uppose -2*f + 0*l = -2*l - 12, 0 = 3*f - 2*l - 20. What is the remainder when 87 is divided by f?
7
Suppose -9*x + 58 + 113 = 0. Calculate the remainder when 36 is divided by x.
17
Let a(s) = s**3 - 8*s**2 + 8*s - 3. Let r be a(7). What is the remainder when (-210)/(-9)*6/r is divided by 18?
17
Let r = 59 + -24. What is the remainder when 209 is divided by r?
34
Let z(j) = -j**3 + j**2 - j. Let f be z(0). Suppose 5*q - 2 + 17 = f. Let r(t) = -t - 2. What is the remainder when 2 is divided by r(q)?
0
Let a(q) = -5*q - 40. What is the remainder when 49 is divided by a(-10)?
9
Let u(y) = -9. Let n(v) = v + 26. Let i(s) = -4*n(s) - 11*u(s). Let r be 28/(-5) + 9/15. What is the remainder when 27 is divided by i(r)?
12
Let c(f) = 2*f**2 + 2*f - 2. Let l be c(-4). Let x = 37 + l. Suppose 0 = -4*w + x + 5. What is the remainder when 46 is divided by w?
14
Suppose -4*x - x + 45 = 0. Let p = x + 10. What is the remainder when p is divided by 11?
8
Let n(y) = -3*y + 21. Calculate the remainder when n(0) is divided by 12.
9
Suppose -4*j + 167 = 5*s, 0 = -4*s + 8*j - 3*j + 150. Calculate the remainder when 65 is divided by s.
30
Let f = -10 + 42. Suppose 0 = 3*b + 2*b - 25. Suppose p + 44 = b*p. What is the remainder when f is divided by p?
10
Let t be (4/6)/(4/(-30)). Let b(s) = 2*s + 4. Let i(d) = d + 3. Let l(r) = -4*b(r) + 5*i(r). What is the remainder when l(t) is divided by 8?
6
Let w = 6 + -1. Suppose -2*o + 85 = -3*m, -5*o - m + w*m = -195. Calculate the remainder when o is divided by 12.
11
Suppose 2*w + 2*g = 82, 129 = 6*w - 3*w + g. Suppose 2*q = i - w + 5, 0 = 5*i - 2*q - 211. What is the remainder when i is divided by 15?
13
Let x(g) = -g**3 + 15*g**2 + g + 2. Suppose 0 = -4*p + 3*p. Suppose -180 = -4*f + 4*y, -4*f + p*f = 5*y - 225. What is the remainder when f is divided by x(15)?
16
Suppose -7*l + 2*l = 15, 0 = 2*t + 5*l + 11. What is the remainder when t*(0 + (-10)/(-4)) is divided by 3?
2
Let n be (-1)/(0 - (-3)/(-6)). Calculate the remainder when (2 - n) + 0 + 11 is divided by 4.
3
Let f be 1/5 - (-49)/5. Let k be 4/f - 33/(-5). Calculate the remainder when 34 is divided by (-6)/(-21) - (-124)/k.
16
Suppose 100 = -2*y + 7*y. Let z = -1 + 2. Let l(r) = 12*r**3 - r**2 + r - 1. Calculate the remainder when y is divided by l(z).
9
Suppose -64 = -3*w - w. Calculate the remainder when w is divided by 7.
2
Suppose 0 = -3*o + 9. Suppose -o*x + 30 = -9. What is the remainder when 36 is divided by x?
10
Suppose -3*s + 882 = 5*b + 262, -3*s = 2*b - 608. Suppose -3*m + 7*m = s. Suppose 6*h - 68 = 2*h. What is the remainder when m is divided by h?
16
Let f(x) = x - 9. Let i be f(7). Let z = 8 - i. Suppose -4*y + z = y. Calculate the remainder when 5 is divided by y.
1
Let p be 3/2 - 1/(-2). Suppose 0 = 6*m - p*m - 112. What is the remainder when 55 is divided by m?
27
Suppose -8*u + 28 = -4*u. Let o = u + 9. What is the remainder when 29 is divided by o?
13
Let k(h) = -3*h. Let j(c) = -7*c. Let i(z) = 2*j(z) - 5*k(z). What is the remainder when i(7) is divided by 2?
1
Let f(z) = -z**2 + 2. Suppose 0 = 4*a - 4, 0 = 4*r + 4*a - a - 11. Calculate the remainder when f(0) is divided by r.
0
Suppose -3*f = 3*r - 21, -5*r - 6*f + 19 = -5*f. Suppose -r*d = -2*u + 16, -6 = 5*d - 2*u + 14. What is the remainder when (d - -2 - -19) + 3 is divided by 6?
4
What is the remainder when (-2)/(((-30)/369)/5) is divided by 43?
37
Let f(h) = -h**3 + h**2 + 2*h - 1. Let o be f(-2). Suppose 3*d + 13 = o*d + 3*y, d + 5 = 2*y. Calculate the remainder when 28 is divided by 5/(1/(3/d)).
13
Let n(j) = -37*j**3 + 2*j**2 + 2*j + 1. Let y(q) be the first derivative of -q**3/3 + 6*q**2 - 7*q - 3. What is the remainder when n(-1) is divided by y(10)?
12
Let c be (5/(-3))/(3/(-9)). Suppose -4*s + c*s - 3 = 0. Calculate the remainder when s is divided by 1.
0
Let q = 17 - 11. Suppose -480 = -q*n + n - 4*l, -288 = -3*n + 5*l. Suppose -2*t - t = -n. Calculate the remainder when t is divided by 11.
10
Suppose -26*c + 99 = -23*c. Calculate the remainder when c is divided by 12.
9
Suppose -78 = -3*j - 3*j. Suppose 3*y - 2*w - 67 = 0, -2*y + 41 = -y + 4*w. What is the remainder when y is divided by j?
