. Let s be k(7). Let u = s + 94. What is the remainder when 110 is divided by u?
15
Suppose 10*k = 491 - 41. What is the remainder when 351 is divided by k?
36
Let a(b) = b**3 - 18*b**2 + 33*b + 70. What is the remainder when a(16) is divided by 15?
11
Suppose z - 28 = -4*t, 3*t - 48 = -5*z + 6*t. Let m = -198 + 193. What is the remainder when ((-6)/m)/(-3*5/(-400)) is divided by z?
8
Suppose 4*x = 3*t - 241, -3*t + 2*x + 212 + 39 = 0. Let z(k) = -k**2 + 8*k + 6. Let i = 20 - 14. What is the remainder when t is divided by z(i)?
15
Let l(q) = 2*q**2 + 12*q + 18. Let r be l(-6). Suppose -10*u + r*u - 424 = 0. Calculate the remainder when u is divided by 27.
26
Let z = -51 - -71. Suppose -4*u = z, 4*f - 5*u - 287 = 170. What is the remainder when f is divided by 22?
20
Let c be -2*(1/(-2) + -1). Suppose 50 = c*o - 1. Suppose -2*w + 5 = -w + 4*d, 5*w = 4*d + 49. What is the remainder when o is divided by w?
8
Let n(i) = i**2 - 3*i - 27. Let t be n(7). Calculate the remainder when (-2)/4 - (-69)/6 is divided by ((-18)/10 + t)/(24/(-60)).
1
Let g be -2 - -3 - (-2 - -3). Let p(b) = 2 - 5 + 4*b + g*b + 2*b**2. Calculate the remainder when 79 is divided by p(-5).
25
Let y(a) = -a**3 + 13*a**2 - 20*a + 7. Calculate the remainder when 324 is divided by y(3).
28
Calculate the remainder when (-52)/260 + (-882)/(-10) is divided by (4 + 0 - 5)/(2/(-38)).
12
Suppose -2*c + 188 = 4*g, -5*g + c + 234 = 3*c. Suppose 15 = -3*q, 0*m - 3*m + 2*q = -19. What is the remainder when g is divided by (-2 - 3)/(4/(-60)*m)?
21
Let l = 221 + -216. Calculate the remainder when 144 is divided by l.
4
Suppose -21 = -8*y + 363. Calculate the remainder when y is divided by 26.
22
Let q = -7 - -16. Suppose 2*c = 2, 0 = 2*z - 4*z - 3*c + 11. Suppose 32 = -2*t + z*t. Calculate the remainder when t is divided by q.
7
Let i = -823 + 880. Calculate the remainder when i is divided by 38.
19
Let l = -36 - -25. Let j(y) = y**2 + 12*y + 31. What is the remainder when 37 is divided by j(l)?
17
Suppose 0 = -3*a + 4*r + 8, -17 = -5*a - 4*r + 39. Calculate the remainder when (-57)/(((-297)/(-36))/(-11)) is divided by a.
4
Suppose 0 = -2*n - 5 + 3. What is the remainder when 41 is divided by n/(15/(-5))*45?
11
Suppose 4 = -4*p + 4*v + 32, -6 = -3*p - 2*v. Suppose 0 = b - 5. Calculate the remainder when b is divided by p.
1
Let h(b) = 588*b - 2338. Let t(n) = -3*n - 6. Calculate the remainder when h(4) is divided by t(-5).
5
Suppose 15*l = 558 - 453. Let u(d) = d**2 + d + 27. Calculate the remainder when u(0) is divided by l.
6
Let n = -19 + 27. Calculate the remainder when 91 is divided by n.
3
Let n be (3/2 - 1)*26/1. Suppose 5*u = 3*y + 118, -3*u + 2*y + n = -58. What is the remainder when u is divided by 13?
10
Let n(p) = -2*p**3 - 6*p + 3*p + p + p - 4*p**2 - 1. Let a be n(-3). Suppose -4*i = -2*o + 12, 4*o - o - a = 5*i. What is the remainder when 19 is divided by o?
9
Calculate the remainder when 17 is divided by 4/(-22) + 384/176 - -6.
1
Suppose 3*r = -4*g + 75, -5*r = -2*g - 3*g + 50. What is the remainder when g is divided by 9?
6
Suppose 0 = -2*h + 5 + 35. What is the remainder when 76 is divided by h?
16
Let h(v) be the second derivative of -7*v**3 - 2*v**2 + 4*v. What is the remainder when h(-2) is divided by 27?
26
Let l be -4 + 0 - (10 + -18). Suppose g - 12 = -3*n, -l*g + 3*n = -n. Suppose g*w - 54 = 117. Calculate the remainder when w is divided by 29.
28
Let h(g) = 10*g**2 + 4*g - 3. Let j be h(1). Calculate the remainder when 29 is divided by (-2)/j - 720/(-88).
5
Suppose 17 = -5*a + 2*f - 51, a - 3*f + 24 = 0. Let l = 32 + a. What is the remainder when l is divided by 13?
7
Let y be ((-2)/(-6))/(3/18). Suppose 0 = -0*d + y*d. Calculate the remainder when 10 is divided by (d + 3/(-6))*-6.
1
Suppose 210 + 2 = 4*d. Suppose 0 = -85*q - 65*q + 31650. Calculate the remainder when q is divided by d.
52
Calculate the remainder when 95 is divided by 4581/117 + 4/(-26) - 5.
27
What is the remainder when 25/(-15) - (-130)/6 is divided by 2/3*(-429)/(-26)?
9
Let z = 8 + -4. Let i = 4 - -4. Suppose -2*j = -4*c - c - 37, -3*j + i = 2*c. Calculate the remainder when j is divided by z.
