s the remainder when 27 is divided by (-48)/(-420)*-5*((-147)/2)/7?
3
Suppose 7 = 4*r + 2*q + 3*q, r = -3*q. Let h = -338 - -352. Suppose h*b - 92 - 62 = 0. What is the remainder when b is divided by r?
2
Suppose -55 = 2*x - 147. Let y = 30674 - 30662. What is the remainder when x is divided by y?
10
Suppose -78 - 12 = -5*w. Let v = 127 + -115. Suppose v*u - 29*u + 85 = 0. What is the remainder when w is divided by u?
3
Let p be (-7275)/30*((-9)/(-5) + -1). Let o = p - -4. What is the remainder when 1/(378/o - -2) is divided by 24?
23
Calculate the remainder when 509 is divided by (4/3)/((-44)/(-2805)).
84
Let x = -2138 + 2209. Suppose y + 257 - 51 = h, -h - 5*y = -230. What is the remainder when h is divided by x?
68
Suppose -5*y = m - 1640, y + 39*m - 36*m - 342 = 0. What is the remainder when y is divided by 82?
81
Suppose 0 = -4*c + 5*c - 98. Suppose 5*z - a = -304, 2*a = 5*z + 4*a + 292. Let b = c + z. Calculate the remainder when b is divided by 10.
8
Suppose 39 = -692*s + 693*s + 4*i, 3*s = 5*i + 49. Let c = 980 + -482. What is the remainder when c is divided by s?
15
What is the remainder when (1 - 4158)/(120/(-240)) is divided by 84?
82
Suppose 3*w = -4*b - 7, 25 = -5*w + 2*b - 4. Let p(q) = -13*q - 6. Let f = -995 + 1026. Calculate the remainder when p(w) is divided by f.
28
Let l be 1263/15 - (-8)/10. Suppose 9*m + l = 445. Calculate the remainder when 44 is divided by m.
4
Let p be (168/(-15) - -1)*5. Let u = p - -73. Suppose 0 = 13635*c - 13624*c - 682. What is the remainder when c is divided by u?
18
Suppose 0*z + 3*z - 47 = 5*t, 5*z + 3*t - 101 = 0. Calculate the remainder when ((-624)/112 - 2)*21/(-3) is divided by z.
15
Let u = -150 + 303. Suppose -24 = 3*k - u. Suppose -276 + 368 = 4*p. What is the remainder when k is divided by p?
20
Let r(a) = a**2 - 16*a - 58. Let k be r(19). Let t(g) = -3*g**3 + g**2 + 5*g + 4. What is the remainder when 29 is divided by t(k)?
2
Calculate the remainder when 16/12 + (-108473)/(-201) is divided by 68.
65
Suppose -329*o - 1386 = -340*o. Suppose 7 - o = -17*i. What is the remainder when 82 is divided by i?
5
Let z = -72 + 75. Let f be 2/3 + 1/z. Suppose f = -2*i - 5, -4*b + 125 = 5*i. Calculate the remainder when b is divided by 12.
11
Let f = 30 - 21. Suppose 0 = k + 1 - f. Suppose -k*b + 30 = -3*b. Calculate the remainder when 23 is divided by b.
5
Let y be (-20)/(-5) - 3 - 4 - 114. Let t = 138 + y. Calculate the remainder when 59 is divided by t.
17
Suppose c = -75*i + 76*i - 25, -2*i + 1 = 5*c. What is the remainder when 1146 is divided by i?
12
Let y = 58 + -17. Suppose -5*c + 209 = -y. Let n = 139 - c. Calculate the remainder when n is divided by 31.
27
Suppose -2*s + 6 = -0, -124 = -4*b - 4*s. Suppose 7*x + 216 = 15*x. Suppose -b*p = -x*p - 157. Calculate the remainder when p is divided by 40.
37
Suppose 5*j - 4*t + 8*t - 515 = 0, 2*j - 5*t = 173. Let g be 292/(-7) - 16/56. Let w = g - -67. What is the remainder when j is divided by w?
24
Suppose 0 = -4*a - k + 526, 8*k - 4*k = 2*a - 254. Calculate the remainder when 396 is divided by a.
3
Let x = -197 - -205. Suppose -26 - 70 = -x*t. Calculate the remainder when 14 is divided by t.
2
Suppose -15*l + 12221 = -4*l. Suppose -9*i = -l - 491. Calculate the remainder when i is divided by 23.
17
Suppose -v = 12 - 6, -4641 = -3*d - 3*v. Calculate the remainder when d is divided by 111.
110
Let a(q) = 15*q - 13. Let d(w) = 9*w - 605. What is the remainder when a(12) is divided by d(71)?
31
Let o(d) = 2*d**2 - 3*d + 4. Let m be -1*(-15)/(-6)*-2. Calculate the remainder when o(m) is divided by (-1 - (-5 + 2) - -1) + 5.
7
Let q = 768 - 500. Suppose -6*h + 2*h = -q. Let t = -33 + h. What is the remainder when t is divided by 20?
14
Let o(m) = -m**3 + 31*m**2 + 11*m - 11. Let f be o(32). Let g = -681 - f. What is the remainder when (-2 + 0/(-3))*-2 is divided by g?
0
Let z(h) = 189*h**2 - 24*h + 55. What is the remainder when z(2) is divided by 376?
11
Suppose 2816 + 534 = 87*j + 305. What is the remainder when 664 is divided by j?
34
Suppose 3*q - 3*w = 12, 4*w = 2*w + 6. Suppose -904 + 141 = -q*u. Calculate the remainder when u is divided by 56.
