he remainder when 234 is divided by r?
6
Suppose -t + 10 = -3*w + t, -t = 2*w + 9. Let p = 8 + w. What is the remainder when 5 - ((-24)/4 + 6) is divided by p?
1
Let d = 54 + -45. Let o(j) = j**3 - 9*j**2 + 9*j - 3. What is the remainder when o(d) is divided by 27?
24
Suppose 0 = 348*w - 354*w + 306. What is the remainder when 1069 is divided by w?
49
Let o(z) = 16*z**2 + 2*z - 2. What is the remainder when o(1) is divided by 10?
6
Calculate the remainder when 378 is divided by ((-2142)/(-952))/((-506)/256 + 2).
90
Let j(q) be the second derivative of q**2 + 0 + 0*q**3 + 1/10*q**5 - 1/4*q**4 + 4*q. What is the remainder when j(4) is divided by 28?
26
What is the remainder when 36 is divided by (-1024)/(-32) - (8 + -2)?
10
Suppose 2*j + 9 = -j, -3*x - 3*j = -6. Suppose 0 = -y + x*y - 132. Calculate the remainder when 95 is divided by y.
29
Calculate the remainder when 40*3*32/120 is divided by 29.
3
Let c = 794 - 260. Suppose -18*o = -c - 132. What is the remainder when 256 is divided by o?
34
Let a be -6*1*18/27. Let n = a - -24. What is the remainder when 59 is divided by n?
19
Let g = -11 - -36. Calculate the remainder when 148 is divided by g.
23
Let c be (-5)/(4 + 6)*(2 - -8). Calculate the remainder when 18 is divided by (-36)/(-9) - (c - -1).
2
Let d be (376/(-12))/((-2)/6). Suppose -2*f = -3*y + 122, 70 = 4*y - 3*f - d. What is the remainder when y is divided by 8?
6
Suppose 2*u - 108 = -3*w, 2*w - 72 = -17*u + 18*u. Calculate the remainder when 123 is divided by w.
15
Suppose 0 = -5*p - 3*i + 35, -3*i - 3 = -5*p + 2. Suppose p*b - 66 + 2 = 0. Calculate the remainder when b is divided by 4/10 + 86/10.
7
Let i(s) = -s**3 + 6*s**2 + 4*s - 1. Let p be i(-3). Let j = -38 + p. Calculate the remainder when j is divided by 18.
12
Suppose 4*g + 6 = -22. Let y = g + 11. Suppose 3*m - m = -y*b + 18, -m = 5*b - 24. Calculate the remainder when 8 is divided by b.
3
Suppose 5*a = -5*l - 5, 6*a = 4*a - 4. Suppose x - k + 14 = 0, x + l + 3 = -4*k. Let w = 28 + x. What is the remainder when 31 is divided by w?
15
Let s = 423 + -274. What is the remainder when 160 is divided by s?
11
Suppose 14 = -4*i + 6. Let j(c) = -13*c + 6. Calculate the remainder when j(i) is divided by 11.
10
Suppose 2*l = -5*d + 648, -3*d - 5*l = -361 - 43. Let o = d - 77. Let u = 26 - 13. What is the remainder when o is divided by u?
12
Calculate the remainder when 85 is divided by (-15)/(-20)*8 - -28.
17
Suppose 0 = 2*i - 5*k - 16, i - 3*k = 2*k + 3. Calculate the remainder when i is divided by (-1 - 27)*(-7)/28.
6
Suppose -8*p + 38 + 194 = 0. What is the remainder when 223 is divided by p?
20
Let l = 1 + 24. Suppose -z - z + 29 = 3*d, 0 = 2*z - d - l. What is the remainder when z is divided by -4 + 2 - 0 - -5?
1
Let u = -23 - -24. Suppose -l + 3*q = 4*l - 160, 4*l = 5*q + 115. What is the remainder when l is divided by 90/5*(u + 2/(-6))?
11
Suppose -3*h + 43 = h + 3*g, 3*g = 3*h - 48. Suppose -2*b - 41*f = -40*f - 188, 3*f - 114 = -b. What is the remainder when b is divided by h?
12
Let k = -23 + 21. Let x(h) = -5*h - 9. Calculate the remainder when (-4)/18*-3*6 is divided by x(k).
0
Let c(q) = -q**3 - 11*q**2 - 2*q - 5. Suppose f = 2*o - 7, -3 = 4*f - 2*o + 31. Let g = f + -2. Calculate the remainder when c(g) is divided by 9.
8
Suppose -2*n = 4*a - 22, 3*n - 40 = -2*n - 5*a. Suppose n*b + 8 + 17 = 0. Let m(r) = 2*r**2 - r - 10. Calculate the remainder when m(b) is divided by 12.
9
Let c(j) = -j**2 + 4*j - 2. Let l be c(4). Let f be (-8)/l + (-60)/12. What is the remainder when (27 - f) + 2 + -4 is divided by 9?
8
Let y(p) = p**2 + 13*p - 55. What is the remainder when 234 is divided by y(-19)?
57
Let q(x) = -x**2 - 7*x + 10. Let s be q(-8). Suppose m = 0, b + s*b - 21 = 4*m. Calculate the remainder when ((-1)/(42/(-108)))/(1/7) is divided by b.
4
Suppose 436 = 5*o + 181. Suppose z - 54 = -5*z. What is the remainder when o is divided by z?
6
Suppose 3*q = -83*q + 11008. What is the remainder when 1277 is divided by q?
125
Let y = 65 - 53. Calculate the remainder when 47 is divided by y.
