ed by 14.
13
Let g = -477 - -431. Let y(i) = -2*i**2 - 96*i + 62. What is the remainder when y(g) is divided by 51?
42
What is the remainder when 73 is divided by (-16 - -14 - -21) + -7?
1
Let k(l) = -l**3 + 29*l**2 - 46*l - 209. Calculate the remainder when 4724 is divided by k(27).
6
Let n(m) = 183 - 14*m - 9*m - 21*m - 6*m + 28*m. What is the remainder when 291 is divided by n(8)?
4
Suppose -478*n = -656*n + 23852. Calculate the remainder when 370 is divided by n.
102
Let z(a) be the first derivative of -a**4/4 + 11*a**3/3 - 3*a**2 - 58. Calculate the remainder when z(9) is divided by 11.
9
Suppose -4 = -a, -3*i - 40*a + 39*a = -394. Suppose 4*k = 5*n - i, -5*n = -73*k + 78*k - 85. Calculate the remainder when 69 is divided by n.
3
Suppose -2*a + 3*b + b = -4, 21 = 3*a - b. Let g(q) = q**2 + 8*q + 9. Let l be g(-6). Let s = 28 - l. What is the remainder when s is divided by a?
7
Let m(v) = 6*v + 15. Let d be m(-2). Suppose -6*r + a = -3*r - 35, 63 = 5*r + d*a. What is the remainder when r is divided by 7?
5
What is the remainder when 891 is divided by 11/((-2145)/(-6690)) + 4/(-13)?
7
Let u = 4453 + -4441. What is the remainder when 159 is divided by u?
3
Let s = -607 + 608. What is the remainder when 151 + ((-35)/5 - s) is divided by 4?
3
Let t = 255 + 1. Calculate the remainder when 243 is divided by (t/(-56))/8 + 179/7.
18
Let d(i) = 54*i**2 + 15*i + 14. What is the remainder when 2008 is divided by d(-1)?
47
Let x = -34 + 82. Suppose 0 = -u - 0*m - m + 4, -u + 4*m + 9 = 0. Calculate the remainder when x is divided by u.
3
Suppose 0 = 10*r - 725 - 645. Calculate the remainder when r is divided by -9*22/(-33) - -17.
22
Suppose 154353*a = 154366*a - 289731. Calculate the remainder when a is divided by 28.
27
Suppose -4*l + g + 615 = 0, l + 5*g - 108 - 51 = 0. Suppose l*v - 153*v - 77 = 0. What is the remainder when v is divided by 29?
19
Let z(k) = -2*k**2 + 7*k + 5. Let s be z(5). Let h = -7 - s. Suppose 2*l = 4*d + 32, 4*l - 10 + 1 = -h*d. Calculate the remainder when 10 is divided by l.
4
What is the remainder when 955 is divided by 146/8*-16*(-24)/96?
6
Let w(l) = l**3 - 4*l**2 - 13*l + 14. Let i be w(6). What is the remainder when 106 is divided by 298/i - (-3)/4?
30
Suppose 5*d = -18 + 158. Let g be 10/4*d/(-35). Let z = g - -43. What is the remainder when 80 is divided by z?
39
Let o(n) = 37*n - 927. Calculate the remainder when 1116 is divided by o(26).
31
Let s = 24528 + -17824. What is the remainder when s is divided by 39?
35
Suppose -2*b + 4*z - 110 = 0, z + 3*z + 232 = -4*b. Let n = b - -104. Suppose -2*d + p = -34 - n, p - 5 = 0. What is the remainder when d is divided by 11?
10
Let w(x) = -3*x**2 - 3*x + 109. Let h(i) = 2*i**2 + 2*i - 54. Let n(v) = 5*h(v) + 3*w(v). Calculate the remainder when n(0) is divided by (34/(-4))/(1/(-2)).
6
Let t(g) = g**3 - 2*g**2 - 3*g + 7. Let u be t(4). Let h = -3 + u. Suppose 0 = 7*z + 3 - h. What is the remainder when 3 is divided by z?
0
Suppose 19*j - 164*j + 19430 = 0. Calculate the remainder when j is divided by 46.
42
Let a(g) be the second derivative of g**3/3 - 53*g**2/2 + 228*g. Calculate the remainder when 103 is divided by a(44).
33
Suppose -o + 5*o - 739 = -l, 3*l + 4*o = 2225. Suppose 31 + l = 6*g. What is the remainder when g is divided by 45?
39
Suppose 2*v = 7*v - 260. Let r = 122 + -116. Calculate the remainder when v is divided by r.
4
Let k(z) = 10*z + 74. Let v be k(-9). What is the remainder when 40 is divided by ((-28)/v)/(2/16)?
12
Let h(x) = 3*x**3 + 25*x**2 - 366*x - 31. Calculate the remainder when h(9) is divided by 267.
86
Suppose -2*n - 101 + 35 = 0. Let d = n - -36. Calculate the remainder when 37 is divided by 2/d - 62/(-6).
4
Suppose -r + 4*u - 3 = 0, 4*u + 7 = -5*r - 8. Let t = 23 + -10. What is the remainder when t is divided by (-6 + -3 + r)/(9/(-6))?
5
Let o(r) = 1750*r - 1028. Calculate the remainder when o(2) is divided by 131.
114
Let z(n) = n**3 + 86*n**2 + 3*n + 271. Let q = 855 + -481. Calculate the remainder when q is divided by z(-86).
10
Suppose -2*u = 2*y + 209 + 159, 0 = -u + 5. Let z = y + 216. What is the remainder when (-4)/(-10)*(125 + 0) is divided by z?
