at is the remainder when ((-44)/(-6))/(6/27) is divided by b?
9
Suppose 0 = -k - 2*g + 46, -k - 4*g + 18 = -9*g. Calculate the remainder when 113 is divided by k.
37
Let u = -23 - -25. Suppose n - 2 = -3*r, u*r - 4*n + 2 = 8. Calculate the remainder when 1 is divided by r.
0
Let s(j) = j**3 - 12*j**2 + 20*j + 3. Let y be s(10). Suppose -5*h + 87 = 3*p, h + 2*p + y = 19. Calculate the remainder when h is divided by 10.
8
Suppose 882 = 34*o + 8*o. Calculate the remainder when 754 is divided by o.
19
Let m = -59 - -107. What is the remainder when m is divided by 10?
8
Suppose 0 = -4*p - 5*s + 72, 0 = -3*p - 3*s + 5*s + 31. What is the remainder when 178 is divided by p?
9
Suppose 14*o - 18*o = -5*d + 93, -d + 4*o = -9. Let v = -4 - -45. Calculate the remainder when v is divided by d.
20
Let c = 66 + 17. Let v(f) = -2*f + 21. Let w be v(9). Suppose 0 = w*k + 5*a - 74, -118 = 2*k - 6*k + 3*a. What is the remainder when c is divided by k?
27
Let g(x) = -14*x - 6. Let r be g(-5). Let i = 13 - 9. Suppose -i*k + 152 - r = 0. Calculate the remainder when k is divided by 13.
9
Let d = 159 - 150. What is the remainder when 80 is divided by d?
8
Suppose t + 0*s = -2*s + 41, -44 = -t + s. Suppose 2*q + 2*q = 8. Calculate the remainder when t is divided by 69/6 + q/(-4).
10
Suppose -5*m = -3*p - 79, p - 61 = -5*m - 2*p. Calculate the remainder when m is divided by 8.
6
What is the remainder when 143 is divided by (-87)/(-24)*(2 + 6)?
27
Let l be 3/5 + 106/(-10) + 8. Calculate the remainder when 35 is divided by (-9)/((-6)/(-16)*l).
11
Let d(j) = 2*j**3 + 3*j**2 - 2*j - 18. Calculate the remainder when 216 is divided by d(3).
45
Let y(j) = -10*j - 292. Calculate the remainder when 284 is divided by y(-31).
14
Suppose 4*z + 264 = 12*z. Calculate the remainder when z is divided by 64/8 + 2/2.
6
Let l be (-1 - 4/(-2))/((-7)/42). What is the remainder when 29 is divided by (5 + -29)/l - -4?
5
Let u = 12 - 8. Suppose u*b - 5*b + 28 = 0. Calculate the remainder when b is divided by 8.
4
Let i(s) = 13*s**2 + 4*s + 55. Let m be i(17). Calculate the remainder when 3/2*m/60 is divided by (-148)/(-6) - (-2)/6.
22
Let d be -2*(2 + -1) - -21. Let y = -4 + d. Calculate the remainder when ((-53)/6 + 4)/(2/(-12)) is divided by y.
14
Let t = -8 + 22. Let l(k) = 0 + 1 + 3*k**3 + 5*k**2 - 2*k**3 + 2*k - 2*k**3. What is the remainder when l(3) is divided by t?
11
Let t(w) = -w**2 + 4*w + 7. Let q be t(5). Suppose -q*b + b = -3. Suppose 89 = b*n + 4*o, -3*o + o = -2*n + 50. Calculate the remainder when 78 is divided by n.
24
Let c = 567 - 553. Calculate the remainder when 39 is divided by c.
11
Let n = 73 - 55. Calculate the remainder when (n/(-21))/3 + (-260)/(-28) is divided by 2.
1
Suppose 0 = z - 0*z + 5*p - 8, 4*z + 16 = -4*p. What is the remainder when z*(4/(4/(-9)) - -3) is divided by 22?
20
Suppose 0 = -4*n - 19 + 31. Let w be 23 - (0 + 12/n). What is the remainder when 11 is divided by w + -22 - 20/(-2)?
4
Let s(w) = 2*w**3 + 13*w**2 - 7*w + 3. Let v be s(-7). Suppose -28 - 2 = -v*n. Calculate the remainder when 59 is divided by n.
9
Let a = 16 + -10. Let o = -15 + 29. Let w = 29 - o. What is the remainder when w is divided by a?
3
Let u(a) = -6*a + 219. Calculate the remainder when u(-51) is divided by 8.
5
Suppose 0 = g - 233 + 170. What is the remainder when 818 is divided by g?
62
Let m = 19 + -13. What is the remainder when 1/(-2)*(-1 + -137) is divided by m?
3
Let s = 23 + -22. Suppose 4*d - 215 = 5*c, -3*c + 4*c - s = 0. Suppose 6*z - d = 5*z. Calculate the remainder when z is divided by 14.
13
Let p = 38 + -5. Let m(v) = v**3 + 15*v**2 + 8*v + 46. Calculate the remainder when m(-14) is divided by p.
31
Suppose -16 = -5*f + 44. Suppose -f*b + 7*b + 35 = 0. Let i = 5 - 3. Calculate the remainder when b is divided by i.
1
Let x = 837 - 799. What is the remainder when 265 is divided by x?
37
Let u = -1910 - -1917. Let b(k) = -k**3 - 3*k**2 + 7*k + 3. Suppose -q - 5*m = 5, -3*q + 6*q - 4*m = -15. Calculate the remainder when b(q) is divided by u.
