-z. Calculate the remainder when t is divided by 18.
15
Let h = -3156 - -3219. Calculate the remainder when 187 is divided by h.
61
Suppose -1597 = -45*u + 2273. Suppose -3*b + 75 = -4*c - 193, 3*c + u = b. What is the remainder when b is divided by 8?
4
Let t(p) = -p**2 + 8*p - 12. Let u be t(6). Calculate the remainder when 25 + 5 + u + -12 + 8 is divided by 8.
2
Suppose 20*d + 8 = 24*d. Suppose -2*l - 6*v + 76 = -10*v, -4*l - d*v + 202 = 0. Calculate the remainder when l is divided by 18.
12
Suppose 12558 = -63*r + 245*r. What is the remainder when r is divided by 57?
12
Let h be -5*(-72)/30 + 1. Calculate the remainder when 132 is divided by h - ((-16)/24 - (-14)/3).
6
Let k = 228 - 221. What is the remainder when 237 is divided by (-133)/(-5 + -2) - k?
9
Suppose -2*t - 110 = -9*w + 5*w, w = -3*t + 45. Calculate the remainder when (53 - (-4 + 4))*(-1)/(-1) is divided by w.
23
Let a(f) = -125*f - 1611. What is the remainder when 963 is divided by a(-13)?
11
Let i = 2477 - 1589. Calculate the remainder when i is divided by 19.
14
Suppose -2*k + 0 = -10. Suppose k*v = 6*v - 4. Calculate the remainder when 32 is divided by (-1 - 2)*(v - 7).
5
Suppose 5*a - 254 + 314 = 0. Calculate the remainder when ((-260)/a)/((-30)/(-108)) is divided by 34.
10
Suppose -2*a = -3*b + 6677, -b + 1630 = 5*a - 556. Calculate the remainder when b is divided by 42.
37
Suppose r - 276 = 10*i, 0 = 2*r - 14*i + 10*i - 408. What is the remainder when r is divided by 71?
44
What is the remainder when (1*3)/(297/3960) is divided by 19?
2
Let s(o) = 13*o - 96. Let r be s(8). Let d(a) = 36*a - 60. Calculate the remainder when d(r) is divided by 58.
54
Suppose 6*r + j - 657 = 2*r, -4*j - 816 = -5*r. What is the remainder when r is divided by 40?
4
Let b = 289 - 359. What is the remainder when 93 is divided by b/(-60) + 7 - (-2)/(-12)?
5
Suppose 3*h + 15 = 5*y, -5*h = -3*y + 4*y - 3. Let s(r) = -r**2 + 2*r + 4. Let g be s(y). Let k(x) = 19*x + 3. What is the remainder when k(g) is divided by 6?
4
Let g = 17 + 38. Let q(d) = g - 43 - 5*d - 28. What is the remainder when q(-8) is divided by 14?
10
Let b = -5591 + 5647. Suppose -4*w + 173 = w + 4*n, 3*n - 105 = -3*w. What is the remainder when b is divided by w?
23
Let p be (-13032)/(-204) + 4/34. Suppose -8*b + p = -4*b. Let n = b + 14. Calculate the remainder when n is divided by 16.
14
Let z = 457 - 330. Suppose -5*j + z = -88. Calculate the remainder when 170 is divided by j.
41
Let m = 231 - 242. What is the remainder when 670 is divided by (-1055)/m + 3/33?
94
Let t(g) = -g**3 + 8*g**2 - g - 1. Suppose 16*f = 17*f - 4*b - 876, -15*b = -5*f + 4340. What is the remainder when f is divided by t(6)?
64
Suppose 0 = 4*l - 12 - 32. Calculate the remainder when 756 - (50/75 + 245/(-21)) is divided by l.
8
Let a = 11133 + -7578. Calculate the remainder when a is divided by 28.
27
Let p = -23 + 29. Suppose -p*n + 27 = 3*n. Let h(k) = -k**3 + 3*k**2 + 9. Calculate the remainder when 18 is divided by h(n).
0
Let m = -24 - -15. Let x be ((-6)/m)/(2/216). Suppose 3*l - 3*f + 0*f - 54 = 0, -4*l + 5*f = -x. Calculate the remainder when 50 is divided by l.
14
Suppose 0*f = 6*f - 54. Suppose 5*i - i = 3*v + 74, 5*v - 10 = 0. Let z = 39 - i. Calculate the remainder when z is divided by f.
1
Let z(f) = f**3 + 11*f**2 - 13*f - 9. Suppose 7*m = 7 - 91. Let j be z(m). What is the remainder when 40 is divided by -155*j/(-21) + (-8)/56?
18
Suppose 4*k + 0*k + 24 = 2*o, 0 = -4*o - k + 93. Calculate the remainder when 169 is divided by o.
15
Suppose -3*b + 19 - 10 = 0. Suppose 4*n - 18 = -5*g, -n - 2*g - 3*g = b. Calculate the remainder when 53 is divided by n.
4
Let g(z) = z**3 + 5*z**2 - 3*z + 7. Let f(y) be the first derivative of -27*y**2/2 - 75*y + 2. What is the remainder when f(-6) is divided by g(-5)?
21
Let c = -19 + 75. Let q = -510 - -530. Calculate the remainder when c is divided by q.
16
Suppose -4*o + 665 = o. Suppose 257*r - 72*r + 159*r - 17888 = 0. Calculate the remainder when o is divided by r.
29
Suppose 5*t - 262 = 223. Calculate the remainder when t is divided by 17576/936 - 4/(-18).
