se 0 = -p*b + 11*b - 402. What is the remainder when b is divided by 27?
26
What is the remainder when 9368 is divided by 30/(-10)*(25/(-3) + 1)?
18
Let v(r) = r**3 - r**2 - 7*r + 7. Let j be v(5). Let a = 276 - 311. Let i = j - a. Calculate the remainder when i is divided by 22.
19
Let k(o) be the third derivative of o**6/120 + 2*o**5/5 + 7*o**4/8 - 5*o**3 + 9*o**2. Let h = 50 - 73. What is the remainder when 25 is divided by k(h)?
9
Suppose 126*t - 130*t + 80 = 0. Calculate the remainder when 55 is divided by t.
15
Suppose -d - 20 = -2*d - 4*t, -t + 62 = 5*d. Suppose -4403 = -d*n + 1981. What is the remainder when n is divided by 41?
40
Let l(j) = 19 + 13*j**2 - 6*j**3 - 3*j**3 + 16*j + 9*j**3 - j**3. Let r be l(14). Let q = r - 35. What is the remainder when 69 is divided by q?
9
Let x(s) = s - 19. Let u be x(-5). Calculate the remainder when u/90*-25*144/10 is divided by 14.
12
Suppose 17*f + 41 = 3*n + 21*f, -n + 1 = -5*f. What is the remainder when 364 is divided by n?
1
Suppose 2*f - 2047 = -87*f. Calculate the remainder when 693 is divided by f.
3
Suppose -225 = q + 4*q. Suppose 0 = -308*r + 300*r + 464. Let c = r + q. What is the remainder when 35 is divided by c?
9
Let b = -24 - -32. Suppose -n + 1 = -x, b = -6*x + 2*x. Calculate the remainder when 34 is divided by ((-6)/(-12))/(n/(-38)).
15
Let x(w) be the second derivative of w**4/12 - w**3/3 - 3*w**2 - 22*w. Let i be x(-2). Suppose i*q = -3*q + 30. Calculate the remainder when 23 is divided by q.
5
Suppose -4*p + 335 = 5*y, 12*y - 9*y = -4*p + 337. Suppose 12*k - 1261 = -p. Calculate the remainder when k is divided by 10.
8
Let r be ((-15)/(-5) - 2)*4. Suppose r*y + y + 4*i - 46 = 0, 4*y + i = 39. Let f = -2 + y. Calculate the remainder when 47 is divided by f.
7
Let n be 104 + ((-6)/15)/((-2)/(-20)). Let t = n + -71. Calculate the remainder when 85 is divided by t.
27
Suppose 144 = -v - v - 2*a, 5*v + 3*a + 354 = 0. Let t = -106 - v. Let k = t + 51. Calculate the remainder when 54 is divided by k.
12
Let r = 2 + -211. Let t = -136 - r. What is the remainder when t is divided by 15?
13
Let m = 11635 - 10384. Calculate the remainder when m is divided by 74.
67
Suppose 27*o + 104320 = 43*o. Suppose 0 = 15*q - 5*q - o. Calculate the remainder when q is divided by 16.
12
Let q(k) = -325*k - 1. Let t be q(-1). Suppose -n - 2*n = -t. What is the remainder when n is divided by 18/(-1)*(-518)/333?
24
Let h = 3202 + -2908. Calculate the remainder when h is divided by 135.
24
Suppose -81*u + 1416 = -73*u. Calculate the remainder when 542 is divided by u.
11
Suppose -z - 6 = -4*z. Let x(a) = -2*a**z - 10 + 6*a**2 + 2*a**3 - a**3 - 11*a. What is the remainder when 38 is divided by x(-5)?
18
Suppose 0 = 2*g + 365 - 23. Let c = g + 186. Let o = 47 - -190. What is the remainder when o is divided by c?
12
Let y = -78 + 86. Let t(k) = -32*k + 262. Calculate the remainder when 11 is divided by t(y).
5
Let j = 12582 - 12411. What is the remainder when j is divided by 69?
33
Let x(b) = 4*b**2 + 401*b + 2763. Calculate the remainder when x(-7) is divided by 64.
24
Let l(f) = -1845*f + 57. Calculate the remainder when 482 is divided by l(0).
26
Let k be (-1)/((-102)/33 + 3). Let b = -7 + k. What is the remainder when 6/((4 + -10)/(-42)) is divided by b?
2
Suppose -449 - 106 = -5*x. Let y = x + -104. What is the remainder when 73 is divided by y?
3
Suppose 0 = -14*o - 43 + 2157. Let d = o + -62. What is the remainder when d is divided by (-1)/(-4) + (-123)/(-4)?
27
Suppose 2*l = 5*k - l - 624, -5*l = -k + 116. Suppose -175 - 340 = -5*b. Calculate the remainder when b is divided by ((-6)/(-18))/(2/k).
19
Let u be 54/30*(-20)/8*-6. Suppose 258 = 33*h - u*h. What is the remainder when 168 is divided by h?
39
Suppose 3*a = 2*q + 105, 2*q + 0 = 5*a - 95. Suppose 0 = -4*y + 28, -3*y = -o - 129 + 29. Let x = q - o. Calculate the remainder when x is divided by 5.
4
Suppose 2*b - 32 + 2 = 0. Suppose -2*k + 5*n = -b, -4*n = 2*k - 5*n - 11. Suppose 2958 = 587*q - 505 - 7103. What is the remainder when q is divided by k?
3
Suppose 4*z - 61 = -t + 225, 0 = 3*z - 4*t - 186. Calculate the remainder when 1744 is divided by z.
