51. Calculate the remainder when p is divided by 21.
8
What is the remainder when 1200/32*(-12)/(-9) is divided by 48?
2
Suppose 18*w = -5*w + 2001. Calculate the remainder when w is divided by 6/(-8)*(-2 + -38).
27
What is the remainder when 1 - 8 - (-249 + 33) is divided by 69?
2
Suppose 4*x = 72 - 24. Let g be ((-831)/(-33) - 4/22) + 2. Let c = 7 + g. What is the remainder when c is divided by x?
10
Let d(w) = 21*w**3 + 4*w - 3. What is the remainder when d(1) is divided by 12?
10
Let r(t) = 3*t**2 - 2*t - 49. Calculate the remainder when 182 is divided by r(6).
41
Let d(s) = -5*s + 95. Calculate the remainder when 192 is divided by d(18).
2
Suppose -6*j = -2*j. Suppose j = -4*s + 56 - 0. Calculate the remainder when 119 is divided by 315/s*(-4)/(-3).
29
Let k(l) = -l**2 + 35*l - 103. Calculate the remainder when k(23) is divided by 44.
41
Suppose 0 = x - 2*x + 14. Calculate the remainder when x is divided by 13*1 - 56/14.
5
Let s(q) = -109*q - 140. Calculate the remainder when s(-2) is divided by 20.
18
Let y = -78 - -79. Let b = 15 + 7. Calculate the remainder when b is divided by -2 + (-56)/(-3 - y).
10
Suppose -2*s - 70 = -4*l - 0*s, -5*s + 41 = 2*l. Calculate the remainder when (-3)/(-12) + 5 + 561/12 is divided by l.
16
Let q = -1321 + 1339. Calculate the remainder when 143 is divided by q.
17
Let y be (-14)/((-3)/(6/(-4))). Suppose -5*r + 45 + 15 = 0. Calculate the remainder when ((-32)/1)/(y + 6) is divided by r.
8
Let l be 1/2 - ((-245)/2 + 5). What is the remainder when 50 is divided by (-3)/(2/11 + l/(-286))?
11
Suppose 4*m - 23*i - 26 = -26*i, 3*m + i = 22. What is the remainder when 0 - (-2 + 3) - -31 is divided by m?
6
Let x = -119 - -168. Let q(g) = -2*g + 8. Let u be q(-9). Let c(y) = y**2 - 24*y - 42. What is the remainder when x is divided by c(u)?
9
Let o = 1318 + -1298. Calculate the remainder when 478 is divided by o.
18
Let h(b) = b**2 + 38*b + 153. Let j = 52 + 9. Let u = j - 40. Calculate the remainder when h(-36) is divided by u.
18
Let i(f) = f**2 + 14*f + 8. Let k be i(-13). What is the remainder when ((-3)/k)/(9/1035) is divided by (-6)/(-15) + (-176)/(-10)?
15
Let c(p) = 31*p - 1. Let i = 37 - 26. What is the remainder when c(1) is divided by i?
8
Suppose -2*h + 148 = -0*h - 4*u, 0 = -h - 5*u + 67. Calculate the remainder when 152 is divided by h.
8
Let d = 32 - 23. Let r(u) = u**2 - 14*u + 23. Let f be r(11). Calculate the remainder when d is divided by (-20)/(2 - 0)*5/f.
4
Let y = 44 + -44. Suppose -r + 78 = -y*z + 3*z, 2*r - 2*z - 116 = 0. What is the remainder when r is divided by 33?
30
Let d be 42/28 - (-6)/4. Suppose -3*l - 43 = -d*v - 4, -2*l + 1 = v. Calculate the remainder when v is divided by 2.
1
Let p(d) = -2*d**3 + 27*d**2 - 79*d + 1. Calculate the remainder when 63 is divided by p(9).
6
Suppose s = 4*p - 153, -2*s - 5 - 116 = -3*p. Calculate the remainder when 144 is divided by p.
33
Let d(a) = -2*a + 28. Suppose 10 = y + 1. What is the remainder when d(6) is divided by y?
7
Let p(h) = -h**3 + 13*h**2 - 13*h + 38. What is the remainder when p(12) is divided by 23?
3
Suppose 0*g + 27*g = 891. What is the remainder when 327 is divided by g?
30
Suppose 6*n - 336 = 4*n. Suppose k = -6*k + n. Calculate the remainder when 95 is divided by k.
23
Suppose -g - 2*q = -209, -3*q + 2 = 17. Calculate the remainder when g is divided by 55.
54
Let d(b) = b**2 - 5*b + 2. Let v be (1 - 20/8)*-6. What is the remainder when d(v) is divided by 20?
18
Suppose -17*u + 275 = -12*u. Suppose -b = a - 11, 5*b - 6*a - u = -4*a. What is the remainder when b is divided by 4?
3
Let v(n) be the first derivative of -13*n - 11/3*n**3 - 4 + 8*n**2 + 1/4*n**4. Calculate the remainder when v(10) is divided by 16.
15
Suppose -11*f - 117 = 103. Let b(s) = -3*s - 5. Calculate the remainder when b(f) is divided by 20.
15
Let y(k) = k**2 - 9*k + 24. Let s be 6/(-4) - 9/(-2). Suppose s*l = 10 + 2. What is the remainder when y(7) is divided by l?
2
Suppose 8*j - 4*g = 7*j + 113, 0 = -5*j + 4*g + 629. Calculate the remainder when 508 is divided by j.
