 p = -18 - -32. Calculate the remainder when p is divided by v/(-3) + 84/18.
2
Let t = -93 + 76. Let i = -13 - t. Calculate the remainder when 27 is divided by i.
3
Suppose -18*u + 13*u + 1241 = -a, 3*a - 1257 = -5*u. Calculate the remainder when u is divided by 28.
25
Suppose 0 = 2*b + 208 - 1266. Calculate the remainder when b is divided by 19.
16
Let n(j) = j**2 - 12*j - 23. Let i = 17 + -1. Let q(t) = 5*t - 4. Calculate the remainder when n(i) is divided by q(3).
8
Suppose 0 = x + 3*x - 5*l - 629, 0 = x - 4*l - 160. Suppose x = -5*h + 9*h. Let q = 64 - h. What is the remainder when q is divided by 13?
12
Suppose 5*s = 3*z + 295, -209 = 2*s - 6*s - 3*z. What is the remainder when 328 is divided by s?
48
Suppose 8*p - 94 = 106. What is the remainder when 91 is divided by p?
16
Suppose -63*f + 1584 = -47*f. Calculate the remainder when f is divided by 32.
3
Suppose 104*p = 223*p - 5355. Let a be (-2 + 2 - -1)/1. What is the remainder when p is divided by (-74)/(-6) - a/3?
9
Let t(p) be the third derivative of p**5/15 - p**4/8 - p**3/3 + 5*p**2. Suppose 5*n + 0*n = 15. Calculate the remainder when t(n) is divided by 9.
7
Let x(n) = n**3 - 4*n**2 + n + 18. Let y(f) = 13*f**2 + f + 1. What is the remainder when x(4) is divided by y(-1)?
9
Let c = 218 + -167. Suppose -3*u + 33 = -0*u. Calculate the remainder when c is divided by u.
7
Suppose 0 = -3*n - 2*r, -5*n - r = -0*n. Suppose 3*m - 13 - 29 = n. Suppose -2*f - 26 = -3*f. What is the remainder when f is divided by m?
12
Let q(z) = 5*z**2 + 3*z - 4. Let p be q(-2). Let w = p - 2. What is the remainder when w is divided by 6?
2
Let b = -32 - -36. Suppose -56 = -5*p + 14. Calculate the remainder when (182/21)/(b/18) is divided by p.
11
Suppose -810 = -33*f + 15*f. Calculate the remainder when 178 is divided by f.
43
Let d(r) = 11*r - 3. Let o be d(7). Let k = -16 + o. Let q = k + -28. Calculate the remainder when q is divided by 8.
6
Suppose -26 - 1 = -3*b. Calculate the remainder when 61 is divided by b.
7
Suppose 3*r = v + 7, -3*v = v - 3*r - 17. Suppose 0 = -v*o + 13*o - 70. What is the remainder when o is divided by 5?
4
Let u(b) = 6*b + 4. Suppose -2*o = -2*k - 7 - 31, 2*k = -4*o - 68. Calculate the remainder when u(7) is divided by (1*-2)/(4/k).
10
Suppose -3*b + 3*x + 43 = 5*x, -2*b + 12 = -2*x. Suppose -4*z + 73 = -b. Let d = 19 - 8. Calculate the remainder when z is divided by d.
10
Let b be 1/(9/6 + -2). Suppose -10*d - 3*x + 585 = 0, 3*x + 290 = 5*d + 5*x. What is the remainder when d is divided by 98/6 + b/6?
12
Suppose 5*q - 36 = q. Suppose 0*t = -t - c + 31, -5*c - 53 = -3*t. What is the remainder when t is divided by q?
8
Let k(n) = n**2 - 27*n + 205. Calculate the remainder when 1158 is divided by k(11).
27
Suppose -4109*u - 182 = -4122*u. What is the remainder when 270 is divided by u?
4
Suppose -20*a = -26*a + 66. What is the remainder when a is divided by 1?
0
Let j be (12/(-27))/(6/(-27)). Suppose 4*u - 28 - 12 = -5*d, 4*d - 14 = -j*u. What is the remainder when 27 is divided by u?
12
Suppose 88 = -2*p + 108. What is the remainder when 158 is divided by p?
8
Let o(b) = -b**3 + 6*b**2 + 4*b + 6. Let m(v) = 5*v**2 + 26*v - 24. Calculate the remainder when m(-9) is divided by o(6).
27
Let y = 476 - 467. What is the remainder when 27 is divided by y?
0
Suppose 4 = 827*r - 826*r. Calculate the remainder when 177 is divided by r.
1
Suppose 4*b = 4*j - 88, 4*j + 0*b - 89 = 3*b. Let z = j - 15. Suppose -37 - 8 = -3*s. Calculate the remainder when s is divided by z.
7
Suppose 4*w - 1649 = -5*d, -5*d - 370 + 2027 = 2*w. What is the remainder when d is divided by 85?
78
Let q(h) = -11*h**2 - 2 - 4*h + 3 + 8*h + h**3. Suppose 8 = -3*r + 23, z = 3*r - 3. Calculate the remainder when q(11) is divided by z.
9
Let n(l) be the third derivative of -l**5/60 - 7*l**4/24 + 17*l**3/6 + 9*l**2. Calculate the remainder when n(-7) is divided by (8/12)/((-6)/(-81)).
8
Let f(n) = -n**3 + 12*n**2 - 14*n + 7. Calculate the remainder when f(7) is divided by 4.
2
Let n = 407 - 277. Let l = 141 - n. What is the remainder when 15 is divided by l?
