when k is divided by v.
7
Let m(l) = -481*l**3 - 3*l**2 + 25*l + 27. What is the remainder when m(-1) is divided by 30?
0
Suppose 4*z - 2*n - 3*n - 158 = 0, 0 = -z - 3*n + 31. What is the remainder when 545 is divided by z?
27
Let l = -57 + 70. Suppose 0 = -2*b - 4*s + 90, 3*b + 4*s - 2*s = 135. Suppose 0 = v - b + 23. Calculate the remainder when v is divided by l.
9
Suppose s - 24 + 3 = 0. Let y(p) = 23*p + p**3 - 5*p**2 + 23*p + 6 + 30*p**2. Calculate the remainder when s is divided by y(-23).
3
Suppose -2*q = -142 + 2. What is the remainder when 260 is divided by q?
50
Let c = 17620 - 17602. What is the remainder when 5991 is divided by c?
15
Suppose -4*a = 3*w - 68 + 183, 3 = -3*w. Let m = -14 - a. Calculate the remainder when (-2)/4 + (-210)/(-4) is divided by m.
10
Let m = 141 - -119. Suppose 86*d - 4790 - 972 = 0. What is the remainder when m is divided by d?
59
Suppose -9 + 134 = 5*g - 5*q, 2*q = g - 23. Suppose -4*b + 20 = 4*d, 2*b - 2*d = -0*b - 6. Calculate the remainder when g is divided by b.
0
Let k(z) = 229*z - 5629. What is the remainder when k(29) is divided by 2?
0
Let t = 1175 + 113. Suppose -15*f + t = 8*f. What is the remainder when f is divided by 30?
26
Suppose 5*b = -3*b + 40. Suppose -7*l = -b*l + 10*l. Suppose l = q - 6*q + 3*t + 15, 2*q - 6 = -4*t. Calculate the remainder when q is divided by 2.
1
Let p = -32 + 59. Let f(x) be the third derivative of 3*x**4/8 - 11*x**3 - 42*x**2. What is the remainder when f(13) is divided by p?
24
Let q(v) = -2*v. Let w be (-2 - -1)/1 + 0 + -1. Calculate the remainder when q(-8) is divided by (-28)/(-8)*(w + 2 + 2).
2
Let y(n) = -n**3 + 11*n**2 + 142. What is the remainder when 380 is divided by y(0)?
96
Let t be 5 + 3/(-9) + 10/(-6). Suppose 3*n = -t*x + 3, -3*x + 6 = -5*n + 43. Suppose 4*b + 18 = 10*b. Calculate the remainder when n is divided by b.
2
Let o = -3276 - -3850. What is the remainder when o is divided by 330?
244
Suppose -5*a = 5*h - 5, -9 + 13 = 5*a + 4*h. Suppose a = -2*d + 61 - 9. Let f(b) = -33*b + 2. Calculate the remainder when f(-2) is divided by d.
16
Suppose 5*y = 6*f - f - 1960, 0 = f - 2*y - 391. Let p = 619 - f. Calculate the remainder when p is divided by 47.
38
Let l = 369 - 337. Suppose -3*s = -332 + 53. Calculate the remainder when s is divided by l.
29
Suppose -21*z + 76 + 322 = -190. What is the remainder when 2371 is divided by z?
19
Suppose -58*r + 54*r - 2*s + 126 = 0, -2*s = 5*r - 154. Calculate the remainder when 360 is divided by r.
24
Let q(l) = 71*l + 4. Suppose 626*x - 136105 = -476*x - 35823. Calculate the remainder when q(5) is divided by x.
86
Suppose 3551 + 22849 = 11*u. Suppose 0*q + u = 15*q. Calculate the remainder when q is divided by 27.
25
Let x be -5 - (-4 - -2) - (5 - 252). Let u = -134 + x. Calculate the remainder when u is divided by 37.
36
Let g(r) = 2*r**2 + r - 13. Let f(a) be the third derivative of a**6/120 + a**5/15 - a**3 + 13*a**2. What is the remainder when g(3) is divided by f(-3)?
2
Suppose 2*m = 4*q + 92, 0*q + 3*q - 239 = -4*m. Let d be (-396)/(-14) - 16/m. Let f = d - 7. Calculate the remainder when 58 is divided by f.
16
Let x be 113/(-7) + 1/(-21)*-3. Let c = 100 - x. Calculate the remainder when c is divided by (-6)/(-9)*(-39)/(-2).
12
Suppose 3*p = 4*p + 44. Let h = 50 + p. Suppose h - 33 = -d. Calculate the remainder when 107 is divided by d.
26
Suppose -1246 = -5*r - 2*h, 3*r - 263 = 4*h + 469. Suppose 4*c = -4*m - 0*m + r, 4*c + 3*m - 248 = 0. What is the remainder when c is divided by 18?
8
Suppose -212212 = 66*x - 430*x. Calculate the remainder when x is divided by 97.
1
Let g(h) = 2*h**2 + 69*h - 1716. What is the remainder when 849 is divided by g(18)?
153
Suppose -2*j + 103 + 45 = 3*f, 375 = 5*j + 5*f. What is the remainder when 304 is divided by j?
73
Let n = -3 + 5. Suppose 2*l + 595 = 7*l. Calculate the remainder when l is divided by 20865/507 - n/13.
37
Suppose 0 = r - 56 + 51. Suppose 0 = -r*t + s + 281, 2*s - 5*s + 221 = 4*t. What is the remainder when 500 is divided by t?
52
Let v(h) = 13*h**3 + 4*h**2 - 8*h + 5. What is the remainder when v(1) is divided by 3?
