remainder when 9/12 + (-763914)/(-456) is divided by 34.
10
Suppose 26*w - 25*w + 5*g = 270, 3*g = 9. Calculate the remainder when w is divided by 68.
51
Suppose -23 = -q - g + 18, 124 = 4*q - 4*g. Suppose 4*c = 52 + q. What is the remainder when (244/8)/(104/16 - 7)*-1 is divided by c?
17
Suppose -34 = 2*w + 8*a - 5*a, 0 = -2*w + a - 50. Calculate the remainder when (w + 15)/(2/(-48)) is divided by 92.
8
Let z(f) = f**3 - 6*f**2 - 12*f - 246. What is the remainder when 2373 is divided by z(13)?
30
Let w(v) = 3*v - 92. Let k(x) = x - 47. Let n(g) = -5*k(g) + 2*w(g). What is the remainder when 251 is divided by n(-23)?
27
Let c(b) = 413*b**2 + 5. Suppose -492 - 38 = -5*z. Calculate the remainder when c(1) is divided by z.
100
Let y = -2306 - -2316. What is the remainder when ((-6)/(-4))/((-3)/(-52)) is divided by y?
6
Let f(t) = -9*t**3 - 2*t**2 - 8*t - 6. Let p be f(-3). Let n = -219 + p. What is the remainder when 261 is divided by n?
21
Let z = -4722 - -4759. Suppose 4*b = -4 + 244. Calculate the remainder when b is divided by z.
23
What is the remainder when 322 is divided by 18/(-15)*(-3)/((-18)/(-460))?
46
Let x = -5 - -5. Suppose -o = 2*j - 102, x = -5*j + 2*o - o + 269. Let h(r) = -142*r + 2157. What is the remainder when j is divided by h(15)?
26
Let m(v) be the second derivative of -v**5/20 - 13*v**4/6 + v**3/6 + 77*v**2/2 - 17*v - 7. What is the remainder when 402 is divided by m(-26)?
45
Let h be ((-2)/4)/(4/144). Let v = -14 - h. What is the remainder when 200/15 + 4/6 is divided by v?
2
Suppose 5*l = 4*t + 192, 0 = 2*l - 3*l + 5*t + 51. Let m(u) = -u + 126. What is the remainder when m(38) is divided by l?
16
Suppose 3*l - 3 = -4*z, 0 = 137*l - 136*l + 7*z + 50. Suppose -663 - 109 = -4*t. What is the remainder when t is divided by l?
11
Suppose -5*d = -20 - 25. Let c(a) = a**3 - 5*a**2 - 54*a + 177. Calculate the remainder when c(9) is divided by d.
6
Let w(m) = 0 + 143*m + 1910*m**2 - 3 + 11 - 1894*m**2. Calculate the remainder when 67 is divided by w(-9).
16
Let z(l) = -8*l**2 + l**3 + 24*l**2 - 4*l - 8*l**2 - 4*l**2 - 6. Calculate the remainder when 16 is divided by z(-4).
6
Let v = -498 - -533. Suppose -v = -5*z - 5. Suppose 4*r + 0 = 56. What is the remainder when r is divided by z?
2
Let c be -2*3/9*-3. Suppose 6*i = -c - 4. Calculate the remainder when 109 is divided by (8 + i)*(-2 - -6)/1.
25
Suppose 2*p - 3*p + 11 = 0. Let s(i) = i**3 + 20*i**2 + 18*i + 23. Let f be s(-19). Suppose -13*z = z - f. Calculate the remainder when p is divided by z.
2
Let k(x) = -4*x - 89. Let n be k(-26). Suppose t + n = 5*l + 93, -2*t + 191 = -3*l. Calculate the remainder when t is divided by 12.
7
Suppose 4*r + 1151 = -4*c + 239, -r = 0. Calculate the remainder when 149 is divided by (-3)/(1158/c + 5).
35
Let y(p) = -p**3 - 14*p**2 + p + 209. Calculate the remainder when 296 is divided by y(-13).
26
Suppose a - 2*q + 3*q - 1 = 0, 3*a - 6 = -2*q. Suppose -3*g + 30 = -a*x, 4*x - 11 - 1 = 0. Calculate the remainder when 23 is divided by g.
9
Let y(i) be the second derivative of i**4/3 - 3*i**3/2 - 9*i**2/2 + 17*i. Let g be y(7). Let j = g - 80. Calculate the remainder when j is divided by 23.
21
Suppose -17*d + 142 = 23. Let l be 1 + (-5)/(15/(-12)). Suppose 0 = l*k - 20 - 15. What is the remainder when d is divided by k?
0
Let w = -1418 - -1426. Calculate the remainder when 40 is divided by w.
0
Let q(p) = 20*p**2 - 404*p - 201. What is the remainder when q(27) is divided by 23?
21
What is the remainder when 142 is divided by (-10)/3*(-4032)/320?
16
Suppose 0 = 3*w - 10 - 2. Suppose 0 = -i + 3*x - 2 - 10, w*x = -3*i + 29. Suppose i*y = -y + 16, -u + y = -1. Calculate the remainder when 26 is divided by u.
1
Let i = 30616 + -30578. Calculate the remainder when 3175 is divided by i.
21
Let l = 91 - -67. Let o(d) = -d**3 - 21*d**2 - 75*d - 78. Calculate the remainder when l is divided by o(-17).
35
Suppose i + i - 518 = 0. Suppose -8*u + 787 - i = 0. Suppose 2*x - u = 28. Calculate the remainder when x is divided by 12.
11
Suppose 2*w = -3*p + 57 - 381, 2*p = -4*w - 632. Let a = w + 231. What is the remainder when a is divided by 38?
