hat is the remainder when 4/(-10) - (-394)/10 is divided by y?
3
Suppose -22*l + 381 = -19*l. Suppose 5*p - 96 = 24. Calculate the remainder when l is divided by p.
7
Suppose -19 = -2*t - 3*j, 5*t - 36 = -4*j + 1. Suppose -2*l + 172 = 2*l + t*a, 180 = 4*l + 3*a. Calculate the remainder when l is divided by 3/(0 + (-6)/(-52)).
22
Suppose -8*n + 981 + 3 = 0. Let a = n - 114. What is the remainder when a is divided by 2?
1
Suppose -5 = p, -3*c = -5*c + 5*p + 41. Suppose 243 = c*x - 437. Calculate the remainder when x is divided by 11.
8
Suppose -4*w = 2*i - 1182 + 356, -5*w - 2*i + 1034 = 0. Suppose -4*k + 5*k = 19. What is the remainder when w is divided by k?
18
Suppose 52*d - 29 = 49*d + 2*w, -d + 19 = -3*w. Calculate the remainder when 83 is divided by d.
6
Let r(j) = 69*j**2 - 46*j. What is the remainder when 5082 is divided by r(1)?
22
Suppose 1161 = -379*r + 422*r. Calculate the remainder when 8368 is divided by r.
25
What is the remainder when 1161 is divided by 8 - (-11 - 206) - (-20)/4?
11
Let y(q) = -q**2 - 8*q - 43. Let w be y(25). Let r = w - -1107. What is the remainder when r is divided by 62?
53
Let n = -19 - -21. What is the remainder when n + -114*12/(-8) is divided by ((-70)/(-4))/((-115)/(-230))?
33
Let o(j) = j**2 - 2*j - 8. Let u = -1825 - -1939. What is the remainder when u is divided by o(8)?
34
Suppose -2579 = -32*q + 2605. What is the remainder when 322 is divided by q?
160
Suppose -59*g + 794 = -386. Let n = -4 + 5. Let q(l) = 58*l**3 + 2*l**2 - l. Calculate the remainder when q(n) is divided by g.
19
Suppose 72*t - 67*t + 4*r = 3140, t + 2*r = 622. Calculate the remainder when t is divided by 108.
92
Suppose 0 = 17*h - 0*h - 204. Suppose -h*j + 1530 = 5*j. What is the remainder when j is divided by 16?
10
Let b = 802 - 560. What is the remainder when b is divided by ((-210)/24)/(-1) + 8 + (-124)/16?
8
Suppose -b - 5*t + 242 = -10*t, 5*t = -2*b + 544. Let y = b - 106. Calculate the remainder when y is divided by 40.
36
Suppose y - 3 = 3*t + 10, -55 = -3*y + 5*t. Let l(j) = 8*j**2 + 12*j + 81. What is the remainder when l(-8) is divided by y?
22
What is the remainder when 997 is divided by (-58)/(-4176)*-8 - (0 + 20/(-18))?
0
Let o = -695 + 1015. Calculate the remainder when o is divided by 17.
14
Let y(v) = 51*v - 2 - 7*v**2 + 15 - v**3 + 15*v**2 + 55*v - 116*v. Let o(d) = -d - 4. Let s be o(-10). What is the remainder when 74 is divided by y(s)?
24
Suppose 409*z - 401*z = 20104. Calculate the remainder when z is divided by 209.
5
Let q be -3*(10/30)/(1/(-4)). Suppose 0 = 4*t + q*g + 4, t - g = 19 - 12. What is the remainder when 8 is divided by t?
2
Let m(k) = -8*k - k**2 + 2*k**2 + 2 + 8. Let r = 165002 + -164999. Calculate the remainder when r is divided by m(7).
0
Suppose c + 25 = -15. Let a = 87 + c. What is the remainder when a is divided by 16?
15
Let w = -8224 + 10164. Calculate the remainder when w is divided by 218.
196
Let f(z) = -z**2 - 30*z - 117. Calculate the remainder when 87 is divided by f(-5).
7
Suppose -109 + 4 = -21*f. Suppose 383 = 4*d + 4*k + 27, -475 = -f*d + 5*k. What is the remainder when d is divided by 27?
11
Let r be (-3 - -27) + -1 - (2 + -1). Suppose -r*x + 6258 = -x. What is the remainder when x is divided by 43?
40
Calculate the remainder when 728/14 - -10 - 11 is divided by 21.
9
Let n(s) = 9*s**2 - 96*s - 38. Calculate the remainder when 451 is divided by n(12).
27
Suppose 0 = -x - s - 3, -6*s = -5*x - s - 45. What is the remainder when 143 is divided by ((-5 - x)/4)/((-1)/(-68))?
7
Let m = 692 + -338. Suppose 0 = -i + 4*d + 31, -56 - 51 = -2*i - d. Calculate the remainder when m is divided by i.
48
Let y(b) = 4*b**2 - 3*b - 2. Let r(p) = 14*p + 64. Let u be r(12). Suppose h - 272 = -u. Calculate the remainder when h is divided by y(3).
15
Let y(n) = -n**3 + 80*n**2 - 82*n + 547. Calculate the remainder when 19837 is divided by y(79).
307
Suppose 2*i - 4*j - 10 = 30, -3*i + 5*j = -56. Calculate the remainder when 1731 is divided by i.
3
Let c = -7902 + 8119. Calculate the remainder when 1291 is divided by c.
206
Suppose 4*j - 19 = -a, -2*j + 3*a - 1 = -0*j. Let n = -3167 + 3190. Calculate the remainder when (-70)/j*(-72)/30 is divided by n.
