pose 579 + 377 = 4*z. Suppose 2*n + 1443 = 5*a, -a + z = 4*n - 32. What is the remainder when a is divided by 18?
17
Let p(v) = -89*v**3 - 6 + 18*v**2 + 54*v + 46*v**3 + 44*v**3. What is the remainder when p(-5) is divided by 5?
4
Let d(q) = -10*q + 53. Let l = 169 - 164. Calculate the remainder when 5 is divided by d(l).
2
Let n(h) = -h**3 + 2*h**2 - 3. Let m(j) = 2*j**2 + 16*j + 37. Let f be m(-7). Suppose -5*o - 396 = -f*o. What is the remainder when n(-3) is divided by o?
20
Let y(n) = -n**3 - 4*n**2 - 3*n + 2. Let j be y(-2). Suppose -3*p = -4*p + 77. Calculate the remainder when p is divided by (j - 52)*60/(-80).
38
Let t be 3*(-6)/9 - -22. Suppose -125 - t = -5*i. What is the remainder when i is divided by 8?
5
Let i(g) = -19*g + 128. Let c(k) = -96*k + 638. Let q(t) = 3*c(t) - 16*i(t). What is the remainder when q(9) is divided by 4?
2
Suppose -2*t + 5*t = 150. Suppose p + 25 = -4*u - 12, -3*p = -4*u - 17. Let s = u - -157. What is the remainder when s is divided by t?
49
Suppose o - 37 = 5*z, -381 = -5*o + 4*z - 91. What is the remainder when 1104 is divided by o?
50
Let r = 49 + -29. Let n(d) = -d**2 + 19*d + 27. Let k(o) = -2*o**2 - 13*o + 3. Let p be k(-6). What is the remainder when n(p) is divided by r?
17
Let l(k) = -124*k + 5771. Calculate the remainder when l(43) is divided by 56.
47
Let w(r) = r**3 - 10*r**2 - 6*r + 18. Let z be w(10). Let i = z - -45. Suppose 0 = i*t + 1 - 19. What is the remainder when 16 is divided by t?
4
Let v = -7218 + 7645. Calculate the remainder when v is divided by 27.
22
Let z = -11 + 21. Suppose 5*x = 3*o + 49, 16*o = -2*x + 19*o + 16. Calculate the remainder when x is divided by z.
1
What is the remainder when (5/20 - 1) + 1574/8 - 5 is divided by 100?
91
Suppose -8*p = 2338 - 15736 - 2010. Calculate the remainder when p is divided by 47.
46
Calculate the remainder when (-1 + -4)*((-899)/5 - 16) is divided by 28.
27
Let d(x) = 198*x**3 + 5*x**2 - 6*x - 1. Calculate the remainder when 384 is divided by d(1).
188
Suppose 14*a - 21*a + 420 = 0. What is the remainder when (-5)/200*5 + 6148/32 is divided by a?
12
Let b(s) = -s**2 + 133*s - 121. Calculate the remainder when b(131) is divided by 98.
43
Calculate the remainder when 404 is divided by (1239/(-49))/((-8)/56).
50
Suppose -23 + 5 = 18*c. Let d(x) = -x - 6. Let z be d(-6). Calculate the remainder when 4 + c - (-10 - z) is divided by 3.
1
Let c be (-1)/((-1)/2) + 125. Suppose 0 = g + h - 26, -2*h = 4*g - c + 27. Let m = 30791 - 30769. What is the remainder when g is divided by m?
2
Suppose 11*c - 378 + 191 = 0. Suppose -547 = -47*u + c. What is the remainder when 2*29*(-1 + 2) is divided by u?
10
Calculate the remainder when (32/(-8) + 2)/(22/(-5181)) is divided by 204.
63
Suppose 11 = -4*q + 47. Let s = 13 - q. What is the remainder when 13 - (-5 - (-8)/2) is divided by s?
2
Let q(d) = 4*d**3 + 2*d**2 + 18*d - 29. Calculate the remainder when 191 is divided by q(2).
3
Suppose -725399 - 280102 = -79*x + 1300509. What is the remainder when x is divided by 328?
326
Let i be 1/(-3) - (-235)/(-141). Calculate the remainder when 75/i*(-6 - (-4 - -2)) is divided by 32.
22
Suppose -40*q = -43*q + 2*r + 703, 4*r + 1169 = 5*q. Suppose q*z + 33 = 240*z. Suppose -2*b = -3*b + 6. What is the remainder when z is divided by b?
5
Suppose 4*q + 5*k - 3792 = -969, -4*q = -3*k - 2831. Let n = 17 + -28. What is the remainder when 2/n - q/(-77) is divided by 2?
1
Suppose -2*s = 90*t - 89*t - 11, 5*t = 3*s + 107. What is the remainder when 3655 is divided by t?
7
Suppose 11*p + 26*p - 421 - 23 = 0. Calculate the remainder when 3357 is divided by p.
9
Suppose 3*r = 5*r - 38. Suppose -y + r = 2. Let j(m) = -m**3 + 11*m**2 + 32*m - 30. What is the remainder when j(13) is divided by y?
14
Let h be 2/6*(-11)/22*3882. Let j = h + 659. What is the remainder when ((-9)/2)/(3/(-30)) is divided by j?
9
Suppose 3*p = -p - 752. Let l be (-750)/6 - (1 - -1). Let k = l - p. Calculate the remainder when k is divided by 32.
29
Let t(q) = -2*q**3 - 34*q**2 - 2*q - 23. Let w be t(-17). Suppose -w*g + 161 = -290. What is the remainder when g is divided by 24?
