0. What is the remainder when u is divided by 14?
8
Let d be -1 - (-3 - -4)*-3. Suppose -2*q + 50 = d*w, -4*q + 60 = 2*w - 6*w. What is the remainder when 97 is divided by q?
17
Suppose -6*l + 2*l = -4*o - 280, -4*l + 304 = 4*o. Let b be ((-18)/4)/(-9)*-14. Let u(d) = -d**2 - 8*d + 12. Calculate the remainder when l is divided by u(b).
16
Let l(h) = 8*h**2 - h + 6. Let k(w) = 16*w**2 - 2*w + 13. Let b(c) = -6*k(c) + 13*l(c). Calculate the remainder when 24 is divided by b(-1).
6
Suppose 0 = 2*d - 30 - 12. Suppose -o + 47 = u - 5*u, 0 = 5*o + 2*u - 191. What is the remainder when o is divided by d?
18
Let d(m) = 5*m**2 + 4*m - 3. Suppose -3*o = 10*a - 109 - 135, 0 = 4*a + 4*o - 92. Calculate the remainder when d(-4) is divided by a.
11
Let d = 640 - 429. Calculate the remainder when d is divided by 73.
65
Suppose -838*u + 400 = -828*u. What is the remainder when 1518 is divided by u?
38
Let w(n) = n**2 + 15*n - 17. Let s be w(-15). Let j(g) = -3*g - 43. What is the remainder when 18 is divided by j(s)?
2
Let b(n) = n**2 - 13*n - 43. Suppose -u + 18 = -2*r - 0, 2*u - 5*r - 38 = 0. What is the remainder when b(17) is divided by u?
11
Let z = 66 + -46. What is the remainder when 67 is divided by z?
7
Suppose 123 = 28*s - 101. Suppose -2*m = 5*q - 31 - 16, 3*q = -3*m + 93. What is the remainder when m is divided by s?
4
Let h = 1428 - 1170. What is the remainder when h is divided by 87?
84
Calculate the remainder when 145 is divided by (-4)/(-10) - 16697/(-295).
31
Suppose 0 = 16*x - 8*x - 1664. What is the remainder when x is divided by 36?
28
Let w(z) = -z**2 - 24*z - 91. What is the remainder when (-5 + 7)*(1 + 15) is divided by w(-6)?
15
Calculate the remainder when 4/((-18)/117*-1) is divided by 6.
2
Suppose -5*h = -0*h - 25. Suppose -5*s + y - 1 = -16, -2*s = h*y + 21. Calculate the remainder when 26/4 + 0 - (-1)/2 is divided by s.
1
Suppose -4*w = -0*w - 24. Suppose -w*p + p + 35 = 0. Calculate the remainder when 27 is divided by p.
6
Let v(z) = z**3 + 8*z**2 + 4*z + 2. Let s = -5 - 0. Calculate the remainder when v(s) is divided by 29.
28
Let g = -1064 - -1152. Calculate the remainder when 238 is divided by g.
62
Suppose 70 = 2*o - 2*t - 406, 5*o + 2*t - 1211 = 0. What is the remainder when o is divided by 42?
31
Let b(u) = u - 6. Let q be b(3). Let d = 9 - q. What is the remainder when 43 - (-2 + 2 - 2) is divided by d?
9
Let y(d) = -9*d - 39. Suppose 5*i - 3*n = -40, 4*n - 15 = 2*i - 3*i. What is the remainder when ((-3)/(-3))/(i/(-220)) is divided by y(-6)?
14
Suppose 0 = 2*m + 10, 0*c + 2*c - 5*m = 51. Suppose -2 = -8*i - 34. Calculate the remainder when ((-98)/i)/(4/8) is divided by c.
10
Calculate the remainder when 44 is divided by (86 + -84)*(-2 + 23/2).
6
Let s(o) = -4*o + 28. Let h be s(7). Suppose 5*i + 2 = -d + 9, 2*i + 2 = h. What is the remainder when d is divided by 5?
2
Let o = 37 - 21. Suppose 4*z - 38 = f, -f - 2*f - 24 = -2*z. Calculate the remainder when o is divided by z.
7
Suppose 3*a - 111 = 5*a - 3*u, u = 3*a + 163. Let j = 80 + a. Suppose 2*t = -0*t + j. Calculate the remainder when 24 is divided by t.
11
Let d = -219 + 238. What is the remainder when 642 is divided by d?
15
Suppose -3*f + 8*f + 60 = 5*l, 4*f = -3*l + 8. What is the remainder when 28 is divided by 24/(-9)*(-18)/l?
4
Let z(m) = m**3 - m**2 + 9*m - 6. Let u be z(4). Let c = u - 76. What is the remainder when 7 is divided by c?
1
Calculate the remainder when -7*(8/14 + (-1701)/147) is divided by 8.
5
Suppose c + 35 = -i + 105, 0 = c + 5*i - 58. Calculate the remainder when c is divided by 11.
7
Let y be (0 - 34/(-4))*(-42)/(-21). Suppose 20*c = y*c + 57. What is the remainder when c is divided by 30/4 + 1/(-2)?
5
Suppose b + 0*b + 4*g = -14, -3*g = 0. Let r = b - 49. Let d = r + 109. What is the remainder when d is divided by 8?
6
Let s(j) be the second derivative of -j**3/2 + 18*j**2 + 39*j. Calculate the remainder when 39 is divided by s(5).
18
Suppose 50*w + 1396 = 52*w. Calculate the remainder when w is divided by 20.
18
Calculate the remainder when 165/66*472/10 is divided by 37.
7
Let u = -124 - -254. Calculate the remainder when u is divided by 22.
