). Suppose l - 2 + 4 = 0, 21 = m - 3*l. What is the remainder when 7/28 + z/4 is divided by m?
13
Suppose 2*c - 7*c + 35 = 0. Let v(r) = -r**3 + 9*r**2 + 12*r - 24. Suppose -298 = -6*h + 26. What is the remainder when v(c) is divided by h?
50
Let n(r) = -r**3 + 36*r**2 - 239*r - 37. What is the remainder when n(16) is divided by 104?
11
Let a(r) = r**3 + 3. Let h be a(0). Suppose 0 = h*o - 9, q = -5*o + 24 + 36. Suppose -t + 20 = -q. Calculate the remainder when t is divided by 24.
17
Let p = -5 - -12. Let o = -24 - -44. Suppose -o = -0*b - 5*b. Calculate the remainder when p is divided by b.
3
Suppose 5*d + 395 = -315. Let i be (d/(-3))/((-8)/12). Let o = -33 - i. What is the remainder when o is divided by 14?
10
What is the remainder when 21/42 + (-178)/(-4) is divided by 3/(-9) - (-146)/6?
21
Let m be 1 + -6 - (-1 - (-3 - -2)). Suppose -w - r = 3*r, 5*r + 4 = -w. Let a = w + m. Calculate the remainder when 43 is divided by a.
10
Let m(o) = -7*o + 9. Let s be m(-4). Suppose -2*g = a + 27, 0*g - 6 = -3*g. Let b = s + a. Calculate the remainder when 45 is divided by b.
3
Let l(a) = 2*a**3 - 5*a**2 - 11*a + 2. Suppose -16*g - g = -833. What is the remainder when g is divided by l(4)?
1
Suppose -v - 67 = -4*c - 4*v, -5*c - 5*v = -85. What is the remainder when (-45 + 6)*-6*(-10)/(-90) is divided by c?
10
Let u(w) = 27*w**2 - w - 1. Let z(p) = -8*p - 47. Let l be z(-6). Calculate the remainder when 72 is divided by u(l).
22
Let m(l) = l**3 + 6*l**2 - 7. Let q = -117 - -150. Suppose -3 = 12*k + q. Calculate the remainder when 118 is divided by m(k).
18
Suppose 7*u - 84 = -4*l + 3*u, 2*l = 5*u + 35. Let o = -20 + l. Suppose -q - 5*k + 26 = o, -2*k = -q + k - 6. What is the remainder when q is divided by 2?
0
Let u = -11642 - -11721. Calculate the remainder when 216 is divided by u.
58
Suppose a - 5*v = 81, 0 = -a - 8*v + 34 + 47. What is the remainder when 5829 is divided by a?
78
Let s be 16 + (-2)/4*(-5 - -5). Suppose 15*y + 124 = s*y. Suppose 42 = 4*r - 2*r. Calculate the remainder when y is divided by r.
19
What is the remainder when 338718/78 + (-30)/(-65) is divided by 41?
38
Let y(b) be the third derivative of b**6/120 + 8*b**5/15 + 5*b**4/4 - 17*b**3/6 + 2*b**2 + 6*b. What is the remainder when 26 is divided by y(-31)?
12
Let c = 12 + 8. Let o be 1728/180*(c/(-3))/(-1). Suppose -25 = m - o. What is the remainder when m is divided by 21?
18
Suppose -17 = -4*r + 3*y, 5 = -5*r - 0*r - 5*y. Suppose 0 = -3*b + 3, -2*n - r*b + b = -21. Let u = -5 - -12. What is the remainder when n is divided by u?
3
Let g = -221 - 50. Let f = -259 - g. What is the remainder when 116 is divided by f?
8
Let k = -43 + 49. Suppose -3*j = -k + 9. What is the remainder when (88/(-6))/(j/6*2) is divided by 12?
8
Let o(c) = -731*c**3 - 5*c**2 - 2*c - 1. Calculate the remainder when o(-1) is divided by 9.
7
Let s(g) = -24*g**2 + 397*g - 1544. Suppose 0*q + 351 = 3*q. Calculate the remainder when q is divided by s(7).
58
Let q(o) = -o**3 - 4*o**2 - 7*o - 21. Let x be q(-4). Suppose -453 + 96 = -x*d. What is the remainder when d is divided by 18?
15
Suppose 18*b - 4*g + 518 = 23*b, 539 = 5*b - 3*g. What is the remainder when b is divided by 86?
20
Suppose -g + 10 = -4*k - 0*g, 3*k + 14 = 4*g. Let r(q) = -q**3 - 12*q**2 + 37*q + 315. Calculate the remainder when 4*1/(-2)*k is divided by r(-13).
1
Let c = 10 + 42. Let o(m) = -259*m + 2894. Calculate the remainder when c is divided by o(11).
7
Calculate the remainder when 264 is divided by (-4)/26*-287 + -17 + (-1314)/(-78).
0
Let j = -87556 + 87565. Let r = 0 - -2. Suppose k = 1 + r. What is the remainder when j is divided by k?
0
Let h = -9 - -24. Suppose 4*w - 1138 = -30*w - 254. Calculate the remainder when w is divided by h.
11
Let a be 6 + (4 + -3 - (-1)/1). Let u(r) = -4*r**2 - 4 + 3*r**2 + 89*r - 74*r - 2. What is the remainder when u(a) is divided by 17?
16
Let u(r) = -r**3 - 5*r**2 + 2*r + 34. Let h be -2 + (-2 + 11 - 5 - 8). What is the remainder when u(h) is divided by 8?
2
Let p(b) = -b**2 + 10*b + 190. What is the remainder when 451 is divided by p(13)?