17
What is the remainder when (5 - -8300) + 5 + (-16 - -20) is divided by 21?
19
Let s(m) = -4*m**3 + m**2 - m - 1. Let p be s(-1). Suppose p*n - 3303 = -4*n. Suppose 1057 = 10*t + n. Calculate the remainder when t is divided by 25.
19
Suppose 13*u - 66 = 25. What is the remainder when 767 is divided by u?
4
Let w(p) = -p**3 - 7*p**2 + 11*p + 38. What is the remainder when 1327 is divided by w(-8)?
11
Let o = 157 - 150. What is the remainder when 71 is divided by (-5 - -19) + (o - 3)?
17
Let z = -62 + 185. Suppose -u - 3*c + 21 = 2*c, 2*u + 2*c = 42. What is the remainder when z is divided by u?
18
Suppose 5858 + 5306 = 5*m - 3*o, -2*m + 5*o = -4439. Calculate the remainder when 4480 is divided by m.
6
Suppose -3*k - 195 = -216. Let i(o) be the first derivative of -o**3/3 + 11*o**2/2 - 10*o - 6. Calculate the remainder when 89 is divided by i(k).
17
Let f = -3467 + 3769. Calculate the remainder when f is divided by 22.
16
Suppose 0 = -19*a + 7*a + 516. Let l = 36 - a. Let n = 91 + l. Calculate the remainder when n is divided by 11.
7
Suppose -51*l + 17*l = -680. What is the remainder when 268 is divided by l?
8
Let x be 21390/30 + (-5 - (-1 + -1)). Suppose -x = -10*t + 260. Calculate the remainder when t is divided by 1 - 2 - -5*7.
29
Suppose 3*a + 4*o = 109, 14*o - 19*o + 175 = 5*a. What is the remainder when 69 is divided by a?
7
Let y = 809 + -804. Calculate the remainder when 3991 is divided by y.
1
Let a = 3847 - 3453. Calculate the remainder when a is divided by 33.
31
Suppose 80 = 8*s - 24*s. Calculate the remainder when 93 is divided by 76/(-95) + (-104)/s.
13
Suppose 0 = -4*k + 588 - 80. Let l(i) = -6*i**2 + 60*i - 18. Let x be l(7). Let s = k - x. What is the remainder when 23 is divided by s?
4
Let b(p) be the third derivative of 19*p**4/24 - 5*p**3/6 - p**2. Suppose 0 = 21*a - 719 - 1381. What is the remainder when a is divided by b(3)?
48
Let y = 1555 - 190. Suppose -53*l - y = -60*l. What is the remainder when l is divided by 6?
3
Let i(r) = -r**2 - r + 190. Let f be i(0). Suppose -2*l - 183 = 57. Let a = f + l. What is the remainder when a is divided by 12?
10
Let z = -187 - -299. Let u = z + -108. Calculate the remainder when (12/(-10))/((-6)/75) is divided by u.
3
Let t = -4936 + 4995. Calculate the remainder when 935 is divided by t.
50
Suppose 450 = 5*p + 4*t, -p = 2*t - 221 + 137. Suppose 5*y + 26 - 6 = 0, -5*z + 4693 = -2*y. What is the remainder when z is divided by p?
91
Suppose 12*j - 693 = -213. What is the remainder when 137 is divided by j?
17
Suppose 2*s = 5*r - 10, -2*r + 4*s - 7*s = -23. Suppose -5 = r*c + 51. Calculate the remainder when -1*c/(-2 - (2 - 6)) is divided by 4.
3
Suppose 2*r - 42 = -3*u + 7*r, -5*r = u - 14. Calculate the remainder when 467 is divided by u.
5
Let r = -202 + -147. Let n = -346 - r. Calculate the remainder when 34 is divided by n.
1
Let r = 4753 + -4722. Calculate the remainder when 1702 is divided by r.
28
Let v be (-30)/120 + (-26)/(-8). Let q(a) = -21*a**3 + 4*a + 11*a**v + 24 + 11*a**3 - a**2. What is the remainder when 69 is divided by q(0)?
21
Suppose 0 = 5*y + 4*n - 139, 4 = -144*n + 143*n. Calculate the remainder when 363 is divided by y.
22
Suppose -22*a + 16 = -x - 25*a, 0 = -a - 9. Calculate the remainder when 243 is divided by x.
1
Suppose 0*k + 19*k = -22*k + 10578. What is the remainder when k is divided by 238?
20
Suppose -2*a - 16 = -5*c, c - 4*c + 15 = -3*a. Let w be (-5)/(-2 + a)*5. Suppose 10 = -w*j + 7*j. Calculate the remainder when 8 is divided by j.
3
Suppose 2564 = 18*j + 854. Let t = j + -72. Calculate the remainder when 504 is divided by t.
21
Let a(z) = 4*z**2 + 44*z + 16. Let q be a(-29). Suppose 280 - q = -8*w. What is the remainder when w is divided by 46?
44
Let t = -2495 - -2947. What is the remainder when 911 is divided by t?
7
Let n = 38 + -36. Suppose -3*t = n*t - 5, 5*t - 5 = -3*i. What is the remainder when -1 + 106 - i - -1 is divided by 27?
25
Suppose 113 = -d - 5*w, 0*d + 2*w = -4*d - 434. Let t be d*(10/75)/(1/5). Let n = t + 150. Calculate the remainder when n is divided by 9.
6
Suppose -4*a = -5*g - 12, -2*g = 3*a - 31 - 1.