by 7.
6
Suppose -a + 2*u + 11 = -0, 2*a + 3*u + 6 = 0. Suppose -153 = 14*q - 447. What is the remainder when q is divided by a?
0
Let v = -10305 + 10327. What is the remainder when 314 is divided by v?
6
Let y(b) = 74*b - 52. Let j be y(6). Let u = j - 372. Calculate the remainder when u is divided by 7.
6
Let z be -1 - (-2)/(6/(-15)). Let o = -44279 - -44297. What is the remainder when 3/z*-4*26 is divided by o?
16
Let g(h) = -h + 1. Let a(y) = -29*y - 10. Let t(u) = a(u) - 4*g(u). Suppose -25*z = -17*z + 24. Calculate the remainder when t(z) is divided by 31.
30
Let h(m) = 20*m**2 + 53*m - 355. Calculate the remainder when h(-20) is divided by 12.
9
Let p(g) = -g**2 + 6*g - 3. Let i be p(4). Suppose -i*b - 5*m = -85, 3*m + 8 = 5*m. Suppose -90 = b*x - 18*x. What is the remainder when x is divided by 7?
4
Suppose 5*n - 293 + 283 = 0, 3*v = 2*n + 197. Calculate the remainder when 352 is divided by v.
17
Let s(t) = -373*t + 2393. What is the remainder when s(6) is divided by 2?
1
Suppose -5*n = -5*x + 150, -5*x - 5*n - 74 = -214. Suppose 193 = 2*p + x. What is the remainder when 489 is divided by p?
79
What is the remainder when 196*-1*657/(-292) is divided by 31?
7
Suppose -13 = 4*v + 3*d - 72, -2*v - 2*d = -28. Let l = 36 - v. What is the remainder when 52 is divided by l?
14
Suppose 16*r - 60*r = 42*r - 7654. What is the remainder when 310 is divided by r?
43
Suppose -11 = -2*v + 1. Suppose 2*i + t = v*i - 59, -71 = -4*i + 5*t. What is the remainder when 38 is divided by i?
10
Let z(o) = o**3 - 13*o**2 - 2*o + 31. What is the remainder when 1/2 - 434*6/(-24) is divided by z(13)?
4
Suppose -78*p + 74*p = -152. What is the remainder when p is divided by 34?
4
Let b(o) = o**2 + 143*o - 5301. What is the remainder when b(32) is divided by 0 - (-3 - -2)*50?
49
Let u be ((-224)/(-6))/(2/6). Suppose -i = -30*i + 2175. Let r = u - i. What is the remainder when r is divided by 8?
5
Suppose 0 = -9*k + 10*k - 28. Suppose -i - 4*x = 0, -4*i + x - 3*x = -k. Let s(o) = 16*o - 389. Calculate the remainder when s(26) is divided by i.
3
Let d be 25*2*(-21)/14. Let t = 87 + d. Calculate the remainder when 20 is divided by t.
8
Suppose -m = -5*u - 35, -226*u + 155 = 5*m - 231*u. Let k(p) = p**2 + 2. Calculate the remainder when m is divided by k(3).
8
Let x(l) = -11*l + 86. Let z be x(9). Let w(a) = a**3 + 13*a**2 - 15*a - 4. Let s be w(z). Suppose 2*g = s + 25. What is the remainder when g is divided by 37?
34
Suppose -90*q + 384 = -74*q. Calculate the remainder when 1567 is divided by q.
7
Let x = 232 + -229. Suppose 0 = x*p + 2*c - 121, 5 = -12*c + 13*c. Calculate the remainder when 135 is divided by p.
24
Let p be (-9 - -3) + (3 - -1). Let h(r) = r**2 + 3*r - 1. Let g be h(-4). What is the remainder when 88 is divided by (p - g - -6)*(-1 + 24)?
19
Let n(b) = 2*b**3 - b**2 - 104*b + 993. What is the remainder when n(13) is divided by 31?
22
Suppose 57*y - 74*y = -544. Calculate the remainder when (28/6)/((-14)/(-273)) is divided by y.
27
Suppose 2*v = q + 38, v + 3 = 3*q + 12. Suppose 2*k = -3*k. Suppose 0 = -k*c + 4*c - 408. What is the remainder when c is divided by v?
18
Let w(f) = -274*f**2 + 6*f - 4. Let d be w(1). Calculate the remainder when 148 is divided by (10/(-40))/(4/d).
12
Let l = -66 - -64. Let f be (-1)/l*-90*1. Let t = 71 + f. Calculate the remainder when t is divided by 12.
2
Let s(q) = 5*q - 27. Let n be s(7). Suppose -n*y + 266 = 90. What is the remainder when 64 is divided by y?
20
Calculate the remainder when 5592 is divided by (-9)/(-15) + 5852/380.
8
Let v(m) = -m**2 + 6*m + 3. Suppose 0*d = -2*d + 10. Calculate the remainder when v(d) is divided by 23/5 + (-14)/140*(-1 + -3).
3
Let n = -7681 - -9018. Calculate the remainder when n is divided by 67.
64
Let y = 11 + -13. Let m = 955 + -948. What is the remainder when (-196)/(-6) - y/(-3) is divided by m?
4
Suppose 690 = 2*q - 344. What is the remainder when q is divided by (4/(-42))/(225/(-175350)) - (-2)/(-9)?
73
Calculate the remainder when 979 is divided by 910/14 - 17 - -12.
19
Calculate the remainder when 69 - ((-2 - -16) + -13) is divided by 14.
