*f. Let a(l) = -5*n(l) + w(l). What is the remainder when a(b) is divided by 11?
10
Suppose -8 = 7*i - 8*i. What is the remainder when 46 is divided by i?
6
Let j = -309 - -340. Calculate the remainder when 76 is divided by j.
14
Let k(l) = -l**3 - 10*l**2 - 12*l - 88. What is the remainder when 157 is divided by k(-10)?
29
Let j = 537 + -531. Let w(m) be the third derivative of m**4/8 + m**3/2 + m**2. What is the remainder when 38 is divided by w(j)?
17
Let f be 4 + 9/(-3) - 2. Let a = 11 + f. Calculate the remainder when 17 is divided by a.
7
Suppose -5*m + 62 = -24*x + 26*x, -2*m = 4*x - 124. Calculate the remainder when (-6*1*-15)/1 is divided by x.
28
Suppose 9*v - 134 = 316. Suppose 0*h = 2*h - 34. Calculate the remainder when v is divided by h.
16
Suppose -5*r + 80 = -r. Suppose -r = -2*x - 0*x. Let t(m) = -m**3 - 9*m**2 - 14*m - 10. What is the remainder when t(-8) is divided by x?
8
Suppose 5*v - 2*v - 336 = 0. What is the remainder when v is divided by 26?
8
Suppose 0*r + d + 150 = 3*r, -5*r + 3*d + 254 = 0. Suppose 0 = -2*b - 44 + 2. Let n = 34 + b. What is the remainder when r is divided by n?
10
Suppose 5*b = 0, 0 = -4*p + 5*b - 812 + 80. Let h = -297 - p. What is the remainder when 31 is divided by 26/(-91) + h/(-7)?
15
Let f = -41 - -60. Let y be 2*3 - (-16)/(-8). Let o = y - -33. What is the remainder when o is divided by f?
18
Let w(a) = -17*a**3 - 6*a**2 - a + 2. Suppose -3*t = -l + 68, 8 = 3*t - 7. What is the remainder when l is divided by w(-1)?
13
Let n(p) = -p**3 - 11*p**2 + 12*p + 4. Let o be n(-12). Suppose o*u = 3*a + 143, -2*u = -2*a - 4 - 70. What is the remainder when u is divided by 12?
8
Let y(t) = t**3 + 4*t**2 - 7*t - 7. Let v be y(-5). Suppose -a + v*a + 68 = 0. Let p = a - -65. What is the remainder when p is divided by 11?
9
Let z = -29 + 31. Suppose 3*p - 266 = -v, 2*p + z*v - 177 = v. What is the remainder when p is divided by 23?
20
Let p(c) = -37*c - 5. Let l be p(-1). Suppose 0*x - l = -2*x. What is the remainder when 45 is divided by x?
13
Suppose 4*a + 5*d - 9 = 5*a, 2*a - 52 = -4*d. Suppose -5*w + 2*w = -x - 10, -5*w + 5*x = 0. What is the remainder when a is divided by w?
1
Let p be 163*(-4 - 0 - -3). Let f = p - -237. What is the remainder when f is divided by 38?
36
Let y be (-1)/(-6) - 22/(-12). Suppose 3*j + 2*j = c - 78, y*j + 180 = 2*c. Calculate the remainder when c is divided by 19.
17
Let v = 1 + 0. Let g be (-2 + v)/((-1)/(-5)). What is the remainder when 2/((5/(-12))/g) is divided by 9?
6
Suppose 133 = 4*v + 5*o, -2*v + 5*v - 94 = 2*o. What is the remainder when v is divided by 12/2 + -12 - 1*-23?
15
Suppose y + 4*v - 105 = 0, 4*y - 386 = -0*y + v. What is the remainder when y is divided by 63*2*(-14)/(-126)?
13
Let g = 13 - 11. Suppose -g*m + 3*m + 4 = 4*n, -2*n = -4. Let r(q) = -13*q**3 + q**2 + 2*q + 2. Calculate the remainder when r(-1) is divided by m.
2
Let n be (4/(-2) - 8*26)/(-1). What is the remainder when n/4 - (42/(-12) + 4) is divided by 27?
25
Let d(r) = -r**2 + 15. Let n be d(0). Suppose 1 = -2*y + n. Suppose 2*g = 3*g - 5. What is the remainder when y is divided by g?
2
Suppose -2 = -v - 0*v, -4*i + 4*v + 1488 = 0. What is the remainder when i is divided by 47?
45
Let h = -478 - -34. What is the remainder when h/(-22) - (-3)/(-33)*2 is divided by 6?
2
What is the remainder when 134 is divided by 465/(-10)*(-7)/(-21)*-2?
10
Let g(z) = z**2 + z + 3. Let r be g(7). Let l = r + -16. Calculate the remainder when l is divided by 15.
13
Let k(s) = -s**3 - 3*s**2 - 12. Calculate the remainder when k(-6) is divided by 37.
22
What is the remainder when 4 is divided by 2/6 + 30/18?
0
Let p(v) be the second derivative of 4*v**3/3 - v**2 - 7*v. Let h be p(2). Suppose -h = -f + 2. Calculate the remainder when f is divided by 5.
1
What is the remainder when 403 is divided by 9/15 - 364/(-10)?
33
Suppose 2*z + j - 686 = 0, -5*j - 2295 = -5*z - 595. Suppose t = -a + 158 + 12, 4*t - z = -2*a. What is the remainder when a is divided by 19?
17
Suppose -5*g + 4*r = -95, 40*g - 43*g = -3*r - 54. What is the remainder when g is divided by 9?
