e -n = -c - 3. Suppose 3*t - 69 = -4*d, 69 = n*d + t - 3*t. Calculate the remainder when 74 is divided by d.
14
Suppose -3*x - 162 = -6*x. Suppose 15968 = -10*i + 16038. Calculate the remainder when x is divided by i.
5
Suppose -327 = -24*k + 345. Let z(r) = -r**2 + 32*r - 47. Calculate the remainder when 257 is divided by z(k).
62
What is the remainder when 2487 is divided by -6 + -13 + 9 + 15?
2
Let y(f) = 25*f**3 + 2*f - 1. Let x = -51948 - -51999. Calculate the remainder when x is divided by y(1).
25
Let x(n) = 2*n**2 + 41*n + 148. Let m(u) = -5*u - 27. Calculate the remainder when m(-12) is divided by x(-4).
1
Let o(q) = q**2 - 32*q + 1. Let f be o(13). Let i = f + 277. What is the remainder when i is divided by 8?
7
Let n be (-81)/(-12) - (-3)/(-4). Let v(t) = t**3 - 2*t**2 - 10*t + 14. What is the remainder when v(n) is divided by (-100)/(-10)*(-5)/(-2)?
23
Let p = 255 + -142. What is the remainder when 95/171*2694/5*6/4 is divided by p?
110
Let y be -9 + 8 + (-3)/(-1). Suppose y*z + 5*i - 183 = 0, -2*z + 342 = 2*z + 2*i. Suppose 9*m = 5*m + z. Calculate the remainder when m is divided by 12.
9
Suppose -2*z = 5*v - 141, -z - 4*v = -3*z + 168. What is the remainder when 209 is divided by z?
53
What is the remainder when (-310)/(-248) - (-790)/8 is divided by 43?
14
Suppose -1277 = 147*h - 22445. What is the remainder when 434 is divided by h?
2
Let a = 86 - 82. Suppose j = -j - a*v + 26, 3*j + 2*v - 19 = 0. Suppose y = 4*b - 13 - 12, -j*b - 5*y = 10. What is the remainder when 13 is divided by b?
3
Suppose 0 = 14*j - 2*j + 2556. Let y = -177 - j. Calculate the remainder when y is divided by 10.
6
Let v = 7560 + -7545. What is the remainder when 3462 is divided by v?
12
Let k = -13 + 50. Let o be (-5)/15*-2*(-14 + -1). Calculate the remainder when k is divided by 1/((0 - o/(-65))/(-2)).
11
Calculate the remainder when (-2 + (9 - (-6 + 4)))*(-85)/(-1) is divided by 12.
9
Calculate the remainder when 521 is divided by (276/805*(-10)/4)/((-2)/301).
5
Let y = -342 - -210. Suppose 369*m - 13805 + 6369 = -50240. Let b = m - y. Calculate the remainder when b is divided by 5.
1
Suppose 35 = s - 0*s. Suppose -17*b - 50 = s. Let y(t) = t**2 + 2*t + 7. What is the remainder when 108 is divided by y(b)?
20
Suppose -5*s + 6*s = 9. Let f be (-39)/(-6) - s/6. Suppose 0*v - f*k = -5*v + 70, -5*k + 47 = 4*v. What is the remainder when 50 is divided by v?
11
Let g be (-1)/(-2)*(-36)/18 - -5. Suppose 0*l + 152 = 3*y + 4*l, y + g*l = 48. Calculate the remainder when 256 is divided by y.
48
What is the remainder when 251 is divided by (9 + -12 - (2 - -1)) + 139?
118
Let w(f) = 7*f - 66. Let k(z) = -z**3 - 13*z**2 - 9*z - 17. Let u be k(-13). Calculate the remainder when (u/8)/((-3)/(-6)) is divided by w(11).
3
Let x(z) = z**2 - 46*z - 447. What is the remainder when x(-12) is divided by 116?
17
Let i(a) = -2*a + 33. Let z(q) = -11 + 0*q - 2*q + 4*q. What is the remainder when z(13) is divided by i(12)?
6
Suppose -3*z + 4*s + 115 = -45, 0 = 2*z + 4*s - 60. Calculate the remainder when 561 is divided by z.
33
Let y = -97 - -101. Suppose 635 = y*r - 281. What is the remainder when r is divided by 10?
9
Suppose -61*b + 91*b = 210. Let x be 4/(-14) + 51/7. Let v = b + x. Calculate the remainder when v is divided by 9.
5
Let i(q) = q**3 - 11*q**2 + 6. Let t be i(8). Let r = -116 - t. What is the remainder when 417 is divided by r?
67
Let j = 238334 - 238328. Let y(r) = 26*r**3 + 3*r**2 - 4*r + 3. What is the remainder when y(2) is divided by j?
5
Let a(g) = g**3 - 20*g**2 + 36*g - 84. Calculate the remainder when 11949 is divided by a(19).
238
Let a = -3624 + 3644. What is the remainder when 658 is divided by a?
18
Let x = 258 - 199. Suppose 79 = 2*g - x. What is the remainder when g is divided by 15?
9
Suppose 0 = 2*f - 213 - 49. Let p(m) = m**3 + 6*m**2 - m + 61. What is the remainder when f is divided by p(-6)?
64
Suppose 448*o - 7367 = 480*o - 19719. Calculate the remainder when 816 is divided by o.
44
Suppose 426*d - 295*d - 15589 = 0. What is the remainder when 6662 is divided by d?
