- 5*y + 124. Suppose -2*f + 5*k + y = 0, f + 4 = -f - 2*k. Calculate the remainder when 5 is divided by f.
2
Let y(l) = -8*l + 339. Calculate the remainder when 165 is divided by y(38).
25
Let t(n) = -n**2 - 31*n + 45. Calculate the remainder when t(-25) is divided by 66.
63
Suppose 16 - 6 = -5*k. What is the remainder when ((-83)/(-2))/(k - 10/(-4)) is divided by 42?
41
Let o(y) = -y**3 - 5*y**2 + 3*y - 5. Let s(k) = -k**2 - 15*k + 39. What is the remainder when s(-16) is divided by o(-6)?
10
Let k be (-2)/(-6) - (-42)/9. Suppose k*l - 78 + 28 = 0. What is the remainder when (-25 - 1)/(2*(-2)/4) is divided by l?
6
Suppose 2*j + 437 = 1289. Suppose -j = -2*n + d, 0 = n + 4*d - 5*d - 211. Calculate the remainder when n is divided by 36.
35
Suppose 0 = -5*g + x + 148, -2*g = 3*g + x - 142. What is the remainder when g is divided by 10?
9
Let d = -9 + 14. Suppose 3*v + d*o - 34 = 4*o, -o - 62 = -5*v. What is the remainder when 105/63*276/10 is divided by v?
10
Suppose -68020 = 150*r - 188*r. What is the remainder when r is divided by 64?
62
Suppose -474 = -4*p + 50. Suppose 25*n = -4*y + 27*n + 18, 2*y - 29 = -3*n. What is the remainder when p is divided by y?
5
Let m(w) = -2*w + 4. Let g be m(-3). Suppose g*u - 100 = -0*u. Let a(p) = p**2 + p - 2. What is the remainder when u is divided by a(-3)?
2
Let r(c) = 2*c + 3. Let a be r(0). Suppose -x = -5, 33 = 4*d + 2*x + a*x. Suppose 0*h - 38 = -d*h. What is the remainder when h is divided by 5?
4
Calculate the remainder when ((-951)/(-2))/((-3)/(-6)) is divided by 56.
55
Let w(v) = -v + 9. Let o be w(7). Suppose -3*y - 54 = -3*b, 0*b + y = -o*b + 27. Calculate the remainder when b is divided by 9.
6
Let p(j) = 5*j**2 + 5*j + 7. Let i be p(-2). Suppose -7*y - i + 45 = 0. Calculate the remainder when 13 is divided by y.
1
Let p = 21 + -8. Suppose 3*y = 34 - 163. Let w = y + 51. Calculate the remainder when p is divided by w.
5
What is the remainder when -273*(-2)/(-15)*(-10)/2 is divided by 46?
44
What is the remainder when 117 is divided by ((-5)/3 - -2)/((-1)/(-30))?
7
Suppose 5*n = -20, 0*i - i - 5*n - 11 = 0. What is the remainder when i is divided by 7?
2
Let d(h) = h + 52. Let l be d(6). Suppose 4*g = g + 12. Suppose 5*o - 7 = -p + l, -4*o = g*p - 52. Calculate the remainder when 38 is divided by o.
12
Suppose -5*z = -4*u - 2122, 14*u - 18*u = 3*z - 1254. Calculate the remainder when z is divided by 53.
51
Let o(k) = k**3 - 19*k**2 - 44*k + 106. What is the remainder when o(21) is divided by 17?
13
Let s(b) = -87*b + 13. Calculate the remainder when 495 is divided by s(-1).
95
Suppose -22 - 208 = -23*g. What is the remainder when 19 is divided by g?
9
Suppose -130*h - 48 = -140*h + 2*v, -4*h = 5*v - 25. Let l = -10 - -17. What is the remainder when l is divided by h?
2
Let g = -57 + 96. Let k = 1972 + -1965. What is the remainder when g is divided by k?
4
Let k(x) = x**3 + 9*x**2 + 6*x - 10. Calculate the remainder when 121 is divided by k(-6).
59
Let m(a) = a + 1. Let d be m(5). Let b be (2 + -334)*d/(-8). Suppose 0 = -6*w + 3*w + b. What is the remainder when w is divided by 21?
20
Suppose -268 - 209 = -9*v. Let d = -38 + v. Calculate the remainder when 219*(-3 + 2)/(-3) is divided by d.
13
Suppose -2*d = 5*z - 214, 2*z = -13*d + 14*d - 98. Let t = 70 - 44. What is the remainder when d is divided by t?
24
Let l(w) = -57*w - 69. Calculate the remainder when l(-11) is divided by 56.
54
Suppose 2*i = -6*f + 3*f + 19, -60 = -5*i - 5*f. Calculate the remainder when 131 is divided by i.
12
Suppose 0*d + 5 = d. Let z be 2 + 693/15 + (-2)/10. Suppose -z*y + 91 = -41*y. Calculate the remainder when y is divided by d.
3
Let v(i) = 5*i**3 - 5*i**2 + 13*i - 16. What is the remainder when 145 is divided by v(2)?
25
Let a = 0 + -30. Let s be ((-220)/a)/(1/9). Suppose 0*n + 5*n = -j + s, -3*n = 4*j - 281. What is the remainder when j is divided by 18?
17
Suppose 0 = -v - s + 6, 2*s = -3*s + 15. Let k(u) = 8*u - 6. Calculate the remainder when k(v) is divided by ((-3)/(12/4))/(1/(-5)).
3
Suppose -88 = -8*h + 168. Calculate the remainder when 415 is divided by h.
