hat is the remainder when 16 is divided by x?
1
Let l(r) = 9*r - 1 + 9*r**2 - 9*r - 5*r**2. What is the remainder when l(3) is divided by 19?
16
Let v = 652 + -527. What is the remainder when v is divided by 22?
15
Suppose 3*d + d = -28. Let r be (-6)/5 + d/(-35). Calculate the remainder when 28 is divided by r/((-92)/30 - -3).
13
Suppose -3*q + v = 76, -6*q = -10*q + 5*v - 116. What is the remainder when 17 is divided by (6/(-8))/(3/q)?
5
Suppose -5*o + 2*o = -18. Suppose -f + o - 1 = 0. Let b = f - -7. What is the remainder when 45 is divided by b?
9
Let b(h) = -h**2 - 3*h - 2. Let l be b(-1). Calculate the remainder when (-4)/(-2)*(2 - l) is divided by 1.
0
Suppose -3 = -3*w + 24. Suppose -w*g - 273 = -22*g. What is the remainder when g is divided by 11?
10
Let g = -104 + 116. What is the remainder when 105 is divided by g?
9
Suppose -16*x + 635 = -693. Suppose 12 = l + 3*l. Suppose -l*m = -5*a + 99, 2*a + 4*m - 36 = 14. Calculate the remainder when x is divided by a.
20
Let t(a) = 2*a - 13. Let y be t(9). Suppose j + 0*w - w = y, w = -2*j + 19. Let x = j + 0. What is the remainder when 31 is divided by x?
7
Let z(d) = d**2 + d - 3. Let y(g) = -g**2 - 7*g - 5. Let j be y(-6). Let i be (-21)/(-14)*(-4)/j. Calculate the remainder when z(i) is divided by 15.
12
Let m = 163 + -116. Let f(l) = 26*l - 1. Calculate the remainder when m is divided by f(1).
22
Suppose 0 = 4*l - 5*u, 5*u + 7 = 5*l + 2. Suppose -10*f + 35 = -l*f. Calculate the remainder when 25 is divided by f.
4
What is the remainder when -9 - (15/5 + -233) is divided by 59?
44
Let h = 41 + -33. Calculate the remainder when 13 is divided by h.
5
Suppose 2*y + 21 = s + 7, 4*y = 12. Suppose 3*c - s + 11 = 0. What is the remainder when c is divided by 1?
0
Suppose -5 = 4*f + f, -b + 638 = 2*f. Calculate the remainder when b is divided by 14.
10
Let q(o) = -o**2 - 55*o - 309. What is the remainder when q(-48) is divided by 14?
13
Let g(w) = 5*w**2 - w + 15. Let m(r) = -3*r**2 + r - 8. Let i(v) = -4*g(v) - 7*m(v). Let l = -60 + 129. What is the remainder when l is divided by i(-3)?
13
Let w(v) = 5 + 6*v + v - 6*v. Let u be w(-5). Suppose -3*p + r = -u*r - 5, 5*p + 5*r = 35. Calculate the remainder when 3 is divided by p.
0
Let j = 30 + -171. Let r = 163 + j. Calculate the remainder when 34 is divided by r.
12
Let p(w) = 4*w - 25. Let g be p(10). Calculate the remainder when ((-6)/g)/(1/(-130)) is divided by 14.
10
Suppose -21 = -7*o + 63. Suppose 0 = -o*x + 746 + 22. What is the remainder when x is divided by 22?
20
Let s = 262 + -250. Calculate the remainder when 22 is divided by s.
10
Let r(n) = n + 1. Let x be r(0). Suppose 0 = w - 1 - x. What is the remainder when 85 is divided by 2 + 20 + 0/w?
19
Let c(z) = -15*z + 438. What is the remainder when 1950 is divided by c(23)?
90
Suppose -5*m + 3*m = 0. Suppose -3*r = 5*u - m*r + 60, 5*u + 60 = -4*r. Let d = u + 15. Calculate the remainder when 7 is divided by d.
1
Let h(z) = -z**3 - 20*z**2 - 40*z + 31. Calculate the remainder when h(-18) is divided by 8.
7
Let a be (-4)/(-12) - (-1)/(3/83). Suppose a = -0*t + 7*t. Calculate the remainder when 16 is divided by t.
0
What is the remainder when 885/18*2 - (-8)/12 is divided by 45?
9
Suppose 26*a - 26358 = -20*a. What is the remainder when a is divided by 32?
29
Let b(h) = 20*h - 1. Let k be b(2). Suppose a = z - 5, -3 = 3*z + 3*a - 0*a. What is the remainder when 1/(-2) - k/(-6) is divided by z?
0
Let y be (2 - -2) + 2/2. Suppose -120 + 340 = y*u. What is the remainder when u is divided by 25?
19
Let b be 0 + 2 + 0/(-1). Let i(c) = -c + 37. Let t be i(5). Suppose b*f = 2*v + 54, v - t + 3 = -f. Calculate the remainder when f is divided by 10.
8
Let f = -1274 - -1430. Calculate the remainder when f is divided by 58.
40
Suppose -5*n + 73 = -4*y - 5, 3*y - 50 = -4*n. Suppose 4*s - 59 - 93 = 0. Calculate the remainder when s is divided by n.
10
Suppose 4*w + w = 20. Suppose w*g - 311 = 77. What is the remainder when g is divided by 11?
9
What is the remainder when 7 - 7 - -179 - 1 is divided by 18?
16
Let l = 2558 - 2541. What is the remainder when 83 is divided by l?
