der when 72 is divided by z?
22
Suppose -4*y + 20 = 0, 2*i - y = 3*y + 78. What is the remainder when i is divided by (-4)/(-6) + 165/9?
11
Let b = 318 - 303. What is the remainder when 86 is divided by b?
11
Let s(n) be the second derivative of n**5/10 + n**4/12 - n**3/6 - n**2 - 26*n. What is the remainder when 27 is divided by s(2)?
11
Let x(i) = -5*i**3 - 129*i**2 + 25*i - 13. Calculate the remainder when 33 is divided by x(-26).
7
Suppose 0 = -4*p + 3 + 9. Let c be (3/2)/(p/4). Let j = 15 + c. Calculate the remainder when 32 is divided by j.
15
Suppose 0*m - 448 = -14*m. What is the remainder when 149 is divided by m?
21
Suppose 631 = 23*c - 588. Calculate the remainder when 633 is divided by c.
50
Suppose 2*x + 33 = 5*x. Let d be (56/(-6))/((-17)/51). Let i = d + 15. What is the remainder when i is divided by x?
10
Let h(x) = 5*x**3 + x**2 - 2*x - 1. Let a be h(2). Suppose 0 = -3*u + 18 + a. What is the remainder when (6 - -3)/3 + 56 + (9 - 12) is divided by u?
18
Let y(o) = -32*o. Let t be y(-1). Suppose 0 = -l + 5*g - 18, 5*l - 3*g + 68 = -44. Let d = t + l. What is the remainder when 15 is divided by d?
6
Let v = -389 - -415. What is the remainder when 99 is divided by v?
21
Calculate the remainder when (-25)/15*-102 + -2 + -1 is divided by 34.
31
Suppose 5*l + 9 = 74. Suppose 0 = 2*v + p + 1, p + 2 = v + 4. What is the remainder when 3 + 24 + (v - 2) is divided by l?
11
Let l = -97 - -76. Let z = l + 53. What is the remainder when z is divided by 12?
8
Suppose -37*m = -25*m - 2016. What is the remainder when m is divided by 57?
54
Let s = -73 - -138. Suppose 0 = -u + 7*u - 156. What is the remainder when s is divided by 1/2*-8 + u?
21
Suppose 0*d - 3*d = 0. Suppose -5*i + 15 = 0, d = x - 6*x + 3*i + 141. Calculate the remainder when (19/3)/((-3)/(-27)) is divided by x.
27
Let w be (2 + -3 + -1)/((-6)/(-153)). Let c = 81 + w. Calculate the remainder when c is divided by 11.
8
Suppose -207 = -11*r - 12*r. What is the remainder when 42 is divided by r?
6
Let v(z) = -z**2 + 10*z - 3. Let w be 5 - (-1 + (-2 - -3)). Let o be v(w). What is the remainder when o + 4/(16/(-12)) is divided by 10?
9
Suppose 0 = 2*v - 4*w + 60, 2*w - 84 = 4*v + 18. What is the remainder when (-34*1/(-4))/((-3)/v) is divided by 24?
20
Let b = 551 + -481. What is the remainder when 907 is divided by b?
67
Suppose -49*r = -8946 - 4872. What is the remainder when r is divided by 57?
54
Let t(w) = -w**2 + 3*w + 31. What is the remainder when 59 is divided by t(5)?
17
Let n be 1/(-2) + 126/(-4). What is the remainder when n/(-5)*(-30)/(-4) is divided by 17?
14
Suppose -31*q = -24*q - 91. Suppose 0 = -5*r + 9 + 11. What is the remainder when q is divided by r?
1
Suppose 5*q - 75 = -0*q. What is the remainder when 162 is divided by q?
12
Let g(z) = 6*z**2 + 4*z - 5. Let t be g(2). Suppose t + 63 = 3*m. What is the remainder when m is divided by 16?
14
Suppose s + 5*o = -13, 3*s + 0*s = 3*o + 33. Calculate the remainder when 14 is divided by s.
0
Let c(f) = -3*f + 138. What is the remainder when 461 is divided by c(35)?
32
Let o be (-168)/3 + -1 - (-7 - -10). What is the remainder when (o/(-40))/(1/14) is divided by 6?
3
What is the remainder when 275 is divided by (3*(-18)/15)/((-12)/40)?
11
Let z(a) = -24*a. Let v be (-1 + 3 + 0)/(-2). Let k be z(v). Suppose -2*n + k = n. What is the remainder when 22 is divided by n?
6
Let k(v) = -v - 4. Let z be k(-3). What is the remainder when 47 is divided by (0 + z)*-18 - 1?
13
Let a = 1070 + -748. What is the remainder when a is divided by 13?
10
Let g = -166 - -244. Let s(a) = 21*a**2 + 3*a + 2. Suppose -2 = 7*h + 5. Calculate the remainder when g is divided by s(h).
18
Suppose -5*u - 9 = d + 18, -45 = 5*u - 5*d. Let b(w) = -3*w - 5. Calculate the remainder when 50 is divided by b(u).
11
Suppose 3*a + 126 - 399 = 3*m, 5*a = -3*m + 463. Calculate the remainder when a is divided by 18/6 + 28*1.
30
Let c = 2491 - 2435. Calculate the remainder when 136 is divided by c.
24
Suppose -3*n + 2*n + 100 = 3*v, 3*v = -7*n + 610. Calculate the remainder when n is divided by 11.
8
Let y(l) = -l**3 - l + 27. Let f(m) = 0*m**3 + m**3 - 8*m**2 + 11*m**2. Let w be f(-3). What is the remainder when y(w) is divided by 14?
