20*w**2 - 17*w - 78. What is the remainder when 253 is divided by q(8)?
1
Let h = -254 - -256. Suppose 2*v + 3*v = -m + 30, -h = v. What is the remainder when m is divided by 11?
7
Let w(t) = -t**2 - 79*t - 898. What is the remainder when 351 is divided by w(-15)?
41
Let r = -691 - -358. Let m = 694 + r. Calculate the remainder when m is divided by 52.
49
Suppose g + 14 = 2*g. Let t(z) = -z**3 + 29*z**2 - 27*z + 39. Let l be t(28). Suppose l*y - 70*y + 12 = 0. Calculate the remainder when g is divided by y.
2
Suppose 0 = -2*z - b - 1, -4*z - 2*b - b = 7. Suppose -5*g = -o - z*o - 105, g + 5*o + 7 = 0. Calculate the remainder when 19 is divided by g.
1
Suppose -4833 + 4890 = 3*i. Let n be (0 + (2 - 5))/(-3). What is the remainder when (6/n)/(-2) - -77 is divided by i?
17
Let i(u) = 2*u**3 - 5*u**2 - 4*u + 6. What is the remainder when i(4) is divided by 404/29 - (3450/435 - 8)?
10
Let d be (2 + 373 - (-4)/2) + 0. Let i = d + -160. Suppose -44 + 132 = 2*r. Calculate the remainder when i is divided by r.
41
Suppose 9198 = 45*a - 31*a. Suppose 368 + a = 5*r. What is the remainder when r is divided by 3?
1
Let f be 70*(4 - 3)/5*-2. Calculate the remainder when 53 is divided by (-3)/((-5 + 9)/f).
11
Let y(b) = 1222*b**2 - 11*b + 7. Let k be y(1). Suppose 18*z - 384 - k = 0. What is the remainder when z is divided by 35?
19
Let i = -81 - -75. What is the remainder when (-5 + 109)*i/(-8) is divided by 27?
24
Suppose a - 2949 = -v, -6*a + 17727 = 6*v - 11*a. What is the remainder when v is divided by 76?
64
Let q(m) = m**3 - 3*m**2 - 7*m - 1. Let n(r) = -3*r**3 + 3*r**2 + 8*r + 7. Let i = 331 - 332. What is the remainder when q(5) is divided by n(i)?
4
Suppose 61*a - 1387 = -36*a + 24*a. Suppose 3*m = 10 + 11. What is the remainder when a is divided by m?
5
Calculate the remainder when 94 is divided by (-225)/(-1 + 4)*15/(-15).
19
Let r = -1729 - -1760. What is the remainder when r is divided by 6/(-10)*(-4 + -6)?
1
Let x(f) = -3*f + 2. Suppose 14*b + 0 = -82 + 362. What is the remainder when b is divided by x(-3)?
9
Let v(w) = 12*w + 20. Let f be v(-3). Let p = -12 - f. What is the remainder when ((-8)/((-16)/p) - 1) + 50 is divided by 26?
25
Let h be (-28612)/36 + 4/(-18). Let r be h/12 + 0 - 3/(-12). Let s = r - -74. Calculate the remainder when 71 is divided by s.
7
Suppose -2*s = z - 7, -4*z + 0*z + 5*s = -28. Suppose 264 = z*a - 499. What is the remainder when a is divided by 56?
53
Suppose -30*d + 11*d = -11913. What is the remainder when ((-5)/(-15))/(11/d) is divided by 2?
1
Let p = -9886 + 10015. Calculate the remainder when 651 is divided by p.
6
Suppose -10*d - 26 = -11*d. Let k = 662 + -455. Suppose 2*c - 106 = -4*t, 3*c + 3*t = -c + k. Calculate the remainder when c is divided by d.
25
Let p(i) = 18*i + 1338. What is the remainder when 694 is divided by p(-73)?
22
Let j be (-6)/(-9) + 2075/15. Let a = j - 120. What is the remainder when 74 is divided by a?
17
Calculate the remainder when ((-943250)/(-80))/7 - ((-162)/(-48) + -3) is divided by 241.
238
Let r(k) = 2*k**2 - 58*k + 40. Let z be r(28). Let v = -5 - z. Let i(x) = x**3 + x**2 + x + 5. Calculate the remainder when v is divided by i(0).
1
Suppose -3*v + 141 = -12*u, -114 = -v - 5*u + 5. Let c = 16 + 0. What is the remainder when v is divided by c?
15
Let l(w) = -w**2 - 81*w + 11. Let v(u) = -80*u + 11. Let p(h) = 4*l(h) - 5*v(h). Calculate the remainder when p(18) is divided by 21.
19
Let j = 25181 + -25171. What is the remainder when 46 is divided by j?
6
Suppose 0 = k - 128 - 338. Let a(c) = 14*c**2 + 38*c - 80. Calculate the remainder when k is divided by a(2).
50
Let r(s) = -s**2 + 8*s + 27 - 4*s**2 + s + 4*s**2. Let q be r(11). Let j(d) = 2*d**2 + 3*d - 4. What is the remainder when j(q) is divided by 22?
17
Suppose 301*b - 59633 - 25639 = 37*b. Calculate the remainder when b is divided by 41.
36
Suppose 14*r + 5*m - 18288 = 12*r, -2*m = -2*r + 18302. Calculate the remainder when r is divided by 15.
14
Let h(b) = 6*b + 158. Let t(r) = 14*r + 27. What is the remainder when t(8) is divided by h(-24)?