5
Let x(m) = 5*m**2 + 1. Let b(z) = -2*z**3 + 11*z**2 + 4*z + 14. Calculate the remainder when x(1) is divided by b(6).
0
Let g(v) = -38*v**2 - 2*v - 1. Let h be g(2). Let f = h + 225. Calculate the remainder when f is divided by 9.
5
Suppose -4*c = -59 - 13. What is the remainder when 195 is divided by c?
15
Let r = -327 - -330. Suppose -4*s + 7*s = 24. What is the remainder when s is divided by r?
2
Let n = 851 + -849. Let v = 2 + 3. Calculate the remainder when v is divided by n.
1
Calculate the remainder when 63 is divided by (18 - 10) + -5 - -2.
3
Let z = -17 + 26. Suppose 0*t = -f - t + 22, 3*f = 2*t + 86. Calculate the remainder when f is divided by z.
8
Let m(v) = 2*v**3 + 33*v**2 - 3*v + 243. Suppose -5*j + 51 + 89 = 0. What is the remainder when j is divided by m(-17)?
3
Let g = -1001 - -1054. What is the remainder when 255 is divided by g?
43
Suppose 3*o - 1 = -2*z, 2*o + 3 = 6*o + 3*z. Let b = o + 16. Calculate the remainder when (74*-1)/((-6)/3) is divided by b.
11
Suppose 2*w + 10 = 2*m, -w = 5*m - 11 - 14. Suppose -f - 15 = -j - w, 15 = j - 2*f. Calculate the remainder when j is divided by 6.
3
Let z be (-30 - -1)*8/(-4). Suppose 0 = 2*w - 0*w - z. Suppose 0 = 3*p - 5*p - 5*r - 5, 15 = -3*r. Calculate the remainder when w is divided by p.
9
What is the remainder when -5*(12/(-55) - (-14)/(-77)) is divided by 2?
0
Let y(t) = t + 26. What is the remainder when 56 is divided by y(4)?
26
Let g(n) = -n**2 + 6*n - 6. Let m be g(3). Suppose h = 3*s + 3*h - 49, s + m*h = 14. Calculate the remainder when 53 is divided by s.
2
Suppose -2*k = -2, 0*k = -3*h - 4*k + 40. Let l = -5 - -36. What is the remainder when l is divided by h?
7
Suppose 0 = 2*l + 2*f - 14, -2*l + 17 = 3*f. Suppose 0*i + 5*m = l*i - 119, -3 = m. What is the remainder when 51 is divided by i?
25
Suppose 8*k + 15 = 111. Let b = k + 8. What is the remainder when 77 is divided by b?
17
Suppose 0 = 5*t - 5*m - 100, -6*m + m = 0. Suppose 2*q = -5*u - 26 + 165, u - t = -3*q. What is the remainder when 83 is divided by u?
25
Let d(i) = i**3 - 6*i**2 + 7*i - 6. Let r be d(5). Let u(v) = -590*v**3 + 2*v**2 + 591*v**3 - 5*v - 4*v**2. Calculate the remainder when 23 is divided by u(r).
11
Let p(d) be the first derivative of d**4/4 + 5*d**3 + 15*d**2/2 + 24*d - 3. Calculate the remainder when 48 is divided by p(-14).
8
Let a = -497 - -540. What is the remainder when 253 is divided by a?
38
Calculate the remainder when -12*(-6)/8 + 536 is divided by 111.
101
Suppose -2*f = 2*p - 40, 31 = 4*f - p - 29. What is the remainder when 542 is divided by f?
14
Suppose 198 = 3*j + o, 0 = 28*o - 25*o + 9. Calculate the remainder when j is divided by 57.
10
Let v = 3030 - 3007. What is the remainder when v is divided by 16?
7
Let l(p) = 2*p**2 - 7*p. Let w be l(6). Suppose 4*g = -g - w. Let x = 26 + g. Calculate the remainder when 77 is divided by x.
17
Suppose 49*b - 45*b = 252. Calculate the remainder when 188 is divided by b.
62
Let r(b) = -3*b + 3. Let q be r(-16). Let k = q - -12. What is the remainder when k is divided by 16?
15
Let h = -12 + 14. Suppose -2*d + 4 = -3*t + 8, -2*t = -h*d. Suppose 3*n - 2*g = 21, d*g - 42 = -3*n - g. What is the remainder when 33 is divided by n?
6
What is the remainder when 324 is divided by (8 - 6) + 0 + (82 - 0)?
72
Suppose -31 = -3*s + k + 30, -6*s + 117 = -3*k. Let j = 101 - 39. Calculate the remainder when j is divided by s.
18
Suppose 0 = 2*z, -5*z = -3*y - 0*y + 837. Suppose -5 + y = 5*w - 2*p, -w + 59 = p. Calculate the remainder when w is divided by 12.
8
Let j(p) = -2*p - 11. Let z be j(6). What is the remainder when 2 - (3 + -5) - z is divided by 5?
2
Suppose -2 = n, -h + 2*n - 4*n = -44. Let j be (0 - (-6)/9)*6. Suppose j*b + 2*w - h = 0, 2*b - 38 = -b - 2*w. Calculate the remainder when 17 is divided by b.
7
Let q(v) = 5*v - 13. Let t be q(11). Suppose 6*o + o = t. Let m = 16 - o. What is the remainder when 19 is divided by m?
9
Let r = -15 + 59. Suppose -4*v - 5*v = 7*v - 512. What is the remainder when r is divided by v?
12
Let i = -430 - -443. Calculate the remainder when i is divided by 3.
1
Let o = 40 - 60. Let a be 1*o/(-8)*2. Let w(q) = 4*q - 4. 