9. Calculate the remainder when (312/40 - 0)/((63/70)/9) is divided by w.
37
Let d(x) = -x**3 - 8*x**2 - 3*x - 71. Let c be d(-9). Let v = -22 + c. Let u(s) = -20*s + 1. What is the remainder when u(-2) is divided by v?
11
Suppose -x - 6*l - 13 = -11*l, -l - 7 = -5*x. Calculate the remainder when -2*(103/(-2) - -1) is divided by 21 - ((x - -5) + -3).
16
Calculate the remainder when 3080/21*183/244 is divided by 40 + 0 + -4 + 3.
32
Suppose -6*l - 116 - 58 = -7*l. Calculate the remainder when 37931 is divided by l.
173
Suppose -44*o = -2*o - 15036. Suppose 0 = -o*z + 353*z + 265. What is the remainder when z is divided by 9?
8
Let i be 14/(-21) + 0 + 20/(-6). Let v be (-1)/((i/258)/(2/3)). Let n = -2 + v. What is the remainder when 243 is divided by n?
38
Let i(a) = a**3 + a**2 + a + 3. Suppose 3*z = 2*g + z - 14, 2*z - 6 = -3*g. Let f be i(g). Let s = f - 47. What is the remainder when s is divided by 23?
17
Calculate the remainder when (-35 - -2)/(-1) - 2 is divided by (4 + (-25)/10)*12.
13
Suppose -8*i + 52 = 4. Suppose 3*w - i*w = -177. What is the remainder when w is divided by 13?
7
Let w = 540 - 366. Let x = w + -146. Calculate the remainder when x is divided by 19.
9
Let c(s) = -9*s**2 + 509*s - 1106. Suppose 0 = -y - 3*y + 80. What is the remainder when c(54) is divided by y?
16
Let k(y) = -y**3 - 6*y**2. Let p be k(-6). Let d(j) = -j**3 - 29*j**2 - 251*j - 5303. Calculate the remainder when 80 - 2 - (1 - p) is divided by d(-27).
13
Suppose -20 = 5*s - 10. Let b be -41 + 1/s*8. Let g = -14 - b. Calculate the remainder when 123 is divided by g.
30
Let g(w) = -3*w**3 - 4*w**2 - 33*w - 7. What is the remainder when g(-8) is divided by 110?
107
Let n = 1100 + -655. Suppose 0 = 3*x - n - 185. Suppose -4*o + x = 6*o. What is the remainder when o is divided by 8?
5
Suppose 250 = 2*d - 42. Let l = d + -121. Calculate the remainder when 119 is divided by l.
19
Let j = 82 - 45. Suppose 41 - 16 = 5*b. Calculate the remainder when 149 + -2 + (-5)/b is divided by j.
35
Suppose m - 452 = -3*f, -35*m = -30*m - 10. Calculate the remainder when 2398 is divided by f.
148
Suppose 3*b + 15 = 0, 4*m + 0 = -b + 3. Let k(s) = 8*s**3 + 5*s**2 + 3*s - 10. Calculate the remainder when k(m) is divided by 5.
0
Let d be (8 - 5 - 3)/1. Suppose -4*u = -0*u - 2*r - 298, d = 3*r - 15. Calculate the remainder when 303 is divided by u.
72
Suppose 4*l - 13 = -4*b + 3*l, b = 3*l. Suppose 5*t + 4*x - 54 = b*t, 5*x = 5. Calculate the remainder when (1/3)/((-22)/(-8052)) is divided by t.
22
Suppose 183*d = 2693 + 13022 + 389. Calculate the remainder when d is divided by 49 - 0/(4 + -2).
39
Let t = 71 - 8. What is the remainder when (-2775)/74*(-1 + 51/(-9)) is divided by t?
61
Suppose 667 = 3*i - 2*w, 2*i + 2*w - 178 - 250 = 0. Let o = i + -154. What is the remainder when 191 is divided by o?
61
Suppose 22*i = -1948 + 2278. What is the remainder when 692 is divided by i?
2
Let s(h) = h**3 + 17*h**2 + 35*h + 110. Suppose 2*t - 7*t + 65 = 0. What is the remainder when s(-15) is divided by t?
9
Suppose 5*t = 0, 2*g - 4*t - 240 = 6*g. Calculate the remainder when ((-54)/15)/(2/g) is divided by (-246)/(-9) - 4/(-6).
24
Let a(c) = c**2 - 72*c + 11419. Calculate the remainder when a(0) is divided by 20.
19
Let x(n) = 255*n - 1988. Calculate the remainder when x(9) is divided by 94.
25
Suppose -2*f - 2*g = -6, -2*g - 24 = 2*f - 5*f. Suppose -3*b + 0*b = -f. Calculate the remainder when ((-44)/55)/(292/(-145) + b) is divided by 30.
28
Calculate the remainder when 2437 is divided by (-9 + 4)*(-6 + (-57)/(-15)).
6
Suppose -2*r + 2*o - 8 = 0, 4*r = -0*r + 2*o - 8. Suppose r = -4*j - 2843 + 3027. What is the remainder when 56 is divided by j?
10
Let z = -14841 + 14988. What is the remainder when z is divided by 102?
45
Suppose -3*w + 356 = w. Calculate the remainder when w is divided by 555/(-333)*54/(-5).
17
Let m(t) = -43*t + 2069. What is the remainder when m(47) is divided by (-517)/(-22) + 6/4?
23
Suppose 4*g + 2*w = -0*w, 0 = -2*w - 8. Suppose x + g*q = -x - 394, -x + 4*q = 212. Let v = 363 + x. What is the remainder when v is divided by 41?
