f. What is the remainder when 2086/63 + 1/(-9) is divided by c?
15
Suppose 0 = 1885*c - 22935 - 20420. Let x = 57 - 3. What is the remainder when x is divided by c?
8
Let h(k) = 3*k**2 + k + 6. Let g(c) = -c + 8. Let o be g(5). Let s be (4/o)/((-6)/189*-14). Calculate the remainder when 69 is divided by h(s).
33
Let o(x) = x**3 - 15*x**2 + x - 3. Suppose 4*a - 60 = -y, -5*a + 3*a + 30 = -5*y. Let n(m) = -11*m. What is the remainder when n(-2) is divided by o(a)?
10
Let a(l) = l**2 - 11. Let h be a(0). Let p = -1719 - -1767. Let j = p + h. Calculate the remainder when 146 is divided by j.
35
Let h be 228*1 - (2 + -9 + 6). Let j = h + -198. Calculate the remainder when 86 is divided by j.
24
Suppose 7 = s - 82. Suppose 797*n + s = 798*n. Calculate the remainder when n is divided by 7.
5
Let v = 61 - 24. Suppose 5*r + 1465 = 5*x, 6*x - 3*r - 2*r - 1759 = 0. Calculate the remainder when x is divided by v.
35
Suppose -7 = -4*c + 9. Suppose 2*z = c*u - 908, 8*u + 3*z + 1137 = 13*u. What is the remainder when u is divided by 46?
41
What is the remainder when (-336)/280 - 11283/(-15)*1 is divided by 246?
13
Let n(v) = 8*v**2 + 11*v - 810. Calculate the remainder when n(18) is divided by 153.
144
Suppose v + 5*q = 10*q + 9, q = -2. Let j be (-40)/3*v*24/10. Suppose x - 6 = -5*n + 24, 0 = -2*x - 3*n + j. Calculate the remainder when 29 is divided by x.
9
Suppose 56 = 2*v + 2*y, -v + 64*y - 2 = 68*y. Let s(i) = -2*i + 3. What is the remainder when v is divided by s(-5)?
12
Let w(k) = -9*k + 7. Suppose 7*n = 21*n - 1876. What is the remainder when n is divided by w(-3)?
32
Let q(r) be the second derivative of r**3/2 + 9*r**2 - r + 33. What is the remainder when 8 is divided by q(-5)?
2
Calculate the remainder when ((-2922)/9)/((-12)/27 - (-50)/(-225)) is divided by 122.
121
Suppose 0 = 5*o + q - 1936, -q + 180 = 174. What is the remainder when o is divided by 153?
80
Let i(g) = 5*g**2 + 2*g - 4. Let p be i(1). Suppose p*m - 19 + 4 = 0. What is the remainder when 22 is divided by m?
2
Calculate the remainder when ((-1)/((-4)/5087))/(180/720) is divided by 268.
263
Suppose -87*a - 16*a + 330 - 124 = 0. What is the remainder when 32 is divided by a?
0
Let n(w) = -4*w**2 + 45*w - 1. Let k be n(11). Calculate the remainder when 72 is divided by (9/(-18) - 2)*(-76)/k.
15
Let u(z) = 181*z**2 + 109*z + 407. What is the remainder when u(-4) is divided by 263?
237
Let d = 43 - 44. What is the remainder when 170 is divided by 3 + 4/d + 30?
25
Let y be (-1203)/(-21) - (-3 - 92/(-28)). Suppose 103 = a - y. Let t = -122 - -163. What is the remainder when a is divided by t?
37
Let q(k) = k**3 - 18*k**2 + 32*k + 23. Calculate the remainder when 134 is divided by q(16).
19
Let m(r) = r + 91. Let g be ((-2)/(-1))/(0 - (-2)/(-25)). Let v be m(g). Suppose 8*s - v = 5*s. What is the remainder when 86 is divided by s?
20
Calculate the remainder when 12/14 + (4/70 - 13376/(-70)) is divided by 102.
90
What is the remainder when (-4)/(-10) - (53 - 419)*(-196)/(-10) is divided by 104?
102
Suppose 54*r - 14 = 50*r - 3*y, 0 = -5*r - y + 34. What is the remainder when 534 is divided by r?
6
Let l(i) = i**2 + 83*i + 1185. What is the remainder when 222 is divided by l(-14)?
3
Let i(m) = 20 + 10 + 10 - 4*m. What is the remainder when i(8) is divided by (20/8)/5*(12 - 0)?
2
Let g = 2971 + -2902. What is the remainder when 1172 is divided by g?
68
Let v = -787 - -1321. Calculate the remainder when (-27)/6*v/(-9) is divided by 68.
63
Suppose -777 = -2*v - 3*t + 1254, -4*v + 4071 = -3*t. What is the remainder when 4080 is divided by v?
12
Let b(a) = a**3 - 23*a**2 - 51*a + 29. Suppose 11 - 52 = -x. Suppose -46*p + x*p = -85. Calculate the remainder when p is divided by b(25).
1
Let q(c) = c**3 + 6*c**2 - c - 2. Let j be q(-6). Let a(g) = -g**2 + 13*g + 53. What is the remainder when (j/8)/1 - 138/(-12) is divided by a(16)?
2
Suppose -5*j + 300 = -5*g, -3*j + 112 + 74 = 3*g. Let i(m) = 3*m**3 + 85*m**2 - 593*m + 25. Calculate the remainder when i(6) is divided by j.
53
Let r = 1194 - -1644. Calculate the remainder when r is divided by 101.
