ate the remainder when g is divided by 6.
3
Suppose 116 = c + c. Let x(k) = k**2 - 2*k. Let r = 3 - -2. What is the remainder when c is divided by x(r)?
13
Suppose 2*s = 7 + 41. Suppose 0 = -4*n - j - s, -3*n - j - 4*j = 18. What is the remainder when 20 is divided by (2/n)/(20/(-720))?
8
Let a = -213 + 297. What is the remainder when 334 is divided by a?
82
Suppose m = -3*y + 2 - 1, 2*m - 2*y - 10 = 0. Suppose 2*r + r + 3*s - 36 = 0, m*r = 5*s + 12. What is the remainder when 175 is divided by r?
7
Suppose -h + 271 = -4*x, 0 = -30*h + 25*h + 5*x + 1310. What is the remainder when h is divided by 50?
9
Let c = 381 + -313. Let r = -36 - -50. Calculate the remainder when c is divided by r.
12
Let t(q) = q**2 - 2*q + 1. Let o = 23 + -23. Suppose -4*v - 10 = -6*g + 3*g, 2*v + 12 = 5*g. Calculate the remainder when g is divided by t(o).
0
Calculate the remainder when 15 is divided by (-8)/(-2) - 81/(-27).
1
Let a = 0 - -4. Suppose a*d - 18 = 86. Suppose -2*l = -3*q - 4*l + 52, -q - 1 = -3*l. Calculate the remainder when d is divided by q.
12
Suppose -i + 4*i = 0. Suppose -5*m + 199 - 24 = i. What is the remainder when 103 is divided by m?
33
Suppose o + 13 = i, 3*i - 6*o + o - 45 = 0. Let z = i - 5. Let x = -16 + 30. Calculate the remainder when x is divided by z.
4
Let k(y) = 3*y**2 + 2. Calculate the remainder when k(-2) is divided by -4 + 11 - (-52)/(-13).
2
Let m(y) = -y**2 + 6*y + 2. Let f be m(3). Suppose 15*v - 48 = f*v. What is the remainder when 32 is divided by v?
8
Calculate the remainder when 154 is divided by (1 - -3) + (-2 - 5 - -23).
14
Suppose -3*g - 7 = -22. Suppose g*v - 72 = -3*r - 0*r, -4*r + 85 = 3*v. Calculate the remainder when r is divided by 7.
5
Suppose 729*x = 722*x + 679. What is the remainder when x is divided by 20?
17
Let p(l) = l**3 - 6*l**2 - 23*l + 112. Let a = -9 + 3. Let g(m) = -m**3 - 3*m**2 + 9*m + 8. What is the remainder when g(a) is divided by p(3)?
14
Let a(v) = 3*v - 18. What is the remainder when a(20) is divided by 25?
17
Suppose -342 = -3*j - 120. What is the remainder when j is divided by 41?
33
Let i = 187 + -169. What is the remainder when 87 is divided by i?
15
Suppose -4*i - 19 = -7. What is the remainder when 14 is divided by (-15)/3*(2 + i)?
4
Let d = 2236 - 1649. What is the remainder when d is divided by 84?
83
Let p(w) = -7*w - 3. Suppose -3*n + 21 = 6. Calculate the remainder when (20/(-6))/n*-30 is divided by p(-2).
9
Suppose 0 = -12*z + 440 - 92. What is the remainder when 34 is divided by z?
5
Let o = 671 - 655. Suppose 0 = -4*b + 3*b + 61. What is the remainder when b is divided by o?
13
Let s be ((-24)/(-15))/(2/5) - 3. Suppose -s = 2*a - 65. Calculate the remainder when a is divided by 17.
15
Suppose 44*w - 280 = 512. What is the remainder when 161 is divided by w?
17
Let o(t) = 7*t**2 + 2*t - 2. Let j be o(1). Suppose 0 = 3*q - j*q + 4*g + 32, -41 = -4*q - 5*g. Calculate the remainder when 43 is divided by q.
7
Let k(b) = -7*b + 194. Let z(f) = f + 6. Let y be z(6). Let x = y + 0. Calculate the remainder when k(21) is divided by x.
11
Suppose -5*j - 4*t - 317 = -10*j, -4*j - 4*t = -232. Calculate the remainder when 80 is divided by j.
19
Suppose 13*b = 26 + 13. Calculate the remainder when 26 is divided by b.
2
Let n(k) = k**3 + 7*k**2 - 18*k + 7. Let b(u) be the first derivative of u**3/3 + 3*u**2/2 - 7*u + 2. What is the remainder when b(-6) is divided by n(-9)?
4
Let t be 1*8/(-12)*-6. Suppose 5*o = 0, 0 = -2*a + t*o + 178 + 16. What is the remainder when a is divided by 50?
47
Suppose 0 = l - 4*l + 582. Calculate the remainder when l is divided by ((-25)/(-5) - -3) + 31.
38
Let l(b) = 9*b + 3. Let i be l(-1). Suppose 2*q = -0 + 4. What is the remainder when 1 - (2 + i/2) is divided by q?
0
Let q(u) = -u**2 + 39*u - 10. What is the remainder when 386 is divided by q(35)?
126
Let y = -3121 - -3128. Suppose 3 = -3*h, i + 14 - 39 = -2*h. Calculate the remainder when i is divided by y.
6
Suppose 0 = j - 30 + 10. What is the remainder when j is divided by 9?
2
Suppose -7*o + 2 = -5. Let w(s) = 24*s + 5. Suppose 63 = 4*m + 23. What is the remainder when w(o) is divided by m?
