 - -897. What is the remainder when o(-6) is divided by x?
23
Suppose -142*f + 18139 = -605. What is the remainder when 1976 is divided by f?
128
Let r = -5632 + 5701. What is the remainder when 834 is divided by r?
6
Suppose 0 = h + 5*n - 262, -3*n - 94 = 3*h - 820. What is the remainder when 1165 is divided by h?
217
Suppose 18*k = 62*k - 2772. What is the remainder when k is divided by 44?
19
Let z(l) = 55*l**3 + 7*l**2 - 320*l + 1249. Calculate the remainder when z(4) is divided by 35.
31
Suppose -709*x + 265 + 87 = -698*x. What is the remainder when 179 is divided by x?
19
Let c = 1 + 31. Suppose -13*j + 10899 = -4675. Suppose 0 = 27*t - 4519 + j. Calculate the remainder when t is divided by c.
27
Let i = -7560 - -10744. What is the remainder when i is divided by 65?
64
Suppose -346*v + 145169 + 47662 = -251433. What is the remainder when 3856 is divided by v?
4
Let m = -237 + 348. Suppose 2*w - 3344 = 3*c, -2*c + 11*w - 2208 = 15*w. Let s = c - -1131. What is the remainder when m is divided by s?
16
Suppose -25*c + 5265 = 11*c + 9*c. What is the remainder when 5496 is divided by c?
114
Let o(u) = -24782*u**2 + 24785*u**2 - 3*u + 25 + 17*u. What is the remainder when 20 is divided by o(-2)?
2
Let d(w) = 12*w + 1458. What is the remainder when d(-57) is divided by 39?
33
Let r = 757 + -752. Let n(f) = -f**3 + 7*f**2 - 6*f - 13. What is the remainder when 23 is divided by n(r)?
2
Let x = -63 + 67. Suppose 23*n - 26*n + 231 = x*d, -45 = -d - 5*n. Calculate the remainder when d is divided by 9.
6
Let s = 153 + -129. Let k be 5 + 0 + -4 - s. Let i = k - -211. What is the remainder when i is divided by 21?
20
Let k(s) = -48*s - 249. Let f be k(-43). Suppose 0 = -6*i - 27*i + f. What is the remainder when 325 is divided by i?
50
Let o = 19 + -25. Let m = 43 - o. Suppose 0 = 48*z - m*z + 63. What is the remainder when z is divided by 8?
7
Let d = 3543 - 3488. What is the remainder when 61 is divided by d?
6
Suppose 3586 = 7*g + 926. Calculate the remainder when 31 is divided by (-169)/(-10) + 38/g.
14
Let b be (40/15)/(4/(-6)). Let j = b - -9. Calculate the remainder when (-888)/(-120) + ((-2)/5)/1 is divided by j.
2
Let f(v) = 19*v - 118. Let y be 30/(-75)*((-243)/6 + -2). What is the remainder when f(y) is divided by 13?
10
Let q = -704 + 721. Calculate the remainder when 1442 is divided by q.
14
Let n(i) = -2*i**2 - 25*i. Let r be n(-16). Let m = 158 + r. Calculate the remainder when m is divided by 16.
14
Suppose 5*b = 158 + 17. Let v = 1689 + -1673. What is the remainder when b is divided by v?
3
Suppose f + 2*v + 36 = 3*f, 45 = 2*f - 5*v. Suppose -f = -c - 6. Let d(a) = a - 3. Calculate the remainder when 28 is divided by d(c).
4
Let v(p) = -12*p - 9. Let t be v(-2). Suppose -t*q = -9*q - 1260. Calculate the remainder when q is divided by 65.
15
Suppose -2*b + 31*d - 29*d = -26, 3*b - 38 = 2*d. Let t be (-263)/(-9) + 2/(-9). Let m = 2 + t. Calculate the remainder when m is divided by b.
7
Let l be 1029 - 3 - (1 + -9)/(-2). Let m = l - 266. Suppose -14*o + m = -2*o. Calculate the remainder when o is divided by 11.
8
Let w(a) = -a**3 - 9*a**2 - 16*a - 8. Let c = 45 + -52. What is the remainder when (-25)/2*4/(-5) is divided by w(c)?
4
Let j be 4/(-8)*0 + (-2 - -3). Let w be 0 - j - 9/3 - -2. Calculate the remainder when 121 is divided by 1/(-2)*-1 - 61/w.
28
Suppose 0 = -2*v + 3*x + 192 + 104, -718 = -5*v + 2*x. Calculate the remainder when 179 is divided by v.
37
Suppose -6256 = -150*n + 134*n. What is the remainder when 1190 is divided by n?
17
Suppose -11*v - 22*v = -12167 - 18325. Calculate the remainder when v is divided by 30.
24
Let w(r) = r**3 + 61*r**2 - 10*r - 143. Calculate the remainder when w(-61) is divided by 86.
37
Suppose -12179*y - 200 = -12184*y. Calculate the remainder when 508 is divided by y.
28
Let x = -107 + 123. Let f be (30/(-12))/((-3)/6). Suppose -f*i + 4*i + 63 = 0. Calculate the remainder when i is divided by x.
15
Suppose 0 = 3*k - k - 24. Let u(a) = 1872 + a**2 - 15*a + 0*a**2 + 5*a - 1887. Calculate the remainder when u(k) is divided by 3.
0
Let r = 60 + -36. Suppose -3*k + 6 = -4*q + 9, -4*q = 2*k - 18. Suppose -q*m + 439 = 337. What is the remainder when m is divided by r?
