9.
0
Let u be (-4)/(-26) + 100/26. Suppose 69 - 29 = 5*m - 4*r, 2*r + 32 = u*m. What is the remainder when 45 is divided by m?
5
Suppose -2*z = -2*g + 76 - 300, 0 = 4*g - 5*z + 445. Let m = -9 - g. Calculate the remainder when m is divided by 36.
34
Let x(k) = 9 - k**2 + 29*k + 2*k**2 - 11*k + 2. Let p be x(-9). Calculate the remainder when (-4 + 1)/3*p is divided by 24.
22
Suppose b = -3*y + 5, 0 = -5*y + 4*b + 12 + 2. Suppose y*p - 36 - 37 = -3*c, -98 = -2*p + 2*c. What is the remainder when 85 is divided by p?
41
Suppose 0*b + 5*o = b + 25, 0 = 5*b + o - 5. Suppose -6*v = -b*v - 72. What is the remainder when 57 is divided by v?
9
Suppose l - 7 - 2 = 2*u, -5*u - 5 = l. What is the remainder when 72/l*((-40)/(-12))/1 is divided by 17?
14
Let v = 9 + 9. Calculate the remainder when v is divided by (-19)/(-5) - (3/(-15) - 0).
2
Let a(q) = q**3 - 6*q**2 + 6*q + 4. Let w be a(4). What is the remainder when w/(-36)*6*123 is divided by 14?
12
Let k(g) = 2*g**3 - 4*g**2 - 7. Let v = 80 - 77. Let f = -3 - -10. What is the remainder when k(v) is divided by f?
4
Let s be ((-3)/6)/(2/(-8)). Calculate the remainder when 16 is divided by s/17 + (-200)/(-34).
4
Let n(p) = -11*p - 161. Calculate the remainder when 256 is divided by n(-17).
22
Let b(m) = 19 + 9 - 10*m + m**2 + 12*m. Calculate the remainder when b(-13) is divided by 43.
42
Let m(u) = 0*u + 1 + 2*u - 11*u - 11*u. Suppose -5*a = 4*b - 57, -4*b - 2*a = -0*a - 42. What is the remainder when m(-1) is divided by b?
5
Let q = 334 + -20. Calculate the remainder when q is divided by 63.
62
Let x(k) = -187*k + 214. Suppose 2*n - 18 = 3*y - 5*y, 0 = -y - 3*n + 13. Calculate the remainder when x(1) is divided by y.
6
Suppose -9*d = -0*d + 198. Let r = 58 + d. Calculate the remainder when r is divided by 19.
17
Let w = 1319 + -1257. What is the remainder when 243 is divided by w?
57
Let w(o) = 32*o**3 + 2*o**2 - 1. What is the remainder when ((-132)/(-693))/(6/(-423))*-7 is divided by w(1)?
28
Let y(a) be the third derivative of -a**4/24 + 10*a**3/3 - 11*a**2. Calculate the remainder when 76 is divided by y(-6).
24
Suppose 4*l - 5*i = 953, 8*i = 4*l + 10*i - 918. Calculate the remainder when l is divided by 27.
16
Suppose -2*j - 7*j = -450. Calculate the remainder when j is divided by 15.
5
Let n(v) = 3*v - 7. Let t be n(6). Let u = 24 - t. Suppose 3*i - u = -0*j - 5*j, 3 = -j + 5*i. Calculate the remainder when 5 is divided by j.
1
Suppose -3*z = 5 - 2. Let p = z + -20. Calculate the remainder when 21 is divided by ((-36)/p)/(1/7).
9
Let v(h) = -11*h**2 + 23. Let a(q) = -12*q**2 - q + 24. Let z(l) = 5*a(l) - 6*v(l). Calculate the remainder when 253 is divided by z(-3).
49
Let z = 62 - -80. Calculate the remainder when z is divided by 88.
54
Calculate the remainder when 69 is divided by (-64)/(-12)*(-75)/(-10).
29
Suppose -n = 5*t - 170, 5*n = 4*t - 2*t - 95. Suppose -4*x = -5*z + 56, 44 = 4*z - 3*x - 0. What is the remainder when t is divided by z?
3
Calculate the remainder when -3 + (-16)/4 + 12 is divided by 3.
2
Let z = 198 + -186. Calculate the remainder when 40 + 1 + 6/3 is divided by z.
7
Let i = 2315 + -1213. Calculate the remainder when i is divided by 6.
4
Let b = 74 - 52. Suppose -14*f = -12*f - 140. Suppose -71*d + 41 = -f*d. What is the remainder when d is divided by b?
19
Suppose 164 + 1978 = 7*r. Suppose -x + 75 = 2*g, 4*x + 2*g + 3*g - r = 0. What is the remainder when x is divided by 20?
19
Calculate the remainder when (-4)/3*22176/(-64) is divided by 15.
12
What is the remainder when 72 is divided by 16/(-6) - 1696/(-96)?
12
Let r = 52 + -54. What is the remainder when (r - (2 - 3))*(-112)/4 is divided by 15?
13
Suppose 16*k = 13*k. Suppose -6*m + 375 + 159 = k. What is the remainder when m is divided by 18?
17
Calculate the remainder when 899 is divided by 2/(0 + -6 - (-741)/123).
79
Let m(u) be the second derivative of u**4/4 - u**3/6 + 3*u**2 - 13*u. Calculate the remainder when 142 is divided by m(-3).
34
Let a = 95 - 18. Suppose 0 = -j + 17 + 5. Calculate the remainder when a is divided by j.
11
Let d = -292 - 209. What is the remainder when 24/(-42) + d/(-7) is divided by 12?