13
Let x be 3 + (-14 + (-4 - 1) - 5). Calculate the remainder when 81 is divided by -2*8/(-6)*x/(-14).
1
Let i be -24*(-4 + (-88)/(-24)). Suppose 299 = 5*r + i*r. Calculate the remainder when 23 is divided by r.
0
Let j(o) = 1479*o. Let p be j(-6). Let w be 2/(-13) - p/(-117). Let m = w - -153. Calculate the remainder when m is divided by 20.
17
Let v = -4689 - -4768. Suppose 3*u - u = 72. Calculate the remainder when v is divided by u.
7
Suppose -4*f + 85 = 3*u, 4*f - 130 + 37 = 5*u. What is the remainder when 124 is divided by f?
14
Suppose 5274 = 70*h - 2776. What is the remainder when 425 is divided by h?
80
Let k = 119 + -59. Suppose 5*o = 15, 4*o = -3*i + o + k. Let q = 35 + 83. Calculate the remainder when q is divided by i.
16
Let j(u) = 41*u**2 + 74*u + 615. What is the remainder when j(-7) is divided by 31?
29
Suppose 19*k - 7040 = 3*k. Suppose -68*n + 66*n + k = 0. What is the remainder when n is divided by 32?
28
Let s(p) = 2*p**3 + 41*p**2 - 152*p - 42. What is the remainder when 2004 is divided by s(4)?
128
Suppose 2*o - 2*b - 16 = 0, 2*b - 4 = -2*b. Calculate the remainder when 122 is divided by o.
5
Let h be ((-5)/5)/((-6)/5 - -1). Suppose -5*q - 699 = -h*z + 256, 5*z - 919 = -4*q. What is the remainder when z is divided by 48?
43
Suppose -78 = -4*v + 3*v. Let k = v - 22. Let h = k - 42. Calculate the remainder when 25 is divided by h.
11
Let w = 213 - 159. Suppose -2*f - 113 = -17. Let d = f + w. What is the remainder when d is divided by 3?
0
Let b = 557 + -543. Suppose -12*z + b = -154. What is the remainder when 179 is divided by z?
11
Let b = 2321 + -2293. Let o(p) = -p**2 - 4*p + 5. Let a be o(-5). Suppose 0 = -a*k + 3*k - 45. Calculate the remainder when b is divided by k.
13
Suppose r - 2*p = 46, -1 = 4*r + 3*p - 152. Let l(b) = -r*b + 21 + 17*b + 19*b. What is the remainder when l(-12) is divided by 14?
13
Suppose 5*i - 508 = i. Suppose -368*f - 85*f = 2472 - 18780. What is the remainder when i is divided by f?
19
Let n(l) = 8*l. Let v be n(1). Let s(b) be the first derivative of b**3/3 + b**2/2 + 3*b - 4101. Calculate the remainder when s(v) is divided by 19.
18
Let f = -99 - -99. Let r(y) = y**2 + 86. Calculate the remainder when r(f) is divided by 11.
9
Let l be (24/(-9))/(-4 - (-230)/57). Let z = l + 120. Calculate the remainder when z is divided by 12.
8
Suppose -10*k = 2*d - 72, -37 - 17 = -4*d - 5*k. Let a(u) = 3*u**2 - u + 1. Let x be a(1). What is the remainder when 13/1*(-2 + x) is divided by d?
1
Let j = 11659 - 11641. Calculate the remainder when 21417 is divided by j.
15
Suppose -5*o + 24 = 2*t - 0*o, 0 = -o. Let w = -318 + 332. Let g = w + t. What is the remainder when 102 is divided by g?
24
Suppose -2*w = 4*g + 26, -5*w = -2*g + g + 21. Let o(f) = 27*f + 4. Let d be o(g). Let y = d - -170. What is the remainder when y is divided by 17?
15
Suppose 2*u + 3*y - 543 = -0*y, 5*u = -3*y + 1380. Let v = 469 + -434. What is the remainder when u is divided by v?
34
Suppose 3*v + 2*m = 353, -2*m + 270 = 4*v - 204. Calculate the remainder when v is divided by 10.
1
Suppose 5*x = 5*v + 30, 4*x + 5*v - 1 = -13. Suppose 0 = -l + x*l - 6. Calculate the remainder when 26 is divided by l.
2
Let f = -12946 - -12959. Suppose -3*j - 2*z + 6 = -z, 3*z - 2 = -j. Calculate the remainder when f is divided by j.
1
What is the remainder when 6 - ((-4)/(-5))/(3 + 4147/(-1375)) is divided by 45?
11
Let t(v) = v**3 + 10*v**2 + 6*v + 83. What is the remainder when 726 is divided by t(-10)?
13
Let k = 14 - -46. Suppose -61*s + k*s + 248 = 0. Calculate the remainder when s is divided by 50.
48
Suppose 63*w - 12 = 57*w. Suppose 3*a - 168 = 2*t - 35, -2*t = w*a - 92. Calculate the remainder when a is divided by 21.
3
Suppose -21*z + 975 = -851 + 629. Calculate the remainder when 1263 is divided by z.
9
Calculate the remainder when 319 is divided by (-8)/(-6)*1035/(-60)*-1.
20
Suppose -4*b - 3*g + 25 = -10, -3*b + 10 = -g. Suppose b*x - 190 = 3*o, 3*x - x + 2*o - 92 = 0. What is the remainder when 119 is divided by x?
37
Let s(z) = 30*z - 268. Let y(p) = -p**3 + 10*p**2 - 18*p + 27. Let n be y(8). Calculate the remainder when s(n) is divided by 41.
21
Suppose 1862 = 143*