 when 106 is divided by p.
32
Suppose 15 = 2*a - 5*q, 6*a = 2*a + 2*q + 38. Let n = a - -7. Calculate the remainder when n is divided by 11.
6
Suppose -8*y + 1485 - 581 = 0. Calculate the remainder when y is divided by 64.
49
Suppose -3*d - 5*a = -117, 4*d - 6*d + 5*a + 53 = 0. What is the remainder when 35 is divided by d?
1
Let m(w) = -695*w - 3470. Let o(k) = -k + 22. Suppose -5*d + 2*j - 2 = -0*j, -3*d = -j + 1. What is the remainder when o(d) is divided by m(-5)?
2
Suppose -274 = -2*s + 2*i, 768 = 5*s - 3*i + 89. Calculate the remainder when s is divided by 130.
4
Let n(o) = -o**3 + 7*o**2 + 6*o - 4. Let d be n(8). Let k = d - -16. What is the remainder when 40 is divided by -1 - k*(1 + 3)?
10
Suppose 2*h - 70 = -60, 5*o = -2*h + 360. What is the remainder when 150 is divided by o?
10
Let n be 1915*(-2 + 55/25). Suppose -2*v + 5*r = -n, 0 = 2*v + 2*v - r - 811. What is the remainder when v is divided by 52?
48
Suppose 29*d = 33*d - 84. Calculate the remainder when 33 is divided by d.
12
Let p = -765 - -771. Calculate the remainder when 23 is divided by p.
5
Let y = 6 + -4. Let m = 1 + -1. Suppose m*x + 46 = y*x - 4*i, -x - 4*i - 7 = 0. What is the remainder when 50 is divided by x?
11
Let q(y) = -36*y**3 + y**2 - 1. Let u be q(-1). Suppose 2*k = 5*k - u. Calculate the remainder when 31 is divided by k.
7
Let f be 9/6*78/(-9). Let h = 22 + f. Suppose -8*i = -5*i - h. What is the remainder when 3 is divided by i?
0
Let m(r) = -4*r - 7. Let i be m(2). Let s = i - -97. Let o = -61 + 89. What is the remainder when s is divided by o?
26
Let z = -2 + 11. Let y be (-1 - 2)/(7 + -8). Suppose 2*c - 2 = -y*m, c + 32 = 3*m - 3*c. Calculate the remainder when z is divided by m.
1
Suppose -u - 5*n + 6 = -0*u, -2*u = 2*n - 4. Calculate the remainder when (86 - -1) + u - -1 is divided by 13.
11
Let k(y) = y**3 + 17*y**2 - 2*y + 7. Calculate the remainder when 162 is divided by k(-17).
39
Let f = -629 + 639. What is the remainder when 75 is divided by f?
5
Let f(k) = k**3 - 2*k**2 - 158*k - 14. Calculate the remainder when f(15) is divided by 78.
73
Suppose 4*p - 108 - 212 = 0. Suppose 5*a - 40 = p. Calculate the remainder when 44 is divided by a.
20
Let r be 18/81 - (-500)/18. Suppose o - 3 = -4*z - 39, 2*z + 3*o + r = 0. Let n = z - -24. Calculate the remainder when 79 is divided by n.
15
Calculate the remainder when 4/(-18) + -10 + (-4256)/(-36) is divided by 59.
49
Let l = 30 + -21. Let g = -52 - -78. What is the remainder when g is divided by l?
8
Let i be (-9 + 6)*(-2)/2. Let s = i + 12. Suppose 20 = -4*p, 3*p - 285 = -5*u + 2*p. What is the remainder when u is divided by s?
13
Suppose 39 = 9*t - 24. What is the remainder when 384 is divided by t?
6
Suppose 4*z - 2 = 90. Suppose -13*g + 14 = -11*g. What is the remainder when z is divided by g?
2
Let p(r) = -r**3 - 12*r**2 + 6*r - 28. What is the remainder when p(-13) is divided by 29?
5
Suppose -3*a + 19 = 2*d - 39, 0 = d - 4*a - 18. Let l = -103 - -206. What is the remainder when l is divided by d?
25
Suppose 10*y + 343 = 1303. Calculate the remainder when y is divided by 20.
16
Suppose 2*c + 3*w = 9, -3*w - 3 = -6*w. Suppose 4*x - 6*x = 0. Suppose 0 = -3*a - 5*z + 309, c*a = z - x*z + 309. What is the remainder when a is divided by 26?
25
Let m be -6*((-5)/(-10) - 1). Suppose -4*d - 3*v + 97 = 16, 67 = m*d - 4*v. Calculate the remainder when 125 is divided by d.
20
Suppose -10*g + 6*g + 408 = 0. What is the remainder when g is divided by 28?
18
Suppose -73 = -2*k + 11. Let s = k - 4. Calculate the remainder when 113 is divided by s.
37
Let h be 1*(17 - 20/5). Suppose 0 = -2*z + 15 + h. What is the remainder when 26 is divided by z?
12
Let u = -190 + 207. What is the remainder when u is divided by 11?
6
Suppose 0 = -2*j + h + 369, 2*j - 2*h + 7*h - 339 = 0. Suppose j = -5*t + 472. What is the remainder when t is divided by 10?
8
Suppose 2*o = -o + 15. What is the remainder when o/(-1 - 11/(-10)) is divided by ((-18)/12 + 4/4)*-34?
16
Suppose 9*l = 5*l + 12. Let x = 21 + -21. Suppose x*f - l*f + 4*j = -177, 174 = 3*f - 5*j. What is the remainder when f is divided by 32?
