at is the remainder when 1/6 - (-394)/12 is divided by ((-2)/5)/((-44)/110) + f?
15
Suppose 0 = -317*r + 272*r + 27090. Calculate the remainder when r is divided by 48.
26
Let g = -323 - -325. Calculate the remainder when (105/(-25) + 5)*335/g is divided by 27.
26
Suppose m = 6*m - 5*b - 40, 0 = m - 2*b - 12. Suppose 0 = m*s + l + 488, -2*l + 0*l = 0. Let w = -40 - s. What is the remainder when w is divided by 28?
26
Let v = -2078 - -3634. Let y be (20/(-6))/((-5)/345). Suppose -y + v = 13*o. Calculate the remainder when o is divided by 15.
12
Suppose 0 = -11*i + 97*i + 156727 - 829419. What is the remainder when i is divided by 24?
22
Let p = 144 - 46. Calculate the remainder when 192 is divided by (p/(-4))/((-3)/6).
45
Suppose 81 = 5*s - a, 0*s = 4*s - a - 65. Suppose -1 + 19 = -2*n. Let j = n + s. What is the remainder when 25 is divided by j?
4
Let x = -12479 - -12522. What is the remainder when x is divided by 24?
19
Suppose 2*c = 4*h + 6*c - 12, 4*c - 4 = 0. Suppose 5*v - 2*i = 148, -v = -h*v + 2*i + 36. What is the remainder when 72 is divided by v/42*(-57)/(-2)?
15
Let h(o) = 15*o - 97. Let v be h(7). Let z(c) = -c**3 + 7*c**2 + 14*c + 9. Calculate the remainder when z(v) is divided by 2/(-1)*(-16 - -10).
9
Suppose 337 + 1049 = 21*d. What is the remainder when d is divided by 33/2*2 - -1?
32
Let t(w) = 2*w**3 - 16*w**2 + w - 5. Let o be t(8). Let g(y) = 3*y**2 + 9*y - 40. Calculate the remainder when 333 is divided by g(o).
11
Let w = -15930 - -15989. What is the remainder when 262 is divided by w?
26
Suppose -174 = -5*k + 101. Calculate the remainder when 148 is divided by k.
38
Suppose -q = -4*c + 8, 14 = 4*c - 2. Suppose 0 = 11*h - q*h + 480. What is the remainder when (2 + 2)/((-4)/h*5) is divided by 17?
15
Suppose 4*t = 2*c - 5*c - 32, 2*t = 5*c - 16. Let o = t - -15. Let y(v) = -21*v**2 + 404*v - 70. What is the remainder when y(19) is divided by o?
4
Suppose -2*s - x + 12 = -31, 0 = -x + 1. Suppose -c - 7 = -0. What is the remainder when s is divided by 12/(-9)*(c + -2)/3?
1
Calculate the remainder when 27606/4*(-1 - -1*25/15) is divided by 24.
17
Suppose 5*l - 110 = -0*l. Let x = -313 - -315. Suppose g + 2*d - 48 = -0*d, 2*g + x*d - 90 = 0. What is the remainder when g is divided by l?
20
Let d = 16237 + -16017. What is the remainder when d is divided by 58?
46
Let h = 142 - 164. Let f = h - -30. What is the remainder when 13 is divided by f?
5
Let s be (-4)/10 + (-1464)/(-10). Suppose u + u = s. Calculate the remainder when u is divided by ((-41940)/5126)/((-6)/22) + (0 - -1).
11
Suppose 4*z - 4*a - 137 = z, 20 = -4*a. Let i(k) = -2*k + 23. Suppose 10 = 15*d - 80. What is the remainder when z is divided by i(d)?
6
Let t = -6 - -13. Let s(o) be the first derivative of -o**2 - 3*o + 4. What is the remainder when s(-7) is divided by t?
4
Let u(n) = -17*n - 89. Let b(m) = -26*m - 134. Let y(q) = 5*b(q) - 8*u(q). Let v be y(-19). Let o = 112 + v. Calculate the remainder when 116 is divided by o.
36
Let g(z) = -z**3 + 4*z**2 + 13*z - 3. Let w be g(6). Let k be (2 - 0)/(w - 75/24). Let y = 13 - k. What is the remainder when 54 is divided by y?
25
Let u(a) = -a**2 + 32*a - 232. Calculate the remainder when 642 is divided by u(19).
12
Let a(t) = 186*t - 15. Let f be a(10). Suppose 10*z = z - f. What is the remainder when -3 - -1 - -4*z/(-10) is divided by 28?
24
Let b = -119 + 209. Let v = -296159 - -296191. Calculate the remainder when b is divided by v.
26
Let m = 270 - 244. Suppose -5*a + 83 = 4*p, -6*p = -2*a - 4*p + m. What is the remainder when a is divided by 9?
6
Let b = 2173 - 1514. Suppose 4*u - 3*y = b, 5*u + 5*y - 683 = u. What is the remainder when u is divided by 24?
23
Suppose -5*k = -62 + 317. Let x = -43 - k. What is the remainder when 30 is divided by x?
6
Suppose -2*z - 5*i + 36 = 0, 707*z - 195 = 702*z + 5*i. Calculate the remainder when 470 is divided by z.
8
Let k(p) = p**2 + 11*p + 16. Let c(i) = -i**2 - 5*i - 7. Let m(n) = -5*c(n) - 3*k(n). What is the remainder when m(-4) is divided by 16?
3
Let x(v) = 30*v - 28. Let a be x(-14). Let p = 473 + a. Suppose 3*w - 4*k = 51, 4*w + 0*k - 5*k - 67 = 0. What is the remainder when p is divided by w?
