6) is divided by y.
37
Let u(p) = -p**2 - 34*p - 119. What is the remainder when 168 is divided by u(-29)?
12
Suppose 456 = 54*r + 24. Let b = 10 - 10. Suppose -o = 2*l - 24 - 9, b = l + 3. Calculate the remainder when o is divided by r.
7
Let w be (100/12 - 5)*(-696)/10. Let n = w + 413. What is the remainder when n is divided by 27?
19
Let l(x) = -x**3 - 70*x**2 - 1001*x - 15. Suppose 2*b = f + 38 + 156, f + 2 = 0. Calculate the remainder when b is divided by l(-50).
26
Let u(k) = 30*k - 337. Let b = -2 - 6. Let m(c) = -2*c - 11. Calculate the remainder when u(12) is divided by m(b).
3
Calculate the remainder when 432 is divided by 1*6/(-4) + 144/32.
0
Let s(m) = -m**2 - 2. Let n be s(0). Let j be n - (0 - -4)*(-18 - 2). Suppose -j = -2*i - 4*i. Calculate the remainder when 77 is divided by i.
12
Let j(x) = -x**2 + 17*x - 2. Calculate the remainder when 12/22 - 95256/(-693) is divided by j(15).
26
Let k be 66/44 - (-327)/6. Suppose 0 = -a + 5*l + k, -16*l - 10 = -18*l. What is the remainder when a is divided by 41?
40
Suppose 0 = 137*w - 133*w - 132. Suppose 607 = w*g - 1538. What is the remainder when g is divided by 34?
31
Suppose 1056 = 2953*m - 2931*m. What is the remainder when 910 is divided by m?
46
Suppose 9*j - 6*j - 2*q = 187, -2*q = 5*j - 333. Suppose -n - 5*h + 23 = 0, 3*h = 2*h + 5. Calculate the remainder when j is divided by (-9*n/21)/((-6)/(-168)).
17
Let g be 85/3*((-56)/(-8) + 8). Let w = -291 + g. What is the remainder when w is divided by 9?
8
Suppose -3*u + 80 = u. Suppose -15*l = -u*l - 475. What is the remainder when 77 is divided by l/(-5) + -3 + -3?
12
Suppose 0 = 146*b - 306499 - 410507. Calculate the remainder when b is divided by 48.
15
Suppose 5*u = 31 + 59. Suppose u*v - 109 = -19. Calculate the remainder when ((-1)/(-2))/(1/(23 - -3)) is divided by v.
3
Let n be (-5)/4 - (-7825)/20. Suppose -9*m + n = 4*m. Calculate the remainder when 298 is divided by m.
28
Let z(y) = 4*y**2 + 2*y - 5. Let h be -349 + (7 - 3) + -1 + -4. Let k = 384 + h. What is the remainder when z(4) is divided by k?
33
Suppose 4*p + 767 = y, 5*y + 17*p = 13*p + 3931. Calculate the remainder when y is divided by 159.
147
Let i = 495 + -430. Let l(u) = 3*u**2 + 35*u - 6. What is the remainder when i is divided by l(-12)?
5
Suppose 6 = -3*a, 3*h + 0*h = -3*a - 30. What is the remainder when 225 is divided by h - ((-88)/2 + 7)?
22
Let j(k) = k**2 - 57*k + 436. Calculate the remainder when 124 is divided by j(49).
36
Let g = 10711 + -10609. Calculate the remainder when 4788 is divided by g.
96
Suppose 2*m - 144 = 5*w, 50*m + w + 63 = 51*m. Suppose -5*k + 65 = -0*s + s, -31 = -3*k + s. What is the remainder when m is divided by k?
9
Let b(z) = 42*z + 245. What is the remainder when b(-4) is divided by 30?
17
Let x(d) = 5*d**2 + 0 - 4*d**2 - 2*d - 3. Let t(n) = n**3 + 28*n**2 + 49*n - 55. What is the remainder when t(-26) is divided by x(-3)?
11
Suppose -5*s - 7 = 5*w + 13, 0 = -w - 4. Suppose -j = -s*j - 8. Calculate the remainder when 43 is divided by (2 + 2 - 1) + j.
10
Let q = 540 - 538. Suppose -811 = -q*r - 10*x + 5*x, 0 = 2*r + x - 823. What is the remainder when r is divided by 83?
81
Suppose -763*j = -792*j + 432928 + 87158. What is the remainder when j is divided by 76?
74
Let d = 18 + 12. Let r = 605 - 76. Let j = -352 + r. What is the remainder when j is divided by d?
27
Let m(k) = -7*k**3 + k**2 + 6*k + 15. Let q(h) = -16*h**3 + 3*h**2 + 13*h + 31. Let v(b) = 9*m(b) - 4*q(b). Calculate the remainder when 67 is divided by v(4).
32
Suppose -5*v + 66*w = 65*w - 1725, -1404 = -4*v - 4*w. Calculate the remainder when v is divided by 71.
62
Suppose 29*i - 31*i + 1660 = 2*c, 3*c - 1659 = -2*i. Calculate the remainder when i is divided by 409.
13
Suppose s = -g + 108, 2*g + 561 = -6015*s + 6020*s. What is the remainder when 2883 is divided by s?
108
Let h = -26 + 26. Suppose 3*g + 5 - 59 = h. Calculate the remainder when g is divided by 7.
4
Suppose -3*s - 5*v - 401 = 18, -5*v + 113 = -s. Let u = -225 - s. Calculate the remainder when 66 is divided by (3/6)/((-2)/u).
20
Suppose -37*s = -24*s - 21*s + 656. What is the remainder when s is divided by 39?
