Let m be ((-18)/(-99) + 372/11)/(-2). What is the remainder when x/(-5 - -4)*m is divided by 6?
5
Suppose -4606*s + 4614*s = 2520 + 6136. Calculate the remainder when s is divided by 207.
47
Let p(d) be the first derivative of d**4/4 + 16*d**3/3 + 6*d**2 - 42*d + 115. What is the remainder when 26 is divided by p(-15)?
2
Suppose 11*q = -3*f + 251, -2*f - 93 = -3*q - 33. What is the remainder when 556 is divided by q?
6
Suppose 18*j + 7*j = 2275. Suppose z = -5*a + 42, -3*z - 3*a = -0*z - 90. What is the remainder when j is divided by z?
10
Suppose -2*a + a = -3*l - 153, 2*l + 830 = 5*a. Let k be 1/3*a/(-8). Calculate the remainder when ((-1)/2)/((k - -2)/110) is divided by 8.
3
Let m = 46 + -20. Let g = 46 - m. What is the remainder when 25 is divided by 1 - 5/(g/(-24))?
4
Suppose 2*n - t = n - 3, 1 = n + t. What is the remainder when 0 - -24 - (2 + n) is divided by (-20)/8*2*1*(-32)/20?
7
Let c(h) = -h**2 - 16*h + 831. Calculate the remainder when 14307 is divided by c(21).
51
Let y(p) = 469*p + 227. Calculate the remainder when y(1) is divided by 42.
24
Let r(o) = 13*o**2 - 145*o - 296. What is the remainder when 14671 is divided by r(-2)?
43
Let y(f) = -f**3 - 3*f**2 + 5*f - 6. Let c be (-6)/(-14) + (-450)/70. Calculate the remainder when y(c) is divided by (-25)/(-2)*(-12)/(-10).
12
Let w = -129 - -195. Suppose 0*k + 10*k = 240. What is the remainder when w is divided by (92/10)/(k/60)?
20
Suppose -2346 = -19*w + 2784. Calculate the remainder when 1081 is divided by w.
1
Let a = 171 - 160. Let o(v) = 41*v + 1. Let n(q) = -41*q - 1. Let b(f) = 4*n(f) + 3*o(f). Calculate the remainder when b(-1) is divided by a.
7
Let w(g) be the third derivative of -7*g**4/6 - 101*g**3/6 - 43*g**2 - 2. Calculate the remainder when w(-5) is divided by 22.
17
Suppose 2*k = 6*k - 64. Let y be 1/2 - 8/k - 0. Suppose -5*f - 4*l + 149 = 0, 61 = 2*f + 3*l - y*l. What is the remainder when 56 is divided by f?
27
Suppose 2*f - 5*z = 58, -2*f + 3*z = -54 - 12. Let w = 21 + 78. What is the remainder when w is divided by (-7 + 5)/((-3)/f)?
21
Let n(s) = -9*s + 309. Let h(l) = 2*l**3 - 8*l**2 + 4*l - 2. Let u be h(5). Let y = u + -37. Calculate the remainder when y is divided by n(33).
7
Suppose -i + 2177 = 5*h, -64*h + 5*i - 2185 = -69*h. What is the remainder when 928 is divided by h?
58
Suppose 418*v + a = 413*v + 13435, v = 3*a + 2671. What is the remainder when v is divided by 12?
10
Suppose -30*k = -32*k + 8. Suppose 0 = k*y - 415 - 245. Suppose -4*a - 41 = -y. Calculate the remainder when a is divided by 17.
14
Suppose -4*x - x = -4*n - 40, -3*x - n + 7 = 0. Let g(b) = 11*b**2 + 7*b - 7. Calculate the remainder when g(4) is divided by (-6)/((-12)/x)*20.
37
Suppose -387*z + 415*z - 224 = 0. Suppose -8*i = -4*i + 4. Calculate the remainder when 60/((-2)/i) + 1 is divided by z.
7
Suppose 94*s = 11*s + 581. What is the remainder when 214 is divided by s?
4
Calculate the remainder when 2926 is divided by (-93)/62*5840/(-6).
6
Suppose 82182 = 312*j - 95346. What is the remainder when j is divided by 52?
49
Let n = -1702 - -4264. What is the remainder when n is divided by 171?
168
Let w be (113 + -31)*3/(2 - 1). Let o = 269 - w. Calculate the remainder when 779 is divided by o.
20
Suppose 5*p = 4*x - 22 - 1, 3*p = -2*x - 5. Calculate the remainder when -4*1 - (7 - (51 + p)) is divided by 17.
3
Suppose 4*z - z - 337 = -5*g, 0 = 5*g + 5. Suppose -31*m + 310 = 62. Calculate the remainder when z is divided by m.
2
Let i(b) = -b**2 - 6*b - 9. Let y be i(-8). Let z = y + 53. Calculate the remainder when 40 is divided by z.
12
Suppose p + 860 = -9*p. Let o = p + 110. Suppose 101 = 4*t - 171. Calculate the remainder when t is divided by o.
20
Suppose -37*x = -28853 + 8947. Calculate the remainder when x is divided by 90.
88
Let y(u) = 19*u**2 + 4*u + 3. Let q be y(-3). Let i = 208 - q. Calculate the remainder when i is divided by 10.
6
Suppose -5*i = -i. Suppose 0 = -x + 3*l + 16, 4*x - l = -i*l + 97. Calculate the remainder when 2 + 35 + 6 + -1 is divided by x.
17
Suppose 0*h - 5*h = 15, -3*x + 2*h = 96. Let n = -3 - x. Let j = 34 - n. What is the remainder when 14 is divided by j?
