k, 5*c + t*k + k = 210. Calculate the remainder when c is divided by 21.
20
Let t(l) = 26*l**2 - 2*l + 3. Suppose 19*u - 17*u = 214. What is the remainder when u is divided by t(1)?
26
Suppose 0 = 4*l - 0*l - 8. Suppose -l*f + 17 = -11. Suppose -11*q - q = -288. Calculate the remainder when q is divided by f.
10
Suppose -10*k + 1560 = 440. What is the remainder when k is divided by 29?
25
Let n(f) = f**3 + 4*f**2 - 5*f - 5. Suppose -21*l = -6*l - 375. Calculate the remainder when l is divided by n(-4).
10
Suppose 6*j + 36 = 5*j. What is the remainder when j*((-18)/4 + 3) is divided by 8?
6
Let r(d) = -16*d**2 - 339*d - 46. Calculate the remainder when 297 is divided by r(-21).
8
Let p(f) = -f + 15. Let t be p(13). Suppose -2*q + 5*o = 10, 0 = -2*q + o - t + 8. Suppose -58 - 17 = -q*j. What is the remainder when j is divided by 8?
7
Suppose -4*f + 6*f - 3*b - 18 = 0, 3*f - b = 13. What is the remainder when 180 is divided by f?
0
Suppose -2*n + 7 = c - 4*n, -4*n = 5*c - 7. Suppose 0 = c*a - 0*a - 4*r - 83, 2*r + 73 = 3*a. What is the remainder when a is divided by 8?
5
Suppose 0 = j - 8 + 3. Suppose j*g - 42 = 68. Let h(k) = k**2 - k + 2. What is the remainder when g is divided by h(3)?
6
Let s(w) = -10*w + 71. What is the remainder when 187 is divided by s(5)?
19
Suppose 0 = -0*c + 7*c - 728. Calculate the remainder when c is divided by 36.
32
Let r be 6/((-36)/15)*-10. Let z = r + -6. What is the remainder when 62 is divided by z?
5
Suppose -x + 14 = u, 2*u + 0*x + x = 31. Suppose -41*j + 1047 = -921. Calculate the remainder when j is divided by u.
14
Suppose -9*t + 6*t = -5*v + 39, 3*v - t = 21. What is the remainder when 511 is divided by v?
1
Suppose 322 = -4*a + 830. Let o(r) = 26*r**2 - r - 1. What is the remainder when a is divided by o(-1)?
23
Calculate the remainder when -9*(-13)/((-78)/(-22)) is divided by 11.
0
Let p(i) = 5*i**3 - 2*i**2 + i - 1. Let m be p(2). Suppose -32*t = -m*t + 16. What is the remainder when 31 is divided by t?
15
Let h(r) = -r**2 + 31*r - 146. What is the remainder when 25 is divided by h(24)?
3
Let d = -27 + 44. What is the remainder when 284 is divided by d?
12
Suppose 141*r + 1740 = 170*r. Calculate the remainder when 204 is divided by r.
24
Let g be (-2 + -1 + -4)*1. Let x = g - -13. What is the remainder when 35 is divided by x - (-4 + 2/2)?
8
Suppose 5*h = -2 + 7. Let m be 3 - h - (-1 - -1). Suppose 4*k - 13 = -j + m*k, -20 = -5*j - k. What is the remainder when j is divided by 3?
0
Let v(u) = u**3 + 40*u**2 - 226*u - 28. Let t(n) = -5*n**3 + n**2 - 2*n. Calculate the remainder when t(-2) is divided by v(-45).
14
Let p(l) = 38 - 354*l + 709*l - 353*l. Calculate the remainder when 44 is divided by p(-14).
4
Let i be (-1 + -1)/(-4 - (-216)/52). Let l = 5 + 18. Calculate the remainder when (-1)/((-12 - i)/(-89 + 0)) is divided by l.
20
Suppose 36 = p + 2*p. Suppose p*t = 17*t. Suppose 4*v + 76 = 5*f, -2*f + 5*v + 23 + 21 = t. Calculate the remainder when f is divided by 7.
5
Let n = 458 - 429. Let u(q) = -q**3 - 9*q**2 + 9*q. What is the remainder when n is divided by u(-10)?
9
Suppose 0 = 4*c - 19 - 1, -4 = 2*q - 2*c. What is the remainder when 384 is divided by q?
0
Suppose -3*q - 90 = -4*z, 8*z - 6*z = q + 46. What is the remainder when 57 is divided by z?
9
Let c = -20 - -23. Suppose -c*i - 320 = -8*i. Let s = 128 - i. Calculate the remainder when s is divided by 22.
20
Let v = 55 + -50. Suppose 4*m - 54 = -p, -m + 12 = -v*p - 12. What is the remainder when m is divided by 7?
0
Calculate the remainder when 53 is divided by (-3)/((1/(-2))/((-9)/(-6))).
8
Let k(m) = m**3 - 6*m**2 - 6*m + 22. Suppose b + 0 = -2*v + 1, -4*b + 43 = -5*v. Calculate the remainder when k(b) is divided by 15.
14
Let s(n) = n**2 + 14*n + 30. Let q be s(-12). Suppose -11*o + 45 = -q*o. Calculate the remainder when 33 is divided by o.
6
Let x be (27/3 + -2)*1. Suppose x*k = 5*k + 86. What is the remainder when 127 is divided by k?
41
Suppose 76*q - 94 = 74*q. What is the remainder when q is divided by 18?
11
Let l(n) = n**2 + 23*n - 8. Calculate the remainder when 77 is divided by l(-24).
