 divided by 4?
1
Let g be (-4)/(-14) + (-165)/(-35). Suppose -b - 4 = b, -g*b - 58 = -3*m. What is the remainder when 93 is divided by m?
13
What is the remainder when (15/2)/(45/252) is divided by 4?
2
Suppose 0 = y - 5*y. Suppose 5*r + 15 = y, 7*r = 3*b + 2*r - 267. What is the remainder when b is divided by 17?
16
Let v(l) = 4*l - 16. Let g be v(5). Let h(t) = -t**3 + 4*t**2 + 8*t - 11. Calculate the remainder when 39 is divided by h(g).
18
Let g(v) = -6*v - 2. Let w be g(-5). Suppose 5*c = c + w. Let t(j) = 11*j**3 - j**2 + 2*j - 2. Calculate the remainder when t(1) is divided by c.
3
Suppose 5*j - 150 = 8*j. What is the remainder when (1 - j)*(-5 + 6) is divided by 13?
12
Let y = 5 + -1. Suppose -y*f - 5*r = 24, 3*f = 2*r + r + 9. Let u = f - -8. What is the remainder when 27 is divided by u?
6
Calculate the remainder when (2 - 1 - 3)/((-2)/19) is divided by 11.
8
Let k be 2/(-3) - (-128)/48. Suppose -4*x + 60 = k*x. Suppose -3*g = -8*g + 245. What is the remainder when g is divided by x?
9
Let z = 894 - 782. Calculate the remainder when z is divided by 28.
0
Let r(d) = d**2 + d. Let b be r(0). Suppose 0 = 2*g + 8 - 14. Suppose -2*j + 3*j - g = b. What is the remainder when 11 is divided by j?
2
Suppose 0 = -x + r + 3*r + 20, -3*r + 27 = x. Calculate the remainder when 335 is divided by x.
23
Suppose 14 = 3*h - 4*n, 8 = 2*h + 2*n - 4*n. Let q be (3 - 1)/(-1*h). Calculate the remainder when (q - -3) + 32 + 1 is divided by 18.
17
Suppose 0 = u + 3, -u = 3*h - 4*u - 78. Calculate the remainder when (-118)/(-3) - h/69 is divided by 20.
19
Let h be (-1*6)/2 - 56/(-8). Suppose 0 = 5*o + a - 2 - 29, 4*a = h*o - 20. Calculate the remainder when 9 is divided by o.
3
Suppose 10*d = 36 + 764. What is the remainder when 1038 is divided by d?
78
Suppose -p + 3*q - 357 = -5*p, 364 = 4*p - 4*q. Calculate the remainder when 3/(6/p*(-2)/(-4)) is divided by 31.
28
Let o(a) = 65*a**2 + 6*a + 3. What is the remainder when 1238 is divided by o(-1)?
60
Suppose -896 = 119*r - 12915. Calculate the remainder when 298 is divided by r.
96
Calculate the remainder when (-2)/(-2)*(-70)/20*-166 is divided by 44.
9
Let t be 4/(-8) - (-6)/4. Let b be (-15)/20*(13 - t). Calculate the remainder when b/(-12)*52/1 is divided by 10.
9
Suppose -93*c + 395 = 5*i - 96*c, -2*c = -3*i + 236. What is the remainder when i is divided by 49?
33
Let x = 319 - 294. Calculate the remainder when 120 is divided by x.
20
Suppose 9 = 3*q + 18. What is the remainder when 15 is divided by 2 + (-6)/q + (2 - 0)?
3
Let u = -117 - -178. What is the remainder when (-1)/((-2)/736) - 3 is divided by u?
60
Let s = -9 + 23. Let v(u) = u**3 - 14*u**2 + 3*u - 5. Let c be v(s). Suppose 4*b + j - c = 462, b - 3*j = 128. What is the remainder when b is divided by 32?
29
Let g be (-20)/(-25) - (-196)/5. Let r = -27 + g. Let c(m) = -m**3 + 7*m**2 + m - 4. What is the remainder when c(5) is divided by r?
12
Calculate the remainder when (-576)/(-5) - (-18)/(-90) is divided by 22.
5
Let p = 6 + -6. Suppose -2*a + 28 - 168 = p. Let v = 136 + a. What is the remainder when v is divided by 17?
15
Suppose -3*r + 371 = 197. What is the remainder when r is divided by 2?
0
Let c = -712 - -723. What is the remainder when 84 is divided by c?
7
What is the remainder when (-1)/(712/(-2100) - (-2)/6) is divided by 44?
43
Let i(y) = -126*y - 21. Calculate the remainder when i(-2) is divided by 47.
43
Suppose 47*n - 576 = 1586. Calculate the remainder when 378 is divided by n.
10
Suppose 0*h + 9 = -h + 3*g, 4*g = 20. Suppose -h*p = -4*p - 20. Calculate the remainder when ((-15)/p)/(1/(-38)) is divided by 20.
17
Let u(y) = -y**3 + 0*y**3 - 5*y**3 + 3*y**3 + 5*y - 3 - 2*y**2. Let n(v) = -v**3 - 10*v**2 - 29*v + 5. Calculate the remainder when u(-4) is divided by n(-6).
32
Let g(n) = 7*n + 1. Let v be (-2)/(-3)*(2 + (9 - 5)). Suppose -99 = -u + v*t, 353 = 6*u - 3*u + 2*t. Calculate the remainder when u is divided by g(4).
28
Let d = 1782 + -1767. What is the remainder when (-4)/10*(1 - 96) is divided by d?
8
Suppose -79 - 41 = -4*s. Let d = 42 - s. What is the remainder when 58 is divided by d?
