the remainder when q is divided by 27?
23
Suppose -65447 = -160*b + 18873. What is the remainder when b is divided by 23?
21
Suppose 3*w + 4*h = 41, 6744 - 6736 = 4*h. Let d = 34 + 18. Calculate the remainder when d is divided by w.
8
Let g be (10/1)/((-2)/(-2)). Let z = 10182 + -10138. Suppose k + g - z = 0. Calculate the remainder when k is divided by 10.
4
Suppose 639 = -6*q + 711. Suppose -3*s = 2*p - 288, -q*s + 8*s - 3*p = -383. What is the remainder when s is divided by 6?
2
Suppose -q - 8 = -2*j, 4*q - 11 = -j + q. Suppose -3*y + y + 2*z + 14 = 0, -4*y - j*z = -55. What is the remainder when 4/(-80)*-12 - (-764)/y is divided by 20?
17
Let l(n) = 11*n**3 + 61*n**2 + n + 32. Let k(c) = -5*c**3 - 31*c**2 - c - 15. Let i(s) = 5*k(s) + 2*l(s). What is the remainder when 372 is divided by i(-11)?
20
Let b = 41477 + -25122. Calculate the remainder when b is divided by 116.
115
Suppose -2*j = -4*j - 16. Let f = 7 - j. What is the remainder when (-22032)/(-1944) + (-47)/(-3) is divided by f?
12
What is the remainder when 564 is divided by ((-2214)/81)/((-4)/12)?
72
Suppose 4*o = -340 + 436. Suppose -5*p = -3*u - u + 217, -2*u + 121 = -5*p. Calculate the remainder when u is divided by o.
0
Let r(p) = 39*p**2 - 259*p + 1060. Calculate the remainder when r(4) is divided by 96.
72
Suppose 0 = -20*o + 23*o. Let w be (-22)/(-11)*(-40 - o). Let i = -67 - w. Calculate the remainder when 51 is divided by i.
12
Suppose -4*v = 2*s - 5208, -s = -v - 116 - 2491. Calculate the remainder when s is divided by 16.
14
Let o = 1875 - 1860. Let z(l) = 2*l**2 - 9*l + 12. Let n = -9 - -17. Calculate the remainder when z(n) is divided by o.
8
Let q(s) = -s**2 - 4*s + 5. Let w be q(-5). Suppose w = -214*p + 215*p - 157. Calculate the remainder when p is divided by 5.
2
Let w(s) = -s**2 + 3. Let v be w(0). Let h be (228/(-171))/(2/(-6)). Suppose -32 = -4*z + 3*z - v*y, 20 = h*y. Calculate the remainder when 49 is divided by z.
15
Let u = -121 - -58. Suppose 61 = 6*k + 265. Let h = k - u. Calculate the remainder when h is divided by 10.
9
Let q = 8 - 10. What is the remainder when q - -9 - (-2)/(-2) is divided by (-96)/18 - -6 - 35/(-15)?
0
Let l = 81 - 24. Suppose -40 - 26 = -33*p. Suppose -p*v = v - l. Calculate the remainder when 33 is divided by v.
14
What is the remainder when 737 is divided by ((-6)/14 - 68/70)*-85 + 5?
117
Let s = 539 - 443. What is the remainder when (6 - -1686)/12*4/3 is divided by s?
92
Let i(g) be the first derivative of -13*g**2/2 - 6*g - 2. Let h be i(3). Let v = h - -50. What is the remainder when 39 is divided by v?
4
Let u be ((-10)/15)/(3/(-9)) + 0. Suppose -d + 3 = 0, -u*d = -t - 3 - 0. Suppose 0 = -t*p - 0*p + 171. Calculate the remainder when p is divided by 20.
17
Let x(t) = -t**3 - t**2 - 3. Let k = -12 + 17. Suppose 13 = 2*s - k. What is the remainder when x(-3) is divided by s?
6
Let b(o) = 4*o**3 - 260*o**2 - 533*o - 148. What is the remainder when 691 is divided by b(67)?
2
Suppose 569*z + 3412 = 634*z - 3738. Calculate the remainder when 4949 is divided by z.
109
Let s(d) = -13*d + 92. Let w be (-9 - -14) + 2 + -3. Calculate the remainder when 123 is divided by s(w).
3
Suppose -2*b - 7*c + 65 = -6*c, b - 2*c - 35 = 0. Calculate the remainder when 1800/8 + -3 + 6 is divided by b.
30
Let i(t) = -t**3 - 4*t**2 - 4*t - 1. Let j(m) = 21*m + 56. Let p be j(-4). Calculate the remainder when i(-4) is divided by ((-7)/(-4) + -5)/(7/p).
2
Let w = 1882 + -216. Suppose -36*i = -53*i + w. What is the remainder when i is divided by 34?
30
Suppose -140*r = -87*r - 16960. Calculate the remainder when r is divided by 65.
60
Suppose 10 + 20 = o. Let c be (4/(-7))/((190/133)/(-10)). Suppose 28*j = c*q + 24*j - 584, -j + 1 = 0. What is the remainder when q is divided by o?
27
Suppose 7*c - 8*c = -6*c + 325. Calculate the remainder when 1879 is divided by c.
59
Let p(k) = -k**3 + 88*k**2 - 84*k + 108. What is the remainder when p(87) is divided by 16?
1
Let t be 30/(-20)*-2*(-4)/(-6). Suppose -t*h + 6 = 4*h. Suppose 0 = 2*w - 5*x + h - 10, 3*w - 61 = -2*x. Calculate the remainder when 30 is divided by w.