4
Suppose -3*j = 103 - 1210. Calculate the remainder when j/21 - 6/(-14) is divided by 3.
0
Let a = 1578 - 945. What is the remainder when a is divided by 53?
50
Let l = 2 - 0. Suppose l*b + 1 = 9. Suppose b*p - 32 - 28 = 0. Calculate the remainder when 42 is divided by p.
12
Calculate the remainder when 12 is divided by 27/(-2)*46/(-69).
3
Suppose -31*q + 29*q + 146 = -4*b, 0 = -3*b - 3. Calculate the remainder when 993 is divided by q.
70
Let n be 327 - 3/(-2)*(-8)/6. Let j = n - 174. Calculate the remainder when j is divided by 17.
15
Suppose 129 = -16*w + 417. Calculate the remainder when w is divided by 6.
0
Let h(y) = -3*y**3 - 4*y**2 + 11*y + 29. What is the remainder when 56 is divided by h(-2)?
11
Let n(s) = s**3 + 6*s**2 - 4*s - 5. Calculate the remainder when n(-6) is divided by 15.
4
What is the remainder when 70 + 0 + -1 + 2 + 1 is divided by 15?
12
Let h = -7 + 16. Suppose -p - 50 = 5*d - 53, -3*p - 5*d = -29. Calculate the remainder when p is divided by h.
4
Suppose 28 = 4*j + 4*y, -6*j = -5*j + 2*y - 4. What is the remainder when 585 is divided by j?
5
Let w(m) = 5*m + 45. What is the remainder when w(6) is divided by 17?
7
Suppose 11*r - 144 = 2*r. Calculate the remainder when 29 is divided by r.
13
Suppose 0 = -r - r - 3*g - 57, -5*r - 134 = -g. Let l = r + 42. Calculate the remainder when l is divided by 6.
3
Suppose n = 3*n - 16. Suppose -2*w + 90 = n*w. What is the remainder when w is divided by 8?
1
What is the remainder when 72 is divided by (39 - 4)/5 + 0?
2
Let a(q) = 2*q**2 + 14*q + 9. Let b be a(-9). Suppose 6*f - 15 = b. Calculate the remainder when (-250)/(-9) + 2/9 is divided by f.
8
Let n = -9 + 13. Suppose g = s + n - 19, -g - 53 = -3*s. Calculate the remainder when 71 is divided by s.
14
Suppose 0 = -5*z + 20, 3*z + 156 = 4*u - 52. Let y = 12 + -4. Calculate the remainder when u is divided by y.
7
Let l(x) = -x**3 + 11*x**2 + 14*x - 10. Let c be l(10). Let y = c - 110. Let z = y - 85. Calculate the remainder when z is divided by 12.
11
Suppose 10*n - 16*n + 312 = 0. Calculate the remainder when n is divided by 24.
4
Calculate the remainder when -2 + (-277)/(-7) - 39/(-91) is divided by 6.
2
Let f = 32 + -22. Let w = 37 - 53. What is the remainder when 3 is divided by (w/(-20))/(4/f)?
1
Suppose -3*v = -2*z - 351, -8*z + 118 = v - 9*z. Calculate the remainder when v is divided by 11.
5
Let x(r) = -3*r. Let z(j) = -j + 54 - 39 + 0*j. Calculate the remainder when z(11) is divided by x(-1).
1
Let l(b) = b**2 + 19*b + 25. Let t be l(-19). Suppose 0 = 5*i - 20 - t. Calculate the remainder when (1/(-2))/(1/(-48)) is divided by i.
6
Suppose -24*d + 361 = -5*d. Calculate the remainder when 208 is divided by d.
18
Suppose -15 = -q - b + 22, 3*b + 87 = 3*q. Let k(r) = -2*r**3 - 10*r**2 - 13*r - 1. Calculate the remainder when q is divided by k(-1).
1
Let a = 44 - 44. Suppose -5*t - 3*q = -128, a = -2*t + 5*q + 1 + 44. Calculate the remainder when 122 is divided by t.
22
Let n(h) = 2*h + 4. Let i be n(2). Suppose -i*d + 51 = 11. Calculate the remainder when 19 is divided by d.
4
Let t = 1214 + -543. Calculate the remainder when t is divided by 24.
23
Let j = 456 + -406. Suppose -14 = -c + 3*h + 7, 4*h + 4 = 0. Calculate the remainder when j is divided by c.
14
Let y(v) = 5*v**2 - v**2 - 3*v**2 + 0*v**2. What is the remainder when y(2) is divided by -6 - -2 - (-1 - 6)?
1
Let z = -771 - -1561. What is the remainder when z is divided by 33?
31
Let f(p) be the third derivative of p**5/60 + p**3/2 - 6*p**2. Suppose r - 136 = -3*r. What is the remainder when r is divided by f(3)?
10
Let j(b) = 27*b - 29. What is the remainder when 235 is divided by j(4)?
77
Let t(g) = -g**3 + 7*g**2 + 2*g - 4. Let v be t(7). Let u be 878/v - (-13)/65. Suppose 7*x - 3*x = u. What is the remainder when 86 is divided by x?
20
Suppose -18*l = -4267 - 13679. What is the remainder when l is divided by 50?
47
Suppose -4*w + 4 = 0, 5*d - 4*w = -2 + 8. Suppose -d*y = -y - 13. Calculate the remainder when 25 is divided by y.
12
Suppose -2*z + 1 = 2*p + 3, 2*p + 8 = z. Suppose 4*i + 2*y - 4 = 0, z*i - 7*i - 4*y + 8 = 0. Calculate the remainder when 22 is divided by i/8 - (-2