 132 + x = z*t. What is the remainder when t is divided by 21?
19
Let f(p) = -21*p + 1 + 4*p + 2 - 2. Calculate the remainder when 161 is divided by f(-1).
17
Suppose 13 = 4*s - 279. What is the remainder when 437 is divided by s?
72
Suppose -2*n = -4*h - h + 23, n = -4*h + 8. Calculate the remainder when 53 is divided by (-129)/(-7) - h/7.
17
Suppose -5*g = 3*o - 1178, 7*g - 1179 = 2*g - 4*o. What is the remainder when g is divided by 20?
15
Suppose 0 = 2*f - 4 + 2. Suppose a = -f - 7. Calculate the remainder when (a/(-10))/(4/190) is divided by 20.
18
What is the remainder when (-2)/((-8)/274) + (-24)/48 is divided by 23?
22
Suppose -d - 7 = 4*a - 6*a, -2 = d - a. Suppose 6*c - 2*c = 0. What is the remainder when (-5)/(-1) - (-2 + c) is divided by d?
1
Suppose -97*w = -100*w + 69. What is the remainder when 181 is divided by w?
20
Suppose -2*b + 15 = -25. What is the remainder when ((-68)/6)/((-8)/108*3) is divided by b?
11
Let n = 8 + -5. Let l = 13 - n. Suppose 2*y = 2*g - 0*y - 4, 0 = -3*g - 2*y + 26. Calculate the remainder when l is divided by g.
4
Suppose -27*u + 441 = -18*u. What is the remainder when 147 - 1/(2/2) is divided by u?
48
Suppose 15*z - 19*z + 92 = 0. Calculate the remainder when -86*(0 + 2/(-4)) is divided by z.
20
Let m = 136 + -63. Suppose 0 = -2*g - 4*a + 42, -5*g = 4*a + a - 80. Let o(v) = v**3 - 13*v**2 + 22*v + 19. What is the remainder when m is divided by o(g)?
16
Let b(u) = -u**3 - 37*u**2 - 2*u - 68. What is the remainder when 37 is divided by b(-37)?
1
Let k = -20 - 15. Let z = 44 + k. What is the remainder when z is divided by 6?
3
Suppose -9 = k - 4*k. Suppose k*x = l + 203, 4*x - 100 = 2*l + 172. What is the remainder when x is divided by (-70)/(-4) + ((-44)/(-8))/(-11)?
16
Suppose -6*f - 3000 = -18*f. What is the remainder when f is divided by 52?
42
Let b(w) = w**3 - 5*w**2 + 6*w - 1. Let r be b(6). Suppose -66*h = -r*h + 90. Calculate the remainder when 70 is divided by h.
16
Let y = 24 + 8. Suppose -l - 5*s = -2*s - 8, y = 4*l + 4*s. Suppose -4*v + l = -248. What is the remainder when v is divided by 22?
20
Let r = 28 + -8. Let b(n) = n**2 + 3*n - 10. Let u = -30 + 19. What is the remainder when b(u) is divided by r?
18
Suppose -3*h + 6*h = 60. Suppose 7*i - h - 43 = 0. Calculate the remainder when i is divided by 4.
1
What is the remainder when 166 is divided by 8/7*(-420)/(-40)?
10
Calculate the remainder when 150/(-24)*(-16)/4 is divided by 21.
4
Let q = 110 + -197. Let k = q + 114. What is the remainder when 51 is divided by k?
24
Let y(m) = -m + 9. Suppose 3*w - w = -f + 12, 0 = 2*f + 3*w - 21. Let g be y(f). Suppose -5 = -2*p + g. What is the remainder when 5 is divided by p?
1
Suppose 3*u - 3*g = -24 + 54, 3*g + 58 = 5*u. Let v(y) = -y**3 - 4*y**2 - 2*y - 3. Calculate the remainder when u is divided by v(-4).
4
Let v(b) = 4*b**2 + b - 1. Suppose -p - 1440 = -31*p. Calculate the remainder when p is divided by v(2).
14
Let m(s) = -8*s**3 + 4*s**2 - s - 2. Let l be m(2). Calculate the remainder when 1*(0 + -1)*-27 is divided by 2/(-6) + l/(-3) - 3.
13
Let i be (38/4)/((-6)/(-12)). Suppose -i = -2*n + m, -n = -3*n - 3*m + 7. Calculate the remainder when 31 is divided by n.
7
Suppose -653*i - 360 = -656*i. What is the remainder when i is divided by 45?
30
Let j(q) = 15*q - 24. Let b be j(-4). Let g = b - -105. Calculate the remainder when 145 is divided by g.
19
Suppose 1601 = 19*l - 2129 + 595. Suppose 5*u - 58 = 2. Calculate the remainder when l is divided by u.
9
Suppose -2*r + 4*r - 12 = 0. Suppose q = r + 4. Let s = -20 + 58. What is the remainder when s is divided by q?
8
Let y = 24 + -20. Suppose y*h - 6*h = -22. Calculate the remainder when 21 is divided by h.
10
Let t(v) = v**3 + 8*v**2 - 2*v - 10. Let p be t(-8). Suppose 0 = -n + p - 1. What is the remainder when (-1 + -56)*(-2)/6 is divided by n?
4
Let s = -5 + 3. Let c = 25 + s. Calculate the remainder when 41 + (2 + -7)/(45/(-18)) is divided by c.
20
Suppose -3*m - n = -35, 2*n = 5*m - 0*m - 62. What is the remainder when 45 - ((-24)/(-6) + -6) is divided by m?
11
Let d = 12 - -2. Calculate the remainder when d is divided by 4.
