- 16. Let y = q + -4. Suppose -5*v + 17 = 4*o, -23 = -5*v - 5*o - 3. What is the remainder when y is divided by v?
0
Let y(n) = -n**2 - 4*n + 3. Let o be y(-5). What is the remainder when (o + 0)*(-287)/14 is divided by 21?
20
Suppose -32 = -t - t + 2*n, 3*t + 4*n = 76. What is the remainder when 57 is divided by t?
17
Suppose 43 = -5*x + 198. What is the remainder when 59 is divided by x?
28
Let h = -129 - -289. Suppose 2*c + 0*a = -2*a + 108, -a = 3*c - h. Calculate the remainder when c is divided by 14.
11
Suppose 10 = -2*s, 2*f + 3*s = -2 - 9. Suppose -d - f = -10. What is the remainder when 21 is divided by d?
5
Let u = 5 - 3. Suppose t + u*n = 17, -t + n + 5 = -n. What is the remainder when 42 is divided by t?
9
Let u(j) = -j**3 - 3*j**2 - 2*j - 3. Let m be u(-2). Let v(o) = o + 4. Calculate the remainder when 1 is divided by v(m).
0
Let j(a) = -a**3 + 8*a**2 + 7. Calculate the remainder when 22 is divided by j(8).
1
Suppose 0 = -n + 2*g - g + 47, 2*n = -5*g + 80. What is the remainder when n is divided by 17?
11
What is the remainder when 15 is divided by (4 - 2)/((-1)/(-3))?
3
Suppose 9*i + 2*a - 275 = 4*i, 2*a = -3*i + 161. What is the remainder when i is divided by 17?
6
Let v(k) = -k**3 + 4*k**2 + 14*k + 2. What is the remainder when 39 is divided by v(6)?
11
Let j = -22 + 22. Let z = 12 + j. Calculate the remainder when 47 is divided by z.
11
Let n = -9 - -18. Let m(t) = -t**3 - t**2 + t + 16. Let r = -4 - -4. What is the remainder when m(r) is divided by n?
7
Suppose 0 = -16*n + 5*n + 55. What is the remainder when 5 is divided by n?
0
Let s(t) = 6*t**3 + t**2 + 3*t - 2. Calculate the remainder when s(2) is divided by 20.
16
Let g be (-20)/(-7)*(-28)/(-8). Suppose 0 = 2*t - g, 0 = 2*i - 2*t - 13 - 15. Calculate the remainder when i is divided by 44/6 - (-1)/(-3).
5
What is the remainder when 29 is divided by (-92)/(-12) - 1/(-3)?
5
Calculate the remainder when 98 is divided by -6*(2 + (-10)/4)*11.
32
Suppose 0*r + 3*j = -r + 17, 4*j + 20 = 4*r. Suppose o = -o + r. What is the remainder when 1/4 - (-139)/o is divided by 12?
11
Let k(p) = 3*p**3 - 5*p + 12. Suppose -2*s + 6 = -22. Calculate the remainder when k(2) is divided by s.
12
Let y(h) = -2*h + 1. Let t(n) = -n**3 - 7*n**2 - 6*n - 2. Let g be t(-7). Suppose -g = -3*f + 11. What is the remainder when f is divided by y(-4)?
8
Let o(l) = l**2 + 3*l + 5. Let d = -72 - 2. Let c = -48 - d. What is the remainder when c is divided by o(-4)?
8
Let b(y) = y**3 - 7*y**2 - y + 10. Let x be b(7). Suppose -3*a + 2*c - 23 = -112, -2*a - x*c + 55 = 0. What is the remainder when 113 is divided by a?
26
Let s(n) = -n**3 - 14*n**2 - 5*n + 1. What is the remainder when s(-14) is divided by 25?
21
Let o be (-8)/(-44) - 130/(-11). Suppose 3*g - o = 2*g. Let b(t) = 32*t + 1. Calculate the remainder when b(1) is divided by g.
9
Suppose 2*t = t + 10. What is the remainder when 77 is divided by t?
7
Suppose -3*u + 5*t = -23, 5*t - 3*t + 3 = -5*u. Suppose -4 = -y - u. Calculate the remainder when 10 is divided by y.
1
Suppose 0 = -x - 3*p + 9, -x + 9*p + 17 = 4*p. Let s = 58 + -24. Calculate the remainder when s is divided by x.
10
Let l(g) be the second derivative of -g**3/3 - 6*g**2 - 5*g. Calculate the remainder when 30 is divided by l(-10).
6
Let o be ((-24)/9)/(1/(-3)). Suppose o*x - 3*x - 135 = 0. Let t(l) = -l**3 - l**2 + l + 10. What is the remainder when x is divided by t(0)?
7
Suppose -j + 3*j - 46 = 0. Suppose -4*i = -m + j, 3*m + 17 = 4*i + 46. Calculate the remainder when 5 is divided by m.
2
Let q(h) = h**3 + 8*h**2 + 5*h + 9. Suppose 3*d - 21 = 6*d. Calculate the remainder when 90 is divided by q(d).
21
Suppose -6*s + 39 = -3*s. Calculate the remainder when 49 is divided by s.
10
Suppose 0 = 5*m - 3 - 7. Let g = 9 + -9. Suppose 3*k = m*i + 176, -4*k + i + 228 = -g*i. Calculate the remainder when k is divided by 19.
18
Suppose 0 = 3*u - 32 - 34. Let j(x) = 5*x**2 - 2. Calculate the remainder when j(3) is divided by u.
21
Suppose 5*x + 2 - 17 = 2*w, -x = -4*w + 15. Suppose 2*j = -0*j + 2*g - 4, -4*g + 26 = 2*j. Calculate the remainder when x is divided by j.
