by m(z)?
9
Let r(l) = -6*l**2 - 219*l - 60. Calculate the remainder when 233 is divided by r(-36).
41
What is the remainder when ((-2)/(-4))/(31/3658) is divided by 10?
9
Let a(u) = 23*u**3 + 3*u**2 + 3*u. Let r be a(-2). Let i = r + 354. Suppose g = -3*g + i. What is the remainder when g is divided by 15?
14
Suppose 0 = -l - 26 + 28. Suppose m - 5*u + 235 = 6*m, l*u + 10 = 0. What is the remainder when m is divided by 27?
25
Let a = -52 - -100. What is the remainder when a is divided by (500/30)/(2/(-12)*-4)?
23
Let h(f) = f**3 + 18*f**2 - 28*f - 74. What is the remainder when h(-19) is divided by -4*2/(-4)*7?
13
Let p(a) = -a**3 + 6*a**2 - 5*a - 3. Let q be p(5). Let j be q + (-7 - -3) + -3. Let h = 6 - j. What is the remainder when 28 is divided by h?
12
Suppose u - 3*h - 207 = 25, -u + 4*h = -227. Calculate the remainder when u is divided by 8.
7
Suppose 0 = 5*u - 685 + 175. What is the remainder when u is divided by 12?
6
Let g = -23 + 23. Suppose u = -g*u. Suppose s + u*s = 70. Calculate the remainder when s is divided by 18.
16
Let c(o) = 18*o + 92. Calculate the remainder when c(7) is divided by 11.
9
Suppose -16*y - 194 = -34. Let h = y + 46. Suppose -3*x + 37 = m, -4*x = -5*x - 4*m + 5. What is the remainder when h is divided by x?
10
Let j = 119 + -95. Calculate the remainder when 91 is divided by j.
19
Suppose -2*m - z = -4*z - 920, 2319 = 5*m + 2*z. Calculate the remainder when m is divided by 41.
12
Let l(j) = -2*j**2 - 37*j - 13. Let q be l(-18). Suppose -3*m - 7 = -p + q, -2*m = 4*p - 104. Calculate the remainder when 93 is divided by p.
21
Let u(z) = z**3 + 8*z**2 + 11. What is the remainder when 130 is divided by u(-8)?
9
Suppose 65 + 164 = 5*z - 4*n, -4*n - 4 = 0. What is the remainder when z is divided by 23?
22
Suppose 30 - 323 = -h - 4*c, -4*h = -5*c - 1088. What is the remainder when h is divided by 70?
67
Suppose 3*o + 5*f + 38 = 5*o, 4 = -f. Calculate the remainder when 89 is divided by 50/15*o/2.
14
Let h(f) = 2*f**2 - 5*f - 9. Let d be h(7). What is the remainder when 70 is divided by d/21*(-35)/(-5)?
16
Let y = 2 + 73. Let q = y + 22. Calculate the remainder when q is divided by 25.
22
Suppose 46 = 4*b - 26. Suppose -13 = -h - 2*k, 3*k - 7*k - b = -2*h. What is the remainder when h is divided by 10?
1
Suppose 5*p - 6 = 2*c, 4 = c - 4*p + 5*p. Suppose 5*y = -5*u + 3*y + 19, -u + c = y. Suppose -24 = -5*s + 11. What is the remainder when s is divided by u?
2
Let o(y) = 29*y**2 + 3*y + 2. Calculate the remainder when 232 is divided by o(2).
108
Let y = -2020 - -2037. What is the remainder when 1407 is divided by y?
13
Let s(i) be the third derivative of i**5/30 + 7*i**4/24 + 5*i**3/6 + 4*i**2. What is the remainder when 59 is divided by s(-5)?
19
Let c = 13 - 1. Suppose h + 0*h - c = 4*l, 2*h = 2*l + 12. What is the remainder when h is divided by -3*(28/12 - 3)?
0
Let j(c) = c**2 - 7*c - 2. Let n be j(7). Calculate the remainder when 82 is divided by n/7 - 242/(-14).
14
Calculate the remainder when (-1787)/(-5) + (-28)/70 is divided by 45.
42
Let w = -346 - -360. Calculate the remainder when 376 is divided by w.
12
Let j be (48/9)/((-1)/(-3)). Suppose 0*d + d + 256 = 4*f, -4*d - j = 0. What is the remainder when f is divided by 34?
29
Suppose 0 = 4*q - 2*z - 157 + 51, 4*q - 113 = -5*z. Suppose -3*k = -q - 18. What is the remainder when 84 is divided by k?
9
Suppose 9*r - 19 = 35. What is the remainder when 38 is divided by r?
2
Let r(n) = n**3 - 3*n**2 - 33*n. Calculate the remainder when 387 is divided by r(8).
51
Suppose r + 0 = 3. Suppose -2*j + r*m = -29, 5*m - 6 = 3*m. Let w(x) = -x**3 + 7*x**2 + 3*x - 11. Calculate the remainder when j is divided by w(7).
9
Suppose 10*r - 35 = 5*r - 5*n, -2*r - 2 = -2*n. Suppose -y + 5*d - 391 + 414 = 0, 70 = 2*y + 2*d. Calculate the remainder when y is divided by r.
0
Let k(t) = -11*t + 7. Let n be k(-3). Let h = n - 19. Calculate the remainder when h is divided by 8.
5
Suppose 5*k - 109 = y - 5*y, -2*y = -2. Suppose -o - 2*l = -21, o - l = -2*l + 17. Calculate the remainder when k is divided by o.
8
Let j = -18 - -31. Suppose -86 = -4*p + 258. What is the remainder when p is divided by j?
