t m = 57 + -50. Let j = 6 + -10. Calculate the remainder when 338/18 - j/18 is divided by m.
5
Suppose -24 = -3*i - 6. Suppose -29 = -i*p + 13. What is the remainder when 18 is divided by p?
4
Suppose -62*i = -69*i + 455. Suppose 6*r - 44 = 2*r. What is the remainder when i is divided by r?
10
Let p(t) = -t**2 - 5*t + 1. Let s(z) = z**2 - 6*z + 4. Let c be s(4). Calculate the remainder when p(c) is divided by 4.
1
Let s(f) = -18*f - 6. Let j be s(-2). Let a(h) = h**2 - 4*h - 5. Calculate the remainder when a(-4) is divided by 12/(-9)*j/(-4).
7
Let s(l) = 31*l**2 - 15*l - 40. Calculate the remainder when s(-2) is divided by 17.
12
Suppose 20 = 3*h - 115. What is the remainder when h is divided by 7?
3
Suppose 4*q - 3 = 221. Let v(l) = -l**3 - 22*l**2 - 23*l - 9. Let i be v(-21). Let a = q - i. Calculate the remainder when a is divided by 12.
11
Let k = -4 + 6. Suppose -2*g = 5*i - 39, g + 47 - 8 = 4*i. Calculate the remainder when i is divided by k.
1
Let i(a) = 0*a - 1 + 0*a + a - 3*a. Suppose q + 7 = -2*c, -4*c = 3*q - 9*c - 12. What is the remainder when i(q) is divided by 1?
0
Suppose 108 = -0*f + 4*f. Let g(o) = 15*o - 42. Let b be g(7). Suppose 0 = 7*y - b - 7. Calculate the remainder when f is divided by y.
7
Suppose 69 + 51 = q - 4*u, -q + 118 = -3*u. Let m(t) = t**3 + 28*t**2 + 131*t + 16. What is the remainder when q is divided by m(-22)?
36
Suppose -4*u + 7 = -9. Let k be -2*(-15)/(-9)*(-12)/8. Calculate the remainder when k*6/15 + (3 - 1) is divided by u.
0
Suppose -68*x + 49*x + 513 = 0. Let f = 7 - -3. Calculate the remainder when x is divided by f.
7
Calculate the remainder when 127 is divided by 2/12*3*(22 + 64).
41
Let j(h) = h**3 + 4*h**3 - 11*h**2 - 2*h + 5 - 6*h**3. Calculate the remainder when j(-11) is divided by 6.
3
Suppose 1 = -4*f - 3*b, 5*b = -3*f + 6*f - 21. Suppose 37 = 2*g + o - 11, -5*g + 135 = -5*o. What is the remainder when g is divided by 544/40 + f/5?
11
Let f(w) = 227*w**2 + 5*w - 3. What is the remainder when f(1) is divided by 29?
26
Calculate the remainder when 338 is divided by 1 + 5/(50/330).
32
Suppose -1495 = -16*a + 3593. What is the remainder when a is divided by 80?
78
Let f(a) = 103*a**3 + 3*a**2 + a + 1. Let p(l) = -l**2 + l. Let s(y) = -f(y) - p(y). Calculate the remainder when s(-1) is divided by 15.
12
Let u = -53 - -147. Calculate the remainder when (u/6)/(9/81) is divided by 36.
33
Let o(j) = -3*j + 7*j + j. Let a = -1153 + 1172. What is the remainder when a is divided by o(1)?
4
Suppose 4*q + 272 = 2*q. What is the remainder when (q/(-12))/(2/9) is divided by -6*(-10)/3 + -2?
15
Let a = -37 - -62. Let r be -47 + (-4)/6*3. What is the remainder when (-1)/((-4)/(-4)) - r is divided by a?
23
Suppose -q + 4*q = -4*l + 247, 2*l + 5*q - 127 = 0. Let g(v) = v**2 - 3*v - 177. Calculate the remainder when l is divided by g(-13).
30
Let s = 20 + -1. Let d = 230 - 177. Calculate the remainder when d is divided by s.
15
Let p = -14 + 9. Let i = 9 + p. Suppose 7*l + 65 - 121 = 0. Calculate the remainder when l is divided by i.
0
What is the remainder when (-1968)/(-66) - 3*(-4)/66 is divided by 24/(-10)*(-140)/21?
14
Suppose -19*m + 22*m = 414. Let v = m - 68. Let o = -48 + v. What is the remainder when o is divided by 8?
6
Suppose -3*i + i - r = -31, 3*r = 2*i - 11. Calculate the remainder when 776 is divided by i.
9
Let z(r) = -r**3 + 21*r**2 + 10*r - 21. What is the remainder when z(21) is divided by 24?
21
Let i be 3/((-1)/((-8)/3)). Let r(u) = -u**3 + 8*u**2 + 2*u + 3. Calculate the remainder when r(i) is divided by 5.
4
What is the remainder when 111 is divided by ((2120/5)/4)/1?
5
Suppose -65 = 4*h + 83. Let v = 48 + h. What is the remainder when 87 is divided by v?
10
Suppose -4*y + 4*v = 4, 4*v + 2 = 4*y + 2*v. Let f(j) = 8 + 5*j**3 + 0*j - 4 + j - 2. What is the remainder when f(y) is divided by 15?
14
Suppose 6*s = -8*s + 3990. What is the remainder when s is divided by 69?
9
Suppose -4*n - 7 = 5, 4*n = l - 27. What is the remainder when 16/(80/(-44) - (-4 + -1) - 3) is divided by l?
13
Suppose 3*t = 699 - 663. What is the remainder when 42 is divided by t?
