. Let r = -45 + b. Calculate the remainder when r is divided by 11.
3
Let p be 2/6 - 1180/(-6). Suppose 3*j + 5*a = 92 + 13, 5*j - p = -a. Calculate the remainder when 2/(-6) - j/(-3) is divided by 7.
6
Suppose -d = 5*x - 37, 5*d - x = 46 + 9. Calculate the remainder when 78 is divided by d.
6
Let s(y) be the third derivative of y**5/60 - 11*y**2. Let a = -9 - -6. What is the remainder when s(a) is divided by 4?
1
Let w = -627 + 986. Calculate the remainder when w is divided by 90.
89
Suppose 0*m + m = 2*y - 52, 116 = 4*y + m. What is the remainder when 55 is divided by y?
27
Let k(h) = h**2 - 2*h - 4. Let i be k(3). Let s be i/(-12)*4*-21. What is the remainder when 34 is divided by (-2)/s + (-496)/(-28)?
16
Calculate the remainder when 7 is divided by 1*(0 - 4)*(-196)/112.
0
Let b(x) = -x**3 + 5*x**2 - 3*x - 5. Let m be b(6). Let s = 105 + m. What is the remainder when s is divided by (-4)/(-16) - 285/(-12)?
22
Let h = -29 + 51. Suppose 4 = d - b - 0*b, -2*d + 3*b = -7. Suppose d*a = 4*a + 86. Calculate the remainder when a is divided by h.
20
Let o = -65 - -62. What is the remainder when (o/6)/(4/(-784)) is divided by 20?
18
Calculate the remainder when 76 is divided by (-588)/(-42) + -3 + 9.
16
Suppose 12*a - 116 = 976. Calculate the remainder when a is divided by 8.
3
Let x(b) = b**3 - 13*b**2 - 1. Let g be x(13). Suppose 0*h - 4*h = -8. What is the remainder when (-3)/24*14*4/g is divided by h?
1
Suppose -4*o + 4*v + 418 = 114, -4*o - 4*v + 280 = 0. Calculate the remainder when 801 is divided by o.
71
Let g(j) = -j**3 - 2*j**2 - 15*j - 23. Calculate the remainder when 69 is divided by g(-2).
6
Let f be -52*(-4 - (-44)/8). What is the remainder when f/((-8)/4) + -1 is divided by 21?
17
Let w(n) = -n**2 - 8*n - 4 + 21 - 4*n. Let c be w(-13). Suppose -2*a - 2*d + 18 = 0, -1 = 3*a - 5*d + c. What is the remainder when 14 is divided by a?
4
Suppose 392*h - 400*h = -2584. What is the remainder when h is divided by 85?
68
Suppose 0 = y - 0*y + 5, -3*y = 3*r - 870. Let w = -191 + r. Calculate the remainder when w is divided by 27.
23
Let i = -2 + 10. Suppose 10 + 10 = 4*j. Let n = j - 2. Calculate the remainder when i is divided by n.
2
Suppose 12*d + 4*n = 7*d + 155, -2*n = -4*d + 150. Suppose -2*p + 25 = -1. Calculate the remainder when d is divided by p.
9
Let d be 4*1 + (-10 - -9). Suppose 13 = -g - 5*z, 2*g - d*g + 17 = -5*z. Calculate the remainder when 2 is divided by g.
0
Suppose -13*o + 354 = -7*o. What is the remainder when o is divided by 5060/340 - (-4)/34?
14
Suppose -3*t + 2*x = 2*t - 234, 4 = -2*x. What is the remainder when t is divided by (42/(-70))/((-132)/3520)?
14
Let p = -351 - -193. Let f = p - -231. What is the remainder when f is divided by ((-16)/(-6) + -1)*15?
23
Suppose 2*z = -5*k + 2010 + 1107, -2*k + 1241 = -5*z. Calculate the remainder when k is divided by 25.
23
Let n be (-1)/((-2 + 0)/4). Suppose 2*g - 3*k = 2, -n*k + 1 = g + k. Let h(t) = 42*t - 2. What is the remainder when h(g) is divided by 14?
12
Let p(k) be the first derivative of -3*k**2/2 - 7*k - 5. Let r be p(-3). Suppose -r*j = -j - 26. What is the remainder when j is divided by 15?
11
Suppose 2*n + 4*n + 14112 = 0. Let l = 857 + n. What is the remainder when 96 is divided by l/(-45) - 4/18?
30
Calculate the remainder when ((-12)/20)/((-2)/30) is divided by 15/9*9/3.
4
Let j = 185 + 67. Calculate the remainder when j is divided by 52.
44
Let g = 12 + -4. Let l(q) = q. What is the remainder when ((-196)/(-70))/(2/10) is divided by l(g)?
6
Suppose -5*c + 603 = 5*f - 582, 5*f + 453 = 2*c. Calculate the remainder when c is divided by 17.
13
Let c = 86 - 88. Calculate the remainder when 143 is divided by -3 + ((-780)/40)/(1/c).
35
Let r(f) = 6 + 3 + 8*f - f**2 + f. Let l(u) = 6*u - 1. Calculate the remainder when l(3) is divided by r(9).
8
Suppose -x - k = -1, 4 = -0*x + 3*x + 4*k. Suppose -4*o = -x*o - 8. Suppose -o*y + 77 + 21 = 0. Calculate the remainder when y is divided by 17.
15
Suppose -54 = -2*a - 2*a + k, -a + 5*k = -23. What is the remainder when ((-6)/4)/(7/(-14)) is divided by (3/5)/(a/65)?
0
Suppose 5*p - 8*p = 5*g - 476, 3*p - 379 = -4*g. What is the remainder when g is divided by 4?
