by j(2).
65
Let j = -16 + 21. Suppose -33 = -j*i + 2*i. Calculate the remainder when 53 is divided by i.
9
Let l(c) = -2*c**3 - 4*c**2 - 2*c + 1. Let y be l(-4). Suppose 7*v = 4*p + 2*v - y, -p = -v - 17. Let f = p + 3. Calculate the remainder when f is divided by 8.
7
Suppose 555 = 4*n + 5*j, 53*n - 52*n - 144 = -3*j. Calculate the remainder when 1078 is divided by n.
133
Let k(d) = 8*d - d**2 - 2 - 9*d + 4. Let i be k(0). Suppose 0 = b + i*b - 171. Calculate the remainder when b is divided by 20.
17
Let r(n) = -4*n**2 - 6*n + 3. Let d be r(-5). Let a = 136 + d. Calculate the remainder when a is divided by 75/4 + 21/(-28).
15
Suppose 11*n - 6458 - 4047 = 0. Suppose 10*l + 165 - n = 0. What is the remainder when l is divided by 34?
11
Suppose -15*r + 3*f = -14*r - 84, 0 = -4*r + 4*f + 296. Calculate the remainder when 618 is divided by r.
66
Suppose 0*d - 5 = -5*u + 5*d, 15 = -u + 5*d. Suppose -r - u + 38 = 0. What is the remainder when r is divided by 5?
3
Suppose 0 = -5*n - 29 + 4, z + 3*n = 1. Let f(s) = s**2 - 12*s - 50. What is the remainder when 69 is divided by f(z)?
13
Let b = 62 + 86. Calculate the remainder when b is divided by (10 - 8) + (-3 - -11).
8
Suppose 0 = 5*f - 3*k - 1894, f - 357 - 32 = 4*k. What is the remainder when f is divided by 27?
26
Suppose 6*s - 3*s - 24 = 0. What is the remainder when 21 is divided by s?
5
Let m(x) = x**3 + 10*x**2 - 9*x - 1. Let c be (-4)/(-26) + 0 - 264/26. What is the remainder when m(c) is divided by 6?
5
Let x = 7 - 13. Let u be (-21)/x*(-164)/(-2). Suppose 22 = 3*d - u. Calculate the remainder when d is divided by 26.
25
Let b(a) = 2*a + 1. Suppose 8*c = 6*c - 38. Calculate the remainder when (3/3)/((-1)/c) is divided by b(3).
5
Suppose 2*l = -2*l + 264. Let o = 39 - l. Let u = o - -42. What is the remainder when u is divided by 9?
6
Suppose -4*f - 3*u + 1412 = 0, -3*f - 29*u = -28*u - 1059. What is the remainder when f is divided by 90?
83
Let h(m) = m**3 - m**2 + 1. Let o be h(2). Suppose -28 = -o*d - 2*n, -4*n = -d + 6 + 4. What is the remainder when ((-15)/d)/((-6)/12) is divided by 3?
2
Suppose -3*q + 90 = 3*l, 0*q + l + 70 = 3*q. Let r = -25 - -30. Suppose -5*t = r*m - 70, t - 4*m - 7 = 7. Calculate the remainder when q is divided by t.
11
Let w(f) be the first derivative of f**4/4 + f**3 - 3*f**2/2 - 4*f + 5. Calculate the remainder when 6 - (2 - 3)/(-1) is divided by w(-3).
0
Suppose 3*v - 155 = -2*v. Suppose 3*y + y + 4 = -3*u, -3*u - 5 = 5*y. Suppose -8*q + 106 - 42 = u. What is the remainder when v is divided by q?
7
Let w(b) = -23*b - 520. Calculate the remainder when w(-24) is divided by 7.
4
Suppose -9*j + 1 + 44 = 0. Suppose -136 - 59 = -j*r. Suppose 6*k - 72 = k - t, -5*k - 5*t = -80. Calculate the remainder when r is divided by k.
11
Suppose 5*s = -5*y + 270, -s + 57 = -25*y + 29*y. Calculate the remainder when 227 is divided by s.
15
Let l(w) = 3*w + 2. Let r be l(1). Let x be (-3)/2 + r/(-2). Calculate the remainder when x/(-10) - (-1584)/40 is divided by 11.
7
Calculate the remainder when 28 is divided by 18 - ((3 - -3) + -3).
13
Suppose 31*d - 592 = 15*d. Calculate the remainder when 133 is divided by d.
22
Let q = 4 + 2. Let v be 4/q*(-360)/(-8). Let d = v + 0. What is the remainder when d is divided by 11?
8
Let a = -49 - -56. Suppose 7*d - 2*d = 2*g - 33, -d - 15 = -g. Let c = g - a. What is the remainder when c is divided by 4?
3
Suppose 6*f - 4*f = -3*d - 62, 0 = 4*d + f + 76. What is the remainder when 11/9 + 4/d + 7 is divided by 5?
3
Suppose -3*b + 24 = 2*k + 4, -2*b - 12 = -5*k. Let d(h) = -h**2 + 2*h + 1. Let w be (0 + -3)/((-45)/6)*5. What is the remainder when b is divided by d(w)?
0
Calculate the remainder when 132/126*261 - 12/(-21) is divided by 71.
61
Let n = 778 - 745. Calculate the remainder when 86 is divided by n.
20
Let s(j) = -j**2 + 36*j - 39. Suppose 0 = 2*l + 3*x - 2 - 2, 4*l - 5*x - 52 = 0. Calculate the remainder when s(34) is divided by l.
5
Suppose -7*b = -54 - 317. Calculate the remainder when b is divided by 8.