12
Suppose 7*x - 5*x - 10 = 0. Suppose v - 205 = -3*v - x*q, 0 = v + 2*q - 49. What is the remainder when v is divided by 19?
17
Let p(g) = 15*g - 301. Let k be p(21). Suppose 0 = -4*c + 5*t + 53, k*c - 9*c = 2*t + 62. Calculate the remainder when 70 is divided by c.
10
Let s(p) = 199*p**3 + 9*p**2 - 26*p + 14. What is the remainder when s(3) is divided by 16?
14
Suppose -320 = -5*s - 5*k, -7*s + 128 = -5*s + 3*k. Suppose -26 - 145 = 3*l. Let w = s + l. What is the remainder when 21 is divided by w?
0
Let x(v) = -80*v**3 + 2*v - 1. Let b be x(1). Let m = -161 - b. What is the remainder when m*(-2 - -4)/((-8)/4) is divided by 14?
12
Suppose -13*y - 4025 + 12514 = 0. Calculate the remainder when y is divided by 20.
13
Suppose -2*q - 116 = -4*a + 28, 5*a - q - 180 = 0. Suppose 1939 = 18*b + 661. What is the remainder when b is divided by a?
35
Suppose 5*s - 68 = -2*g, 5*s = 4*g - 77 + 1. Calculate the remainder when 496 is divided by g.
16
Suppose 346*n - 1212 = 344*n + 2*z, 3*n + 4*z - 1783 = 0. Calculate the remainder when n is divided by 196.
13
Let n = -72 - -102. Suppose -9*r + 11*r = 32. Calculate the remainder when 222/4*r/6 is divided by n.
28
Let n(a) = 290*a - 1097. Calculate the remainder when (-7 + 4)/((-1)/83) is divided by n(4).
60
Let q = 45 - 23. Let z = -937592 - -937655. What is the remainder when z is divided by q?
19
Suppose 0 = -7*x + 13 + 281. Suppose 5*t - 88 = t. What is the remainder when x is divided by t?
20
Let j = 348 + -316. Suppose -6*t + 28 + j = 0. Calculate the remainder when 60 is divided by t.
0
Suppose 0 = v, -2*g = -3*g + v + 89. Let s = -86 + g. Calculate the remainder when -2 + (3 + -4)*-29 is divided by s.
0
Suppose 0 = -45*t + 4072 + 15548. Calculate the remainder when t is divided by 113.
97
Let a(h) = 20*h - 895. Calculate the remainder when 41 - (2 - 2 - 1) is divided by a(46).
17
Suppose -433*i = -438*i + 3*g + 30, 4*i + g - 41 = 0. Calculate the remainder when 618 is divided by i.
6
Let o(k) = 560*k + 4490. Calculate the remainder when 108 is divided by o(-8).
8
Suppose 18*k - 110*k - 75*k = -2338. Calculate the remainder when 5361 is divided by k.
13
Let i = -104 + 267. What is the remainder when i is divided by ((-76)/266)/((-1)/98)?
23
Suppose -5*k - 217 - 38 = 0. Let z be 579/24 + 36 - ((-7)/8 - -1). Let h = k + z. What is the remainder when 51 is divided by h?
6
Suppose 39 = 4*r - 41. Suppose 201*h - 205*h + 8 = 0. What is the remainder when r is divided by (h/(-6))/(8/(-264))?
9
Let u be ((-600)/(-12))/(3 - 0)*6. Suppose -3*b = -7*b + x + 130, -3*b + 2*x = -u. What is the remainder when 87 is divided by 33*(b/12 - 2)?
21
Suppose 100*c = 24911 + 28222 - 16633. Calculate the remainder when 981 is divided by c.
251
Let q(c) = c**3 - 2*c**2 - 9. Let s be q(3). Let f = -6 + 16. Calculate the remainder when (-5 - s) + 5 - (-29 - -1) is divided by f.
8
Suppose -269*l + 80*l + 109652 = -37579. Suppose 6*c - 173 = c - t, -3*t = -2*c + 59. Calculate the remainder when l is divided by c.
31
Suppose -159*b + 225 = -134*b. Calculate the remainder when 7053 is divided by b.
6
Suppose -2*r + 9 = 5*c - 41, -5*r + 2*c + 183 = 0. Suppose -r = -5*t + 15. What is the remainder when 45 is divided by t?
5
Let d(p) be the first derivative of 27*p**3 - p + 9. Let k be d(-1). Suppose 264 = 2*z + k. Calculate the remainder when z is divided by 19.
16
Let f be (-18)/30*(-60 - 5). Suppose -f*p + 44*p - 100 = 0. What is the remainder when 76 is divided by p?
16
Suppose 3*t - 3*q = 57, -4*q = -156*t + 151*t + 95. Calculate the remainder when 587 is divided by t.
17
Suppose -2*w + n = -1725, -4*n = 20*w - 24*w + 3464. Calculate the remainder when 2595 is divided by w.
18
Let h = -8511 - -8679. What is the remainder when h is divided by (25/(-15))/((-1)/3)?
3
Let p be (-2)/11 + (-140)/(-44). Suppose -p*i = 4*j - 282 + 16, 149 = 2*i - 3*j. Suppose -96 = -9*b + b. What is the remainder when i is divided by b?
10
Let f = 43 - 25. Let k = 397 + -383. Suppose -37*a = -k*a - 69. What is the remainder when f is divided by a?
0
Let s(b) = -64*b - 181. Suppose -15 = 3*z, 4*v - 3*z - 192 = -7*z. What is the remainder when v 