d by 272?
0
Suppose 6*r - 186 = -0*r. Let a(b) = -2*b**3 + 63*b**2 - 30*b - 7. Suppose -136 = -4*f + 52. What is the remainder when f is divided by a(r)?
23
Let z = 12 - 9. Suppose 4*r - z = -3*c + 63, -3*r - c = -52. Calculate the remainder when r is divided by 4.
2
Suppose 5*q + 3 = 18, 4*q - 116 = -4*f. Suppose -t + 5*v = t + f, 10 = -t + v. What is the remainder when 32 is divided by 363/51 - t/(-68)?
4
Let l(v) = 6*v**3 - 2*v**2 - 90*v + 691. Calculate the remainder when l(8) is divided by 322.
17
Let c(l) = -l**2 - 9*l - 3. Suppose -38*p + 11*p - 12015 = 0. What is the remainder when (-2 - (-7)/((-35)/p)) + 1 is divided by c(-6)?
13
Suppose -34*c - 18*c + 23*c = -1160. Suppose 2 = t - 2. Suppose -4*j + t = -32. Calculate the remainder when c is divided by j.
4
Let q = -352 + 514. Suppose 3*p + 5*j - q = 0, -41 - 23 = -p - 5*j. Calculate the remainder when p is divided by 9 + 7*(-7)/(-49).
9
Let m(z) = -10*z**2 - 13*z - 84. Let y be m(9). Let k = 1078 + y. Calculate the remainder when k is divided by 15.
7
Suppose -69*p - 3909 = -37*p - 33*p. Calculate the remainder when p is divided by 163.
160
Suppose p + 147 = 66. Let b = 296 + p. Calculate the remainder when b is divided by 41.
10
Let v be (-5 - (-45)/5) + (-4 - 1). Calculate the remainder when 94 is divided by v/2 + (-98)/(-4).
22
Let p = -48743 - -48756. Calculate the remainder when (-8)/(-12) + 770/6 is divided by p.
12
Suppose -4*p + k - 78 = -k, 2*p - 3*k + 37 = 0. Let f = p + 6. What is the remainder when (80/f)/(2/(-7)) is divided by 12?
8
Let y(g) = -126*g + 226. Let o be y(-4). Calculate the remainder when 204 is divided by o/292*(102/10 - -1).
8
Let m = -4377 + 4342. Let i = 72 - 122. Let r = m - i. What is the remainder when 54 is divided by r?
9
Suppose -7*n = 2*n + 3645. Let s = n - -445. Suppose 2*w - 63 = -w. Calculate the remainder when s is divided by w.
19
Suppose 5*b - 20*b + 1084 = -1991. Calculate the remainder when 813 is divided by b.
198
Let r(p) = p**3 + 3*p**2 - 8*p - 20. Let y be r(-2). Suppose y*b - 223 = -b. What is the remainder when b is divided by 32?
31
Let h = -66 - -49. Let c = h + 23. Suppose -y + c = -32. Calculate the remainder when y is divided by 20.
18
Suppose -14*s = -3352 - 3032. Calculate the remainder when s is divided by 82.
46
Suppose -255*x + 259*x + 7940 = 0. Let d = -1170 - x. What is the remainder when d is divided by 91?
87
Suppose -21 - 54 = -15*d. Calculate the remainder when 28 - ((-10)/d + 7) is divided by 12.
11
Suppose 4*p - 5*m + 659 = 0, m + 165 = -p + 2*m. Let d = p - -191. Suppose f + 0 = 14. What is the remainder when d is divided by f?
11
Let t(h) = 6*h**2 + 168*h + 104. Calculate the remainder when t(-29) is divided by 48.
38
Suppose w + 83 = 2*t, -5*t + 197 = 3*w - 38. Let u be (15 - 13)*6/4 - -1. Suppose -t - 44 = -u*m. What is the remainder when 63 is divided by m?
19
Suppose 0 = -4*v + 25 - 13, -v + 813 = 5*j. Calculate the remainder when 799 is divided by j.
151
Suppose -25*n = -14*n - 836. Suppose 29 = 3*z - n. Calculate the remainder when 195 is divided by z.
20
Calculate the remainder when (-220)/605 + (-6630)/(-22) is divided by 107.
87
Let z(x) = -x**3 - 22*x**2 + 24*x + 21. Let r be z(-23). Let q be ((-196)/r)/(7 - 6). Suppose -3*o + q = -130. Calculate the remainder when o is divided by 40.
36
Let z be (1 + -2)*(10/(-5) + 2). Suppose z = -9*c - c + 100. What is the remainder when 68 is divided by ((28/(-10))/(-1))/(2/c)?
12
What is the remainder when 87 is divided by (-1 - -2) + -5 + (142 - 79)?
28
Let m(j) = 2*j**2 - j - 36. Let r be m(-6). Let c(n) = n**3 - 40*n**2 - 84*n + 40. Calculate the remainder when 77 is divided by c(r).
37
Let y(g) = 2*g**2 - 11*g + 8. Let q be y(6). Suppose 4*j + 220 = q*j. Calculate the remainder when 63 is divided by j.
19
Suppose 2*q - 590 = -500. What is the remainder when 88 is divided by q?
43
Suppose x + 43 = 4*r, -2*r + x = -5*r + 41. What is the remainder when 46 is divided by r?
10
Let j(s) = 53*s - 4722. Calculate the remainder when j(91) is divided by 91.
10
Let v(j) = -j + 6. Suppose 0 = 3*t + 4*l - 8, 5*l - 2 = 2*t - 15. Suppose 0*x + 36 = t*x. What is the remainder when x is divided by v(4)?
