the remainder when 733 is divided by 1 - 432/(63/(-7)).
47
Calculate the remainder when ((-20)/9)/((-108)/1458) is divided by 4.
2
Suppose -16 = -2*z - 10. Suppose 2*x - 14 = -2*h, -h = -z*x - 0 + 5. Suppose -34 = -3*q + 2. Calculate the remainder when q is divided by x.
0
Suppose 0 = 4*w - a - 1477, -a = -2*w + 774 - 37. What is the remainder when w is divided by 72?
10
Let d(m) = -7*m - m**2 - 7 + 4*m - 10*m. Let i be (-2)/7 + 33/(-7). What is the remainder when d(i) is divided by 9?
6
Suppose -13 = s - 80. What is the remainder when s is divided by 9?
4
Suppose 4*z - 66 + 26 = 0. Let u = 6 + -1. What is the remainder when z is divided by u?
0
Let x(f) = -4*f - 16. Let h be x(-7). Suppose -4*q + 16 = -h. Calculate the remainder when 26 is divided by q.
5
Let f = 36 - 20. Suppose x - 8 = 2*d, 2*x - d = -5*d. Suppose 78 = 2*i - 4*l, x*i - 104 = -0*i - 5*l. Calculate the remainder when i is divided by f.
15
Suppose -3*j = 2*f - 26, 0*j + j = 2. What is the remainder when 24 is divided by (-15)/f*(0 - -1 - 7)?
6
Let d = -23 + 28. What is the remainder when (-4 + d + -8)/((-2)/14) is divided by 25?
24
Let w = 80 + -26. What is the remainder when 166 is divided by w?
4
Let s(k) be the second derivative of 27*k**5/20 - k**4/6 - k**3/6 + k**2 + 4*k. Let w = 23 + -22. Calculate the remainder when s(w) is divided by 9.
8
Let w = 27 + -71. Let l = 53 + w. What is the remainder when 61 is divided by l?
7
Let q = 27 + -24. Suppose -2*f + 60 = 2*c - 0*c, 0 = q*f + c - 80. Calculate the remainder when 149 is divided by f.
24
Suppose 957 = u - 2*l, -u - 3*l + 1268 - 301 = 0. Calculate the remainder when u is divided by 4.
1
Let y = 37 + -36. Suppose -4*v + r = -54, 17 = v + r + y. Calculate the remainder when 20 is divided by v.
6
Let u = -200 + 217. What is the remainder when u is divided by 11?
6
Suppose 6*a - 61 = -d + 2*a, -2*d + 3*a + 144 = 0. Let s be -16 - -1*(-1 - 1). Let j = s - -36. Calculate the remainder when d is divided by j.
15
Let a(v) = 2*v**2 + 2*v - 2. Let n be a(-2). Suppose 0 = n*d + 2*d. Let g = d + 3. Calculate the remainder when 3 is divided by g.
0
Let t(c) = -4*c + 1. Calculate the remainder when 65 is divided by t(-8).
32
Suppose 4*t = -2*f + 77 + 143, 5*f = -2*t + 566. Calculate the remainder when f is divided by 29.
27
Suppose -2*j - 4*w - 20 = 0, 5*w = -2*j - 13 - 3. What is the remainder when 273 is divided by (-987)/j + (-2)/(-3 + -9)?
53
Suppose -4*m + 87 = -4*h + 355, -2*h + m = -130. What is the remainder when h is divided by -12 + 1*174/6?
12
Suppose -3*f = 9 + 3. Calculate the remainder when 94 is divided by (-12)/(0 + 3/f).
14
Let z(w) = -3*w + 68. Let i = -81 + 101. What is the remainder when 34 is divided by z(i)?
2
Suppose 2*c - 40*g + 3 = -43*g, 50 = 5*c - 4*g. Let x be 4*7*2 + 2. Let s = x + -35. Calculate the remainder when s is divided by c.
5
Suppose -3*n + 4*g = -254, -4*n - 54 = 2*g - 422. What is the remainder when n is divided by 48?
42
Suppose 0*u = 5*u. Suppose u = 3*j + 2*j - 60. Suppose -3*v = 3*v - 276. What is the remainder when v is divided by j?
10
Let o = -92 - -328. Calculate the remainder when o is divided by 7.
5
Suppose -5*k + 5*h + 125 = 0, 63 = 5*k - 4*h - 59. Let s be (-4)/(-22) + (-202)/k. Calculate the remainder when 7 is divided by (-16)/(-6) + (-3)/s.
1
Suppose 0 = 344*o - 356*o + 288. What is the remainder when 39 is divided by o?
15
Let z be (-6)/33 - (1 - (-1096)/22). Let f = z + 62. Let q(p) = p**3 - p**2 - 2*p + 1. What is the remainder when q(4) is divided by f?
8
Let y = -89 + 96. Let h(k) = -2*k - 3. Let r be h(-5). Suppose 2*l + 125 = r*l + x, -2*x = 4*l - 94. Calculate the remainder when l is divided by y.
5
Let g = -635 - -690. What is the remainder when 178 is divided by g?
13
Let k = -111 + 126. Calculate the remainder when (-129)/(-9)*9/3 is divided by k.
13
Suppose -4*q - 4*h = 798 - 266, q = 5*h - 115. Let y = q - -234. Calculate the remainder when y is divided by 35.
34
Let z(n) be the first derivative of n**4/4 + 10*n**3/3 - 5*n**2 + 16*n - 1. Suppose 41*h = 30*h - 121. What is the remainder when 19 is divided by z(h)?
4
Suppose u - 9*u = 0. Suppose -9*n + 5*n + 44 = u. Calculate the remainder when (-40)/2*(0 + -1) is divided by n.