15
Let i be 2 - (-46)/(2 - 1). Let y be 2*6/(i/20). Let m = y - 0. Calculate the remainder when 24 is divided by m.
4
Suppose -3*c - 101 = -344. What is the remainder when 227 is divided by c?
65
Suppose 0 = 2*n - 46 + 12. Suppose 5*l = -d + 248, l - 61 = -0*d - 4*d. Calculate the remainder when l is divided by n.
15
Suppose 4*s - 88 = 44. Let o(x) be the first derivative of x**2 - 6*x + 8. What is the remainder when s is divided by o(9)?
9
Suppose -5*z = 0, -5*q + 37*z = 41*z - 2290. What is the remainder when q is divided by 42?
38
Let w(v) = 2*v**2 - v - 5. Let h be w(-2). Suppose j = 29 + h. What is the remainder when j is divided by 4?
2
Let m be 7/21 - ((-260)/3 + 1). Let k = m - 65. Calculate the remainder when 123 is divided by k.
18
Let s(r) = 14*r + 3. Let t be s(6). Suppose 4*h - t = 125. What is the remainder when h is divided by 28?
25
Let w = -497 + 805. What is the remainder when w is divided by 79?
71
Suppose -r = 2*r - 69. Suppose 5*z - 110 = 2*h, z - 5*h + 5 = -10*h. Calculate the remainder when r is divided by 10/(-4)*8/z*-8.
7
Suppose 9*y - 200 = 313. What is the remainder when y is divided by 16?
9
Let j(w) = -w**2 - w + 79. Calculate the remainder when j(0) is divided by 6.
1
Calculate the remainder when 51*(1 - (-4 + 4)) is divided by 6.
3
Let u(w) = 7*w**2 - 2. What is the remainder when u(4) is divided by 28*1/1 + 0/1?
26
Suppose 4*d - l + 3*l - 78 = 0, -29 = -2*d - 3*l. Suppose -q + 123 = 36. What is the remainder when q is divided by d?
21
Suppose -19*w + 105 = -1073. What is the remainder when 928 is divided by w?
60
Let d = -209 + 298. Let f = -74 + d. Calculate the remainder when f is divided by 11.
4
Let d be -5 - -8 - (-2 + 13). Suppose -5*o - 55 = -170. Calculate the remainder when o is divided by d*(-1 + 1 - 3/2).
11
Let z(o) = o**2 + 16*o - 46. Calculate the remainder when 34 is divided by z(-19).
1
Let l = 714 + -148. Suppose -16 - l = -6*n. Calculate the remainder when n is divided by 20.
17
Calculate the remainder when 43 is divided by (4 - 1) + -6 + 2 + 8.
1
Let b = -37 + 86. What is the remainder when (78/(-24))/((-5)/160) - (-9 + 17) is divided by b?
47
Suppose 5*l = -2*j + 34, -19 = -5*j + 2*l + 8. Let g be (-4749)/j - 16/28. Calculate the remainder when 69 is divided by g/(-35) - 6/15.
12
Suppose -7*a = 5*b - 2*a + 45, 0 = a + 4. Let u(i) = -5*i - 4. Let k be u(b). Let q = -13 + k. Calculate the remainder when 15 is divided by q.
7
Suppose -8*c + 22 = -322. What is the remainder when c is divided by 16?
11
Suppose -6*m + 33 = -3*m. Suppose -66 = m*t - 14*t. Suppose -3*q + 40 = 4. What is the remainder when t is divided by q?
10
Suppose 24*h = -28*h + 28392. Calculate the remainder when h is divided by 55.
51
Let i be (10/(-7))/(4/(-28)). Let s = i + -3. Suppose -2*p - 5*r + 97 = 0, -4*p + r - 4*r + 173 = 0. What is the remainder when p is divided by s?
6
Let o(k) = -2*k + 3. Suppose 6*z = 11*z. Suppose z = -2*u - 3*u - 15. Calculate the remainder when 33 is divided by o(u).
6
Suppose 13 = 5*i - 17. Suppose -3*h = -5*h + 96. Suppose -6*j + 89 = -j - v, -h = -4*j - 5*v. What is the remainder when j is divided by i?
5
Calculate the remainder when 23*1 + 8 + 4 + -19 is divided by 9.
7
Let s = -746 - -766. What is the remainder when 377 is divided by s?
17
Let z(f) be the first derivative of 6*f**2 - 18*f - 11. Calculate the remainder when z(8) is divided by 21.
15
Suppose 4*p + 5 = j - 19, 5*p - 4*j + 41 = 0. Calculate the remainder when 4 + p/((-20)/384) is divided by 13.
9
Suppose 0*g - 7 = -k - g, 0 = -3*k - g + 11. What is the remainder when 81 is divided by k?
1
Suppose -5*h = -5*q - 240, -5*q = -3*h + 99 + 55. Calculate the remainder when 53 is divided by h.
10
Suppose 3*z - 8*b - 136 = -4*b, -z - 5*b = -39. What is the remainder when z is divided by 10?
4
Let p = -123 - -193. Calculate the remainder when 255 is divided by p.
45
Let j(q) = -5*q**2 - 3*q - 7 + 14*q**2 - 8*q**2. Suppose -3*k + 3*r = -33, 0 = -4*k - 0*k + 2*r + 54. Calculate the remainder when j(9) is divided by k.
15
Let u(l) = 16*l + 19. Let i be u(11). Suppose 57*r + i = 60*r. Calculate the remainder when r is divi