3. Calculate the remainder when l is divided by p.
29
Suppose -9 = -3*g + 6. Suppose -g*x - 17 = -h + 1, 2*h - 12 = -2*x. Suppose -h*c = -2*c - 48. Calculate the remainder when c is divided by 7.
1
Let y(r) = -r**3 - 16*r**2 + 15*r - 23. Let n be y(-17). Let v(p) = p**3 - 9*p**2 - 3*p + 14. What is the remainder when v(n) is divided by 15?
13
Let x = -60 + 109. Calculate the remainder when x is divided by (18/(-12))/(-4 + (-109)/(-28)).
7
Let r = 220 + -216. Suppose -r*s - 4*a + 976 = s, 978 = 5*s + 2*a. What is the remainder when s is divided by 33?
31
Let h(j) = j**2 - 3*j + 2. Let x be h(4). Let r be (-124)/(-6)*(-9)/x. Let a = r - -53. Calculate the remainder when a is divided by 12.
10
Suppose 0 = 5*h - c - 72, -3*h - 24 = c - 56. What is the remainder when 11828 is divided by h?
11
Let k = -3611 + 3626. What is the remainder when 1/4 - (-558)/8 is divided by k?
10
Let b(s) = -s**2 - 28*s - 157. Let z be b(-15). Suppose h = -5*r - 3, h + 25 = 3*r + z. What is the remainder when 501 is divided by h?
4
Let r = -30 + 28. Let p be 4 - 0/(r + 5). Suppose -4*w - 2*s - s = -82, p*s - 36 = -2*w. Calculate the remainder when w is divided by 6.
4
Let g = -488 + 504. Let j = -50 - -142. What is the remainder when j is divided by g?
12
Let o = 1486 + -942. Let k = -526 + o. Suppose -5*i + 0*i - 5*g = -270, -4*g = -16. What is the remainder when i is divided by k?
14
Let v = -37 + 57. Let o be -4*14/(-8) - 3. Suppose -o*x - 90 = -5*t + x, -5*t + 50 = 3*x. What is the remainder when v is divided by t?
7
Let f = -4147 + 4242. Let y(v) = v**3 - 4*v**2 - 10*v + 8. Suppose 2*k - 3*i + 0*i - 9 = 0, 3*i - 21 = -3*k. What is the remainder when f is divided by y(k)?
15
Suppose -3*l + 44 + 478 = 0. Let b = 108 - l. Let u = 92 + b. Calculate the remainder when u is divided by 9.
8
Let h(g) = -g**3 + 9*g**2 + 40*g - 195. Calculate the remainder when h(10) is divided by 36.
33
Suppose 0 = 2*m - 8*v + 4*v, 0 = 3*v. Suppose m*p + 3*u - 44 = -2*p, 0 = -u. Let q = 23 + 64. Calculate the remainder when q is divided by p.
21
Let o = -4 - -22. Let x be (-78)/(-6) + (1 - -2 - 6). Suppose 6*j + 212 = x*j + p, j - 5*p - 32 = 0. Calculate the remainder when j is divided by o.
16
Suppose -4*q + 78 = -12*h + 14*h, 5*q + 2*h - 99 = 0. Calculate the remainder when 545 is divided by q.
20
Let q(w) = 6*w**2 + 11*w - w**3 + 18 + 2*w**2 - 11. Let r be q(8). Let g = r + -71. Calculate the remainder when g is divided by 17.
7
Suppose -20 = -3*y + 58. Let h = 919 + -820. Suppose 16*o = 125 + h. Calculate the remainder when y is divided by o.
12
Suppose -5*i + 122 = -2*u, 4*i + 9*u - 10*u = 100. Suppose -9*g = i*g - 770. What is the remainder when g is divided by 16?
6
Suppose -150 - 186 = -6*i. What is the remainder when i is divided by (15/10 - 3)*(7 + -25)?
2
Calculate the remainder when 1212 is divided by (20/(-6))/1*(5 + 146/(-10)).
28
Let j(s) = 11*s - 94. Let x be j(9). Suppose 0 = 3*n + 5*q - 50, x*n - 5*q - 104 = -3*q. Calculate the remainder when 129 is divided by n.
9
Let v(n) = n**3 - 5*n**2 + 19*n - 79. Let r be v(10). Suppose -9*q - 5*j - r = -13*q, -2*q + 5*j = -293. What is the remainder when q is divided by 32?
31
Suppose -g - 10 = -2*g. Let u(j) = 2*j - 44. Let x be u(12). Let s = -3 - x. What is the remainder when s is divided by g?
7
Suppose -11*p + 20 = -6*p. Let r = -73 + 161. What is the remainder when r is divided by ((-27)/p)/(63/(-168))?
16
Let l = -29 + 59. Suppose 0 = l*o - 33*o + 42. Suppose -k + 18 + 25 = -3*h, -4*h + 36 = 2*k. Calculate the remainder when k is divided by o.
0
Let n(v) = 213*v + 4065. What is the remainder when 1385 is divided by n(-18)?
230
Let r(b) = -11*b**3 + 595*b**2 + 109*b - 19. What is the remainder when r(54) is divided by 169?
164
Suppose 3*p = -5*b - 1875, 8*p = 5*b + 4*p + 1910. Let q = 447 + b. What is the remainder when q is divided by 24?
21
Calculate the remainder when 103 is divided by (35 - 0 - -8) + 4.
9
Let i be 4 - 0 - 508/(-2). Suppose -5*u = -8*u + i. Suppose 0 = 4*m - 4*n - 60, 4*m + 6*n - 66 = 8*n. Calculate the remainder when u is divided by m.
