y 27.
18
Suppose 2*r + 30 = 3*r. Let l(m) = 5*m**2 + 6*m. Let s(x) = -4*x**2 - 6*x. Let c(p) = -3*l(p) - 4*s(p). Calculate the remainder when r is divided by c(-8).
14
Suppose x = 6*x - 40. Suppose -2*c - 5*u = -c + 10, 5*c + 5*u = 30. What is the remainder when c is divided by x?
2
Let v(p) be the third derivative of -1/2*p**3 + 0 - 4*p**2 + 0*p - 1/8*p**4 + 1/60*p**5. Calculate the remainder when v(-2) is divided by 3.
1
Let p = -563 + 632. Calculate the remainder when 132 is divided by p.
63
Let a be (40/6)/(1/6). Let y = a - -1. Suppose 3*n = 4*b + 38, 0*n + b = 3*n - y. What is the remainder when n is divided by 8?
6
Suppose n - 2*n + 3*o = 10, 0 = 2*n - o. Suppose 5*p + n = -4*k + 88, 3*p + 5*k = 62. What is the remainder when 54 is divided by p?
12
Let l(o) = o**2 + 13*o + 13. Let c be l(-12). What is the remainder when ((-62)/(-5))/((-2)/(-10)) is divided by (2/(-6)*-1)/(c/63)?
20
Let g(v) = -v**3 + 4. Let m be g(3). Let d = m + 34. What is the remainder when 4*(14 - 4) + 2 is divided by d?
9
Let t(i) = -78*i - 18. What is the remainder when 134 is divided by t(-1)?
14
Let i(l) = l**3 + 7*l**2 + l - 20. Let q(n) = -2*n**2 + 41*n - 26. Let k be q(20). What is the remainder when 47 is divided by i(k)?
7
Suppose g - 4*r = 181, -2*r + r + 809 = 4*g. Suppose -23*v = -20*v - g. Calculate the remainder when v is divided by 23.
21
Suppose -y - 4 = -3*y, 0 = 2*d - 4*y - 20. Calculate the remainder when d is divided by 1/(-8)*-29 - (-3)/8.
2
Calculate the remainder when 4/(-10) + 6340/100 is divided by 22.
19
Let c = 92 + 33. Suppose -3*w = 2*w + 5*u - c, w - u - 23 = 0. Calculate the remainder when 94 is divided by w.
22
Suppose -195 = -6*i + 141. Suppose 0 = 3*b + 5*v - i, -4*b + 5*v + 73 = 10. What is the remainder when 66 is divided by b?
15
Let k(n) = -13*n - 5. Let r be k(-3). Let f = r + -14. Let i(u) = 40*u**2 - 2*u + 1. Calculate the remainder when i(1) is divided by f.
19
Let w(y) = -y + 5. Let u be w(-6). Let m = 29 - u. Calculate the remainder when m is divided by 5.
3
Suppose 5*k = 7*k - 32. Suppose -3*y - k = -229. What is the remainder when y is divided by 20?
11
Let l = -73 - -55. What is the remainder when 33 is divided by 55/3 - ((-12)/l)/2?
15
Suppose -16*i + 14*i + 128 = 0. What is the remainder when i is divided by 6?
4
Calculate the remainder when -15 - (-56907)/18 - 6/4 is divided by 26.
25
Suppose -5*h + 570 = 2*m + 3*m, 0 = -5*m + 3*h + 554. What is the remainder when m is divided by 38?
36
Let p(l) = 175*l**2 - 5*l + 13 - 174*l**2 + l. What is the remainder when 141 is divided by p(0)?
11
Suppose 0 = q + 4*c, 5*q - 3*c + 0 = 23. Suppose -5*t = r - 15, 3*t - 9 = 2*r - r. Suppose -q*p + 285 - 21 = r. What is the remainder when p is divided by 17?
15
Let o = 81 - 30. What is the remainder when o is divided by 9?
6
Let g(v) = -v**2 - 33*v + 87. Calculate the remainder when g(-13) is divided by 29.
28
Suppose 5*i = -2*u + 113, -3*i + u + 29 = -41. Let x = i + -13. Let w = -6 - -24. Calculate the remainder when w is divided by x.
8
Suppose 4*n = -2*a + 28, a = 2*a - 4*n + 16. Suppose -3*u = -a*u + 11. What is the remainder when 120 is divided by u?
10
Let d(k) = -208*k + 23 + 20 + 226*k - k**2. What is the remainder when 42 is divided by d(19)?
18
Let r be 5/(-5) + (-1 - -21). Suppose 5*j = r + 21. Let n = 46 - 25. What is the remainder when n is divided by j?
5
Let o(k) = 18 - 6*k**2 - k**3 + k + 0*k**3 - 7*k**2. What is the remainder when o(-13) is divided by 14/4 + 1/(-2)?
2
Let n be 3*5/(-90) + (-74)/(-12). Suppose 51 = 2*m + m. Suppose -n*b + 7*b = m. What is the remainder when 50 is divided by b?
16
Let t(n) = -11*n - 437. Calculate the remainder when 202 is divided by t(-49).
100
Suppose -2*y + 33 = 3*g, 0 = 5*y - 0*y - 2*g - 35. Calculate the remainder when y/(-15) + 1848/30 is divided by 16.
13
Suppose 4*y + 0*d - 24 = 4*d, -4*d = -3*y + 13. What is the remainder when 91 is divided by y?
3
Let r = 686 + -678. Let s = 68 + -38. Calculate the remainder when s is divided by r.
6
Let i(v) = -25*v - 9. Let d be i(-4). Suppose -70 = -3*u + 2*c, -4*c - d = -2*u - 31. Calculate the remainder when 53 is divided by u.
