32/(-32)) + (-1)/4 is divided by i.
16
Let z(s) be the first derivative of -s**3/3 + 19*s**2/2 - 16*s - 5. Calculate the remainder when z(16) is divided by 11.
10
Let j = 50 + -26. Calculate the remainder when 37 is divided by j.
13
Suppose 4*m + 4*n - 203 = 529, 5*m - 5*n - 885 = 0. Calculate the remainder when m is divided by 70.
40
Let m(v) = v**2 + 4*v. Suppose 4*l + 3*a = 27, 3*l - 3*a = 6*l - 24. What is the remainder when m(-5) is divided by l?
2
Let i = -458 - -463. What is the remainder when 41 is divided by i?
1
Suppose 5 + 558 = 3*b - 4*w, 0 = 2*b - 5*w - 366. Let k(c) = -c**2 + 28. What is the remainder when b is divided by k(0)?
25
Let q(s) = s**3 - 11*s**2 - 3*s. Let l be q(12). Suppose -11*j = j - l. Calculate the remainder when ((-72)/10)/(6/(-20)) is divided by j.
6
Suppose -2*r + 4*z + 28 = 0, -5*r - 2*z = -13 - 45. Calculate the remainder when 45 is divided by r.
9
Suppose -2*w + 4 = -0*w, 3*y + 3*w - 12 = 0. Calculate the remainder when 26 is divided by y.
0
Let y = 278 - 250. Calculate the remainder when 109 is divided by y.
25
Let t(f) = -2*f**3 - 5*f**2 - 4*f - 4. Calculate the remainder when 59 is divided by t(-3).
8
Suppose 150 - 926 = -5*w + 3*o, 5*o = 2*w - 318. Calculate the remainder when w is divided by 83.
71
Let a be ((-1)/3 - 1)*-6. Suppose 6*h = 2*h + 3*c + a, -2*h - 6 = c. Let j(b) = 27*b**2. What is the remainder when 107 is divided by j(h)?
26
Let a = -66 + 46. Let s = a + 45. Calculate the remainder when 47 is divided by s.
22
Let v be 4/(-6) - 174/(-18). Calculate the remainder when 102 is divided by (12/v)/(6/117).
24
Suppose -58*p - 369 = -1645. Calculate the remainder when 168 is divided by p.
14
Let z be 2*4/16 - (-139)/2. What is the remainder when (78/(-15))/(1/(-10)) is divided by 7/(6/(-10) + 77/z)?
10
Suppose 0 = -u + 5*u - 144. Let b = u - 34. Calculate the remainder when 8 is divided by b.
0
Suppose -2*r - 180 = -6*r. Suppose 0*o + 3*o + 18 = 0. Let z(a) = -5*a - 14. Calculate the remainder when r is divided by z(o).
13
Suppose 0 = -4*p - 4*u + 236, p - 4*u = -4*p + 268. Calculate the remainder when p is divided by 26.
4
Suppose 5*b - 25 = 5*h - 0*h, 2*h - 18 = -5*b. Suppose -z = -b - 21. What is the remainder when z is divided by 3 + 11 + (-1 - 0)?
12
Suppose 64*q - 28*q = 648. Calculate the remainder when 304 is divided by q.
16
Suppose 0 = 62*p - 5808 - 82. What is the remainder when p is divided by 44?
7
Suppose -4 = -2*h, 5*m + 3*h = 6*m - 73. Calculate the remainder when 229 is divided by m.
71
Suppose -718 + 63 = -5*y. Suppose -y = -12*i + 373. What is the remainder when i is divided by 9?
6
Let x = -4 - -8. Suppose 14*m - 897 = -309. Suppose -3 = 3*h - m. What is the remainder when h is divided by x?
1
Suppose 21*n + 11*n - 2176 = 0. What is the remainder when 200 is divided by n?
64
Let g(i) = 13*i**3 + 17*i**2 - 13*i + 9. Let t(x) = 3*x**3 + 4*x**2 - 3*x + 2. Let m(n) = 2*g(n) - 9*t(n). What is the remainder when 51 is divided by m(-3)?
3
Let i = 71 + 3. Let s = -27 + i. What is the remainder when s is divided by 5?
2
Calculate the remainder when 311 is divided by 87 + 20*6/(-15).
74
What is the remainder when (-1 - 79/(-5))/((-84)/(-1260)) is divided by 56?
54
Let s(q) = 3*q + 3. Suppose -4*w - m - 12 = -6*w, 2*m = -4*w + 8. Suppose -215 = -42*x + 37*x. What is the remainder when x is divided by s(w)?
13
Let q = -258 + 275. Let s = -2 + -2. Calculate the remainder when (-4 - -30)/(s/(-10)) is divided by q.
14
Suppose 2*o = 2*w + 4, 2 - 9 = -2*o + w. Suppose -4*j + o*u + 99 = -0*u, -u = 3. What is the remainder when 79 is divided by j?
16
Let z(l) = -l**3 + 3*l**2 + 2*l + 4. Let w be z(6). Let d = w - -158. Suppose -q + 3 = 0, 3*i + 0*i - 54 = -q. What is the remainder when d is divided by i?
15
Let u = 2 + 0. Suppose 1 - 39 = -u*p. Let d(r) = r. Calculate the remainder when p is divided by d(7).
5
Let t(u) = -22*u**3 - u**2 + u + 1. Let c = -816 + 983. Calculate the remainder when c is divided by t(-1).
20
Let j(a) be the third derivative of 7*a**5/60 + a**4/24 + 5*a**2. Calculate the remainder when 23 is divided by j(-1).
