w = s - 88, s = -s - w + 154. What is the remainder when s is divided by j?
14
Suppose -3*k - 2947*l + 2942*l + 551 = 0, -4*l - 724 = -4*k. What is the remainder when k is divided by 20?
2
Suppose 5*f - 684 = 1931. Calculate the remainder when f is divided by 147.
82
Suppose 5*q = -f + 14598, -27*q = -29*q + f + 5849. Calculate the remainder when q is divided by 15.
11
Suppose -60*m = -15*m - 873 + 153. What is the remainder when 222 is divided by m?
14
Suppose 0 = -5*b - 5, 0*b - 276 = -5*g + b. Suppose 5 = n - i - 10, 4*n = -i + g. Calculate the remainder when (-1 + -94)*6/(-15) is divided by n.
10
Suppose 44*g - 3113 = -121. Calculate the remainder when 70 is divided by g.
2
Let b(h) = 2*h**3 + 156*h**2 - 4*h - 231. Calculate the remainder when 361 is divided by b(-78).
37
Let z = 1464 + -1092. Calculate the remainder when 907 is divided by z.
163
Let c(q) = q**2 - 6*q - 3. Let o be c(-7). Let p = o - 67. Calculate the remainder when (2/4)/((-4)/(-664)*1) is divided by p.
20
Let o(y) = 2*y**2 - 34*y + 125. What is the remainder when 486 is divided by o(12)?
1
Let v(z) = 3*z + 116. Let l(h) = 3*h + 173. Let n(g) = 5*l(g) - 7*v(g). Calculate the remainder when n(-4) is divided by 9.
5
Let p be 0/((-5)/1 - -10 - 4). Suppose -h = 2*v - 30, p = h - 0 + 2. What is the remainder when 73 is divided by v?
9
Let h(z) = -38*z - 55. Let q(r) = -3*r + 105. Let c be q(36). Calculate the remainder when 169 is divided by h(c).
51
Let t(g) = -30*g**2 + 364*g + 21. What is the remainder when t(11) is divided by 152?
91
Let y(t) = -t**3 + 7*t**2 + 3*t + 16. Suppose -42*g + 5*g = -20646. Calculate the remainder when g is divided by y(6).
68
Let v = 185 - 174. What is the remainder when 321 is divided by ((-198)/(-12))/v + 477/6?
78
Suppose -5*x + p + 3 = -17, 3*p = -2*x + 25. Suppose 311 = x*l - 229. Let y = l - 82. What is the remainder when y is divided by 5?
1
Let f(p) = p - 7. Suppose 0 = 6*o - 7*o + 13. Let w be f(o). Suppose 22 = -w*a + 100. What is the remainder when 23 is divided by a?
10
Let w = -4 - -8. Suppose w*c = 3*q - 4, 0 = -5*c - 0*q + q - 5. What is the remainder when (4/7)/(c/(-7)) + 11 is divided by 6?
3
Suppose -4*c = -q - q - 128, -2*q = 0. Suppose -4*z - 138 + 738 = 0. Let w = z + -139. Calculate the remainder when c is divided by w.
10
Suppose -21*d - 33*d = 60*d - 89946. What is the remainder when d is divided by 218?
135
Let k = -426 + 466. What is the remainder when (13 - 1)*3/2 is divided by 6/(1 + 2) - (-48 + k)?
8
Suppose -l + 11*y + 307 = 10*y, -4*y = -9*l + 2763. Calculate the remainder when l is divided by 10.
7
Suppose 3*i - 120 - 100 - 131 = 0. Calculate the remainder when 1403 is divided by i.
116
Suppose -48*c + 69*c + 153*c - 29754 = 0. Calculate the remainder when c is divided by 46.
33
Let s(n) = 605*n + 1243. Calculate the remainder when 1574 is divided by s(-2).
23
Let i(h) = -2*h**2 - 10*h + 40. Let l(q) = -q**2 - 5*q + 21. Let b(f) = 4*i(f) - 9*l(f). Calculate the remainder when 79 is divided by b(5).
16
Calculate the remainder when (-1275)/(1 + -4) + (-561)/51 is divided by 110.
84
Let y be 103/(-1 + (0 - -2)). Let n be -77 - (-1 - -10 - 5). Let f = y + n. What is the remainder when 85 is divided by f?
19
Suppose 2*u + 0*u = -o + 3099, 0 = -u - o + 1552. Calculate the remainder when u is divided by 3.
2
Let b(k) = -k**3 + 8*k**2 + 11*k - 71. What is the remainder when 3017 is divided by b(8)?
8
Let k = 1952 + -385. Suppose 2*d + s = k, -5*s + 1356 + 223 = 2*d. What is the remainder when d is divided by 7?
5
Let v = -31436 - -31719. Calculate the remainder when v is divided by 165.
118
Let f(l) be the first derivative of l**4/4 - 2*l**3 - 21*l**2/2 - 10*l - 70. Calculate the remainder when f(9) is divided by 8.
4
What is the remainder when 1479 is divided by (5 - 2)*(-3 + 522/54)?
19
Suppose -477*w + 475*w = c - 133, 4*w + 3*c = 265. Calculate the remainder when 865 is divided by w.
61
Suppose m + 6*m + 56 = 0. Calculate the remainder when 17 + (-7)/(28/m) is divided by 10.
9
Suppose m + 4*a + 52 = 837, -2*m = 2*a - 1600. Let v = 822 - m. What is the remainder when 67 is divided by v?
