at is the remainder when r(-45) is divided by a(q)?
11
Let t(x) = 2*x**3 - 8*x**2 - 2*x - 3. Let f(s) = -5*s**3 + 17*s**2 + 5*s + 5. Let n(u) = -3*f(u) - 7*t(u). Calculate the remainder when 20 is divided by n(-5).
9
Suppose 5*z = -5*t + 75, 3*z - 20 - 25 = -4*t. Suppose 0 = -u - 2*u + z. Calculate the remainder when 17 is divided by u.
2
Let i be 4/(-5)*(-220)/(-8). Calculate the remainder when (i/(-4) + 3)*2 is divided by 6.
5
Let t = -12 + 26. What is the remainder when 21/(-28) + (-206)/(-8) is divided by t?
11
Suppose 28 - 12 = -2*g - 2*a, -15 = 3*a. Suppose -97 = -4*t + 27. What is the remainder when t is divided by (-33)/g + (-2 - -2)?
9
What is the remainder when 1 - 3 - (-1 + -92) is divided by 16?
11
Let k(h) = -2*h**3 - 4*h**2 - 3*h. Let x = -1 - 2. What is the remainder when (2 - (-1 - x)) + 11 is divided by k(-2)?
5
Suppose -7 = -3*z - 1. Suppose z*j + 0*j + 5*o - 1 = 0, -j - 3*o = 1. What is the remainder when 14 is divided by j?
6
Let o = -48 - -87. What is the remainder when o is divided by 14?
11
Suppose -4*p + 15 = p. Calculate the remainder when p is divided by 1.
0
Suppose 12*d = 9*d + 21. Calculate the remainder when d is divided by 4.
3
Let x be 6 - 2 - 0 - 2. Suppose x*l = 31 + 15. Calculate the remainder when l is divided by (-36)/15*10/(-2).
11
Let p(o) = -o**2 - 14*o - 17. Suppose -63 = -4*u + 17. Calculate the remainder when u is divided by p(-12).
6
What is the remainder when (-338)/(-18) - (-10)/45 is divided by 12?
7
What is the remainder when (-2)/4 - (-65)/2 is divided by (-442)/(-13)*((-6)/4)/(-3)?
15
What is the remainder when 144 is divided by 38/(-5)*(-35)/7?
30
Let y(g) = -65*g**3 + g**2 - 2*g - 2. Let j be y(-1). Let c = -47 + j. Let z(o) = 53*o + 1. What is the remainder when z(1) is divided by c?
16
Let a(g) = -g**2 + 14*g - 34. Calculate the remainder when 40 is divided by a(8).
12
Let l(f) = 3*f + 1. Let r = -179 + 186. What is the remainder when r is divided by l(1)?
3
Let y(f) = -3*f**3 - f - 1. Let q be y(-1). Suppose 0*d + 2*d + q*c = 11, -4*d - c = -27. What is the remainder when 32 is divided by d?
4
Let u(q) = q**2 + 7*q + 12. Let f be u(-6). Let k = f + 0. What is the remainder when k is divided by 4?
2
Let m(a) = a**2 - 18*a - 12. Calculate the remainder when m(25) is divided by 11.
9
Suppose -5 = 2*q - 23. Let k = -8 + 13. What is the remainder when q is divided by k?
4
Suppose -3*z = 5*x - 15, 0 = -2*z + 4*z + x - 3. Suppose 0 = 6*r - 5*r. Suppose r = -4*f - z*f + 16. Calculate the remainder when 7 is divided by f.
3
Calculate the remainder when 88 is divided by (-10)/(1/(-4) - (-55)/(-132)).
13
Suppose 2*y = -y + 339. Suppose 5*k - 37 = y. What is the remainder when k is divided by 16?
14
Let j(k) be the second derivative of -k**5/10 + k**4/6 + k**3/3 - k**2/2 + 6*k. Calculate the remainder when 54 is divided by j(-2).
16
Let d(b) = -4*b + 7. Let v be d(5). Let s(q) = q**3 + 14*q**2 + 11*q - 9. What is the remainder when s(v) is divided by 6?
5
Suppose 3*d - 91 + 13 = 0. Let c(s) = 0*s + 4 + 0 + 4*s + s**2. What is the remainder when d is divided by c(-5)?
8
Let r(i) = i**2 + 8*i - 13. What is the remainder when 12 is divided by r(-10)?
5
Let f = 26 - 15. What is the remainder when f is divided by 2?
1
Suppose 77 = 5*r - l, l - 3*l - 10 = -r. Calculate the remainder when 63 is divided by r.
15
Let n(v) = -v**2 - 7*v + 5. Let s be n(-7). Suppose s*r - 165 = -0*r. Let y(w) = -2*w**2 - 18*w + 1. What is the remainder when r is divided by y(-8)?
16
Suppose 0 = 5*g - 4*g - 6. Let b = 50 + -28. What is the remainder when b is divided by g?
4
Let z(g) = 2*g - 4. Let i be z(4). Let y be 1/i - (-1)/(-4). Suppose 4*r - 68 = -y*r. What is the remainder when r is divided by 6?
5
Let x = 11 + -5. Suppose 3*z - x = 27. What is the remainder when 32 is divided by z?
10
Suppose -4*a = 5*j - 2*j - 34, -j - 2*a = -14. What is the remainder when (152/j)/((-10)/(-15)) is divided by (-2)/2*1 - -11?
8
Let j(y) = -y**2 - 9*y - 9. What is the remainder when 3 + -3 + -2 + 11 is divided by j(-7)?
4
Let s = 72 - -139. What is the remainder when s is divided by 43?
