te the remainder when m is divided by f.
20
Let w = 192 - 134. Suppose w*x - 24 = 52*x. Calculate the remainder when 29 is divided by x.
1
Suppose -x + 5*i + 198 = 0, -x - 2*i + 5*i = -198. Suppose -w = 4*w + l - x, 5*l = -5*w + 210. What is the remainder when w is divided by 14?
11
Let r(i) = 10*i**2 - i + 2. Suppose 269*p + 39 = 272*p. What is the remainder when r(3) is divided by p?
11
Suppose 3*j - 2 = 1. Suppose -14*a + 50 - 22 = -70. What is the remainder when (j + -1 - -12) + 1 is divided by a?
6
Let p = 23 - -12. Let y = 103 - p. Calculate the remainder when 55 is divided by 2/(1 - y/76).
17
Suppose -4*b + 9*i = 11*i - 56, -4*i = -5*b + 70. Calculate the remainder when 374 is divided by b.
10
Let k(z) = 4*z**2 - 6*z - 2. Let q(j) = -2*j + 9. Let x be q(3). Calculate the remainder when 223 is divided by k(x).
15
Suppose -1051 = -4*j - 3*o - 126, -3*j + o + 697 = 0. Calculate the remainder when (-6)/(-39) - j*2/(-26) is divided by 5.
3
Suppose -639 = -3*a - 3*d, -209 = -0*a - a + d. Calculate the remainder when a is divided by 43.
39
Suppose -4*g + 0 + 8 = 0. Suppose 4*z - 3*o = 29, g*z - 6*z + 32 = -4*o. Suppose 0 = 4*s - 5*s + 17. What is the remainder when s is divided by z?
2
Suppose 8*u - 6*u = -4*g + 24, 6*g + 2*u - 36 = 0. Calculate the remainder when g is divided by 1.
0
Let u(r) be the first derivative of r**3/3 - 8*r - 9. Calculate the remainder when u(-6) is divided by 5.
3
Let y be ((-18)/(-3))/3 - 31. Let a = -11 - y. What is the remainder when ((-35)/(-2))/((3/2)/3) is divided by a?
17
Let v(j) = -j**2 - 18*j - 11. Let l be v(-8). Suppose -198 = -3*g + l. What is the remainder when g is divided by 30?
29
Let p = -67 - -153. Calculate the remainder when 514 is divided by p.
84
Let w(d) = -6*d**2 - 7*d + 189. What is the remainder when w(0) is divided by 16?
13
Let q(r) = r**2 + 20*r + 39. What is the remainder when 26 is divided by q(-2)?
2
Let p = -144 + 177. What is the remainder when 63 is divided by p?
30
Let o(u) = 24*u + 2. What is the remainder when (1 - 0 - -76)/1 is divided by o(1)?
25
What is the remainder when (-1 + -25)/(6/(-9)) is divided by (7 + -4)/(3 + (-45)/16)?
7
Calculate the remainder when 447 is divided by -5 + (88/4 - -4 - 5).
15
Let m(h) = 5*h**3 + 3*h**2 - h - 3. Let f be m(2). Let s = -9 + f. What is the remainder when 151 is divided by s?
37
Let g = 32 - 29. Suppose 13 = a + g. What is the remainder when 47 is divided by a?
7
Let k(z) = -13*z - 180. Let l(u) = -9*u**3 + u**2 + u. Calculate the remainder when k(-15) is divided by l(-1).
6
Suppose 0 = 4*n + 2*j - 22, 2*n - 3*j + 6 = -3. Calculate the remainder when n is divided by (-9)/(-4) + (-1)/4.
1
Let r(p) = -p**2 - 7*p + 2. Let x be 11/(-2) + 6/4. Let g be r(x). Let s(m) = m - 3. Calculate the remainder when 20 is divided by s(g).
9
Let l = -29 + 9. Let q = l + 28. Calculate the remainder when 11 is divided by q.
3
Let y(b) = b**3 - 23*b**2 + 42*b + 17. Let t = -109 + 209. Calculate the remainder when t is divided by y(21).
15
Let g(m) = -m - 5. Let i be g(-13). Let l be 2/(-4)*-2*i. Suppose 0 = -2*w - 5*u - l, -4*w + 18 = u - 2. What is the remainder when 22 is divided by w?
4
Let o = -3 - 28. Let v = o + 59. Calculate the remainder when v is divided by 8.
4
Let t = 188 - 128. Suppose -p + t = p. Calculate the remainder when p is divided by 17.
13
Suppose -23*v - 41*v + 37824 = 0. What is the remainder when v is divided by 8?
7
Let b be ((-16)/3)/((-8)/(-168)). What is the remainder when (b/(-42))/(1/24) is divided by 22?
20
Let f = 21 + -17. Let c(x) = -4*x - x**3 - 5 + 5*x**2 + 2 + x**2. What is the remainder when c(f) is divided by 4?
1
What is the remainder when 3*(-32)/(-120) + (-326)/(-5) is divided by 38?
28
Suppose 0 = -4*y + 2*g - 8, -3*g - 10 = 5*y - 2*g. Calculate the remainder when 9196/52 + (-112)/(-52) + y is divided by 18.
15
Let t be ((-4)/3)/((-2)/3). Suppose 0 = -t*v - 0*v + 18. What is the remainder when (-1)/(-4) - 127/(-4) is divided by v?
5
Let r = 245 + -140. Suppose 3*x + 5*k - 55 = -x, r = 5*x - k. Let p = 8 - -30. What is the remainder when p is divided by x?
18
Let l = -32 + 36. Let d(n) = n**3 - 4*n**2 + 5. Calculate the remainder when 24 is divided by d(l).