12
Suppose -89*m - 35 = -96*m. Let d be ((5 - -4) + -3)*10. Calculate the remainder when (-1 + 3)/(m - 292/d) is divided by 7.
1
Let m(x) = -54*x**2 - 2*x - 16. Let b(z) = -4*z**2 - 1. Let q(i) = -28*b(i) + 2*m(i). Suppose -5 = -5*s - 20. What is the remainder when q(s) is divided by 12?
8
Calculate the remainder when 5/(-20)*-16*446 is divided by 47.
45
Calculate the remainder when 243/(12/4) - 4 is divided by 44.
33
Suppose 0 = -0*t + 3*t + 15, 4*t - 76 = 4*n. Let a = n + 26. Suppose 0 = -a*q - 4*p - 2, 0*q - 6 = -3*q - 3*p. Calculate the remainder when 11 is divided by q.
1
Let d(f) = f**3 - 11*f**2 + 12*f + 9. Let g be d(9). Let s be g/(-6) + 9/(-6). Suppose 4*r - 122 - s = 0. What is the remainder when r is divided by 11?
10
Suppose 0 = 10*j + 1841 - 191. Let l = j - -196. What is the remainder when l is divided by 16?
15
Let l be -7 - -4 - 2/((-4)/(-6)). What is the remainder when 126/5*(-45)/l is divided by 16?
13
Let d = 2 - -1. Let m(t) = 7 + 102*t**2 + 93*t**2 - 192*t**2. What is the remainder when m(d) is divided by 18?
16
Suppose -17*w + 52 = -33. Suppose -5*u + 9 = 2*k - w, 4 = 2*k. Suppose -5*y + i + 93 = 0, -3 = 3*i - 2*i. Calculate the remainder when y is divided by u.
0
Let u = -368 - -178. Let k = 192 + u. Calculate the remainder when 21 is divided by k.
1
Let s(l) = 6*l**3 - 4*l**2 + 21*l - 79. Calculate the remainder when s(5) is divided by 109.
22
Suppose -2*o = -7*o - 3*d + 1123, 3*o + d - 677 = 0. Let v = 280 - o. What is the remainder when v is divided by 26?
1
Suppose 0 = 3*i - 4*k - 779, -k + 1804 - 475 = 5*i. Suppose 36*j - 1418 + 202 = -28*j. Calculate the remainder when i is divided by j.
18
Let v = 8164 - 6763. What is the remainder when v is divided by 174?
9
Let n = 670 - -1350. What is the remainder when n is divided by 22?
18
Let k be 63/(-105) - (-26296)/10. Suppose 1046 + k = 5*r. Calculate the remainder when r is divided by 16.
15
Suppose 5*l - 24 = 3*q, -5*q - 6 = 2*l - q. Suppose l*y - 2*c - 202 = 0, -5*y = c + c - 310. Calculate the remainder when y is divided by 13.
12
What is the remainder when 78 is divided by 825/39 + ((-42)/91)/3?
15
Suppose 114192 = -161*w + 161674 + 211728. What is the remainder when w is divided by 45?
35
Suppose 0 = 9*n - 2714 - 202. Calculate the remainder when 325 is divided by n.
1
Let o be ((-18)/(-15)*1)/(48/(-6880)). Let i = o + 241. Calculate the remainder when i is divided by 40.
29
Suppose -4*r - d + 42 = 0, -5*d = 63*r - 62*r - 1. Calculate the remainder when 85*r*14/35 + -1 is divided by 27.
22
Let q(v) = 2*v**3 - 9*v**2 - 130*v - 36. Let a = -23 - -4. Calculate the remainder when q(11) is divided by 0 - (3 + -2 + a).
17
Calculate the remainder when 4325 is divided by 13 - (-38 - 299/(-13)).
13
Let r = 550 + -630. Suppose 5*l = l + 396. Let g = r + l. Calculate the remainder when 92 is divided by g.
16
Suppose -15 = 3*y, -7*y + 428 = 3*t - 2*y. Let k = 882 + -595. Let r = k + -249. Calculate the remainder when t is divided by r.
37
Suppose 2994 - 441 = 4*w - d, 2*d = 3*w - 1911. Calculate the remainder when w is divided by 32.
31
Let j be ((-4)/2)/(4/(-6)) + -253. Let f = j - -257. What is the remainder when 37 is divided by f?
2
Let n be (0 - 5/30) + (-3709)/(-6). Let f = n - 349. What is the remainder when f is divided by 34?
31
Let d be -3 + 72/30 + 3/5. Suppose -g - 3*j + 54 = d, -2*g + 3*j - 186 = -5*g. Calculate the remainder when g is divided by 34.
32
Let v = -11 - -31. Let g be 8*(1666/88 + v/(-110)). Suppose -5*c = -5 - g. What is the remainder when c is divided by 11?
9
Let c = -28579 - -30766. Calculate the remainder when c is divided by 247.
211
Calculate the remainder when 196 is divided by (-37 - -1)*(4/(-34) - (-312)/(-816)).
16
Let c(k) = -2*k + 0*k + k - k**3 + 3*k**2 - 5*k**2. Suppose 18*g + 74*g = 635 + 1297. Calculate the remainder when g is divided by c(-3).
9
Suppose -3*i = -0*i. Suppose i = 8*c - c - 294. Calculate the remainder when 82 is divided by c/4*8/3.
26
Let t(f) = -28*f + 163. Let z be t(6). Calculate the remainder when 3/z + 234701/335 is divided by 88.
84
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