4
Let k be (58/145)/(4/30). Suppose w - 4*w = l - 406, -5*w - k*l + 678 = 0. What is the remainder when w is divided by 23?
20
Let u(n) = -137*n - 71. What is the remainder when 1055 is divided by u(-1)?
65
Let f(j) be the third derivative of j**5/12 + j**4/8 - 4*j**3/3 + 2*j**2 + 25*j. What is the remainder when f(6) is divided by 48?
46
Let f(d) = 2*d**2 + 6*d - 1. Let z(o) = o**3 + 103*o**2 - 3*o - 235. What is the remainder when z(-103) is divided by f(-5)?
17
Let x(u) = -4*u**2 + 85*u - 18. Let l be (-415)/(-20) - 9/(-36). What is the remainder when x(l) is divided by 2?
1
Let m(t) = 71*t - 11. Let u be m(1). What is the remainder when 341 is divided by (-72)/u + 92/10?
5
Let f = 117 - 114. Suppose -f*o + d = -49, 22*o + 77 = 27*o - 4*d. Let y = 6 - -4. What is the remainder when o is divided by y?
7
Let l = 11511 - 10979. What is the remainder when l is divided by 178?
176
Let w(a) = -49*a**3 - 4*a**2 + 5*a - 2. Let j be w(1). Let p(r) = 2*r + 155. Calculate the remainder when 138 is divided by p(j).
28
Suppose -6*g - 225 = -g. Let h be g - 3/((-3)/4). Let x = 108 + h. Calculate the remainder when x is divided by 14.
11
Let a(m) = m**3 + 5*m**2 - 19*m - 62. Let i(n) = n + 4. Let y be i(-5). Let k(z) = -23*z**3 - z. What is the remainder when k(y) is divided by a(-3)?
11
Let a(m) = m**3 + 4*m**2 - 5*m - 16. Let k = 110 + -113. Let p(u) = u**3 + 19*u**2 + 17*u - 15. What is the remainder when a(k) is divided by p(-18)?
2
Suppose -2*c - 8 = -16. Suppose -3*h - 2*h - 10 = -c*u, -5*h - 3*u = 45. Calculate the remainder when ((-10)/4 + 3)*(h - -20) is divided by 2.
1
Let n(c) = c**3 + 5*c**2 - 16*c - 20. Suppose d + 1 = -5*x, 3*d - 4*x + 2*x - 48 = 0. What is the remainder when n(-6) is divided by 6*(d/(-3))/(-2)?
12
Let c(w) = 12*w + 1. Let b be c(-16). Let a = -132 - b. Calculate the remainder when a is divided by 12.
11
Let n(o) = -21*o + 8*o + 20*o + 7 + 20. What is the remainder when n(-1) is divided by 5?
0
Let b(g) = -17*g - 161. Let n = -307 + 295. Calculate the remainder when b(n) is divided by 13.
4
Let h(x) = -x**2 + 20*x - 45. Let v be h(3). Calculate the remainder when 12 is divided by v/((-7)/((-147)/14)).
3
Suppose 0 = 5*f + 5*t + 27 - 537, 2*t - 412 = -4*f. Calculate the remainder when f is divided by 64.
40
Suppose 54*o = -7*o - 62*o + 25707. What is the remainder when o is divided by 105?
104
Calculate the remainder when 601 is divided by 10*-1*(-4532)/220.
189
Let i be (6/(-7))/((-3)/14). What is the remainder when i*55/10*(-4 - -5) is divided by 12?
10
Let s = 178 + -86. Suppose 2*a + 4*y - 16 = 0, 2*y - 189 = -4*a - 169. Suppose -a*i = -8*i + s. What is the remainder when 137 is divided by i?
22
Suppose -25 = -c - 63. Let k = 38 + c. Suppose k = -16*i + 20*i - 88. What is the remainder when 78 is divided by i?
12
Suppose 0 = 67*a - 721 - 3232. What is the remainder when 116*(-1)/(2/(-5)) is divided by a?
54
Let h(u) = 66*u - 242. Calculate the remainder when h(6) is divided by 3.
1
Suppose -5*y + 35 = 3*a - 54, -5*a + 28 = 2*y. Suppose 7*m - 3850 - 252 = 0. Calculate the remainder when m is divided by y.
16
Let h = -45 + 21. Let v = h + 73. Let l = -19 - -32. Calculate the remainder when v is divided by l.
10
Let j(q) = -q + 12. Let v be j(9). Let t(o) = 10*o**2 - 12*o - 2. Calculate the remainder when t(v) is divided by 29.
23
Let o = 10 + -3. Suppose -p + 169 = -o. Calculate the remainder when p is divided by 18.
14
Let f(u) = u**2 + 2*u + 2. Let h be f(0). Suppose 25 = h*a + 35. Calculate the remainder when (a + 0 + -41)*2/(-4) is divided by 13.
10
Let k(z) = 103*z - 1506. Calculate the remainder when 448 is divided by k(16).
22
Suppose 3*b - 1431 = -5*s, 0*b - b - 3*s + 477 = 0. What is the remainder when b/2 - (11 + -7)/8 is divided by 48?
46
Let b = 5499 - 4145. What is the remainder when b is divided by 24?
10
Let x(w) = -w**2 + 14*w - 2. Let d(f) = 2*f**2 - 32*f - 589. Calculate the remainder when x(7) is divided by d(27).
2
Let z be 4266/15 + 4/(-10). Let r = 8704 + -8863. Let w = z + r. Calculate the remainder when w is divided by 18.
17
Let w(b) = 5*b**2 + 5*b