when 126 is divided by y.
30
Let m(x) = x**3 - 25*x**2 + 26*x + 7. Calculate the remainder when 159 is divided by m(24).
49
Suppose -2*n - 3 = -5, -z + 3*n - 12 = 0. Let k be 6/z + 15/9. Let r(g) = 10*g**2 - g + 1. Calculate the remainder when 29 is divided by r(k).
9
Let h = 23 + -11. Suppose 5*v + u + u = 31, 3*v = u + h. What is the remainder when 28 is divided by v?
3
Let b be 2/(-5) + 24/10. Suppose -12 = -b*u - 2*u. Suppose 4*i = u*i + 14. What is the remainder when 26 is divided by i?
12
Suppose 16 = 4*s, -3*m = -0*m + 3*s - 12. Suppose -4*z = -m*z + 4. What is the remainder when 22 is divided by 3/z - -15 - 0?
10
Suppose 2*a + 234 = 4*j, -j - 3*a + 0*a + 48 = 0. Suppose -j - 133 = -5*s. Calculate the remainder when s is divided by (-1)/3 + (-31)/(-3).
8
Let f(m) = 19*m**3 + 2*m**2 - 4*m - 14. What is the remainder when f(5) is divided by 13?
12
Suppose 55 = 22*d - 275. Calculate the remainder when 162 is divided by d.
12
Suppose 5*z = -3*k + 95, z + 5*k = 21 + 20. Suppose -32 = -3*r - 26. Suppose 36 - 94 = -r*n. Calculate the remainder when n is divided by z.
13
Suppose -5*b + 45 = -2*a + 6*a, -4*a = -4*b - 72. Calculate the remainder when 38 is divided by a.
8
Calculate the remainder when 82 is divided by -3*(-3)/(-3)*-1.
1
Let w(i) = -i**3 + 9*i**2 + 14*i - 5. Let r = -187 + 253. What is the remainder when r is divided by w(10)?
31
Suppose 0*t + 5*r - 10 = -t, -t + 5*r = -20. Suppose -214 - 598 = -14*b. Calculate the remainder when b is divided by t.
13
Suppose -19*s + 116 = -15*s. What is the remainder when 90 is divided by s?
3
Suppose -2*q + 5 = -3*g, -3*g - 20 = -4*q - 7. Suppose 2*c = -6*c + 32. What is the remainder when c is divided by q?
0
Let m = 2065 - 1859. Calculate the remainder when m is divided by 55.
41
Suppose -222 - 157 = -2*u - 5*t, -217 = -u + 3*t. What is the remainder when u is divided by 59?
25
Let z = -6 - -14. Let a(y) = -y**2 + 6*y + 1. Let d be a(z). Calculate the remainder when 11 is divided by d/5 + (-2 - -9).
3
Suppose 0 = -6*h + h + 15, 8 = t - 3*h. Suppose t = c - 3*x, -2*c + 5*x + 21 = -12. Calculate the remainder when c/4 + (-3)/(-6) is divided by 1.
0
Let m(y) = 15*y**2 + 71*y - 7. What is the remainder when 194 is divided by m(-5)?
12
Suppose -7*x + 18 + 24 = 0. What is the remainder when ((-12)/15)/(x/(-165)) is divided by 6?
4
Let y = 1 - 1. Suppose 4*v + y*v - 126 = 2*o, 0 = 2*o + 10. Let p(b) = 56*b - 384. What is the remainder when v is divided by p(7)?
5
Let o(r) = r + 10. Let n be o(-4). Let u be (-11 - 22)*(-14)/n. Suppose -3*y = -u - 16. What is the remainder when y is divided by 8?
7
Suppose -4*a + 12 = -3*a + 2*b, b = -5*a + 42. Suppose -3*x + a = -4. What is the remainder when (3/3)/((-1)/(-15)) is divided by x?
3
Suppose 2*v - 5*f - 124 = 0, -f + 44 = v + f. Calculate the remainder when 91 is divided by v.
39
Let r(f) = f**2 - f - 2. Let x be 2 - (-2 + 3 + -1). Let z be r(x). Suppose z = -2*y + 5 + 9. What is the remainder when 13 is divided by y?
6
Suppose 871*v = 876*v - 195. Calculate the remainder when 96 is divided by v.
18
Suppose 9*k + 1416 = 3*k. What is the remainder when 37 is divided by k/(-24) - (-3)/18?
7
Let d be 21/(-35) + (-272)/5. Let n = -30 - d. Calculate the remainder when 73 is divided by n.
23
Let a(s) = -3*s**3 + 4. Let n be a(-3). Suppose -y = -4*q + 4, 0*y - q + n = 5*y. Suppose 216 = 5*m - 94. What is the remainder when m is divided by y?
14
Let s(z) = 2*z - 3. Let h be s(4). Suppose -4*d - d = 4*b - 8, 4*d + 2*b - 10 = 0. Calculate the remainder when (h - 4)/((-1)/(-13)) is divided by d.
1
Let q = 22 - 4. Suppose -3 + 13 = -t. Let h = t + q. Calculate the remainder when 31 is divided by h.
7
Suppose n = -2*q - 16, 0*n - 4*n - 8 = q. Let g = 16 - q. Calculate the remainder when g is divided by 7.
3
Let i(b) = 6*b**2 + 6*b + 23. Calculate the remainder when i(-3) is divided by 7.
3
Let y be (-30)/((-12)/(-3) + -5). Suppose 7*b = 4*b + y. What is the remainder when 38 is divided by b?
8
Suppose -34*l + 5242 = -130. What is the remainder when l is divided by 7?