10
Let j = 99 - 69. Suppose -7*w + 2*w = 5*b - 895, -2*b + 357 = w. What is the remainder when b is divided by j?
28
Let t(m) = m**3 + 9*m**2 - 8*m + 24. Let i be t(-10). Calculate the remainder when 24 is divided by 1*(8 - i - 2).
0
Let z be 0/(-29) - -6*4/(-6). What is the remainder when (34/(-51))/(z/462) is divided by (-231)/(-12) + (-3)/(-4)?
17
Let v = 7480 + -7458. Calculate the remainder when 4331 is divided by v.
19
Suppose 78*c + 22575 = 99*c. What is the remainder when c is divided by 19?
11
Suppose -u = 2*b - 26, -134*b + 60 = -131*b + 5*u. What is the remainder when 949 is divided by b?
9
Let a be 150/(-100)*(-52)/3. Suppose a*g + 75 = 31*g. Suppose -6*r + 7*r - 24 = 0. What is the remainder when r is divided by g?
9
Let q(f) = -f + 26. Let s be q(14). Suppose -13*t - s = -142. Calculate the remainder when 38 is divided by t.
8
Suppose 0 = 5*t + h + 2*h + 353, 2*h = 8. Let p = 109 + t. Suppose p*b = 38*b - 90. What is the remainder when b is divided by 6?
3
Suppose 159*u = -22*u + 25159. Calculate the remainder when 1078 is divided by u.
105
Let y(l) = -2*l**3 - 4*l**2 - 3*l + 4. What is the remainder when 834 is divided by y(-3)?
28
Let t be 1/5 - 837/(-15). Suppose -2*h = -t + 12. Let c(k) = 19*k + 126. Calculate the remainder when h is divided by c(-6).
10
Suppose 11 = 4*j - l, 150*l - 139*l = -4*j + 71. Let f be (-6)/(-4)*(-8)/(-6). Suppose 0 = -f*u + 7 + 7. Calculate the remainder when u is divided by j.
3
What is the remainder when 718 is divided by ((-10)/(-65))/((-16)/(-2288))?
14
Let t = -11846 + 11877. Calculate the remainder when 521 is divided by t.
25
Let g(l) = 101*l**2 + 4*l - 2. Let w = 21 - 20. Let z be g(w). Suppose -4*x + 0*t + z = -t, -4*t + 82 = 3*x. What is the remainder when x is divided by 9?
8
Suppose 130 = -2*p - 116. Suppose -4*q - 274 = -2*w + q, 4*w - 548 = -2*q. Let b = w + p. What is the remainder when b is divided by 9?
5
Let c = -5177 + 5217. What is the remainder when 869 is divided by c?
29
What is the remainder when (12/(-4))/(25/(-205475)*3) is divided by 35?
29
What is the remainder when 106 + ((-119)/(-14) - 5)*(-36)/21 is divided by 8?
4
Suppose -8*d - 477 + 669 = 0. What is the remainder when 63 is divided by d?
15
Suppose 0 = -9*q + 2108 - 209. Suppose 3*s - 2*p = 169, 5*s - p - 285 = 4*p. Calculate the remainder when q is divided by s.
46
Suppose -4*y - y - 3*v + 435 = 0, -4*y + 348 = 4*v. What is the remainder when 21 + (-7 - 6) + 339 is divided by y?
86
Let v be (45/12)/(60/2080). Let p = v - 92. What is the remainder when p is divided by 3?
2
Suppose -v + 2*v - 4*b = 56, 2*b - 32 = -v. Suppose -5*j + 9*j - v = 0. Suppose j*z = 11*z - 38. Calculate the remainder when z is divided by 10.
8
Let f be (-4 - -1)*(-6 + (-91)/(-21)). Suppose -3*i - 4*r + 97 = 0, -12*r + 185 = f*i - 10*r. Calculate the remainder when i is divided by 14.
11
Let z = -218 + 230. Suppose -3*d + 103 = -4*h, 2*h + 49 = -2*d + 141. Suppose -d - 3 = -2*w. Calculate the remainder when w is divided by z.
10
Let h = -59 - -64. Let x(z) be the first derivative of 37*z**2/2 - 21*z - 2. What is the remainder when x(h) is divided by 33?
32
Suppose 350*m = -113721 + 493821. Calculate the remainder when m is divided by 10.
6
Let l = -71 - -249. Let u = -143 + l. Calculate the remainder when 139 is divided by u.
34
Suppose 90*j - 10883 = -1973. Calculate the remainder when 887 is divided by j.
95
Suppose 143 = -78*c + 8645. What is the remainder when 212 is divided by c?
103
Let t = 682 + -628. Suppose 2*w - 74 = -5*m, -5*m + 2*w = -2*m - t. What is the remainder when 77 is divided by m?
13
Let t(k) = 4*k**3 + 3*k**2 - 10*k + 8. Let q be t(1). What is the remainder when 88 is divided by (9/q)/((-5)/(-50))?
16
Suppose 64*g - 48108 = -358*g. Calculate the remainder when 678 is divided by g.
108
Suppose -3*s + 4*s - 6 = 0. Suppose -p - 58 = -b, -4*p - 200 = -0*p + 4*b. Let a = p + 83. What is the remainder when a is divided by s?
5
Let j = 70 + -41. Let f = -22 + j. Suppose 4*s - 48 = -5*c + 48, -3*c + 72 = 3*s. Calculate the remainder when s is divided by f.
3
Calculate the remainder when 1536 is divided by 58 - (-1 - 2)/((-249)/(-166)).