13
Suppose -5*g + 71 = -4*x, -x - 12 = -3*g + 25. What is the remainder when 31 is divided by g?
9
Calculate the remainder when 338/1183 + (-411)/(-7) is divided by 58.
1
Suppose 316 = 3*x - 1607. Suppose -10*b = -99 - x. Calculate the remainder when b is divided by 10.
4
Suppose 0 = -3*o - o + 12. What is the remainder when ((-3)/4)/(120/(-64))*55 is divided by o?
1
Let a(h) = h**3 + 9*h**2 + 4. Suppose 7*s = 10*s + 27. Let w be a(s). Let q = w - -12. Calculate the remainder when q is divided by 9.
7
Let d = -31 - -79. What is the remainder when d is divided by (-6)/(-6)*-3*(-14)/6?
6
Suppose 176 = -13*p + 21*p. Let k = p + -15. Calculate the remainder when 13 is divided by k.
6
Suppose -192 = -4*q + 4*m, q + 0*q - 2*m - 47 = 0. Suppose -3*i + 36 = -24. Calculate the remainder when q is divided by i.
9
Let g(r) = 142*r + 453. Let m(b) = 4*b - b - 10 + 0*b. Calculate the remainder when g(-3) is divided by m(8).
13
Let y = 81 + 405. Suppose y = 8*g + g. Calculate the remainder when 321 is divided by g.
51
Suppose -13*w + w = -228. Let r = -16 + w. Calculate the remainder when 34 is divided by r.
1
Suppose -5709 - 1782 = -11*h. What is the remainder when h is divided by 18?
15
What is the remainder when 34 is divided by 1716/57 - (-2)/(-19)?
4
Let a = -85 + 176. Let k = -24 + a. Calculate the remainder when k is divided by 10.
7
Calculate the remainder when 89 is divided by -5 - (-17 - (-2 + 4)).
5
Let d(j) = 2*j**2 + 13*j + 5. Let k be d(-7). Calculate the remainder when 42 is divided by ((-30)/k)/(3/(-18)).
12
Suppose 0 = -2*p - 4*h + 96, -4*h = -3*p + p + 64. Suppose p = 2*g - 7*g. Calculate the remainder when (2 + 235)*g/(-24) is divided by 16.
15
Let k(q) = 3*q**3 - 10*q**2 - 10*q + 17. Let c(x) = x**3 - 3*x**2 - 3*x + 5. Let o(v) = 8*c(v) - 3*k(v). Calculate the remainder when o(5) is divided by 15.
14
Suppose -z + 7*b - 8*b = -13, 3*z + b = 43. What is the remainder when 446 is divided by z?
11
Let w = 82 + -57. Let o = w - 16. Let v = 66 - o. What is the remainder when v is divided by 20?
17
Let p(a) = -4*a**3 - a**2 - a + 4. What is the remainder when p(-2) is divided by -2 + -4 + 8 + 10?
10
Suppose -16 = -4*x + 8. Suppose -d + x = -3*d. Calculate the remainder when (-133)/d + 6/9 is divided by 12.
9
Suppose 5*y = -2*j + 10, -3 = -4*y - 3*j + 5. Let l = y - -35. What is the remainder when l is divided by 13?
11
Let l(p) = 29*p - 17 - 1 + 2 - 14. What is the remainder when l(3) is divided by 30?
27
Let c(n) = n**2 - 5*n + 4. Let u be c(4). Let d(h) = h + 57. Let a = 137 - 107. Calculate the remainder when d(u) is divided by a.
27
Suppose 46 = -5*f - 19. Let b = f - -24. What is the remainder when 21 is divided by b?
10
Calculate the remainder when 196 - (-7 + 5)*-1 is divided by 40.
34
Let v(b) = 2*b**3 - 2*b**2 + 11*b - 3. Let o be v(6). What is the remainder when 18 is divided by (-2)/(-7) + o/63?
4
Let w(q) = -q + 15. Calculate the remainder when 109 is divided by w(1).
11
Let p = 579 + -505. Calculate the remainder when p is divided by 20.
14
Let g = -212 - -235. Calculate the remainder when 65 is divided by g.
19
Suppose 3*c - 5*v = 103, -3*v + 7*v = c - 25. Let m(q) = -q**3 - 7*q**2 - 3*q - 9. Calculate the remainder when m(-8) is divided by c.
38
Calculate the remainder when 61 is divided by 112/35*5 + 5.
19
Suppose -6 = 5*h + 24. Suppose 26*n - 612 = -10*n. Calculate the remainder when (h/(-1))/((-1)/(-10)) is divided by n.
9
Let r(n) = -n**2 + 20*n - 78. What is the remainder when 50 is divided by r(11)?
8
Let a = 34 - 30. Suppose 24 = 2*m + 2*i, m - a*i - 2 - 10 = 0. Let v = -3 + 38. Calculate the remainder when v is divided by m.
11
Let p(q) = -q**3 - 13*q**2 - 15*q - 11. Let y(h) = 6*h + 6. Let m be y(-3). What is the remainder when 122 is divided by p(m)?
22
Let l(o) = o**2 + 6*o - 17. Let q be l(-9). Let x be ((-245)/q)/(2/(-4)). Let b = x - 38. What is the remainder when 31 is divided by b?
9
Suppose -4*q + 7 + 3 = -3*s, 2*s - 20 = -4*q. Calculate the remainder when 27 is divided by -14*q/8*-2.
13
Let h(k) = 34*k - 7. Suppose 2*t + 10 = 7*t. Calculate the remainder when h(t) is divided by 21.
19
Let l(y) = -13*y**3 - 4*y