0*y**2. Calculate the remainder when t(-9) is divided by 6.
4
Let j = -2332 + 1653. Let m = -479 - j. What is the remainder when m is divided by 34?
30
What is the remainder when 276 is divided by 170/68 - 425/(-10)?
6
Suppose 0 = 7*l + 2*l - 63. Suppose -l*w = -w - 264. Let f = -5 - -32. Calculate the remainder when w is divided by f.
17
Let h(s) = s**3 + 17*s**2 + s + 41. Let c be h(-17). Calculate the remainder when 22/(-33) - 2*(-116)/c is divided by 2.
1
Calculate the remainder when 872 is divided by (8/(-12))/(10/30345*-7).
5
Let h(l) = 30*l**2. Let s be 1/((-2)/(-20)*5). Suppose a - 1 = v, s*a + 5*v = a + 1. Calculate the remainder when h(a) is divided by 18.
12
Let p(h) = -h**3 - 25*h**2 + 21*h - 1. Let o be p(-26). Let x = -115 + o. Let k(c) = c**2 - 5*c - 10. What is the remainder when k(x) is divided by 9?
8
Suppose 16*k = 89*k - 913157. Calculate the remainder when k is divided by 18.
17
Let n(k) = -2*k**3 - 15*k**2 + 5*k + 6. Let j(q) = -3*q**2 + 7*q - 10. Let s be j(2). Calculate the remainder when 14*(2*(-4)/8 + 5) is divided by n(s).
26
Suppose 159 = 2*j + d, d + 412 = 5*j + 25. What is the remainder when 937 is divided by j?
1
Suppose 7 = -2*r + 5, 4*r + 7 = w. Let u(a) = 18*a**2 - 16*a + 37. Calculate the remainder when u(w) is divided by 11.
8
Suppose 5*g - 41 = 4*h, -23 = -3*g - h + 3*h. Let d be (168/(-20))/(g/(-25)). Suppose -d - 68 = -5*o. What is the remainder when o is divided by 13?
9
Let n = 153 - 153. Suppose 8 = 3*g + 4*o, 0*o + o + 1 = n. What is the remainder when 9 is divided by g?
1
Let t(n) = -n**2 - 7*n + 1. Let o be t(-7). Suppose m - 161 = o. Calculate the remainder when (-2)/6*7/((-14)/m) is divided by 7.
6
Let v(x) = -x**2 + 9*x. Let h be v(9). Let z(g) be the second derivative of g**4/12 + 2*g**2 - 3*g. What is the remainder when 19 is divided by z(h)?
3
Suppose -3*u - 4*b + 144 = -7*u, 3*b - 40 = u. Let y(d) = -d + 16. What is the remainder when 298 is divided by y(u)?
48
Suppose 25 + 40 = b - 4*n, -3*b - 3*n = -255. Calculate the remainder when 106 is divided by b.
25
Suppose -263 - 108 + 91 = -35*y. Let r(t) = 2*t - 6. What is the remainder when y is divided by r(7)?
0
Let r(d) be the third derivative of 11*d**5/20 + 17*d**4/24 + 3*d**3/2 + 3*d**2 + 30. What is the remainder when r(-5) is divided by 10?
9
Let p(v) = -v**3 - 100*v**2 - 1059*v - 12. Calculate the remainder when 1185 is divided by p(-12).
9
Let g be 18*117/(-48) - (-7)/(-56). Let i = -39 - g. Suppose 3 = -i*x - 2, 0 = 2*j - 5*x - 59. Calculate the remainder when 106 is divided by j.
25
Let r(l) = 16*l + 686. Calculate the remainder when r(-28) is divided by 105.
28
Let o(a) = -2*a - 3*a**2 + 5*a**2 + 5*a - 247 + 289. What is the remainder when 335 is divided by o(0)?
41
Let k(r) = 4*r**2 - 38*r + 213. Calculate the remainder when k(5) is divided by 17 + -3 + (-4 - 0 - -8).
15
Let h(q) = q**3 + 6*q**2 - 2*q + 1. Let d = 23 - 34. Let i = d + 61. What is the remainder when i is divided by h(-6)?
11
Suppose 795*r + 270 = 804*r. What is the remainder when 1734 is divided by r?
24
Suppose 0 = -5*p - 4*v + 294, 0 = -3*p - 5*v + 240 - 74. Let x = 98 - p. Calculate the remainder when x is divided by 16.
4
Let b(y) = y**3 + 9*y**2 - 19*y - 3. Let k be b(-10). Let c = -84 + k. Calculate the remainder when 61 is divided by c.
1
Let o = 206 + -113. Calculate the remainder when ((-2772)/8)/((-7)/4 + 1) is divided by o.
90
Suppose -22*t + 5*t = -1292. Let l(h) = -h**3 - 3*h**2 + 10*h + 20. What is the remainder when t is divided by l(-5)?
16
Let c = 8957 - 8836. Calculate the remainder when 240 is divided by c.
119
Suppose 4*v = -4*a + 540, -491 - 31 = -4*a - v. Calculate the remainder when a is divided by (46/(-3))/(1/(-3)).
37
Let p = -78 + 163. Let x = 56 + p. Let h = -121847 - -121863. What is the remainder when x is divided by h?
13
Let q be (15 - 12)/(2 - 1). Suppose -3*d + 346 = 2*v, -3*v - q*d + 419 + 97 = 0. Calculate the remainder when v is divided by 43.
41
Let k be 3*-11*(2 + -1). Let m = 46 + k. Calculate the remainder when ((-846)/(-63) + -13)/(35/2940) is divided by m.
