uppose 22 = -5*v + 57. Calculate the remainder when x is divided by v.
4
Suppose -2*q - 3*w + 43 = 0, 4*q - 81 = -0*q - w. Suppose -3*v = 3*y - 27, 0 = 11*y - 15*y - q. What is the remainder when 80 is divided by v?
10
What is the remainder when (-5)/((-32)/48 + (17575/10554 - 1)) is divided by 22?
20
Suppose 0 = -6*d - 12*d + 414. Suppose -k - 310 = -3*b, 3*b - 304 = -6*k + 10*k. What is the remainder when b is divided by d?
12
Suppose -3*l = -0*l - 3*o + 129, o = 5*l + 235. Let m = -373 + 316. Let s = l - m. Calculate the remainder when 34 is divided by s.
7
Suppose 46536 = 18*m + 45852. Calculate the remainder when 1329 is divided by m.
37
Let y = 21 - -17. Suppose 4 = 4*f, -3*u + 1638*f + 485 = 1640*f. What is the remainder when u is divided by y?
9
Suppose -647619 = -84*o + 1024052 - 425363. What is the remainder when o is divided by 19?
17
Let k(o) = 2*o**2 + 9*o - 4. Suppose 176*f - 112 = 183*f. Let p = f - -25. What is the remainder when k(-8) is divided by p?
7
Suppose -3*p = -5*o + 172, o = 2*p - 6*p + 16. Suppose 0 = 5*h - 71 - 24. Let n = 111 - h. Calculate the remainder when n is divided by o.
28
Let h = -777 - -1014. Calculate the remainder when h is divided by 223.
14
Let i = -19 - -21. Suppose -2*z = 3*z + i*q - 72, -2*q = -4*z + 72. Calculate the remainder when ((-16550)/55)/(-5) - (-2)/(-11) is divided by z.
12
Let m(z) = 182*z + 2568. What is the remainder when 425 is divided by m(-14)?
5
Let i(l) = -13*l + 196. What is the remainder when i(-6) is divided by 1/(-10)*-5*46?
21
Suppose -m = -2*z + 3*z - 4, -3*z = -5*m + 28. Calculate the remainder when 15 is divided by (m + 0 - -8) + -4.
6
Suppose -4*x = -5*t - 40 + 3, 3*x + 1 = -2*t. What is the remainder when 1881/495*(2 + 8) is divided by x?
2
Let b(r) = -r**3 + 7*r**2 - 4*r. Let c be b(5). Let w = 43 - c. Suppose -11*l + 4*l = -49. Calculate the remainder when w is divided by l.
6
Let f(w) = -4*w**3 - 62*w**2 - 31*w + 54. Let p(o) = o**2 + 6*o + 2. Let z be p(-6). Suppose -z*x = x - 30. Calculate the remainder when f(-15) is divided by x.
9
Suppose 3*b + b = 140. Let j = -23 + b. What is the remainder when 43 is divided by (-4)/j + 0 + (-34)/(-3)?
10
Suppose -747 = 10*p - 19*p. Suppose -3*k + 2*w + p = 0, -2*w - 94 = -4*k + 16. What is the remainder when k is divided by 3?
0
Let u(r) = r**3 - 6*r**2 - 8*r + 4. Let c be (-282)/(-36) + 1 + 25/(-30). Calculate the remainder when 202 is divided by u(c).
66
Let j be -7*2*(-21)/6. Suppose 3*y - 3*d - 84 = 0, -79 = -4*y - 4*d + j. Calculate the remainder when 105 is divided by y.
15
Let g be -6 - 0 - (32 + -601). Suppose g + 286 = 3*x. What is the remainder when x is divided by 57?
55
Let v = -2056 - -8861. Calculate the remainder when v is divided by 166.
165
What is the remainder when (-44)/143 - 408440/(-104) is divided by 131?
128
Let w = -8473 - -8598. What is the remainder when w is divided by 58?
9
Let s = -1029 - -1036. Let g = 18 + -10. Let w = g - 6. What is the remainder when s is divided by w?
1
Let u(m) = m**2 - 12*m + 6 + 12*m**2 + m**3 + 2*m**2 - 4*m. Suppose l - 4*l + 61 = 4*n, l = n + 11. Calculate the remainder when l is divided by u(-16).
3
What is the remainder when (-4 - ((-84)/(-49))/(15/504))*-10 is divided by 86?
14
Let y = 14251 - 14244. Calculate the remainder when 9029 is divided by y.
6
Let s(j) = 2*j**3 + 32*j**2 - 14*j + 124. What is the remainder when s(-16) is divided by 19?
6
Let v = 131 + -130. Let n = -39 - -86. What is the remainder when n is divided by (-1 - (4 + (0 - v))) + 14?
7
Suppose 3*f + 3 = -3*b + 2*b, 0 = f + 1. Suppose -5*o + n - 5*n = -100, b = -n. Suppose -22*y + o*y = -12. Calculate the remainder when 12 is divided by y.
0
Let c = 11 - -5. Let j(k) = -36*k + 976. Let w be j(27). What is the remainder when 32 is divided by w/(c/4)*17?
15
Let z(c) = 2*c**3 - 4*c**3 - 1 + 6*c**2 + c + 3*c**3 - 4. Let u = -85 + 126. Calculate the remainder when u is divided by z(-5).
11
Let z(h) = -4*h**2 + h + 3. Let k be z(-1). Let t(n) = n**2 + 4*n + 6. Let o be t(k). Calculate the remainder when 105 is divided by ((-96)/(-20))/(o/15).
