the remainder when 43 is divided by o?
10
Suppose -q = -3*k + 3*q + 92, -4*q = 2*k - 28. Calculate the remainder when 143 is divided by k.
23
Suppose 5*d - 25 = 0, 211 = -7*i + 9*i - 5*d. Calculate the remainder when i is divided by 32.
22
Let r(f) = -f**2 - 11*f + 7. Let n be -3 - (-38 - 2)/5. What is the remainder when r(-9) is divided by (-64)/(-10) - (-3)/n?
4
Let y = 708 - 695. What is the remainder when 113 is divided by y?
9
Let z = -239 - -252. Calculate the remainder when 426 is divided by z.
10
Suppose 0 = 2*t - 4*t - 8. Calculate the remainder when (-5)/20 + (-37)/t is divided by 5.
4
Suppose -7*c + 6 = -8. Suppose -c*j + 5*t = -44, -2*t + 46 = 2*j - 6*t. What is the remainder when (1 - (-2 + 1)) + 78 is divided by j?
26
Calculate the remainder when (-176 + 4)/((-4)/6) is divided by 40.
18
Let x(b) = 2*b**2 + 21*b - 20. What is the remainder when x(-13) is divided by 16?
13
Let t be 8/(-3)*(-48)/(-2). Let v(u) = 4*u - 8. Calculate the remainder when v(9) is divided by 122/16 - 24/t.
4
What is the remainder when (-10)/(-110) - (-746)/22 is divided by 18?
16
Suppose p + 82 = 4*j + 20, -4*p = 3*j - 37. Let n(u) = u**2 - 17*u + 51. What is the remainder when n(j) is divided by (-4)/(0 + 2/(-4))?
5
Let x = 31 + -24. Let p(u) = u**3 - 8*u**2 + 10*u - 4. Calculate the remainder when (-1)/(-1) + 1*47 is divided by p(x).
14
Let r = 12 - -21. Calculate the remainder when (-310)/(-20)*(-5)/((-5)/4) is divided by r.
29
Let x(t) = 7*t - 13. Let o = -25 + 30. Calculate the remainder when 63 is divided by x(o).
19
Suppose 2*w + 2*w - 16 = 0. Suppose w = 5*i - 4*i. Suppose -i = -c + 17. Calculate the remainder when 60 is divided by c.
18
Suppose -97*p + 137*p = 35800. What is the remainder when p is divided by 39?
37
Let c(v) = 2*v + 2. Let y(a) be the second derivative of a**5/20 - 7*a**4/12 - 5*a**3/3 - 5*a**2 + 5*a. What is the remainder when y(9) is divided by c(7)?
14
Suppose 13*s - 167 = 11*s + 3*o, -2*s + 147 = o. Calculate the remainder when 170 is divided by s.
18
Let a(b) be the third derivative of -9*b**2 + 0*b**4 + 0*b - 1/3*b**3 + 17/60*b**5 + 0. What is the remainder when a(-2) is divided by 17?
15
Let f(s) = -s**2 + 15*s + 15. What is the remainder when 942 is divided by f(15)?
12
Let z = 134 + -101. Calculate the remainder when 30 is divided by 6/z + 258/33.
6
Let t = -29 - 8. Let n(b) = b**2 + 13*b - 1. Calculate the remainder when n(-14) is divided by (-20)/50 - t/5.
6
Let b be (5/10)/((-1)/(-4)). Suppose x + 6*p = p + 34, -b*x = -5*p - 83. Calculate the remainder when x is divided by 21.
18
Let x = -1 - -81. Calculate the remainder when 185 is divided by x.
25
Suppose 0 = -5*h + 43 + 32. Let i = -5841 + 5885. What is the remainder when i is divided by h?
14
Let a(p) = 8*p - 27. What is the remainder when 109 is divided by a(17)?
0
Suppose 0 = -4*l + 5*f + 57, -2 = 3*f - 11. Calculate the remainder when 25/(3*1/6) is divided by l.
14
Let w(h) be the second derivative of 3*h**3 - 56*h**2 + h - 31. Suppose 55 + 55 = 5*b. What is the remainder when w(11) is divided by b?
20
Let q be (-14)/(-3)*63/(-14). Let k = -4 + q. What is the remainder when (-1805)/k - 2/10 is divided by 25?
22
Let o = -258 + 265. Calculate the remainder when 22 is divided by o.
1
Calculate the remainder when 149 is divided by ((3672/16)/17)/(1/6).
68
Suppose 5*n - 48 = 47. Let u = -36 + 45. Suppose 292 = -5*s + u*s. What is the remainder when s is divided by n?
16
Let b(g) be the third derivative of 29*g**5/60 - g**4/24 + g**3/6 - g**2. Calculate the remainder when b(1) is divided by 22/(5/((-65)/(-26))) - (-8)/2.
14
Let u = 1 + 639. Suppose 3*z + u = 13*z. Calculate the remainder when z is divided by 23.
18
Let j = -7 - -18. Let k = 23 - -8. Let i = k - 12. Calculate the remainder when i is divided by j.
8
Let y(k) = 16*k**2 + 2*k + 1. Calculate the remainder when y(2) is divided by 19.
12
Suppose -7*w - 112 = -2*u - 3*w, 193 = 3*u - w. Let l(z) be the first derivative of -z**2/2 + 10*z + 5. Calculate the remainder when u is divided by l(-13).
20
Let j(v) = -v**3 + 2*v**2 + 14*v - 4. Let r be j(6). Let a = -55 - r. Calculate the remainder when 29 is divided by a.
