x is divided by 9.
6
Let v(o) = -1380*o + 7242. What is the remainder when v(5) is divided by 15?
12
What is the remainder when ((-30)/6 + 1 + 3)*1 + 27832 is divided by 196?
195
Let i(d) = -d**3 - 9*d**2 - 3*d + 19. Let n be i(16). Let h = -3910 - n. Calculate the remainder when h/33 + 4/6 is divided by 16.
13
Let w(l) be the first derivative of 3*l**2/2 - 13*l - 3. Let x be w(-6). What is the remainder when 153 is divided by (x/(-2))/(10/(-4) - -3)?
29
Let q(l) = -l**3 + 3*l**2 + 4*l - 12. Let x be q(-6). Suppose -6*g = -10*g + x. Suppose -15 = 3*t - g. Calculate the remainder when t is divided by 11.
8
Let d(l) = -l**3 + 29*l**2 - 159*l + 112. What is the remainder when d(21) is divided by 17?
12
Suppose -7*c = -c - 24. Suppose -2*f + 83 = -0*g + 5*g, 20 = 5*f. What is the remainder when g is divided by c?
3
Let u(i) = -2*i**2 + 20*i + 54. Calculate the remainder when 595 is divided by u(8).
79
Suppose -9*g = -7*g - 6. Let a(h) = -g*h + 0*h + 64 + 16. Calculate the remainder when a(0) is divided by 21.
17
What is the remainder when 10/(-4)*18468/(-810) is divided by 43?
14
Suppose -z + 3*n + 90 = 0, 754 = 5*z + 4*n + 228. Let p(i) = 8*i**3 - 4*i**2 + 330*i - 654. What is the remainder when z is divided by p(2)?
48
Suppose 30*k + 366772 - 906035 = -13*k. What is the remainder when k is divided by 128?
125
Suppose -3*o = 5*s - 55, -o + 9 = 4. Let h = 16549 - 16520. What is the remainder when h is divided by s?
5
Let d be 1/(-3) - (-1444)/3. Let h(u) = u**3 - 22*u**2 + 44*u - 481. Let t be h(21). Suppose d = -t*p + 15*p. Calculate the remainder when 72 is divided by p.
35
Suppose t = 7 + 2. What is the remainder when 22 is divided by 57/3 + (t - 12)?
6
Suppose 0 = 5*a - 8*q - 159 - 75, -a + 39 = q. Calculate the remainder when 229 is divided by a.
19
Let v(k) = k**2 - 42*k - 337. Let i be v(-7). Calculate the remainder when 89 is divided by (32/(-6) - 1)/(i/(-18)).
13
Suppose 0 = -4*t + u - 6*u + 2020, -2*u = 3*t - 1522. Let q = 558 - t. Calculate the remainder when q is divided by 15.
3
Suppose 0 = -82*a + 8191 - 1221. Calculate the remainder when 258 is divided by a.
3
Let f(a) = -38*a**3 + a**2 + 2*a + 1. Suppose 4*o - 120 = -0*o. Let z = o - 31. What is the remainder when f(z) is divided by 20?
18
Suppose 7*n + 45 = 717. Let q = n + -65. What is the remainder when 5/(-4 + -1) - -59 is divided by q?
27
Suppose -50 + 4 = -4*d + 3*s, -4*d = -2*s - 44. Suppose 35 = 5*f - 2*t, -5*f - 2*t = -7*t - 50. What is the remainder when d is divided by f?
0
Let h(g) = -7*g - 4*g + 8*g - 3*g + 16. Let u be h(3). Calculate the remainder when 21 is divided by (9/u)/((-9)/24) + 1.
8
Let j(s) = s**3 - 8*s**2 - 5*s + 10. Let y = 282 - 273. What is the remainder when 137 is divided by j(y)?
45
Let m(d) = 8*d - 290. Let w be m(37). Suppose -5*f + 20 - w = -l, 4*l - 8 = 4*f. Calculate the remainder when 16 is divided by l.
4
Calculate the remainder when ((-616)/24 - 3)/((66/(-9))/11) is divided by 1 - -12 - (1 + 0).
7
Let x(a) = 117 - 7*a - 7*a + 3*a + 8*a. Calculate the remainder when 201 is divided by x(5).
99
Let r(k) = 3*k + 56. Let m be r(-3). Suppose m*h - 33 = 46*h. Let u(y) = y**3 - 15*y**2 - 16*y + 6. What is the remainder when h is divided by u(16)?
3
Let k = -771 + 799. Calculate the remainder when 3749 is divided by k.
25
Let h(w) = 7578*w - 5834. What is the remainder when h(5) is divided by 137?
135
Let x = 10 + -7. What is the remainder when -335*(-21 + 104/5) is divided by x?
1
Let b = 13331 - 13279. Let p(n) = -n**2 - 9*n - 2. What is the remainder when b is divided by p(-7)?
4
Let j = 11925 + -11903. What is the remainder when 3475 is divided by j?
21
Let y(g) = -3*g**2 + 106*g - 33. Calculate the remainder when y(4) is divided by 90.
73
Suppose -g - 47*w + 472 = -50*w, 0 = 4*g - 3*w - 1870. What is the remainder when g is divided by 93?
1
Suppose -50 = 12*s - 698. Calculate the remainder when 152 is divided by s.
44
Suppose -4*y + 12 = -3*i - 96, i = -y + 20. Let a = -10941 - -10962. What is the remainder when y is divided by a?
3
Suppose 4*s + 19 = 5*k, 636*k - 27 = 2*s + 631*k. Suppose 0*x = 4*d - x, -5*d = -2*x + 3. What is the remainder when s is divided by d?