13
Let q(b) = b**2 - 6*b + 5. Calculate the remainder when ((-64)/72)/(4/(-18)) + 17 is divided by q(7).
9
Suppose u - 106 = -u. What is the remainder when u is divided by 235/20 + (-1)/(-4) + -1?
9
Let u(a) = 2*a**2 + 11*a + 24. What is the remainder when 393 is divided by u(-4)?
9
Suppose -2*a - 5*x + 98 = -35, -3*a + 222 = 3*x. What is the remainder when 393 is divided by a?
77
Let u(p) = -4*p + 56. Let i = 203 + -128. Calculate the remainder when i is divided by u(10).
11
Let t(s) = s**3 - 8*s**2 + 3*s + 29. Calculate the remainder when 114 is divided by t(8).
8
Suppose -140*a + 114 = -139*a. Let t be 1/((-3)/(-192)*-1). Let b = t + a. Calculate the remainder when b is divided by 17.
16
Suppose 245*s = 260*s - 300. What is the remainder when 421 is divided by s?
1
Calculate the remainder when 118 is divided by (272/12)/(10/15).
16
Let c = -99 + 148. Suppose -z + c = -0*z. What is the remainder when z is divided by 26?
23
Suppose 512*r = 509*r + 81. What is the remainder when 132 is divided by r?
24
Let f(y) = -4*y - 68. Let l = 121 + -145. Calculate the remainder when f(l) is divided by 10.
8
Let p(y) = -y**3 + 8*y**2 - 10*y + 19. What is the remainder when 158 is divided by p(6)?
3
Let f(k) = k**2 + 4*k + 2. Let w be f(-4). Suppose -22 = -w*v - 4. Calculate the remainder when v is divided by 3.
0
Let d(h) = 47*h - 1159. What is the remainder when 99 is divided by d(25)?
3
Let c be (3 + 328/(-16))*(-8)/14. What is the remainder when 89 is divided by -23*((-14)/c + 6/15)?
20
Let c = 3946 - 3923. Suppose -2*p - 24 = -4*f, -2*p + 6*p - 43 = -5*f. Calculate the remainder when c is divided by f.
2
Suppose 49 + 155 = 2*m. Suppose -3*k + 123 = -m. Calculate the remainder when k is divided by 19.
18
Suppose -5*h - 31 = -3*d, -5*d + 30 = -4*h - 0*h. Suppose -d*y - 4*n = -26, 4*y + 17 = -5*n + 75. What is the remainder when y is divided by 6?
5
Let u(s) = -s**3 + 3*s**2 + 5*s. What is the remainder when 29 is divided by u(-2)?
9
Let l = 366 - -34. Calculate the remainder when l is divided by 14.
8
Let o be (-1)/3 - -2*20/12. Suppose -o*a + 594 = -3*v, 3*v + 856 - 65 = 4*a. What is the remainder when a is divided by 50?
47
Suppose 2*v - 8 = -3*p, 5*v + 2*p = 2*v + 12. Let f(d) = 24*d**3 + 10*d - 4 + 5*d**2 - 23*d**3 + v*d**2 + 2. What is the remainder when 101 is divided by f(-7)?
23
Suppose -3919 = 3*a - 3886. Let l = 18 - -6. Let w = l + a. What is the remainder when 51 is divided by w?
12
Suppose -1 = 4*s - 13, 0 = -4*j + 3*s + 583. Suppose -4*c + j = 3*y - 0*y, 0 = -3*y. What is the remainder when c is divided by 14?
9
Let l(t) = 9*t. Suppose 289 - 322 = -20*k + 1027. What is the remainder when k is divided by l(1)?
8
Suppose -24 + 94 = 5*x. Suppose -5*f + 49 = x. Calculate the remainder when 13 is divided by f.
6
Let p(r) = -r**2 - 6*r + 2. Suppose 12 = -2*a + 8*a. Suppose -a*m = 4*m - 180. Calculate the remainder when m is divided by p(-3).
8
Suppose 16 = 4*z - 4. Calculate the remainder when 14 is divided by z.
4
Let j(l) = l**3 - 12*l**2 + 13*l - 1. Let h be j(11). Suppose u + 2*w = w + h, -73 = -3*u - 5*w. What is the remainder when 30 is divided by u?
14
Let r = -43 + 115. Suppose -3*d - d = -r. What is the remainder when d is divided by 3/(-9) + (-16)/(-3)?
3
Let z = 142 - 94. Let v = 54 - z. What is the remainder when v is divided by 4?
2
Suppose 62*c - 48*c = 14266. What is the remainder when c is divided by 31?
27
Let a(c) = -c**3 + 14*c**2 - 6*c - 12. Let n be a(13). What is the remainder when -3 + n/4 - 3/4 is divided by 6?
4
Suppose o - 700 = 5*o. Let p = -124 - o. Calculate the remainder when 254 is divided by p.
50
Suppose 39*b - 505 - 3317 = 0. Calculate the remainder when 184 is divided by b.
86
Suppose 0 = 10*v - 2*v + 376. Let w = v - -59. What is the remainder when 58 is divided by w?
10
Suppose -2*n + 6 = n, 0 = 3*w + n - 110. What is the remainder when 6/270*6 - (-15)/((-1575)/(-7336)) is divided by w?
34
Let k = 93 - -19. Suppose -3*h + l + 376 = 0, -2*h - 3*l - k = -3*h. What is the remainder when h is di