2
Suppose -8*r - 132 = -11*r. Suppose r*k - 45*k + 37 = 0. Suppose -2*j - c + k = 0, -c = -3*j - 3*c + 54. What is the remainder when 78 is divided by j?
18
Suppose 77 = w - 5*s, 3*s + 160 = 5*w - 115. Let l = 502 - 485. Calculate the remainder when w is divided by l.
1
Let v(o) = o**2 - 30*o + 144. Let g(k) = 7*k. What is the remainder when v(30) is divided by g(7)?
46
Suppose -17*d = -12*d - 10. Suppose -2 = -5*k + 8. Suppose 11 = 2*a - y, 4*y - 6*y = -k*a + 10. What is the remainder when a is divided by d?
0
Suppose -31 = t - 167. Let g = t + -190. What is the remainder when (78/(-9))/(9/g) is divided by 28?
24
Suppose 944*p = 887*p + 9234. What is the remainder when 1141 is divided by p?
7
What is the remainder when 1488 is divided by 6/(-2) + (69 + -70)/((-2)/442)?
180
Let s(q) = -q**3 - 16*q**2 + 2*q - 16. Let h be s(-16). Let k = 30 + h. What is the remainder when 189 is divided by 1740/54 - (-1)/k*4?
29
Suppose 2*w = 3*v - 0*w - 682, -433 = -2*v - 3*w. Suppose 0*x + v = 7*x. Suppose 11 = 7*s - 52. What is the remainder when x is divided by s?
5
Let p = 129 + -116. Calculate the remainder when (456/36)/((3/4)/((-18)/(-4))) is divided by p.
11
Let m(z) = z**2 + 5*z + 25. Let h(c) = -c - 17. Let t be h(-13). What is the remainder when 73 is divided by m(t)?
10
Let i(b) = b**3 + 8*b**2 - 9*b. Let k be i(-9). Suppose k = m - 5*m + 212. Let l = 1972 - 1953. What is the remainder when m is divided by l?
15
Let g = 5342 - 5219. Calculate the remainder when g is divided by 82.
41
Let v(y) = y**2 + 3*y + 1. Let a(g) = -9435*g - 9356*g - 64 + 18708*g. Calculate the remainder when v(6) is divided by a(-1).
17
Let f(h) = 10 + 14 - 8 - 2*h + 20. What is the remainder when 175 is divided by f(7)?
21
Suppose -35*j + 2465 + 1388 = -6647. Calculate the remainder when j is divided by 139.
22
Suppose -5*x - 22 = o, -3*o - 5*x + 279 = 295. What is the remainder when 1078 is divided by o?
1
Let y(r) = -7*r + 77. Suppose -36 = 22*v - 146. What is the remainder when y(v) is divided by 12?
6
Let c = -8063 - -8333. What is the remainder when c is divided by (13/(-4))/(2/(-24))?
36
Let m(a) = a**2 - 27*a - 524. Calculate the remainder when m(51) is divided by 9.
7
Let r(j) = 3*j**2 - 165*j + 610. Calculate the remainder when r(68) is divided by 192.
190
Suppose -98 = -3*q + 4*r + 333, -2*r = 4*q - 582. What is the remainder when 2068 is divided by q?
38
What is the remainder when -3 + (-30 - -41)/((-3)/(-1362)) is divided by 51?
44
Let o = -292 + 309. Suppose 0 = -3*u - 2*u + 1855. Calculate the remainder when u is divided by o.
14
Let a(c) = -8*c + 6*c + 10 + c. Suppose 13*b - 3*s - 28 = 12*b, -3*b = -2*s - 98. What is the remainder when b is divided by a(3)?
6
Suppose -3*h - v + 1219 - 107 = 0, 5*h = 2*v + 1835. Calculate the remainder when h is divided by 101.
66
Suppose -7*g + 2*g = -50. Calculate the remainder when ((-272)/(-15) - 0) + (-44)/330 is divided by g.
8
Suppose -41*f + 47*f - 234 = 0. Calculate the remainder when 49 is divided by ((-5)/(-3) - (-13)/f)*8.
1
Let n be (-2)/((-51)/12 - -4). Let h be (4/(-3))/(n/(-30)). Let x(w) = -w**3 + 7*w**2 - 2*w - 11. Calculate the remainder when x(h) is divided by 15.
14
Suppose 10*z = 14*z - 444. Let w(j) = 9*j**3 + 62*j**2 - 10*j + 2. Calculate the remainder when z is divided by w(-7).
19
Suppose -3*a = 5*g - 184, 2*a - 50 = -g + 68. What is the remainder when 294 is divided by a?
4
Suppose 20*i = 22*i - 12. Suppose -a + 5 + i = 0. What is the remainder when 185 is divided by a?
9
Suppose 194*j + 16214 = 216*j. What is the remainder when j is divided by 240?
17
Let b(f) = -f**3 - 7*f**2 + 2*f + 17. Let c be b(-7). Suppose -c*h - h - 8 = 0. Calculate the remainder when (8/10)/(h/(-250)) is divided by 34.
32
Suppose 24*v - 14502 + 267 - 11901 = 0. What is the remainder when v is divided by 78?
75
What is the remainder when 305 is divided by ((-22)/16)/((-503)/8048)?
19
Suppose -3*o + 58 = -122. Suppose -2*s - 3 + 57 = 0. Suppose -4 = -g - 1, -s = -r - 2*g. Calculate the remainder when o is divided by r.
18
Calculate the remainder when (-3)/(((-440)/43846)/20) is divided by 20.
19
Let l = -10033 + 10038. Suppose