9
Suppose 0 = -5*j + 937 - 332. Suppose 3*i + h - j = 0, 0 = -i + 2*i - h - 43. Calculate the remainder when 121 is divided by i.
39
Let w = -56 - -36. What is the remainder when (66/10 - -1)/(w/(-50)) is divided by 4?
3
Suppose 84 = -0*d + d. Suppose d = 3*j + 3*j. What is the remainder when 80 is divided by j?
10
Calculate the remainder when 702 is divided by -47*11/(-7 + -4).
44
Let q(p) = -p**3 + 21*p**2 + 55*p - 55. What is the remainder when q(23) is divided by 31?
28
Let m(j) = 15*j + 2. Let w be m(5). Suppose -3*y + 106 + w = 0. What is the remainder when y is divided by 13?
9
Let s(m) = -15*m**3 + m**2 + m - 1. Let t be s(1). Let c(u) = -u**3 + 8*u**2 - 10*u - 4. Calculate the remainder when -2*5/(10/t) is divided by c(6).
6
Let p = -20 + 47. Suppose -3*s + 5 + 29 = 2*i, -5*s = -5*i - 40. What is the remainder when p is divided by s?
7
Suppose 138*w - 53*w = 2125. Let j(y) = 4*y**2 - 3*y. Let k(h) = 5*h**2 - 4*h + 1. Let g(a) = 4*j(a) - 3*k(a). What is the remainder when w is divided by g(-4)?
12
Let b(y) be the second derivative of -y**4/12 - 5*y**3/6 + 15*y**2 + 27*y. What is the remainder when 59 is divided by b(-7)?
11
Suppose 15*a - 10*a - m - 329 = 0, -2*a + 4*m = -128. What is the remainder when a is divided by 7?
3
Let s(o) = -o + 3. Let r be s(2). What is the remainder when (9 - -107)*(10/4)/5 is divided by (-30)/(-3 + 1)*r?
13
Let l(d) = -d**3 + 2*d**2 + 6*d - 3. Let k be l(-3). Suppose 42 = -o - o. Let f = o + k. Calculate the remainder when 4 is divided by f.
1
Suppose -17*b - i = -12*b - 1315, -3*b + i = -789. Calculate the remainder when b is divided by 45.
38
Let m be (-835)/15 - ((-6)/9 - -1). Let c = -39 - m. Let v(i) = 66*i**3 - i**2 + 2*i - 1. What is the remainder when v(1) is divided by c?
15
Let y = 5 + -5. Let j = 360 - 297. What is the remainder when j is divided by 5 + -6 - (-23 - y)?
19
Let p be 1 + (4/4 - -2). Suppose 0*y = 5*l - p*y - 3, 4*y = 4*l. Suppose -l*t + 20 = h + 1, 3*h - 18 = 4*t. What is the remainder when h is divided by 3?
1
Let t(o) = -7 + 0*o - 3*o**2 + 16 - 11*o + o**3 - 4*o**2. Let c be t(8). Let a = 29 + c. What is the remainder when 55 is divided by a?
13
Let a = 56 - 17. Suppose -6*d + 417 = 45. Suppose d = 5*w + 4*c, 60 = 4*w + 3*c - 5*c. Calculate the remainder when a is divided by w.
11
Suppose -9*t = -2591 + 44. What is the remainder when t is divided by 22?
19
Suppose 4*k = 23 - 3. Suppose -k*u + 20 = -85. Calculate the remainder when u is divided by 11.
10
Let t = 31 - 45. Let l(o) = -o - 13. Let q be l(t). Suppose 3*p - 4*k - 5 = 0, -p - q + 12 = k. Calculate the remainder when 13 is divided by p.
6
Let l(v) = 2*v**3 + 4*v - 9. Let a be l(5). Suppose 5*s - 114 = a. What is the remainder when s is divided by 39?
36
Suppose -12 = r + 15. Let s = -23 - r. Suppose -4*b + 0*b + 22 = 3*x, -b - 4 = -s*x. What is the remainder when 6 is divided by b?
2
Let p(f) = -5*f + 23. Calculate the remainder when 14 is divided by p(3).
6
Suppose -3*f + 125 = 5*j, 0*f + 75 = 3*j - 3*f. Calculate the remainder when 144 is divided by j.
19
Let u(q) = q**3 + 6*q**2 + 3*q - 23. Let r be u(-10). Let m = 636 + r. Calculate the remainder when m is divided by 46.
45
Suppose -2*f + 232 = -152. Let l = f + -140. Calculate the remainder when l is divided by 19.
14
Let o(a) = -a**3 - 3*a**2 - 9*a + 2. What is the remainder when 213 is divided by o(-4)?
51
Let a(b) = 4*b + 1. Let p be a(2). Suppose 4*z = p*z - 165. Calculate the remainder when z is divided by 18.
15
Let d(u) = u**3 + 3*u**2 - 5*u + 364. Calculate the remainder when d(0) is divided by 74.
68
Let o = 2070 - 1920. Calculate the remainder when 746 is divided by o.
146
Let x(b) = 4*b. Suppose 2*r - 5*r = 0. Suppose r = -3*h - 36 + 57. What is the remainder when x(3) is divided by h?
5
Let b = -4 - -11. Let y(g) = -g**3 - 20*g**2 - 2*g - 43. Let o be y(-20). What is the remainder when 50/(-2)*(0 - o/(-3)) is divided by b?
4
Calculate the remainder when ((-2964)/(-8))/(-19)*-86 is divided by 20.
17
Calculate the remainder when 272 is divided by (6/(-5))/(((-16)/65)/8).
38
Suppose -5 = -s, 3*n - 5*s = n + 69. What is the re