4
Suppose 0 = -10*j + 15*j + 330. What is the remainder when 79 is divided by 24/32 + j/(-8)?
7
What is the remainder when (-16)/(-64) + 3609/12 is divided by 24?
13
Suppose n + 5*u - 173 = -3*n, -4*n + 3*u = -165. Let s = 28 - n. What is the remainder when 4 is divided by (-2)/s - (-13)/7?
0
Let s be (-21)/(-6)*-2*1. Let q = s - -20. What is the remainder when 25 is divided by q?
12
Let q = -116 + 203. Calculate the remainder when q is divided by 10.
7
Suppose -9*y + 188 = -5*y. Let u = y - 29. Suppose 0 = 3*f + 4*a - u - 10, 0 = -4*a - 8. What is the remainder when 23 is divided by f?
11
Let p(g) = 42*g - 47. What is the remainder when 90 is divided by p(2)?
16
Suppose 0 = 1307*z - 1305*z - 220. What is the remainder when 2309 is divided by z?
109
Suppose -8*b = -11*b + 42. What is the remainder when 34 is divided by (b*2 + -2)*(-6)/(-12)?
8
Suppose -4*c + 5*u + 163 = 4*u, -2*u = -2*c + 74. What is the remainder when (216/(-40))/(1/(-15)) is divided by c?
39
Suppose -506 + 170 = -2*k. Let a = -348 + 230. Let o = k + a. What is the remainder when o is divided by 17?
16
Let b(g) = g**3 + 9*g**2 - 11*g. Let a be b(-10). Suppose -2*y + s = -181, s + s = a. What is the remainder when y is divided by 19?
17
Suppose 334*t = m + 335*t - 63, 2*m + t = 124. Calculate the remainder when 1279 is divided by m.
59
Let x(s) = -s - 2. Calculate the remainder when 6/(-2) - 312/(-3) is divided by x(-15).
10
Suppose 2*g - 3*f = 769, -3*g + 16*f - 21*f + 1125 = 0. Calculate the remainder when g is divided by 97.
89
Let z(k) = 3*k**2 - 6*k + 9. Let f be z(6). Let j = -53 + f. Calculate the remainder when j is divided by 13 + (-1 - (-3 + 0)).
13
Calculate the remainder when 129 is divided by 32 + 8/(-48) + (-50)/(-12).
21
Let m(s) = -s**3 + 14*s**2 + 16*s - 6. Let x be m(15). Suppose 0*b + 126 = x*b. What is the remainder when b is divided by 2/(-8) - (-13)/4?
2
Suppose -2*v + 71 = 5*c + 6, -15 = -3*c. Suppose 2*p + 3*k - 112 = 0, 0*p = -4*p + k + 238. What is the remainder when p is divided by v?
19
Suppose 0 = -14*w - w + 90. What is the remainder when 51 is divided by w?
3
Suppose -3*u - 5*c + 1192 = 0, 3*c = 11*u - 13*u + 793. Calculate the remainder when u is divided by 56.
53
Let o be (558/(-4))/(-3)*2. Let d be (0 - 1)/(1/(-4)). Suppose 0 = -3*u - 2*x + o, -d*x = 3*u + 48 - 147. What is the remainder when u is divided by 10?
9
Suppose -188*p = -173*p - 285. Calculate the remainder when 207 is divided by p.
17
Suppose 0 = 7*p - 10*p - 3. Let c(i) = -3*i**2 - i. Let z be c(p). What is the remainder when z - 30/(2 - 3) is divided by 10?
8
Let v = 81 - 82. Suppose 5*t = c + 101, -5*t - 3*c + 98 = -c. Calculate the remainder when (v/2)/((-8)/944) is divided by t.
19
Let g = 310 - 302. Calculate the remainder when 30 is divided by g.
6
Suppose 2*h + 3*w - 18 = 0, 10*h + 2*w = 12*h - 28. Calculate the remainder when 83 is divided by h.
11
Let s = -7 + 17. Suppose 5 = -2*i - z, 3*z = -i - 0*z + s. What is the remainder when 8 is divided by (-17)/i + (-6)/15?
2
Suppose 5*z + m - 74 = 34, z - 3*m = 28. Let j = 12 - -53. Calculate the remainder when j is divided by z.
21
Let a(o) = -o**3 + 5*o**2 - 4*o. Suppose z = 2*u - 4*z + 23, -5*u = 5*z - 30. Let p be u/((6/(-9))/(-2)). What is the remainder when 10 is divided by a(p)?
4
Let p be (10/(-14) - -1)*7. Suppose 0 = u + 3*z + p*z - 8, -4*z = -u + 26. Suppose -22 = -5*i + u. What is the remainder when 23 is divided by i?
7
Let n = 28 + -12. What is the remainder when (-10 + (-4 - -12))*-14 is divided by n?
12
Let n = -5 - -1. Let q be (-28 + 6)*50/n. What is the remainder when (6/(-5))/((-10)/q) is divided by 9?
6
Suppose 4*b = 5*o - 42, 2*o + 26 = 4*o + 3*b. Let l = 7 + 31. Calculate the remainder when l is divided by o.
8
Let r = -8 - -57. Calculate the remainder when r is divided by 21.
7
Let o = -400 - -433. What is the remainder when o is divided by 29?
4
Let b(t) = -2*t**2 - t - 4. Let s be b(6). Let d = s + 48. Let p = 48 + d. What is the remainder when 95 is divided by p?
11
Let p(w) be the first derivative of 2*w**3/3 - 32*w**2 + 77*w + 31. What is the remainder when p(33) is divided by 16?
15
Suppose 5*b + 73 = 3*x, -x - b - 2*b = -1. What is the remainder when 1294 