20
Let w = 57 - 51. Let b(c) = 2*c**3 - 12*c**2 + 5. Calculate the remainder when 38 is divided by b(w).
3
Let o(p) = -2*p + 2. Let y be o(1). Suppose 2*i + 0*i + 4*a - 18 = 0, -3*i - 4*a + 25 = y. Calculate the remainder when 25 is divided by i.
4
Suppose -s - 59 + 148 = -4*c, 5*c + 89 = s. What is the remainder when 101 is divided by s?
12
Suppose 0 = -3*h - n + 35, -h + n + 14 - 1 = 0. Let o = 1 + 21. Let r = 24 + o. What is the remainder when r is divided by h?
10
Suppose 36*g - 28*g = 96. What is the remainder when 137 is divided by g?
5
Suppose 5*v - 3*v = 0. Suppose -x - 5*k - 14 = 0, -3*x - 5*k - 2 + v = 0. What is the remainder when 11 is divided by x?
5
Let h(l) = -15*l + 2 + 3*l**2 + 39*l - 20*l. Suppose 5*r - 239 = 3*x, -5*x = r - 7 - 52. What is the remainder when r is divided by h(-3)?
15
Suppose -p + 16 = 3*p. Suppose -z + 15 = p*z, -21 = -2*y - z. Suppose b = -3*i + 76, 1909*i = 1913*i + 2*b - 100. What is the remainder when i is divided by y?
8
Let l(o) = 28*o**2 + 75*o + 3. What is the remainder when l(-4) is divided by 46?
13
Let f(b) = 122*b - 29. Calculate the remainder when f(4) is divided by 11.
8
Let h = -114 - -111. Suppose -4 + 31 = r. What is the remainder when r is divided by (-15)/((-8)/((-16)/h))?
7
Let w = -13 - -21. Suppose 0 = 121*v - 156*v + 1241 + 194. What is the remainder when v is divided by 122/8 + (-2)/w?
11
Let v be 6/(-14) + 241/7. Let n = v - 3. Suppose 0 = 3*y + 8 - 377. What is the remainder when y is divided by n?
30
Let c be 1/2*-127*(8 - 6). Let n = c + 147. Let r = -12 + 20. What is the remainder when n is divided by r?
4
Suppose -c + 28 = 5*j, 2*j = -0*j + 2. What is the remainder when -2*3/6 - -67 is divided by c?
20
Let c(j) = 10*j - 2. Let q = 29 + -27. Calculate the remainder when c(3) is divided by 21/2 - 1/q.
8
Let s(v) = -16*v**2 - 128*v + 17. Calculate the remainder when s(-8) is divided by 10.
7
Suppose -6 = -4*a + 3*a. Suppose -3*w + 15 = -a. Let m(c) = c**3 + 6*c**2 + c + 5. Calculate the remainder when m(-5) is divided by w.
4
Let h(d) = 4*d**2 - 31*d + 55. Suppose 2*q = v - 7, 3*q + v = 4*v - 12. What is the remainder when (q/9)/((-2)/150) is divided by h(2)?
7
Calculate the remainder when (3/4)/((-45)/195)*-20 is divided by 33.
32
Suppose -25*r = -29*r + 116. What is the remainder when 200 is divided by r?
26
Let z be 1 + 3549/9 - (-2)/(-6). Suppose z = 19*v - 14*v. What is the remainder when v is divided by 20?
19
Let n(b) = 2*b + 54. Calculate the remainder when n(-4) is divided by 31.
15
Let l = 0 - 6. Let o(d) = -6*d**2 - 21*d - 4. Let y(g) = -2*g**2 - 7*g - 1. Let v(i) = -4*o(i) + 11*y(i). What is the remainder when v(l) is divided by 19?
16
Suppose 3*c = p - 48, -4*p = c - 61 - 131. Suppose -7 = -3*w + 5. Suppose -v + 7 = -2*b, -2*v - 2*v = -w*b - p. Calculate the remainder when 49 is divided by v.
15
Suppose 0 = 7*j - 6*j - 9. Let x be 24/16*(1 + 1). Suppose 0 = -3*v, x*z = -v + 201 - 72. Calculate the remainder when z is divided by j.
7
Suppose -6*f + f = 0, -4*w = 3*f - 504. Suppose 0*u + 7*u - w = 0. What is the remainder when u is divided by 6?
0
Suppose 824 = 3*y - b, -4*b - 160 - 100 = -y. What is the remainder when y is divided by 9?
6
Suppose -5*d - o + 25 = 0, -5*d - 5*o + 29 = 4. Suppose -5*l + 14 = 4, -5*x + d*l - 600 = 0. Let c = x - -225. What is the remainder when c is divided by 27?
26
Let f(y) = y**2 - 4*y + 6617. Let x be f(0). What is the remainder when x/91 + 4/14 is divided by 37?
36
Suppose -2*t + 5*n + 212 = 42, -425 = -5*t - 4*n. Calculate the remainder when t is divided by 175/4 - ((-33)/(-12) + -3).
41
Suppose -4*k + 5*o + 380 = 0, 4*k + o = -0*k + 356. Let s = k + -63. Calculate the remainder when s is divided by 10.
7
Let p(h) be the second derivative of h**4/6 - 7*h**3/6 + 7*h**2/2 + h. What is the remainder when 87 is divided by p(5)?
21
Let u = -31 - 50. What is the remainder when 23 is divided by (-1)/(-7) + u/(-21)?
3
Suppose -184*j + 190*j - 1428 = 0. Calculate the remainder when j is divided by 116.
6
Suppose 0 = -5*r + 3*n + 37 + 19, 3*r - 42 = -n. Suppose 62 = 2*m - 2*b, -3*b - 9 = -6*b. Wha