0
Let b = 29 + -34. Let n be ((-1)/b - (-3)/10)*54. Suppose -n = -3*w + 96. Calculate the remainder when 163 is divided by w.
40
Let r(o) be the third derivative of o**5/20 - 5*o**4/24 - 3*o**3/2 - o**2 + 4. Suppose 140 = 3*f - 130. What is the remainder when f is divided by r(-2)?
12
What is the remainder when 1953 is divided by -1*1035/60*1/((-3)/4)?
21
Let w be (2*(-1)/(-4))/(12/1536). Let y = w - -51. Let j(p) = p**3 - 16*p**2 + 16*p + 14. What is the remainder when y is divided by j(15)?
28
Let n(v) = v**3 + 7*v**2 - 9*v. Let o be n(-8). Let p(b) = 5 + 4 - 3 - 9 - 3 + 7*b. Calculate the remainder when p(o) is divided by 13.
11
Suppose -4*z + 589 - 65 = y, 4*y + 504 = 4*z. Let k = z + -119. Calculate the remainder when k is divided by -1 + 4 + (1 - 0).
3
Suppose 212 = -7*j + 226. Suppose 0*f = 5*f + v - 858, 4*v = j*f - 330. What is the remainder when f is divided by 16?
11
Suppose 42*p + 1380 = 119*p - 2547. Calculate the remainder when 4434 is divided by p.
48
Let j(w) = 39*w - 4. Let g be (-8)/((-128)/12)*48. Let z = 37 - g. Calculate the remainder when 138 is divided by j(z).
33
Let h(m) = -469*m + 1416. What is the remainder when 126 is divided by h(3)?
0
What is the remainder when 318 is divided by (22/3 - (-536)/(-67))/((-4)/510)?
63
Suppose -g + 5*w + 24 - 1 = 0, w + 19 = 2*g. Let u be (-51)/(-12) + (-2)/g - -1. Suppose -u = -3*l + 16. What is the remainder when 9 is divided by l?
2
Let c(f) = 7*f**2 - 18*f - 7. Let v be c(3). Suppose 35*x - v*x = 660. Calculate the remainder when 58 is divided by x.
18
Suppose -10*m = 3*m + 4*m - 21046. Calculate the remainder when m is divided by 4.
2
What is the remainder when ((-4)/(-30) + 84/45)/(4/9910) is divided by 21?
20
Let i = 28263 - 22636. What is the remainder when i is divided by 67?
66
Suppose -34 = -d + 5*v, 0 = 34*d - 29*d - v - 98. What is the remainder when 447 is divided by d?
10
Suppose -46*r + 42*r = -632. Let m = r - 152. What is the remainder when m is divided by 2?
0
Suppose 3*z + 2*f - 93 = 0, 999*z + 5*f + 130 = 1004*z. Suppose q - 3*x - 11 = 0, -2*x = -0*x - 4. What is the remainder when z is divided by q?
12
Let r be (10/6)/(154/(-42) + 4). Suppose -2*n + 6*n + r*x - 511 = 0, 0 = -4*n - x + 499. Calculate the remainder when n is divided by 25.
24
What is the remainder when 1810 is divided by (-4)/(-26) - (308/6)/((-585)/135)?
10
Let p be (-40)/(-15)*(126/24 - 3). Suppose 0 = -4*b - b - 75. Calculate the remainder when (28/(-5))/(p/b) is divided by 6.
2
Let a be ((-14)/10)/(4/(-20)). Let p = 12 - a. Let f = 3118 + -3096. What is the remainder when f is divided by p?
2
Suppose -n + 4*i + 139 - 363 = 0, -3*n - 3*i - 612 = 0. Suppose 136*d = -654 - 26. What is the remainder when n/(-10)*d/(-2) is divided by 18?
16
Let d = 29893 + -29885. Suppose -2 = 4*t - 10. Calculate the remainder when d is divided by t.
0
Suppose 15*c - 9420 = -15*c. Let l = c - 226. What is the remainder when l is divided by 24?
16
Calculate the remainder when 1107 is divided by 7/((-210)/18) - (-1 + (-240)/25).
7
Suppose 2*n = 24*n + 179 - 4623. Calculate the remainder when 17167 is divided by n.
199
Suppose 4*j + 4 = 5*j. Suppose -5*u - 2084 = -7*u + 2*i, -j*u = i - 4163. What is the remainder when u is divided by 29?
26
Let h(o) = o**3 - 5*o**2 - 5*o - 5. Suppose -25*n - 4*x = -18*n - 96, -2*n + 4*x + 48 = 0. What is the remainder when h(7) is divided by n?
10
Let a = 161476 + -161464. Let o = -89 + 220. Calculate the remainder when o is divided by a.
11
Let f be 1*(1 - (-5 + 3)). Suppose -o = -5*i + 21, -3*o - f*i = i - 32. Let y = 37 + -31. Calculate the remainder when y is divided by o.
2
Suppose -9924*n + 2583 = -9861*n. Calculate the remainder when 3772/16 - 2/(-8) is divided by n.
31
Let z(t) = t**3 - 5*t**2 + 8*t + 6. Suppose -6*b + b + 20 = 0. Let r be z(b). Suppose 2*u - 6 = r. What is the remainder when 23 is divided by u?
9
Let s = -2434 + 2462. Calculate the remainder when 2630 is divided by s.
26
Let b be 52/12 - (-7)/(-21). Calculate the remainder when 97 is divided by (-13248)/(-256) + (-3)/b.
46
Let n be 24/(3 + 1)*(0 