 by 19?
18
Let p(s) = s**3 + 4*s**2 + 3*s. What is the remainder when p(-2) is divided by 2?
0
Let v(d) = d**2 - 9*d + 10. Suppose 4*g + 18 = -4*i + 2*g, -4*g - 11 = 3*i. Let o = 14 + i. Calculate the remainder when v(o) is divided by 4.
2
Let z = 61 + -57. Suppose 5*i = -3*d + 58, -2*i + 17 = -6*d + d. Calculate the remainder when i is divided by z.
3
Let c = 18 + -13. Suppose -4*q + 33 = c*h - 2, 0 = 3*h - q - 4. Let d = -12 - -20. What is the remainder when d is divided by h?
2
Suppose 0 = 5*h - 4*f + 11, 2*f + 4 = -4*h + 4*f. Let u(a) = -h - 1 - 2*a - 2 + 7. Calculate the remainder when u(-7) is divided by 6.
5
Suppose 0 = g - 8 - 1. Suppose 147*m - 140*m = 119. Calculate the remainder when m is divided by g.
8
Suppose 20*w = 18*w + 466. Suppose 0 = -2*p + 111 + 221. Let c = w - p. Calculate the remainder when c is divided by 23.
21
What is the remainder when 153 is divided by 15*1 + 7 + 33/(-3)?
10
Let g(w) = 4*w**2 - 3*w + 1. Suppose 12 = 5*l + 2. Let q be g(l). Let x = q - 7. What is the remainder when 6 is divided by x?
2
Let a(t) = -t**3 - 6*t**2 - 2*t. Let b = 25 + -35. Calculate the remainder when a(-6) is divided by (-5)/b - 26/(-4).
5
Let b(v) = -8*v - 2. Suppose -3*r + r + 16 = 0. Calculate the remainder when b(-3) is divided by r.
6
Let q(f) = f**2 + f + 11. What is the remainder when q(-4) is divided by 3?
2
Suppose 0*x - 12 = -3*x. Suppose -v - 4 = 0, -x*j - v + 228 = 3*v. Calculate the remainder when j is divided by 21.
19
Suppose 5 = i - 0. Suppose -4*h = 5*r - 40, r + 2*h = i + 9. What is the remainder when ((-9)/4)/((-9)/24) is divided by r?
2
Suppose -b - 4 = -6*c + 4*c, 1 = -4*b + 5*c. Calculate the remainder when 15 is divided by b.
3
Calculate the remainder when 88 is divided by 1054/17*(-1)/(-2).
26
Let v(k) = -k**2 - 5*k + 6. Let g be v(-5). Suppose 0 = 3*h - g*j + 3*j - 72, 130 = 5*h - 3*j. What is the remainder when h is divided by 10?
9
Suppose 0 = 2*t - 19 - 7. What is the remainder when 38 is divided by t?
12
Suppose 0 = -4*g - 3*x + 32, -2*g - 4*x = -5*g + 49. Calculate the remainder when 64 is divided by g.
9
Suppose 0*j + 2*j + 6 = 0. Let o be (0 - 1) + (-3)/j. Suppose o*d - 3*d + 60 = 0. Calculate the remainder when 57 is divided by d.
17
Let b(g) = -g + 90. What is the remainder when b(19) is divided by 15?
11
Let c(t) = -6*t + 7. Suppose 3*u + 7 = 2*h + 1, -2*u = h - 3. Let a = -2 - h. What is the remainder when c(a) is divided by 13?
11
Suppose z = -r + 17, -3*z + 5 = 2*z. Calculate the remainder when (-1 + 2)/(1/31) is divided by r.
15
Suppose 0 = 6*g - 4 - 26. Calculate the remainder when 57 is divided by g.
2
Suppose 47 = 3*o - 4. Let a(r) = r - 10. Let m be a(7). What is the remainder when (-296)/(-6) - (-1)/m is divided by o?
15
Let n(m) = -m**3 + 7*m**2 - 3*m - 7. Let p(l) = -l**2 - 3*l + 4. Let g be p(-4). Suppose 60 = -g*z + 3*z. What is the remainder when z is divided by n(6)?
9
Suppose 2*r - 11 = 13. Let h = -64 + 98. Calculate the remainder when h is divided by r.
10
Let r = 281 + -189. What is the remainder when r is divided by 31?
30
Suppose 19 = 3*i + 4*b, 10 = -0*b - 5*b. Let l(w) = 9*w**2 - 1. Let j be l(2). Suppose -4*a + 5*a - j = 0. Calculate the remainder when a is divided by i.
8
Let x(t) = 8*t**3 + t**2 + t - 1. Suppose -4*c + 14 = 50. Calculate the remainder when 472/18 - (-2)/c is divided by x(1).
8
What is the remainder when 247/5 - (-20)/(-50) is divided by 65*((-12)/(-5) - 2)?
23
Suppose -5*n + 9 + 1 = 0. Let o(h) = 4*h**2 + h. What is the remainder when 71 is divided by o(n)?
17
Let w be 0 + 5 - (4 + -2). Suppose w*h = z - 0*z - 12, 15 = -4*h + z. Calculate the remainder when 6 is divided by 4 - h/(-3)*0.
2
Suppose -6*b + 9*b - 162 = 0. Calculate the remainder when b is divided by 14.
12
Suppose -z = -u - 12, -6*z + 64 = -2*z + 4*u. Let x = 32 + 34. What is the remainder when x is divided by z?
10
Let s = 46 + -18. What is the remainder when s is divided by 10?
8
Let l = -13 - -15. What is the remainder when 7 is divided by l?
1
Let z = 365 + -190. What is the remainder when z is divided by 16?
15
Suppose s + 3*d + 4 = 0, -d + 11 = 4*s + 2*d. Calculate the remainder when 9 is divided by s.