40
Let q(j) = -13*j - 25 + 4 + 4 + 5. What is the remainder when q(-2) is divided by 3?
2
Let i(p) = 3*p**2 - 17*p + 5. Let v be -5 + (5 - (-21)/3). What is the remainder when 62 is divided by i(v)?
29
Suppose -4*x - 1 = 15. What is the remainder when 2/x + 77/14 is divided by -2*(2/4 + -2)?
2
Calculate the remainder when ((-20)/56)/((-10)/24)*30352/24 is divided by 479.
126
Let i = 95 + -32. Suppose 24 = -4067*y + 4071*y - 4*d, 0 = 5*y + 5*d - 80. Calculate the remainder when i is divided by y.
8
Let l = 3163 + -2961. Calculate the remainder when l is divided by 27.
13
Let b be 5/(-3) + 3/(-9). Let q(c) = 10851*c - 43367. Calculate the remainder when q(4) is divided by 2/(-4) + (-27)/b.
11
Let p(z) = -z + 1. Let i be p(2). Calculate the remainder when 204 is divided by (i/((-2)/(-1*106)))/(-1).
45
Let p be ((-8)/2)/((-14)/(-49)). Let l = 15 + p. Let y = l + 27. Calculate the remainder when 52 is divided by y.
24
Let r = 3373 - 3354. Let k be -4*((-10)/(-4))/5. Let m = 8 - k. What is the remainder when r is divided by m?
9
Let r(d) be the second derivative of -d**4/12 + d**3/2 + 9*d**2/2 + d - 14. Calculate the remainder when 34 is divided by r(3).
7
Let i = -119 + 157. Suppose -4*z + 194 = -i. What is the remainder when z is divided by 14?
2
Suppose 27*s - 2573 = 558 - 215. Calculate the remainder when s is divided by 53.
2
Suppose -814 = -47*j + 5*j + 1874. What is the remainder when 4862 is divided by j?
62
Suppose -5*f = -3*s - s - 33, -f + 1 = 0. Suppose r - 40 - 15 = 0. What is the remainder when r is divided by (s/(-3))/(5/30)?
13
Let d(f) = f**3 + 16*f**2 + 25*f + 2. Let o be d(-10). What is the remainder when 132220/o - -3*2/16 is divided by 18?
16
Suppose 119 - 191 + 121 = w. Calculate the remainder when 2253 is divided by w.
48
Suppose -5*g + 838 = 163. Suppose 6*y = c + 329, y - 6*c = -5*c + 54. Calculate the remainder when g is divided by y.
25
Let p(d) = d**3 + 6*d**2 + d - 1. Let w be p(-6). Let g(l) = l**3 + 8*l**2 + 8*l + 49. What is the remainder when 77 is divided by g(w)?
35
Let r(o) = 303*o + 3352. What is the remainder when 570 is divided by r(-11)?
0
Let s = 120 - 119. Suppose 4*t = -3 - s, 0 = 3*m - 3*t - 255. Suppose -q + 59 = 13. What is the remainder when m is divided by q?
38
Suppose -28 - 137 = -2*u - j, 0 = 5*u + j - 405. Let s = 84 - u. Calculate the remainder when 22 is divided by s.
2
Suppose 0 = -4*q - q + 190. Let m = 38 - 56. Let t = -5 - m. Calculate the remainder when q is divided by t.
12
Let s = 7 - 3. Let q be (-1)/(-3) - 1038/(-18). What is the remainder when -4 + 5 + q/2 is divided by s?
2
Let o = -5228 + 8248. Calculate the remainder when o is divided by 21.
17
Suppose v + 59 = -4*q, 2*v - 5*v = 5*q + 198. Let y = 32 - v. Calculate the remainder when y is divided by 15.
13
Let h = -2241 + 2820. Calculate the remainder when h is divided by 193.
0
Suppose -2352 = 17659*k - 17675*k. Suppose u + 63 = 4*s, 5*s + 0*u = u + 78. What is the remainder when k is divided by s?
12
Let r = -233 - -197. Let m = -18 - r. Calculate the remainder when 69 is divided by m.
15
Let i be ((12/5)/4)/((-2)/(-40)). Suppose 2*f + 4*r = 326, -3*f + 525 = -i*r + 9*r. What is the remainder when f is divided by 62?
47
Let d(v) be the second derivative of 13*v**3/3 - 12*v**2 + 17*v. What is the remainder when (2/1)/(4/14) is divided by d(1)?
1
Suppose 4*f = -2*v + 128 + 26, 3*v - 216 = -3*f. Calculate the remainder when v is divided by 3 - (0 - -21)/(3/(-2)).
16
Let y = -2773 - -2802. Let k = 59 + -22. Calculate the remainder when k is divided by y.
8
Let y(a) = 37*a - 101. Let s be y(10). Let h = s + -251. What is the remainder when 375 is divided by h?
15
Let i(n) = -3*n**2 + 2*n. Let l be i(1). Calculate the remainder when ((-64)/(-5))/((-16)/120)*l is divided by 36.
24
Let n = 29432 + -29429. Calculate the remainder when (-20)/3*(-6)/4 is divided by n.
1
Calculate the remainder when (7076 - 4) + (-7)/(-7) + -9 is divided by 38.
34
Suppose 4*u + 5*x - 508 = 0, 4*u = 57*x - 58*x + 492. What is the remainder when 155 is divided by u?
33
Suppose 176*y - 353*y - 138480 = -201*y. Calculate the remainder when y is divided by 199.
