he remainder when 218 is divided by (-707)/(-21) - 6/9.
20
Suppose 2*h + 78 = 5*h. Let v(i) be the third derivative of i**5/60 - 3*i**4/4 - 19*i**3/2 + 55*i**2. What is the remainder when h is divided by v(21)?
2
Suppose -j = -y - 3*j + 73, 288 = 4*y + 4*j. Let o(q) = -83*q - 1890. What is the remainder when y is divided by o(-23)?
14
Let a = 364448 - 364398. Suppose 2*f - 995 = -3*f. Calculate the remainder when f is divided by a.
49
Suppose -5*o + 50 = -5*j, -3*j + 44 = -7*j + 2*o. What is the remainder when 10 is divided by 5 - (j/(-8) + 20/8)?
0
Suppose -3*t - 2*a + 95 = 0, -5*t - 5*a + 18 = -147. Calculate the remainder when 145 is divided by t.
0
Let t(a) = 2*a**2 + 2*a - 3. Let l be t(-3). Let u = l - 11. Let v = u - -10. Calculate the remainder when 27 is divided by v.
3
Suppose 3575*u = 3582*u - 413. What is the remainder when 102 is divided by u?
43
Let a = 871 + -679. Calculate the remainder when 581 is divided by a.
5
Let g be (-346 + 36/6)/(-2). Suppose -4*x + 168 = 4*w, 5*w - g = -5*x + 8*x. What is the remainder when w is divided by 3?
1
Let s = -4001 + 4066. What is the remainder when s is divided by 60?
5
Let h(p) = p**2 + 11*p - 7. Let l be -9 - (-4 - (-9 + 3)). Let a be h(l). Let m = a + 25. Calculate the remainder when m is divided by 7.
4
What is the remainder when 1077 is divided by (-341)/(-44) + 4 - ((-6)/(-8) - 1)?
9
Suppose -21 + 105 = 2*u. Suppose 0 = -2*p + 172 - u. What is the remainder when p is divided by 17?
14
Calculate the remainder when 635 is divided by (14 - 1) + 62 + -17.
55
Suppose 0 = -5*c - 3*b - 13, 5*c - 5*b + 7 = 2. Let n be (-4)/(c + 0) - (52 + -11). What is the remainder when (n/(-12) - 3) + 315/4 is divided by 21?
16
Suppose 0 = -4*x + 5*k + 55, -5*x - 4*k - 48 = -9*x. Suppose -58 = 3*y - 5*y. What is the remainder when y is divided by x?
4
Let v(j) = -4*j**3 - 17*j**2 - 100*j - 650. Calculate the remainder when v(-6) is divided by 32 + 6/(-3) + 5.
27
Let d(u) = 38*u**2 + 30*u - 200. What is the remainder when d(9) is divided by 90?
88
Suppose -52*z = -68*z + 40320. What is the remainder when z is divided by 26?
24
Let o(d) be the first derivative of -4*d**2 + 6*d + 26. Let n be o(1). Calculate the remainder when 89 is divided by n*(3 + -9 + 1).
9
Suppose 0 = -0*k + 2*k - 3*q - 8295, -q - 20770 = -5*k. Calculate the remainder when 36/(-42) - k/(-21) is divided by 20.
17
Suppose -3*z + m = -133, -10*z + 7*z - m = -131. Calculate the remainder when 395 is divided by z.
43
Let q be 3/(-9) + 35/(-21). Calculate the remainder when 119 is divided by (-24)/(-48)*(-260)/q.
54
Suppose -79 + 24 = -5*f. Suppose 0 = -3*i + 3*v - 387, 4*i = -2*v - 262 - 230. Let d = -84 - i. What is the remainder when d is divided by f?
8
Suppose 3*y = 6*y - 15. Suppose 0 = 2*k - 4*n - 86, 5*k - y*n + 3*n = 191. Let a = k - 30. Calculate the remainder when a is divided by 7.
0
Suppose -380 = 2*x + 4*s, 5*x - s = 336 - 1242. Suppose 0 = -3*l + 4*l + 127. Let v = l - x. What is the remainder when v is divided by 19?
17
Suppose 0 = -5*o + 4*y + 298 + 60, 2*o - y = 142. Calculate the remainder when 641 is divided by o.
11
Let n(o) = -3*o + 24. Suppose 0*f + 2*z = 3*f - 48, 57 = 3*f - 5*z. Let m be n(f). What is the remainder when (-1)/6 + (-2001)/m + 3 is divided by 39?
36
Suppose 2*x - 390 + 74 = 0. Suppose 2*p + n - 103 = 0, 4*p = p - 5*n + x. What is the remainder when p is divided by (-964)/(-36) - 5*6/(-135)?
24
Suppose 38*h + 107 = 42*h - y, -h = -3*y - 35. What is the remainder when 207 is divided by h?
25
Let k be 0*(3 - 4)*1. Calculate the remainder when 48/4 - (k + -2) is divided by (-276)/(-66) + 4/(-22).
2
Let z(r) = -32*r + 2. Suppose 11*u = 10*u - 2. Suppose 0 = 6*g - 123 - 15. What is the remainder when z(u) is divided by g?
20
Suppose -20*y + 15 = -15*y, -3*p = -y - 75. Suppose 72 + 56 = 2*k + 4*d, 197 = 3*k + 5*d. What is the remainder when k is divided by p?
22
Let n be (-4*(-5)/(-30))/((-3)/9). Suppose -3*u - 162 = -2*p, 0*p - 3*p + 243 = n*u. Calculate the remainder when p is divided by 31.
19
Suppose -35*b - 243 = -44*b. Suppose b*r + 17 - 989 = 0. What is the remainder when 212 is divided by r?