4
Let a(q) = -q**2 + 1. Let w(y) = 5*y**2 + 3*y + 4. Let c(r) = -2*a(r) + w(r). Calculate the remainder when c(-2) is divided by 13.
11
What is the remainder when ((0 - 1) + -18)/(-1) is divided by ((-45)/10)/9*22/(-1)?
8
Suppose 4*a + 3*c = -2*c - 611, a = -4*c - 150. Let g = a - -221. Suppose b - 4 = o + 7, 2*o = 5*b - g. What is the remainder when 44 is divided by b?
14
Let b(x) = x**3 + 4*x**2 + x. Let p be 57/21 - 4/(-14). Suppose 3*h = -6 - p. Calculate the remainder when 11 is divided by b(h).
5
Let n be -16*(3/1 + -13). Suppose -3*p + 34 = h, -3*p = 5*h + 2*p - n. Calculate the remainder when h is divided by (-6)/4*32/(-3).
15
Let r(v) = -v**3 - 5*v**2 + 6*v - 4. Let k be r(-8). Suppose 0 = 4*x - 0*x - k. Calculate the remainder when x is divided by 9.
8
Suppose 4 = -v + 3*x, -v = -3*v - x + 13. Suppose 0 = 5*p + 15, -2*p + 47 = v*k - p. What is the remainder when 27 is divided by k?
7
Suppose -4*h + 56 = -4*z, -5*h - 5*z + 30 = -70. Let j = h + -4. Calculate the remainder when 36 is divided by j.
10
Suppose 5*k - 240 = -2*z, 5*k - 5*z = -0*k + 275. Let s(a) = -6*a - 1. Let q be s(-1). Suppose q = -4*f + 73. Calculate the remainder when k is divided by f.
16
Suppose -3*i = -4*i + 12. What is the remainder when i is divided by ((-2)/(-3))/((-12)/(-126))?
5
Let r(s) = 8*s - 11. What is the remainder when r(6) is divided by 13?
11
Suppose -3*w + 455 = 5*n, -2*n + 6*w - 3*w = -161. What is the remainder when n is divided by 23?
19
Suppose 77 = 4*u - 3*o, -4*o = -u - 3*u + 80. What is the remainder when u is divided by 7?
3
Let j(c) = 3*c**2 + 3*c - 1. Let u = -2 - -12. What is the remainder when u*(-5)/(50/(-32)) is divided by j(2)?
15
Let g = 22 - 12. What is the remainder when 27 is divided by g?
7
Suppose -3*t + 4*m = -12 - 11, -4*m = -5*t + 49. Calculate the remainder when t is divided by 8.
5
Suppose 3*f = 6, 5*i - f - 69 = -3*f. Suppose -2*w = 3*w + 4*t - 18, -w = 3*t - 8. Suppose 0 = -3*a - w*a + 125. What is the remainder when a is divided by i?
12
Let s(y) = -y**3 + 32*y**2 - 29*y - 34. What is the remainder when s(31) is divided by 10?
8
Let s(t) = -t**3 - 7*t**2 + 15*t - 8. Calculate the remainder when s(-9) is divided by 5.
4
Let v be (4/6)/((-10)/885). Let l = 106 + v. Calculate the remainder when l is divided by 12.
11
Suppose 0 = 3*c - 5*m - 2, 3*c - 2*m = 8. Suppose -c*x + 56 = 8. Calculate the remainder when 22 is divided by x.
10
Let m = -7 - -35. What is the remainder when 2 + -4 + (115 - 3) is divided by m?
26
Suppose -17*w - 210 = -27*w. What is the remainder when 102 is divided by w?
18
Let c(l) = 5*l**3 - l**2 + 1. Let z be c(1). Suppose -z*i - 5*d + 5 = 0, -3*d + 14 = 2*i - 7*d. Calculate the remainder when 6 is divided by i.
0
Let f(q) = q + 24. Calculate the remainder when 10/15*(66 - 0) is divided by f(-9).
14
Let c be (-3 - 10/(-4))*-2. What is the remainder when (-14)/((-7)/5 + c) is divided by 9?
8
Suppose -2*u = r + r - 28, 59 = 4*u + 5*r. Let n(w) = -w**2 - 2 + u*w - 6 + 1. Calculate the remainder when n(7) is divided by 11.
10
Suppose 4*x = -y + 388, 182 = 5*x - 5*y - 278. What is the remainder when x is divided by 49?
47
Suppose 276 = 5*s + 2*r, -2*s = -s + 4*r - 66. What is the remainder when s is divided by 19?
16
Let l(i) = -2*i - 11. Calculate the remainder when 24 is divided by l(-10).
6
Let t be 0 - (2 + -4)/(-1). Let a be -6*(t + 10/3). What is the remainder when 115/4 + 6/a is divided by 15?
13
Let t(y) = -2*y**3 - 4*y**2 - 5*y + 1. Let v be t(-4). Suppose 3*u = -2*u + v. Suppose -4*l + 264 = 4*l. What is the remainder when l is divided by u?
16
Suppose 36 + 2 = 2*j. Let i(r) = 31*r - 26. What is the remainder when i(2) is divided by j?
17
Let d(t) = t**2 + 8*t - 29. Calculate the remainder when d(-12) is divided by 14.
5
Suppose d - 17 = -0*h - 2*h, 5*h - 2*d = 47. Suppose -5*r + 204 = 74. What is the remainder when r is divided by h?
8
Suppose 6*z + 27 = 7*z. Let c = 1 + 1. Suppose -c*p + 7*p = 70. Calculate the remainder when z is divided by p.
13
Suppose 2 = -2*g - 2. Let w = -1 + 3. Calculate the remainder when w is divided by (4/(-14))/