149
Let a(o) = -o**3 + 6*o**2 - 4*o + 4. Let c be (22/(-14) + -7)*-7. Suppose -22*t + c + 72 = 0. Calculate the remainder when a(5) is divided by t.
3
Let d(p) = -p**2 + 3 - 1 + 381*p**3 - 405*p**3 + 2*p + 0. Let f be d(-1). Suppose -188 = f*j - 27*j. What is the remainder when j is divided by 16?
15
Let k = 1392 + -1350. What is the remainder when 575 is divided by k?
29
Suppose -15*z - 16 - 14 = 0. Let d be (1680/(-35))/((-1)/(-1) + z). Suppose 44 = 2*n - d. What is the remainder when n is divided by 12?
10
Suppose -2*u + 36 = 5*h - 13, -3*u + 3*h + 126 = 0. Suppose -3*k - 7 = -u. Calculate the remainder when 18 is divided by k.
8
Let j = -35 + 49. Suppose -5*t - 2*c = -589, -2*c - 36 = t - 141. What is the remainder when t is divided by j?
9
Suppose 651 = 80*f - 77*f. Calculate the remainder when f is divided by 51.
13
Let k = 18335 - 17993. Calculate the remainder when k is divided by 3.
0
Suppose 5*d + 5 = 15. Suppose 8 = -2*k - 3*l + l, -3*k - d = l. Calculate the remainder when k/(4/(-12))*-13 is divided by 21.
18
Let d(g) = 9*g + 36. Let c be d(-7). Let u = 29 + c. Suppose 3*l - 383 = 4*t, -u*t - 5 = -l + 120. Calculate the remainder when l is divided by 27.
25
Let r = 627 - 624. Suppose -290 = -5*z - r*p, 7*p = 3*p - 20. What is the remainder when 362 is divided by z?
57
Let x(m) = -m + 7. Let r be x(5). Suppose 2*g + r*g - 268 = 0. Let o = -59 + g. What is the remainder when 11 is divided by o?
3
Suppose -4*l = -q + 84, -16*l = 3*q - 20*l - 268. Suppose 0 = 3*u - 10*u + 175. What is the remainder when q is divided by u?
17
Suppose -8*g - 1487 = -527. Let x = -13 - g. Calculate the remainder when x is divided by 54.
53
Let l = -6719 - -7196. Calculate the remainder when l is divided by 184.
109
Suppose 0 = -4*a - 5*k - 2, 2*a + 3*a + 2*k - 6 = 0. What is the remainder when -1 - 57/(-9) - (-24)/(-18) is divided by a?
0
What is the remainder when (-7 + (-87)/(-15))*3/((-18)/520) is divided by 42?
20
Suppose 0 = 5*i - 3 - 7. Suppose -3*s - 139 = -i*l, -5*s + 37 = l - 0. Let c(v) = -v**3 + 6*v**2 + v + 2. Calculate the remainder when l is divided by c(5).
30
Let v = 119 - 63. Let u(b) be the first derivative of b**4/4 + 7*b**3/3 - 9*b**2/2 + 15*b - 17. Calculate the remainder when v is divided by u(-8).
10
Let f = 47 + -2. Let d = f - 50. Let k = 7 - d. What is the remainder when k is divided by 7?
5
Let c = -4946 + 4953. What is the remainder when 350 is divided by c?
0
Let q(g) = -g**3 - 12*g**2 + 5*g - 9. Suppose 0 = 7*z + 364 - 448. What is the remainder when q(-13) is divided by z?
11
Suppose -2*a = -10*a + 16. Let f be 2/((-1)/a - 57/(-120)). What is the remainder when 13 is divided by f/(-12) + ((-14)/(-6) - 2)?
6
Suppose -5*u + 72 = t + 16, -2*u + 2*t = -32. What is the remainder when 2783 is divided by u?
11
Suppose 2*a - 2 = -4. What is the remainder when 35/(-14) - -2*(-801)/(-12) is divided by 34 - 3*a/(-3)?
32
Let f(t) = -t**2 - 4*t + 24. Let l be f(3). Suppose 0 = 3*k + 2*w - 286, 0 = 2*k + 2*w + l*w - 187. Calculate the remainder when 381 is divided by k.
93
Suppose 0 = -3*t - b + 7742, -225*t + 230*t - 12887 = -4*b. What is the remainder when t is divided by 199?
195
Suppose 3*w - 4*l = 392, 10*l = -2*w + 14*l + 260. What is the remainder when 212 is divided by w?
80
Suppose -147 = 4*c - 163. Suppose -c*f = 4*r - 120, -294 = -5*f + 4*r - 99. What is the remainder when 172 is divided by f?
32
Suppose 2*k + 133 = -5*q + 199, -3*q - 72 = -5*k. Calculate the remainder when (-1)/(-3) - (-158)/3 is divided by k.
17
Suppose -54 + 26 = -7*u. Suppose 5*g - 4*y - 38 = 34, -u*y = 12. Let j(x) = 16*x - 1. Calculate the remainder when j(3) is divided by g.
11
Let c(v) = 5*v**3 + 6*v**2 - 68*v + 18. Let s(t) = -2*t**3 + t**2 + 2*t. Let y(f) = c(f) + 2*s(f). What is the remainder when 31 is divided by y(-13)?
1
Let c = -428 + 1035. Suppose 4*j - c = 213. What is the remainder when j is divided by 16?
13
Suppose 3*t = 3*l - 109 + 361, -2*t = 5*l - 126. Calculate the remainder when 281 is divided by t.
47
Suppose -85*r + 587 = -263. Calculate the remainder when 2408 is divided by r.
8
Let p = 20 + 5. Suppose -1581 = -26*o - p*o. What is the remainder whe