12
Suppose 14 = 2*b - 56. What is the remainder when b is divided by 9?
8
Let i be (-13 - -9)*14/4. Let g = 8 - i. Calculate the remainder when 65 is divided by g.
21
Suppose r - v = 8, -5*r + 4*v - 5*v = -64. What is the remainder when 46 is divided by r?
10
Suppose 6*k = -p + 2*k + 17, k + 17 = 4*p. Let o(c) = 4*c + 7. What is the remainder when 107 is divided by o(p)?
26
Let m(b) = 7*b - 15. What is the remainder when m(7) is divided by 13?
8
Let r(u) = -5*u**3 - u**2 + u + 1. Let p be r(-1). What is the remainder when 1 is divided by p/(-16) + (-5)/(-4)?
0
Let j(i) = -i**3 - 9*i**2 + 4*i + 5. Calculate the remainder when j(-10) is divided by 17.
14
Let q = 26 - 43. Let x = -2 - q. What is the remainder when x is divided by 8?
7
Suppose 4*f - 6 + 96 = 3*a, 158 = 5*a - 4*f. Let w(h) = 3*h + 6. Let x be w(14). Let t = x - a. Calculate the remainder when t is divided by 5.
4
Suppose -i + 4*i + 27 = 0. Let o = 7 - i. Suppose -5*g - 9 = -159. Calculate the remainder when g is divided by o.
14
Suppose f = 4*d + 26, -4*d + 112 = 3*f - f. Calculate the remainder when f is divided by 16.
14
Let c be (1 + -2)/(3/(-12)). Suppose c*b - 8 + 0 = 0. Suppose b*o = o + 29. What is the remainder when o is divided by 10?
9
Let f = -56 - -60. Calculate the remainder when f is divided by 3.
1
Let a(r) = r**3 - 6*r**2 - 5*r - 10. Let l be a(7). Suppose 5*d = 3*j - 56, 0 = j - d - l*d - 22. Calculate the remainder when j is divided by 6.
5
Suppose 0 = 2*y - 0*y + 4, i - 9 = 3*y. Let w = -3 - -2. Let g = 5 + w. Calculate the remainder when g is divided by i.
1
Suppose -3*d - 72 = -18. Suppose 0 = -5*w + w - 3*i + 11, 4*w = 2*i + 26. Calculate the remainder when 2/((-2)/d*2) is divided by w.
4
Let p(b) = b**2 - 5*b - 5. Let o be p(6). Suppose -o = -3*i + 5*l, -i + l = -0*l + 3. Calculate the remainder when (-138)/4*i/12 is divided by 8.
7
Let o(v) = -v**2 + 7*v + 10. Calculate the remainder when -3 - 3*(1 - 15) is divided by o(7).
9
Let t = -28 + 121. What is the remainder when t is divided by 19?
17
Let d(f) = -f**3 + 10*f**2 - 7*f + 13. Calculate the remainder when d(9) is divided by 1/(-2) + (-165)/(-10).
15
Suppose 0 = -l + 7 + 38. Let j(r) = -r**2 + 7*r + 2. Let k be -2 + 7 - (1 - 1). Calculate the remainder when l is divided by j(k).
9
Let r(k) = k**2 - 8*k - 4. Let m be r(8). Let s = m + 10. What is the remainder when s is divided by 1*-3*8/(-6)?
2
Suppose -8*p + 305 = -3*p. Calculate the remainder when p is divided by (4 + 1 - 2)*7.
19
Let m(h) be the third derivative of -5*h**4/12 + 2*h**3/3 + 2*h**2. Let a be m(4). Let o = -16 - a. Calculate the remainder when o is divided by 11.
9
Let s = -9 - -26. Let k = s - 7. Suppose 0 = -5*b + 2*b + 57. Calculate the remainder when b is divided by k.
9
Suppose 2*d - 20 = -3*d. Let z = -4 + d. Suppose -5*c = -4*f - z - 1, c = 2*f - 1. Calculate the remainder when 2 is divided by c.
0
Let f(i) = -i**2 + 6*i - 6. Let u be f(4). Suppose -4*x + 10 = -u. Suppose 20 = 2*r + g, x*r - 2*g - 4 = 12. Calculate the remainder when 15 is divided by r.
7
Suppose -k + 4 = a - 4*a, 2*k - 2 = 0. What is the remainder when ((-2)/(-4) + a)*-4 is divided by 1?
0
What is the remainder when -3 - (-6)/1 - -16 is divided by 7?
5
Suppose 3*h - 52 = -h. Suppose o = 4*x + 23, -o + 5*x = 3*x - h. Suppose -4*f + 1 = -7. Calculate the remainder when o is divided by f.
1
Let i = -4 + 8. Suppose 0 = g + 4*q - 19, g - 2 = -g + 4*q. What is the remainder when g is divided by i?
3
Suppose -3*j - 3*j = -324. Calculate the remainder when j is divided by 7.
5
Let t = -2 - -10. Calculate the remainder when 14 is divided by t.
6
Let z = 9 - 6. Suppose 0 = -0*h - h - z. Calculate the remainder when 24 is divided by (-1)/h + 38/3.
11
Suppose -l + 7 + 5 = 0. Let o be (1/1)/((-2)/(-10)). Suppose 4 = o*t + 4*m - 21, 3*m = -3*t + l. Calculate the remainder when 16 is divided by t.
7
Let j = -65 + 69. Calculate the remainder when 34 is divided by j.
2
Suppose 0 = -2*t + 8, -y - y - 4 = -t. Let a be ((-32)/20)/4*65. Calculate the remainder when -2*(y + a/4) is divided by 7.
6
Let n(b) = 7*b**2 + 30*b - 3. Wh