he remainder when 689 is divided by x.
51
Let g = 3046 + -2942. What is the remainder when 1973 is divided by g?
101
Let n(j) = 3833*j**2 - 32*j + 99. Calculate the remainder when n(2) is divided by 113.
112
Suppose 70225 - 359975 = -189*x - 286*x. What is the remainder when x is divided by 218?
174
Let q = -7241 - -7275. Calculate the remainder when 56 is divided by q.
22
Let t be (7 + -4 - 21/9)*3. Suppose t*v + 2 = 56. Let g = 62 - v. What is the remainder when g is divided by 19?
16
Let x(g) = g + 12. Let o be x(-10). Suppose 0 = o*y - y + 3. Calculate the remainder when (-3)/1*83/y is divided by 28.
27
Let t = -304 + 489. Calculate the remainder when t is divided by ((-10504)/46)/(-4) + (-30)/345.
14
What is the remainder when 796 is divided by 2 + -18 + 98 - 7?
46
Suppose -5*t + 0*t = -75. Suppose -k - 1006 = 4*u, -2*k + 6*k = 8. Let v = u - -326. Calculate the remainder when v is divided by t.
14
Suppose 8*y + 29 = 9*y. Suppose -62*d + 4*d + 6887 = 13*d. Calculate the remainder when d is divided by y.
10
Suppose 4*s = 5*y - 8930 + 52632, s - 3*y = 10936. Calculate the remainder when s is divided by 28.
26
Let k = -110 - -114. Suppose -2*n - 5*q - k = -34, -32 = -4*n + 4*q. What is the remainder when 138 is divided by n?
8
Suppose 0*r = -3*r + 3. Let c be 21*(r + -1 - -1). Calculate the remainder when 39 is divided by ((-4)/6 - 28/c)*-7.
11
Let m = -969 - -1569. Calculate the remainder when (-2)/(-7) - 30*m/(-112) is divided by 42.
35
Let p(z) = 4 + 0*z + 4 + 0 + 4*z. What is the remainder when (-116 - -1)*(-12)/30 is divided by p(2)?
14
Suppose 1 = 5*q - 104. Let s(h) = -2*h**2 - 6*h - 18. Let p be s(-5). Let y = 66 - p. Calculate the remainder when y is divided by q.
20
Suppose 18 = 38*x - 32*x. Suppose x*k = 4*r + 477, -k + 4*r - 52 = -211. Calculate the remainder when k is divided by 33.
27
Let o(p) = 2*p**2 - p + 6. Let z be o(-3). Let d = z - 25. Suppose d*j = -h - 3*h + 74, -5*j + 149 = h. What is the remainder when j is divided by 9?
2
Suppose -2*v + 2*l = -5*v - 571, -3*l = -4*v - 767. Let j = v + 199. Calculate the remainder when 12 is divided by j.
4
Suppose -l - 2*x + 5 = 0, -5*l + 5 = -3*x - 7. Suppose l*q = 184 - 37. Suppose 13 = 2*v - 13. Calculate the remainder when q is divided by v.
10
Let h be 21/(-35)*1*(-150)/18. Let n = -19 - -9. Calculate the remainder when 139 is divided by (150/(-12) - h)*16/n.
27
Let z(l) be the second derivative of l**4/12 - l**3/3 - 13*l**2 + l + 258. Let m be (-22)/(-3) - 4/(-6). What is the remainder when z(m) is divided by 6?
4
Let p be (-4)/(8/55)*4/(-5). Suppose 90 = -16*k + p*k. Let s = -112 + 213. Calculate the remainder when s is divided by k.
11
Let i = 2981 + -2813. Calculate the remainder when i is divided by 94.
74
Let l(f) be the third derivative of f**5/3 - f**4/3 + 4*f**3/3 - f**2. Let o = -5411 + 5412. What is the remainder when 198 is divided by l(o)?
18
Let g(c) = c**3 + 3*c**2 + c + 645. What is the remainder when g(0) is divided by 93?
87
Let p(u) be the second derivative of -35*u**3/6 - 35*u**2/2 + 85*u. Suppose s - 236 = -3*s. Calculate the remainder when p(-6) is divided by s.
57
Suppose -126*z - 1305 = -155*z. Let s(v) = v**2 + 3*v - 6. Suppose 4*c + 5*a + 39 = 0, -2*c = -6*c - 2*a - 30. What is the remainder when z is divided by s(c)?
9
Suppose 3*d = 12*d. Suppose d = -3*h + s + 56, 4*h + s - 72 = 5*s. Suppose -4*y - 2*w = -284, y + y - 158 = 3*w. What is the remainder when y is divided by h?
16
Let s(p) = 2*p + 12. Let w(k) = 2*k + 12. Let y(l) = 2*s(l) - 3*w(l). Let j be y(2). Calculate the remainder when ((-186)/(-15))/(-3 + j/(-5)) is divided by 16.
14
Let v(t) be the first derivative of 3*t**4/4 - 14*t**3/3 + 3*t**2 + 22*t + 20. What is the remainder when 383 is divided by v(5)?
75
Suppose -55*n = -54*n - 23. Suppose -61 = -5*b + 359. Calculate the remainder when b is divided by n.
15
Let v = 2661 - 2657. Calculate the remainder when 1070 is divided by v.
2
Suppose -4*a = 3*u - 11, -2*u + 7*u - 1 = 2*a. Calculate the remainder when -4*1/a + 39 is divided by 11.
4
Let o(c) = -c**3 - 16*c**2 - 2*c - 19. Let b be o(-16). Suppose -6*h = b*h - 1007. Calculate the remainder when 102 is divided by h.