117
What is the remainder when 110 is divided by (-167)/(-14) + (-19)/(33 + -299)?
2
Suppose 3*g = -5*m + 36, -4*m + 12 - 41 = -g. Calculate the remainder when 2530 is divided by g.
14
Let p(d) = -d**3 + 19*d**2 - 7*d + 9. Let l be p(18). Suppose -21 + l = 6*x. Calculate the remainder when 57 is divided by x.
26
Let t(u) = 4*u**3 + 4*u**2 - u - 13. What is the remainder when 393 is divided by t(3)?
9
Let f(m) = -m**2 - 57*m - 739. What is the remainder when f(-35) is divided by 26?
5
Suppose -119 = -f + 2*w, -6*f + 466 = -2*f - 3*w. Let z = -81 + f. Calculate the remainder when 201 is divided by z.
31
Suppose 4*l + 229 = -4*l + 1741. Calculate the remainder when l is divided by 22.
13
Let j(a) = 70*a + 159. Calculate the remainder when j(5) is divided by 15.
14
Suppose -18*c - 2554 = -2*c - 6394. Calculate the remainder when c is divided by 106.
28
Suppose n - 2*f = 614, -4*n = -f - 2241 - 215. Let w = -379 + n. What is the remainder when w is divided by 59?
58
Suppose -2*z = 24 - 22. What is the remainder when 68 is divided by 5 - z/(-1) - (-106 - -104)?
2
Suppose 0 = -3*p - p + 3*g + 469, 0 = p - 5*g - 96. Let r = -62 + p. What is the remainder when r is divided by 10?
9
Let m(z) = 3*z**3 - 15*z**2 + 8*z + 17. What is the remainder when 180 is divided by m(6)?
7
Suppose -4*f + 0 = -12, 5*f + 233 = 4*x. What is the remainder when 316 is divided by x?
6
Let z(j) be the second derivative of -j**3/6 - 13*j**2/2 + 36*j. Let d = -28 - -50. What is the remainder when d is divided by z(-19)?
4
Suppose -114*h - 252 = -121*h. What is the remainder when 157 is divided by 60/h - (39/(-9) - 2)?
5
Let a = -15 + -14. Let w = -26 - a. Calculate the remainder when 54 is divided by (-1)/w*11*-3.
10
Let l = 10479 + -7932. What is the remainder when l is divided by 98?
97
Let u be 29/(-58) - 47/(-2). Let o be (u + -2)*28/4. Let p = o + -30. What is the remainder when p is divided by 30?
27
Let o be ((-80)/60)/((-2)/3). Suppose -y + 19 = -4*w, 0 = 4*y - o*w - 70 + 8. Calculate the remainder when 417 is divided by y.
12
Suppose 0 = -3*m + o + 3, -3*o = -0*o - 9. Suppose 3 = n + 3*k - 45, -m*k + 227 = 5*n. Calculate the remainder when n is divided by 25.
20
Let x = -5 - -18. What is the remainder when (-40)/24*(-4)/(-80)*-276 is divided by x?
10
Let j be 4*5*6/40 - -14. Suppose a = -j*a + 432. What is the remainder when 214 is divided by a?
22
Suppose 3*l - 338 = -2*t, -l + 24 = -2*t - 86. Let f = 301 + -238. What is the remainder when l is divided by f?
49
Suppose 0*w = -w + 5. Suppose -10 = -w*b, 4*b = -2*o + 69 + 75. Calculate the remainder when o is divided by (-9)/24*12/(-9) - 2070/(-180).
8
Suppose -112*b + 72*b = -480. What is the remainder when 114 is divided by b?
6
Suppose 43*c - 40*c - 78 = 3*b, 0 = 5*b. What is the remainder when 587 is divided by c?
15
Suppose 2*l - 4*s - 52 = 0, -l - 5*s - 6 - 3 = 0. Let v = -2146 - -2145. Let t = v + l. What is the remainder when 58 is divided by t?
13
Let w be 21290/(-35) - (1 - 9/7). Calculate the remainder when (156/16)/((-12)/w) is divided by 11.
10
Suppose 676*n = 677*n + 268. Let g = -247 - n. What is the remainder when 39 is divided by g?
18
Let r = -15 - 147. Let f = -134 - r. Calculate the remainder when f is divided by 11.
6
Suppose -99*i + 5870 = 1514. Calculate the remainder when i is divided by 25.
19
Let w be 1/((-2)/(-24))*6512/264. Suppose -2*o - o = -3*m - 156, 5*o - w = -4*m. Calculate the remainder when 222 is divided by o.
54
Let k(f) = f**3 + 7*f**2 - 15*f - 25. Let r(s) = s**2 - 7*s - 26. Let c be r(9). What is the remainder when k(c) is divided by 8?
7
Suppose 372*c = 544827 + 7231461. What is the remainder when c is divided by 207?
204
Suppose -177*k + 6566 = -125*k + 170. What is the remainder when 996 is divided by k?
12
Suppose 0 = -18*y + 24*y + 114. Let u(h) = -3*h**2 - 56*h + 38. Calculate the remainder when 87 is divided by u(y).
11
Let g = 68927 + -68900. Calculate the remainder when 50 + (3 - (0 - -1)) is divided by g.
25
Let m(w) = -w + 29. Suppose -18 = -5*c + 22. Suppose 0 = c*u + 87 + 17. Calculate the remainder when m(u) is divided by 11.
9
Let c = -1861 + 1918. Calculate the remainder when c is divided by 12.