19
Let z = 72 + -149. Let c = z - -65. Calculate the remainder when 109 - 7/((-28)/c) is divided by 36.
34
Suppose 607 = 12*w + 19. Suppose 5*x + 5 + 10 = 0. What is the remainder when 33 is divided by 3 + 28/(-12) - w/x?
16
Let l be 141 + 1/(2/2). Let c = -51 + l. Calculate the remainder when c is divided by 19.
15
Let v be (-1 - -66) + 6 + (0 - 5). Let g = v - 62. Suppose -a + 9 = g*m, 1 = 2*m - 1. What is the remainder when 21 is divided by a?
1
Let d = -11040 - -11219. What is the remainder when 5367 is divided by d?
176
Let o be -6 + 11/(11/8). Suppose 2*m - o*h - 26 = 0, -2*m + 3*h + 9 = -21. Calculate the remainder when 15 is divided by m.
6
Let i(w) = -9*w - 1. Suppose -16*r - 17 = -1. Let n be i(r). Suppose -n*g - 114 = -10*g. Calculate the remainder when g is divided by 16.
9
Let m = 27 - 29. Let t be (m + 7)*3*(-8)/(-60). What is the remainder when 21 is divided by 1/6*76 - t/3?
9
Suppose -9*w - 25132 + 25222 = 0. Let f(q) = q**2 - 3*q - 7. Calculate the remainder when w is divided by f(5).
1
Suppose 5*t = -5*u + 100, t - 2 - 3 = 0. What is the remainder when (72/(-30))/((-1)/30) is divided by u?
12
Suppose 5*x = -2*s + 12310 + 11525, -x + 2*s = -4779. Calculate the remainder when x is divided by 13.
11
Suppose -18*b = 2*v - 1762, -335 = -3*b - 3*v - 44. Suppose 3*f - 2*h - 3*h = 42, -24 = -4*f - 4*h. Calculate the remainder when b is divided by f.
8
Let a(s) = -53*s + 1760. Calculate the remainder when 213 is divided by a(32).
21
Suppose -29 = 8*g + 307. Let i = g + 12. Calculate the remainder when (76/(-6))/((-5)/(i/(-4))) is divided by 4.
3
Let s(z) = 4*z**2 + 21*z + 10. Let x be s(-5). Suppose 0 = x*o - 8 - 17, -4*t + 5*o = -579. Calculate the remainder when t is divided by 38.
37
Suppose -4*x + 26 = -4*r - 174, -5*x + r = -270. What is the remainder when 114 is divided by x?
4
Let p(u) = u**3 + 88*u**2 + 174*u + 209. Calculate the remainder when 74 is divided by p(-86).
0
Suppose -3*u + 4*w = -5*u + 152, -4*u + 5*w + 278 = 0. Calculate the remainder when 1010 is divided by u.
2
Let t(a) = 4*a + 52. Calculate the remainder when 0 + -2 + 88 - 3 is divided by t(-6).
27
Let w be 4/(-2)*8/(-4). Suppose -3 = -5*h + 7, -w*f = 4*h - 24. Suppose 4*g - 68 = 2*s, f*s - 11 - 24 = -g. What is the remainder when g is divided by 5?
4
Let o be (246/12)/(2/4). Suppose o*i - 45*i = 40. Calculate the remainder when (852/(-9))/(i/15 + 0) is divided by 29.
26
Suppose 51*x - 51*x + 111*x = 35409. Calculate the remainder when x is divided by 103.
10
Let u = -32 - -30. Let m(o) = 54*o + 21. Let v be m(u). Calculate the remainder when 43 is divided by v/(-6) + -2 + 27/(-18).
10
Let n = -6835 + 7146. What is the remainder when 936 is divided by n?
3
Let y be -4 - ((-24)/4 + -33). Calculate the remainder when (-3 - -4)*(y - -2) is divided by 11.
4
Let l = 48 - 41. Suppose -l*s - 2766 = -13*s. Suppose 3*y - s = -5*w, 21 + 404 = 3*y - 4*w. What is the remainder when y is divided by 37?
36
Suppose 0 = 3*x + 5 - 62. Let i = -111 + 84. Calculate the remainder when 2/((-2)/i) + (-32 - -33) is divided by x.
9
Suppose -5*u - 4*b = -5, -2*b - 35 = -3*u + 2*b. Suppose 4*z = 12, u*w + 0*z - 4*z - 103 = 0. Calculate the remainder when w is divided by 12.
11
Let q be (-20)/(-9) + (-4)/18. Suppose -q*r + 55 = -69. Suppose -520 = 115*b - 2935. What is the remainder when r is divided by b?
20
Let d(i) = -3*i**3 - 8*i - 8. Calculate the remainder when 1131 is divided by d(-3).
64
Let b(z) = -5*z**2 - 173*z - 92. What is the remainder when 269 is divided by b(-34)?
9
Let o = -9824 + 14783. What is the remainder when o is divided by 124?
123
Let g(b) = 111*b**2 - 65*b + 195. Calculate the remainder when g(6) is divided by 17.
10
Suppose 24018 = -17*k + 24222. Calculate the remainder when 349 is divided by k.
1
Let v(l) be the third derivative of 7*l**4/6 - 67*l**3/6 - 149*l**2. Let o = 29 + 14. Calculate the remainder when o is divided by v(3).
9
Let c(z) be the third derivative of z**6/40 - 7*z**4/24 + 7*z**3/3 + 15*z**2. Calculate the remainder when c(2) is divided by (-1