ppose 78*r = 76*r. Let f = -27 - -7. What is the remainder when (r - 9*-9)*f/(-30) is divided by 14?
12
Let n(v) = v**3 + 3*v**2 + 3. Let o be n(-3). Suppose 2*i - z - 541 = 0, -2*i = i - o*z - 819. What is the remainder when i is divided by 30?
28
Suppose -3*x - 15 = 0, t + 79 = 5*t - 3*x. Let n = 40 - t. Suppose 25*g - 13 = n*g. What is the remainder when g is divided by 5?
3
Suppose -4*z - 74 = -f, -5*f + 649 = -4*z + 247. What is the remainder when 314 is divided by f?
68
Suppose -281*l + 243200 = 194*l. What is the remainder when l is divided by 16?
0
Calculate the remainder when (-1)/(-2 - 5) + (-54)/(-14) is divided by 1081/282 + (-1)/(-6).
0
Let j(s) = 5*s + 32. Let a(x) = -x**2 - 2. Let g be a(-2). Let p be j(g). Calculate the remainder when (1/2)/(p/376) is divided by 24.
22
Let d be 3/(((-27)/(-666))/(-1)). Calculate the remainder when 45 is divided by (10/3 + -2)/(d/(-666)).
9
Let d = 488 - 473. Suppose d*b - r - 13 = 14*b, 57 = 5*b - 3*r. Calculate the remainder when 21 is divided by b.
3
Let v(k) = -5*k**2 + 23*k + 1. Let p(s) = 24*s + 9*s**2 - 53*s - 3 - 15*s. Let r(l) = 4*p(l) + 7*v(l). What is the remainder when 42 is divided by r(16)?
9
Suppose 2*q = -i + 1, 3*q - 5 = -2*i - 1. What is the remainder when 3*507/(-18)*q is divided by 93?
76
Let y = 8 - -94. Suppose t - 78 = -2*t. Suppose 7*p - 6*p = t. Calculate the remainder when y is divided by p.
24
Let l(o) = -o**3 - 23*o**2 - 40*o + 47. Let u be l(-21). Suppose 4*j - 140 = -u*s, s - 4 = -j + 25. What is the remainder when 307 is divided by s?
19
Suppose -25*j - 14 = -27*j. Suppose -2*o + 4 = 0, -5*c = 5*o - o - 78. Calculate the remainder when c is divided by j.
0
Let w(k) = 4*k**2 + 278*k - 2449. Calculate the remainder when w(9) is divided by 107.
56
Let l(g) = 5*g + 28. Let b(q) = -q + 15. Let t be b(-2). What is the remainder when l(t) is divided by 4?
1
Suppose -2*u + 11 + 41 = 0. Let v = 81 - -20. Calculate the remainder when v is divided by u.
23
Suppose 3*h = 2*s - 199, 28*h = s + 25*h - 92. Suppose 0 = -90*o + s*o - 374. What is the remainder when 87 is divided by o?
21
Let y = -184 - -187. Suppose x + 1 = -3*o, y*x - 21 = -o - 0*o. What is the remainder when 27 is divided by x?
3
Suppose -45*v + 44*v + n + 1684 = 0, 0 = -4*v - 2*n + 6724. What is the remainder when v is divided by 38?
10
Let r = 11074 + -10919. Calculate the remainder when 360 is divided by r.
50
Let i(m) = m**2 - 5*m + 1. Let n be i(4). Let b(w) = -2*w**3 - 4*w**2 - 3*w - 3. Let p(z) = -28*z + 65. What is the remainder when b(n) is divided by p(2)?
6
Let m = 1509 - 1493. Let o = -375 + 532. Calculate the remainder when o is divided by m.
13
What is the remainder when -56*((-26)/(-52) - 18) is divided by 156?
44
Let k = 111 + -94. Suppose -3*j - 504 = 3*f, 0 = f + 4*j + 58 + 104. Let l = -20 - f. Calculate the remainder when l is divided by k.
14
Let s = 2648 + -2645. Let x be (-4)/14 + 16/7. Suppose s*q + 2*p - 52 = 0, x*p - 56 = -3*q - 2*p. Calculate the remainder when 29 is divided by q.
13
Let d be ((-150)/(-4))/((39/3)/(-156)). Let z = -346 - d. What is the remainder when 622 is divided by z?
102
Let s(q) = 2*q**2 - q + 10. Suppose -500 = b - 11*b. Let r = b - 46. What is the remainder when s(r) is divided by 10?
8
Let b(d) = -d**3 - 18*d**2 + 18*d - 8. Let i be b(-19). Calculate the remainder when (4 + i/(-3))/(2/90) is divided by 5.
0
Let u = -57 - -109. Suppose -4*t - 145 = 2*i - 129, 0 = -3*i - 4*t - 4. What is the remainder when u is divided by i?
4
Suppose 8*j = -j + 1080. Let a = j - -258. What is the remainder when a is divided by 20?
18
Let y = 3128 - 2270. Calculate the remainder when y is divided by 84.
18
Let h = 407 + -347. Suppose -2*k + 64 = 3*l - 4, 2*k - h = -l. What is the remainder when k is divided by 5?
3
Let p(s) = s**3 + 11*s**2 - 10*s - 9. Calculate the remainder when 329 is divided by p(-11).
26
Let r(i) = 46*i + 463. What is the remainder when 202 is divided by r(-7)?
61
Suppose -11*i = -i - 230. Let j(v) = -v**3 + 22*v**2 + 25*v - 25. Calculate the remainder when j(i) is divided by 744/60 + (-2 - 8/(-5)).
