late the remainder when x is divided by 24.
19
Suppose 46*f - 53*f + 105 = 0. Calculate the remainder when 127 is divided by f.
7
Let o = -120 + 215. Let y = -80 + o. Calculate the remainder when (0 - 0 - 1)*-74 is divided by y.
14
Suppose 0 = v + 7*t - 2*t + 18, -v - t - 10 = 0. Let n = 5 + -3. Calculate the remainder when n is divided by (-63)/(-84) + (-2)/v.
0
Let c(o) = -23*o + 18. What is the remainder when c(-22) is divided by 75?
74
Suppose -4*f + 16 = 0, 2*f = 5*b - f - 243. Calculate the remainder when (-66)/((-8 + 3)/5) is divided by b*4/(-18)*-3.
32
Suppose 5*b + 2*d + 2*d + 16 = 0, -4*b + 20 = -5*d. Suppose 0 = -2*p - 4*k + 46, 15 = -b*k + 5*k. What is the remainder when 46 is divided by p?
12
Let m(f) be the first derivative of -11*f**2 - 23*f + 26. Suppose -210 = -4*c + 30. Calculate the remainder when c is divided by m(-2).
18
Let n(a) = -11*a - 91. What is the remainder when 234 is divided by n(-15)?
12
Suppose 9*h = 69 + 201. Calculate the remainder when 83 is divided by 45/6*84/h.
20
Suppose -2*u = 14 - 6. Let l = -8 + 18. Calculate the remainder when (-36)/(-27)*(-54)/u is divided by l.
8
What is the remainder when 3/(-9) - -128*145/15 is divided by 62?
59
Let m(p) = -p**2 + 2*p - 1. Let l be m(3). What is the remainder when l/(-6)*(-2187)/(-18) is divided by 17?
13
Suppose -3*y = -6*y + 294. Suppose -y = -r - r. Suppose -h = 2*o - r, 4*o - 76 = o - 2*h. What is the remainder when o is divided by 8?
6
Let z = 383 - 319. What is the remainder when 123 is divided by z?
59
Calculate the remainder when 39 is divided by (2 - (-33)/(-12))/(3/(-136)).
5
Let g be 16/8 + -1*30. Let a = g + -8. Let r = -11 - a. What is the remainder when r is divided by 14?
11
Let g(q) = 12*q + 15 - 5 + 30 - 46*q. What is the remainder when g(-3) is divided by 29?
26
Let m = 29 + -27. Suppose m*c - 6 = -3*k + 9, 0 = k + 3*c - 12. Suppose -k*z = -4*f - 113, -z + 5*f + 1 = -22. What is the remainder when z is divided by 23?
20
Suppose -i + 20 = 4*i. Let x = 25 + i. Calculate the remainder when x is divided by 11.
7
Suppose 2*j + 36 = 3*j. Let h be (-3 + 4)*(-5 - -6). Calculate the remainder when j is divided by 2 + h/1 - (-48)/3.
17
Calculate the remainder when 76 is divided by (117/(-45))/(3/(-15)).
11
Let v(o) = -3*o - 2 - 2 + o + 2. Let c be v(-3). Suppose 0 = -5*t + c*a + 74, 4*t + 3*a + a = 88. What is the remainder when 51 is divided by t?
15
Let m(s) = -s**3 + 9*s**2 - 5*s - 5. Let v be m(8). Let d = 28 - v. Suppose -2*c - 72 = -5*c. Calculate the remainder when c is divided by d.
6
Suppose 3*n + n = 2*w + 16, w + 2 = 0. Let p(t) = 42*t + 16. Calculate the remainder when p(n) is divided by 13.
12
Let x(m) = -m**2 - 43*m - 119. What is the remainder when x(-36) is divided by 14?
7
Let i(f) = 13*f**2 - 4*f + 3. Let d(c) = 3*c**2 - 142*c - 79. Calculate the remainder when i(2) is divided by d(48).
13
Let g = -1 + 3. Let a(u) = 7*u + 154. Calculate the remainder when a(-20) is divided by g - -4*1/2.
2
Suppose 8*h + 140 - 1580 = 0. Suppose 0 = 34*n - 38*n + h. What is the remainder when 177 is divided by n?
42
Suppose -15*i - 343 + 1183 = 0. What is the remainder when 333 is divided by i?
53
Let l(x) = -2*x**3 - 3*x**2 + 41*x + 1. Let v = 23 - 3. What is the remainder when l(-6) is divided by v?
19
Let k = 4 + 58. Let l = 108 - k. What is the remainder when l is divided by 12?
10
Let s(t) = t**2 + t - 24. Let z be s(-6). Suppose o - 92 = -2*v, 46 = v - 0*v + 5*o. Suppose v + 26 = z*c. What is the remainder when c is divided by 3?
0
Calculate the remainder when 41 is divided by (-21)/((-5)/(35/7)).
20
Let f(t) = 9*t - 1. Let z = -14 + 16. What is the remainder when 201*(1 + (-2)/3) is divided by f(z)?
16
Suppose -5*y - 7*p = -3*p - 1284, -5*y - 5*p = -1280. Calculate the remainder when y is divided by 53.
48
Suppose 5*x + 0*u - 18 = 2*u, -2*x = 4*u - 12. Suppose 0 = -v - v - x*s + 24, 2*s = -2*v + 34. Calculate the remainder when v is divided by 8.
6
Let h(i) = -57*i + 464. Suppose 14 - 40 = -2*a. Calculate the remainder when a is divided by h(8).
5
Calculate the remainder when 961/7 + 9/(315/(-10)) is divided by 222/8 + 2/8.