4
Let f be 2 + 20 + (17 - 12). Suppose -2*c + 21 = t, -2*c + 3*t + f = 2*c. What is the remainder when 41 is divided by c?
5
Let g = -36 - -26. Calculate the remainder when (-280)/(-25)*g/(-4) is divided by 15.
13
Let m(b) = 210*b - 740. What is the remainder when m(5) is divided by 50?
10
Let d(o) = -o - 1. Let s(p) = -p**3 + 11*p**2 + 6*p - 10. Let q(l) = -6*d(l) - s(l). Calculate the remainder when 30 is divided by q(11).
14
Suppose 0 = 47*j - 4*j - 3096. Calculate the remainder when j is divided by 22.
6
Let m = -171 + -8. Let s = 256 + m. What is the remainder when s is divided by 13?
12
Suppose -5 + 13 = t - 5*q, -2*t + 2*q + 24 = 0. Let o(l) = 34*l + 1. Calculate the remainder when o(1) is divided by t.
9
Let b(j) = -j**2 + 24. Calculate the remainder when 740 is divided by b(0).
20
What is the remainder when 16/(-24)*2148/(-8) is divided by 10?
9
Suppose 199 = 2*o + 71. Let t = -46 + o. What is the remainder when 69 is divided by t?
15
Let n(q) = 4*q - 5. Calculate the remainder when 510/12 + 1/2 is divided by n(5).
13
Suppose 5*g + 3*b = 4*b + 1307, -5*b = -15. Calculate the remainder when g is divided by 24.
22
Suppose 3*g - 19 = s, 2*s + 2*s + 10 = g. Suppose -12 = -r - 4*q, 3*r - r + 2*q - 12 = 0. What is the remainder when 22 - 0*r/(-12) is divided by g?
4
Let q(y) = -6*y**2 + 0 + 3 - 20*y + 5*y**2. Let l be q(-20). Suppose 5*a + 4*r = 32, 7*a - l*a - 2*r - 36 = 0. Calculate the remainder when 21 is divided by a.
5
Let k = -138 + 167. Calculate the remainder when 77 is divided by k.
19
Suppose 3*x + 2*q + 21 = 5*q, 5*q + 42 = -2*x. What is the remainder when 113 is divided by 16/(-88) + (-211)/x?
18
Let q = -379 + 399. What is the remainder when q is divided by 12?
8
Let f be ((-2)/(-9)*-3)/((-2)/3). Suppose r + 5 = 6*r - 2*b, r + 5*b - f = 0. What is the remainder when 3 is divided by r?
0
Suppose -18*q + q = -901. Calculate the remainder when q is divided by 20.
13
Suppose -3*m = -a + 3 + 5, -5*a + 21 = 4*m. Let d(v) = v**3 + 33*v**2 + 89*v - 24. Calculate the remainder when d(-30) is divided by a.
1
Let h be ((-2)/(-4))/((-3)/(-3072)). Suppose -3*r - r = -h. Suppose r = d + 3*d. Calculate the remainder when 95 is divided by d.
31
Suppose 1534 - 429 = 65*f. Calculate the remainder when 744 is divided by f.
13
Suppose 26*j + 2*j - 1568 = 0. Calculate the remainder when 110 is divided by j.
54
Let g = 88 - 65. Calculate the remainder when 83 is divided by g.
14
Suppose 28 - 4 = 2*k. Suppose -3*z + 5*z = -3*y + k, 0 = y + 5*z + 9. Let l(h) = -4*h**3 - 2*h**2 - 3. Calculate the remainder when l(-2) is divided by y.
3
Suppose 0 = 4*z - 311 - 41. What is the remainder when z is divided by 45?
43
Let v(n) = -11*n - 5. Let y(t) = 100*t + 45. Let q(j) = 55*v(j) + 6*y(j). Let c = -44 + 55. What is the remainder when q(-5) is divided by c?
9
Suppose -2*o + 5*b = -145, 3*o - b = 21 + 190. Calculate the remainder when 176 is divided by o.
36
Let d(a) = -3*a - 83. Suppose 3*x - 36 = -3*x. Let j(f) = 3*f + 82. Let c(t) = x*d(t) + 7*j(t). What is the remainder when c(0) is divided by 26?
24
Let a = -78 + 81. Suppose -4*g - 2*m = -223 - 323, -a*m - 261 = -2*g. What is the remainder when g is divided by 17?
16
Let i be ((-54)/3 + 1)*-2. Suppose 4*h = 38 + i. Suppose 0 = -4*f + w + 2*w + 20, 0 = -f + 3*w + 5. What is the remainder when h is divided by f?
3
Let p(t) = t**3 + 6*t**2 + 8*t + 3. Let n be p(-6). Let d = n + 49. What is the remainder when 6 is divided by d?
2
Let i(q) = -3*q**3 - 4*q**2 + 10*q + 5. Calculate the remainder when i(-5) is divided by 33.
32
Let h(b) = -b**2 + 31*b + 66. Calculate the remainder when h(28) is divided by 40.
30
Suppose -137*h + 144*h - 224 = 0. Calculate the remainder when h is divided by 19.
13
Let w = 202 - 177. What is the remainder when 71 is divided by w?
21
Let z(i) be the third derivative of i**5/5 + i**4/12 - i**3/3 + 4*i**2. Let v be z(-2). Suppose -14 + v = 2*l. Calculate the remainder when 53 is divided by l.
11
Let m(c) = c**3 - 4*c**2 - 6*c - 4. Let s be m(5). What is the remainder when 50 is divided by (3/9)/((