10
Let g = 1331 + -1313. Calculate the remainder when 238 is divided by g.
4
Let t = -4611 + 4987. Calculate the remainder when t is divided by 10.
6
Suppose -27*p + 31*p = d - 2141, -5*d + 5*p + 10615 = 0. What is the remainder when d is divided by 30?
17
Suppose -2*i + 5*u = -398, 4*i - u = 582 + 214. Let b = -673 - -724. What is the remainder when i is divided by b?
46
Calculate the remainder when (-150)/240 - (-15029)/8 is divided by 171.
168
Suppose -244 = -2*t - 10*y + 13*y, 2*t + 3*y - 292 = 0. What is the remainder when 153 is divided by t?
19
Calculate the remainder when 650 is divided by (6 + 11 + -14)/((18/(-178))/(-3)).
27
Suppose 0 = -2*q + 5*i - 8*i + 1278, 2*i = 2*q - 1298. Let a = q + -614. Calculate the remainder when 92 is divided by a.
30
Let t = -259 + 310. Suppose t*p + 6890 = 77*p. What is the remainder when p is divided by 89?
87
Let o = 88 - 84. Let p(j) = 3*j**2 - 17*j + 46. Calculate the remainder when p(o) is divided by 3.
2
Let v = 14899 - 14872. What is the remainder when (1 - -29)*(-22)/(-5) is divided by v?
24
Let n = 8 + -1. Let m(q) = -q**3 + 8*q**2 + 8*q + 6. Let j be m(n). Let o = -29 + j. What is the remainder when o is divided by 28?
26
Let r be 6*1446/18 + -3. Let q = -417 + r. Calculate the remainder when q is divided by 8.
6
Suppose -21*v + 98 + 511 = 0. Let l(c) = 133*c**2 - 19*c - 1. Calculate the remainder when l(1) is divided by v.
26
Let o(v) = 14*v**2 - v - 59. Calculate the remainder when o(-8) is divided by 281.
2
Let m(h) = 3*h**2 + 2*h - 1. Suppose 3*q = -3*f - 315, 0 = -3*q + 6*q - 3*f + 321. Let w = 139 + q. What is the remainder when w is divided by m(-2)?
5
Let j = -937 - -1526. What is the remainder when j is divided by 65?
4
What is the remainder when 571 is divided by 146/9 + 142/(-639)?
11
Let w(t) = -10*t**2 - 2*t. Let y be w(-1). Let g be 4 + y - 28/(-2). Suppose l - g = h, h - 45 = -4*l - 0*h. What is the remainder when l is divided by 6?
5
Let y(r) = r**2 - 23*r + 63. Let q be y(20). Suppose q*s - x = s + 16, 3*s + 5*x = 11. What is the remainder when 116 is divided by s?
4
Let g(t) = -t**3 - 76*t**2 - 28*t - 2122. What is the remainder when 1307 is divided by g(-76)?
5
Let u = 6330 + -2553. What is the remainder when u is divided by 20?
17
Let s(d) = 468*d**2 - 2*d + 3. Calculate the remainder when s(1) is divided by 150.
19
Suppose 44*w = -45*w - 22*w + 16872. Calculate the remainder when 700 is divided by w.
92
Let v(p) = 2*p**2 + 10*p + 12*p**2 - 17*p + 15*p + 2. Suppose 0 = -4*b + 48 + 40. Calculate the remainder when v(3) is divided by b.
20
Suppose -20*d + 2397 = j - 15*d, -4750 = -2*j + d. Calculate the remainder when j is divided by 183.
181
Suppose y - 5*c - 41 - 47 = 0, -4*y = -3*c - 250. What is the remainder when 175 is divided by y?
1
Let y(q) = q**2 + 3*q + 479. Calculate the remainder when y(-17) is divided by 46.
27
Suppose -4*o - 2*j = -278, -35*o + 31*o + 243 = -5*j. Suppose -5*r = 3*m - 392, 3*m - 231 = -2*r + 176. What is the remainder when m is divided by o?
5
Suppose -3*s + 46 = m, 3*m + 4*s - 8*s - 177 = 0. Suppose 20*z - 1304 = 18*z. Suppose -n + z = 3*n. What is the remainder when n is divided by m?
53
Let o(l) = 2*l**3 - 15*l**2 - 5*l - 14. Let m be -2 + 14/1 + (-1 - 3). What is the remainder when (-56)/(-6)*(-18)/(-6) is divided by o(m)?
8
Let o be -12*(-8)/240 - 3222/5. Let n = -625 - o. Calculate the remainder when 70 is divided by n.
13
Let k(l) = 210*l + 2109. Calculate the remainder when k(-5) is divided by 229.
143
Let h(p) = p + 66. Suppose 11*q + 228 = 13*q. Suppose 4*u - q = -22. Calculate the remainder when h(0) is divided by u.
20
Suppose -143*v = 10*v - 14841. Calculate the remainder when v is divided by 57.
40
Suppose -3*v = 4*r + 175, 0*r = r - 5*v + 61. Let k = -45 - r. What is the remainder when 84 is divided by (k/2)/(1/58)?
26
Let n(q) = -q**3 - 4*q**2 + 14*q + 9. Let k be n(-6). Suppose 0*m = -4*m + 268. What is the remainder when m is divided by -2 - (-4 - k - 18)?
16
Suppose -126 = -505*h + 487*h. What is the remainder when 2576/(-35)*(-5)/1 is divided by h?
4
Suppose -5*r + 66 = 2*y, -28*r + 25*r - 2*y = -34. What is the remainder when 430 is divided by r?
1