1
Let p = -148 - -153. Calculate the remainder when p is divided by 3.
2
Let f = -369 + 479. What is the remainder when f is divided by 57?
53
Let c = 1630 - -385. What is the remainder when c is divided by 28?
27
Suppose -12 = q - 4*b, 0 = -3*q - 2*b - 3 + 23. Let n(l) = -l**3 + 6*l**2 - 3*l - 1. Calculate the remainder when 74 is divided by n(q).
17
Suppose 2*p - 4*u + 4 = 0, -5*u + 3*u + 18 = 3*p. What is the remainder when 47 is divided by p?
3
Let i = 16 + 11. What is the remainder when 76 is divided by i?
22
Let k = 793 + -566. Let s(x) = 5*x**3 + 4*x - 2. What is the remainder when k is divided by s(2)?
43
Let f(q) = -4*q - 5. Let a be f(-2). Suppose -b + 6*b - 4*r = 1, 4*b - 7 = -a*r. Suppose 10 - b = n. Calculate the remainder when 25 is divided by n.
7
Let w(h) = -h**3 - 6*h**2 + 5*h + 11. Suppose -112 = -3*p - 2*a + 24, -p = -2*a - 48. What is the remainder when p is divided by w(-7)?
21
Let n(d) be the second derivative of d**5/20 - d**4/6 - 5*d**3/6 + 5*d**2/2 - 13*d. Calculate the remainder when n(4) is divided by 10.
7
Suppose 26*r + 38298 = 104*r. Calculate the remainder when r is divided by 13.
10
Let h = -9 + -27. Let k = 39 + h. Suppose -9 = -3*l, -4*f - k*l = 2*l - 39. Calculate the remainder when 39 is divided by f.
3
Let m be (-2)/3 + 263/3. Suppose 0 = -3*l - 5*h + 1 + m, 5*h = -2*l + 67. What is the remainder when 62 is divided by l?
20
Let a(j) = j**3 + 7*j**2 - 3*j - 4. Let x be a(-4). Let q = 104 - x. Calculate the remainder when 5 is divided by (-2)/11 - q/(-22).
1
Suppose 5*v - 2 - 9 = -p, 25 = 3*v - 4*p. Let h = 7 + v. Suppose -f - 3 = -h. Calculate the remainder when 20 is divided by f.
6
Let j = -767 - -791. What is the remainder when (-3*1)/((-6)/188) is divided by j?
22
Suppose 14 = -2*x + 4*x. Suppose 0 = -x*o + 4*o + 117. What is the remainder when o is divided by 7?
4
Suppose 7*d - 5*g = 4*d + 161, g = -5*d + 259. What is the remainder when d is divided by 27?
25
Let f = 252 + -226. What is the remainder when f is divided by 9?
8
Suppose 6*m - 28 = 2*m - 3*s, -2*s + 12 = m. Suppose -m*a + 34 = -26. Calculate the remainder when 58 is divided by a.
13
Let c = -239 + 249. What is the remainder when 18 is divided by c?
8
Suppose -10*j + 12*j - 3*t - 17 = 0, -j - 2*t = -12. What is the remainder when 58 is divided by j?
8
Let t(c) = -c**3 + 10*c**2 - 5*c + 3. What is the remainder when t(4) is divided by 3/(-3 - (-504)/164)?
38
Let r be ((-54)/36)/((-1)/6). Suppose 0 = 4*t - r*t + 60. Calculate the remainder when 22 is divided by t.
10
Suppose 0 = -i - 2*r + 48, -i - 3*r + 68 = -6*r. Calculate the remainder when 164 is divided by i.
52
Let v(q) = -q - 5. Let b be v(-5). Suppose 0 = -24*z + 25*z - 12. Suppose b*a + 4*a - k = z, 12 = 4*a + 2*k. What is the remainder when 6 is divided by a?
0
Let x = -483 - -505. What is the remainder when 327 is divided by x?
19
Suppose 4*h + 4*t - 17 = t, -4*h - 7 = -5*t. Let w = h - 5. What is the remainder when (w - 172/(-28))*7 is divided by 8?
6
Let v be (-20)/(-25)*(-330)/(-3). Calculate the remainder when 1 - (v/(-2) - 3) is divided by 13.
9
Suppose 5*v - 1 + 4 = 3*b, 3*v = -b + 1. Suppose 2 = -q + b. Calculate the remainder when 34 is divided by (-5 - -2)/(q/3).
7
Let l = 97 - 35. Calculate the remainder when l is divided by 16/(-72) + 191/9.
20
Let i be (-6)/((-4)/4) + -4. Suppose 6*k - 3*k + 6 = 0, 0 = -v - i*k - 9. Let l = v - -26. Calculate the remainder when l is divided by 11.
10
Let g be (-240)/25 - 6/15. Let s = 40 + g. Calculate the remainder when 58 is divided by s.
28
Let t(q) = 7*q**2 - 9*q**2 + 19*q + q**2 + 10. Let k be (17/(-2))/((-1)/2). Calculate the remainder when t(k) is divided by 12.
8
What is the remainder when (-36)/20*(-55)/3 is divided by 23?
10
Let p(y) = 47*y - 29. What is the remainder when 1798 is divided by p(1)?
16
Suppose -5*a + 6 = -3*a. Suppose 3*o - 4*v - 15 = 0, 3*o + 4*v = -o + 48. What is the remainder when o is divided by a?
0
Suppose -4*u - a = -155, 3*u - a = -u + 149. Suppose -4*r + 51 = -1. Calculate the remainder when u is divided by r.
12
Let m(v