2
Suppose -3*s + 1 = 1. Suppose 0 = -4*r - 9*w + 4*w + 81, -2*w + 2 = s. Calculate the remainder when 48 is divided by r.
10
Let t(n) = 84*n**2 + 6*n - 16. Let g be t(-9). Suppose -2*m + 16*m + g = 0. Let b = -164 - m. Calculate the remainder when b is divided by 53.
52
Suppose -5*q = -i + 3366, -2*i - i + 10018 = -5*q. What is the remainder when i is divided by 303?
296
Suppose -2*w - 5*m = -262, -18*w + 3*m = -13*w - 500. Calculate the remainder when w is divided by 2/6 - 26/(-3).
7
Let n = 19 + -11. Suppose -94 = n*s - 22. What is the remainder when 53 is divided by 2/s - (-1148)/63?
17
Let a(r) = 258*r + 2463. What is the remainder when a(-7) is divided by 318?
21
Suppose -143*w + 83619 = 86*w - 58*w. Calculate the remainder when w is divided by 89.
44
Let g = -23 + -201. Let p = g + 256. Calculate the remainder when p is divided by 10.
2
Suppose g = -s + 902, 0 = 2*g - 4*s - 1713 - 55. Calculate the remainder when g is divided by 36.
32
Let x(s) be the second derivative of -s**5/20 - 7*s**4/12 + 7*s**3/6 - 13*s**2/2 - 15*s. Let l = -63 - -54. Calculate the remainder when x(l) is divided by 18.
14
Let q = 17 + -7. Let h be 1/(-3 + (-1236)/(-411)). Suppose 4*w - 32 = -a, 3*w = -3*a + 8*a - h. What is the remainder when a is divided by q?
8
Let y(o) be the third derivative of o**6/60 - o**5/10 - o**4/6 - o**3/6 - 5*o**2 - 1. Calculate the remainder when 328 is divided by y(4).
13
Let o = 127 - 35. Suppose -5*m - 4*x = -140, -4*m + 2*x + 123 = 3*x. Calculate the remainder when o is divided by m.
28
Let m = -1555 + 1689. What is the remainder when 513 is divided by m?
111
Let g(t) = -27*t - 76. Let j be g(-12). Let z = -221 + j. What is the remainder when z is divided by 10?
7
Calculate the remainder when 223 is divided by 3/(-42) + (-198373)/(-1666).
104
Calculate the remainder when (184/(-10))/(((-26)/(-390))/((-22)/6)) is divided by 51.
43
Let f be 4997/(-57) - (-4)/6. Let q = -73 - f. What is the remainder when 76 is divided by q?
6
Let l be 4/34 + 65667/901. Suppose -9*j + l + 2411 = 0. Calculate the remainder when j is divided by 14.
10
What is the remainder when (1 + -4 + 4)/(47/27871) is divided by 577?
16
Let p = 603 + -599. Let k = 24 - 17. Calculate the remainder when k is divided by p.
3
Let b(i) = 2*i**3 - 35*i**2 + 5*i + 29. Let j be b(17). What is the remainder when 50/j + (-72)/(-7) is divided by 7?
3
Let c be -36 + (0 + 4)/2. Let t = c - -36. What is the remainder when 31 - (t - (-1 - -4)) is divided by 11?
10
Let r(d) = 2*d**3 + 6*d**2 - 4*d + 21. Let f be r(-4). Suppose -f*p = 25 - 115. What is the remainder when 19 is divided by p?
1
Let r(h) = 1416*h - 2851. Calculate the remainder when r(4) is divided by 8.
5
Let b = 459 + -701. Let t = b + 258. Suppose 4*l = 4*y + 32, -50 = -5*l - 2*y - 3*y. Calculate the remainder when t is divided by l.
7
Let b(q) = -4*q**3 - 3*q**2 + 13*q + 4. What is the remainder when 1137 is divided by b(-4)?
17
Suppose 3*i = 5*n - 115, 5*n + 5*i - 7*i = 120. Let o(v) = 3*v - 38. Calculate the remainder when o(n) is divided by 17.
6
Suppose 0 = -5*z + 10. Suppose -2*w + z*o - 11 = -3*w, -5*w + 48 = 3*o. Let a(i) = 327*i + 69. Calculate the remainder when a(0) is divided by w.
6
Let m(b) = 12*b + 174. What is the remainder when 1013 is divided by m(-6)?
95
Calculate the remainder when 83 is divided by ((-1379)/(-35) - 20) + 2/(-5).
7
What is the remainder when 1609 is divided by 1*27/(-72) + 2769/24?
114
Let z(b) = -b**3 - 63*b**2 + 2*b + 248. What is the remainder when 729 is divided by z(-63)?
119
Let v(q) be the second derivative of q**4/6 - 40*q**2 - 2*q + 15. Calculate the remainder when v(-8) is divided by 33.
15
Let a(y) = 2*y + 9. Let p(m) = -m**3 - 4*m**2 + 20*m - 10. Let v be p(-7). Let g be a(v). Calculate the remainder when (g - 6)*15*-1 is divided by 16.
13
Suppose 0 = 159*h - 163*h + 224. What is the remainder when 273 is divided by h?
49
Suppose -10*c - 107 = -i - 5*c, -4*i + 362 = 2*c. What is the remainder when 1192 is divided by i?
88
Suppose -5*h = -1068 + 858. What is the remainder when 228 is divided by h?
18
Suppose p + 0*t - 430 = -2*t, 4*p + t - 1755 = 0. Let z = 73