25
Suppose -4*k + 50 = 3*b, 0 = -3*b - 4*k - k + 49. What is the remainder when (-105)/(-35) - (-1 + -27 + 0) is divided by b?
13
Suppose 0 = 2*i - 0*i - 2*t + 14, t = -4*i - 8. What is the remainder when (i - -4)*(97 - 2) is divided by 16?
15
Suppose 4*v - 3*v = 4*k - 25, -3*v - 95 = -2*k. Let d = v + 40. What is the remainder when d is divided by 4?
3
Let a be (-1 - -2 - -133) + 1. Let o(p) = p**3 - 39*p**2 + 74*p + 2. Let w be o(37). Calculate the remainder when 27 is divided by (w/(-3))/((-6)/a).
12
Suppose -11*h - 60 = -2238. What is the remainder when h is divided by 57?
27
Suppose -180 = -j - 5*o - 31, 3*o - 12 = 0. Calculate the remainder when j is divided by 16.
1
Let f(t) = t**3 + 7*t**2 + 7*t + 22. Calculate the remainder when 255 is divided by f(-5).
33
Let m(t) = 3*t**2 - 3*t + 2. Suppose -10*h + 14*h = 228. What is the remainder when h is divided by m(3)?
17
Suppose 5*q + 4*g - 95 = 3*g, -5*g = 2*q - 38. What is the remainder when 128 is divided by q?
14
Let k(a) = a**3 - 4*a**2 - 11*a - 12. Let h be k(6). What is the remainder when (h/24)/(1/(-652)) is divided by 33?
31
Calculate the remainder when (-8)/12 + (-98)/(-3) is divided by 24.
8
Calculate the remainder when 30 - (5 - 7 - 8/4) is divided by 22.
12
Suppose 3*z - j = -0*z, 3*j = 9. Calculate the remainder when (6 - 0)/(2/z) is divided by 105/(-70)*(-2 + (0 - 0)).
0
Suppose -3 + 12 = 3*j. Let g = 90 - 81. Calculate the remainder when g is divided by j.
0
Suppose 6848 = 23*m - 1409. Calculate the remainder when m is divided by 13.
8
Suppose -5*y - 23 = -23*w + 21*w, 2*w - 2*y - 14 = 0. Suppose -4*z = 5*h - 16, 6 = 5*z + 3*h - 27. What is the remainder when z is divided by w?
1
Let t(g) = -5*g**2 + 4. Let l be t(2). Let c = -6 - l. Calculate the remainder when 37 is divided by c.
7
Suppose 0 = 2*t + v - 14 - 3, 15 = 3*t - 2*v. Suppose 4*i - 473 = -t*i. Calculate the remainder when i is divided by 11.
10
Suppose -3*n + 9*p + 57 = 6*p, -3*n + 4*p = -60. Suppose 2*f + 3*z = -3*f + 30, -2*f = -4*z - 12. Calculate the remainder when n is divided by f.
4
Let x(q) = -q**2 - 2*q - 3. Let s be x(-2). Let o be s/6 - 13/2. Let n(c) = c**2 + 5*c - 4. What is the remainder when n(o) is divided by 3?
1
Suppose -u + 20 = h - 6*u, 0 = 2*h + 4*u + 2. Suppose h*q - 12 = 148. Calculate the remainder when 95 is divided by q.
31
What is the remainder when 86 is divided by 87/(-2)*6*6/(-54)?
28
Suppose -5*n + 140 = -5*s, -3*n + 38 = 4*s - 25. Calculate the remainder when 81 is divided by n.
6
Let u be (-3)/15 - (-112)/10. Let v(l) = l + 42*l**2 - 41*l**2 - u*l + 18. Calculate the remainder when v(13) is divided by 15.
12
What is the remainder when (29 - 35)*1174/(-12) is divided by 28?
27
Suppose -3*c = 53*j - 55*j - 701, 2*c - j = 468. Calculate the remainder when c is divided by 32.
11
Let i(v) = -v**3 + 4*v**2 + 3*v + 12. Let q be i(5). Suppose -j = q*j - 18. What is the remainder when 21 is divided by j?
3
Suppose -2*s + 19 = 87. Let a = -20 - s. Let i(b) = -b**3 + 7*b**2 - 5*b - 3. Calculate the remainder when i(4) is divided by a.
11
Suppose 0 = 2*r + x - 2*x - 111, -5*x + 243 = 4*r. Let f = r - 44. What is the remainder when f is divided by 2?
1
Suppose 35 = 2*v - 29. Let p = v - 15. Calculate the remainder when p is divided by 10.
7
Suppose -m - 2*m = -537. Let r = m + -104. Let c = -48 + r. What is the remainder when 53 is divided by c?
26
Let o be -1 + (2 + 13)/3. Suppose -8 = -4*u + o. Suppose -u*y + 52 = -y. Calculate the remainder when y is divided by 14.
12
Suppose 5*z + 4*g = 30, g = -3*z - 2*g + 15. Let l be 14/8 - 5/(-4). Suppose l*w - 2*w - 6 = 0. What is the remainder when z is divided by w?
4
Suppose i + 46 = 2*i + 5*m, 0 = 2*i - 3*m - 92. Let f = -73 - -102. Calculate the remainder when (i/16)/(6/24)*10 is divided by f.
28
Suppose -3*b + 10 = -2*b. Suppose 38*y - 37*y = b. What is the remainder when y is divided by 6?
4
Let x(m) = -m**3 + 28*m**2 + 14*m + 60. Calculate the remainder when x(25) is divided by 26.
23
Let t be 7/28 + (-85)/4. Let p = t + 35. Let q = -120 + 175. What is the remainder when q is divided by p?
13
Suppose 0 = 5*p - 3*l - 47, 5*l = 3*