2
Suppose 0 = 4*m - 2*m. Let i be (-140)/(-77) + 4/22. Suppose -i*f + 77 + 27 = m. What is the remainder when f is divided by 18?
16
Suppose -304 = -4*f + 2*t, 9*t - 142 = -2*f + 5*t. What is the remainder when 131 is divided by f?
56
Suppose -24 - 18 = 7*j. Calculate the remainder when 58 is divided by ((-30)/(-25))/(j/(-50)).
8
Suppose 0*g - 5*g - 15 = 0, 4*h = 2*g - 406. Let n = -92 - h. Calculate the remainder when 64 is divided by n.
9
What is the remainder when 196 is divided by (-66)/(-88) - 261/(-4)?
64
Let d(o) = -o**3 - 6*o**2 + 5*o + 9. Calculate the remainder when 257 is divided by d(-8).
63
Let n be (-2)/(-3) - (-5 - 4/(-6)). Suppose -2*h + 50 = 5*z + 3*h, -n*z + 90 = -5*h. Let c = 169 + -116. Calculate the remainder when c is divided by z.
11
Let g(t) = -2*t**2 + 8*t + 165. Let i = 47 + 7. Calculate the remainder when i is divided by g(-7).
10
Let v(d) = 2*d**2 - 41*d + 42. What is the remainder when 34 is divided by v(20)?
12
Let w(p) = p**2 + 13*p + 8. Let q be w(-12). Suppose -4*o - 37 = -5*l + 17, 0 = -3*l - 4*o + 26. What is the remainder when 31 - q*3/(-6) is divided by l?
9
Let c be 9*(-4)/(-3 - -7). Let r = c - -11. Suppose -4*k + r*u = -40, -2*u - 29 = -3*k - 0*k. Calculate the remainder when 32 is divided by k.
10
Suppose 2*y - 19 = 3*g, -3*y = -3*g - 5 - 19. Suppose -12*z + 114 = 26*z. Calculate the remainder when (15/g)/((-1)/2) is divided by z.
1
Suppose -5*z + 125 = -3*y - 2, 0 = z + 3*y - 29. Calculate the remainder when (7 - 6)*(-1 - 0) + 104 is divided by z.
25
Let p(d) = -d**3 - 10*d**2 + 9*d + 4. Let w be p(-11). Let q = -8 + -12. Let r = q + w. What is the remainder when 16 is divided by r?
4
Let u(n) = -n**3 - 12*n**2 + 11*n. What is the remainder when u(-13) is divided by 19?
7
Suppose 2*s - 3*s - 3 = -l, 0 = -4*s + 20. Calculate the remainder when l is divided by 5.
3
What is the remainder when 63 is divided by (291/(-27))/(-1) + 2/9?
8
Let r(g) be the third derivative of 7*g**4/24 + 2*g**3/3 + 7*g**2. Calculate the remainder when r(8) is divided by 16.
12
Suppose -5*p = -41 - 14. Let n(l) = l**3 - 12*l**2 + 15*l - 25. Calculate the remainder when 75 is divided by n(p).
18
Suppose 2*i - 375 = a, 3*i = -4*a + 901 - 322. Suppose 5*j - 969 = -i. Suppose -j = -9*s + 5*s. What is the remainder when s is divided by 14?
11
Suppose 4*s + g = 2*g - 28, -2*s + 5*g - 32 = 0. Let x = s + 12. Let o(h) = h**3 - 6*h**2 + 4*h + 9. What is the remainder when x is divided by o(5)?
2
Let v(n) = -n - 29. Let f be v(-20). Let p(r) = -10*r - 1. What is the remainder when p(f) is divided by 10?
9
Let d(k) = -k + 16. Suppose 6*w = 4*w + 54. Calculate the remainder when w is divided by d(10).
3
Suppose -10*c + 35 + 65 = 0. Calculate the remainder when 28 is divided by c.
8
Let f = 7 - 4. Suppose -69 = -f*x + w, 4*x + 3*w - 92 = 7*w. Suppose y = -5*p + 7, 6*p - 19 = -2*y + p. Calculate the remainder when x is divided by y.
11
Suppose 9*f = -0*f + 5616. Suppose 4*w - 6*w + f = 4*x, -3*x + 468 = -5*w. Calculate the remainder when x is divided by 40.
36
Let q be -8 + 3 + (-33)/(-3). Suppose -o + 8 = -q. Calculate the remainder when 68 is divided by o.
12
Let d = 0 - -2. Suppose -3*u - u - j = -105, j - 53 = -d*u. Calculate the remainder when 100 is divided by u.
22
Suppose t - 84 = 40. Let z = t + -115. Suppose -5*q + 130 = 5*b, -q + 94 = 3*q - b. Calculate the remainder when q is divided by z.
6
Let o = -133 + 134. What is the remainder when 7 is divided by o?
0
Let f be (1*(-4 + 1))/(-1). Suppose -v = 5*g - 20, -4*g + 14 = v - f. Suppose 0 = 7*o - v*o - 22. What is the remainder when o is divided by 3?
2
Suppose -5*s - r = -2*r - 76, -3*s + r = -44. What is the remainder when 447 is divided by s?
15
Suppose 0 = y - 10 + 12. Let z be 573/(-21) + y/(-7). Let r = z + 35. Calculate the remainder when r is divided by 2.
0
Let f = 7 + -16. Let c = f + 23. What is the remainder when c is divided by (-6*12/8)/(-1)?
5
Let b(m) = -m**3 + 10*m**2 + 4*m + 1. Suppose 2*w + 5 = -2*a + 23, -5*w = -2*a + 25. Let p = 48 + -33. Calculate the remainder when b(a) is divided by p.
11
Let w(x) = -x**2 + 2*x. Let r be w(2)