1
Let q = -10954 - -10984. What is the remainder when 229 is divided by q?
19
Calculate the remainder when 2142 is divided by (6 + -1)/(112/535 + 1/(-5)).
2
Suppose 863 + 1315 = 33*z. What is the remainder when 206 is divided by z?
8
Suppose -d = 3*l - 16 - 25, 2*d - 38 = 5*l. Suppose 16*h - 83 = d. What is the remainder when 18 is divided by h?
4
Suppose w - 4*u = 2*w - 27, 5*w - u = 156. Let p = 292 + -279. Suppose 21*i - p*i - 456 = 0. Calculate the remainder when i is divided by w.
26
Let p = 2106 - 1315. What is the remainder when p is divided by 262?
5
Let m(y) = 2*y**2 + 1. Let k be m(1). Suppose i = k*o - 4*i - 102, -3*o + 111 = -2*i. Let c(s) = 10*s + 80. What is the remainder when o is divided by c(-7)?
9
Suppose -205*g - 170 + 2078 = -2602. Let h(v) = 27*v + 1. What is the remainder when h(1) is divided by g?
6
Suppose -2*x + 14 = -22. Suppose -o = -3*u + 71, -637*o + 636*o + 54 = 2*u. What is the remainder when u is divided by x?
7
Let q(k) = k**3 + 16*k**2 - 19*k + 5. Let g(z) = z**3 - 2*z**2 + 114. What is the remainder when g(0) is divided by q(-17)?
36
Suppose -66*p = -15*p + 11*p - 2914. Calculate the remainder when p is divided by 13.
8
Suppose -109*n + 110*n + 76 = m, 4*m + 3*n - 290 = 0. What is the remainder when m is divided by 29?
16
Suppose -9*n - 15168 = -88*n. Calculate the remainder when n is divided by 52.
36
Let r(c) = -c**3 + 7*c**2 - 4*c - 2. Let q be r(2). Suppose -15*m + 10 = -14*m. Calculate the remainder when (-12)/q*(-1)/4*90 is divided by m.
7
Let r(n) = 76*n - 3030. What is the remainder when 1896 is divided by r(40)?
6
Let m = 27 - 67. Let c = -25 - m. Let a(u) = -105*u + 2729. What is the remainder when a(25) is divided by c?
14
Let l = -11739 + 11851. Calculate the remainder when 120 is divided by l.
8
Suppose 0 = -h + 2, 14 = -0*j + 3*j - 5*h. Suppose -182 = -j*w + 58. What is the remainder when w is divided by 16?
14
Let g = 97 + -67. Calculate the remainder when 141 - (-12 - -8 - -13) is divided by g.
12
Suppose -4*m - 8 = 4*d, -3*m = 8*d - 4*d + 6. What is the remainder when 1*2*6/1 is divided by d - 2 - (4 - 18/2)?
0
Let c = -2139 - -4164. What is the remainder when c is divided by 185?
175
Let s(a) be the third derivative of -a**6/120 + a**5/3 - 13*a**4/24 - 23*a**3/2 + 60*a**2. What is the remainder when 268 is divided by s(19)?
43
Suppose 8*m - 213 + 253 = 0. What is the remainder when (-2 + 1)/(2/(-162)) is divided by (m - -7)*(-3 - (-35)/2)?
23
Calculate the remainder when (-2)/6 + (-334)/(-3) is divided by -12 - -45*(12 - (-7 - -18)).
12
Suppose -5*u + 31*u - 26 = 0. Suppose -2*q - 2*q + 39 = j, -3*q = -j - 31. Calculate the remainder when -108*u/2*-2 is divided by q.
8
Suppose 5*l - 875 = -5*j, 646 = -44*j + 48*j - 5*l. What is the remainder when 675 is divided by j?
168
Suppose 11*s + 26706 + 7914 = 41*s. Calculate the remainder when s is divided by 193.
189
What is the remainder when 104 is divided by -90*((-27)/(-5) + 12 + 2 + -20)?
50
Let k(i) = -i**3 - 10*i**2 - 6*i - 20. Suppose 0 = -3*g + q - 34, -46 = 2*g - 5*q - 6. What is the remainder when 76 is divided by k(g)?
36
Suppose 0 = -l + 231*r - 229*r + 24, 2*l + 5*r = -6. Calculate the remainder when (177/6)/(7/14) is divided by l.
11
Suppose b + 3*j = -33, 0 = -0*b - 2*b + 5*j - 99. What is the remainder when (-4)/(-14) + (-492)/b is divided by 4?
0
Let k(p) = -1342*p**3 + 8*p**2 + 15*p + 5. What is the remainder when k(-2) is divided by 54?
51
Suppose i - 25*v - 1483 = -21*v, -1482 = -i + 5*v. What is the remainder when i is divided by 18?
11
Let b be 2/(-2 - 333/(-168)). Let r = 116 + b. Suppose 4*u - 4*h - 764 = 0, -4*h = 2*u - r*u + 384. Calculate the remainder when u is divided by 49.
43
Let h = 22042 + -21531. Calculate the remainder when h is divided by 246.
19
Suppose 121 = -25*j + 623 + 1048. What is the remainder when 114 is divided by j?
52
What is the remainder when 2856 is divided by (-48)/112 - (-1490)/14?
100
Suppose 134*p - 3833 = -751. Calculate the remainder when 7497 is divided by p.
22
Calculate the remainder when (2061/(-27))/(9/(-27)) is divid