32
Let t be -5 + (-9)/6*-6. Suppose -t*b + 3*b + 39 = w, -3*w - 4*b = -118. What is the remainder when 134 is divided by w?
20
Let n = 12 + -4. Suppose 5*j + 126 = 11*j. What is the remainder when (-1)/((-2)/n) + 97 is divided by j?
17
Let n(v) = v**2 - 8*v + 14. Let a be n(6). Suppose 6*x - 4*t = a*x + 156, -159 = -5*x - 4*t. Let w = 1822 - 1615. What is the remainder when w is divided by x?
32
Let y = -692 + 812. Calculate the remainder when 508 is divided by y.
28
Suppose 45*z - 742 = -67. Let t be 45 - (-1 - -1)/3. Suppose -5*q + 123 = -4*s, -q - 6 + t = 4*s. What is the remainder when q is divided by z?
12
Suppose 5*g - 2*j = -30064, 0*g + j - 24050 = 4*g. Let l(o) = 4*o**3 - 2*o. What is the remainder when 2/((-8)/18 + g/(-12798)) is divided by l(2)?
23
Suppose -n + 5 + 33 = 0. Suppose 0 = -980*m + 978*m + 40. Calculate the remainder when n is divided by m.
18
Let j(g) be the second derivative of -g**3/2 + 25*g**2/2 - 79*g. Calculate the remainder when 33 is divided by j(5).
3
Suppose 119 = 6*n + n. Suppose r - 468 = -n*r. What is the remainder when 258 is divided by r?
24
Calculate the remainder when ((-747900)/600)/(9/(-6)) is divided by 346.
139
Let n(u) = u**3 + 10*u**2 + 17*u - 13. Let z be n(-7). What is the remainder when -1 + 203 + (z - 11) is divided by 30?
26
Suppose 52*g + 87*g - 30289 - 202953 = 0. Calculate the remainder when g is divided by 141.
127
Let z(r) = r**3 - 6*r**2 + 2*r + 18. Let v be z(5). Calculate the remainder when (-18)/v - (13 + -28) is divided by 5.
4
Let g(v) = -11*v - 66. Let b be 2/(-2) - 136/17. Calculate the remainder when 169 is divided by g(b).
4
Let d = 3587 + -3524. What is the remainder when 2392 is divided by d?
61
Calculate the remainder when 38887 is divided by (31 + 7 - 17) + 8.
27
Let d(l) = -l**3 + 16*l**2 - 40*l + 17. Let j be d(13). Calculate the remainder when j/(-14 + 2)*(-729 + -3) is divided by 49.
48
Let p be (-53 + 9)/(2*-1). Let k = 7 + p. Let t = -108 + 219. What is the remainder when t is divided by k?
24
Suppose 2*o + 1 = 69. Let s be ((-64)/6 - 0)*42/(-14). Suppose 0 = 2*k + 2*t - s, -5*k + 8 = -t - 84. Calculate the remainder when o is divided by k.
16
Let j = -103 - -100. Suppose 123 = 4*a + 3*f, 3*a = 4*f + 61 - 0. What is the remainder when (-430)/4*(j - -1) is divided by a?
26
Suppose 3*y = -3*u + 2*y - 6, -3 = -2*u - 3*y. Let o(n) = n**2 + n - 4. Let d be o(u). What is the remainder when (-567)/(-14) + (-1)/d is divided by 6?
4
Suppose 37*u = 6132 + 121. Calculate the remainder when u is divided by 17.
16
Suppose -x + 42 = -26. Suppose 51*a + 4600 = 74*a. Calculate the remainder when a is divided by x.
64
Let f(o) be the second derivative of 71*o**4/12 - 2*o**3/3 - 3*o**2/2 + 5*o. Calculate the remainder when f(-1) is divided by 27.
18
Let l = 402 + -237. Suppose 0 = -5*o + 8*a - 5*a + l, 5*o + 4*a - 200 = 0. What is the remainder when o is divided by (11 - 5)/((-4)/(-14))?
15
Suppose -4*d + 48 = 2*r - 2, 0 = 4*r - 5*d - 152. Calculate the remainder when r is divided by 21/(15 - 168/14).
5
Suppose -851 = -4*a + g, -13*a + 4*g - 217 = -14*a. Suppose 548*r - a = 545*r. What is the remainder when r is divided by 22?
5
Let v(b) = -17*b - 37. Let y be v(-2). Let r(c) = -c**2 - 11*c - 15. Let n = 1 + 41. Calculate the remainder when n is divided by r(y).
6
Let q(d) = -7*d - 31. Let p be q(-12). Suppose 3 = -5*a + p. What is the remainder when 26 is divided by a?
6
Let o(d) = d**3 + 20*d**2 - 9*d + 35. Let k be o(-21). Let s = k - -254. What is the remainder when s is divided by 12?
1
Suppose -17701 + 4185 = -124*r. What is the remainder when 19943 is divided by r?
105
Calculate the remainder when ((-1770)/5015)/(1/(-7633)) is divided by 69.
3
Let b(d) = -3*d**3 - 31*d**2 - 43*d - 213. Calculate the remainder when b(-10) is divided by 39.
0
Let v(y) = 17*y + 306. Suppose 0 = 5*s + 20, -3*s = -5*i + 168 + 89. Calculate the remainder when v(-5) is divided by i.
25
Suppose -40 = -5*h - 3*h. Suppose -10 = h*l, 3*l = -2*d + 4 + 38. Calculate the remainder when 41 is divided by d.
17
Suppose -5*x = 4*t - 12, -4*t + 6*t = -4*x. Let c(i) = -17*i + 22 + t + 0