 - 30 = -3*h, -g + 3*h + 15 = 0. Let a(s) = s**3 + 31*s**2 + 58*s + 3. What is the remainder when g is divided by a(-29)?
0
Let r be 1*(-100 + 0/3). Let w = -68 - r. What is the remainder when 63 is divided by w/(-40)*2*-10?
15
Suppose 15 = -4*s - 5*q + 2, -5*q = s - 8. Calculate the remainder when 3 is divided by s + 12 - (-8)/(-2).
0
Let f(n) = -5*n + 2. Let w be f(3). Let j = -51 - w. Let r = -25 - j. What is the remainder when 38 is divided by r?
12
Let z(f) = -58*f**3 - f**2 + 2*f + 2. Let n be z(-1). Suppose 0 = 9*u - 12*u + n. Calculate the remainder when 34 is divided by u.
15
Let n(b) = -b**2 - 4*b + 26. What is the remainder when 65 is divided by n(-6)?
9
Calculate the remainder when 391 is divided by (21/5)/((256/80)/16).
13
Let d(i) = -i - 5. Let g be d(-7). Suppose 0*m + o - 5 = -m, 4*m = -g*o + 18. Let p(w) = -w**3 - w**2 - w + 9. What is the remainder when p(0) is divided by m?
1
Let l(f) = -29*f + 353. What is the remainder when 90 is divided by l(11)?
22
Let o = 24 + -22. Suppose -15 = 5*x, 21 = o*b - 0*b + 3*x. What is the remainder when 52 is divided by (-3)/b - (-273)/15?
16
Let v(o) = o**2 - 11*o + 2. Let f be v(11). Suppose 0*s - f*s = 0. Suppose s = 2*y - 8 - 34. Calculate the remainder when y is divided by 12.
9
Let l(r) = -149*r - 1279. Calculate the remainder when 198 is divided by l(-9).
12
Suppose 3*u + 5 = -2*v, 4*u + 4*v - 1 + 5 = 0. What is the remainder when (39 + -4)/((-3)/u) is divided by 12?
11
Let n = -6 + 8. Suppose -4*f = -n*g - 34, -2*f + 22 = f - 5*g. Suppose -l + 2 = -f. What is the remainder when 20 is divided by l?
9
Let u = 574 + -548. Suppose -3*f = -2*b - 304, 0 = -f + 3*b + 74 + 25. Calculate the remainder when f is divided by u.
24
Let n(i) = -2*i. Let c be n(0). Suppose c = -3*p + 9, -2*q + q = 2*p - 12. What is the remainder when q is divided by 3?
0
Let a(q) = -13*q - 2. Let k be a(-2). Suppose -2*p - 5*w - k = -4*p, -4*p - 4*w = -76. Calculate the remainder when 46 is divided by p.
12
Suppose 5*s = 5*y + 100, 5 = -s - 2*y + 28. Suppose -s + 15 = -3*t. What is the remainder when 110 is divided by (t - 5) + (32 - 1)?
26
Let o = 12 - 8. Let f be -1 - (-1 - (-2 + o)). Suppose 6 = f*h - 0*h. Calculate the remainder when 6 is divided by h.
0
Let o(t) = 6*t**2 - 2*t - 2. Suppose 9*n - 4*n + k - 93 = 0, -4*n = 4*k - 68. Suppose 0 = -n*z + 3*z + 464. What is the remainder when o(4) is divided by z?
28
Suppose -q = 4*q - 20. Suppose -q*h = 5*d - 0*d - 250, 5*h = 3*d - 150. Let g(f) = -f + 17. Calculate the remainder when d is divided by g(0).
16
Let s(z) = 32 + z + 28 - 55. What is the remainder when 16 is divided by s(-2)?
1
Suppose 20 = 6*u - 4. Let m(x) = 10*x - 1. What is the remainder when 115 is divided by m(u)?
37
What is the remainder when 262 is divided by (-14 - -17) + ((-3)/(-1) - -29)?
17
Suppose 91 = 4*z + 35. Suppose 172 = 5*w + 57. Calculate the remainder when w is divided by z.
9
Suppose 51 = 3*y - 5*w, 20*y - 16*y + 2*w - 94 = 0. What is the remainder when 109 is divided by y?
21
Let y = -328 - -362. What is the remainder when y is divided by 20?
14
Let s = 38 - 26. Suppose 0 = -14*w + 767 - 109. What is the remainder when w is divided by s?
11
Suppose 6*b - 239 = 163. Calculate the remainder when b is divided by 13.
2
Suppose 5*i - 119 = 11. Let x be (25/5 - -2) + 1. Let w(k) = -k**3 + 11*k**2 - 11*k - 3. Calculate the remainder when w(x) is divided by i.
23
Suppose 748*l + 378 = 754*l. What is the remainder when 179 is divided by l?
53
Suppose 155 + 37 = 3*c. Let y = c + -52. Calculate the remainder when 34 is divided by y.
10
Suppose 0 = -14*i + 5*i + 36. Let t be i/(-6)*27/(-18). What is the remainder when 44 - (-3 - -3)/t is divided by 23?
21
Suppose -2*o + 2*u = 4*u - 16, 4*u = 2*o + 14. Suppose -59 + o = -2*b. Calculate the remainder when b is divided by (-2)/(-1 - 4/(-5)).
8
Suppose -149 = -n - z, z + 0*z - 733 = -5*n. What is the remainder when 273 is divided by n?
127
Let u(b) = -3*b + 1. Let i be u(-1). Suppose 0*y = -i*y + 5*q - 44, -55 = 5*y - 3*q. What is the remainder when (-3 + 2)*3*y is divided by 7?