13
Let m(g) = -57*g + 515. What is the remainder when 187 is divided by m(6)?
14
Suppose 74*l - 8900 - 9600 = 0. What is the remainder when l is divided by 34?
12
Let d(u) = -u + 2. Suppose -3 + 18 = 5*i. Let m be d(i). Let a = 14 - m. Calculate the remainder when a is divided by 9.
6
Suppose 4*v = -4*b + 112, 5*b = -4*v + 165 - 29. Let n = b - 22. What is the remainder when 14 is divided by n?
0
Let w(z) = -3*z**3 - 111*z**2 + 3*z + 136. What is the remainder when 47 is divided by w(-37)?
22
Let l(p) be the third derivative of -1/24*p**4 + 0 - 1/60*p**5 + 0*p + 8*p**2 - 5/24*p**6 - 1/6*p**3. Calculate the remainder when 92 is divided by l(-1).
20
Suppose -3*l + 772 = -m, -m - 1 = -0. What is the remainder when l is divided by 65?
62
Suppose w = 5, m - 1675 = -3*m - 3*w. What is the remainder when (m/20 - (-3)/(-4)) + 1 is divided by ((-80)/(-24))/((-4)/(-6))?
1
Let w = 43 + -37. Suppose -3*x + x + w = 0. Calculate the remainder when 12 is divided by x.
0
Let m = 0 + 0. Suppose 0 = o - 1, m = -3*f - o + 3*o + 22. Calculate the remainder when 20 is divided by f.
4
Suppose -k - 2*k = f + 21, 3*f - 2 = 4*k. What is the remainder when f/(-21) + 1/(21/918) is divided by 24?
20
Let g = 749 - 449. Suppose -g = 10*r - 15*r. Suppose 0 = 4*b - 3*b - 21. Calculate the remainder when r is divided by b.
18
Suppose -18 = -4*w + 2*w. What is the remainder when 4/(-14) + (-605)/(-35) is divided by w?
8
Let p(g) = g**3 + 7*g**2 - 40*g - 200. What is the remainder when 1197 is divided by p(-5)?
47
Let x = 464 - 434. What is the remainder when 208 is divided by x?
28
Let r(g) = g**3 + 23*g**2 + 15*g - 88. What is the remainder when r(-20) is divided by 12?
8
Let b = 313 - 292. What is the remainder when 144 is divided by b?
18
Let g be (0 - 3) + -20 + 26. Suppose c = -q - c + 19, 60 = 3*q + g*c. Calculate the remainder when q is divided by 4.
1
What is the remainder when (-3806)/(-110) + (-1 - (-14)/10) is divided by 4/(-34) + (-308)/(-17)?
17
Suppose 2*k - 5*y - 496 = 0, -2*k + 510 = -13*y + 15*y. What is the remainder when k is divided by 51?
49
Let n(f) = 2*f**2 - 13*f + 5. Calculate the remainder when 34 is divided by n(0).
4
Suppose 0*u + 4*u + 5*y = 3227, u = -5*y + 818. What is the remainder when u is divided by 31?
28
Suppose -4 + 94 = 6*k. What is the remainder when 73 is divided by k?
13
Suppose 26 + 10 = -4*l. Calculate the remainder when 3/l - (-142)/3 is divided by (-6)/(-4) - (-405)/18.
23
Suppose 3*r = -2*r + 85. Let y = r + -5. Let c(h) = -3*h - 13. Calculate the remainder when c(-12) is divided by y.
11
Let m = -6 - -12. Let j = -90 + 145. Suppose 4*s - 37 - j = 0. Calculate the remainder when s is divided by m.
5
Let s = -10 - -15. Suppose 11 + s = 2*m. Calculate the remainder when 15 is divided by m.
7
Let b(p) = 2*p**3 - 116*p**2 + 5*p - 265. Suppose c = -2*c - j + 216, 0 = -5*c - 2*j + 359. What is the remainder when c is divided by b(58)?
23
What is the remainder when (0/14 - 3)*3*-57 is divided by 23?
7
Let t = -427 + 450. Calculate the remainder when t is divided by 4.
3
Suppose k - 2 = 4*d + 50, 5*k = d + 203. Suppose k = -2*l + 7*l. Suppose -50 = -4*o - 2*c + 102, -4*c = l. Calculate the remainder when 75 is divided by o.
36
Suppose -3*o + 106 = -5*s, 3*o + 6*s - 3*s = 114. Calculate the remainder when 4*(12/(-16))/(3/(-146)) is divided by o.
35
Let r(p) = -9*p + 2. Let i be r(-4). Let x be ((-2)/(-4))/(1/i). Suppose 18 + x = s - a, -16 = -4*a. What is the remainder when s is divided by 15?
11
Suppose 0 = -3*d + 2*s + 167, 0 = 3*d + 3*s - 8*s - 179. Let x = -27 + d. Calculate the remainder when x is divided by 14.
12
Calculate the remainder when 355 is divided by 17/17*(114 - 0 - -1).
10
Suppose -c = -3*c + 42. What is the remainder when c is divided by (342/(-3))/(-6) + -11?
5
Suppose 32 = 7*n - 3*n. Let y be n/(-10)*(-20)/8. Suppose 2*f + 2*f = -y*k + 52, 4*f - 130 = -5*k. What is the remainder when k is divided by 14?
12
Suppose -6*p + 37 = -11. Suppose -11*y + p*y - 3*s = -3, y - 11 = 4*s. Calculate the remainder when 29 is divided by y.
2
Suppose 9*v = 47 + 43. Calculate the remainder when -3 + (