37
Let o = -205404 - -205424. Suppose -4*f + 21 = -f. What is the remainder when o is divided by f?
6
Suppose x + 17*x + 36 = 0. Let u(k) = -10*k**3 + 7*k**2 + 4*k - 1. Calculate the remainder when u(x) is divided by 29.
12
Let t be 13/((-208)/(-60)) - (-1)/4. Suppose -5*g - 4*f + 194 = 42, -115 = -t*g - f. What is the remainder when g is divided by 21?
7
Let l(k) = 2*k**3 - 10*k**2 + 48*k + 6. What is the remainder when l(4) is divided by 10?
6
Let m = 20 - 17. Suppose -28*q + m = -29*q. Calculate the remainder when 44 is divided by q/(-6)*100/5 + 2.
8
Suppose 5741*d - 1188 = 5642*d. Suppose 0 = -3*b - 80 + 29. Let t = b + 39. Calculate the remainder when t is divided by d.
10
What is the remainder when (-60)/18*(-49)/(-14)*144/(-10) is divided by 36?
24
Suppose 2*s + 0*s = -236. Let n = 134 + s. Suppose -542 = -5*d - 77. Calculate the remainder when d is divided by n.
13
Suppose 4*i = 8, 3*w + 5*i = 190 + 39. Suppose -2*l - 2*g + 178 = 0, l - 8*g = -13*g + w. What is the remainder when l is divided by 12?
9
Suppose 50800 - 17014 = 19*z - 21333. Calculate the remainder when z is divided by 121.
118
Suppose 27*o = 22*o + 55. Let x(s) = -2*s**3 - 12*s**2 - 8*s + 13. Let d be x(-5). Calculate the remainder when (o - -49)*d/2 is divided by 31.
28
Suppose 0 = 3*t + 2*t - 2*t. Calculate the remainder when 21 is divided by 10 - (0 + 2) - (t - 2).
1
Let r(k) = 8*k + 69. Let z be r(-8). Suppose -z*y - 21 = -u, 4*u - 2*y + 6*y = 108. Calculate the remainder when 97 is divided by u.
19
Suppose -4*w + 5*i + 226 = 3*i, 0 = -3*w + i + 171. Let u = -166 + 169. Let t(x) = -x**3 + 5*x**2 - 3*x + 3. Calculate the remainder when w is divided by t(u).
10
Let b = -940 + 974. Calculate the remainder when 542 is divided by b.
32
Let h = 7210 - 7205. Calculate the remainder when 9442 is divided by h.
2
Suppose 34 = 5*k + 3*h - 13, 5*k - 15 = 5*h. Let l(n) = 45*n - 263. Calculate the remainder when l(k) is divided by 13.
0
Suppose 5*v - 750 = -5*b, 4*v - 555 = 3*b + 59. What is the remainder when 252 is divided by v?
100
Let x be (6*(-2)/(-18))/(4/42). Suppose x*o - 7 = 14. Suppose -5*p + 2*i = -104, -3*p + 0*i = -o*i - 66. What is the remainder when 57 is divided by p?
17
Let c(u) = u**3 - 19*u**2 + 12*u - 77. Let d be c(8). Let i = -620 - d. Calculate the remainder when i is divided by 23.
19
Let o be -87*12/(-54) - 12/9. What is the remainder when 161 is divided by ((-11)/(-2))/(3/o)?
29
Suppose -j + 2*n = 93, -2*j + 11*n - 8*n = 182. Let g be -2 + j - (4 + -1). Let m = 102 + g. What is the remainder when m is divided by 7?
5
What is the remainder when (-74)/(-2) + -21*(-12)/36 is divided by 1?
0
Let x(k) = -75*k - 1721. Let v(r) = -r**2 + 6*r + 6. Let g be v(9). Let i = 36 + g. Calculate the remainder when i is divided by x(-23).
3
Let g = 520 + -228. Let n = -243 + g. Calculate the remainder when 390 is divided by n.
47
Suppose -1040 = -5*v - 5*x, -3*v - 216 = -2*x - 855. Calculate the remainder when v is divided by 25.
11
Suppose -4*j = -5*k + 85 + 1962, 0 = -3*k - j + 1218. Let w = k - 278. What is the remainder when w is divided by 22?
19
Let p = 6 - 6. Suppose p*c = 5*c - 40. Calculate the remainder when 9 is divided by ((-9)/36)/((-2)/c).
0
Suppose -146 - 82 = -4*n. Let d = -162 - -167. Suppose 0 = -4*w + d*w - 15. What is the remainder when n is divided by w?
12
Calculate the remainder when 1695/7 + 172/(-1204) is divided by 72.
26
Suppose 5*o = -70 + 100. What is the remainder when 44 is divided by 3 + -8 + o - -4?
4
Let s(n) = 4*n**2 + 49*n - 440. What is the remainder when 366 is divided by s(7)?
69
Suppose -5*h - 4*s = 122, s - 6 = -9. Calculate the remainder when 207 is divided by 18/(-99) - 664/h.
27
Suppose -4*l + g = -43, 4*g + 0 - 20 = 0. What is the remainder when l + -13 + (-2 + 62 - 0) is divided by 30?
29
What is the remainder when 6322 is divided by (1 - -19) + -1 + -1 + (-7 - 0)?
8
Suppose -3*k + 106 = -1532. Suppose 2*a = -k + 710. Calculate the remainder when 161 is divided by a.
79
Calculate the remainder when (160/(-56))/5 - (-30454)/7 is divided by 136.
134
Let a = 135 - 133. Suppose v = -u - 2*u - 6, 3*v