5
Suppose -3*x = -5*f - 122, 136 + 22 = 5*x + 3*f. Let s = x + -15. What is the remainder when 130 is divided by s?
16
Let i(z) = -z**3 + 5*z**2 - 5*z + 3. Let o be (1/4)/((-2)/(-8)). Suppose o = l - 21. Calculate the remainder when l is divided by i(3).
4
Let d be (-12)/(-1)*2/4. Let l = 848 - 787. What is the remainder when l is divided by (-149)/(-7) - d/21?
19
Let g(v) = 9*v**2 - 22*v - 85. Calculate the remainder when g(-4) is divided by 32.
19
Suppose 573*w - 567*w = 126. Calculate the remainder when 99 is divided by w.
15
Let x(o) = -5*o + 12. Let s be x(2). Suppose 0 = s*h - 6, 5*h - 24 = -5*l + 2*l. What is the remainder when 10 is divided by l?
1
Let p(m) = 9*m**3 + 6*m**2 - 4*m - 3. Calculate the remainder when 88 is divided by p(1).
0
Let r(d) = -d**3 - 2*d**2 - 3*d. Let o be r(-4). Let b = o - 5. Suppose 4*l = b + 33. What is the remainder when 52 is divided by l?
16
Let f = 2811 + -2806. Let u = -10 + 22. What is the remainder when u is divided by f?
2
Let k(x) = -x - 8. Let c be k(-3). Let t(u) be the third derivative of -u**4/6 - u**3 + 2*u**2. What is the remainder when 25 is divided by t(c)?
11
Suppose 22*m = 23*m - 75. What is the remainder when m is divided by 21?
12
What is the remainder when (-441)/(-4) + 636/848 is divided by 15?
6
Let s be 16/(-136) - (-412)/34. Suppose 3*c - 27 = -s. What is the remainder when 16 is divided by c?
1
Suppose 0*d - 8 = -4*d, -2*d = -3*l + 149. Suppose -2*s = -3*w + l, w - 15 = 5*s + 15. Calculate the remainder when 88 is divided by w.
13
Suppose f + 4*z = 123, -2*z = -0*z. Calculate the remainder when f is divided by 31.
30
Let w(i) = 40*i**2 - i. What is the remainder when (1 - (-1 - 9))*(379 + -368) is divided by w(-1)?
39
Suppose j + 18 = -x + 81, -2*j = 3*x - 127. Suppose v + 80 = 6*v. What is the remainder when j is divided by v?
14
Let w(z) = -z**3 + 4*z**2 + 10*z + 7. What is the remainder when 58 is divided by w(5)?
26
Suppose 2*i + 2*y = -14, -2 - 2 = -4*i + 4*y. Let k(r) = r**2 - r - 3. Calculate the remainder when 25 is divided by k(i).
7
Let b = -241 - -315. Calculate the remainder when 78 is divided by b.
4
Suppose -3*b + 6 + 27 = 0. Suppose -5*z + 230 = -6*t, t + 85 = 5*z - 3*z. Calculate the remainder when z is divided by b.
7
Let m be (2 + (-4 - -5))*(1 - -24). Suppose -136 + m = -k. What is the remainder when k is divided by 9?
7
Suppose 2*r + 5*a = 53, -5*r = -a - 72 - 20. What is the remainder when 94 is divided by r?
18
Suppose 0 = r - 3*w + 12, 3 = r + 4*w - 20. Suppose r*j - 4*j + 61 = 0. Let x = 33 + -17. What is the remainder when j is divided by x?
13
Suppose -4*n = 2*f + f - 20, -n = -f + 2. Suppose 6 = 2*m, -4*r + 0*m + 30 = -n*m. Calculate the remainder when 13 is divided by r.
4
Let m(a) be the first derivative of a**3/3 - 9*a**2 - 48*a - 19. What is the remainder when 56 is divided by m(21)?
11
Let g = 35 + -21. What is the remainder when (-5)/((-30)/6 + 3780/763) is divided by g?
11
Let t(u) be the first derivative of 2*u**2 + 14*u + 1. What is the remainder when t(8) is divided by 12?
10
Suppose 435*k = 432*k + 42. Calculate the remainder when 18 is divided by k.
4
Let v = 555 - 522. Calculate the remainder when 95 is divided by v.
29
Let w = -53 + 280. Calculate the remainder when w is divided by 10.
7
Suppose 21 = 7*s - 7. Suppose 7*y + s = 88. Calculate the remainder when 119 is divided by y.
11
Let m be 629/51 - 2/6. Suppose 0 = -6*k + 3*k + m, -803 = -5*j + 3*k. What is the remainder when j is divided by 41?
40
Let u(q) = -q**2 - 10*q - 9. What is the remainder when u(-7) is divided by (-13)/(-5) - (-4)/10?
0
Let t be (-4)/(-14) - (-1396)/14. Let w = t - 63. What is the remainder when w is divided by 3*(8/(-44) - 447/(-99))?
11
Suppose -42*i + 3703 = -19*i. What is the remainder when i is divided by 27?
26
Let g = 216 - 193. Calculate the remainder when g is divided by 9.
5
Calculate the remainder when 84 is divided by -77*(-7 - (-282)/42).
18
Suppose 4*d - 6 = 6. Suppose -72 = -4*q - 0*q + i, 0 = d*q + 3*i - 69. What is the remainder when 93 is divided by q?
17
Suppose 3*f - 218 = -5*q, -4*q + 3*q + 74 = f. Calculate the remainder when 300 is divided by f.
72
Let y be