4
Suppose -3*w = -4*t + 2*t - 58, 0 = -3*t + 3. Calculate the remainder when 35 is divided by w.
15
What is the remainder when (2 - -2) + (677 - 81/(-9)) is divided by 63?
60
Suppose 5*q + 6*z - 2*z = 51, -3*q + 2*z = -13. Suppose q*f + 354 = 9*f. Calculate the remainder when f is divided by 30.
27
Let a(y) = 2*y - 7. Let t = 55 - 44. What is the remainder when t is divided by a(5)?
2
Let q = 411 + -578. Let x = -84 - q. What is the remainder when x is divided by 17?
15
Suppose 9*q - 10581 = 146883. What is the remainder when q/408 + (-4)/(-34) is divided by 16?
11
What is the remainder when (-3)/(-15)*(-2955)/(-3) is divided by 6?
5
Let n be (2/(-6))/((-4)/444). Let r = -16 + n. What is the remainder when 82 is divided by r?
19
Suppose 7*b = -4*l + 5*b + 270, 0 = 2*l - 2*b - 132. What is the remainder when 140 is divided by l?
6
Suppose -8*q + 14678 - 14318 = 0. Calculate the remainder when q is divided by 3 - (-1 - (1 + 12)).
11
Calculate the remainder when ((-724)/5)/(28/(-70)) is divided by 73.
70
Let p(v) = -v**3 - 24*v**2 + 141*v - 68. What is the remainder when 132 is divided by p(-29)?
36
Suppose 22*r - 25*r + 30 = 2*y, 5*r = -2*y + 26. What is the remainder when 104 is divided by y?
14
Suppose 55*h + 236 = 841. Calculate the remainder when 262 is divided by h.
9
Let f = -1860 - -2128. What is the remainder when f is divided by 134?
0
Let t = -149 + 154. Let y be ((-4)/6)/((-4)/30). Suppose 4*x = -t*q + 112, -x - 104 = -y*x - 3*q. Calculate the remainder when x is divided by 13.
10
Let s(v) = v**3 - 3*v**2. Suppose 3*m + 2*m = -j + 20, -4*j + 17 = -m. Let i be s(m). What is the remainder when i/12 + (3 - 1) is divided by 2?
0
Let s = 85 + -91. Let u(d) = -3*d**3 + d. Let p be u(1). Calculate the remainder when p + 2/(s/(-39)) is divided by 4.
3
Suppose 5*g - 30*g + 2800 = 0. What is the remainder when 783 is divided by g?
111
Suppose -960 = 19*c - 31*c. What is the remainder when 237 is divided by c?
77
Let r = 1663 - 1650. Calculate the remainder when 4/(-5)*(-500)/8 is divided by r.
11
Let n(a) = a**3 - 7*a**2 + 4*a - 5. Suppose 0 = 2*z + 19*z - 1386. What is the remainder when z is divided by n(7)?
20
Suppose -2*m - 8 = 5*x - 4, m = 4*x + 11. Suppose m*g - 186 = -g + 2*w, -2*w = -g + 42. What is the remainder when g is divided by 0*(-1)/2 + 17?
14
Suppose 58 = 96*n - 98*n. Let d = 128 + n. Calculate the remainder when d is divided by 17.
14
Let h(q) = -q**3 + 5*q**2 + 6*q + 5. What is the remainder when (4 + 5)*(1 + 4/4) is divided by h(6)?
3
Let m(b) be the second derivative of b**3/2 + 19*b**2/2 + 32*b. What is the remainder when m(11) is divided by 14?
10
Let d = -88 + 76. Calculate the remainder when 42 is divided by 11 + ((-4)/(-6) - (-8)/d).
9
Suppose 3*f + 0*v - v = 70, -140 = -5*f - 3*v. Calculate the remainder when f is divided by 13.
12
Let j be (-8)/(-2)*(-18)/12. Let g be (-6)/5*25/(-15)*2. Calculate the remainder when (9/j)/(g/(-248)) is divided by 32.
29
Let k = 448 - 422. Calculate the remainder when 150 is divided by k.
20
Let h(a) = 85*a + 44. Calculate the remainder when h(3) is divided by 25.
24
Let w(a) = -7*a + 172. What is the remainder when w(-6) is divided by 24?
22
What is the remainder when (161 - -4) + 8 - 6 is divided by 17?
14
Let f(a) = -14*a**2 - 80*a - 3. Calculate the remainder when 136 is divided by f(-5).
42
Let m = -501 - -528. Calculate the remainder when (3/2)/(3/200) is divided by m.
19
Let n(u) = u**3 + 7*u**2 - 2*u - 12. Let i be n(-7). Calculate the remainder when 27/i + -3 - (-6)/4 is divided by 8.
4
Suppose -6 = -12*c + 534. Calculate the remainder when c is divided by 24.
21
Let h = -149 - -156. Calculate the remainder when 144 is divided by h.
4
Suppose 2*i - 23*i = -252. Calculate the remainder when 21 is divided by i.
9
Let a(v) = -47*v + 844. Calculate the remainder when 252 is divided by a(17).
27
Let x(w) = 23*w - 10. Let s(a) be the first derivative of -45*a**2/2 + 19*a - 4. Let y(z) = -3*s(z) - 5*x(z). What is the remainder when y(3) is divided by 14?
11
Suppose -421 = -9*t - 61. Calculate the remainder when 143 is divided by t.
23
Suppose 5*m - 4*l + 112 = 0, 4*m - 2*m + 2*l + 52 = 0. Calculate the remainder when (-6)/m - (-134)/8 is divided by (-2)/(-6)*81