23
Let k(y) = -4*y**2 + 23*y - 141. Let j(u) = u**2 + u + 1. Let x(q) = -3*j(q) - k(q). What is the remainder when 138 is divided by x(7)?
3
Suppose -5*h + 320 = 5*u, 0 = -3*h + 8*u - 7*u + 200. Suppose 4*k - 2*i - 148 = 0, 5*i = -4*k + h + 54. Calculate the remainder when k is divided by 23.
12
Let v(b) = -5*b - 37. Calculate the remainder when 478 is divided by v(-10).
10
Let s(u) = u**3 + 110*u**2 + 999*u - 72. What is the remainder when 295 is divided by s(-100)?
15
Suppose -3*k = 2*c - 3245, 593*k - c - 3233 = 590*k. What is the remainder when k is divided by 135?
134
Let s(f) = -f**3 + 5 + f**2 - 38*f - 31*f + 72*f. Let l be s(3). Let j(t) = -10*t + 8. Calculate the remainder when 237 is divided by j(l).
45
Let o = -4018 - -4051. What is the remainder when 124 is divided by o?
25
Let a be (-524)/(-10) - 30/75. Let b = -41 + 7. Let l = a + b. Calculate the remainder when l is divided by 7.
4
Let v = -706 - -668. Let k = v - -175. What is the remainder when k is divided by 61?
15
Let s = -18255 - -19889. What is the remainder when s is divided by 539?
17
Let t = -14 + 9. Calculate the remainder when t*(-1990)/175 + 2/14 is divided by 18.
3
Suppose 99*q - 9916 = 25*q. Calculate the remainder when q is divided by 35.
29
Let m(o) = 3*o**2 + 11*o + 11. Let z be m(-1). Suppose -z*b = -4*h + 8*h - 165, 245 = 4*b - 3*h. What is the remainder when b is divided by 14?
3
Suppose 0 = -51*z - 40 + 2131. What is the remainder when 732 is divided by z?
35
Let v = 303 + -657. Calculate the remainder when 4/((-16)/55)*-4 is divided by (-3)/(-9) + v/(-18).
15
Let k be (-2349)/(-18) - (-2)/(-4). Let f be 15/(k/(-45) - -3). Let g = -93 + f. What is the remainder when g is divided by 23?
19
Suppose p - 259 = o - 2*o, -3*p + 771 = -3*o. Calculate the remainder when p is divided by 226.
32
Let s(v) = -6*v**2 - 46*v - 14. Let l be s(-6). Suppose 202 - l = 3*y. Calculate the remainder when 311 is divided by y.
51
Let x be -5 + 24 - 4/2. Let w = x - -31. Let b = 70 - w. What is the remainder when b is divided by 6?
4
Suppose 224 = -23*b + 62*b - 1687. Calculate the remainder when 145 is divided by b.
47
Suppose 12*f - 138 = -78. What is the remainder when 279 is divided by -14*f/15*-3?
13
Suppose -4*i - 63 = -n, -317*n - i + 399 = -312*n. What is the remainder when 33177 is divided by n?
76
Let x(z) = z**3 + 16*z**2 + 43*z + 20. Calculate the remainder when 392 is divided by x(-12).
72
Let k = 85 + -89. Let o be k/((-24)/(-10))*-3. Suppose -4*x + 405 = x + 2*t, -357 = -4*x + o*t. What is the remainder when x is divided by 14?
13
Suppose -4*h = 2*m - 28, 0 = h - 149*m + 150*m - 9. Suppose -4*q - 4*b = -80, -29 = -4*q + h*b + 51. Calculate the remainder when 35 is divided by q.
15
Let a = 184899 + -184779. Let t be 2/(-3) + (-634)/(-6). Suppose 0 = -4*q - 5*c + t, 5*q - c - 3*c = 121. Calculate the remainder when a is divided by q.
20
Calculate the remainder when -4 + (-3213)/(-6) + 5/(-2) is divided by 264.
1
Suppose 0 = 54*g - 1773 - 16749. What is the remainder when g is divided by 180?
163
Let d = 1706 + -1615. Let m(y) = y**2 - 3*y + 9. What is the remainder when d is divided by m(5)?
15
Suppose -2*a = -5*a - 4*l - 249, -410 = 5*a + 5*l. Let f = -64 - a. Let g = 23 - f. Calculate the remainder when 23 is divided by g.
7
Suppose -55233 = -281*h + 110*h. What is the remainder when 335 is divided by h?
12
Let n be ((-90)/6)/(1/(-1)). Let m = -15 - n. Let p = -23 - m. Calculate the remainder when 19 is divided by p.
5
Suppose -23*p + 24*p + 140 = 4*o, 3*o - 2*p = 100. Calculate the remainder when 739 is divided by o.
19
Suppose 3*x + 2 = r + 3, -x - 21 = -3*r. Suppose 0 = -r*y + 3*y + 20. Calculate the remainder when 20/y + -3 - -11 is divided by 9.
4
Let w = -12 - -36. What is the remainder when (-40)/(-16) - 266/(-4) is divided by w?
21
Suppose 3*b + 63 = 12*b. Suppose -b*w = -138 - 107. Suppose -v + 3 + 6 = 0. What is the remainder when w is divided by v?
8
Let p = -13 + 49. Suppose y - 48 = p. Suppose s + 5*s = y. Calculate the remainder when 53 is divided by s.
11
Let b = 167 - 32. Suppose 2*l + 2*l + 8