2
Let m(x) = -2*x**3 + 19*x**2 + 14*x - 21. Calculate the remainder when m(10) is divided by 4.
3
Suppose j + 40 = -4*j. Let w be 62/j - 3/(-4). Let h = 21 + w. What is the remainder when 25 is divided by h?
11
Let a(k) = -2*k**2 + 36*k - 77. Calculate the remainder when 42 is divided by a(15).
3
Suppose -n + 62 = u, 0 = 2*u + n - 127 - 2. Let g = -25 + 35. What is the remainder when u is divided by g?
7
Let i = 2326 + -4198. Let m(u) = -u**3 - u**2 + u + 17. What is the remainder when i/(-60) - (-2)/(-10) is divided by m(0)?
14
Let h(m) = m**3 + 8*m**2 + 5*m - 11. Let r be h(-7). Suppose r*c = -4*d + 542, 0*d - 5*c - 421 = -3*d. What is the remainder when d is divided by 20?
17
Suppose -581 = -18*d + 607. Let v be (-2 - -4)/2 - -2. Suppose -5*j - 4*m + 68 = -25, -v*m - 45 = -3*j. Calculate the remainder when d is divided by j.
15
Let y(u) = -u + 1. Let t be ((-2)/6)/(1/(-9)). Let x be y(t). Calculate the remainder when 13 is divided by (x/(-3))/(12/90).
3
What is the remainder when 292 is divided by (-38)/95 - (-4176)/15?
14
Suppose 12*q = 8*q + 20. Suppose 5*l + 2*f - 6*f = 106, 0 = -q*f + 5. Calculate the remainder when 153 is divided by l.
21
Suppose -24 = -r - 2*i + 78, 3*i = 12. Suppose 0 = 4*a - 35 - 13. What is the remainder when r is divided by 3*95/a + 2/8?
22
Suppose 27*o - 351 = 18*o. Calculate the remainder when o is divided by 5.
4
Suppose -2*j - 346 = -3*d - 62, 0 = 2*d + 3*j - 172. Calculate the remainder when d is divided by 38.
16
Let p(n) = 2*n**2 + 21*n - 9. Let o(u) = u - 33. Let t be o(21). Let s = 33 + -18. Calculate the remainder when p(t) is divided by s.
12
Suppose 3*m = 2*c + 7 - 46, 0 = -3*c + 4*m + 61. What is the remainder when 213 is divided by c?
24
Suppose 4*j - 7 = -0*p + p, -4*j = -2*p + 6. Let o = p + -13. Suppose o = 2*a - 4*k - 46, 2*a + 2*k = 4 + 24. What is the remainder when a is divided by 6?
5
Suppose -2*x = 2*x + 20, 2*n + 13 = -5*x. Let s(i) = 3 + 5 + i**2 + 5*i - 4. Calculate the remainder when n is divided by s(-5).
2
Suppose -q + 172 = 3*q. Suppose -m - 4*i = -11 - 0, 5*m - 5*i - 105 = 0. Suppose 2*x - 3 = m. What is the remainder when q is divided by x?
10
Let m be (3/6)/(((-3)/(-4))/3). Suppose 0*p = -5*b - m*p + 32, 5*b = -p + 36. What is the remainder when 12 is divided by b?
4
Let n(r) = -10*r - 139. What is the remainder when 68 is divided by n(-18)?
27
Let o(b) = b + 12. Let d be o(-6). Suppose 3*f + 4*z = d - 28, -3*f - 2*z = 14. Calculate the remainder when ((-8)/20)/(f/230) is divided by 16.
14
Let r(l) = -4*l + 20. Let a be r(4). Suppose -a*z + 141 = 5*j, -7*j = -8*j + 3*z + 32. What is the remainder when j is divided by 15?
14
Suppose 40*r - 38*r - x = 41, -4*x = 2*r - 16. What is the remainder when 213 is divided by r?
15
Let h be (-150)/(-54) - 4/(-18). Suppose 132 = h*p - 129. What is the remainder when p is divided by 44?
43
Let l be (-12)/54 + (-263)/(-9). Let h = l - 23. Suppose 2*t = -3 + 7. What is the remainder when h is divided by t?
0
Calculate the remainder when ((-1396)/(-6))/(1/(-6)*-4) is divided by 70.
69
Calculate the remainder when (1647/(-36))/(3/(-8)) is divided by 61.
0
Suppose -2 = -2*i, 5*v - 4*i - 30 = -4. Let a(h) = 2*h + 7. Let n = -149 - -159. What is the remainder when a(n) is divided by v?
3
Suppose z + 4*h + 17 = 2*z, 3*h + 87 = 3*z. Let i = z - 16. Suppose x - f = i, 3*x + 2*f + 47 = 6*x. Calculate the remainder when 23 is divided by x.
10
Let u(q) = -q**2 - 9*q - 8. Suppose d = 5*c + 2*d + 34, 2*d + 26 = -3*c. Let l be u(c). Calculate the remainder when 6 is divided by (-1)/(-3) - l/(-6).
0
Let u(i) = i**2 + 5*i - 10. Suppose -65 = 4*v - 73. Suppose -9 - 6 = -m - 2*d, -4*m + 42 = v*d. Calculate the remainder when m is divided by u(-7).
1
Suppose 111 = 4*l - 69. Let s(a) be the second derivative of -a**3/3 - 2*a**2 + 11*a. What is the remainder when l is divided by s(-10)?
13
Let h(r) = -r**3 - 12*r**2 + 24*r + 148. Let i = -6 - -11. Suppose 47 = 3*x - 2*o, -2*o = i*x + 2*o - 115. What is the remainder when x is divided by h(-13)?
4
Let x(h) = -h**3 - 5*h**2 - 6*h - 3. Suppose 4*k + 3 = -13. Calculate the remainder