w + 6*w = -3, 5*f - 99 = -2*w. What is the remainder when 66 is divided by f?
3
Suppose -m + 9*b + 32 = -106, 0 = -3*m + b + 414. What is the remainder when m is divided by 62?
14
Let s = 19 + -9. Suppose -10*h - 169 + 69 = 0. Calculate the remainder when s is divided by h/(-4)*(0 + 2).
0
Suppose -162 = -5*w + 688. Let v(f) = -f**2 + 2*f + 6*f + 163 - w. What is the remainder when 17 is divided by v(4)?
8
Suppose -13*u = -10*u - 33. Suppose 0 = 71*p + 990 - 3049. Calculate the remainder when p is divided by u.
7
Suppose -36*i = -37*i + 174. Let d = i + -423. Let o = -178 - d. What is the remainder when o is divided by 12?
11
Suppose 3*s + 7*h = 165, 0 = 142*s - 139*s + 4*h - 183. What is the remainder when 819 is divided by s?
60
Let j = -20 + 22. Suppose -128 = -4*m - 5*i, m = -j*i + 8 + 21. Let l(c) = -2*c - 11. Calculate the remainder when m is divided by l(-12).
11
Calculate the remainder when 1464/3 - 190/19 is divided by 29.
14
What is the remainder when 5625 is divided by (2 - 2 - -1)/((-33)/(-957))?
28
Let o = 2 + 13. Suppose 27*w = 5 + 76. Calculate the remainder when 38 is divided by 44/w - (-20)/o.
6
Let a(j) = 260*j**2 - 95*j - 24. Calculate the remainder when a(7) is divided by 123.
120
Let r be 1093/3 - 4/(-6). Suppose 4*v + 93 = r. What is the remainder when v is divided by 335/(-268)*(-29 - -1)?
33
What is the remainder when (-2670)/(-9) - (198/(-27))/(-11) is divided by 103?
90
Let j(a) = -8127*a + 227568. Let y = -2 + 2. Suppose -2*u = -y*u - 162. What is the remainder when u is divided by j(28)?
9
Let i = -3667 + 3691. Suppose 2*f - 4*f = -3256. What is the remainder when (-2)/(-12) - f/(-24) is divided by i?
20
Calculate the remainder when 1*4/(-12)*(8 - 2519) is divided by 108.
81
Suppose -5*m = -6*r + 2*r + 692, -348 = -2*r + 3*m. What is the remainder when 228 is divided by r?
60
Suppose -17*h = -53260 + 13140. Suppose 0 = -15*n + 3865 + h. Calculate the remainder when n is divided by 38.
35
Let x = -452 + 1486. What is the remainder when x is divided by 40?
34
Let h = 7241 - 7171. What is the remainder when 74 is divided by h?
4
Let y(w) = 2*w**2 - 7 + 6 + 6*w + 14 - 3*w**2. Let a = -72 + 76. What is the remainder when y(a) is divided by 8?
5
Let g be 1 - 164/2 - -3. Let u = 126 + g. Let b = -3 - -29. What is the remainder when u is divided by b?
22
Let w = 302 + -300. Suppose 31 = w*t - 9. Calculate the remainder when 28 is divided by t.
8
Suppose -294 = -4*b + 30. Calculate the remainder when b is divided by ((-656)/200*5)/(2/(-5)).
40
Let j be (-1)/(-2)*(2 + 864). Let r = -422 + j. Calculate the remainder when 53 is divided by r.
9
Suppose 2*f = -3*f + 20. Suppose -f*t = -5 - 15. Suppose 12*z + 863 = 1031. What is the remainder when z is divided by t?
4
Suppose 28*j = 34*j - 12. Suppose -4*w + j*n = -50, 5*w = -n + 10 + 49. What is the remainder when 119 is divided by w?
11
Let w(a) = -a**3 + 44*a**2 - 47*a + 177. What is the remainder when 507 is divided by w(43)?
2
Suppose -5*l + 420*a = 416*a - 231, -5*l = a - 186. Calculate the remainder when 129 is divided by l.
12
Suppose o - 2 = 5*n + 2, 165 = 5*o + 4*n. Let p = -246 - -253. Let g(a) = 2*a**2 - 3*a + 8. What is the remainder when g(p) is divided by o?
27
Let u(r) = 4*r**2 + 50*r + 455. Calculate the remainder when u(-9) is divided by 70.