8
Let q(h) = 39*h + 315. What is the remainder when 166 is divided by q(-7)?
40
Let w = 86 - 70. Calculate the remainder when 93 is divided by w.
13
Suppose 0 = 4*j + 3 - 19. Suppose -152 = -v - j*n - 39, -306 = -3*v - n. What is the remainder when v is divided by 35?
31
Let f = 71 - 69. Suppose f*p = -2*p + 776. What is the remainder when p is divided by 28?
26
Calculate the remainder when 69 is divided by ((-64)/12)/(3 + 33/(-9)).
5
Let p be ((-4)/(-6))/(2/3). Let w(m) = 5*m**3 - m**2. Let t be w(p). Suppose v = t*v - 9. Calculate the remainder when 7 is divided by v.
1
Let j(c) = -4*c**2 + 2*c**2 + c**3 + 7 - c**2 + 3*c. Let u be j(5). Let q = u + -40. Calculate the remainder when q is divided by 11.
10
Let h(u) = u**3 - 26*u**2 + 89*u + 56. Calculate the remainder when h(23) is divided by 26.
22
Suppose -86*q + 15730 = -75*q. What is the remainder when q is divided by 53?
52
Let u(w) = 3*w**3 - 11*w**2 - 14*w - 25. Let c(g) = -g**3 + 6*g**2 + 7*g + 12. Let i(p) = 5*c(p) + 2*u(p). What is the remainder when 19 is divided by i(-7)?
9
Let v = 116 - 54. Suppose -112 = -2*k - s - s, k - 2*s - v = 0. What is the remainder when k is divided by 15?
13
Let h(r) = 20*r - 88. Calculate the remainder when h(11) is divided by 7.
6
What is the remainder when 404 is divided by (-36)/16*-8 - 6?
8
Suppose -2*a + 6 + 0 = 0. Suppose 0*r + a*r = -3*y + 36, 5*r - 100 = 3*y. What is the remainder when 31 is divided by r?
14
Suppose -h + 10 + 5 = -3*n, 2*h - 2*n = 14. Suppose 0 = h*b - 7*b - 12. Calculate the remainder when 66 is divided by (78/(-9) + 3)*b.
15
Suppose -8 = -m + 2*k, -4*k + 2 = -5*m + 36. Let c(v) = 4*v**2 - v + 6. Let r be c(-3). Suppose -r = t - m*t. What is the remainder when 26 is divided by t?
8
Let r = 2581 - 2573. Let g(d) = -18*d + 15. Let v(f) = 9*f - 8. Let m(b) = -3*g(b) - 5*v(b). Calculate the remainder when m(4) is divided by r.
7
What is the remainder when 153 is divided by -12*(-7)/(168/66)?
21
Let n(w) = 128*w - 599. What is the remainder when n(6) is divided by 33?
4
Suppose 0 = -3*z - 3*t + 102, 3*z - 3*t - 112 = -8*t. Let o = 34 + -20. Calculate the remainder when z is divided by (-228)/(-14) + (-4)/o.
13
Suppose 5*b - 28 = 3*d - 4*d, -5*d = -5*b - 290. Suppose 5*z = 1471 - 416. What is the remainder when z is divided by d?
52
Let s = -5 + 4. Let c(k) = -5*k + 79. Calculate the remainder when 1*(-11)/(1/s) is divided by c(15).
3
Suppose 0 = -n - 4*n + 40. Suppose 4*l - 5*l = -n. Suppose -16*w = -266 - 56 + 2. Calculate the remainder when w is divided by l.
4
Let p = -657 - -756. Calculate the remainder when p is divided by 29.
12
Calculate the remainder when (-980)/(-6) - (3 - 11/3) is divided by 44.
32
Suppose -5*i = -4*h - 369, 0*i = 4*i + 5*h - 328. Suppose -2*w + 4*s = -38, 3*w - i = -3*s - s. What is the remainder when 45 + -2*(0 + 1) is divided by w?
20
Suppose 162*p - 5*r - 200 = 157*p, r - 5 = 0. Calculate the remainder when 48 is divided by p.
3
Let z be (-19 - -21)/(4/(-6)). What is the remainder when -1 + 6 + 6/z is divided by 3?
0
Suppose -10*o + 822 = -1568. Calculate the remainder when o is divided by 16.
15
Suppose 66 = 5*p - 89. Calculate the remainder when 151 is divided by p.
27
Let y(o) = 8*o + 13. Let f(b) = 15*b + 24. Let p(q) = 4*f(q) - 7*y(q). Let h be 2/5 + 39/15. What is the remainder when 65 is divided by p(h)?
14
Suppose -9*g + 624 = -33. Calculate the remainder when g is divided by 15.
13
Suppose 0 = -0*c + c + 4*i - 8, -i + 11 = c. Calculate the remainder when ((-501)/(-9) - 9) + (-5)/3 is divided by c.
9
What is the remainder when 141 + (21/(-7) - 1) is divided by 23?
22
Suppose -9*t = -28 + 10. Let l = -9 + 37. What is the remainder when 85 - (14 + t)/4 is divided by l?
25
Let t = -218 - -376. Calculate the remainder when t is divided by 20.
18
Let u = 57 + -21. Suppose 5*r + i + 10 = u, 2*i - 10 = -3*r. Suppose -2*j + 17 = -j. Calculate the remainder when j is divided by r.
5
Suppose -3*j + 2*i + 224 = 0, -36 = 5*j - 4*i - 412. Calculate the remainder when j is divided by 10.
2
Suppose -3*n + 18 = -n. Suppose 2*l = -n + 45. Calculate the rem