the remainder when m(-12) is divided by z?
10
Let a(r) = r**3 - 7*r**2 + 10*r + 4. Let y be a(5). Let z(d) = -d**3 + 6*d**2 - 6*d + 16. Calculate the remainder when 62 is divided by z(y).
14
Suppose -5*i - 3 = 12. Let u be i/((-9)/2)*3. Suppose u*o + o = 123. What is the remainder when o is divided by 11?
8
Suppose 0 = 30*w - 17*w - 507. What is the remainder when 426 is divided by w?
36
Suppose 4*v = -12, -5*r + 3*v - 18 = 4*v. Calculate the remainder when 52 is divided by 28/r*-3 - 1.
25
Let u = -462 + 481. What is the remainder when u is divided by 13?
6
Let b = 4 + 11. Let p = b + -12. Suppose -o = -p*o + 8. What is the remainder when o is divided by 3?
1
Let m be (-2)/(-2) + -3 - -139. Let z = m - 57. Calculate the remainder when z is divided by -6 + (-525)/(-20) + (-6)/(-8).
17
Suppose 3*k = 6*k - 12. Suppose -k*t - 3*v + 0*v = -311, 0 = -v + 5. What is the remainder when t is divided by 25?
24
Suppose 3*i - 29 = 88. Suppose -2*j = -j - 18. Suppose -j*t = -13*t - 50. Calculate the remainder when i is divided by t.
9
Let n = -1 - -2. Suppose 0*o - 31 = -3*o - 4*s, -n = 3*o - 4*s. Suppose 2*g - 8 = 0, 2 + 2 = 3*v - o*g. Calculate the remainder when 15 is divided by v.
7
Let v = 1010 + -948. Calculate the remainder when v is divided by 22.
18
Let i(v) = 40*v + 173. What is the remainder when 127 is divided by i(-4)?
10
Suppose -6*c = -2*r - 4*c + 180, -438 = -5*r + 2*c. Calculate the remainder when r is divided by 23.
17
Let s(i) = i - 17. Let c(n) = n + 30. Let v be c(-5). Calculate the remainder when 26 is divided by s(v).
2
Let n(p) = -3*p**3 + 2*p**2 + 7. Suppose -5*d + 16 = -2*d - 5*t, 0 = -3*d + t - 4. What is the remainder when n(d) is divided by 37?
32
Let o(k) = -k + 3. Let h be o(4). Let r be h + 3/(3/67). Suppose -5*w - r = -2*u, 0*u = -u + 3*w + 33. What is the remainder when u is divided by 18?
15
Suppose 10 = -p - 5*a, 4*a = p + 2*p - 27. Suppose 0 = p*l - 1 - 49. What is the remainder when l is divided by 4?
2
Let a = -36 - -76. Suppose -2*i = 2*i - a. What is the remainder when 16 is divided by i?
6
Let v(p) be the first derivative of p**2/2 + 2*p + 2. Suppose 2*g = -4*d + 44, -g + 6*d + 14 = 10*d. Calculate the remainder when g is divided by v(6).
6
Let c = 4 - 3. Let t(g) = 6*g + 2. Let p(b) = b**2 + 3*b - 9. Calculate the remainder when p(-8) is divided by t(c).
7
Suppose 43*s - 912 = 19*s. Calculate the remainder when s is divided by (1 + 1)*(-10)/(-1).
18
Let t(y) = 7*y**2 + 5*y - 3. Let o(h) = -h**3 + 19*h**2 + 48*h - 100. What is the remainder when t(-4) is divided by o(21)?
11
Let f = 42 - -76. Let n(z) = z**3 - 4*z**2 - 11*z - 30. Calculate the remainder when f is divided by n(7).
38
Let g = -22 + 25. Let u = g + 5. Suppose -7*d = -2*d - 65. What is the remainder when d is divided by u?
5
Suppose 26*b + 641 = 27*b. Calculate the remainder when b is divided by 14.
11
Suppose -3*q = 57 + 12. Let o = 5 - q. Suppose 4*p = 5*v - 28 + 2, -2*v + 15 = 3*p. Calculate the remainder when o is divided by v.
4
Calculate the remainder when 173 is divided by -6 - ((-220)/5 - -3).
33
Let n = -31 + 38. Let l = n + 0. Calculate the remainder when 22 is divided by l.
1
Let u be 5/1*(-3)/((-15)/2). What is the remainder when (-1 - u/4)*(-1 - 19) is divided by 7?
2
Let d(w) = 2*w**3 - 2*w**2 - 2*w + 1. Let a be d(2). Suppose a*h = 0, 114 = 3*j - 3*h - 2*h. Calculate the remainder when -1 + (j - 2 - -3) is divided by 10.
8
Suppose 4*p = -2*p + 2676. Let b = p + -312. What is the remainder when b is divided by ((-6)/4)/(-3)*68?
32
Suppose -374 = -16*i - i. Suppose 21*k = i*k - 2. What is the remainder when 17 is divided by k?
1
Suppose -5*i - 2 = -17. Suppose -3*z - 17 = -2*p, p - i*z = -2*z + 11. What is the remainder when 55 is divided by p?
7
Let i = 249 + -30. What is the remainder when i is divided by 20?
19
Let b(y) = y + 8. Let s be b(-6). Suppose 0 = s*o + 3*o. Suppose -4*c - 1 = -4*z - 273, -5*c + 3*z + 350 = o. What is the remainder when c is divided by 25?
23
Suppose 12 = 4*k - 48. Calculate the remainder when ((-21)/2)/(22/(-88)) is divided by k.
12
Suppose 156 + 229 = 7*z. Let a = z - 51. What is the remainder when 6 is divided by a?