13
Let t(r) be the second derivative of -1/2*r**2 + 13/6*r**4 + 22*r + 1/3*r**3 + 0. What is the remainder when t(2) is divided by 27?
26
Let g = 101 + -105. Calculate the remainder when 2/g*4472/(-26) is divided by 11.
9
Let u(f) = -f**3 + 14*f**2 + 74*f + 89. What is the remainder when u(17) is divided by 161?
158
Let p be (4 + (2 - (5 - 3)))*1. Suppose r - p*b = -2*r - 2, -5*b + 14 = 2*r. Suppose -29 = -r*o + 3. What is the remainder when 43 is divided by o?
11
Suppose 4*o = -12, -4*r + 9*r + 5*o = -5. Suppose 228*g - 363*g = 669*g - 42612. What is the remainder when g is divided by r/(-3) - 264/(-18)?
11
Let m(q) = -3*q**3 - 22*q**2 - 9*q + 10. Let z be m(-7). Calculate the remainder when -6*16/z - -108 is divided by 36.
32
Let d(w) = 6*w - 37. Let v be d(7). Suppose 4*s + 13 = -i + 2*i, -5*i = -25. Calculate the remainder when 74 is divided by 15 + (v - (s + 3)).
17
Let v = -322 - -477. Suppose 56 = -v*p + 162*p. Suppose 0 = -2*o + 2*s + 100, 5*s = -0*o - 4*o + 245. What is the remainder when o is divided by p?
7
Let q(r) be the first derivative of 3*r**2/2 + 90*r - 2. Suppose 0 = -6*x + v - 53 - 44, -3*x = 4*v + 71. What is the remainder when q(x) is divided by 21?
18
Suppose 3858 = 29*u - 550. What is the remainder when u is divided by 41?
29
Let m be ((-102)/4)/(9/(-12)). Let i = m - 34. What is the remainder when (i - 3)/(1*(-5)/30) is divided by 4?
2
What is the remainder when 2055 is divided by ((-221)/51 + -3 + -3)*-99?
9
Suppose 0 = 21*l - 1941 - 10344. What is the remainder when l is divided by 4?
1
Let g(v) = 2*v - 26. Let z be g(8). Let x be (-248)/(-20) + 4/z. Calculate the remainder when (-1)/(x/(-806)) - (-1)/(-6) is divided by 35.
32
Suppose -88*u - 34861 = -90*u - 5*f, 69686 = 4*u - 2*f. Calculate the remainder when u is divided by 176.
175
Let b(m) = -450*m - 6093. What is the remainder when b(-14) is divided by 125?
82
Let b = 8 - 4. Suppose f + 7*w - 19 = 11*w, 4*f + 4*w + 4 = 0. Suppose 0 = t + f*q - 235, q = b*t - 0*t - 888. What is the remainder when t is divided by 15?
13
Suppose j = 171 + 45. Let p = -193 + j. What is the remainder when 128 is divided by p?
13
Let f(g) = -7*g**3 - 6*g**2 - 2*g. Suppose -36 + 6 = -6*u. Suppose -u*d - 3*p + 2 = -0*p, -5*d + 6 = 4*p. Calculate the remainder when 107 is divided by f(d).
35
Let s = 2519 + -2515. Calculate the remainder when 297 is divided by s.
1
Let m be (-4)/(-18) - (-476)/126. Suppose 10*o - m*o = -4*o. Suppose -3*k + 33 + 0 = -5*p, o = 2*k + 2*p - 22. What is the remainder when 18 is divided by k?
7
Calculate the remainder when 54/(5 + -14) + 74 is divided by 2/4 + (-45)/(-2).
22
Suppose 5*v = 4*x - 180, -x + 0*v - v = -45. Let l = -23 - -68. Let f = l - 33. What is the remainder when x is divided by f?
9
Let n(m) be the third derivative of m**5/15 - m**4/24 + m**3/3 - 13*m**2. Calculate the remainder when n(-2) is divided by 8.
4
Let p(m) = -12*m**3 + m**2 + 15*m**3 + 2*m**3 + 2 + m. Calculate the remainder when p(2) is divided by 13.
9
Let i(g) = g**2 - 37*g - 168. What is the remainder when 376 is divided by i(42)?
40
What is the remainder when -10 - (-1 + 4 - 176) is divided by 648/30 + (36/15)/(-4)?
16
Let y = 167 + -160. Suppose 390 = -d + y*d. What is the remainder when 251 is divided by d?
56
Suppose 371680 = 43*b + 187*b. Calculate the remainder when b is divided by 204.
188
Suppose 2*r + h + 13 = -0*h, 3*h + 9 = 0. Let x(n) = -n**3 - 7*n**2 - 10*n - 2. Let o be x(r). Let c = 77 - o. What is the remainder when c is divided by 21?
16
Suppose 5*n + x = -346, -3*n + 2*x = 5*x + 210. Let l = -31 - n. Let z = 4823 + -4800. Calculate the remainder when l is divided by z.
15
Suppose -4*o + 228 = 72. Let m(t) = -6*t**2 - 1277*t - 14272. Calculate the remainder when m(-12) is divided by o.
32
What is the remainder when 883 is divided by (-2 - 3/(-21))*(-17 + 2 + 8)?
12
Let n be (335/2 + -1)/((-189)/(-378)). Suppose 2*v + 262 = 4*d, 3*v = -3*d - 2*d + n. Calculate the remainder when 108 is divided by d.
42
Let k(i) = i**3 + 13*i**2 + 11*i - 9. Let x be k(-12). Suppose x*p - p - 4 = 0. Suppose -9*w = -57 - 42. What is the remainder when w is divided by p?
1
Let s(y) 