ainder when 54 is divided by p(n)?
12
Suppose -2*f + 3*c = 2*f - 31147, -4 = 4*c. Suppose 0 = 23*b - 6*b - f. What is the remainder when b is divided by 16?
10
Let q(y) = -7*y**2 - 24*y + y**2 + 4*y**2 + 0*y**2 + 134. What is the remainder when q(-14) is divided by 19?
2
Suppose 0 = -5*b + 5*k + 850, 4*k + 505 = 4*b - b. What is the remainder when b is divided by (-7 + 46/(-14 + 16))/2?
7
Suppose 60*d - 58*d + 62 = z, 0 = 3*z + 5*d - 208. What is the remainder when 4619 is divided by z?
65
Let c be (18/(-3))/(-2) - 95. Let w = 160 + c. Suppose -2*y + w = 26. What is the remainder when y is divided by 8?
5
Suppose -419 = -3*t + 205. Suppose -2*d = 3*i + 3*d + 317, 2*i + t = -4*d. Let c = i - -154. What is the remainder when 155 is divided by c?
35
Let t be 16/(-72) + 0 + 580/18. Let x = t - 28. Suppose 5*d - 210 = -5*q, x*q + 195 = 4*d - q. What is the remainder when 133 is divided by d?
43
Let p be -1 + 3 + (-1 + 7)/6. Let g(d) = d**2 - 3*d + 1. Let n be g(3). Suppose -w + n = -p. Calculate the remainder when 13 is divided by w.
1
Let p(w) = w**3 + 10*w**2 + 10*w. Let f be p(-7). Let l = f - 61. What is the remainder when 335 is divided by l?
15
Let r be 96/(-256) + 746/(-16). Let y = r + 110. Suppose -11 - 21 = -b. Calculate the remainder when y is divided by b.
31
Let p(z) = z**3 - 6*z**2 - 11*z - 11. Let f be p(8). Suppose f*u = 20*u + 1611. Calculate the remainder when u is divided by 46.
41
Let z(x) = -21*x + 58. Let j be z(-15). Let y = 490 - j. What is the remainder when y is divided by 30?
27
Suppose 4*w + 4*z - 664 = 0, 9*z = 4*w + 11*z - 662. Calculate the remainder when 9734 is divided by w.
164
Suppose -4*p = -2*p - 4. Suppose -2039 = -4*m + h, 7*m - 1535 = 4*m - 5*h. Let n = m + -508. What is the remainder when p is divided by n?
0
Suppose -468 + 160 = -4*h. Let y = h + -77. Suppose y = -4*g + 76 - 0. Calculate the remainder when g is divided by 10.
9
Suppose 0 = w + 4*b - 6, w + 69*b - 6 = 68*b. Calculate the remainder when 447 is divided by w.
3
Let y(x) = 12*x**2 + 32*x + 27. Let c(u) = -6*u**2 - 15*u - 14. Let l(q) = -13*c(q) - 6*y(q). Calculate the remainder when l(-4) is divided by 35.
34
Suppose -3*t + 752 = -4*u, 4*t + 14*u - 16*u = 1016. Let h = 33 - -19. Calculate the remainder when t is divided by h.
48
Let l = 2549 + -1647. What is the remainder when l is divided by 101?
94
Suppose 0 = -340*h + 328*h + 142248. What is the remainder when h is divided by 8?
6
Let v be (-22)/(-2) + 66/(-26 + 15). Suppose -3*y - 5*a + a + 146 = 0, 0 = y + 2*a - 52. Suppose 2*u - v*u = -y. What is the remainder when 80 is divided by u?
10
Let j = -23 + 33. Suppose -j*m = -14 - 16. Suppose -d = -0*a + 5*a - 22, -m*a - 3*d = -18. What is the remainder when 5 is divided by a?
1
Let r be 6 + (-945)/7 - -7. Let v = 166 + r. Calculate the remainder when 307 is divided by v.
43
Let o = 407 + -160. Let b(z) = 120*z + 63. What is the remainder when o is divided by b(0)?
58
Let c(j) = -2*j**3 - 11*j**2 + 7*j - 25. Let l(a) = a**3 + 5*a**2 - 4*a + 13. Let q(x) = 6*c(x) + 13*l(x). Calculate the remainder when q(3) is divided by 2.
1
Suppose -3*c = -4*o - 613, -c - 13*o + 10*o + 174 = 0. What is the remainder when c is divided by 14?
13
Let u(a) be the second derivative of 11*a**4/6 - a**3/6 - 6*a. Suppose 7*n + 63 - 847 = 0. Calculate the remainder when n is divided by u(-1).
20
Suppose 7*m - 2 + 30 = 0. What is the remainder when 28 is divided by (m/(-5))/((-76)/(-190))?
0
Let h(o) = -21*o + 50. Let u be h(0). Calculate the remainder when u - ((-70)/(-7) + 1 + -5) is divided by 16.
12
Suppose c + 5 = 0, -6*v - 2*c + 71 = -5*v. Let r = -83 + v. Calculate the remainder when 164 is divided by (r + 0)/((-5)/70).
24
Calculate the remainder when 3165 is divided by ((8/16)/(3/18))/(27/207).
14
What is the remainder when 9/15*(12 + -25)*-310 is divided by 4?
2
Let z be (-22)/(-6) + 13/39. Suppose -26 = q + z. What is the remainder when (1 - 33/5)/(2/q) is divided by 24?
12
Let g(q) = 3*q**2 - 197*q - 31. What is the remainder when g(-6) is divided by 13?
