*k + 2*k. Calculate the remainder when x(5) is divided by 4.
1
Let o(d) = d**3 - 6*d**2 + d - 4. Let g be o(6). Suppose g*c = 4*c - 42. Let k = -86010 + 86046. Calculate the remainder when k is divided by c.
15
Suppose 3*v - 6*v = 0. Suppose 42*i - 45*i + 9 = v. Suppose -2*k = 2*k - m - 20, -k - i*m = 8. Calculate the remainder when 13 is divided by k.
1
Suppose 100*b - 462 = 1101 + 1137. What is the remainder when 451 is divided by b?
19
Suppose 24 = 4*h + 4*g, 0*g + 15 = 2*h + g. What is the remainder when 282/h + 4/(-12) is divided by 9?
4
Suppose -r = 2*g - 24 - 15, 40 = 2*g + 2*r. Suppose -45 = -4*n + g. Suppose -5*f - 14 + 134 = 0. What is the remainder when f is divided by n?
8
Suppose 0 = -101*y + 121*y - 20140. What is the remainder when y is divided by 361?
285
Let i(a) = -a - 1. Let s be (24/(-14))/(((-160)/1428)/20). Let d = 321 - s. Calculate the remainder when d is divided by i(-7).
3
Let y = -35 + 42. Suppose -53 = 3*w - 14. Let u = w - -29. Calculate the remainder when u is divided by y.
2
Let g = 751 + -523. Calculate the remainder when ((-21)/(-9))/(4/g) is divided by 35.
28
Suppose -3*x + 3 = 21. Calculate the remainder when 62 is divided by 2/(x/(-3))*33.
29
Let d be (3 - 2)/((-1)/(-7)). Let p(a) = -61*a + 6. Let r(w) = -184*w + 18. Let g(l) = d*p(l) - 2*r(l). Calculate the remainder when g(-1) is divided by 17.
14
Let u(b) = -8*b**2 + 103*b + 23. What is the remainder when 281 is divided by u(13)?
1
Calculate the remainder when (-5 - (-237 - 5))/((-7)/(-28)*3) is divided by 148.
20
Let t = -82 + 90. What is the remainder when (18/t)/3 + 3707/44 is divided by 1*-2 + 3 + 23?
13
Let w = -18 + 23. Suppose 1 = w*c - 9. Suppose s = -g + 7, -4*g = -c*s - 2*g + 30. Calculate the remainder when s is divided by 4.
3
Suppose -344 = -3*z - 8. Suppose 12*j = 11*j + 38. Calculate the remainder when z is divided by j.
36
Let c(l) = -36*l - 8. Suppose -f = -16 + 19. Calculate the remainder when c(f) is divided by 51.
49
Suppose -287 = -50*t + 49*t. Calculate the remainder when t is divided by 249.
38
Let c(p) = p**3 - 9*p**2 + 24*p - 31. Let z be c(6). Calculate the remainder when 36 is divided by (9 - z)/(-4) + 3.
0
Suppose -24 = -2*q - 0*q. Let o be -1 + (-7)/(-6) + 136/48. What is the remainder when 32 is divided by 342/q*2/o?
13
Let s(j) = 3*j**3 - 3*j**2 - 8*j + 33. Let t(g) = g - 17. Let y be t(20). What is the remainder when 194 is divided by s(y)?
5
Let y(c) = -3*c**2 + 5*c**2 + c**2 - 5*c**2 + 22*c + 125. What is the remainder when 90 is divided by y(15)?
0
Suppose -20*x + 3229 + 691 = 0. Calculate the remainder when x is divided by 21.
7
Suppose -4*s + 4 + 120 = 0. Suppose -1 + s = 2*p. What is the remainder when 5*((-4)/(-20) + 4) - 1 is divided by p?
5
What is the remainder when -11*(-119)/34*18 is divided by 19?
9
Let r(l) = 2*l**3 - 7*l**2 + 6*l + 2. What is the remainder when r(10) is divided by 152?
146
Let w be (-8)/4 + (1 - -1). Suppose -2*s + w*o - o = -17, -o = 5. Let t(g) = g**3 + 15*g**2 - 2*g + 35. What is the remainder when t(-15) is divided by s?
10
Let q be 2*-3*(-4)/6. Let u be q + (6/(-3) - -3). Let n = 37 - u. What is the remainder when n is divided by 11?
10
Let u(s) = -3*s - 1. Let v be (15/10)/((-9)/(-12)). Let w be u(v). Let y = w - -13. Calculate the remainder when 23 is divided by y.
5
Let p(l) = l**3 - 51*l**2 + 48*l + 109. Let s = -14 - -37. What is the remainder when s is divided by p(50)?
5
Suppose 6*y = -2*p + y - 8839, 0 = 2*y - 2. What is the remainder when 4/18 - (p/27 + 6) is divided by 32?
30
Let r(z) = -z**2 - 3*z + 47. Let o be r(6). What is the remainder when 4/6*9*3 is divided by (4 + o)*(-50)/30?
3
Suppose 0 = 12*s - 10*s - 4*m - 380, 0 = 11*s + 2*m - 2090. Calculate the remainder when 959 is divided by s.
9
Let k = 321 + -316. Suppose k*v = -u + 76, -3*v + 6*v + 3*u = 48. Calculate the remainder when v is divided by 9.
6
Suppose b - 952 = -2*k, 5*b - 2973 = -3*k + 1808. Calculate the remainder when b is divided by 33.
1
Let g be 21/5 + -4 + (-2877)/(-15). Let k = g + -163. Calculate the remainder when k is divided by 15.
