r when 32/12*h + -2 is divided by 32.
30
Suppose -5*l - 5 = -5*r, -5*r = -l - 0*r + 19. Let y = -16 - l. What is the remainder when 72 is divided by (39/6 - -3)/((-5)/y)?
15
Calculate the remainder when -70*((-35)/(-10))/(-7) is divided by (-259)/(-21) + (-12)/(-18).
9
Suppose -75 = -3*g + 3*w, -524*w + 519*w + 30 = 0. Calculate the remainder when 1008 is divided by g.
16
Calculate the remainder when (11924/(-132))/((-3)/6 + (-13)/(-30)) is divided by 105.
95
Let i(w) = 100*w - 113. Suppose 0 = -32*h + 15*h + 34. Calculate the remainder when i(h) is divided by 11.
10
Let g = 35 + -32. Let j be -1*6/2*(-7)/g. Suppose 18 = j*a - 45. Calculate the remainder when 43 is divided by a.
7
Let v(a) = -86*a + 14. Suppose h + 23 - 12 = 2*t, -4*t + 20 = 0. What is the remainder when v(h) is divided by 36?
28
Suppose 0 = 3*w - 4*w - 3, 2*v - 35 = -w. Suppose -v*r + 339 = -79. What is the remainder when r is divided by 7?
1
Suppose 3*l + 222 = d, 5*l + 1012 - 362 = 3*d. Suppose -76*i + 81*i = 4*q + 380, -273 = -4*i - 3*q. Calculate the remainder when d is divided by i.
66
Let l(z) = 4*z + 31 - 13 - 3 - z**2 + 14*z. Let m(u) = u**2 - 27*u - 22. Let s(v) = 7*l(v) + 5*m(v). Calculate the remainder when 7 is divided by s(-3).
3
Suppose -2*x + 77 = 5*t - 30, -165 = -3*x - 3*t. What is the remainder when 236 is divided by x?
12
Let a be 21 + -55 - (-5)/(-1) - 1. Let w(g) = g**2 + 36*g - 68. What is the remainder when w(a) is divided by 19?
16
Let n(s) = -10*s - 1. Let w be n(-1). Suppose -w*o + 45 = -0*o. Suppose 0 = -l - o + 17. Calculate the remainder when 13 is divided by l.
1
Suppose 4*s = -4*s + 120. Let g = 62 - 68. What is the remainder when s is divided by ((-12)/18)/(1/g) - -2?
3
Suppose 6943 = -26*t + 79. Let r = 299 + t. What is the remainder when 244 is divided by r?
34
Let f(w) = -11*w + 142. Let h be f(13). Calculate the remainder when (h - 0) + -17 + 1 + 83 is divided by 41.
25
Suppose -11*a = -2*a. Let r be -7 + (4 - a) - -15 - 0. Suppose r*v - 107 = 1. Calculate the remainder when 42 is divided by v.
6
Let v(n) be the second derivative of n**4/6 - 4*n**3 - 11*n**2 - 15*n - 1. What is the remainder when 19 is divided by v(13)?
3
Let l(r) = r**2 + 77*r - 3643. What is the remainder when 5233 is divided by l(34)?
124
What is the remainder when -50 + 63 + 3540/4 is divided by 9?
7
Let r(l) = 4*l**2 - 41*l - 946. Let a = 8 + 27. Calculate the remainder when r(-16) is divided by a.
34
Suppose -156 = -20*m + 11*m + 60. Suppose -3*u - 458 = -5*b - 42, -4*u - 418 = -5*b. What is the remainder when b is divided by m?
10
Suppose -2*f = -2*l + 4, -3*f = l - 2*f - 6. What is the remainder when (l/((-176)/(-341)))/((-1)/(-4)) is divided by 14?
3
Let d(u) = -3*u**2 + 2 + 2*u**2 - 10*u + 7*u**2 - 4*u**2. Let t be d(4). What is the remainder when 44 is divided by 34/4 - 3/t?
8
Let f(q) = q**3 - 48*q**2 + 419*q - 57. What is the remainder when 8121 is divided by f(37)?
381
Let y be 8 + -4 + -7 - -4. Let d be 5 - (0 + (2 - y)). Calculate the remainder when 78 is divided by ((-128)/d)/(-4)*2.
14
Suppose 5*t - 4*d = 35, -2*t + 7 = -t - d. Suppose t*x = -2*x + 27. Calculate the remainder when (-2)/(-8) + 107/4 is divided by x.
0
Suppose -3*x = -5*g - 921, -1569 = -5*x - 17*g + 14*g. What is the remainder when x is divided by 99?
15
Let j = -172 - -174. Suppose -c - 2*h + 11 = -10, -2*h - 72 = -j*c. What is the remainder when 309 is divided by c?
30
Suppose -t + 3*o - 61 = -2*t, -3*t + 161 = -2*o. Let d = 1739 + -1688. Calculate the remainder when t is divided by d.
4
Suppose 875*o - 289*o = 3375946. What is the remainder when o is divided by 43?
42
Let h = 929 + -383. Calculate the remainder when h is divided by 51.
36
Let i = 4001 + -1586. Suppose -12*n + i + 1857 = 0. What is the remainder when n is divided by 20?
16
Suppose 6*x = 5*x + 11. Suppose 7*b - 24 = x. Let n = 19 - b. What is the remainder when 80 is divided by n?
10
Suppose 1250 - 466 = 14*c. Calculate the remainder when 1209 is divided by c.
33
Suppose 9*v + 26*v + 140 = 0. Let f(m) = 2*m**2 - 3*m + 3. What is the remainder when 187 is divided by f(v)?