5
Calculate the remainder when -63*-2*(-50)/(-60) is divided by 28.
21
Let k(s) = s**3 + 16*s**2 + 16*s + 19. Let y be k(-15). Suppose 0 = -7*t + y*t + 36. What is the remainder when 45 is divided by t?
9
Let l(g) = -g**3 - 5*g**2 + 9*g + 2. Let q(z) = z**2 + 6*z - 13. What is the remainder when l(-7) is divided by q(-9)?
9
Suppose -53 = -5*i + 17. Let h(u) = -u - 4. Let c be h(-7). Suppose -c*p = p - 32. Calculate the remainder when i is divided by p.
6
Let p(c) = -15*c**2 + c + 2. Let u be p(-1). Let s(m) = m + 54. What is the remainder when s(u) is divided by 11?
7
Suppose 2*k - 25 = -3*k. Calculate the remainder when ((-26)/(-3))/(34/51) is divided by k.
3
Suppose 47 = 2*o - 4*u + 15, -2*u - 40 = -2*o. Let x = 40 - o. Let h(r) = 10*r**2 - 1. What is the remainder when x is divided by h(-1)?
7
Let o(r) = r**3 + 3*r**2 + 3*r + 5. Let t be o(-2). Suppose 2*s + 5*f - 165 = -0*s, t*f + 300 = 3*s. What is the remainder when s is divided by 33?
29
Let x(c) = c**3 - 5*c**2 + 6*c - 1. Calculate the remainder when 290/9 - (-6)/(-27) is divided by x(4).
4
Let t = 32 - 33. Calculate the remainder when 1/t + (14 - -1) is divided by 9.
5
Let w = 81 - 32. Let p = w - 33. Let f = -81 + 144. Calculate the remainder when f is divided by p.
15
What is the remainder when 97 is divided by (-45)/(3 + -12) + 18?
5
Suppose 3*y - 16 = -2*o, 0*y + 5*y - 16 = 2*o. Suppose o*a - 81 + 63 = 0. Calculate the remainder when 32 is divided by a.
5
Let s = -38 + 40. Calculate the remainder when 56 is divided by s.
0
Let h(b) = -b**3 + 3*b - 3. Suppose -8*y + 10*y - 186 = 0. Suppose -5*m = -5*w - 195, 2*m + 0*w - y = -3*w. What is the remainder when m is divided by h(-3)?
12
Suppose -2*g = -5*f + 96, g - 6*g + 75 = 5*f. Let q be (-73 + 3)*-3 - 0. Suppose s = -2*s + q. What is the remainder when s is divided by f?
16
Let m(p) = p**3 + 17*p**2 + 15*p + 3. Let x(v) = 6*v - 14. What is the remainder when m(-16) is divided by x(3)?
3
Calculate the remainder when 87 is divided by (-495)/(-33) - (0 - -9).
3
Suppose -5*w + 193 = 4*c, -4*w + 5*c = c - 140. Suppose -31 = -4*r + w. Calculate the remainder when 27 is divided by r.
10
Let l(n) = 2*n + 18. Let o = -5 - -13. Calculate the remainder when l(o) is divided by 7.
6
Let w(d) be the second derivative of -d**4/6 - 7*d**3/2 - 3*d**2 + 23*d. What is the remainder when w(-10) is divided by 2?
0
Calculate the remainder when 51 is divided by ((-8)/(-8))/(3/33).
7
Suppose -66*d = -262*d + 124*d + 13680. What is the remainder when d is divided by ((-32)/(-5))/(1/5)?
30
Let j = 0 + 0. Suppose j = -5*v - 0*v + 25. What is the remainder when ((-2)/(-14) + (-1210)/385)*(-299)/69 is divided by v?
3
Let z = -726 - -738. Calculate the remainder when 45 is divided by z.
9
Let k(z) = -z**2 + 3*z + 6. Let j(n) = -2*n**2 + 5*n - 2. Let x be j(2). What is the remainder when 16 is divided by k(x)?
4
Let y be 4/(-18) + 7/((-315)/(-100)). Suppose -4*x + 2 = 2*a - 6*x, -y*x = 2*a - 18. What is the remainder when a is divided by 4?
1
Let k(v) = -v**3 - v**2 - v + 8. Let m be k(0). Let s = m - 5. Let x = -2225 + 2227. What is the remainder when s is divided by x?
1
Let f = -156 - -266. Calculate the remainder when f is divided by 29.
23
Suppose -5*a = r + 10, -3 = -4*a - 15. Suppose -25 = -r*o - 5. What is the remainder when o is divided by 3?
1
Let c(t) = 2*t + 17. Calculate the remainder when 266 is divided by c(25).
65
Let x = 8 + -5. Suppose -112 = -x*c - c. Suppose 2*h - b + c = 89, 3*h - 104 = -b. Calculate the remainder when h is divided by 18.
15
Let i(h) = -h**3 - 10*h**2 - 8*h - 19. Let l be i(-10). Suppose 0 = -4*m - 4*a + 136, -m - 5*a - 15 + l = 0. Calculate the remainder when m is divided by 16.
15
Let m = -102 - -397. Let l = 415 - m. Suppose 22 = 2*q - l. Calculate the remainder when q is divided by 24.
23
Suppose 0 = y + 4, -4*y - 20 = -3*h + 77. Calculate the remainder when h is divided by 17.
10
Let n = 34 - 26. Calculate the remainder when 71 is divided by n.
7
Let a = -89 - -129. What is the remainder when 145 is divided by a?
25
Let z(f) = -f**3 - f**2. Let n(y) = 4*y**3 + 11*y**2 + 11*y - 7. Let w(m) = n(m) + 5*z(m). What is the remainder when 41 is divided