33
What is the remainder when 1222 is divided by (0 - 96/(-9))*(346/4 - 31)?
38
Suppose 382*o - 5031 = 369*o. Calculate the remainder when o is divided by 185.
17
Suppose -5*y = -36*y + 3596. Suppose 104*x = y*x - 420. What is the remainder when 209 is divided by x?
34
Suppose 3*q = -2*y + 561 + 778, 5*y = -q + 429. Suppose 4*o - q = f, o - 2*o + 86 = 5*f. What is the remainder when o is divided by 28?
27
Let f(t) = -3*t + 18. Let m = -53 - -59. Let i be f(m). Suppose 0 = -3*h - 5*s + 132, h + 4*s - 51 = -i*s. Calculate the remainder when 115 is divided by h.
37
Suppose -5*x - 3*f + 42 = -76, f - 93 = -4*x. Let s = x + -7. Let b(a) = -18*a - 672. Calculate the remainder when b(-39) is divided by s.
14
Let s = 766180 + -766126. Calculate the remainder when ((-50)/(-4) + 0)*12 is divided by s.
42
Let l(n) = 22*n**2. Let r be 0 + (4 - 7) + 4. Suppose 336 + 224 = 14*f. What is the remainder when f is divided by l(r)?
18
Suppose -71 = -3*o - 35. Calculate the remainder when 131 is divided by o/(0 - (2 + 42/(-18))).
23
Suppose 14*h = 5*d + 19*h - 1795, 3*d + h - 1087 = 0. What is the remainder when 1099 is divided by d?
7
Suppose 0*t + 5*n = 4*t - 64, 0 = -5*t - 5*n + 125. Suppose -t*g = 254 - 800. What is the remainder when 49 is divided by g?
23
Suppose -13*n = 53 - 92. Suppose -m + 173 = n*w, 4*w - 244 = -0*m + 2*m. Calculate the remainder when w is divided by 10.
9
Suppose -g - 22947 = -5*o - 2*g, 0 = -5*o + 4*g + 22962. Suppose -257*p + o = -247*p. What is the remainder when p is divided by 16?
11
Let z(d) = 10*d**2 + 254*d - 46. What is the remainder when z(-26) is divided by 101?
9
Suppose -20 = -4*o - 8. Suppose -37 + o = -a. Suppose -5*x + a = -3*x. What is the remainder when x is divided by 10?
7
Suppose -792 = -15*s + 13*s. What is the remainder when s is divided by 42?
18
Let c be ((-2720)/112)/((-1)/7). Suppose -3*q + c = 5. What is the remainder when q is divided by 19?
17
Suppose 0 = -26*r + 2327 + 697 + 3164. What is the remainder when r is divided by 44?
18
Suppose 5*g = 4*o - 13, -3*o = 9*g - 8*g - 24. What is the remainder when 54 is divided by (10/o)/((-3)/126*-3)?
14
Let f = 416 + -285. Let d(n) = 812*n + 3292. What is the remainder when f is divided by d(-4)?
43
Suppose 188 = 17*p - 13*p - 4*d, -5*d - 143 = -3*p. Suppose 0 = -5*y - 12 - 18. Calculate the remainder when 90 - (y/(-3))/2 is divided by p.
43
Let x = -2253 - -2313. Calculate the remainder when x is divided by 27.
6
Suppose -5*g + 34 = f, 34 = 3*g + 3*f + f. Calculate the remainder when (6/(-21)*1)/(((-400)/3220)/10) is divided by g.
5
Let n(c) = -22*c + 72. Let t be n(4). Let o = t - -115. Calculate the remainder when o is divided by 51.
48
Let k be -1 + 1/2*-4 + 1. Let o(b) = 3*b**2 + b. What is the remainder when 35 - (4 + -2 + k - 4) is divided by o(1)?
3
Let l(p) = -p**2 - 15*p + 32. Let y be (-4)/(-26) + 2169/13. Suppose 14*k + y = -57. Calculate the remainder when 127 is divided by l(k).
15
Let n = -4022 + 4219. Calculate the remainder when n is divided by 82.
33
Let h(a) be the first derivative of -a**2 + 13*a + 82. Calculate the remainder when h(0) is divided by 9.
4
Suppose -4*y + 72 = -0*y. Let s(l) = l**3 - 3*l**2 + 3*l + 4. Let b(n) = 2*n**2 - 4. Let x be b(2). Calculate the remainder when s(x) is divided by y.
14
Let b(u) = 127*u - 127. What is the remainder when 268 is divided by b(3)?
14
Suppose -468*m = -480*m + 1296. Calculate the remainder when 314 is divided by m.
98
Suppose 4*a + 578 = 5*z, 11*a + 352 = 3*z + 6*a. Calculate the remainder when 173 is divided by z.
59
Suppose -2*z - 38 = -8*c + 5*c, -5*c + 61 = -z. Let m be 6/9*-3 + 2. Suppose 5*w + 45 - 265 = m. Calculate the remainder when w is divided by c.
8
Let k = 10 + -8. Let x(w) = 2*w**2 - w + 1. Suppose -3*t - 21 = -4*y, 5 = -38*t + 43*t. What is the remainder when x(k) is divided by y?
1
Suppose -2*c + 1 = j, 100*j - 96*j = 20. What is the remainder when -108*((-15)/(-20))/3*c is divided by 48?
6
Let f = -5715 - -5834. Calculate the remainder when f is divided by 42.
35
Suppose -922 - 1015 - 250 = -81*k. What is the remainder when 11528 is divided by k?
26
Let x(y) = 2*y**2 - 7*y + 33. What is the remainde