mainder when (-1 - 624/60)/((-2)/10) is divided by 20.
17
Suppose 45 = 21*a - 16*a. Let z(j) = j**3 - 4*j**2 - 4*j + 2. Let s be z(5). Let o = -4 + s. What is the remainder when a is divided by o?
0
What is the remainder when 39 is divided by 15*5/15 - -4?
3
Suppose 0 = 74*m - 69*m - 830. What is the remainder when m is divided by 14?
12
Let f = -454 - -852. Calculate the remainder when f is divided by 21.
20
Suppose 6 = 2*g - 62. Let o = -928 - -947. What is the remainder when g is divided by o?
15
Let g(n) be the second derivative of n**5/20 - 5*n**4/6 + n**3/2 - 7*n**2/2 - 36*n. What is the remainder when 67 is divided by g(10)?
21
Let h = 986 + -350. What is the remainder when h is divided by 92?
84
Let u(f) = f**3 - 6*f**2 - 5*f - 6. Let m be u(7). Suppose 2*b = -2*h + 40, -3*h - 7 = m. Let g = 4 - -5. What is the remainder when b is divided by g?
7
Let g = -625 + 626. Suppose 0 = -2*w + 6*w + 4*i - 28, w - 5*i = -17. What is the remainder when w is divided by g?
0
Suppose 0 = -4*p + 4*y + 936, p - 2*y = 179 + 52. Let n be ((-8)/(-3) + 2)*90/105. Calculate the remainder when p/12 + n/16 is divided by 7.
6
Let c(y) = 6*y + 30. Calculate the remainder when c(35) is divided by 36.
24
Let h = -100 - -115. Suppose 2*s - 7 = h. Calculate the remainder when 49 is divided by s.
5
Let r = -55 - -104. Let p = r - 44. Calculate the remainder when 29 is divided by p.
4
Let g = -39 + 59. Suppose 240*w - 369 = 235*w - 2*m, -w + 93 = -2*m. Calculate the remainder when w is divided by g.
17
Let r(h) = -2*h**3 + 6*h**2 + 8*h - 1. Let s = 389 - 277. What is the remainder when s is divided by r(-2)?
20
Suppose 0 = -2*a - 70 + 158. What is the remainder when a is divided by 24?
20
Let q(b) = b**2 - 27*b - 194. Calculate the remainder when 15 is divided by q(33).
3
Suppose 8*p - 555 = 661. What is the remainder when p is divided by 73?
6
Suppose 18*q - 14*q - 48 = 0. Suppose 11*x + 27 = q*x. Calculate the remainder when 134 is divided by x.
26
Let m = -1694 - -1782. What is the remainder when m is divided by 35?
18
Let k be (-2)/3 - (-1040)/30. Let n = -29 + k. Calculate the remainder when n is divided by 2.
1
What is the remainder when 604 is divided by (-24)/(-5) + -5 - (-1518)/15?
99
What is the remainder when 802 is divided by 8/32 + ((-4365)/12)/(-5)?
72
Suppose -5*d + 0*d + 10 = 0, 3*m - 391 = d. What is the remainder when m is divided by ((-12)/(-14))/(24/(-42))*-30?
41
Suppose -5*h - 3*d = -4*d - 92, -3*h = -5*d - 64. What is the remainder when 39 is divided by h?
3
Let v be 1/((-3)/(-15)*10/26). Suppose 5 = 6*q - v. What is the remainder when 27 is divided by q?
0
Let d(m) be the first derivative of -m**2/2 + 14*m + 11. Let i be d(12). Suppose i*a - a = 51. What is the remainder when a is divided by 27?
24
Suppose 0*b - 5*b = -p + 32, -3*p + 144 = b. Let h = 3 - -18. Calculate the remainder when p is divided by 36/h*(-7)/(-1).
11
Let q = -581 + 645. Calculate the remainder when q is divided by 20.
4
Let i(q) be the second derivative of -2*q**3/3 + 3*q**2/2 - 12*q. What is the remainder when 27 is divided by i(-3)?
12
Let a(h) = -8*h + 8. Let j be a(4). Let o be (-13)/3 + (-8)/j. Calculate the remainder when o/(4/(-25)) + 1 is divided by 14.
12
Let n(x) be the third derivative of 10*x**2 + 0*x + 0 + 1/2*x**3 + 1/24*x**4. Calculate the remainder when 30 is divided by n(5).
6
Let q(m) be the third derivative of -m**4/24 + 4*m**2. Let n be q(3). Calculate the remainder when 34 is divided by -15*((-48)/(-20))/n.
10
Suppose 30 = 45*u - 40*u. What is the remainder when 10 is divided by u?
4
Suppose 4*h + 3*y = 128, 5*h + 4*y - 45 - 114 = 0. Calculate the remainder when 511 is divided by h.
21
Suppose 6*f - f + d - 45 = 0, -4 = 2*f - 4*d. Let j = f - -4. Calculate the remainder when ((-3)/2)/1 - (-657)/18 is divided by j.
11
Suppose -t - 5*y = 2*t, 2*y = 0. Suppose -2*v = -5*b + 92, -3*v - 88 = -5*b - t*v. Suppose a + b = 3*a. What is the remainder when 28 is divided by a?
8
Suppose 28 = 3*w - s - 32, 4*w - 4*s = 80. What is the remainder when 52 is divided by w?
12
Let y(q) = -5*q**2 + 12*q - 25. Let x be y(4). What is the remainder when (-24)/x*52 + 4/38 is divided by 6?
