when 66 is divided by p.
2
Let v(a) = -a + 7 - 2*a + 2*a - 3*a. Let j(w) = -9*w + 15. Let o(i) = -6*j(i) + 13*v(i). What is the remainder when o(0) is divided by 1?
0
Suppose -g + 10 = 2*n, 4*g + g = 5*n - 10. Suppose 0 = g*z - 5*o - 198, -2*o + 530 = 5*z + 3*o. Calculate the remainder when z is divided by 21.
20
Suppose 0 = 3*w - w - 28. Let m(p) = -8*p. Let o be m(-5). Suppose -3*b + 4*b = o. Calculate the remainder when b is divided by w.
12
Suppose 49 = 3*c + 2*q, 0 = 5*c - 3*q - 2*q - 65. Suppose 6*a - 3*a - c = 0. Let i = -12 + 24. Calculate the remainder when i is divided by a.
2
Let v = 51 + -57. Let x = 20 + v. What is the remainder when 96 is divided by x?
12
Calculate the remainder when -1 + 6/5 - 117286/(-845) is divided by 50.
39
Suppose 4*m - 48 = -4. Let i be (-540)/(-10) + 2/(-1). Let v = i - 33. Calculate the remainder when v is divided by m.
8
Let f = -2332 - -2370. What is the remainder when 221 is divided by f?
31
Let t = 325 + 302. What is the remainder when t is divided by 63?
60
Suppose 0*t - t = -98. Suppose 6*g = 5*g + t. Calculate the remainder when g is divided by 20.
18
Suppose -907 = -18*q + 47. Calculate the remainder when 154 is divided by q.
48
Let q(h) = 68*h - 7. What is the remainder when q(5) is divided by 28?
25
Let m(s) = 35*s + 361. What is the remainder when m(52) is divided by 39?
36
Suppose 2*u + 4*r = 88, -r - 73 = -2*u - 0*r. Suppose -4*v = -5*v + u. What is the remainder when v is divided by 14?
10
Suppose 0 = -3*i + p - 15, -4*p = 2*i - 7 + 3. Let f = 23 - 2. Calculate the remainder when f is divided by 66/i*10/(-15).
10
Suppose 1 + 9 = 2*x. Suppose x*h - 5*c + 0*c = 530, -316 = -3*h + 4*c. What is the remainder when h is divided by 37?
34
Suppose 2*b = 10*b - 1112. What is the remainder when b is divided by 14?
13
Suppose 2*i = 6*i - 392. Suppose -3*u + 4*k + i + 28 = 0, 0 = -4*k. Calculate the remainder when u is divided by 11.
9
What is the remainder when (2 + (-55)/(-2))/(16/64) is divided by 17?
16
Suppose 4*a + 4*x - 10 = 2*x, -5*x = -2*a - 25. Suppose a = n - 21 + 14. What is the remainder when 18 is divided by n?
4
Suppose -6*t - 2*k = -7*t + 31, -5*t + 122 = k. Calculate the remainder when 31 is divided by t.
6
Suppose -3*q - 5 = -17. Suppose -2*u - 82 = -2*j, u = q*u. Calculate the remainder when j is divided by 13 + 1 - 4/(-4).
11
Let a(m) = 81*m + 2. Let g be a(2). Suppose -8*c + 84 = -g. Suppose -4*r = -27 - 41. What is the remainder when c is divided by r?
14
Let h(l) = 6*l**2 - 18*l - 9. Calculate the remainder when h(-9) is divided by 28.
23
Let p be (5/10)/(1/2). Let n be 3/6*p*-12. Let v = n + 9. Calculate the remainder when 10 is divided by v.
1
Let x(o) = 29*o**2 - 4. What is the remainder when x(2) is divided by 23?
20
Suppose -7*n = -160 + 41. What is the remainder when 135 is divided by n?
16
Let g be (-1 + 2)*(2 - 3). Calculate the remainder when 1/2*0 - -2 is divided by -3 + g + (-6)/(3/(-3)).
0
Let n(h) = -h**3 - 3*h**2 + 3*h + 1. Suppose -4*j - 9 = 7. Let v be n(j). Let f(g) = -g**3 + 4*g**2 + 7*g - 1. What is the remainder when f(v) is divided by 3?
0
Let j(o) = 4*o - 103. What is the remainder when 361 is divided by j(29)?
10
Suppose 4*b = -84 - 36. Let r = b - -33. Calculate the remainder when r is divided by 1.
0
Suppose -y = -2*q - 23, -2*q - 24 = -q - 3*y. Let l(s) = -5*s - 14. Calculate the remainder when l(q) is divided by 11.
9
Let a = -46 + 86. Let v = -520 + 542. Calculate the remainder when a is divided by v.
18
Suppose -5*v = -93*w + 97*w - 840, -496 = -3*v - 4*w. Calculate the remainder when v is divided by 28.
4
Let w(p) = 1. Let r(f) = -f + 1. Let a(n) = -4*r(n) + 7*w(n). Let h(q) = 2*q**2 - 4*q + 2. Let j be h(3). Calculate the remainder when a(j) is divided by 9.
8
Let r(s) = -s**2 - 13*s + 22. What is the remainder when r(-11) is divided by 15?
14
Suppose -2*m = -4 - 4. Let l(g) = g**3 - 2*g**2 - 9*g + 25. Calculate the remainder when l(m) is divided by 14.
7
Suppose -h - 2 = -17. Let a(p) = 2*p**2 + p + 28. Let f be 0 + -2 - (0 + -2). What is the remainder when a(f) is divided by h?
13
Suppose 63*j + 4*q - 68 = 58*j, -2*q = -5*j + 86. Calculate the remainder when 636 is divided by j.
