 is the remainder when (-14)/(-4)*(19 - (2 + 7)) is divided by 6?
5
Let m(l) = 4*l**3 - l**2 + l - 1. Let r be m(1). Suppose -69 = -3*b - r*u + 9, -5*u - 32 = -b. Calculate the remainder when 160 is divided by b.
25
Suppose -4998 = -26*z - 968. Calculate the remainder when z is divided by 54.
47
Suppose -18*k - 952 = -86*k. What is the remainder when (-4)/6 + 118/6 is divided by k?
5
Suppose 3*x + 186 = 5*j + 6*x, 5*j + 4*x = 183. What is the remainder when 544 is divided by j?
37
Calculate the remainder when 360 is divided by (0 + ((-20)/(-6) - -1))*3.
9
Let c = -4 + 6. Suppose 3*a = -2*z - c, 0 + 5 = a - 5*z. Suppose a*w - 54 = -2*w - 4*j, -2*j = 2. Calculate the remainder when w is divided by 10.
9
Let q = 11 - 7. Suppose -3*i - 46 = 5*k + 31, 2*i = -2*k - 30. Let o = -13 - k. Calculate the remainder when q is divided by o.
1
Suppose -4*m + 96 = -72. Suppose 7 = 4*w + 3*q - 31, -2*q = 4. Calculate the remainder when m is divided by w.
9
Let y = -2 - -9. Suppose 2*f + 0*g = -3*g + 11, f - 3*g - 19 = 0. What is the remainder when y/(14/(-8) + 2) is divided by f?
8
Calculate the remainder when (((-3)/(-2))/((-3)/(-244)))/2 is divided by 53.
8
Suppose -7*g + 3940 = 13*g. What is the remainder when g is divided by 40?
37
Let u(f) = 8*f + 66. What is the remainder when 287 is divided by u(-7)?
7
Let m(a) = -3*a - 1. Suppose 3*u = 7*i + 121, -6*u - 151 = -11*u - i. Calculate the remainder when u is divided by m(-4).
9
Suppose -8*b = 12 - 44. Suppose -27*v + 31*v - 40 = 0. What is the remainder when v is divided by b?
2
Let n be -1*(179 + -2 + 4). Let f = -78 - n. What is the remainder when f is divided by 21 + 0/(-3) + 0?
19
Let s = 4 + -22. Let n = s - -36. Suppose -5*t + 4*x - 5*x = -355, -5*t + 3*x = -355. Calculate the remainder when t is divided by n.
17
Let s(n) = n**2 - 2*n - 3. Let d be s(-2). Suppose -q - 6 = 4*b, -b = 5*q - 3 - d. Calculate the remainder when -1 - (1 + b - 46) is divided by 12.
10
Calculate the remainder when 247 is divided by (-6)/(-8) - 4*(-174)/96.
7
Let w(q) = q**3 - 6*q**2 - 4*q - 7. Suppose -5*p = 2*t - 140, -3*t = -4*p + 2*t + 79. Calculate the remainder when p is divided by w(7).
12
Suppose 20*n - 26 = 18*n. What is the remainder when 545 is divided by n?
12
Let h = 1867 - 1521. What is the remainder when h is divided by 117?
112
Suppose -201 = -2*u - 5*p, -2*u + 0*u = -3*p - 225. Suppose 3*h = -h + u. Calculate the remainder when h is divided by 10.
7
Suppose -3*w + 156 = 6. Suppose -3*g = o - 13 - 9, 5*g = o + w. Calculate the remainder when g is divided by 6.
3
Let t(v) = v**2 - 14*v. Let p be t(14). Suppose 2*f + p*f = 30. Calculate the remainder when 103 is divided by f.
13
Suppose 2*j + j = 0. Suppose j = -2*m - 4 + 10. Calculate the remainder when 2/m - (-283)/3 is divided by 24.
23
Suppose 2 = 2*c - 34. Calculate the remainder when 99 is divided by c.
9
Suppose 54 = o + 2*a, -5 - 11 = -4*a. Calculate the remainder when 597 is divided by o.
45
Suppose 5*h - 45 = 3*j, 3*j = 2*j. Let d(p) = -p**2 + 6*p + 747. Calculate the remainder when d(-23) is divided by h.
8
Suppose -6*v + 17*v = 957. Calculate the remainder when v is divided by 15.
12
Suppose 3 = -5*m + 4*j + 31, 2*m = -4*j. Suppose 6*b - 16 = m*b. Suppose 4*h - y - 60 - b = 0, y = -4. What is the remainder when 60 is divided by h?
12
Let m(f) = f**2 - 4*f + 34. Let g be 1/5 + (-21)/105. Let c(l) = l**2 - 6*l + 6. What is the remainder when m(g) is divided by c(6)?
4
Suppose 0 = 3*j - 113 - 40. Suppose 2*c = -2*c + 4*z + 44, -z = -5*c + j. What is the remainder when 48 is divided by c?
8
Let d(b) = b**3 - 4*b**2 - 8*b + 2. Suppose -a + 2*a = 6. What is the remainder when 103 is divided by d(a)?
25
Suppose 1 = z + 9. Let i = z - -39. Suppose 0 = 4*o - 10 - 22. Calculate the remainder when i is divided by o.
7
Let l(h) = 4*h - 3. Let n be l(14). Suppose -5*q = -n - 72. What is the remainder when 48 is divided by q?
23
Let x(g) = -g - 2. Let p be x(-5). Suppose -p*n + 27 = -3*w, -3*n + 3 = -2*n + w. Suppose -6*k = -8*k + n. Calculate the remainder when 5 is divided by k.