5
Let t(x) = -x**3 + 6*x**2 - 4*x - 5. Let n = 5 - 18. Let d = 19 + n. Calculate the remainder when t(4) is divided by d.
5
Suppose 4 = -5*y + 3*v + 9, -2*v = -4*y + 4. What is the remainder when (-4)/(-6) + (-4)/(-3) is divided by y?
0
Let f = -564 + 846. What is the remainder when f is divided by 31?
3
Suppose 9*h - 10 = 80. What is the remainder when 251 is divided by (-351)/(-15) + h/(-25)?
21
Suppose -q + 5*a + 16 = 63, 3*q = 2*a - 180. Let b = q - -78. Calculate the remainder when b is divided by 9.
7
Let w be 2/4*0 + 3. Suppose b + w*b - 56 = 0. Calculate the remainder when b is divided by 4 - (-1 + 2)*0.
2
Suppose 8*r - 207 = 9*r. Suppose 4*o - 2*o - 648 = 0. Let n = o + r. Calculate the remainder when n is divided by 30.
27
Suppose -9*u = -35*u + 1222. Calculate the remainder when u is divided by 14.
5
Let b(y) = 17*y**2 + 4*y - 2. Suppose 26*l - 5 = 21*l. Suppose -292 = -7*a + 3*a. What is the remainder when a is divided by b(l)?
16
Let v = -47 - -90. Suppose 2*c - 309 + v = -4*t, 4*c - 118 = -2*t. Suppose -3*d + t = -3*o + 3, 2*d = -o + 29. What is the remainder when 31 is divided by d?
14
Suppose 0 = 3*m - m - 140. Suppose -w = -m - 59. What is the remainder when w is divided by 44?
41
Let u = -60 + 73. Suppose u = x - 1. Calculate the remainder when 69 is divided by x.
13
Let p = 14 - -2. Suppose -14 - p = -6*t. Suppose t - 19 = -2*u. Calculate the remainder when 26 is divided by u.
5
Let q = 28 + -40. Let k = 18 + q. What is the remainder when (10 - 2) + 5 + -3 is divided by k?
4
Suppose 61*y - 53*y - 352 = 0. Calculate the remainder when y is divided by 25.
19
Let g = 32 - 20. What is the remainder when 45 is divided by (72/(-21))/(g/(-42))?
9
Let u(m) = m**3 - 2*m**2 + 1. Suppose s = 1 - 0. Let t be u(s). Suppose r + 3*r - 84 = t. What is the remainder when 60 is divided by r?
18
Let j(q) = -60*q + 281. Suppose 4*l = -1 - 7. Calculate the remainder when j(4) is divided by l/(-9) + (-392)/(-18).
19
Let d(b) = -61*b - 36. What is the remainder when 41 is divided by d(-1)?
16
Let l(b) = 15*b**2 + 5*b - 12. Let m be l(9). Suppose -5*o + m = o. What is the remainder when o is divided by 30?
28
Suppose o + 3*x - 11 = 2*o, 4*o + x - 21 = 0. Let w be (20/30)/(o/(-18)). What is the remainder when -3 + w*(-14)/6 is divided by 3?
1
Let h = -95 + 97. Suppose -m = -5*m - 3*r + 46, 28 = h*m + 4*r. What is the remainder when m is divided by 8?
2
Let q be (-30)/(-2) - -2 - 3. Let y = q + -7. Calculate the remainder when 13 is divided by y.
6
Suppose -39 = 4*p + 5. Let g = 27 + p. What is the remainder when g is divided by 10?
6
Suppose 5*t = 4*n + 72 + 57, -n - 141 = -5*t. Let r(y) = 3*y - 2. Calculate the remainder when t is divided by r(4).
9
Let f = 914 + -687. Calculate the remainder when f is divided by 11.
7
Let w be 0 + (-3 - -2) - 2. Let t = w - -5. Let b = 5 + -4. What is the remainder when t is divided by b?
0
Let h = 2 + 9. Let r(a) = -4 + h - a + 3*a - 11*a. What is the remainder when r(-8) is divided by 20?
19
Let r(y) be the second derivative of 5*y**3/3 - 3*y**2/2 + 11*y. Calculate the remainder when 48 is divided by r(2).
14
Let s(b) = -b + 6. Suppose 3*q = 5*i - 24, 5*q = -3*i - i + 34. Suppose -3*t + 18 - i = 0. Calculate the remainder when s(t) is divided by 1.
0
Let q = -27 + 38. Let x = q + 18. Calculate the remainder when 83 is divided by x.
25
What is the remainder when -3 + 6/(-15)*-925 is divided by 21?
10
Calculate the remainder when (233 - 7)*(-4)/(-8) is divided by 15.
8
Let l(x) = 3*x**3 + x**2 - 4*x - 5. Let k be l(2). Suppose -19*b + 212 = -k*b. Calculate the remainder when b is divided by 9.
8
Let l(n) = n**2 + 5*n - 7. Let q(d) = d + 9. Let i be q(-7). Suppose f - 3*f - 26 = 4*k, -3*k - 23 = i*f. Calculate the remainder when 34 is divided by l(f).
6
Let c(i) = -i - 5. Let u be c(-6). Suppose -2*z + 4*n = -8, 4*n + 15 = 4*z - u. What is the remainder when 8 is divided by z?
0
Let i = -22 + 3. Let n = i + 20. Let t = n - -22. What is the remainder when 66 is divided by t?
20
Let v be -13*(-4 + 7)/(-3). Suppose -53 = -3*i - 2*i + 2*x, v = i + 2*x. What is the remainder when 52 is divided by i?
8
Suppose 11*y - 125 = 18. Suppose d + 1 - 4 = -3*t, 3*d = -4*t + 9. Calculate the remainder when y is divi