12
Let i(s) be the third derivative of -s**5/60 + 11*s**4/12 - 11*s**3/2 - 22*s**2. What is the remainder when i(19) is divided by 14?
10
Let f(o) = -o**3 - 6*o**2 + 6*o - 7. Let s be f(-7). Suppose s = -3*n - 0*n - 6. Calculate the remainder when (-1 + (0 - n))*34 is divided by 12.
10
Let u = 143 - 129. What is the remainder when -41*(2/2 + -2) is divided by u?
13
Let j(n) = 6*n. Let f be j(1). Suppose 0*z - 69 = -z + 2*y, -3*y - f = 0. Calculate the remainder when z is divided by 22.
21
Suppose 5*i = 15*w - 14*w - 3, 0 = 2*w + 5*i - 36. What is the remainder when 37 is divided by w?
11
Suppose 2*p - 8 = -2*i, 4*p = -3*i + 5 + 2. Suppose -6*u - 30 = -i*u. What is the remainder when u is divided by 3?
1
What is the remainder when (-1 - 0)/(-18 - 5782/(-322)) is divided by 14?
9
Suppose 0 = 3*t + v - 44 + 13, -37 = -t + 5*v. Let n(j) = -j**2. Let o be n(2). What is the remainder when (-66)/o*4/3 is divided by t?
10
Let k = -266 - -295. Let g = 4 + 3. Let t = g + 1. What is the remainder when k is divided by t?
5
Let q = 192 - 114. Let c(h) = 2*h - 5. Let x be c(5). Suppose -x*r - u = -2*r - 51, 0 = 4*r - 2*u - q. Calculate the remainder when 51 is divided by r.
15
Let n = 557 + -470. What is the remainder when 866 is divided by n?
83
Let t(w) = -w**2 + 5*w - 3. Let y be t(3). Suppose y*u + 2*g = 61, 4*u + g + 2*g - 81 = 0. Calculate the remainder when u is divided by 20/(-5) - -4*(-4)/(-1).
9
Suppose -3*w = 4*g - 65, 3*w + 23 = -3*g + 68. What is the remainder when 36 is divided by g?
16
Suppose -z - 3*z + 14 = -5*f, 0 = -z - f + 8. Let v(d) = 2 + 5 + z*d - 2*d - d**2 + 7*d. What is the remainder when 33 is divided by v(10)?
16
Suppose -4 = -4*g - 16. Calculate the remainder when ((-212)/5)/(((-6)/(-10))/g) is divided by 43.
40
Calculate the remainder when (-2 + 2/(-10)*-5)*-25 is divided by 11 - (-2)/(-2 + 1).
7
Suppose 4*j + 64 = c, 2*j = 7*j - 3*c + 80. Let n = -14 - j. Suppose 0 = -q + 17 - n. Calculate the remainder when 43 is divided by q.
13
Let y be 71 + -1 - (1 - 3). Calculate the remainder when (-62)/(-8) + (-54)/y is divided by 4.
3
Let z be 2 + -2 + (-3 - -2). Calculate the remainder when 51 is divided by (-5 - z) + 85/5.
12
Suppose -3*k - 27 = 63. Let h = k + 87. Let a = h - 24. What is the remainder when a is divided by 9?
6
Let l(x) = -x**3 - 2*x**2 - 2*x + 5. Let i = -31 - -28. Calculate the remainder when 38 is divided by l(i).
18
Let i = -2 - 4. Let o(h) = -4*h + 11. Let a(v) = -2*v + 6. Let k(n) = -7*a(n) + 4*o(n). What is the remainder when 25 is divided by k(i)?
11
Let j = 121 - 45. Let q = 104 + -78. What is the remainder when j is divided by q?
24
Suppose 6*w = -w + 28. What is the remainder when 19 is divided by w?
3
Suppose 3*c + 0*o + 33 = -5*o, 4*c = 3*o - 15. What is the remainder when 69 is divided by -8*2/c*(-63)/(-14)?
9
Let n = -295 + 312. What is the remainder when 64 is divided by n?
13
Suppose -3*f + 36 = -4*b, b - 3*b - 30 = -3*f. Let o = 302 - 290. Calculate the remainder when o is divided by f.
4
Calculate the remainder when 75 is divided by -7*8/196 + 468/21.
9
Suppose -32 = 4*n + 2*z, n - 4*z + 17 + 0 = 0. Let v be 99/15 - n/(-15). Suppose v*a = 2*a + 48. Calculate the remainder when a is divided by 7.
5
Let m be (-1251)/7 + (-4)/14. Let l = m + 294. Suppose -4*r + 142 = 26. Calculate the remainder when l is divided by r.
28
Suppose -2*t - 4*m = -1920, 5*t + 1926 = 7*t - 2*m. What is the remainder when t is divided by 107?
106
Suppose 6*b = -2*t + 9*b + 36, -5*t + 5*b = -95. What is the remainder when t is divided by 2?
1
Suppose -3*j - 39 = -3*t, 4*t + 0*t + 3*j - 17 = 0. Suppose -3*i = n - 7 - t, 5*i - 26 = -2*n. Calculate the remainder when n is divided by 2.
1
Suppose 5*y + 5*l - 119 + 19 = 0, -3*l + 75 = 4*y. Calculate the remainder when 17 is divided by y.
2
Let c(f) = -f**3 - 4*f**2 + 41*f + 33. Calculate the remainder when c(-10) is divided by 25.
23
Let b = 5 + -19. Let c = b + 17. What is the remainder when 32 is divided by 9 + 9*1/c?
8
Let w(p) = -p**3 + 14*p**2 - p + 14. Let h be w(14). Suppose -5*n + 50 = 2*z, h*n = 