is divided by 19.
15
Let q(l) = l**3 - 3*l**2 + 2. Suppose -42 = 3*z - u, -7*u = -3*z - 5*u - 39. Let v(h) = 2*h + 37. What is the remainder when v(z) is divided by q(3)?
1
Suppose 5*u - 5*w + 1500 = 0, -2*u + 44*w - 600 = 39*w. Let i = u - -337. Calculate the remainder when (87/(-6))/((-2)/20) is divided by i.
34
Let k = 56 + 107. Suppose p = 3*r - 392 - 97, -2*p + k = r. What is the remainder when r is divided by 11?
9
Let p(d) = -67*d - 5. Suppose -5 = -5*u, 3*f - u = f + 5. Suppose -3*v + 3*m - 12 = 0, 2*m + m = -f*v + 6. What is the remainder when p(v) is divided by 11?
7
Let m = -6010 - -6018. Calculate the remainder when 471*((-28)/(-12) - 2) is divided by m.
5
What is the remainder when 63/6*(6 + -2)*(-183)/(-6) is divided by 67?
8
Let r = -98 + 175. Let b = -37946 + 38176. What is the remainder when b is divided by r?
76
Suppose 10*r + 76 = 4*z + 8*r, 0 = -3*z + r + 55. What is the remainder when 39 is divided by z?
5
Suppose 19*i = 24*i + 25. Let q be 2964/(-95) + (-1)/i. Let g = q + 40. Calculate the remainder when 53 is divided by g.
8
Let m(b) = 72*b + 908. What is the remainder when m(-7) is divided by 33?
8
Suppose -2*m - 563 + 1068 = 3*w, 3*m - 5*w - 843 = 0. Calculate the remainder when 1357 is divided by m.
27
Let w = 4598 - 4529. What is the remainder when 85 is divided by w?
16
Suppose 4*c + 99*o = 102*o + 175, 0 = 2*c + 5*o - 107. Suppose -41 = 3*z + 43. Let i = z + 40. What is the remainder when c is divided by i?
10
Suppose -8*t - 3974 - 6250 = -32*t. Calculate the remainder when t is divided by 111.
93
Suppose -2*b = -16*b + 112. What is the remainder when 148/(-16)*b/6*-6 is divided by 21?
11
Calculate the remainder when 573 is divided by -2 + (360/6)/6.
5
Let f be (-120)/(-108) + 2/(-18). Suppose 78 = 7*x + f. What is the remainder when 52 is divided by x?
8
Let f(k) = -k - 51. Calculate the remainder when f(-106) is divided by 10.
5
Let s = -169 + 933. Let l = -732 + s. Suppose -3*x = 5*h - 189, -110 = -5*x - 3*h + 205. What is the remainder when x is divided by l?
31
Let v(z) = 7*z**3 - 34*z**2 + 44*z - 7. Calculate the remainder when 44 is divided by v(3).
4
Let i = -98 - -102. Suppose -3*p = -i*g - 1 - 43, -5*g - 3*p = 28. Let w = 8 - g. What is the remainder when 60 is divided by w?
12
Calculate the remainder when -6 + ((-659)/5 + 22)/(6/(-10)) is divided by 84.
9
Let t be (-3)/5 - 224/(-140). Calculate the remainder when 329 is divided by (-255)/51 - t*-19*2.
32
Suppose -2*w + 10 + 18 = -42. Calculate the remainder when 660 is divided by w.
30
Suppose -17*c = -57*c + 1400. Suppose 9*m - 29*m + 1320 = 0. Calculate the remainder when m is divided by c.
31
Let s(i) = -13*i - 29. Let o be s(-8). Let r = o + -53. What is the remainder when 5/(-10)*-4 + 1*129 is divided by r?
21
Suppose v = 3*i - 126, 3*v + 366 = 2*i + 3*i. Let z = v + 138. What is the remainder when z is divided by (-6)/(-4) - (-26)/4?
5
Let t = 7850 + -7084. Calculate the remainder when t is divided by 239.
49
Let m = 4015 - 3990. What is the remainder when 289 is divided by m?
14
Let v(u) = 3 + 5 + u**3 + 4*u - 5*u + 0*u + 5. Calculate the remainder when 543 is divided by v(0).
10
Let t be (9 - 3)*(-2)/(-6). Suppose -3*v + 10*h = 5*h - 27, t*v = -3*h + 18. Let i = -165246 - -165254. Calculate the remainder when v is divided by i.
1
Let n = 27046 - 26968. Calculate the remainder when 1480 is divided by n.
76
Let s be (-7)/(-3) - (-3 + (-20)/(-6)). Suppose -4 = -4*h, -5*z + s*h - 124 = 53. Calculate the remainder when 7 is divided by (8/10)/((-7)/z).
3
Let d = 3305 + -3237. Calculate the remainder when 87 is divided by d.
19
Suppose g = 2*l - 42, 0 = -15*g + 14*g - 4. Suppose -4*a = 9*a - 7878. What is the remainder when a is divided by l?
17
Let j be 88/12 + (15/9 - 1). Suppose -j*l = -11*l + 15. Suppose k - 16 = l. What is the remainder when k is divided by 6?
3
Let f(g) be the first derivative of g**3/3 - 31*g**2/2 - 57*g - 64. Calculate the remainder when 69 is divided by f(33).