11
Suppose -2*j - 31 + 21 = -3*z, 4*z = 5*j + 25. Let u be 1370/(-40) + (-1)/(-4). Let f = j - u. Calculate the remainder when f is divided by 16.
13
Suppose -118 = -2*f - m, -110 = -8*f + 6*f - 5*m. Calculate the remainder when 4449 is divided by f.
9
Suppose j = -5*l + 264, l - 1132 = -4*j + 38. Calculate the remainder when 16755 is divided by j.
291
Suppose -a - 64 = -w + 4*a, 5*a = -3*w + 52. What is the remainder when 34 is divided by w?
5
Let s(q) = 20*q - 130. Let o(k) = -10*k + 65. Let d(i) = 5*o(i) + 3*s(i). What is the remainder when 214 is divided by d(12)?
49
Let o(r) = -r**3 + r**2 - 12. Let t be o(0). Calculate the remainder when -7*(-1)/((-3)/t) is divided by (13 - 7)*(-5)/(-2).
13
Suppose 4*t - 48 = 168. Let w = t + -36. Let k = w - 11. Calculate the remainder when 33 is divided by k.
5
Let x = 9048 - 8997. Calculate the remainder when 573 is divided by x.
12
Suppose 7148 = -2*s + 7630. Calculate the remainder when 980 is divided by s.
16
Suppose 2*z + 1068 = 14*z. Let x = z + -68. Calculate the remainder when (-18)/12 - (-210)/4 is divided by x.
9
Suppose -2*s - 2*m = -20844, -4*s = -4*m - 28849 - 12895. What is the remainder when s is divided by 14?
13
Suppose 897*s = 932*s - 226275. Calculate the remainder when s is divided by 98.
95
Suppose -5*h + 1 = -4, -4*h = 4*a - 112. Suppose -z - 28 + 7 = 3*j, -2*j - 5*z = 27. Calculate the remainder when (-42)/(-4)*20/j*-3 is divided by a.
24
Let l = 18342 + -18223. What is the remainder when l is divided by 27?
11
Let w(t) = 3*t - 6. Let p be w(0). Let i be -2*1 - (p + 4). Suppose i = 4*s - 3*x - 6 - 18, -3*s + x = -13. What is the remainder when s is divided by 2?
1
Suppose 0 = z + 4*n - 228, -17*n - 472 = -2*z - 21*n. Calculate the remainder when z is divided by 109.
26
Let j(r) = -15*r - 7. Let w be j(-1). What is the remainder when (-2)/w + 436/16 is divided by 6?
3
Let o = -180 - -270. Let z be 2*3 - (-5 - -8). Suppose -3*t + 106 = 4*v - z, -5*t - 5*v + 175 = 0. Calculate the remainder when o is divided by t.
28
Let h(r) = -3*r**2 - 105*r + 775. What is the remainder when h(-34) is divided by 40?
37
Calculate the remainder when 9/45 + 9176/70 - 6/21 is divided by 74.
57
Suppose -4*c + 2303 + 91 = 3*p, 0 = -5*c - 2*p + 2989. What is the remainder when c is divided by 98?
9
Let n = -279 + 367. Calculate the remainder when 114 is divided by n.
26
Let h = -611 - -607. Calculate the remainder when 145 is divided by (-9)/h*1232/132.
19
Suppose 134 - 105 = x. Let g(u) = u**3 - 31*u**2 + 63*u + 8. Calculate the remainder when g(x) is divided by 14.
13
Let z be 5/20*8 + -335 + 1. Let a = 363 + z. What is the remainder when 65 is divided by a?
3
Calculate the remainder when 874 is divided by 325/(-455) + (-7944)/(-28).
25
Suppose -22509 = -72*u + 114219. What is the remainder when u is divided by 14?
9
Suppose 0 = -3*t + 449 + 1555. Calculate the remainder when t is divided by 26.
18
Let h(g) = 10*g + 223. Let j = -2 - -27. Calculate the remainder when h(-13) is divided by j.
18
Let z = -165 - -247. Suppose -6*y - 4 + z = 0. Calculate the remainder when 37 is divided by y.
11
Let l = 29873 + -29315. Calculate the remainder when l is divided by 557.
1
Suppose -5*l - 403 = -83. Calculate the remainder when 103 is divided by l/12*(-39)/26.
7
Calculate the remainder when -14 - -54 - 10/(-2) is divided by 14 + -2 - 0/(-3).
9
Suppose -3*i = -3*h - 93, 0 = i + 4*h - 24 - 7. Suppose -2*s + 28 = 217*z - 218*z, 2*z = -s + 29. Calculate the remainder when i is divided by s.
14
Calculate the remainder when 666 is divided by -17 + 2 - -13*3.
18
Let i(k) = k**2 - 2*k - 7. Let v be i(5). Suppose v*s + 168 = 12*s. Calculate the remainder when -305*(-4 + 90/25) is divided by s.
38
What is the remainder when 54 is divided by 77*2/5 - 8/10?
24
Let h = 18391 + -6778. Calculate the remainder when h is divided by 8.
5
Suppose -24 = -2*u + 3*i, u - 15 - 11 = 5*i. What is the remainder when 230 is divided by u?
2
Let b = 190 + -119. Suppose -2*g = 2*h - 40, -3*h + 3*g - 2 = -38. Suppose h = -5*z + 106. What is the remainder when b is divided by z?
17
Calculate the remainder when 495 is divided by -1*(83 + 0)*(-5)/(90/18).
80
Suppose -2718 = -5*v + 6*m, 0 = -5*v + 10*v + 5