46
Let n(k) = 7*k + 8. Let q be n(-2). Let t = 4 - q. Suppose 3*m - i = 108, -i + 72 = m + m. What is the remainder when m is divided by t?
6
Suppose -5*c - 3*z = 472, -5*c = z + 85 + 389. Let g = c - -137. Suppose 12*t + g = 15*t. Calculate the remainder when t is divided by 8.
6
Let l be (-414)/(-322) - (1 - (-5)/(-7)). Let c(a) = 178*a**2 + 4*a + 2. Calculate the remainder when c(l) is divided by 11.
8
Calculate the remainder when 443 is divided by 8/(-1) - (-157 + 84).
53
Suppose 5*o = 20, -3*v + 8*o = 3*o - 268. Let s = -2260 + 2281. Calculate the remainder when v is divided by s.
12
Let q(v) = v**3 - 12*v**2 - 45*v + 4. Let g be q(15). Suppose 850 = 5*k + 3*n, -g*k = -5*n - 903 + 186. Calculate the remainder when k is divided by 22.
19
Suppose 3*l - 55 = -4*d, -l - 64 = -5*d - 0*l. Suppose 3 - d = -x. What is the remainder when 49 is divided by x?
9
Let z(x) = x**3 + 14*x**2 - 30*x + 34. Let g be z(-16). Suppose 64 = 6*l - 5*l + g*p, 2*p + 216 = 4*l. Calculate the remainder when 217 is divided by l.
49
Let l(p) = p**3 - 5*p**2 + p + 4. Let u be l(5). Suppose -u*r = -5*r - 544. Suppose 9*y - 638 - r = 0. What is the remainder when y is divided by 22?
20
Suppose -11*j - 69 = -509. Let h be 1/((-2)/(-254)*1). Let t = h - j. Calculate the remainder when t is divided by 22.
21
Suppose -5 - 60 = -5*u. Suppose -u*g + 141 = -93. Calculate the remainder when 69 is divided by g.
15
Let r(k) = -13*k**3 + 4*k**2 + 10*k + 23. Let y be r(-5). Suppose 19*t - 88 = y. What is the remainder when t is divided by 10?
4
Suppose 2*k = -l + 24, 4*k + 21 = l + 3*k. Suppose 0 = -l*c + 19*c + 63. Calculate the remainder when ((-6)/(-9))/(2/186) is divided by c.
20
Suppose -4*k - 2*c + 191 = 55, 5*k = 5*c + 140. Let q(g) = -12*g**2 - 315*g + 11. What is the remainder when q(-26) is divided by k?
25
Suppose 3*a = l - 4*l - 9, 4*a + 4 = -2*l. Let t(s) = -1 - 2*s + 15*s + 4. What is the remainder when 77 is divided by t(a)?
13
Let t be 474 + 4 + (-2 - 5). Let p = t - 468. Calculate the remainder when 7 is divided by p.
1
Calculate the remainder when 1336*9/180 + (-4)/20*4 is divided by 8.
2
Let n = 3633 - 3535. Calculate the remainder when n is divided by 23.
6
Let v(x) = 2*x**2 - 162*x + 2025. What is the remainder when v(12) is divided by 179?
11
Calculate the remainder when 120 + -2 + 8 + (2 - 1) is divided by 73.
54
Suppose -22 + 6 = -4*w. Suppose 266 = w*x + 50. Calculate the remainder when x is divided by (-1)/(-3)*-14*-6.
26
Let g(w) = w**3 - 9 - 51*w - 36 + 38*w**2 - 24. What is the remainder when g(-39) is divided by 20?
19
Suppose -2*d - 22 = -2*w, d + d = -w + 20. Suppose 3*q - 28 = 161. Let g = q - -6. What is the remainder when g is divided by w?
13
Let x = -131 + 379. Let p = -193154 - -193218. Calculate the remainder when x is divided by p.
56
Suppose -506 = 6*x + 238. Let q = x - -150. Calculate the remainder when 76 is divided by q.
24
Suppose 6*y + 0 = 12. Suppose -4*s + y = -54. Calculate the remainder when 27 is divided by s.
13
Suppose -3*q - 4*v + 17 = 0, -q - 6 = -5*v + 1. Let x = 807 + -735. Suppose -c - q*c = -x. What is the remainder when c is divided by 8?
2
Suppose -16 = -7*g + 19. Suppose -m - i + 0*i = -83, 5*i + 71 = m. Calculate the remainder when m is divided by g.
1
Suppose 2*h + 167 + 211 = 23*h. Calculate the remainder when 930 is divided by h.
12
Let f = 324 + -152. Suppose 494 = -84*r + 3578 + 1872. Calculate the remainder when f is divided by r.
54
Suppose -2*t + 5*k = -10 - 7, -8 = -t + 2*k. Let l = -9 - -16. Calculate the remainder when 0 + (-9)/t*-50 is divided by l.
5
Suppose 4*o - 3*r = 1879, 5*o - 4*r = o + 1880. Calculate the remainder when o is divided by 35.
14
Let q = 23 - 15. Let r(c) be the second derivative of -11*c**5/10 - c**4/2 - 11*c**3/6 - 5*c**2/2 - 18*c + 13. What is the remainder when r(-1) is divided by q?
6
Suppose -14*c + 10*c + 828 = 0. Calculate the remainder when 1038 is divided by c.
3
Suppose 0 = 2*i - 119*d + 114*d - 2350, -3*i = 3*d - 3483. What is the remainder when i is divided by 56?
45
Let c(q) = 2*q**3 - 8*q**2 + 28*q - 62. Calculate the remainder when c(6) is divided by 134.
116
Suppose -3605 = -7*x 