2
Let u(b) be the second derivative of -1/6*b**4 + 3/2*b**2 - b**3 + 0 + 1/20*b**5 + 10*b. What is the remainder when u(4) is divided by 4?
3
Let q = -5294 + 6917. Calculate the remainder when q is divided by 13.
11
Let u = 14 - 12. Suppose 2*v - 7*v - 3*b = -30, -4*b = u*v - 26. Let s(j) = -j**3 + 7*j**2 - 6*j. Calculate the remainder when s(5) is divided by v.
2
Let g = -2814 + 2903. Let w(r) = r**3 + 7*r**2 - 10*r + 8. Calculate the remainder when g is divided by w(-8).
17
Suppose 33 = 4*y + 7*r, -16*y = -15*y - 5*r - 15. Calculate the remainder when 12 is divided by y.
2
Let x(n) = 15*n + 1350. What is the remainder when x(-37) is divided by 263?
6
Suppose -53*t = -63*t + 700. Calculate the remainder when 42 is divided by (-55)/(-2)*56/t.
20
Suppose 332*y - 26 = -x + 328*y, 0 = -x - 5*y + 28. Calculate the remainder when 7017 is divided by x.
15
What is the remainder when (-8)/(-6) + -1 + ((-16744000)/75)/(-92) is divided by 101?
3
Calculate the remainder when (-5753)/(-10) + (-63)/210 is divided by 555.
20
Suppose 74 = 4*u - h + 4*h, 0 = 2*u - 3*h - 28. Let v(f) = 4*f**2 - 42*f + 187. Calculate the remainder when v(4) is divided by u.
15
Calculate the remainder when 1213 is divided by ((-204)/9 + -35)/(2/(-6)).
2
Let l = -12 + 12. Suppose -4*z = 12, l*g = -g - 5*z. Suppose -4*h = 2*b - 92, 5*h + 135 = 3*b + 8*h. What is the remainder when b is divided by g?
14
Suppose -2*v + 18 = v. Suppose -15*h = -14*h + 18. What is the remainder when v is divided by 12*((-60)/h - 3)?
2
Suppose -3*h - 4*j = -276, j = -3*h + 3*j + 258. What is the remainder when 13 is divided by 21/4 - (-66)/h?
1
Suppose 67*n - 2344 = 57*n + 1556. Calculate the remainder when n is divided by 192.
6
Suppose -4*r = -30 - 34. Calculate the remainder when 4/(-7) + 10/(-14)*-215 is divided by r.
9
Suppose 51*x + 110*x - 783 = 7911. What is the remainder when 534 is divided by x?
48
What is the remainder when 72/(-12) + 281 - 8/2 is divided by 121?
29
Let f = -21089 + 21655. What is the remainder when f is divided by 185?
11
Let f(s) = s**3 - 166*s**2 - 4*s + 328. Let o(u) = -8*u + 1. What is the remainder when f(0) is divided by o(-4)?
31
Let z = 80 + -46. Let k be ((-42)/21)/((-1)/126). Suppose -6*j = -k - 138. Calculate the remainder when j is divided by z.
31
Suppose -3*c - 2*q = -3759, 4*c - 43*q + 39*q - 4972 = 0. Calculate the remainder when c is divided by 306.
25
Let q = -212 + 213. Suppose -q = f, -f + 49 = 2*s + 2*f. Calculate the remainder when s is divided by 14.
12
Suppose 6*j - 527 + 41 = 0. Let r be ((-69)/(-1))/(-5 + 6). What is the remainder when j is divided by 1/(r/17 + -4)?
13
Let t(y) = -y - 35. Let f be t(-19). Let c be (8 - 10)*(0 - f - 2). Let s = -14 - c. Calculate the remainder when 81 is divided by s.
11
Let v(b) = -b**2 + 7*b - 9. Let h be v(2). Let w(l) = 117*l**2 - l + 1. Calculate the remainder when w(h) is divided by 24.
21
Let a(v) = 4*v**2 + 8*v + 3. Suppose -54*s = 48*s - 16*s - 1462. What is the remainder when a(-6) is divided by s?
14
Suppose -3*c + 11*c - 3*l = 4329, -4*l - 523 = -c. What is the remainder when c is divided by 15?
3
Let z = 114 + -6. Suppose z = 5*s - 2. Let d = s + -4. Calculate the remainder when 52 is divided by d.
16
Suppose -f + 4*m + 170 = 0, -m - 2*m - 320 = -2*f. What is the remainder when 591 is divided by f?
129
Let m(u) be the third derivative of -u**4/12 + 2*u**3 + 25*u**2. Suppose 2*v = 1 + 3. What is the remainder when m(5) is divided by v?
0
What is the remainder when (42 - 10580/240)*-60 is divided by (-418)/(-7) + 4/14?
5
Let i = -35 - -100. Let d = i - 45. What is the remainder when 257 is divided by d?
17
Suppose 4 = q, 0 = 2*j - q - 32 + 6. Suppose 0 = 4*z + 3*p - 121, z - j = p + 24. Let n = -5204 - -5213. What is the remainder when z is divided by n?
7
Suppose 0 = -952*j + 917*j + 3605. Calculate the remainder when j is divided by 65.
38
Suppose -7*f - 2378 = -5*b, -128*f + 1428 = 3*b - 131*f. What is the remainder when b is divided by 470?
7
Suppose 3*y = 3*c - 5250 - 213, -1819 = -c + 3*y. What is the remainder when c is divided by 22?
18
Let q be -4