is the remainder when p(7) is divided by m?
38
Suppose 0*o = 2*o - 62. Suppose 23 = 3*v - o. Calculate the remainder when (-32)/(-144) + 1398/27 is divided by v.
16
Let y(v) = 20*v**2 + 5*v + 8. What is the remainder when 81 is divided by y(-2)?
3
Suppose -4*c + 5*x = -327, 255 = 2*c + 3*x + 86. What is the remainder when 326 is divided by c?
77
Let k(y) = y**3 - 1 - 7*y**2 + 5 - 6 + 13*y. Let v be k(6). Let z = 59 + v. Calculate the remainder when z is divided by 25.
24
Suppose 0 = 4*q - 3*q + 3*l - 13, 0 = q - 3*l - 1. Suppose 0 = -q*x + 96 + 37. Calculate the remainder when 71 is divided by x.
14
What is the remainder when (3/(9/383))/((-4)/(-24)) is divided by 32?
30
Let b(n) = -7*n + 7. Let j be b(-5). Suppose j = 3*s + 6. Let g = -5 + s. Calculate the remainder when g is divided by 3.
1
Let v(y) = 4*y**3 - 42*y**2 + 30*y - 86. Suppose 5*q = k + 261, -2*q + 0*k + 102 = 2*k. What is the remainder when q is divided by v(10)?
10
Calculate the remainder when (4 + 507/26)*(2 - -2) is divided by 55.
39
Suppose -4*j - 5*q + 16 = 117, 5*q + 29 = -j. What is the remainder when ((-10)/6)/(1/j) is divided by 14?
12
Suppose 8 = 2*s, -4*d - 3*s + 8*s = -644. What is the remainder when d is divided by 34?
30
Suppose -5*m + 4*g + 174 = 0, 0 = 25*g - 24*g + 6. Let j = -1 + 1. Suppose 5*k - 530 + 85 = j. What is the remainder when k is divided by m?
29
Let h be 60 + (5 + -4 - 0). What is the remainder when (h + 4)*2/2 is divided by 23?
19
Suppose 0*j - 8*j + 3320 = 0. Suppose 0 = -3*q + 8*q - j. Calculate the remainder when q is divided by 43.
40
Suppose -150 + 36 = -3*j. Calculate the remainder when 69 is divided by j.
31
Calculate the remainder when 77 is divided by 1380/36 + (-6)/(-9).
38
Let o(w) = -6*w - 9. Let n be (-2)/(-11) + 512/88. Let b be o(n). What is the remainder when 14 is divided by 43/9 - 10/b?
4
Suppose 5*i - 295 = i - 3*p, 2 = 2*p. Calculate the remainder when 144 is divided by i.
71
Let i(x) = x + 1. Let a be i(3). Suppose b - a*b = -18. What is the remainder when 16 is divided by b?
4
Let z(j) = j**2 + 4*j - 9. Suppose 4*h - 127 = 61. Calculate the remainder when h is divided by z(-7).
11
Let t = -112 + 126. Let b = -7 + 9. Calculate the remainder when t is divided by b.
0
Suppose -35*x - 259 = -72*x. What is the remainder when ((-2)/(-5))/(3/270) is divided by x?
1
Let g = -441 - -474. What is the remainder when 79 is divided by g?
13
Let a(l) = -l**2 - 34*l - 49. Let i be a(-29). Suppose 10*t - 14*t = -i. What is the remainder when 69 is divided by t?
21
Suppose 4*c - 3*q = 99, 4*c - 42 = 2*c + 4*q. What is the remainder when c is divided by 21/3 + 8 - (1 - 0)?
13
What is the remainder when ((-192)/(5 - 1))/(-2) is divided by (14 - 1) + 0/3?
11
Suppose 48 = 3*f - f - 4*i, 2*i + 52 = 3*f. Suppose 22*b - 28*b = 0. Suppose 8*r - 11*r + 12 = b. Calculate the remainder when f is divided by r.
2
Let u(z) = 9*z**3 - 3*z**2 + 3*z - 4. Calculate the remainder when u(3) is divided by 37.
36
Suppose 3*t - 5*n = -49, 0 = 5*t - 3*n - 3 + 106. Let i = t - -34. Calculate the remainder when i is divided by 4.
3
Let j be ((-530)/15)/(6/(-9)). Suppose -6*x + 31 = -j. Calculate the remainder when x is divided by 10.
4
Suppose 4*z - 148 = 44. Suppose -3*o + 4*o = 0, -4*a - 4*o = 308. Let n = 87 + a. Calculate the remainder when z is divided by n.
8
Suppose -4*y = -140 - 24. What is the remainder when y is divided by 12?
5
Let j be 3*(-1)/(-6)*4. Let x(w) = 52*w - 36. Let l be x(2). Suppose j*s - l = -2*s. What is the remainder when 66 is divided by s?
15
Let c(r) = r**2 + 2*r - 3. Let f be c(3). Let g(z) = z**2 - 10*z + 10. Calculate the remainder when g(f) is divided by 12.
10
Suppose -3*j - 4*v + 3*v + 392 = 0, -5*j - v = -654. What is the remainder when j is divided by 9?
5
Let a(o) = -61*o - 162. Calculate the remainder when 984 is divided by a(-3).
18
Suppose -p - 3*u = -31, -u = -p + 4*u + 15. What is the remainder when (-1236)/(-27) - -1*2/9 is divided by p?
21
Suppose 3*l = -3*i + 1359, -l + 1161 = 5*i - 1088. Calculate the remainder when i is divided by 45.