121
Let u(w) = w**3 - 6*w**2 + 7*w - 1. Let j be u(5). Let f be (-3)/j + 34/(-6). What is the remainder when (21/f)/((-1)/6) is divided by 11?
10
Let g(n) = 12*n - 96. What is the remainder when g(13) is divided by 24?
12
Suppose 0 = -5*t, -3*a - 4 = 5*t - 16. Suppose a + 10 = -q. Let j = 24 + q. Calculate the remainder when 28 is divided by j.
8
Let m = -181 + 197. Calculate the remainder when 78 is divided by m.
14
Let n(l) = -9*l + 79. Calculate the remainder when 133 is divided by n(5).
31
Let u(l) = -6*l**2 - 7*l + 5. Let n be u(6). Let r = -180 - n. Suppose -267*f = -269*f + 38. What is the remainder when r is divided by f?
16
What is the remainder when 113/5 + (-2)/(-5) is divided by 14 - (2/3)/((-164)/(-246))?
10
What is the remainder when (-6 + (-117)/6*-8)/1 is divided by 31?
26
Let s = -21 - -7. Let x = s + 49. Calculate the remainder when x is divided by 20.
15
Suppose s + 16 = 2*o, -4*o - 2*s - 5 + 29 = 0. Calculate the remainder when 14 is divided by o.
0
Suppose 520 + 254 = 6*l. Suppose -5*x - 2*b + 316 + 294 = 0, -x + l = -b. Calculate the remainder when x is divided by 32.
28
Suppose 2*d + 4*h = 84, 4*h + 88 + 20 = 4*d. Calculate the remainder when 156 is divided by d.
28
Let f be ((-44)/(-6))/(8/(-36)). Let s = 39 + f. Calculate the remainder when 11 is divided by s.
5
Suppose -4*l - o = -982, 4*o + 166 = -5*l + 1388. What is the remainder when l is divided by 93?
60
Let g(d) = -d**3 - 49*d**2 - 7*d + 254. Calculate the remainder when g(-49) is divided by 8.
5
Let a(n) = n**3 - 37*n**2 - 40*n + 134. What is the remainder when a(38) is divided by 1?
0
Let n = 26 + -25. Let v = -10 - -28. Calculate the remainder when n/(-5) - (-1)/5 - -89 is divided by v.
17
Let d(q) = 3*q**2 - 25*q + 44. Calculate the remainder when 495 is divided by d(7).
15
Let f be (2/2 - 182/(-70))*5. Let v = f - -16. Calculate the remainder when v is divided by 10.
4
Let y(t) = -t + 34. Suppose 0 = -2*i - b + 4, -b + 20 = 3*i + 4*b. What is the remainder when y(19) is divided by 1/(-1) - (-10 + i)?
6
Let o(j) be the first derivative of 56*j**3/3 + j**2/2 + 7. Let c be o(1). Suppose -4*z + c = -71. What is the remainder when z is divided by 17?
15
Suppose -5*j = 3*i - 497 + 46, 2*i + 4*j - 298 = 0. Suppose -10*l + 80 = -5*l. What is the remainder when i is divided by l?
13
Suppose 2*k = -10 + 64. Suppose 5*o = -k - 3. Let j(f) = f**3 + 7*f**2 + 2*f - 6. Calculate the remainder when 70 is divided by j(o).
16
Suppose -8 = -f - 0*c + 2*c, -4*f + 6*c + 38 = 0. Calculate the remainder when 150 is divided by f.
10
Let i(h) = -h**2 + 62. Suppose -o - 19 = -2*a, 7*o - 4*o - 5*a + 57 = 0. Let q = o - -40. Calculate the remainder when i(0) is divided by q.
20
Suppose -74*y = -70*y - 32. Suppose 2*d = 2*m + 26, 5*d + 2*m - 13 = 4*d. Calculate the remainder when d is divided by y.
5
Let r = -2 - -9. Suppose -3 = 3*m - 6. Calculate the remainder when r is divided by (m/3)/(4/48).
3
Suppose g = -4*t + 193, -7*t + 4*t + g = -143. What is the remainder when 93 is divided by t?
45
Suppose -2110 = -2*y - 4*u - 264, 3*u = -y + 920. What is the remainder when y is divided by 49?
47
Let d be ((-15)/(-10))/((-45)/(-12) - 3). Calculate the remainder when 41 is divided by 85/15*(6 + -3) - d.
11
Let w = -3 - -24. Calculate the remainder when ((-21)/14)/((-687)/(-174) + -4) is divided by w.
8
Let x = 1013 + -707. What is the remainder when x is divided by 62?
58
Suppose 30 = 3*i - 2*m, 4 = -19*i + 18*i - 4*m. Calculate the remainder when (-1 + -2)/3 + 19 is divided by i.
2
Let t = 1350 + -1322. Let m be ((-2)/6)/(5/(-1905)). Let r = m - 16. Calculate the remainder when r is divided by t.
27
Let z = -38 + 73. Calculate the remainder when 489 is divided by z.
34
Let r(p) = -2*p**3 - 9*p**2 - 28*p - 23. Suppose 4*d - 116 = -4*j, 3*d - j + 116 = 7*d. Calculate the remainder when r(-5) is divided by d.
26
Suppose 678*c + 684 = 696*c. Calculate the remainder when 110 is divided by c.
34
Suppose 2*t + 104 = 2*z, z - 3*t - 18 = 44. What is the remainder when 121 is divided by z?
27
Let j(l) = 93*l + 690. What is the remainder when j(13) is divided by 76?
75
Let j(q) = 81*q**2 - 6*q - 6. Suppose -i = -9 - 12. What is the remainder when 