e remainder when z is divided by 31.
21
Let w be (-3 - -2)/(4/4). Let k be (48/4)/3 + w. Suppose k*h - 231 = -8*h. Calculate the remainder when 79 is divided by h.
16
Let p = -8952 - -9788. Calculate the remainder when p is divided by 186.
92
Suppose 0 = -68*j + 1196 + 1514 + 1846. What is the remainder when 134 is divided by j?
0
Let f = 1251 + -1236. Let u be (2 - -1)*4/(-6). Let z(m) = -12*m**3 - 3*m**2 + m + 4. What is the remainder when z(u) is divided by f?
11
Let u(w) = w**2 - 11*w - 26. Let s be u(13). Let k = -152 + 327. Suppose -15*o + 65 + k = s. Calculate the remainder when 31 is divided by o.
15
Let m(c) = c**3 - 48*c**2 + 44*c + 408. Calculate the remainder when m(47) is divided by 177.
90
Let j = -208 - -244. Suppose j*m + 54 = 306. Calculate the remainder when 26 is divided by m.
5
Let z = 19260 + -18057. What is the remainder when z is divided by 37?
19
Suppose -3*o - 2159 - 583 = -2*g, g + o = 1391. Calculate the remainder when g is divided by 31.
19
Let j(b) = -195*b + 1172. What is the remainder when j(5) is divided by 37?
12
What is the remainder when 808 is divided by 120*((-58)/8 - -8)?
88
Let j = -3640 + 3650. Let h = -3 + 1. Calculate the remainder when 33 + ((-4)/h)/1 is divided by j.
5
Let m be (-20 - -20)*1/(-2). Suppose -u + t + 208 = 0, 11*u - 9*u + 5*t - 388 = m. Calculate the remainder when u is divided by 52.
48
Let j(k) = -26*k**3 + 2*k - 9. Calculate the remainder when j(-4) is divided by 4.
3
Let l = 208 + -157. Calculate the remainder when 112 is divided by l.
10
Suppose 3*b + 22 + 8 = 0. What is the remainder when (108/b)/((-1*2)/50) is divided by 21?
18
Let f = 2931 + -2543. What is the remainder when f is divided by 78?
76
Suppose -m - 7*y + 60 = -2*y, 0 = -m - 3*y + 60. Calculate the remainder when m is divided by -31 - -15 - (-55 + 23).
12
Suppose 0 = q - 5*f - 133, 13*q - 2*f = 12*q + 130. What is the remainder when 156 is divided by q?
28
Let a(t) = 6*t**3 + 24*t**2 - 2*t - 7. Let d(x) = -7*x**3 - 22*x**2 + 2*x + 6. Let z(o) = 4*a(o) + 3*d(o). Calculate the remainder when z(-9) is divided by 32.
27
Suppose 4*i + 28 = 0, -2*z + 69*i = 74*i - 21. What is the remainder when 1717 is divided by z?
9
Suppose 0 = -4*y + h + 10, 12 = 2*y + 7*h - 4*h. Suppose q - z - 8 = 0, y*q = -4*z - 0*z + 45. Let x = 62 - 23. What is the remainder when x is divided by q?
6
Let r = -21911 + 22338. Calculate the remainder when r is divided by 44.
31
Suppose 5*s + 46 = -2*l + 257, l = 2*s - 79. Suppose 214 = -39*q + s*q. Calculate the remainder when q is divided by 9.
8
Let s(i) = -27*i + 3948. What is the remainder when s(111) is divided by 193?
179
Let i(v) = 6*v - 511. Calculate the remainder when 28 is divided by i(89).
5
Suppose 0 = 3*o + f - 2*f - 106, -5*f = -5*o + 170. Let n(z) = -110*z + 16. Let k be n(4). Let c = 529 + k. Calculate the remainder when c is divided by o.
33
Let d = -27437 - -28614. Calculate the remainder when d is divided by 265.
117
Let w = -7416 - -7452. What is the remainder when 5543 is divided by w?
35
What is the remainder when 3/(-3) + (3741 + -2 - -9) is divided by 25?
22
Let c = 20120 - 19484. Calculate the remainder when c is divided by 118.
46
Suppose -105678 - 72184 = -110*v - 13632. Calculate the remainder when v is divided by 83.
82
Let l(k) = 9*k**3 + k**2 + 11*k + 3. Let j(r) = -r**2 - 2*r - 1. Let b(i) = 4*j(i) + l(i). Calculate the remainder when b(1) is divided by 3.
2
Let c(p) = -14*p + 1010. What is the remainder when 22000 is divided by c(64)?
112
Suppose -5*x - 2*h + 115 = 2*h, -3*x + h = -52. Suppose -16*o + 174 = -18. Suppose -149 - o = -23*s. Calculate the remainder when x is divided by s.
5
Calculate the remainder when (16/7 - 2) + (-2355511)/(-917) is divided by 22.
17
Let a(w) = 3*w + 47. Let r be a(-15). Let q(b) = 5*b**3 - b**2 - 4*b. What is the remainder when 167 is divided by q(r)?
27
Suppose -93*n + 220 = -82*n. What is the remainder when 162 is divided by n?
2
Suppose 2*o - 4066 = -92*o - 1340. Calculate the remainder when (-4)/14 - 2762/(-14) is divided by o.
23
Let h(n) = 48*n + 2157. What is the remainder when h(26) is divided by 62?
57
Let n = -10691 - -10819. Calculate the remainder when 152 is divided by n.