9
Suppose 0 = 6*i - 36. Let r be (9 - 3)/(((-27)/i)/(-3)). What is the remainder when 19 is divided by (r/(-2) - -3)/(24/168)?
5
Suppose 528 = m + 2*i, -2*i = 4*m - 1970 - 124. What is the remainder when 1049 is divided by m?
5
Let x be ((-120)/18)/(-10) - (-76)/3. Let g = 73 + x. Let v(s) = 6*s - 5. Calculate the remainder when g is divided by v(5).
24
Let n = -38 - -46. Suppose 4*d + n = 12. What is the remainder when 1 is divided by d?
0
Let s = -1384 - -1454. Calculate the remainder when 290 is divided by s.
10
Suppose 2*n - 89 = 32*y - 57*y, 0 = 5*n - 2*y - 287. Calculate the remainder when 1584 is divided by n.
45
What is the remainder when 98 is divided by (-4)/((-12)/9)*(-1400)/(-168)?
23
Let c = 58 - 56. Let v(a) = -a**2 - 7*a - 27. Let i(o) = 3*o**2 + 13*o + 53. Let u(n) = c*i(n) + 5*v(n). What is the remainder when 7 is divided by u(12)?
0
Let s(r) be the first derivative of r**2/2 - 11. Let d be s(-2). What is the remainder when 185 is divided by 3 - (16/20 - d)*-10?
30
Suppose 0 = -4*c + 16, -96*b = -101*b + 3*c + 1128. What is the remainder when b is divided by 10?
8
Suppose -979 - 2041 = -116*h - 4. Calculate the remainder when 6/(-21) + (-716)/(-7) is divided by h.
24
Let u(d) = 18*d**2 - 21*d - 241. Calculate the remainder when u(-9) is divided by 29.
14
Let k(w) = 26*w**2 - 86*w + 292. What is the remainder when k(4) is divided by 349?
15
Let v(l) = -l**2 - 2*l - 1. Let m(f) = 7*f**3 - 7*f**2 + 3*f - 6. Let q(w) = m(w) - 5*v(w). Calculate the remainder when q(3) is divided by 5.
4
Let j be (2/1 - (-9 + 9)) + 0. Suppose -w = j*w - 54. Let u(h) = 51*h. Calculate the remainder when u(1) is divided by w.
15
Suppose 4*k = d - 696, 3*d - 5*k = d + 1398. What is the remainder when d is divided by 15?
14
Let l = 678 - 1080. Let s = -337 - l. Calculate the remainder when s is divided by 36 - 1/(-1)*-2.
31
Let w = 32 + -9. What is the remainder when 80*1 + (37 - 29) is divided by w?
19
Let l be ((-14)/63 - 22/(-18)) + -43. Let o(z) = z**3 + 15*z**2 + 15*z + 26. Calculate the remainder when o(-14) is divided by (l/28)/(4/((-80)/6)).
2
Let h(u) = 4*u**2 + 7*u + 555. What is the remainder when h(0) is divided by 212?
131
Let i = -3321 + 3776. What is the remainder when i is divided by 33?
26
Suppose 0 = -18*x - 12*x + x + 1508. What is the remainder when 4883 is divided by x?
47
Let g = -9 + 9. Suppose -5*b - 34 - 171 = g. Let f = 56 + b. Calculate the remainder when 56 is divided by f.
11
Let q = -64 - -73. Let v(x) = -x - 20 + x**3 + q + 4*x**2 + 4. What is the remainder when v(-3) is divided by 3?
2
Suppose -3*t + 583 = u, 2*u = t - 48 - 151. Let h(f) = -17*f + 771. What is the remainder when t is divided by h(45)?
3
Calculate the remainder when 34 - ((-32)/(-4) - 24)/2 is divided by 16.
10
Suppose 0 = -8*m + 13998 - 9846. Calculate the remainder when m is divided by 52.
51
Suppose 5*r + 3*n = n + 676, -5*n = -2*r + 253. What is the remainder when 308 is divided by r?
40
Let p = 17159 - 16894. What is the remainder when 1048 is divided by p?
253
Calculate the remainder when 1*19 + (846 - 140) is divided by 125.
100
Let m be (0 - -1)/(-1) + -3. Suppose 65*y = 89*y + 528. Let j = m - y. What is the remainder when 31 is divided by j?
13
Let m(u) = 460 - 209 + u**2 - 199 + 4*u. Suppose -3*x = -x. What is the remainder when m(x) is divided by 14?
10
Let l = 23037 + -21386. What is the remainder when l is divided by 59?
58
Let v be (-1)/(105/(-55) - 6/(-3)). Calculate the remainder when 5*(2/15)/(v/(-99)) is divided by 2.
0
Suppose -4*i = 3*n - 371, -629 = -5*n + 4*i - 0*i. Suppose -11*q = -n - 62. Suppose -100 = -q*y + 53. Calculate the remainder when 26 is divided by y.
8
Let t(j) be the first derivative of j**3/3 + j**2 - 9*j - 3. Let n(u) = 2*u**2 + 20*u - 75. Let p be n(-13). What is the remainder when 10 is divided by t(p)?
4
Suppose -122*l + 95*l = -162. What is the remainder when 2/(-1) + (-2 - -15) is divided by l?
5
Let a(n) = 6*n**2 - 5*n + 3. Calculate the remainder when a(3) is divided by (-14752)/(-1383)*(-6)/(-4).
10
Let v = -51 - -55. Suppose -v*y = -y - 15, 2*c - y - 47 = 0. What is the remainder when c is divided by 10?
6
Let o be (869/33)