49
Let m(u) = -6*u + 86. Let f be m(14). Suppose -77 + f = -3*w. What is the remainder when 71 is divided by w?
21
Suppose 0 = -4*f + 8*f - 60. Suppose -p = -5*p + 4*l + 360, -98 = -p - l. Suppose 20 = 2*h - p. Calculate the remainder when h is divided by f.
12
Suppose -4*x - 4*n = -524, -5*x - 148*n = -149*n - 601. What is the remainder when 1707 is divided by x?
121
Let l = -11 + 16. Suppose -y = -4*g + 5, 5*g - l = 3*g + 3*y. What is the remainder when ((-3)/2)/(g/(-22)) is divided by 9?
6
Suppose -5*n + 251 = 3*o + 71, -2*n = 3*o - 162. What is the remainder when 446 is divided by o?
46
Let b = 447 - 425. What is the remainder when 124 is divided by b?
14
Let t = 1304 - 1248. Suppose -v + 6*v - 3*h - 2219 = 0, -3*h = v - 451. Calculate the remainder when v is divided by t.
53
Suppose 305 = 5*t - 15. Suppose 2*a + 3*m - 25 - t = 0, -4*a + 172 = 4*m. Calculate the remainder when 32 is divided by 5*(4/(a/6) + 3).
14
Let z(s) = -4*s**3 - s**2 + 3*s - 3. Let t be (0/(-3))/3 - (6 - 4). What is the remainder when z(-3) is divided by (22/(-5))/((-2)/(-10)*t)?
10
Let q(a) = 2*a**2 - 32*a - 31. Let n be q(17). Suppose 4*p = n*p + 2. What is the remainder when 13 is divided by p?
1
Let q(n) = -n**3 + 17*n**2 - 31*n + 33. Let w = 93 - 78. What is the remainder when 233 is divided by q(w)?
17
Suppose -130910 = 7*r - 52*r - 85*r. Calculate the remainder when r is divided by 12.
11
Suppose 0 = 70*q + 663 - 4233. What is the remainder when 1526 is divided by q?
47
Let t(j) = 13 + 4*j + 3*j + 2*j**2 + 2*j. Let f be t(-4). Calculate the remainder when 101 is divided by 29 - (-4 + f + -2).
23
Let r(k) = 4*k**2 - 22*k + 16. Let b = 43 + -29. Let f = b + -6. What is the remainder when r(6) is divided by f?
4
Let r(h) = h**3 - 5*h**2 + 8*h - 12. Let j be r(3). Suppose 0 = -4*n + 3 + 17. Calculate the remainder when (4/j)/((-34)/357) is divided by n.
2
Let k(r) = 14 - 27 + 2*r**2 - 5*r + r**3 + 11. What is the remainder when 11 is divided by k(-3)?
3
What is the remainder when 1083 is divided by ((-41)/((-6027)/(-126)))/(6/(-2422))?
45
Suppose 718 = 5*m - 2*r, 351 = 2*m + 3*r + 60. Let t = -94 + m. Calculate the remainder when 162 is divided by t.
12
Let v(n) = 3*n + 48. Suppose -6*j + 2*j = 0. Suppose 10 = -f - j. Calculate the remainder when 52 is divided by v(f).
16
Suppose -97 = -3*l + 4*i, -4*l + 6*i + 127 = 3*i. Let b be (1/(-2))/((-1)/(-4)). Let u = 6 - b. What is the remainder when l is divided by u?
7
Let q be 5 - (-437 + (0 - -5)). Let c = -214 + q. Calculate the remainder when c is divided by 19.
14
Let h be (3/(-6))/((-9)/60336*-8). Let f = h + 438. What is the remainder when 129 is divided by f?
15
Suppose -4*a + 7*a = -4*a + 5978. What is the remainder when a is divided by 182?
126
Let l(d) = 6*d**2 + 145*d - 1171. Calculate the remainder when l(9) is divided by 83.
39
Let l(o) = 44*o - 116. Let h be l(6). Suppose g - h = -g. Calculate the remainder when 515 is divided by g.
71
Let x(s) = s**2 + 3*s - 8. Let n(y) = y**2 - 3*y - 3. Let k be n(-1). Let z = 7 - k. Calculate the remainder when x(-9) is divided by z.
4
Let a = -7705 + 3800. Calculate the remainder when a/(-35) + 5/((-140)/16) is divided by 16.
15
Let u(g) = -g**2 + 5*g + 1. Let j be u(7). Let b = j - -13. Let c = 26 + b. Calculate the remainder when 128 is divided by c.
24
Suppose 125*d - 11754 = 10496. Let x be 0 - ((-4)/1 + -1). Suppose 2*k + k = 2*q + 88, q = -x*k + 151. What is the remainder when d is divided by k?
28
Let h(q) be the second derivative of 5*q**3 - 5*q**2/2 + 17*q. Let c = 374 + -253. Calculate the remainder when c is divided by h(1).
21
Let f be 0/((-3)/(-1 - 2)). Let b(g) = -77*g - 295. What is the remainder when -1 - (2 + -80 + f) is divided by b(-4)?
12
Let k be ((-55)/7)/(-1) - 18/(-126). Suppose 6*d + 3*h + 76 = k*d, -4*d + 3*h + 140 = 0. What is the remainder when 118 is divided by d?
22
Let b(a) = a**3 - a**2 + a. Let p(z) = 2*z**3 - 13*z**2 + 14*z + 46. Let g(o) = -3*b(o) + p(o). Calculate the remainder when g(-11) is divided by 16.
14
Let p(i) = i**3 + 5*i**2 - 127*i - 45. Calculate t