24
Let v(w) = -w**3 - 53*w**2 + 8. Suppose 3 = 3*a, 3*y + 174 - 10 = 5*a. Calculate the remainder when 303 is divided by v(y).
7
Let c(i) = -i**2 - 3*i + 10. Let a be 120*(-4)/((-24)/(-10)). Let r be a/48 - 1/(-6). What is the remainder when 14 is divided by c(r)?
2
Suppose -110 = -6*o + 4. Let d be (12/42)/((-3)/(-42)). What is the remainder when o is divided by ((-1 + 5)/(-4) + 3)*d?
3
Suppose -2034 = -408*w + 402*w. What is the remainder when w is divided by 333?
6
Suppose 165*o = 180*o - 990. Suppose 0 = -5*q - n + 30, 0 = -0*q - q - 5*n - 18. Calculate the remainder when o is divided by q.
3
Suppose 0 = 2*y + 3*y. Let i(b) = 126*b - 2384. Let q be i(19). Suppose y = -q*l + 14*l - 60. What is the remainder when 56 is divided by l?
11
Suppose 4*b + 4*p = 876 + 732, 5*p = b - 420. Suppose -14*h = -5*h - b. What is the remainder when h is divided by 24?
21
What is the remainder when 2/(-60) - (-905317)/210 is divided by 6?
3
Let f = -4019 - -8818. Calculate the remainder when f is divided by 16.
15
Let w(m) = -m**3 + 82*m**2 - 152*m - 473. What is the remainder when 2333 is divided by w(80)?
162
Let m = -26 - -57. Let o = 1595 + -415. Suppose 26*f - o = 6*f. Calculate the remainder when f is divided by m.
28
Let j = 3481 + -3462. Calculate the remainder when 3265 is divided by j.
16
Let f(p) = 325*p**2 - 207*p + 4. What is the remainder when f(3) is divided by 9?
4
Let t = 36498 + -36125. Calculate the remainder when t is divided by 366.
7
Let w(i) = -i + 4. Let y be w(0). What is the remainder when 5 is divided by y*(-6)/12*-1?
1
Suppose -35 = 12*o - 17*o. What is the remainder when ((-13)/(-5))/(8/120) is divided by o?
4
Let f = 432 - 331. Suppose f*v - 107*v = -528. Calculate the remainder when v is divided by 14.
4
Let d(z) = 32*z**2 + 6*z + 6. Let w be 5 - 3/12*0. Suppose -24 = 4*l - w*o, 0 - 3 = -l - o. Calculate the remainder when 92 is divided by d(l).
28
Suppose -4*z - 1215 = -7*z. Suppose -3*a - z = -18*a. What is the remainder when a is divided by (1/(-2))/((-2)/24)?
3
Let m(d) = -7*d - 2. Suppose 4433*s + 253 = 4438*s - v, -6*s + 5*v + 277 = 0. Calculate the remainder when s is divided by m(-3).
14
Let d = 24 - 36. Calculate the remainder when 144 is divided by -4*(-73)/d*-3.
71
Let n(h) be the second derivative of -h**4/2 - 13*h**3/2 - 2*h**2 - 1908*h. Let x = 2 - 8. Calculate the remainder when n(x) is divided by 6.
2
Suppose 0*k = -k - 301. Let r = 448 + k. Suppose -98*q + 1050 = -77*q. What is the remainder when r is divided by q?
47
Let p be (-64)/((-5)/12 - (-30)/(-120)). Let n = 105 - p. Calculate the remainder when 107 is divided by n.
8
Suppose 8*x - 4*i - 596 = 5*x, 4*x + 2*i = 736. What is the remainder when 353 is divided by x?
165
Let f(m) = -m**3 + 6*m**2 + m + 7. Let j(l) = 12*l**2 + 365*l + 366. What is the remainder when f(5) is divided by j(-1)?
11
Suppose 7*y = 4*y + 177. Suppose -5*d + y = 2*i, 0 = -i + 5*i + d - 127. Suppose 6*k - i = 2*k. What is the remainder when 45 is divided by k?
5
Suppose -4*i - 22 + 2 = 0, -5*v + 180 = -i. Let p(x) = 4*x + 82. Let f be p(-23). Calculate the remainder when v is divided by (-1 - f)/(12/128*8).
11
Let c(b) = -b**2 - 2*b + 5. Let t be c(-4). Let r(j) = -j**3 + 143. Calculate the remainder when r(0) is divided by 3/t - (-407)/11.
35
Let z(b) = -b**3 - 2*b**2 + 3*b. Suppose -279*o + 282*o - 3*p - 27 = 0, -12 = o - 4*p. What is the remainder when z(-6) is divided by o?
14
Let p = 30 + -8. Let l = -11188 - -11193. Calculate the remainder when p is divided by l.
2
Suppose 3556 = 70*j - 5684. Calculate the remainder when j is divided by 88.
44
Suppose 46*l = -11*l - 8*l + 55055. What is the remainder when l is divided by 279?
10
Let w = 10 + -6. Let x(s) = -15*s**2 + 82*s + 308. Calculate the remainder when w is divided by x(8).
0
Let j(o) = o**3 - 22*o**2 - 17*o - 94. What is the remainder when 22568 is divided by j(23)?
40
Let m be 3/(-6) - 1/(-2). Suppose m*o - o = 3*a - 10, -a - o = 0. Suppose -1761*d = -1796*d + 490. What is the remainder when d is divided by a?
4
Let o(f) = 48*f*