6
Suppose 129 - 36 = 3*j. Calculate the remainder when (13/((-1612)/(-1023)))/(1 + 34/(-40)) is divided by j.
24
Let r(g) = -40*g - 1833. Calculate the remainder when 154 is divided by r(-47).
13
What is the remainder when 258 is divided by (27/15)/((256/80)/16)?
6
Calculate the remainder when 211 is divided by (-2)/(-9) + 9 + 530/45.
1
What is the remainder when 25 - (-4)/(8/(-6)) is divided by 6/45 + (6040/(-300) - -28)?
6
Let j = 46 - 36. Suppose -2 - j = q. Calculate the remainder when (-9)/q + (426/8 - 1) is divided by 14.
11
Let h be 1*9/(-36) - 1/(-4). Suppose h = -10*k + 13*k - 93. What is the remainder when k is divided by 3?
1
Suppose 4*t + 4*c = 36, -4*t - 4 = 5*c - 45. Suppose -3*v = 3*k + 2*k + 11, -3*v = -3*k + 51. Calculate the remainder when 3/(-18) + (-98)/v is divided by t.
0
Suppose -d - 3*m + 59 = -7*m, d = 3*m + 63. Let k = 101 - d. Calculate the remainder when k is divided by 9.
8
Let f(p) = p + 6. Let l(q) = 3*q - 16. Let d be l(7). Suppose -2*a - 24 = d*z, -4*a - 3*z = 10 + 10. Calculate the remainder when 7 is divided by f(a).
3
Let j(h) = -5*h**2 - 5*h + 1. Let r be j(-2). Let v be 6*(-2 - (-39)/r). Calculate the remainder when (v/6)/(13/(-39)) is divided by 10.
9
Let w(q) = 3*q**2 + 94*q + 235. What is the remainder when 167 is divided by w(-29)?
7
Suppose 72 = 3*t + 3*l, -3*l = -t - 88 + 128. Calculate the remainder when 462 is divided by t.
14
Suppose -j = -5*y - 23, 3*j - 2*y = 2*y + 91. Let i(p) = 3*p**2 + 2*p + 19. What is the remainder when i(-8) is divided by 2*(-2)/((-6)/j)?
19
Suppose -10*g - 8 = -18. Let h = g - -28. Calculate the remainder when 229 is divided by h.
26
Let x(j) = -j**2 - 59*j - 361. Calculate the remainder when x(-47) is divided by 4.
3
Let p be -1 + 6570/48 + 4/32. Suppose 2*t + 535 = 3*n, -5*t + p = 5*n - 764. Calculate the remainder when n is divided by 34.
9
Let z be (10/(-18) + (-40)/(-180))*-51. Suppose z*i - 12*i = 370. What is the remainder when 289 is divided by i?
67
Suppose -2*c = 5*c - 525. Let t be 266/30 - (-10)/c. Suppose -y + 18 - t = 0. Calculate the remainder when 32 is divided by y.
5
Suppose -20*f = -1350 - 1070. Let j = f + 46. Calculate the remainder when j is divided by 14.
13
Let n = -213 - -294. What is the remainder when (-3 - -5) + n/1 is divided by 69?
14
Let t(b) = 117*b**2 + 2*b + 1. Suppose -6*l = -5*l + 4. What is the remainder when t(-1) is divided by l*(-6)/(-4) + 19?
12
Let r = -13 - -23. Let s(i) = 6*i**2 + 35*i - 7. Let y be s(-7). Suppose -2*k = 3*t - 37 - 8, 4*t = 3*k - y. Calculate the remainder when k is divided by r.
8
Suppose -5*f + 3*f = -80. Let v = f + -43. What is the remainder when 1 - (v*18)/2 is divided by 10?
8
Let m(y) = 25*y**2 + 2*y - 1. Let x(u) = -16*u + 137. What is the remainder when x(5) is divided by m(1)?
5
Let w = 35008 - 34890. What is the remainder when 2616 is divided by w?
20
Suppose 3*j - 3*u = 489, -9*u + 4*u = -10. Calculate the remainder when 819 is divided by j.
159
Let r be 5/15*(45 + 9/(-3)). Suppose -r*c - 8*c = -1430. Suppose 46 = 3*h - 4*v, 4*h - 5*v + 2*v = 59. Calculate the remainder when c is divided by h.
9
Let n(r) = -4*r + 25. What is the remainder when (-6844)/(-60) + 5/(-75) is divided by n(0)?
14
Calculate the remainder when ((-2)/(8/(-1154)))/((-22)/(-44)) is divided by 149.
130
Let x(d) = 10*d + 104. Suppose 11*i - 6*i = 0, -i + 36 = -4*h. Calculate the remainder when 64 is divided by x(h).
8
Let t be 1/(5/4 - (-273)/(-228)). Suppose -t*p = -20*p + 15. What is the remainder when 88 is divided by p?
13
Suppose 7923373 = 608*x - 14761715. What is the remainder when x is divided by 11?
10
Suppose l - 2*l - 9 = -3*x, -12 = -4*l. Suppose 0 = x*j - 81 + 17. Let r = -42 + 49. Calculate the remainder when j is divided by r.
2
Let z(d) = 7*d**2 + d**3 + 6*d - d**3 - d**3 - 6. Let t(s) = 2*s**2 - 11*s + 12. Calculate the remainder when z(6) is divided b