n v(15) is divided by 16?
1
Let m = -269 - -274. Suppose m*f = 3*t + 38, 5*f - 4*t = -15 + 54. Let w(l) = l**3 - 4*l**2 + 5*l - 2. Calculate the remainder when w(4) is divided by f.
4
Let n = -87 - -91. What is the remainder when 1/(-4) + 157/n is divided by 15?
9
Suppose 38*x - 6513 - 24077 = 0. Calculate the remainder when x is divided by 81.
76
Suppose f - 5 = -v, v + 8 = 5*v. Suppose 3*s + 0*x = 4*x + 146, -3*s + 153 = f*x. Calculate the remainder when s is divided by 26.
24
Suppose -2*p - 128 = 3*d, 0 = -4*d - 0*p - p - 179. Suppose 5*h + q - 85 = 4*h, -4*h = -2*q - 364. Let s = h + d. What is the remainder when s is divided by 23?
20
Suppose 0 = -3*v + 5*v - 230. Suppose 172 = 4*f + 4*m, -5*f + 0*m - m = -199. Calculate the remainder when v is divided by f.
37
Let z = 123 - 71. Let o(d) = -d**2 - 2*d + 89. Calculate the remainder when z is divided by o(-10).
7
Suppose 3*v - 118 = j - 410, j + 5*v = 252. Suppose -5*r + 2*b = -204, -2*r + 12*b + 78 = 13*b. Calculate the remainder when j is divided by r.
37
Let f(m) = 3*m**2 - 2*m. Suppose 6 = 3*r - 0*r + g, 3*r = g + 6. Let k be f(r). What is the remainder when 11 is divided by -3*2*(-4)/k?
2
Suppose -5*o + 2*s + 22 = -0*s, 0 = -3*o + 2*s + 14. Let h be 1/((-15)/(-6))*10. Suppose 3*y + h*y - 70 = 0. What is the remainder when y is divided by o?
2
Suppose 162 = 5*y - 4*w, -y + 7*w + 42 = 3*w. What is the remainder when 58 is divided by (7 - 1)/(9/y)?
18
Let u be 5*2*15/(-6). Let b be 0 - (u*1)/1. Let t = -7 + b. What is the remainder when t is divided by 7?
4
Let p(q) = -q**3 - q**2 - q - 1. Let h(v) = -6*v**3 + 3*v**2 - 15*v + 6. Let n(j) = h(j) - 5*p(j). Calculate the remainder when n(6) is divided by 5.
3
Let k = 1367 - 1309. What is the remainder when k is divided by 35?
23
Let z be ((-4)/(-5))/((-1)/(-5)). Suppose 3*u + 2*u - z*j - 135 = 0, -2*j - 125 = -5*u. Calculate the remainder when 42 is divided by u.
19
Calculate the remainder when ((-144)/30)/(1/((-10)/3)) is divided by 9.
7
Suppose 3*i = b + 157, -221 = -4*i + 8*b - 9*b. Calculate the remainder when 583 is divided by i.
43
Let g(h) = h**2 - 6*h + 7. Let q = 17 + -2. Suppose -5*v - q = 0, -2*l + 6*l - v = 135. Calculate the remainder when l is divided by g(6).
5
Suppose 1 + 7 = 2*y. Suppose 2*q + 8 = -y*o, 0*q - 10 = 5*q + 5*o. Suppose 0*s + s - 7 = q. What is the remainder when 33 is divided by s?
5
Let l = 1615 - 1076. What is the remainder when l is divided by 16?
11
Let v be (-5 + (-8)/(-4))*-12. Suppose 3*m - v = -4*c - 0, 2*c + m = 16. Let t(j) = 3*j - 7. What is the remainder when t(6) is divided by c?
5
Let b = -56 - -110. What is the remainder when b is divided by ((-152)/(-40))/(4/20)?
16
Suppose 4*l - 196 = -2*o, -5*l + 245 = 2*o + 3*o. Calculate the remainder when l is divided by 11.
5
Suppose 43 = 6*g - 41. Suppose 6 = 5*n - g. Suppose n*z + 11 - 91 = 5*x, -5*z + 5*x + 95 = 0. What is the remainder when 43 is divided by z?
13
Let q(d) = -9*d - 32. Let i(m) = m**3 + 24*m**2 + 23*m - 5. Let w be i(-23). Calculate the remainder when 34 is divided by q(w).
8
Suppose h - 143 = 2*i - 3*i, 12 = -3*i. What is the remainder when h is divided by 28?
7
Suppose f - 5*s = 47, 28*f - 87 = 26*f + 3*s. Calculate the remainder when 57 is divided by f.
15
Let o = 64 + -40. Let n be (26/8)/(1/o). Let b = n - 28. What is the remainder when b is divided by 13?
11
Suppose 6*u - 446 + 206 = 0. Suppose 35 = 3*v + 2*v. Calculate the remainder when u is divided by v.
5
Let s = -223 + 326. Suppose 13 = 2*k + 5*b - 19, 0 = 5*k + b - s. Calculate the remainder when 82 is divided by k.
19
Let m be (3 - 7/3)*-3. Suppose p + 3 = -3. What is the remainder when 47 is divided by (0 - p)/((-1)/m)?
11
Let v(b) = b**2 + b + 17. What is the remainder when v(-8) is divided by 16?
9
Let x = 349 + -319. Calculate the remainder when 205 is divided by x.
25
Let l = 38 - 21. Let j = 6 - 6. Let z = l - j. What is the remainder when z is divided by 6?
5
Suppose -10*t = 272 - 362. Calculate the remainder when 592 is divided by t.