10
Suppose -2*c - 2 = -3*u, 4*u - 14 = -4*c + u. Let f be (144/30)/(c/5). Suppose -f = -46*l + 43*l. What is the remainder when 8 is divided by l?
0
Let i(g) = 4*g - 45. Let r(t) = t**2 + 15*t - 25. Let l be r(-17). Let f be 70/4 - -1 - l/6. Calculate the remainder when i(f) is divided by 9.
5
Suppose 18*f - 3 = 17*f. Suppose f*d - 5*p + 0*p - 28 = 0, 4*d - 2*p = 56. What is the remainder when 93 is divided by d?
13
Suppose -2*d = 2*i - 340, 6 + 9 = -3*i. Calculate the remainder when d is divided by 53.
16
Let q(s) = -808*s**3 - 5*s**2 - 31*s - 27. What is the remainder when q(-1) is divided by 169?
131
Let h(p) = -p**2 + 49*p - 318. Suppose -82 + 22 = 3*b. Let y = b - -39. Calculate the remainder when y is divided by h(41).
9
Suppose 968 - 4276 = -19*q + 1043. Calculate the remainder when 692 is divided by q.
5
Suppose -x = -4*f - 8 - 32, 2*x = -4*f + 32. Suppose -1053*y = -1056*y + x. Calculate the remainder when 181 is divided by y.
5
Suppose -1619 - 2197 = -2*h. Suppose 0 = 31*f + 5*f - h. What is the remainder when f is divided by 11?
9
Suppose -15 = -3*b, -3*b + 71 = 3*j - 5*b. Calculate the remainder when 371 is divided by j.
20
Suppose 106 + 54 = 10*n. Calculate the remainder when 1176 is divided by n.
8
Let y(j) be the third derivative of 7*j**6/8 - j**5/20 + j**4/24 + j**3/6 - 15*j**2. What is the remainder when y(1) is divided by (10 - -21) + 2*-2?
23
Let v(t) = -t**3 - 91*t**2 + 94*t + 229. What is the remainder when 719 is divided by v(-92)?
44
Suppose 0 = 4*f - 7*d + 4*d + 2885, 5*f - d + 3620 = 0. Let w = -539 - f. Calculate the remainder when w is divided by 12.
6
Suppose 8 + 166 = -2*x + 4*j, 2*x + 164 = 2*j. Let z(v) = -19*v**3 - 3*v - 1. What is the remainder when z(-2) is divided by (x + -3)/((-4)/(-2) + -4)?
37
Suppose 13878*d - 2072 = 13874*d. Calculate the remainder when d is divided by 15.
8
Suppose -2*i - 2*d = -0*d - 630, -i = 3*d - 315. Let s = -281 + 313. Calculate the remainder when i is divided by s.
27
Let d be (-5259)/(-7) - 102/357. Let s = d - 376. What is the remainder when s is divided by 20?
15
Let s(k) = -2*k**2 - 19*k - 6. Let h be s(-9). Suppose 2*v - 105 = 5*m, 5*v + h*m - 246 = -m. Calculate the remainder when v is divided by 17.
16
Suppose -151 = -2*g + 5*t, -4*g + 287 = 3*t + 2*t. Calculate the remainder when 2260 is divided by g.
70
Suppose -2*w + 183 = 3*p + 86, 0 = -4*w + p + 229. What is the remainder when 990 is divided by w?
38
Let h = 74 + -113. Let g = 33 + h. What is the remainder when 44 is divided by g*3/(-9) + 13?
14
Let t(h) be the third derivative of h**5/60 - h**4/24 + 5*h**2. Let q be t(2). Suppose -q*l - 3 = -37. Calculate the remainder when l is divided by 2.
1
Suppose 37 = -n + 534. Suppose -61*h + 68*h = n. What is the remainder when h is divided by 26?
19
Let k = -119 + 278. What is the remainder when k is divided by 60?
39
Let i(w) = w**2 - 1. Let o(h) be the third derivative of -h**4/4 + h**3 + 37*h**2 + h. What is the remainder when o(-4) is divided by i(-3)?
6
Suppose 2*z = -2*z - 4*a + 48, 4*z = -2*a + 40. Let y(f) = -23*f + 194. What is the remainder when 44 is divided by y(z)?
4
Let b(s) = 8*s**3 - 51*s**2 + 14*s + 84. Calculate the remainder when b(7) is divided by 44.
31
Let q be 8/(-4)*454/2. Let o = q + 945. What is the remainder when o is divided by 38?
35
Let f(j) = -9*j + 35*j + 26 + 2*j**2 - 96. Calculate the remainder when f(-18) is divided by 16.
14
Suppose 79 = -9*w - 2. Calculate the remainder when 66 is divided by 39 + (-4 - (-10 - w)).
30
Let g = -13779 - -16378. Calculate the remainder when g is divided by 200.
199
Let g = 364 + -260. Let c = 208 - -27. Suppose 9*f = -46 + c. What is the remainder when g is divided by f?
20
Suppose -2 = -3*v - 11. Let s(x) = -223 + x**2 - 489*x + 492*x + 229. What is the remainder when s(v) is divided by 3?
0
Calculate the remainder when 2137 is divided by 269584/504 + 32/(-36).
1
Suppose 3*d - 5*d = -82. Calculate the remainder when d is divided by ((-280)/480 - (-8)/(-12))*-12.
11
Suppose -2*m + 3018 = -4*h, 23 = 