44
Let z(d) = -d**3 - 4*d**2 + 6*d - 7. Let g be (-88)/14 + 2/7. Let u be z(g). Let l = -16 + u. What is the remainder when l is divided by 8?
5
Let l(s) = -s**2 + 2*s - 4. Let c be l(3). What is the remainder when 2/(-11) + (-4300)/(-55) + c is divided by 18?
17
Suppose 0 = -181*u + 180*u + 12. Calculate the remainder when 92 is divided by u.
8
Suppose u = a + 12, -3*u + 2 = -5*a - 50. Let h = 40 - a. Calculate the remainder when h is divided by 10.
8
Let s(l) = -l**2 + 11*l - 4. What is the remainder when 48 is divided by s(10)?
0
Suppose -6*j = -j + 25, 0 = 4*i - j - 53. Calculate the remainder when 45 is divided by i.
9
Let d = 1164 + -1147. Suppose u - 114 = y, 0*u + 2*u + 5*y - 235 = 0. Calculate the remainder when u is divided by d.
13
What is the remainder when 5*-15*(-54)/135 is divided by (3 - (-18)/(-4))*-14?
9
Suppose 3*f + 0*f - 10 = -a, 0 = 2*f - a - 5. Suppose 0*h = f*s - 2*h - 3, 2*s - 3 = h. Calculate the remainder when 26 is divided by -6*(16/(-3) + s).
12
Suppose -12*y - 104 + 1676 = 0. What is the remainder when y is divided by 15?
11
Suppose 3*d = 2*t + 5*d - 24, -4*d = -4*t + 32. What is the remainder when 0 - 6/t - (-4524)/390 is divided by 4?
3
Let s(v) = v**2 + 36*v - 34. What is the remainder when 209 is divided by s(-38)?
41
Let d(i) = -i**2 + 6*i + 9. Let u be d(7). Let g = -12347 + 12388. What is the remainder when g is divided by (19 + u)*2/2?
20
Suppose d - 217 = 4*i - 9*i, 5*d = 5*i - 235. Calculate the remainder when 69 is divided by i.
25
Let m(a) = 13*a - 14. What is the remainder when m(2) is divided by 2?
0
Let b(w) = w**3 - 5*w**2 - 19*w + 37. Let l be b(7). Suppose 4*a - 162 = -3*n + 354, -l*a + 344 = 2*n. Calculate the remainder when n is divided by 58.
56
Suppose -16 = r + 3*r, -4*m + 3*r = -188. Calculate the remainder when 173 is divided by m.
41
Calculate the remainder when 182 is divided by (-2 + (-88)/(-20))/(2/35).
14
Suppose -13*n + 6*n = -112. Suppose 2*d - 23 - 69 = 0. Calculate the remainder when d is divided by n.
14
Suppose 4*v - 10*v = 36. Calculate the remainder when ((-8)/v)/((-1)/(-42) - 0) is divided by 29.
27
Let r = 698 - 483. What is the remainder when r is divided by 57?
44
Let w(v) be the second derivative of -v**5/20 - 2*v**4/3 + v**2 - 5*v. Suppose 2*q = -2*q + 8. What is the remainder when w(-8) is divided by q?
0
Let p(f) = -f + 13. Let i be p(4). Suppose -2*d = v + i, -5*v + 2*d = -2*d + 17. Let q = v - -32. What is the remainder when q is divided by 10?
7
Suppose 0 - 5 = 3*c + 2*h, -2*c = -h + 1. Let l be 4/20 + c/5. Suppose -2*u + l*u = -70. What is the remainder when u is divided by 9?
8
Suppose -401 = 9*o - 2444. Calculate the remainder when o is divided by 76.
75
Suppose -3*b - 2*l - 11 = -0, -5*l + 4 = -3*b. Suppose 0 = -2*x + x - a + 6, 4*x = -5*a + 23. What is the remainder when 5*10*b/(-6) is divided by x?
4
Suppose 450 = -5*p - 5*p. Suppose n = -3*n + 92. What is the remainder when (-2)/(-10) + (11286/p)/(-6) is divided by n?
19
Suppose 32 = -18*f + 20*f. Let j(l) = -4*l + 11. What is the remainder when j(-5) is divided by f?
15
What is the remainder when 112 is divided by ((-72)/20)/((-138)/920)?
16
Let o = 19 + -17. Let n be o/2*1 - -5. Suppose -u + n*m - 3*m + 38 = 0, -5*u - 2*m = -122. Calculate the remainder when u is divided by 14.
12
Let g = -1547 - -1646. Calculate the remainder when g is divided by 20.
19
Calculate the remainder when 1845 is divided by ((-4)/6 - -1)/((-138)/(-29394)).
70
Suppose -300 - 12 = -13*v. Calculate the remainder when v is divided by 3.
0
Suppose 6*r = -2*r + 96. What is the remainder when (r/8 + -2)*-18 is divided by 3?
0
Let j = -10 - -26. Let a = 10 - j. Let z = a - -8. Calculate the remainder when z is divided by 2.
0
Let b(k) = -k**2 + 7*k + 9. Let s be b(7). Suppose -183 = -s*v + 60. What is the remainder when v is divided by 8?
3
Suppose 6*q - 3*q = 15. Let t = -122 + 123. What is the remainder when q is divided by t?
0
Let m = -180 + 188. What is the remainder when 134 is divided by m?
6
Let o(z) = -8 - z + 1 + 9*z**2 + 3. Calculate the remainder when 132 is divided by o(-2).
30
Let g(v) = 3*v**2 + 6*v + 21. Calculate the remainder when g(-4) is divided by 35.
10
Let