2
Let j = -23 - -23. Suppose -u + 0*m - m = -37, -3*m - 9 = j. Let p = -13 + 34. Calculate the remainder when u is divided by p.
19
Let z(w) = 2*w**2 - 86*w + 166. What is the remainder when 19 is divided by z(41)?
1
Let f = 4 - -6. Suppose -16 = -t + 29. What is the remainder when t is divided by ((-48)/f)/(6/(-20))?
13
Let p(r) = r**3 - 3*r**2 - 8*r - 5. Let c be p(5). Suppose 2*d + 2*d - 88 = -5*m, -c*m = 0. What is the remainder when 42 is divided by d?
20
Suppose -150 = -7*l + 2*l. Let n = l - 40. Let z = 0 - n. What is the remainder when z is divided by 3?
1
Suppose l = 12 + 10. Let r = -11 + 18. What is the remainder when l is divided by 2/r - 560/(-98)?
4
Let v(r) be the second derivative of r**4/12 - r**3/3 + r**2/2 + r. Let c = 1173 + -1169. What is the remainder when 23 is divided by v(c)?
5
Let u = 22 + -16. Suppose s + 31 = 40. What is the remainder when s is divided by u?
3
Let v(d) = -3*d + 4*d + 3 + 5*d - d. Let k be v(3). Let n = -4 + k. Calculate the remainder when 53 is divided by n.
11
Suppose 2*t + 3*u = -3*t, -4*u = 5*t. Suppose t = -5*k + k - 2*z + 66, 5*k - 5*z = 60. What is the remainder when 58 is divided by k?
13
Let g = -1860 - -1868. Calculate the remainder when 1735 is divided by g.
7
Suppose -10 = -3*f - 1. Let r = 43 - 23. Suppose -w = -f*w + r. What is the remainder when 27 is divided by w?
7
Let v(q) be the second derivative of -1/10*q**5 + 7*q - 5/12*q**4 + 1/2*q**2 + 0 - 2/3*q**3. Calculate the remainder when v(-3) is divided by 12.
10
Let h(s) = 3*s**2 - 55*s + 39. Calculate the remainder when 99 is divided by h(18).
15
What is the remainder when 61 is divided by (-6)/(-9) + (-92)/(-6)?
13
Suppose 15*l = -146 + 1541. What is the remainder when 182 is divided by l?
89
Let x(z) = z**2 - 2*z + 4. Let n(d) = -38*d**3 + 42*d**3 + d**2 - 2 - 1. What is the remainder when n(2) is divided by x(4)?
9
Suppose 3*p + 23 = -b, b - p + 9 = -2. Calculate the remainder when 12 is divided by 2/((-60)/b - 4).
5
Calculate the remainder when 8/(-28) + (1264/14 - 1) is divided by 25.
14
Suppose -2*f + 15 + 23 = 0. Let t = 128 + -123. What is the remainder when (3 + 2 + -4)*f is divided by t?
4
Calculate the remainder when 202 is divided by (-5882)/(-85) - (-2)/(-10).
64
Let u be 2 - (16/(-40) - (-2)/5). What is the remainder when 16 is divided by (-5)/u*2*-1?
1
Let f(g) = 20*g + 2. Let h = 23 - 22. Let v be f(h). Suppose -3*i + 2*i = -v. What is the remainder when i is divided by 12?
10
Let l(p) = 100*p**2 - 88*p**2 + 4*p - 5 - p**3 + 12*p. Calculate the remainder when l(13) is divided by 18.
16
Suppose -56*d + 235 + 157 = 0. What is the remainder when 12 is divided by d?
5
Let v be (1 - 7/5)*-5. Suppose 2*g - 332 + 6 = 4*m, 316 = v*g + m. What is the remainder when g is divided by 32?
31
Calculate the remainder when (6 - 508 - 1)*-1 is divided by 8.
7
Suppose 0 = 3*t + 3*k - 24, 5*t - k = -0*k + 58. Suppose -w = -5, -o + 45 = -3*w - t. Calculate the remainder when o is divided by 28.
15
Suppose -10 = -q + 2*o + 2, -7 = 4*q + 3*o. Suppose -3*h = -4*k + q*k - 100, h = k + 48. Calculate the remainder when 171/4 + 33/k is divided by 11.
9
Let z = -88 - -115. Calculate the remainder when 242 is divided by z.
26
Suppose 10*s + 2*j = 6*s + 54, -s + 4*j = -27. What is the remainder when 250 is divided by s?
10
Let w(r) = -r - 6. Let l be w(-8). Suppose -l*q = -6*q - 44. Let h = q + 20. Calculate the remainder when h is divided by 2.
1
Let i(z) = z**2 - 3*z + 3. Let j be i(3). Let d = j - -2. Suppose 5*s - d = 0, -6*k + 2*k = -s - 43. What is the remainder when 30 is divided by k?
8
Let s = 0 + 20. Let h = 25803 + -25801. Calculate the remainder when s is divided by h.
0
Let z be (-7)/(-2)*(-16)/(-28). Suppose -z*s + 0 = 4. Calculate the remainder when s/(-6) - 87/(-9) is divided by 3.
1
Suppose -3*v - 4*y - 14 = -v, -3*y - 9 = 0. What is the remainder when v/(((-25)/95)/5) is divided by 7?
5
Suppose 2*t = -5*a + 44, 0*t - 19 = -t - 4*a. What is the remainder when 107 is divided by t?
26
Suppose -2*k + 341 = 5*s, 146 = 2*s + 7*k - 3*k. What is the remainder when 462 is divided by s?
60
Suppose 0 = -3*f - j + 112, -f + 0*j + 5*j = -48. Suppose -100*p - 660 = -106*p. Calculate 