2
Suppose 0 = -2*x, 3 + 0 = m - 2*x. Suppose -4*g + 5 + m = 0. Let t(c) = -2*c - 3. Calculate the remainder when t(-3) is divided by g.
1
Suppose -3*j - w = -4, -3*w = 2*j - 0*j + 2. Let r = 23 - j. Let k = 31 - r. What is the remainder when 28 is divided by k?
8
Let d(r) = -r**3 - 2*r**2 - r - 1. What is the remainder when 40 is divided by d(-3)?
7
Let c = -34 + 8. Let x = c + 39. What is the remainder when 64 is divided by x?
12
Suppose -n + 3*n - 36 = 0. Let h(a) = -a**3 + 7*a**2 + 9*a - 4. Let z be h(6). Suppose -n = -4*r + z. Calculate the remainder when r is divided by 9.
8
Let a = 79 - 34. Calculate the remainder when a is divided by 16.
13
Let b = -2 + 38. Suppose l + 3*l - b = 0. Calculate the remainder when 35 is divided by l.
8
Suppose -5*a = -5*g + 105, -g - 1 = -5*a - 34. Let b(j) = 10*j - 5. Calculate the remainder when b(4) is divided by g.
17
Let l = -11 - -18. What is the remainder when (-930)/(-70) - 2/l is divided by 6?
1
Suppose 3 + 2 = g. Calculate the remainder when g is divided by 4.
1
Let r(t) = t**3 - 2*t**2 - 5*t + 2. Calculate the remainder when 40 is divided by r(4).
12
Suppose 4*w + 1 = 5. What is the remainder when 14 - 2 - (w - 3) is divided by 5?
4
Let s be 3 - (-1 + (0 - 1)). Suppose 4*a = s*z + 69, 100 = 5*a - z + 19. Let c = 4 + a. Calculate the remainder when c is divided by 7.
6
Suppose -5*g + 5*k = -43 - 12, 3*k + 6 = 0. Calculate the remainder when g is divided by (4/(-6))/((-20)/180).
3
What is the remainder when 80 is divided by (-8)/20*(-60 - 0)?
8
Let z(p) = p**2 - 4*p + 4. Let o be z(3). Suppose 4*t = 3*a - 28, 3*a + o = -5*t - 7. Calculate the remainder when -51*(-1)/((-6)/t) is divided by 18.
16
Suppose -11*u - 22 = -13*u. Calculate the remainder when -1*((-62)/2)/1 is divided by u.
9
Let u(d) = -d**2 - 29*d + 39. Calculate the remainder when u(-21) is divided by 14.
11
Suppose -2*d - 14 = -146. Suppose o + 2*o + 3*u - d = 0, -5*o = -2*u - 138. Suppose b + b - o = 0. What is the remainder when b is divided by 7?
6
Let m = -4 + 5. Let f(q) = q + 8. What is the remainder when f(0) is divided by 9/m*(-5)/(-15)?
2
Suppose 5*a + 940 = 3*h, 5*a - h - h = -940. Let j = a - -311. Calculate the remainder when ((-2)/2)/((-3)/j) is divided by 11.
8
Suppose -2*k - 26 = -74. What is the remainder when k is divided by 14?
10
Let g(t) = -t + 4. Let n be g(3). Let q = n - -41. Calculate the remainder when q is divided by 15.
12
Let v = 22 - 9. Suppose -4*d = -5*d. Suppose d = 4*a + 5*g - 48, 0 = 3*a - 3*g - 9 - 0. Calculate the remainder when v is divided by a.
6
Let u(p) = p**3 - 4*p**2 + 3*p - 2. Suppose 5*n - 12 = 8. What is the remainder when 38 is divided by u(n)?
8
Let o(i) be the third derivative of -i**6/120 + i**5/20 + i**4/8 - i**3/3 + 2*i**2. Let y = -13 - -32. What is the remainder when y is divided by o(3)?
5
Let v(j) = 6*j - 2. Let a be v(6). Suppose -2*y + a = -12. What is the remainder when 45 is divided by y?
22
Let u(i) = i**3 - i**2 - i + 26. What is the remainder when u(0) is divided by 7?
5
Let z(y) = y + 14. Let d be 3*((-3 - -2) + -2). Let t be z(d). Suppose 3*w - 29 = -t. What is the remainder when 14 is divided by w?
6
Let h(f) = -3*f**3 - 6*f**2 + 3*f + 2. What is the remainder when 34 is divided by h(-3)?
14
Suppose 2*l = -3*r + 22, 2*r - 2*l + 12 = 2*l. Calculate the remainder when 13 is divided by r.
1
Suppose 4*z = -5*d + 117, 5*d - 3*z - 31 = 4*d. Let s = -68 + 117. What is the remainder when s is divided by d?
24
Let z(f) = -34*f - 1. Suppose -3*v - 4 = -v. Suppose 4*n + o - 46 - 41 = 0, 0 = 2*n + 2*o - 36. Calculate the remainder when z(v) is divided by n.
21
Let y be 1/2 - 22/(-4). Suppose k + y - 18 = 0. What is the remainder when 21 is divided by k?
9
Let a(x) = -x - 1. Let c be a(-4). Let o = c - 0. What is the remainder when o is divided by 2?
1
Suppose -p = -4*y + 175, -4*y = 2*p - 167 + 1. Calculate the remainder when y is divided by 11.
10
Suppose -b - 8 = -3. Let w(k) = -6*k + 1. What is the remainder when w(b) is divided by 16?
15
Let b(l) = 2*l - 3. Let t(u) = -u**2 - 5*u - 3. Let o be t(-3). Let f be b(o). What is the remainder when 53 is divided by (2 - 44