16
Let n(q) be the first derivative of -q**4/4 + 3*q**3 + 13*q**2/2 - 46*q - 7. Calculate the remainder when n(8) is divided by 3.
2
Suppose 9954 - 1803 = 19*g. Calculate the remainder when g is divided by 70.
9
What is the remainder when (10/(-4))/(58/((-93728)/20)) is divided by (-1)/(((-2)/(-51))/(-2))?
49
Suppose 75*g - 376 = 28*g. Calculate the remainder when 437 is divided by g.
5
What is the remainder when 1111 is divided by -555*(-9 + 8)*3/15?
1
Calculate the remainder when 2049 is divided by ((-47 - 1) + 7)/(5 + -6).
40
Let y = 207 + -178. Let s(a) = -49*a - 42. What is the remainder when y is divided by s(-1)?
1
Suppose -152 = -2*n + 4*z, -5*n + z = -592 + 185. Let k be 1/(2/(-34))*-5. Let p = k - n. What is the remainder when 3 is divided by p?
0
Let y(k) = 3*k + 7. Let a be y(3). Suppose -393 = -a*x + 423. Calculate the remainder when 458 is divided by x.
50
Suppose 130*p = -105*p + 60395. Calculate the remainder when 1791 is divided by p.
249
Let n(d) = -4*d**2 + 68*d + 12. Let q be n(14). Suppose 0 = 40*v - 43*v + q. What is the remainder when v is divided by 26?
8
Calculate the remainder when ((-17)/(170/(-830)))/(1/5) is divided by 6.
1
Let a = 16725 - 16663. Calculate the remainder when 2660 is divided by a.
56
Let g(v) be the first derivative of 6*v**2 + 2*v - 6. What is the remainder when (30/80)/((-7)/(-728)) is divided by g(1)?
11
Let n = 18120 - 17827. What is the remainder when 1186 is divided by n?
14
Let x(s) = 35*s**2 - 3*s + 12. Let v be x(7). Let f = -187 + v. Suppose -f = -8*n + n. What is the remainder when n is divided by 55?
52
What is the remainder when 1703 is divided by (-1)/((-6)/(7 - 13))*-11?
9
Suppose -12*z = -960 + 24. Calculate the remainder when 537 is divided by 434/8 + z/(-312).
51
Let i = 199 + -149. Let r(b) be the second derivative of b**4/12 - 8*b**3/3 + 9*b**2/2 - 19*b. What is the remainder when i is divided by r(16)?
5
Let u be 2 - (-18)/(-7) - 25/(-7). Suppose d = 2*x - 78, -x = -u*d + 6*d - 32. What is the remainder when 112 is divided by x?
36
Suppose -505 = -12*n + 324 + 215. What is the remainder when 4084 is divided by n?
82
What is the remainder when 525 is divided by (-220)/(-6820) + 369/93?
1
Let b(n) = n**3 + n**2 - 3*n - 5. Let g be b(-5). Let k be (-33)/(-1)*84/(-28). Let i = g - k. What is the remainder when i is divided by 4?
1
Suppose 141751 = -322*j + 1035488 + 20421. Calculate the remainder when j is divided by 25.
14
Suppose 8*y - 3*y - 10 = -5*q, -4 = 2*q + 4*y. Let o(t) = 1. Let r(k) = 2*k - 8. Let g(c) = 6*o(c) + 3*r(c). Calculate the remainder when q is divided by g(4).
0
Suppose -174 = -2*y - y. Let p be 18/(-60) - 5676/(-120). Let t = y - p. What is the remainder when 20 is divided by t?
9
Let s(g) = -g**2 - 23*g - 69. Calculate the remainder when 3062 is divided by s(-5).
17
Let t(l) = -3*l - 72. Let i be t(-6). Let b = i + 79. Calculate the remainder when 47 is divided by b.
22
Suppose 3*t = -j + 20, -2*t + 3 = j - 12. Suppose -3*i = j*u - 61, 5*i + 0*u = 5*u + 115. What is the remainder when (-2)/11 + (-464)/(-11) is divided by i?
20
Suppose 13*b + 36 = 2649. Calculate the remainder when b is divided by 41.
37
Let y = 175 + -172. Suppose -2*q + 22 = -q - 4*n, y*q - 121 = n. What is the remainder when 123 is divided by q?
39
Let d = 52 - 33. What is the remainder when (-10 - -2) + -1 - 2665/455*-14 is divided by d?
16
Suppose -2*a + 152 = -8. Suppose -a = -3*z + n - 2*n, -5*z = -n - 120. Suppose 6*f - 1116 = -78. What is the remainder when f is divided by z?
23
Let a(u) = -u**3 + 18*u**2 - 29*u - 2. What is the remainder when a(13) is divided by 120?
106
Suppose 1084*d + 88 = 1092*d. Calculate the remainder when 100 is divided by d.
1
Suppose -20*i + 8*i = 24. Let z(s) = -9*s**3 + s - 3. What is the remainder when z(i) is divided by 17?
16
Suppose 91*a - 92*a = -2*y + 246, 0 = 4*y - a - 498. Suppose j + 10 = -3*b, b + 4*b + 26 = -3*j. Let s = y + j. What is the remainder when s is divided by 30?
29
Let y = 7275 - 7208. What is the remainder when y is divided by 27?
13
Suppose -74 = -176*i + 172*i - 5*j, -2*i + 4*j = -24. Calculate the remainder when 164 is