39
Let y(w) = -2*w + 9. Let z(x) = -5*x + 19. Let s(u) = 7*y(u) - 3*z(u). Let o be s(-7). Calculate the remainder when 15 is divided by (4 - o)*48/30.
7
Let l be (-2 + -4)/(1/(-1)). Suppose 4*o - 3*y = 91, 42 = 5*o - 2*o + 3*y. Calculate the remainder when ((-6)/l)/(1/(-37)) is divided by o.
18
Let p(u) = -u**2 - 7*u - 4. Suppose 3*i - 5*f = 59, -4*i + 90 = -f - 0*f. What is the remainder when i is divided by p(-4)?
7
Let w(p) be the third derivative of p**6/120 + p**5/60 + p**4/24 + 5*p**3/2 + p**2. Calculate the remainder when w(0) is divided by 46/6 + (-3)/(-9).
7
Let b(a) = 9*a**2 + 1. Let n be b(1). Let r be ((-12)/n)/(3/10). Let q(m) = -10*m - 4. What is the remainder when q(r) is divided by 19?
17
Suppose 10*k - 282 = 4*k. What is the remainder when 86 is divided by k?
39
Suppose -u + 13 = 2*d, -d + 6 = -2*d + 2*u. What is the remainder when 19 is divided by d?
3
Let f = 2 - 6. Let k(s) = -2*s**2 + 8*s - s - 2*s - s**3 + 4. What is the remainder when 47 is divided by k(f)?
15
Suppose r = 5*a - 140, 3*a + 2*a + 5*r = 110. Suppose -2*b = b - a. Calculate the remainder when 2/5 + 78/5 is divided by b.
7
Suppose -5*g = 31 - 176. Let b = -2 + 12. Calculate the remainder when g is divided by b.
9
What is the remainder when 25 is divided by (-4)/8*2 + 8?
4
Let r = -28 - -42. Suppose 30 = 3*b + 4*t - 33, -34 = -b + 3*t. What is the remainder when b is divided by r?
11
Suppose 224 + 88 = 3*f + 4*z, -3*f + 312 = -3*z. Calculate the remainder when f is divided by 27.
23
Let a(o) = o**3 - 7*o**2 - 6*o - 5. Let m(i) = -i**2 - i - 1. Let t(x) = a(x) - 5*m(x). What is the remainder when 15 is divided by t(3)?
3
Let u = 179 + -169. What is the remainder when 89 is divided by u?
9
Let x(s) = -s**3 - 8*s**2 - 6*s + 14. Let r be (-14 - -7)/(0 + 1). What is the remainder when 25 is divided by x(r)?
4
Let x(o) = 3*o + 46. What is the remainder when x(0) is divided by 10?
6
Suppose -5*u + 32 = 3*p - 0*p, 11 = 2*u + 3*p. Calculate the remainder when (-4)/(-6) - (-79)/3 is divided by u.
6
Let w = -9 + 31. Calculate the remainder when 85 is divided by w.
19
Suppose f - 17 = -0*f + j, -3*j = 3. What is the remainder when 45 is divided by f?
13
Suppose 0 = 3*k + s - 4*s + 6, -5*s = 0. Calculate the remainder when 2 is divided by ((-3)/(-6))/(k/(-4)).
0
Suppose 0 = -m + 6*m. Let u(q) = 14*q**2 - q + 1. Let s be u(2). Suppose -h = -m*h - s. What is the remainder when h is divided by 19?
17
Suppose 0 = 31*q - 28*q - 144. What is the remainder when q is divided by 14?
6
Suppose 2*j = 6*j + 2*s + 10, 0 = -3*j + 4*s - 24. Let y = j + 19. Calculate the remainder when 43 is divided by y.
13
Let t be 1 + 8*(-1 - -2). What is the remainder when 2 is divided by 2/(-3) + 24/t?
0
Suppose 5 = -s + 11. What is the remainder when 15 is divided by s?
3
Suppose 35*x = 34*x + 6. Let q be ((-5)/(-2))/((-3)/(-6)). Suppose -20 = -0*c - q*c. What is the remainder when x is divided by c?
2
Suppose -3*t + 160 = -302. Calculate the remainder when t is divided by 31.
30
Let d(p) = 4 - 2*p + p + 10. What is the remainder when 19 is divided by d(7)?
5
Let h(q) = -7*q - 4. Suppose -1 = 2*x + 15. Calculate the remainder when h(-3) is divided by 7/((-7)/x) + -2.
5
Suppose 4*m = -m - 5*b + 85, 4*m + 5*b = 72. What is the remainder when 24 is divided by m?
11
Let t = 61 - 17. Suppose 5 = -x + 1, 3*z - t = -4*x. What is the remainder when z is divided by 11?
9
Let n(z) = -z**2 - 14*z - 12. Let t = 39 - 13. Let m = t - -9. What is the remainder when m is divided by n(-12)?
11
Let l be (-4)/(12/(-39)) + -3. Suppose -h + 2*h = l. What is the remainder when 27 is divided by h?
7
Let c(k) = -k**3 + 11*k**2 - 7*k - 10. Calculate the remainder when c(6) is divided by 43.
42
Let m be (-2)/7 + (-116)/(-14). Suppose h = -h + m. Suppose -3*t + 6 = 3*x, -4*t + 2*x + 17 - 3 = 0. What is the remainder when h is divided by t?
1
Let y = 109 - 69. Calculate the remainder when 117 is divided by y.
37
Suppose 0*x + 256 = 8*x. What is the remainder when x is divided by 9?
5
Let v = -7 - -10. Suppose p - 2*p - 91 = 0. Calculate the remainder when (-158)/(-14) - (-26)/p is divided by v.
2
Suppose -5*l + 3*n + 50 = 0, -l + n = -