is divided by k.
36
Let c(j) = j**2 + 10*j + 19. Let b be c(-5). What is the remainder when 10/b - (-22880)/165 is divided by 20?
17
Let f(m) = 2*m**3 - 3*m**2 + 4*m - 3. Suppose 4*v + 39*v + 27090 = 0. Let r = v - -663. Calculate the remainder when r is divided by f(2).
6
Suppose 19*r - 15*r - 7359 = 5*o, -o = -5*r + 9225. Suppose -37*h + r = -11*h. What is the remainder when 208 is divided by h?
66
Suppose 2*f + 2*u + 738 = 6*f, -5*u + 5 = 0. Suppose -31*q = -31*q - q + 2. Suppose q*s + 115 = f. Calculate the remainder when 173 is divided by s.
33
Let x(q) = -q**2 + 17*q - 62. Let g be (19/(-2))/(37/(-74)). Let k be x(g). Let j = -93 - k. What is the remainder when 54 is divided by j?
5
Let t(y) = 20*y**2 + 6*y + 6. Let q be (-26)/(-6) + 1/(-3). Calculate the remainder when t(q) is divided by 27.
26
Suppose -58*a = 2*h - 54*a - 114, 2*h = -a + 108. What is the remainder when h is divided by 14?
11
Let c(j) = -j**3 - 5*j**2 + 11*j + 5. Let p(n) = -13*n + 72. What is the remainder when c(-7) is divided by p(5)?
5
Let j = 9 + 7. Suppose 235*n - 7268 = 189*n. Calculate the remainder when n is divided by j.
14
Let c = -446 + 459. Suppose -153 = 126*x - 129*x. What is the remainder when x is divided by c?
12
Calculate the remainder when 1023 is divided by 3/(12/(-40)*2)*(-26 + 25).
3
Let s = 706 + -740. Suppose 5*x = -2*l + 26, -l + 4*l = -3*x + 21. Calculate the remainder when s + 40 - (-6 + 1) is divided by l.
2
Let x = -1731 - -1800. Calculate the remainder when x is divided by 42.
27
Suppose 2*s - 40 = -t, 18*s - 23*s - t = -106. Calculate the remainder when (-4)/6 + (-1464)/(-36) is divided by s.
18
Let m(l) = l**2 - 3*l + 7. Let y be m(3). Suppose 3*g + 276 = y*g. Let k = -56 + g. What is the remainder when 51 is divided by k?
12
Let d = 3581 - 3457. What is the remainder when 247 is divided by d?
123
Calculate the remainder when -2 + 465 + 1 + -3 is divided by (-3)/7 + ((-880)/(-28) - -11).
41
Suppose 6*b = 26*b. Suppose -4*i = -4*t + 44, b = -0*t + 5*t + 5*i - 45. Calculate the remainder when 49 is divided by t.
9
Let t = -8 + 13. Suppose 8*k - 63 = t*k. Let m = k + -13. What is the remainder when 23 is divided by m?
7
Let z = -4371 + 4383. What is the remainder when 67 is divided by z?
7
Let t be 28/(-13) + (270/65 - 4). Calculate the remainder when ((-64)/(-160))/((-1)/1945*t) is divided by 56.
53
Suppose 115*j - 120*j - 3139 = -2*s, 5*j = 35. Calculate the remainder when s is divided by 76.
67
Suppose 50 = 2*f - 5*v + 9*v, -5*f - v + 107 = 0. Suppose -20*y + 18*y + 32 = 4*m, 4*y - 34 = -2*m. What is the remainder when f is divided by y?
3
Suppose 4*c - 2*x - 90 = 0, -c - 5*x - 364 = -425. Suppose -o + 3*n + 120 = -38, 5*n + 625 = 4*o. What is the remainder when o is divided by c?
25
Suppose 4*d - 11 = 21. Let x(y) = 83*y + 70. What is the remainder when x(d) is divided by 23?
21
Let d = -1752 + 1812. What is the remainder when d is divided by (-1)/(-1 - (-128)/132)?
27
Suppose -4*m = 24*s - 25*s - 13, -s - 4*m + 51 = 0. Let h = -110 - -217. Calculate the remainder when h is divided by s.
12
Suppose 33 = 15*r - 237. Suppose l - 2 + 0 = 0. Suppose -5*h + 17 = 6*g - 2*g, -r = -3*g - l*h. Calculate the remainder when 36 is divided by g.
4
Suppose 0 = 3*v - 4*z - 6 - 1, 0 = -3*v - 5*z - 29. Calculate the remainder when (-1)/2*(-4 + v*46) is divided by 9.
8
Suppose 0 = 4*x - 2*t - 4, 6*t - t = 4*x + 2. Let j = 139 - 135. What is the remainder when j is divided by x?
0
Suppose -1040 = -744*m + 724*m. What is the remainder when 2389 is divided by m?
49
Suppose y + 0*h = 5*h + 28, -2*h - 10 = 0. Suppose 2*v = 4*k - 39 - 35, 0 = -k + y*v + 16. Calculate the remainder when k is divided by 5.
4
Let b(m) = 2*m**2 - 284*m + 1434. What is the remainder when 73 is divided by b(5)?
9
Suppose n + 145 = 1420. Suppose n = -48*d + 63*d. What is the remainder when 507 is divided by d?
82
Let v(f) = 12*f + 1. Let y be (-24)/(-30) - 2/10*-11. Let r = 13 - -8. Calculate the remainder when v(y) is divided by r.
16
Let w(j) = 17*j - 27. Let q be w(0). Calculate the remainder when (-4 - (-5 + 2))*q is divided by 4.