10
Suppose -3*s + 4*s - t - 5 = 0, -2*s + 5*t = -16. Suppose l = -5, -2*l + 155 = s*a - 0*l. What is the remainder when a is divided by 8?
7
Suppose -9*d = 27 + 342. Let o = -2 - d. Calculate the remainder when o is divided by 14.
11
Suppose 19*s = 17*s - 56. Calculate the remainder when 147 is divided by (-3)/(-3 + s/(-10)).
12
Let c(n) = n - 2. Let d(r) be the second derivative of -r**4/12 - 7*r**3/6 - 3*r**2 + 5*r. Let i be d(-4). Calculate the remainder when 5 is divided by c(i).
1
Suppose c = 3*c + 32. Let u = c - -2. What is the remainder when 38 is divided by (7/u)/(2/(-52))?
12
Let p = -31 + 48. What is the remainder when 80 is divided by p?
12
Suppose 175 = 5*r - 5*d, 2*r - d - 128 = -2*r. Let x = 69 - r. Calculate the remainder when 74 is divided by x.
36
Let q(f) = f**3 - 5*f**2 + 2*f - 4. Let v = -8 - -13. Let c(o) = -o**3 + 26*o**2 - 72*o + 80. Calculate the remainder when c(23) is divided by q(v).
5
Suppose 12*p = 381 - 45. Calculate the remainder when p is divided by 20.
8
Let w(t) = -t. Let y(s) = -38*s - 10. Let b(q) = -2*w(q) + y(q). What is the remainder when b(-3) is divided by 9?
8
Let d = 45 - 9. Suppose -4*b + g = -39, 0 = -3*b - 0*g - 5*g + 35. What is the remainder when d is divided by b?
6
Suppose -10*s - 2*d = -7*s - 115, -4*s = -3*d - 125. Calculate the remainder when s is divided by 29.
6
Calculate the remainder when 60 is divided by (-324)/(-15) + 24/(-40).
18
Suppose 0 = -g + 2*p + 75, 0*g + 3*p + 148 = 2*g. Let o = g - 47. What is the remainder when o is divided by 7?
3
Suppose -3*r + 2*t = 16, -3*r - 2*t = -0 + 20. Let y(a) = -14*a - 17*a + 28*a - 3 - 12. What is the remainder when 8 is divided by y(r)?
2
Suppose -17*o = -18*o + 6. Suppose -p - 4*u = -33 - 25, 2*p + 5*u = 101. Let s = p + -28. What is the remainder when s is divided by o?
4
Suppose 7*g = 5*i + 4*g - 1888, g = 5*i - 1886. What is the remainder when i is divided by 14?
13
Suppose -26 = -3*c + 10. What is the remainder when 191 is divided by c?
11
Suppose 4*d - 15*s + 12*s = 509, 0 = 3*d + 5*s - 360. What is the remainder when d is divided by 33?
26
Suppose -6*t + 4*t = -72. Calculate the remainder when 138 is divided by t.
30
Suppose 4*g = -5*y + 225, -4*y + 3*y + 64 = -3*g. Calculate the remainder when 435 is divided by y.
43
Suppose 66 = 38*g - 10. Calculate the remainder when 19 is divided by g.
1
Suppose 0 - 16 = -b. Calculate the remainder when 52 - (9 - (-3 + 7)) is divided by b.
15
Let n be -2 + -2*1/2. Let d = n - -19. What is the remainder when 45 is divided by d?
13
Let c be (-22)/2*(-1)/1. Let l be (11/((-55)/10))/(3/6). Let j = c + l. Calculate the remainder when 13 is divided by j.
6
Let m = 657 - 653. What is the remainder when 79 is divided by m?
3
Let g(r) be the third derivative of -r**6/120 + 7*r**5/30 + 5*r**4/8 + 7*r**3/6 - 23*r**2. What is the remainder when 47 is divided by g(15)?
5
Let d(q) = -2*q**2 + 34*q + 7. Calculate the remainder when 11 is divided by d(17).
4
Let w(a) = a**2 - 3*a - 5. Let d be w(-2). Suppose -j + 2*o - 74 = -d*j, o = -j + 21. Calculate the remainder when j is divided by 5.
1
Let m be 2/(-5) - 12/(-5). Suppose -102 = -m*c - 20. Calculate the remainder when c is divided by 14.
13
Suppose 3*g - 6 = 3*n, 9*g + 10 = 11*g. Suppose n*o - 1 = 17. Calculate the remainder when 15 is divided by o.
3
Let r = 2 + 0. Suppose 4 = -i - 2*x, 5*x + 4 = -3*i - 3. Let b = i - r. What is the remainder when 5 is divided by b?
1
Let y = -12 - -19. Suppose -t + y*t - 108 = 0. Calculate the remainder when t is divided by 5.
3
Suppose -4*h - 3*n + 181 = -40, n - 167 = -3*h. Let d = -9 + h. What is the remainder when d is divided by 24?
23
Let o = -11 - -7. Let z(g) = -101*g - 4 + 0 + 98*g. Calculate the remainder when 14 is divided by z(o).
6
Suppose h - 179 = -l, -3*l - h + 2*h = -549. Let c(w) = 37*w**3 - 2*w**2 - w + 3. Calculate the remainder when l is divided by c(1).
34
Let m(n) = n + 1. Let k(t) = -t - 1. Let b(i) = i - 4. Let o be b(-6). Let u be k(o). Calculate the remainder when 29 is divided by m(u).
9
Suppose h - 5908 = -5833. What is the remainder when 244 is divided by h?
19
Let g = -3707 - -3723. Let 