11
Suppose -5*d + 252 = -4*r - d, -4*d = 5*r + 333. Let s = r - -111. Suppose -18*l + l = -272. Calculate the remainder when s is divided by l.
14
What is the remainder when 305 - 29/((-29)/6) is divided by 26?
25
Suppose 20 = 4*k + l - 4*l, 5*k - l - 25 = 0. Calculate the remainder when 11 is divided by k.
1
Let s(z) = 2*z**3 + z**2 - z. Let p be s(1). Suppose -r + p - 14 = 0. Let h = r + 24. Calculate the remainder when 23 is divided by h.
11
What is the remainder when ((-469)/7)/(-1*(-3 - -4)) is divided by 22?
1
Suppose 5*a = -3*j + 50, -a + 32 = 4*j - 3*a. Let p(r) = r**2 + 4. What is the remainder when j is divided by p(0)?
2
Let s = -2 + 9. Suppose -2*g - 3 = s, 4*g = 5*n - 130. Suppose k - r = 81, -5*k = 3*r - 344 - 93. What is the remainder when k is divided by n?
19
Let t = 34 - -51. Suppose -4*z + 25 + 23 = 2*m, z - 120 = -5*m. Let b = -2 + m. Calculate the remainder when t is divided by b.
19
What is the remainder when (19/(-57))/((-3)/1557) is divided by 58?
57
Suppose 15 = -2*g + 3*j + 4, 0 = -4*j + 20. Suppose -g*b + 3*q = -b - 10, -b + 2 = q. What is the remainder when 6 is divided by b?
2
Let h(w) = -4*w - 23. Let s be h(-7). Suppose g = -s*j - 3*g + 70, -5*j = -3*g - 105. What is the remainder when 51 is divided by j?
15
Let l = -150 + 326. Suppose 4*h + l = -44. Let g = 97 + h. Calculate the remainder when g is divided by 11.
9
Calculate the remainder when 99 is divided by 290/4*(-312)/(-260).
12
Suppose -30 = -151*b + 150*b. What is the remainder when 177 is divided by b?
27
Suppose 73 = -5*n + 13. Let z = n - -17. Let a = 24 + -9. What is the remainder when a is divided by z?
0
Suppose 2*d + 3*d - 430 = 0. Calculate the remainder when 319 is divided by d.
61
Let d(s) = s**2. Suppose -y + 3 = -0*y, 3*y = -2*o + 17. Let w be d(o). Suppose -5*m = 0, w = 3*k - 2*m + 1. Calculate the remainder when k is divided by 2.
1
Suppose 2*y - 7 - 27 = 0. What is the remainder when 78/(-4)*(-2 + -4) is divided by y?
15
Let l(b) = b**2 + 9*b - 5. Let p(c) = -10*c**2. Let d be p(1). Let f be l(d). Suppose 0 = 8*z - 7*z - f. Calculate the remainder when 12 is divided by z.
2
Suppose 0 = 2*j - 0*j - 4. Suppose -18 = 2*t + 5*n - 98, 68 = 2*t + j*n. Calculate the remainder when t is divided by 9.
3
Let n(l) = -19*l**2 + 4. Let y be n(-5). What is the remainder when (-6)/21 - 0 - y/7 is divided by 10?
7
Suppose 3*q - 188 = -q. What is the remainder when (-22035)/(-120) + 33/88 is divided by q?
43
Let b = 1884 + -733. Calculate the remainder when b is divided by 68.
63
Let n = 206 + -39. Let h = -124 + n. Calculate the remainder when 214 is divided by h.
42
Let h(b) = -2*b**3 - 5*b**2 + 6*b + 12. What is the remainder when h(-4) is divided by 3?
0
Suppose -s - 4*p = -40, 3*s = 7*s + 5*p - 127. What is the remainder when 780 is divided by s?
24
Suppose -2*h - 5*l = -21, 4*h + l - 35 = -2*l. Let p = -133 - -274. Calculate the remainder when p is divided by h.
5
What is the remainder when 75 - (36/(-27))/((-3)/(-9)) is divided by 16?
15
Let w be 2/3 - 5/3. Let u be w*(15 - 0) + 0. Let o = -12 - u. Calculate the remainder when 7 is divided by o.
1
Let l(o) = -o - 2. Let s be l(-16). Suppose 0 = 4*w + 7 + 13. Let d = s + w. What is the remainder when 15 is divided by d?
6
Suppose -6*p - 6*p = -6444. What is the remainder when p is divided by 15?
12
Let d(o) = -2*o + 17. Let q(g) = -g**2 - 11*g - 10. Calculate the remainder when d(-7) is divided by q(-9).
7
Suppose 16*s + 39 = 19*s. Suppose 11*q = s*q - 110. Calculate the remainder when q is divided by 4*(-7)/(-2) + 0.
13
Let u = 23 - 20. Suppose -i = 4*b - 104, 0*b = -u*b + 3*i + 93. Suppose -b*f + 25*f = -8. What is the remainder when 14 is divided by f?
2
Suppose -3*r = 4*p + 361, -74 = -2*p + 3*p + 4*r. What is the remainder when 53 is divided by 0 + p/(-5) - 4/(-20)?
15
Let g = 43 + -42. Let m(a) = 4*a**2 + a**2 + 3*a**2. Calculate the remainder when 23 is divided by m(g).
7
Let i(u) = -12*u + 27. Let m be i(5). Let t = m - -60. What is the remainder when t is divided by 4?
3
Let k(r) = 17*r + 17. Let p(o) = 11*o + 11. Let u(n) = -5*k(n) + 8*p(n). Calculate the remainder when 77 is divided by u(8).
23
Suppose 4*v - v - 72 = 0. Let l be (-115)