14
Let h be 3 - -2 - -1 - 36/9. Suppose 4*r - 20 = -z - 196, -r + h*z = 44. Calculate the remainder when 122/3 - (r/(-12) + -4) is divided by 15.
11
Suppose 4*c = 5*r + 41, 3*r = -8*c + 3*c + 5. Suppose -3775 = -29*q + c*q. What is the remainder when q is divided by 26?
21
Suppose 0 = -2*k - 2, 16 = -4*r - 3*k + 17. What is the remainder when r/(-2)*-1 + (-993)/(-6) is divided by 57?
52
Let r(l) = -l**3 - 9*l**2 + 5*l - 10. Let f be r(-6). Let b = 66 + f. Let n = b + 101. What is the remainder when n is divided by 10?
9
Let x = 4 - 6. Let a be 12*(-5 + 27/18). Calculate the remainder when 33 is divided by (-385)/a - x/(-24)*2.
6
Let l(f) = -f**3 - f + 30. Let m = 911 + -523. Calculate the remainder when m is divided by l(0).
28
Suppose 3*w - 1889 = -2*x, 4*x = x + 12. What is the remainder when w is divided by (17/7)/((-36)/(-252))?
15
Suppose 0 = -63*q - 65*q + 2048. What is the remainder when 129 is divided by q?
1
Suppose -885*w + 894*w - 1188 = 0. Suppose -2*t + 41 + 13 = 0. Calculate the remainder when w is divided by t.
24
Let m = -10199 - -14093. Calculate the remainder when m is divided by 649.
0
Suppose -99*v = -102*v - 15. Suppose 5*k - 190 = -5*c - 0*c, 0 = -k - 4*c + 50. Calculate the remainder when 65 is divided by (3 - v/(-2))*k.
14
Let k(p) = p**2 + 5*p + 3. Let d be k(-6). Let g = d - 4. Suppose 32 = 2*m - g*v, 0*v - 80 = -5*m + v. What is the remainder when m is divided by 6?
4
Suppose -19*u - 235 = -2477. Calculate the remainder when 2003 is divided by u.
115
Calculate the remainder when 503 is divided by 1359/45 - 7/35.
23
Let t(x) = x**3 + 41*x**2 + 39*x - 38. Suppose -178 = 6*v + 62. What is the remainder when 25 is divided by t(v)?
1
Suppose -3*a - 3*b + 33 = -36, a - 15 = -5*b. Let f be (-291)/(-9) + 8/12. Suppose 4*m - 19 - f = 0. What is the remainder when a is divided by m?
12
Let n(l) be the second derivative of 1/3*l**3 + 0 + 7*l**2 - 16*l. What is the remainder when 10 is divided by n(-4)?
4
Suppose 92*h - 248 - 1592 = -23*h. Suppose 0 = -0*x + 3*x - 162. Calculate the remainder when x is divided by h.
6
Let g = 1332 + -1277. Calculate the remainder when g is divided by (-3)/(-2) + (-1007)/(-38).
27
Let f(c) = 4*c + 9 - 7 + 2 - c**2. What is the remainder when f(4) is divided by 4?
0
Suppose -52*h + 95050 = -8*h - 19*h. Calculate the remainder when h is divided by 318.
304
Suppose 122 = 2*m + p, -3*m + 0*m = 4*p - 188. What is the remainder when m is divided by 23?
14
Suppose 5*h - 3*h = 754. Calculate the remainder when h is divided by ((-81)/72)/(-3 + 165/56).
20
Let w be ((-10)/(-4))/(4/8). Suppose 0 = 12*f + 29 - 473. Calculate the remainder when f is divided by (-207)/(-15) - (-1)/w.
9
Suppose 2*f = 4*n - 36 - 8, 0 = 3*f + 6. Let g be (-1 + 11)*(-2 - 0). What is the remainder when -5*4/g*27 is divided by n?
7
Suppose 4*f - 2001 = 1387. Let h = f - 475. Suppose 5*z = -z + h. Calculate the remainder when z is divided by 7.
6
Suppose 5*l = c + 227, 11*l + 94 = 13*l - 2*c. Let v = -408 - -587. What is the remainder when v is divided by l?
44
Let u(k) be the third derivative of 11*k**4/24 - k**3/6 + k**2. Let h = -6352 - -6354. What is the remainder when 53 is divided by u(h)?
11
Let p = -299 + 478. Let a = -145 + p. Calculate the remainder when 128 is divided by a.
26
Suppose -504 = 2*q + 19*q. What is the remainder when 90 is divided by ((126/q)/(-7))/((-1)/(-28))?
6
Suppose -8*y + 2331 = 16*y - 21*y. What is the remainder when y is divided by 13?
10
Let c = 1461 + -1406. Calculate the remainder when 480 is divided by c.
40
Suppose 4*y + 48 = -5*g + 144, -4*g = -4*y - 48. Let u(a) = 2*a**3 + 12*a**2 + 2*a - 2. What is the remainder when u(-5) is divided by g?
6
Let g(m) = -m - 2. Suppose -3*q = 3*t - 18, -8 = -3*q + 4. Calculate the remainder when (-4)/(8/t) + 6 is divided by g(-5).
2
Let w(o) = -5*o**2 - 50*o + 90. What is the remainder when 3598 is divided by w(-10)?
88
Let m(f) = 3*f + 106. Suppose 10*l + 21 = 9*l. Suppose 3*d = -w + 72, -3*w = -9 - 0. What is the remainder when m(l) is divided by d?
20
Let f(r) = -r**3 - r**2 - 5*r - 4. Let b = -813 + 844. Calculate the remainder when f(-5) is divided by b.
28
Suppose 2*z = -3*o + 549,