e 6*t - 96 = 4*t + 2*w, -142 = -3*t + 5*w. What is the remainder when (-13)/(21/t - (-4)/(-7)) is divided by 47?
44
Let m = -3064 - -3100. What is the remainder when m is divided by 6?
0
What is the remainder when 1254 + -1 + -26 + 30 is divided by 70?
67
Let n(b) = -68*b + 641. Suppose p + 1 = -1. Calculate the remainder when n(8) is divided by (25/p)/((-2)/4).
22
Let s(r) = r**3 + 5*r**2 + 3*r + 6. What is the remainder when ((-2936)/18)/((-3544)/7974) is divided by s(-4)?
7
Let v(y) = 52*y + 922. What is the remainder when v(-16) is divided by 4?
2
Let g(z) = -z**3 + 26*z**2 + 13*z + 15. Let d be g(26). What is the remainder when (-90)/72 + d/4 is divided by 13?
9
Let x(q) = 9*q - 12. Let f(a) = 5*a - 7. Let v(g) = -7*f(g) + 4*x(g). Let y be v(1). What is the remainder when -10*(0 + 44/(-5)) + y is divided by 13?
12
Let l(d) = 2*d**2 - 10*d + 9. Suppose 3*o + 3*r - 5 - 106 = 0, -221 = -5*o + 4*r. Let i = o - 24. What is the remainder when l(9) is divided by i?
13
Suppose 5*t - t = -2*s + 36, 5*s - 4*t - 34 = 0. Let d = -620 + 672. What is the remainder when d is divided by s?
2
Suppose -10*h = -5*a - 470, 2*h + 4*a + 42 = 166. What is the remainder when 97 is divided by h?
47
Let n(z) = 81*z + 329. Calculate the remainder when 4 + (-486)/(-63) + (-4)/(-14) is divided by n(-4).
2
Let m = 230 - 256. Calculate the remainder when 33 is divided by m/39*(63/(-2) + 0).
12
Suppose 6*k = 9*k. Suppose 2*m + 0*t - 4*t = -2082, k = 3*m + 2*t + 3099. Calculate the remainder when 114 is divided by m/30*((-16)/6 + 2).
22
Suppose 16067 = 1443*y - 18565. Let x(v) = -23*v - 1. What is the remainder when x(-2) is divided by y?
21
Let v(x) = 6*x**2 - 98*x + 300. What is the remainder when 170 is divided by v(13)?
10
What is the remainder when 14716/3 - -1 - (-396)/594 is divided by 1225?
7
Suppose -4*k + 18 = -4*o + 42, 4*k = 3*o - 20. Let g be 1/(o*(-3)/(-12)). Suppose 5*l + 6 = v - 5, v + g = -l. What is the remainder when 2 is divided by v?
0
Let z(o) = o**3 + 17*o**2 - 27*o - 551. What is the remainder when 10683 is divided by z(-16)?
134
Calculate the remainder when 1530 is divided by 2/(-16) + 12419*11/968.
120
Suppose -4*z - 653 = -125. Let d = z - -144. Suppose -30*x + 34*x = 92. What is the remainder when x is divided by d?
11
Suppose 3*i - 9 = -3*o, -2*i - 6 = 5*o - 18. Let a be ((-4524)/9 + o)*12/(-8). Suppose 5*l - a = 439. Calculate the remainder when l is divided by 48.
46
Suppose -5*s - 290 = -5*z, -s - 2*s = 2*z + 184. Let p = s + 101. Let c = p - 20. What is the remainder when 83 is divided by c?
20
Suppose 1818*l - 910 = 1792*l. Calculate the remainder when 543 is divided by l.
18
Calculate the remainder when ((-17)/(-4))/(1/4) is divided by 6/(-9) + (-957)/(-99).
8
Suppose 22 = -8*r + 10*r. Let y be (-2270)/(-22) - 2/r. Let m = -78 + y. What is the remainder when m is divided by 10?
5
Calculate the remainder when 1182 is divided by 3/24 - (-10*1 + 13373/(-344)).
6
Suppose h + 197 = 3*t, -138 = -4*t + 2*t - h. Suppose -2*b = -8, 0 = -4*f + 5*b - b + 1052. Calculate the remainder when f is divided by t.
66
Suppose -178587 = -32*o + 195602 - 46541. What is the remainder when o is divided by 133?
131
Let o = -6205 - -7138. Calculate the remainder when o is divided by 14.
9
Suppose -63*c + 62*c - 3*j + 597 = 0, -2*c = -3*j - 1239. What is the remainder when c is divided by 70?
52
Let u = -29 + 47. Let k(p) be the second derivative of 8*p**3/3 - 25*p**2/2 + 17*p. What is the remainder when k(7) is divided by u?
15
Let x(o) = -o**3 - 10*o**2 - 6*o + 21. Let c be -3 + -5 + 10 + -12. What is the remainder when x(c) is divided by 30?
21
Suppose -x - 4*z + 60 = -124, 3*x + 2*z - 592 = 0. Suppose 3*p - 2*p - 34 = 0. Calculate the remainder when x is divided by p.
30
Suppose -3*v + 2*y + 36 = 0, 4 = -v + 4*y + 26. What is the remainder when 2627 is divided by v?
7
Let t(k) = 3*k**2 + 15*k - 185. Let x = -92 - -162. Calculate the remainder when x is divided by t(-11).
5
Calculate the remainder when 469 is divided by (-238)/(-3) - 4121/951.
19
Suppose -k + 35 = -346. Let r = k - 347. Suppose -42 = -4*m - 3*o, o = 4*m - 3*m - 7. What is the remainder when r is divided by m?