3
Let l = -1517 + 2109. What is the remainder when l is divided by 52?
20
Suppose -165*s + 1384 + 776 + 2130 = 0. Calculate the remainder when 2381 is divided by s.
15
Let z = -22 - -25. Suppose 3*g - 58 = 2*g - m, -2*m = z*g - 173. Suppose -p + 28 = -0*d - 4*d, -d - 159 = -5*p. Calculate the remainder when g is divided by p.
25
Calculate the remainder when 6 + (58 - -7) - (9 + 85/(-5)) is divided by 11.
2
Let t = -77 - -122. Suppose 3*g = 6*g + t. Let d(a) = a**3 + 15*a**2 - a + 1. Calculate the remainder when d(g) is divided by 5.
1
Let c = -3735 - -3765. Calculate the remainder when 449 is divided by c.
29
Let p(n) = 76*n + 107. Let s be p(5). Let o = s + -425. What is the remainder when o is divided by 8?
6
Let i = -3701 + 3830. Calculate the remainder when 4254 is divided by i.
126
Let g(x) = -2*x**2 + 120*x + 146. What is the remainder when 4150 is divided by g(61)?
22
Let i(q) be the first derivative of 47*q - 7/2*q**2 - 25. Calculate the remainder when i(-10) is divided by 20.
17
Let z = -147 + 162. Suppose 0 = x + 50 + 26. Let l = -40 - x. Calculate the remainder when l is divided by z.
6
Let b(o) = -o**2 - 4*o + 11. Let h be b(-6). Let m(t) = -21*t - 10. Let f be m(h). Suppose 1087 = f*d - 1201. What is the remainder when d is divided by 14?
12
Let g(h) = -h**2 + 7*h - 5. Let o be g(2). Suppose n = -o*n + 54. Suppose 3*w = -2*w - 2*z + 37, 2*z - n = -w. What is the remainder when 27 is divided by w?
6
Suppose 48*g + 50*g = 8918. Calculate the remainder when 11099 is divided by g.
88
Suppose -10197 - 5915 = -76*j. What is the remainder when j is divided by 44?
36
Let q(f) = -8*f**3 - 4*f - 3. Let h be q(-1). Suppose 6 + h = 3*d, -260 = -4*g - 4*d. Calculate the remainder when g is divided by 21.
18
Let v = 457 + -483. What is the remainder when (-2990)/v + -5 + 2 is divided by 57?
55
Let q(p) = -p**3 + 19*p**2 - 31*p - 8. Let j be q(17). Suppose 0 = 14*t - 183 + j. Suppose n + t*n = 264. What is the remainder when n is divided by 13?
11
Calculate the remainder when (-28 - 22/2)*7*-19 is divided by 70.
7
Let d = -19596 + 19791. Let c(j) = -35*j. Calculate the remainder when d is divided by c(-1).
20
Suppose -304*v - 36 = -324*v + 644. Calculate the remainder when 116 is divided by v.
14
Let m(y) = -435*y + 10494. Calculate the remainder when m(-5) is divided by 12.
9
Calculate the remainder when 2027 is divided by (-79509)/(-1938) + (-3)/114.
18
Let n = 27944 - 27914. Let b = 15 - 11. Calculate the remainder when n is divided by b.
2
Suppose 2*g - 72 - 114 = 0. Let s = -34009 + 34022. What is the remainder when g is divided by s?
2
Let j = -223 - -49. Calculate the remainder when (0/3 + j)*15/(-10) is divided by 44.
41
Suppose 12*f - 7*f - 1358 = 3*h, -3*h - 18 = 0. Calculate the remainder when 1072 is divided by f.
0
Let y(x) = 3*x**2 + 83*x + 649. What is the remainder when 717 is divided by y(-16)?
5
Suppose 4*s = 4*i - 5 + 53, 0 = -3*s + 5*i + 30. Let v(k) = 36*k**3 - 3*k**2 + 4*k - 2. What is the remainder when v(1) is divided by s?
5
Calculate the remainder when 1565 is divided by 39*(4 + (-32)/12) - -4.
53
Suppose -50*q - 69*q + 11*q = -56268. What is the remainder when q is divided by 68?
45
Let g = -5877 + 10286. Suppose 11*d - g = -1252. What is the remainder when d is divided by 16?
15
Let m(c) = -c**2 - 1 + 6 - 9*c - 8*c. Let f be m(-19). What is the remainder when 44/f*15*-3 is divided by 21?
18
Let p = -1924 + 1932. What is the remainder when 3615 is divided by p?
7
Suppose -5*q + q - 3*k = 112, -4*q + 2*k - 92 = 0. Let f = 1976 - 1971. What is the remainder when (-10)/q - 774/(-15) is divided by f?
2
Let p = -4 - -29. Let y(q) = q**2 - 17*q - 21. Calculate the remainder when y(p) is divided by 20.
19
Let d(v) be the third derivative of v**5/15 - 5*v**4/24 + 5*v**3/6 - 317*v**2. Calculate the remainder when 782 is divided by d(-3).
54
Let t(i) = -i**2 + i - 19 + 13*i + 2*i. Let f(x) = -x**2 + 17*x - 18. Let m(h) = 4*f(h) - 5*t(h). Calculate the remainder when 18 is divided by m(10).
0
What is the remainder when 274 is divided by -20*(-10 - (-111)/12)?
4
Suppose 3*k - 5*k + 37 = -g, -k - 3*g + 1 = 0. Let x(a) = 7*a**2 - 4*a + 1