4
Let g = 325 + -307. What is the remainder when 47 is divided by g?
11
Let g(w) = -w**2 - 13*w - 5. What is the remainder when 40 is divided by g(-10)?
15
Suppose -73*i - 530 = -75*i. What is the remainder when i is divided by 52?
5
Let p = -15 + 52. Let h(n) = -n**3 + 16*n**2 + 55*n + 51. Calculate the remainder when p is divided by h(19).
11
Suppose 252*h - 254*h = -2. Suppose -5*j = -2*j - 60. Suppose -4*n - u + j = -5*u, -2*n - 3*u = 5. Calculate the remainder when n is divided by h.
0
Let j = -11 - -21. Let b(c) = -c**3 - 2*c**2 + 24*c + 2. Calculate the remainder when j is divided by b(-6).
0
Let d(j) = -j**2 + 5*j - 3. Calculate the remainder when (124/(-4) - -3)*(-6)/12 is divided by d(3).
2
Suppose 5*l - 112 = l. What is the remainder when 139 is divided by l?
27
Let f = 63 + -69. Suppose 3*u - 16 = -5*i + 48, 4*u + 2*i = 62. What is the remainder when u is divided by -2*f/(3 - 0)?
1
Let d = -3 - -4. Calculate the remainder when 4 is divided by d.
0
Suppose 1 = -4*y + 9, o - y + 2 = 0. Suppose 0 = -p + 2*q + 3 + 4, -p + 4*q - 3 = o. What is the remainder when 45 is divided by p?
11
Let v(w) be the first derivative of w**3/3 - 5*w**2/2 - 2*w + 2. Let g be v(7). Suppose y + 0*y = g. What is the remainder when 34 is divided by y?
10
Suppose 5*b = -2*u + 165, -4*b = b + 5*u - 180. Let g = -28 - -32. Suppose -g*c = -v - 2*v - 29, 2*v = -4*c + 34. What is the remainder when b is divided by c?
7
Calculate the remainder when 0/(-1) - (0 + -329) is divided by 11.
10
Let w be 3 + -1 + -5 + 0. Let r(p) = p**2 - p + 7. What is the remainder when r(w) is divided by (-5)/(-1)*(0 + 1)?
4
Suppose -6*g + g = 4*j - 113, 4*j + g = 109. Let c be ((-12)/(-10))/(12/160). Let p = j - c. Calculate the remainder when p is divided by 4.
3
Suppose 3*h - 5796 = -20*h. What is the remainder when h is divided by 51?
48
Let j(f) = 7*f - 11. Let c(w) = -15*w + 23. Let h(y) = -2*c(y) - 5*j(y). What is the remainder when h(-5) is divided by 9?
7
Suppose 2180*n - 2175*n - 750 = 0. What is the remainder when n is divided by 7?
3
Let w(u) = u**3 - 5*u + 3. Let q = 28 + 1. Suppose -28*f = -q*f + 24. Calculate the remainder when w(4) is divided by f.
23
Suppose 1227 = 10*u - 323. Calculate the remainder when u is divided by 82.
73
Let j = -24 - -29. Suppose j*p - 33 - 92 = 0. What is the remainder when p is divided by 9?
7
Let x(h) = 2*h - 15. Let w be x(9). What is the remainder when 4*w/((-24)/(-4)) is divided by 2?
0
Let n = 77 - 65. Calculate the remainder when 18 is divided by n.
6
Suppose 12*s = 8*s + 220. Calculate the remainder when s is divided by 31.
24
Let f be 5/(-15)*3*2. Let n(o) = -2*o + 4. What is the remainder when 39 is divided by n(f)?
7
Suppose 8*r - 96 = 6*r. Suppose 0 = -43*x + r*x - 10. Let n = -2 - -5. Calculate the remainder when n is divided by x.
1
Suppose -3*x = -6 - 15. Let g = 7 + x. Suppose -3*i - 2*z + 40 = -i, 52 = 2*i - z. What is the remainder when i is divided by g?
10
Let t = -665 - -256. Calculate the remainder when t/(-5) - (-3)/(13 + 2) is divided by 28.
26
Let c be (-3)/(-5 + 186/39). Suppose 2*s + 3 - c = 0. Calculate the remainder when 11 is divided by s.
1
Calculate the remainder when 294/(-10)*(-350)/105 is divided by 4.
2
Suppose 9*i - 1092 = -82*i. Calculate the remainder when 27 is divided by i.
3
Let k(q) = -q**2 - 10*q - 9. Let v be k(-5). Suppose -v*o + 129 = -13*o. What is the remainder when o is divided by 9?
7
Let k(p) = -9 - p + 14 + 17. Let d be k(17). Suppose 50 = d*x - 35. Calculate the remainder when 49 is divided by x.
15
Let u(c) = -c**3 + 9*c**2 + 7*c + 39. Let l be u(9). Suppose 100*s + l = 101*s. What is the remainder when s is divided by 35?
32
Let h(g) = g**3 + 4*g**2 - 2*g - 3. Suppose -o - 5*b = -47, -2*o + 66 = -3*b - b. Calculate the remainder when o is divided by h(-4).
2
Let a = -12 - -14. Let s be (-272)/(-72) - a/(-9). Suppose 2*w = -s*q, -w + 5*q + 12 = -2*w. What is the remainder when 30 is divided by w?
6
Suppose -3*j + 3 = -0. Suppose 5*y = 3*k - 8, 0*k + k = -2*y - j. What is the remainder when (-1 - (-3 - k)) + 16 is divided by 10?
9