7
Suppose 0 = -34*k + 1819 + 323. What is the remainder when 1942 is divided by k?
52
Let z(o) = o**2 - 12*o - 20. Suppose -5*p = 6 + 44. Calculate the remainder when 14/35 + (-536)/p is divided by z(14).
6
Suppose 59*p = 61*p - 140. Let t = 72 - p. Suppose 4*b - 3*a = 4, 0*b + 2*b - 4*a + 8 = 0. Calculate the remainder when b is divided by t.
0
Let c(a) = a**3 - 2*a**2 + 5*a + 27. Suppose r - 5*f = -4 + 18, 3*f = 5*r - 4. Let l = 6 + r. What is the remainder when c(0) is divided by l?
2
Suppose -439 = 721*w - 4768 - 1439. Suppose -3*f = -5*g - 35, 4*f - 5 = 5*g + 35. Calculate the remainder when w is divided by f.
3
Let j(g) = -4*g + 386. What is the remainder when 1479 is divided by j(90)?
23
Suppose 0 = 7*v - 5*v - 10. Suppose -3*l + 399 = 4*b, -v*l = b - 146 - 519. Suppose 0 = -5*h - 2*h + l. What is the remainder when h is divided by 4?
3
Suppose 58*j + 5*x = 60*j - 133, -213 = -3*j + 3*x. What is the remainder when 5843 is divided by j?
71
Let m be -2*(-5)/(-5) + 7. Let c = 7 + m. What is the remainder when 78 is divided by c?
6
Suppose -1086 = -2*f + 5*b, 2*f + 76*b = 74*b + 1100. Calculate the remainder when f is divided by 484.
64
Let s be -9*(-16)/8*1. Let n(j) = j**2 - 17*j + 17. Calculate the remainder when 93 is divided by n(s).
23
Let g be (6/9)/((-3)/(-54)). Suppose -2*i + 8 = -3*c + 38, g = -4*i. Let n(d) = 4*d - 38. What is the remainder when n(14) is divided by c?
2
Let j be (-24)/4*(1 + 6/(-4)). Suppose 2*b = 2*d, 2*b + 3 = j*b. Suppose 0 = -5*u + 20, -v - d*u - u + 151 = 0. What is the remainder when v is divided by 46?
43
Let x = -11 + 62. Suppose 10*p - 49 = x. What is the remainder when 256/p - 27/45 is divided by 9?
7
Suppose 92 + 12 = 3*g + 2*n, 2*g + 4*n = 72. What is the remainder when g is divided by 10?
4
What is the remainder when 2757 is divided by (-2 + 4)*210/6 + -10?
57
Suppose 19*k = 18*k + 79. Let t = k + -80. Let c(p) = -8*p**3 - 3*p - 3. Calculate the remainder when 21 is divided by c(t).
5
Suppose 0 = 5*p - 11*c + 15*c - 18, 0 = 4*p - 5*c + 2. Suppose -3*s = -f + 639, 3*s - 3231 = -p*f - 3*f. Calculate the remainder when f is divided by 54.
51
Suppose 3*z = 2*f + 2*f + 109, 40 = -f + 5*z. Let x = -58 - f. Calculate the remainder when 6/x + (-904)/(-11) is divided by 28.
26
Let a = -40 - -50. Let p(h) be the second derivative of h**4 - h**3 + h**2 - 10*h. What is the remainder when p(2) is divided by a?
8
Suppose m = 3, -2*v + 21 = m + 4*m. Let r(l) = -7*l + 26. Let c be r(v). Suppose 48 = c*d - 12. Calculate the remainder when 23 is divided by d.
11
What is the remainder when (-47772)/(-16) + 2/12 + 1/12 is divided by 61?
58
Let k be (-5)/(25/(-20)) + 2. Let y be k/(-8) - 54/(-72). Suppose 0 = -u, y = -0*i + i - u - 85. Calculate the remainder when i is divided by 22.
19
Suppose 8 = 2*j - 5*p, -5*j - 11 = p - 4. Calculate the remainder when (6/j)/((-2)/27) is divided by (13/((-65)/10))/((-44)/616).
25
Let k(j) = j**2 - 10*j + 17. Let f be k(9). Suppose -37*i + 24 = -33*i. Suppose -i*g + 128 = f. What is the remainder when 35 is divided by g?
15
Calculate the remainder when 217 is divided by ((-1092)/(-13) + 1)*(1 - 0).
47
Let r(n) = 4*n**3 - 19*n**2 + 37*n + 85. What is the remainder when r(8) is divided by 391?
40
Let c(t) = t**2 + 3*t + 3. Let p be c(0). Let b(q) = p*q + 24 + 26 - 31 + 12. What is the remainder when b(8) is divided by 15?
10
Suppose 3745 + 2510 = 13*p + 2*p. What is the remainder when p is divided by 81?
12
Let m = -331 + 480. Let n = 131 - 92. Calculate the remainder when m is divided by n.
32
Suppose 0 = -2*w + b + 2524, 9*w - 14*w - 5*b + 6295 = 0. What is the remainder when w is divided by 139?
10
Let i be -506 + 44 - 2*1. Let t = i + 514. What is the remainder when 298 is divided by t?
48
Let j(k) = -51*k**3 + 18 - 21*k - 41*k**2 + 107*k**3 - 54*k**3. What is the remainder when j(21) is divided by 13?
5
Suppose -5*k + 49 = 1534. Let x = 317 + k. Calculate the remainder when 73 is divided by x.
13
Suppose 11*c + 866 = 13*c. Let h = 463 - c. What is the remainder when h is divided by 14?
2
Let r = -234 + 242. Calculate the