14
Let o(d) = -d**2 + 73*d + 26. Let k be o(-13). Calculate the remainder when 49 is divided by (k/(-56))/((-3)/(-4)).
23
Let v be -1 + 1855/45 - (-6)/(-27). Suppose -10*k + v = -0*k. Suppose k*g + g = 5*n + 95, g - 4*n = 25. What is the remainder when 19 is divided by g?
2
Let z be ((-2)/(-3))/((-1)/(-6)). Suppose 3*s - s - 1110 = z*c, -3*c - 831 = -3*s. Let k = -152 - c. What is the remainder when k is divided by 32?
30
Let g = -1766 + 1988. What is the remainder when g is divided by 65?
27
Calculate the remainder when 540 is divided by 8 + 27/9 + (-4 - 2) + 0.
0
Suppose -182 + 49 = 7*g. Suppose -2*q = q + 111. Let p = g - q. What is the remainder when 70 is divided by p?
16
Suppose -20044 = 5*v - 9*v - 5*i, 0 = 2*v + i - 10016. Suppose -5*w + v - 2034 = -3*k, 0 = 3*w + 4*k - 1760. What is the remainder when w is divided by 22?
20
Suppose 3*z = -164 - 109. Let a = z - -115. Calculate the remainder when 23/((1 - 2)/(-3)) is divided by a.
21
Let p(k) = 2*k**3 - 14*k**2 + 4*k + 26. What is the remainder when p(11) is divided by 150?
138
Let i(c) = c**2 + 3*c - 2. Let p be i(-6). Let r be 2/p - (-4879)/(-56). What is the remainder when (r/15)/(4/(-20)) is divided by 11?
7
Let s(a) = a**3 - 80*a**2 + 243*a - 870. What is the remainder when 2 + 1*155 + 0 is divided by s(77)?
49
Suppose 65*k + 3*q + 3512 = 70*k, 1408 = 2*k - 2*q. Calculate the remainder when k is divided by 118.
110
Let a = 6937 - 6904. Calculate the remainder when 100 is divided by a.
1
Let j = -43408 - -43444. Calculate the remainder when 12271 is divided by j.
31
Let m = 88 + -84. Suppose -5*z = 2*j - 154, -6*z = m*j - 4*z - 276. What is the remainder when j is divided by 34?
33
Let z = 14760 - 10009. What is the remainder when z is divided by 72?
71
Let w(v) = -20*v + 5. Let g be w(-7). Let r = g - 125. Calculate the remainder when r is divided by 12.
8
Suppose 2*n - 606 = -5*x, 5*x + 0*n = -4*n + 622. What is the remainder when x is divided by 17?
16
Let w(n) = 519*n + 7324. Calculate the remainder when 801 is divided by w(-14).
47
Let j(m) be the second derivative of -m**4/12 - 13*m**3/6 + 5*m**2 + 6*m. Suppose -5*u + 131 = 191. What is the remainder when 64 is divided by j(u)?
20
Let i = 6335 - 5663. What is the remainder when i is divided by 71?
33
Let j = 12 + -9. Suppose 0 = j*u + 5*u - 256. Suppose 63 = 61*o - 58*o. Calculate the remainder when u is divided by o.
11
Suppose 5*b = m - 8 - 11, -5*b = 0. Suppose m = -3*o - 2*w - 22, -4*o = w + 53. Let a = 2 - o. Calculate the remainder when 26 is divided by a.
11
Suppose -3 = 4*p + 73. Let l = 22 - p. What is the remainder when l is divided by 7?
6
Suppose -17*r + 208 = -234. Let y(z) = -z**3 + 12*z**2 - 5*z + 8. Calculate the remainder when y(11) is divided by r.
22
Let n(s) = -s**3 + 10*s**2 + s - 2. Suppose 10*a - 5 = 25. Suppose -4*l = -a*l - 23. What is the remainder when l is divided by n(10)?
7
Suppose -14*o + 10*o + 116 = 0. Suppose -2*p - o = -61. What is the remainder when 18 is divided by p?
2
Suppose l - 17 = 5*v - 8*v, -5*l = -4*v + 29. Suppose b + 68 = 2*f, v*f - 11*f + b = -170. Calculate the remainder when f is divided by 3.
1
Let c(j) = 17*j**2 + 2*j - 26. What is the remainder when 544 is divided by c(-2)?
12
Suppose 0 = 33*n - 38*n + 15. Let z be n/(2/((-1)/((-3)/(-6)))). Calculate the remainder when (-205)/(-4) + z/12 is divided by 14.
9
Suppose 1615*x - 1575*x = 400. Suppose 3*l + 51 = 5*q - 248, 217 = 4*q + 5*l. Calculate the remainder when q is divided by x.
8
Let u(g) = 6*g**2 + 211*g - 125. What is the remainder when 2416 is divided by u(-36)?
51
Let m = -91 + 118. Suppose 0 = 4*s + 5*d - 190, 4*d + m + 55 = 2*s. Calculate the remainder when s is divided by 11.
1
Let r be -1*(-2)/(-9) + (-1456)/(-72). Let t(x) = x**3 - 19*x**2 - 21*x + 29. Calculate the remainder when 88 is divided by t(r).
7
Let h(i) = 3*i**2 + 105*i + 1219. What is the remainder when 354 is divided by h(-14)?
17
Let u be (3 - 7)*10/8. Let a(v) = 2*v**2 + 5*v + 6. Let b(y) = y**3 + 6*y**2 - 115*y - 34. Calculate the remainder when a(u) is divided by b(-14).
7
Let p(y) = 2*y**3 - 4*y**2 - 5*y + 4. Let l be p(3). Calculate the remainder when 15 is divided b