9
Let l(k) = 5*k - 130. Let p be l(30). Suppose 0 = -0*x - x + 36. What is the remainder when 3/x*33*p is divided by 14?
13
Let k(h) be the second derivative of -h**3/6 + 9*h**2/2 + h. What is the remainder when 2 is divided by k(8)?
0
Let i = -8866 - -8905. Calculate the remainder when (-1628)/(-14) - 2/7 is divided by i.
38
Let l(m) = m**3 - 5*m**2 + 6*m - 5. Let p be (-5 - -4)*8*1. Let r(f) = -f**2 - 7*f + 14. Calculate the remainder when r(p) is divided by l(4).
0
Let h(v) = -v + 13. Let t(w) = 2*w + 6. Let g be t(8). Suppose -5*d = 5*f - 20, 4*f + 2*d - g = -2. Calculate the remainder when h(f) is divided by 4.
3
Let r(p) = p**3 - 3*p**2 + 3*p + 4. Let o = 5 + 0. Suppose -3*h - 10 - 6 = o*g, -h + 5*g + 28 = 0. What is the remainder when 35 is divided by r(h)?
9
Let k(s) = 188*s + 46. What is the remainder when k(1) is divided by 74?
12
Suppose 0 = 118*l - 120*l + 18. Suppose 4*a = -3*d + 124, 31 - l = a + 3*d. What is the remainder when 133 is divided by a?
31
Let v = -118 - -126. Let c(j) = j**3 - 6*j**2 - 12*j - 23. Calculate the remainder when 13 - (-2 - -2)/2 is divided by c(v).
4
Let w(v) = -v**3 + 28*v**2 + 62*v + 1. What is the remainder when w(30) is divided by 16?
13
Let u be 4/6*(2 - -1). Suppose 2*g + 3 = -1, 5*c + u*g + 34 = 0. Let m = c - -36. What is the remainder when m is divided by 17?
13
Suppose 0*h - h = -17. Suppose 143*s = 138*s + 350. Suppose 39*w - 25*w = s. Calculate the remainder when h is divided by w.
2
Let a(x) = -2*x**2 + 45*x - 184. What is the remainder when 72 is divided by a(15)?
31
Let i(c) = -26*c - 3. Let p = -5 - -4. Calculate the remainder when 45 is divided by i(p).
22
Calculate the remainder when ((-156)/8)/((-436)/(-56) + -8) is divided by 33.
25
Let x(g) = 8*g**2 - 17*g - 19. Calculate the remainder when 125 is divided by x(4).
2
Suppose -4*a + 8*a = -5*q - 697, 3*q - 170 = a. Let z = a + 404. Calculate the remainder when z is divided by 29.
28
Suppose 0*b = -c - b + 34, -178 = -5*c - 3*b. Let z = 45 - c. Calculate the remainder when 41 is divided by z.
6
Let y = 35 - 37. Let b(u) = -u**3 - 2*u**2 - 2*u - 1. What is the remainder when 7 is divided by b(y)?
1
Let t(h) = -3*h**3 - 5*h**2 + 4*h + 21. What is the remainder when 58 is divided by t(0)?
16
Suppose 5*w + r - 28 = 3*r, -12 = -4*w - r. Suppose -i - 408 = -4*q - 3*i, w*i = -2*q + 204. Calculate the remainder when q is divided by 26.
24
Let v be 3/6 + 38/4. Let r(d) = 2*d - 7. Let n be r(v). Suppose -n - 25 = -2*l. Calculate the remainder when l is divided by 11.
8
Let v(q) = -q**3 - 7*q**2 - 7*q + 4. Let b be v(-6). Let r = -7 + b. Suppose r*s + h = -2*s + 12, 4*s - 5*h = -2. What is the remainder when 2 is divided by s?
0
Suppose -27*c - 122 = -365. Let n(h) = -h**3 - 6*h**2 + 2*h + 1. Let l be n(-5). Let d = l - -59. Calculate the remainder when d is divided by c.
7
Suppose -2*z - 37 = -3*z. Let q(c) = -c**3 + c**2 - 2*c + 13. Calculate the remainder when z is divided by q(0).
11
Let h(t) = t**2 + 3*t + 5. Suppose -4*z - 47 = 3*a, 0 = -5*z + 3*a + a - 51. Calculate the remainder when h(z) is divided by 12.
9
What is the remainder when 29*((-1 - -5) + -2) is divided by 18?
4
Suppose 4*w - 16 - 68 = 0. Let h = w - 9. Let m = -33 - -68. Calculate the remainder when m is divided by h.
11
Let m be (-84)/12*(-411)/21. Suppose 0 = 3*i - 155 + m. Calculate the remainder when i is divided by (-2)/6 + (-20)/(-6).
0
Suppose 2*u - 2*m - 6 = 0, u = -5*m + 12 - 39. Suppose -2*b = 2 - 14. Calculate the remainder when 28/2 + (1 - u) is divided by b.
5
Suppose 106*s = 98*s + 6920. Calculate the remainder when s is divided by 51.
49
Let r(n) = 3*n**2 - 10*n - 7. Let z(o) = -o**2 + 7*o + 4. What is the remainder when r(5) is divided by z(6)?
8
Suppose 5*k = 2*k + 138. What is the remainder when 185 is divided by 1 + k + 0/3?
44
Let a = -65 + 63. Calculate the remainder when 126 is divided by -2 + (-4 - (a + -20)).
14
Let a(x) = 2*x**3 - 4*x**2 + 5. Let i be a(4). Let r = i + -59. What is the remainder when 28 is divided by r?
8
Let s = 0 - 5. Let k = -1