53
What is the remainder when 1309 is divided by -3 - 3/(-1)*(1798/3)/29?
11
Suppose 0 = i + 3*r - 33 - 10, 0 = 3*i + 5*r - 133. Suppose p = 3*p - i. Calculate the remainder when 45 is divided by p.
22
Let g = 506 - -24. Suppose 24*d - g = 14*d. What is the remainder when 527 is divided by d?
50
Let v = -8 + 29. Calculate the remainder when 5480/44 + 192/(-352) is divided by v.
19
Let t = 3734 + -3653. Calculate the remainder when 645 is divided by t.
78
Let z = 3623 - 3459. Calculate the remainder when z is divided by 3/(-4) + 222/8 + -1.
8
Let b(p) = -p**3 - 26*p**2 + 151*p + 56. Calculate the remainder when 302 is divided by b(-31).
122
What is the remainder when (10 + -6 - -96)*13 is divided by 326?
322
Calculate the remainder when (17 - 27) + 3/(-12)*-10124 is divided by 5.
1
Let l(s) = 6*s + 428. Calculate the remainder when 436 is divided by l(-16).
104
Let m(u) = -23*u + 60. Let t be m(3). What is the remainder when (-12)/(t - -5) + (-566)/(-1) is divided by 38?
37
Suppose 3*w = 4*w - 41. Calculate the remainder when w is divided by 57 + -36 - (0 + 5).
9
Let b = -1 + 7. Let z be (123/82)/((-34)/36 - -1). Let t = 91 - z. Calculate the remainder when t is divided by b.
4
Let q(t) = 10*t**2 + 3*t - 2. Let w = -55 + 120. Suppose -3*i = -w - 121. Calculate the remainder when i is divided by q(1).
7
Let y(h) = -h**3 + 19*h**2 + 20*h. Let r be y(20). Suppose 4*q = -3*p + p - 4, r = -2*p + 2*q + 20. Calculate the remainder when 52/p*(-6)/(-4) is divided by 7.
6
Let d = 15975 + -15564. Suppose -6*o + 4*o = -92. Calculate the remainder when d is divided by o.
43
Let a = 15180 - 14885. What is the remainder when a is divided by 74?
73
Let o(t) = 112*t + 1123. What is the remainder when o(-2) is divided by 60?
59
Let u(j) = -2*j**2 - 64*j + 3. Let t be u(-32). Suppose 130 = t*a + 5*l, 6 + 4 = 5*l. What is the remainder when 115 is divided by a?
35
Let i(s) = 49*s**3 - s + 2. Let u be i(-2). Let o = -366 - u. What is the remainder when 195 is divided by o?
19
Let d(y) = -3*y**2 - 5*y + 7. Let q be d(3). Let u = q - -35. Suppose 3*m - 4*m + 55 = u. Calculate the remainder when m is divided by 29.
26
Suppose 59 + 11 = -5*r. Let t(h) = 2*h + 4. Let w be t(r). Calculate the remainder when 35 is divided by 137/15 + w/180.
8
Suppose 0*z = 4*z - 4*g - 980, -g + 505 = 2*z. Calculate the remainder when 2235 is divided by z.
235
Let y be 3 - (-19 - -5)/7. Suppose -3*p + f = -421, 15 + 688 = y*p - 2*f. Calculate the remainder when p is divided by 37.
28
Suppose -8*x - 560 = -3*l - 7*x, -5*l + x + 936 = 0. Calculate the remainder when l is divided by (-23)/(253/(-33)) - -18.
20
Suppose 513*z + 5047 = 2976343. Calculate the remainder when z is divided by 28.
24
Let y be -12*7/(-84) + (3 - 0). Suppose 2*d = -3*d - m + 161, -y*m = 2*d - 68. Calculate the remainder when 158 is divided by d.
30
Suppose 0 = 521*v - 1260 - 9160. Calculate the remainder when 1884 is divided by v.
4
Suppose 3*i + 4*d = 8*d + 46, -3*d + 18 = 3*i. Suppose 12*r - i*r + 2*g - 132 = 0, g + 5 = 0. Calculate the remainder when 129 is divided by r.
58
Suppose 48 = 2*d + 2*d. Suppose 13 + 107 = 12*p. What is the remainder when (d/5)/(6/40) is divided by p?
6
Let l(n) = 8*n - 103. Let c be l(14). Suppose 0 = c*q - 1996 - 236. Calculate the remainder when q is divided by 36.
32
Suppose 4*s + 286*f = 282*f + 212, 7*f - 146 = -2*s. Let a(i) = -140*i + 8. What is the remainder when a(-7) is divided by s?
43
Suppose 290 - 81 = q. Let x(i) = -i**3 + 20*i**2 - 76*i + 3349. Calculate the remainder when q is divided by x(23).
13
Let g(o) = -o**3 - 53*o**2 + 37*o + 2212. Calculate the remainder when 472 is divided by g(-53).
221
Let w(g) be the third derivative of g**4/8 + g**3/3 - 25*g**2 + 2*g. What is the remainder when 164 is divided by w(2)?
4
Suppose -505 = -14*l + 1049. What is the remainder when 226 is divided by l?
4
Suppose 4*d - 69 - 271 = 2*u, 2*u - 182 = -2*d. Let v = 26 - -21. What is the remainder when d is divided by v?
40
Let n = -71 + 77. What is the remainder when (2 - 5) + n + 32 is divided by 7?
0
Suppose 35 = 3*n + n - 3*b, -4*b - 5 = 3*n. 