7
Suppose -9 - 31 = -5*b. Suppose 3*p = -5*r, 11 = p + 3*p + 3*r. Suppose 0 = p*k - 6*k + 13. Calculate the remainder when k is divided by b.
5
Suppose -62 = -3*a - 2*d, -2*d - 2 = -4. Calculate the remainder when 39 is divided by a.
19
Let i be (-2)/(-4 - -2)*-30. Let q = 38 + i. What is the remainder when q is divided by 4?
0
Suppose 0 = -16*w + 1779 + 29. What is the remainder when 352 is divided by w?
13
Suppose -o = 5*n - 146, 37*o - 32*o + 4*n = 667. What is the remainder when o is divided by 11?
10
Let l(o) = -o**3 - 2*o**2 + o. Let w = 1421 - 1395. What is the remainder when w is divided by l(-3)?
2
Suppose -268 + 1405 + 483 = 60*w. Suppose -4*r + 3*t = 5*t - 52, -5*t = 4*r - 58. What is the remainder when w is divided by r?
3
Suppose 0 = -10*a - 4*a + 10738. What is the remainder when a is divided by 48?
47
Let x be 33/2 - 8/16. Let g(z) be the third derivative of -z**5/60 + 11*z**4/12 - 4*z**3 - 10*z**2. Calculate the remainder when g(x) is divided by 25.
22
Let x(b) = -b**2 + 8*b + 9. Let f be x(8). Calculate the remainder when 31 is divided by (-1 - f)*(-16)/10.
15
Suppose -13*j + 572 + 338 = 0. What is the remainder when 418 is divided by j?
68
Let u(j) = -j**2 - 3*j + 5. Let m be u(-4). What is the remainder when 5 - 6 - 8 - (-10 - 14) is divided by ((-18)/4*-2)/m?
6
Let c = -13 + 22. Suppose -7*j = -11*j + 36. Let v(b) = -b + 15. What is the remainder when c is divided by v(j)?
3
Suppose p - 17*p + 64 = 0. Calculate the remainder when 46 is divided by 3 - (-5 + p) - -5.
1
Let d = 308 + -241. Calculate the remainder when d is divided by 4.
3
Let h(g) = -37*g - 719. Calculate the remainder when h(-24) is divided by 78.
13
Let z(i) = -i**3 + 3*i**2 - 1. Let n be z(3). Let f be 0 - (-32)/(-3 - n). Let w = f - -31. What is the remainder when w is divided by 8?
7
Let x be (-11)/(-4) - (-2)/8. Suppose 3*z = -0*z, -z = 2*q - 2. Suppose -m + 16 = x*d - 0*d, d - 4*m = q. What is the remainder when d is divided by 4?
1
Suppose 0 = 5*o, -5*a = -o + 3*o - 115. Let c = a - -1. Let z = -11 + 24. What is the remainder when c is divided by z?
11
Let f(t) = 9*t**2 - 44*t + 280. What is the remainder when f(7) is divided by 13?
10
Suppose -3*c + 3*l + l = -4, -5*l = c + 24. Calculate the remainder when 29 is divided by -5*(-12)/(-40)*c.
5
Suppose 0 = 11*i - 9*i + 4*m - 42, 1 = i - 2*m. What is the remainder when 98 is divided by i?
10
Suppose 5*p + 2*r - 150 = 0, 0 = -4*p - 0*p - r + 120. What is the remainder when p is divided by 11?
8
Suppose -c + 4 = 0, 271 = 5*m + 5*c - 9. What is the remainder when 152 is divided by m?
48
Suppose -17 = p - 5*s, -3*s - s = -p - 12. Calculate the remainder when 23 is divided by p.
7
Let a(k) = 8*k. Let u(v) = -7*v. Calculate the remainder when u(-3) is divided by a(1).
5
Let c be 11022/(-81) + 30/405. Let w = 11 + -230. Let j = c - w. What is the remainder when j is divided by 21?
20
Let l be ((-6)/4)/((-3)/(-4)). Let z(j) = 12*j - 440. Let c be z(38). What is the remainder when (c/(-32))/(l/68) is divided by 5?
2
Let m = 4579 - 2100. What is the remainder when m is divided by 62?
61
Let s = -52 + 117. Suppose -g + 74 = 2*g - b, 34 = g - 5*b. Let k = g - 7. What is the remainder when s is divided by k?
14
Let n = 21 - 13. Suppose 0 = -3*t + 5*s + 45, -t + 17 = -2*s. What is the remainder when n is divided by t?
3
Let t(p) = p**2 + 2*p - 9. Let y be t(-7). Suppose -y = 4*d - 6. Let c = d - -14. What is the remainder when 34 is divided by c?
7
Suppose -3*l = -3*j - 420, 2*j + 357 + 358 = 5*l. What is the remainder when l is divided by 40?
25
Suppose 5*w - 1084 = -3*p, -4*w + 753 = 2*p - 115. Let n = -113 + w. Suppose 4*h + h = n. Calculate the remainder when 83 is divided by h.
20
Let h(c) = 9*c**3 + 7*c**2 - 10*c - 1. What is the remainder when h(2) is divided by 21?
16
Let q = -1894 - -1967. Let d = -3 + 9. Suppose d*z - 2*z + h = 75, 0 = -5*z + 3*h + 98. What is the remainder when q is divided by z?
16
Let u = -884 - -899. What is the remainder when 643 is divided by u?
13
Let p be (-6)/(-4)*4/(-6) + 28. Suppose 29*y - p*y = 22. Calculate the remainder when 43 is divided by y.
10
Let r(v) = -v**2 + 6*v + 9. Let o be r(7). Suppose 3*d - 4 = j - 0, -4*d = -5*j + o. Suppose d*s + 4*s - 48 = 0. What is