6
Suppose 7*s = 11*s. What is the remainder when 84 + 9/3 - s is divided by 22?
21
Let n = 40 - 15. Let f be 1/(-3) - 26/(-6). Suppose -f*i = -5*i + 9. Calculate the remainder when n is divided by i.
7
Let m(x) = 1211*x + 26. Calculate the remainder when m(1) is divided by 73.
69
Let q be (-812)/21 + (-3)/9. Let d = -31 - q. Calculate the remainder when 22 is divided by d.
6
Let u(j) = 17*j - 2 + 2*j - j + 5. What is the remainder when u(1) is divided by 11?
10
Suppose -5*d + 6 = -v, -4*v = 4*d - 0*v - 24. Suppose -1040 = 6*j - d*j. Let m = -151 - j. What is the remainder when m is divided by 37?
35
Let j = -958 - -1077. Calculate the remainder when j is divided by 10.
9
Let a(y) = y**3 - 2*y**2 - 3*y + 3. Let c be a(2). Let b = -82 + 85. Let q = b - c. Calculate the remainder when 9 is divided by q.
3
Let k(d) = -18*d + 306. What is the remainder when k(10) is divided by 27?
18
Suppose -84 = 3*l - 309. Suppose -l = -2*z + 35. Calculate the remainder when z is divided by (-6*28/(-18))/(6/9).
13
Suppose -39*p = -132*p + 372. What is the remainder when p is divided by 4?
0
Let s = -4 + 7. Let t = 13 - 11. Suppose -2*v = t*l - 30, 2*l - 3*l = -1. Calculate the remainder when v is divided by s.
2
Let f = 61 + -39. Let h(l) = l**2 + 11*l + 22. Let g be h(-8). Calculate the remainder when 0/((-4)/g) - (-195)/3 is divided by f.
21
Suppose 0 = -2*d - 3*o + 44, 5*d = 2*d + o + 77. Let m = 42 - d. Calculate the remainder when 65 is divided by m.
14
Let d be ((-32)/12)/((-2)/3). Let o(g) = -3*g + 1 + 8*g**2 + g**3 - 2*g**3 - 4*g**3 + d*g**3. What is the remainder when o(5) is divided by 16?
13
Let o = -1070 + 1245. Calculate the remainder when o is divided by 54.
13
Let i(x) = x**2 - 9. Suppose -10 = -h - 4*h. Suppose 16 = -h*j + 4*j. What is the remainder when i(j) is divided by 14?
13
Suppose 29*j - 2140 - 1775 = 0. Calculate the remainder when j is divided by 20.
15
Let v = -748 - -788. Let o(m) = -m**3 + 5*m**2 - 5*m + 4. Let l be o(3). Calculate the remainder when 37 is divided by v/l*(-21)/(-6).
17
Let o(k) = 2*k**3 - 79*k**2 - 34*k + 41. What is the remainder when o(40) is divided by 41?
35
Let k = 1746 + -1673. Suppose 2*r = -3*p + 47, 4*p - 7*p + 35 = -r. Calculate the remainder when k is divided by p.
8
Let x(f) be the first derivative of -f**4/4 + 14*f**3/3 - 7*f**2/2 - 41*f + 27. Calculate the remainder when x(13) is divided by 10.
7
Suppose -420 = -11*d + 779. What is the remainder when 978 is divided by d?
106
What is the remainder when (-132)/(-726) + (-1844)/(-22) is divided by 46?
38
Let q(t) = 5*t**3 - 2*t**2 + 2*t - 1. Let v be q(1). Suppose 0 = v*r - 0 - 32. Calculate the remainder when r is divided by 3.
2
Suppose -4*b + 4*s + 204 = 0, 2*s - s + 213 = 4*b. Suppose -3*m - 3 + 21 = 0. Suppose m + 50 = 2*y. What is the remainder when b is divided by y?
26
Let n(j) = -j**2 + 16*j + 23. Suppose 5*w - 6*d - 83 = -3*d, d + 1 = 0. What is the remainder when n(w) is divided by 13?
10
Let m(q) = 24*q**2 - 6*q + 3. Let c be m(2). Let u = -79 + c. What is the remainder when 20 is divided by u?
4
Let s = -12 - -38. Calculate the remainder when s is divided by 20.
6
Suppose 2*x + 3*x - 10 = 0. Suppose -4*f - p = 4*p - 96, f - x*p - 24 = 0. Suppose 0 = -4*g + 84 - f. Calculate the remainder when 40 is divided by g.
10
Let v = 1592 - -847. Calculate the remainder when v is divided by 61.
60
Let d(y) = -3*y + 2. Let p be d(1). Let z = p - -6. Calculate the remainder when z is divided by 4.
1
Let o(z) = 32*z**2 - z. Let h(r) = r**2 - 4*r + 1. Let b be h(4). What is the remainder when o(b) is divided by 8?
7
Suppose 4*m - 20 = -0. Let a = 1236 - 1214. Calculate the remainder when a is divided by m.
2
Let z(j) = 124*j**3. Let w be z(1). Suppose 2*i + w = 4*b, b - 24 = i + 9. Let v = 55 - -1. Calculate the remainder when v is divided by b.
27
Suppose 0 = -4*y - 277 + 301. Calculate the remainder when 34 is divided by y.
4
Let p = -173 + 286. What is the remainder when p is divided by (232/12)/((-6)/(-9))?
26
Let g = -118 + 84. Suppose -7*c + 3*z = -3*c - 18, c + 2*z + 1 = 0. Calculate the remainder when (-10)/(-20) - g/4 is divided by c.
0
Let d