11
Let m be -1 + 5 + 0/6. Suppose -x + y = -75, m*x + 3*y - 294 = y. Calculate the remainder when x is divided by (-116)/(-6) - 1/3.
17
Suppose 3*h + 364 = 4*a - 0*h, a - h = 91. Let f = -58 + a. What is the remainder when f is divided by 6/(-2)*(-1 - 5)?
15
Let g(h) = h**2 - h + 2. Calculate the remainder when 27 is divided by g(4).
13
Let n(p) = -5*p**2 + 45*p + 10. Calculate the remainder when 181 is divided by n(7).
21
Let k = 39 + -39. Calculate the remainder when (92/(-4) - k)*-2 is divided by 8.
6
Suppose 0 = 4*r + 6*p - 11*p - 114, p - 33 = -r. Calculate the remainder when 73 is divided by r.
11
Let l(a) = -65*a - 23. Calculate the remainder when l(-2) is divided by 36.
35
Let g(d) = -2*d + 9*d - 3 + 2*d + d**2 + 5*d. Let u be g(-13). What is the remainder when 34 is divided by (u/6)/(14/(-63))?
10
Let m(v) = -6*v - 2. Let l be m(-1). Calculate the remainder when (2 - (-1 - 3))*l is divided by 10.
4
Let c = -19 + 72. Suppose -2*k - 5*t = 2*k - 10, -16 = -4*k - 2*t. What is the remainder when c is divided by (28 + -2)/2 - (k - 6)?
11
Suppose -14 - 19 = -5*b + 4*o, b + 5 = -5*o. Suppose -5*r + 5 = -b. Let m = -175 - -179. What is the remainder when m is divided by r?
0
Calculate the remainder when (-37)/((-111)/324) - 6 is divided by 22.
14
Let c = 2106 + -1821. Calculate the remainder when c is divided by 41.
39
Let o = -657 + 382. Let i = 525 + o. Suppose 60 = -5*p + i. Calculate the remainder when p is divided by 13.
12
Suppose 3*p + 5*x - 29 = 0, 2*x + 8 = 4. Let o = -18 + 71. Suppose -4*c + o = -147. Calculate the remainder when c is divided by p.
11
Let k = 6 - 7. Let f = 2 + k. What is the remainder when 9 is divided by 2 - (-4 - (-2 + f))?
4
Let t(l) = 22*l - 71. What is the remainder when t(4) is divided by ((-20)/(-8))/((-2)/(-8))?
7
What is the remainder when 140 is divided by (-2 - -1)/((-23)/253)?
8
Suppose 4*j + 6 = 7*j. Let h(d) = 16*d - 18. Calculate the remainder when 69 is divided by h(j).
13
Suppose 276*g - 274*g = 146. What is the remainder when g is divided by 15?
13
Let c be ((-3)/4)/((-3)/12). Suppose -5 = -c*t - 3*s + 34, -2*t + 4*s = -26. Let f = t - 7. Calculate the remainder when 20 is divided by f.
2
Let l = -447 + 625. What is the remainder when l is divided by 85?
8
Let q = -102 - -124. What is the remainder when 57 is divided by q?
13
Suppose -f + 50 = 4*f. Suppose 2*n - 58 = 2*b - 5*b, -5*b = -f. What is the remainder when (-4)/(2 - (-104)/(-51)) is divided by n?
24
Let a(q) = 8*q - 27. Let m be ((-48)/7)/(-4)*7. What is the remainder when a(m) is divided by 35?
34
Let v = 123 + -224. Let h = v + 164. Suppose 3*y + 4*q - h = 0, -y + 3*y + 2*q - 40 = 0. What is the remainder when 48 is divided by y?
14
Let q(h) = 5*h**3 - h. Suppose -3*b + 13 = 4*j - 46, -5*b + 110 = -5*j. Suppose b = 2*u - 5. Calculate the remainder when u is divided by q(1).
1
Let q be (-6 + 102/24)/((-2)/8). Suppose 20 = o + 3*o. Calculate the remainder when q + (-8 + 3)*1/(-5) is divided by o.
3
Suppose 29*f - 3*f - 4628 = 0. Calculate the remainder when f is divided by 26.
22
Suppose 4*w - 44 + 16 = 0. What is the remainder when 143 is divided by w?
3
Let t = 205 + 87. What is the remainder when t is divided by (-4016)/(-96) + 2/12?
40
Let g = -88 + 91. What is the remainder when 21 is divided by g?
0
Suppose 71*j - 2691 - 1214 = 0. What is the remainder when 1373 is divided by j?
53
Let b(j) = 3*j**3 - 16*j**2 - 13*j + 114. Calculate the remainder when b(6) is divided by 55.
53
Calculate the remainder when (-4)/(-24) + 6260/24 is divided by 38.
33
Suppose -88 = 213*k - 214*k. What is the remainder when k is divided by 38?
12
Let m(n) = n - 1. Let o be m(6). Suppose 249 - 84 = o*b. Suppose 2*h + 0*h - 126 = 0. What is the remainder when h is divided by b?
30
Let s(m) = m**3 + 10*m**2 - 2*m - 13. What is the remainder when 4/5 + 497/35 is divided by s(-10)?
1
Suppose 2*q = -7*x + 442, -4*x + 2*x = 2*q - 122. Calculate the remainder when 380 is divided by x.
60
Let c be (-1)/2 - 90/(-20). Suppose -n + 164 = -0*n - 3*a, c*n - 5*a - 628 = 0. Suppose -154 = -3*j + n. What is the remainder when j is di