64
Calculate the remainder when 191 is divided by ((-16)/(-48))/((-4)/(-144)) + 3 + -11.
3
Suppose -o - 3*o - 5*l = -188, 4*o = 3*l + 156. What is the remainder when 587 is divided by o?
41
Let n(w) = -3*w. Let m = 645 - 455. Suppose -2*v = -7*v + m. What is the remainder when v is divided by n(-5)?
8
Suppose 38*v = 37*v + 24. Suppose -v*i + 495 = -19*i. Calculate the remainder when i is divided by 30.
9
Suppose -4*q + 48 = 16, -2*n = 13*q - 154. What is the remainder when 3464 is divided by n?
14
Suppose 5 - 1 = -b, 4*f + 264 = 3*b. Let d = -66 - f. Let s(q) = -2*q - 2. Calculate the remainder when s(-3) is divided by d.
1
Let t = 331 - 328. Suppose 4*f + 2*c - 288 = 8, -t*c = -3*f + 222. What is the remainder when 293 is divided by f?
71
Suppose 2*r + 1556 = 5*i, -9*r - 939 = -3*i - 6*r. What is the remainder when i is divided by 7?
2
Suppose 10 = -2*u + 4*w, w - 9 = 4*w. Suppose 0 = -k + 5 - 3. Calculate the remainder when 4 - (u + (3 - k)) is divided by 8.
6
Suppose -420 = -37*w + 2*w. Let z(k) = k**2 - 9*k + 32. Calculate the remainder when 203 is divided by z(w).
67
What is the remainder when (-2)/44 - (-10776278)/2332 is divided by 23?
21
Let y = 2684 + -2682. Calculate the remainder when 10 is divided by y.
0
Suppose -2*a - 72 = d + 3*a, 0 = 5*d - a + 490. Let u = d - -121. Calculate the remainder when 113 is divided by u.
17
Suppose 20*p - 4998 = -13*p - 9*p. What is the remainder when 11542 is divided by p?
118
Let w = 3 + -2. Suppose -28*q - 141 = -589. Suppose -7*s = 9*s - q. What is the remainder when s is divided by w?
0
Let v(z) = -10*z + 43. Suppose 0 = 2*d + 6, -2*p - 39 = p - d. What is the remainder when v(p) is divided by 8?
7
Let d(l) = 3*l**2 - 253*l - 756. Calculate the remainder when 176 is divided by d(-3).
26
Suppose -5552 = -3*b - b - 4*y, 0 = -4*b + 4*y + 5536. Let x = 8 - 6. Suppose -x*g = 7*g - b. Calculate the remainder when g is divided by 39.
37
Let d be (-52)/(-5) - 18/45. Suppose d*s = 9*s + 65. Suppose -5*k - 5 = -i + 6, k = -4*i + s. Calculate the remainder when 45 is divided by i.
13
Suppose -2*s = 4*j - 8, -13*s - 3*j - 8 = -15*s. What is the remainder when 287 is divided by (-6)/(s*2/(-24))?
17
Suppose 3*h = 10*h, x + 2*h - 23 = 0. What is the remainder when 175 is divided by x?
14
Suppose 58 = 5*t + 4*v - 1262, -t - v + 264 = 0. Let r = 273 - t. Calculate the remainder when 13 is divided by r.
4
Let c(t) = t**2 - 29*t - 1353. Calculate the remainder when 304 is divided by c(-26).
73
Let g(a) = -a**3 - 4*a - 35. Calculate the remainder when g(-3) is divided by 1.
0
Let v be (-1060)/(-130) + 0 + (-4)/26. Suppose -11*g = -v*g - 180. Let p(j) = -17*j - 1. What is the remainder when g is divided by p(-1)?
12
Calculate the remainder when (-22)/(-66) - (2 + (-692)/(-24)*-56) is divided by 33.
29
Let c(n) = 85*n**3 + 13*n**2 - 26*n + 10. What is the remainder when c(2) is divided by 9?
6
Let b(y) = -163*y - 10697. Calculate the remainder when b(-114) is divided by 41.
13
Let i(h) = 155*h - 1076. Calculate the remainder when 1483 is divided by i(7).
7
Let m = -16153 - -16166. Let u = 585 - 378. Calculate the remainder when u is divided by m.
12
Suppose 0 = 68*h - 66*h - m - 256, -5*m = 2*h - 244. What is the remainder when 492 is divided by h?
111
Suppose -8*k + 60 = -3*k. Let m be 28/21*27/k. Suppose 7 = 4*j - m*j. What is the remainder when j is divided by 5?
2
What is the remainder when 256 is divided by 2/((-1)/8 - 322/(-2128))?
28
Let i = -11818 + 11870. What is the remainder when 15129 is divided by i?
49
Suppose 1873 = 5*d + 3*u, 3*d + 736 = 5*u + 1853. Calculate the remainder when d is divided by 55.
44
Let i = 56 - 32. Suppose -i*d = -25*d + 28. Suppose 0 = 3*j - 8*j + 50. Calculate the remainder when d is divided by j.
8
Suppose 4*r + 8 = 0, m + 4*m + r - 288 = 0. What is the remainder when m is divided by (-4)/(-2) - (106 - 107)/((-2)/(-14))?
4
Let c(s) = s**2 + 9*s + 36. Let t = -515 - -507. What is the remainder when c(t) is divided by 14?
0
Let q be 4*10/(-24)*3. Let z(j) = j**3 + 6*j**2 + 5*j. Let f be z(q). Suppose f*i - 651 = -7*i. Calculate th