31
Suppose 3*b + 2 - 17 = 0. Calculate the remainder when 8 is divided by b.
3
Suppose -880 = -11*i - 11*i. What is the remainder when 72 is divided by i?
32
Let c = 19 - -28. Let h(d) = 111*d - 3098. Calculate the remainder when c is divided by h(28).
7
What is the remainder when 362 is divided by ((-390)/45)/((-6)/63)?
89
Let m = 46 - 18. Suppose -5*b + 1 = -9. Suppose 0 = -2*y - 11 + 1, b*q - 4*y - 182 = 0. Calculate the remainder when q is divided by m.
25
Suppose 4*i + 41 = 181. What is the remainder when i is divided by (-132)/(-9) - (-2)/(-3)?
7
Calculate the remainder when (-2)/5 + (9782/5)/1 is divided by 20.
16
Let g(a) = a**3 + 3*a**2 - a. Let d be g(2). Let v = d - 13. What is the remainder when 8 is divided by v?
3
Let c(x) = -x + 16*x**3 + 2*x - 13*x**2 + 12*x**2. Let u(l) = -l**2 + 11*l + 11. Calculate the remainder when u(9) is divided by c(1).
13
Let w = 116 + -39. Suppose 0 = -g + 4*f + 61, 29*g + 2*f + 51 = 30*g. What is the remainder when w is divided by g?
36
Let v = -18 + 25. Let l(a) = -a + 9. Let p be l(6). Let r = p + 0. Calculate the remainder when v is divided by r.
1
Let q(t) = t**3 - 11*t**2 - 16*t + 21. Calculate the remainder when q(13) is divided by 26.
21
Suppose -3*h - 5*d + 191 = 0, 29*h = 34*h - 4*d - 306. What is the remainder when h is divided by 55?
7
Let p(r) = r**3 + 2*r**2 - 6*r - 5. Let j be p(-3). Suppose 4*w - 124 = j*a, w = 2*w + 3*a - 11. Calculate the remainder when w is divided by 15.
11
Let m = -177 - -179. Let v = -15 + 17. What is the remainder when m is divided by v?
0
Suppose -32*w - 17*w = -3332. Calculate the remainder when 2854 is divided by w.
66
Let q = 112 + -117. What is the remainder when ((-2)/(-4))/((-1)/(-58)) is divided by 90/(q/(-1)) - 3?
14
Suppose -11 = -3*u + 5*x - 0, 5*u - 9 = -x. Suppose -395 = -3*b - u*b. Let t = -51 + b. Calculate the remainder when t is divided by 6.
4
Let t = 122 - 110. What is the remainder when 20 is divided by 8*(-5 + 69/t)?
2
Suppose -3*s = -2*w + 193, -3*w + 2*s - 38 + 335 = 0. What is the remainder when w is divided by 31?
8
Suppose 0 = q - 3*t + 8*t + 5, t + 1 = 0. Suppose -8 - 11 = f + 5*y, 5*y + 25 = q. Let u = -19 - -22. What is the remainder when f is divided by u?
0
Let t = -417 - -435. Calculate the remainder when 104 is divided by t.
14
Let l(f) = f**3 - 7*f**2 + f - 5. Let b be l(7). Let s be (-1)/(3/2 - b). Suppose 28 + 14 = s*u. What is the remainder when u is divided by 12?
9
Suppose 3*n = -2*n + 25. Let r = 9 + -9. Suppose r = n*w - 7 - 13. Calculate the remainder when 11 is divided by w.
3
What is the remainder when 8 - 140/15 - (-712)/3 is divided by 79?
78
Let v = 72 - 39. Suppose 0*m + v = m + 5*u, 19 = 3*m - 5*u. Calculate the remainder when 38 is divided by m.
12
Let f(n) = -n**2 - 26*n + 575. What is the remainder when 49 is divided by f(14)?
4
Let r(m) = -m**3 + 14*m**2 + m - 11. Let y be r(14). Let p be (4/(-12) + 3)*y. Suppose -p*u = -4*u - 108. What is the remainder when u is divided by 10?
7
Suppose -5*n = -146 - 364. Calculate the remainder when n is divided by 7.
4
Let h be 872/(-10)*(-10)/4. Let d = h - 312. Let y = 142 + d. Calculate the remainder when y is divided by 17.
14
Suppose 2*t - 3*t + 2 = 0. Let k(o) = 9*o**2 - o - 1. Calculate the remainder when k(t) is divided by -5 + (4 - 2) + (17 - -4).
15
Let b(c) be the second derivative of 3*c**3 - 59*c**2/2 - 12*c. What is the remainder when 142 is divided by b(6)?
44
Let t = 94 - 58. Suppose 4*g - 37 + 7 = -p, 2*p - 4*g = t. Calculate the remainder when 75 is divided by p.
9
Suppose 118 = 2*i - 2*p, 5*i + 4*p = 4*i + 49. Calculate the remainder when 471 is divided by i.
15
Suppose 0 = 4*l + 4*i - 124, -3 = -3*i + 4*i. Suppose -76*y = -75*y - 13. What is the remainder when l is divided by y?
8
Suppose -17327 = -56*c + 36097. Calculate the remainder when c is divided by 11.
8
Let q(h) = -7*h**2 + 428*h - 24. What is the remainder when 60 is divided by q(61)?
23
Let g(k) = -21 + 4*k**2 + 6*k**2 + 23 - 2*k. Calculate the remainder when 17 is divided by g(1).
7
Suppose -27*i + 3210 - 780 = 0. Calculate the remainder when 280 is divided by i.
10
Let o(p) = 30*p**3 + 1. Let k