2
Suppose -5*s + 74 = -21. What is the remainder when (-239)/(-7) - (-5)/(-35) is divided by s?
15
What is the remainder when 116/(-174)*483/(-2) is divided by 60?
41
Let s = -12 - -16. Suppose -x = 4*d + 15, s*x - 9 = 4*d + 31. Suppose -2*i + 5*r + 26 = -0*i, i + x*r - 13 = 0. Calculate the remainder when 23 is divided by i.
10
Let r(w) = -12*w**3 + 3*w + 2. Let t(g) = 2*g + 51. Let m be t(-26). What is the remainder when 84 is divided by r(m)?
7
Let a = 19 - 10. Suppose -a*i + 12 = -5*i. Let p = 26 + -25. What is the remainder when i is divided by p?
0
Let n(r) = r**2 - 2*r - 2. Let v be n(3). Suppose -2*j - 7 = -6*j - 5*b, -5 = b. Suppose -q + j = -v. What is the remainder when 24 is divided by q?
6
Suppose 0 = -13*p + 64 + 49 - 35. Let z be 234/8 + 2/(-8). Let l = -19 + z. Calculate the remainder when l is divided by p.
4
Let x be (-36)/15*(-10)/4. Let m = x + -4. Suppose q - m*a - 18 = 0, 0*q - a = -3*q + 79. Calculate the remainder when q is divided by 15.
13
Let o(a) = -a**3 + 6*a**2 + 6*a - 2. Suppose -5*t + 0*l + 10 = l, l = 2*t - 11. Calculate the remainder when o(5) is divided by (-1 + 55)*t/9.
17
Suppose 33 = 4*k - 7. Let q = k + -16. Calculate the remainder when (q + 4)/((-2)/4) is divided by 1.
0
Let c be (-4 - 1 - -3) + (-72)/(-2). Let k = c + -19. Calculate the remainder when 74 is divided by k.
14
Suppose 0 = 2*k - 3*b - 118, 25*k - 286 = 20*k + 3*b. Calculate the remainder when 166 is divided by k.
54
Let a(v) = -v**3 - 5*v**2 + 28*v - 14. What is the remainder when a(-9) is divided by 54?
4
Suppose 39*b = -254 + 722. Calculate the remainder when 19 is divided by b.
7
Let j(n) be the second derivative of n**5/20 - 5*n**4/12 - n**3/2 - 3*n**2 + 4*n. Let f be j(6). Let g = f + -5. Calculate the remainder when g is divided by 3.
1
Suppose 2*v = -v + 48. Let m be (-12)/(-20) + ((-2584)/(-10) - 3). Suppose -3*s + 2*l = -7*s + m, -l = -4. What is the remainder when s is divided by v?
14
Let u(g) = -2*g**3 - 3*g**2 + 8. Let d be u(-4). Suppose 0 = 6*c - 4*c - d. Calculate the remainder when c is divided by 24.
20
Let c(i) = 14*i + 305. What is the remainder when c(-11) is divided by 31?
27
Suppose 5*f - 2*q + 4*q = 1486, -q + 3 = 0. Calculate the remainder when f is divided by 76.
68
Let s(q) = q - 4. Let t be s(3). Let k(r) = 37*r**2 - r. Let j be k(t). Suppose j = 3*h - 19. What is the remainder when 37 is divided by h?
18
Let p(a) = 13*a**2 + 23*a - 54. Calculate the remainder when p(4) is divided by 50.
46
Let q(w) = 4*w - 6. Let u be q(9). Suppose -r - 2*r + u = 4*v, 2*v = -5*r + 36. What is the remainder when 10 is divided by r?
4
Suppose 24 + 16 = 5*x. Let u(d) = -d**2 - 7*d + 14. Calculate the remainder when u(0) is divided by x.
6
Suppose -3*g + i - 65 = -2*g, -i - 75 = g. Let n = g + 145. Calculate the remainder when n is divided by 26.
23
Let v(n) be the third derivative of n**4/12 - 19*n**3/6 - 5*n**2. What is the remainder when 20 is divided by v(15)?
9
Suppose -7*l = -l - 864. Let j = 329 - l. What is the remainder when j is divided by 31?
30
Suppose 8*m - 5*m - 90 = 0. Let n = -27 + m. Suppose -11 = n*j - 137. What is the remainder when j is divided by 11?
9
Suppose 156 + 384 = 9*i. Calculate the remainder when 356 is divided by i.
56
Let f be (2 - 4/1) + 18. Suppose 2*j - 5*r - 64 = 0, -r - 4*r = 20. What is the remainder when j is divided by (-4)/f + (-49)/(-4)?
10
Let t = -119 - -66. Let s = 78 + t. Calculate the remainder when 47 is divided by s.
22
Suppose 0 = 8*s - 11*s - 3*x + 96, 5*x = -s + 40. What is the remainder when 100 is divided by s?
10
Let j(w) = w**3 - 8*w**2 + 9*w + 9. Let n = -439 - -444. Calculate the remainder when j(7) is divided by n.
3
Suppose 0 = a - 3, -2*f + 45 = f + 5*a. Let u = f - 7. Suppose -5*m + m - 29 = -5*v, 2*v = -u*m + 7. Calculate the remainder when 19 is divided by v.
4
Let r(y) = -y**2 - 9*y + 42. Let p = 67 + -77. What is the remainder when 222 is divided by r(p)?
30
Suppose 52 + 23 = -3*s. Let p = 33 + s. What is the remainder when 13 is divided by p?
5
Suppose 10*a - 51*a = -6519. Calculate the remainder when a is divided by 16