2
What is the remainder when (-6 + (16 - 5))/((-5)/(-340)) is divided by 38?
36
Suppose 34 = -3*k + 40. Let m be (-30)/(-9) + (-1)/3. Suppose -l + k = -s - 10, m*l + 2*s = 21. Calculate the remainder when 16 is divided by l.
7
Let l(y) = -y**3 - 6*y**2 - 7*y - 6. Let j be l(-5). Suppose 0*m + j*m - 124 = 0. Let g(q) = -q**3 + q + 90. Calculate the remainder when g(0) is divided by m.
28
Let m(a) = a**3 + 33*a**2 + 28*a - 72. What is the remainder when 118 is divided by m(-32)?
6
Suppose -18*x + 255 = b - 14*x, x = -5*b + 1313. What is the remainder when b is divided by 33?
32
Suppose 171 = 14*d + 17. What is the remainder when 426 is divided by d?
8
Suppose 0 = -3*y - 15, 0 = -4*s - y + 9 + 38. Suppose -s*u - 4 = -15*u. Calculate the remainder when 4 is divided by u.
0
Suppose 8 = i + 2*x, -2*i - 2*x = i - 4. Let o be 2 + 6/9 + 48/9. Let r = o + i. Calculate the remainder when 13 is divided by r.
1
Suppose 4*p - 975 = -9*p. Calculate the remainder when p is divided by 39.
36
Let m = 87 - 66. Calculate the remainder when ((-5)/(75/18))/(6/(-400)) is divided by m.
17
Suppose -5*x = -2*x. Suppose x*p - 10 = -p. Calculate the remainder when (-6)/21 + 121/7 is divided by p.
7
Suppose -l + 4 = -2. What is the remainder when 26 is divided by 6/18 + 64/l?
4
Suppose 0 = 5*f - 10*f + 15. Suppose -5*u = f*r + 112, 10*r + 18 = -u + 5*r. Let k = u + 35. Calculate the remainder when k is divided by 7.
5
Suppose 3*q = 5*h + 11, 0 = -5*h - 4 - 1. Let t(p) = 4*p**2 + 16*p - 19 - 7*p**q + 2*p**2. What is the remainder when 59 is divided by t(13)?
19
Suppose 4*u - 35 = -19. Suppose 0 = u*g, 3*g - 46 = -2*y + 2*g. Calculate the remainder when y is divided by 10.
3
Suppose -2*t + 146 = -2*b, 8*t + 64 = 9*t - 4*b. Calculate the remainder when t is divided by 44.
32
Let o = 24 - -7. Let i(a) = a. Let n be i(-17). Let u = n + o. Calculate the remainder when 69 is divided by u.
13
Let t = -841 - -935. Calculate the remainder when 844 is divided by t.
92
Suppose 1172 = 7*n - 1341. Calculate the remainder when n is divided by 19.
17
Let t(v) = 4*v - 2. Suppose -4*w - 15 = -3*a - 48, 4*a - 12 = -4*w. What is the remainder when t(w) is divided by 8?
6
Suppose 2*l + 2*y - 12 = 0, -14 - 2 = -2*l - 3*y. Suppose l*p + 135 = 171. What is the remainder when p is divided by 5?
3
Let a(s) = s**3 - 5*s + 5. Let q be a(2). Suppose 0 = -n + q*n + 70. Let i = n - -90. What is the remainder when i is divided by 14?
13
Let x = 34 + -15. Suppose -8 - x = -3*h. Calculate the remainder when 50/4*(1 + 1) is divided by h.
7
Suppose -58*k - 620 = -63*k. Calculate the remainder when k is divided by 63.
61
Suppose 2*c + 51 + 12 = 3*z, -3*z + 75 = 2*c. Let v(s) = -s**3 + 8*s**2 + 5. Let t be v(8). What is the remainder when t/(-15) - (-398)/6 is divided by z?
20
Suppose -3*d + 10 = 2*d. Let i be (-59 - 0) + 1 - d. Let q = 46 - i. Calculate the remainder when q is divided by 27.
25
Let i(l) = -l**3 - 6*l**2 + 7*l - 2. Let x(y) = -2*y + 5. Let r be x(6). Let o be i(r). What is the remainder when 42 is divided by (-15)/(-8)*o*-4?
12
Calculate the remainder when 42 is divided by 0 + (-1)/3 + 2040/180.
9
Let n(d) = d**3 + 36*d**2 + 38*d + 165. Calculate the remainder when 290 is divided by n(-35).
50
Let k be (36/24)/(2/60) - 2. Let d = -19 + k. Calculate the remainder when d is divided by 7.
3
Suppose -14*f + 16*f + 5*n - 251 = 0, -488 = -4*f + 4*n. What is the remainder when 377 is divided by f?
8
Let m(d) = 3*d**2 + 22*d + 50. Let i(u) = -u**2 - 8*u - 17. Let w(r) = 17*i(r) + 6*m(r). What is the remainder when 29 is divided by w(4)?
7
Let o be -3 - (-4 + 2 + -5). Suppose -4*m + 11 = 3*y, o*m = m + 5*y + 1. Suppose m*l = -0*l + 14. What is the remainder when 12 is divided by l?
5
Let g be 1/2 - 420/(-24). Let h = g - 0. Suppose 4*o = -8, -2*y + 2*o + 0 + h = 0. Calculate the remainder when 34 is divided by y.
6
Let s be (-5 - 1)*(-6)/9. Suppose -g + 96 = s*g + 2*z, z + 2 = 0. Calculate the remainder when g - -3 - 0 - 2 is divided by 11.
10
Suppose -4*o + 5*l - 2*l + 52 = 0, 42 = 5*o + 2*l. Calculate the remainder when 6 is divided by -3 + (-117)