31
Let z(x) = 1 - 9*x - 7*x - 6 - 3*x**2 + 2*x**2. Suppose 28 = 3*y - 23. What is the remainder when y is divided by z(-15)?
7
Suppose -2*u - 227 = -5*v - 30, -2*u + 8 = 0. Calculate the remainder when 151 is divided by v.
28
What is the remainder when 113 is divided by -6 + (-10)/5 + 47?
35
Let s(g) = -5*g - 3. Let r be s(-4). Let v = r + -20. Calculate the remainder when 40*(-3 + (v - -7)) is divided by 14.
12
Let n be (-146)/(-30) - 5 - 43/15. Calculate the remainder when 42 is divided by (-2)/n - 75/(-9).
6
Let d(m) = -m**2 + 28*m - 151. Calculate the remainder when 168 is divided by d(10).
23
Let f = 1889 + -1281. Calculate the remainder when f is divided by 10.
8
Let l be 3/18*20*216/10. Calculate the remainder when (-12)/l - 1466/(-12) is divided by 21.
17
Let h(x) be the second derivative of x**4/12 - 7*x**3/6 - 9*x**2 + 9*x. Calculate the remainder when h(13) is divided by 21.
18
Let l = 53 + 29. Calculate the remainder when l is divided by (2/(-5))/(14/(-770)).
16
Suppose -4*w - 5 = y, 3*w = 2*w - 5*y - 25. Let h(t) = -2*t + 9 + 45 + t. What is the remainder when h(w) is divided by 14?
12
Let b(o) = -o**2 - 6*o - 11. Let g be b(-6). Let z(h) = h + 25. What is the remainder when z(g) is divided by 9?
5
Let w = 1661 + -1648. What is the remainder when 246 is divided by w?
12
Let g = 817 + -499. Calculate the remainder when g is divided by 104.
6
Suppose -k - 2*b + 3 = 0, -k + 7*b = 3*b - 27. What is the remainder when 118 is divided by k?
8
Let f(z) = 24*z - 2. Let a be (-6)/(3 - 18/4). Let v be f(a). Suppose -6 = 3*m, -j + 2*m - v = -3*j. What is the remainder when j is divided by 13?
10
Suppose 0 = -3*g - 5*l + 36, 5*g - 60 = -3*l - l. Let j = g - 2. Let o = 45 - 18. Calculate the remainder when o is divided by j.
7
Let v(h) be the third derivative of -h**6/60 + h**5/60 + h**4/24 + h**3/6 - 25*h**2 - 2. What is the remainder when 4 is divided by v(-1)?
1
Suppose 13*f + 8160 = 37*f. Calculate the remainder when f is divided by 43.
39
Let b(m) = m**3 + 4*m**2 - 6*m + 7. Suppose -5*x - 29 = -4. Calculate the remainder when 36 - (-5 - -5 - -3) is divided by b(x).
9
Let p(w) = -2*w**2 - 56*w - 366. What is the remainder when p(-16) is divided by (0 + 1)/((-2)/(-8))?
2
Suppose -40 = 5*u - 4*n, u + n = -3 + 4. What is the remainder when 109 is divided by -2*(2 + u) - -18?
21
Suppose -3*c - 3*r + 168 = 0, -3*c + 225 = c + 5*r. What is the remainder when c is divided by 14*2/(-3)*45/(-21)?
15
Let u be (-4)/10 - (-144)/60. Let f be (8/u - 3)*4. Calculate the remainder when f/8*1*106 is divided by 14.
11
What is the remainder when 1441 is divided by ((-190)/(-25))/(18/45)?
16
Suppose 2*j + 25 = 5*f, 3*f - 17 = -j - 2. Suppose j*b = 4*d + 3*b - 17, -4*b + 12 = 0. Calculate the remainder when (d*32)/((-6)/(-6)) is divided by 11.
9
Let d(z) = 4*z + 1 + 13*z + 8*z. What is the remainder when d(1) is divided by (3 + (-12 - 0))*-1?
8
Suppose 4*n + 2*c - 285 = -n, -35 = -n + 4*c. Calculate the remainder when n is divided by 19.
17
Suppose -4*o - t + 43 = 0, 72*o - 67*o = 4*t + 101. What is the remainder when (0 - -72)*(-1)/(-2) is divided by o?
10
Suppose -25 = -3*y + 4*y. Let o be 1 - (y/1 + 3). Let t = o + -12. Calculate the remainder when 29 is divided by t.
7
Let o(n) = 2*n**2 + 10*n + 6. Let c = -51 - -59. What is the remainder when ((-2)/c)/((-2)/280) is divided by o(-6)?
17
Suppose -2*r = -2*o - 0*r + 52, 0 = 3*r + 3. Calculate the remainder when 42 is divided by o.
17
Let c(t) = -t**2 + 11*t + 9. Let n be (-15)/(-6)*(-54)/(-15). Calculate the remainder when c(n) is divided by (6/(-8))/((-1)/8).
3
Suppose 0 = 4*j - 3*n - 1043, n + 523 = -129*j + 131*j. What is the remainder when j is divided by 27?
20
Suppose -7*w + 209 = 4*w. Calculate the remainder when w is divided by 18.
1
Suppose -3*p - 186 = -252. What is the remainder when 87 is divided by p?
21
Suppose 14*h - 380 = 10*h. What is the remainder when h is divided by 46?
3
Suppose q - 4 = 16. What is the remainder when (36/5)/((-234)/80 - -3) is divided by q?
16
Let p(r) = -r - 2. Let k be p(-5). Let x(j) = 6 + 2*j**2 + 0 - k*j**2 - 2 + 7*j. Calculate the remainder when x(6) 