49
Suppose u - 57 = 77. Let o = 3756 + -3741. Calculate the remainder when u is divided by o.
14
Let z(v) = -3*v + 27. Let b = -40 + 38. What is the remainder when z(7) is divided by -3 + (b - -3) - -8?
0
What is the remainder when 207 is divided by (3/(-12)*-20 - -1) + 93?
9
Let w(d) = 8*d**2 - 19*d + 115. What is the remainder when w(-5) is divided by 60?
50
Suppose 11*b = -24*b + 219997 - 14687. What is the remainder when b is divided by 367?
361
Let p(k) = 3*k**2 - 3*k - 196. Calculate the remainder when p(-10) is divided by 10.
4
Suppose 36 + 44 = 5*d. Suppose -4*z = 4*z - d. Calculate the remainder when 6 is divided by (z + 3 - -1) + (0 - 0).
0
Let a(l) = l**3 + 16*l**2 + 14*l + 541. What is the remainder when 15 is divided by a(-17)?
1
Suppose 23*z = 688 + 140. Calculate the remainder when z + -31 - (-51 + 2) is divided by 6.
0
Let s(m) = m**3 - 5*m**2 + 3. Let g(x) be the second derivative of -x**3/3 - 11*x**2/2 - 9*x. What is the remainder when g(-9) is divided by s(5)?
1
Let f(s) = 7*s**2 + 419*s + 299. What is the remainder when f(-60) is divided by 19?
17
Suppose 206*w - 1166 - 2598 = -3*w + 3551. What is the remainder when w is divided by (13 + 1)*(-1)/(-1)?
7
Let x(y) = 2*y + 20. Let t be x(-11). Suppose -5*k + g + 76 = 0, -g = 3*k - 2*g - 44. What is the remainder when ((-3)/t)/(33/1364) is divided by k?
14
Calculate the remainder when 265 is divided by (-11 + 16)*93/15.
17
Suppose 7*m - 10*m + a = 14, 2 = 2*m + 5*a. Let z(n) = n**2 - n - 1. Let t be z(3). What is the remainder when 72 + (t - (m - -4)) is divided by 8?
5
Let g(c) = 2*c**2 - 3*c + 5. Suppose 4*i = 2*p - 3*p + 46, -3*p - 18 = -i. What is the remainder when g(4) is divided by ((-8)/i)/(((-4)/42)/1)?
4
Suppose -4*w = 2*c - 798, -w - c = -1452 + 1255. Calculate the remainder when w is divided by 17.
15
Let y(o) = -o + 28. Let f be y(24). Suppose -k = -5*v + 52 - 10, -v + f*k + 16 = 0. Calculate the remainder when 51 is divided by v.
3
Let d = 123 - -29. Suppose 0 = -3*o - a + d, 5*o + 4*a - a = 260. Let b = -38 - -64. Calculate the remainder when o is divided by b.
23
Let d be ((-14)/(-5))/((-15)/(-450)). Let p = d - 78. What is the remainder when 8/p + 3949/33 is divided by 25?
21
Let j(f) = f**3 + 4*f**2 + 3*f - 5. Let s be j(-5). Let i = s - -50. What is the remainder when 39 is divided by ((-10)/i)/((-6)/63)?
18
Let k = 1 - -2. Suppose -25*x = -73 - 52. Suppose -x*i + 56 = 5*z - i, 51 = 4*z - 3*i. What is the remainder when z is divided by k?
0
Let z = 119 + -4. Let q be ((-276)/z)/(2/(-35)). Suppose 5*b + 2*b - q = 0. Calculate the remainder when 23 is divided by b.
5
Suppose -29 = -2*k + k. Let x(z) = 2*z - 2. Let l be x(3). Suppose -l - 28 = -4*g. Calculate the remainder when k is divided by g.
5
Suppose -53*x + 58034 + 36412 = 0. What is the remainder when x is divided by 51?
48
Suppose -3*s + 3*w + 1104 = 0, 4*s - 3*s = 3*w + 368. Let t(o) = -o**3 - 16*o**2 - 16*o + 10. What is the remainder when s is divided by t(-15)?
18
What is the remainder when 162/4 - ((-15)/21)/((-4)/(-14)) is divided by 16?
11
Suppose 11248*h = 11255*h - 23016. Calculate the remainder when h is divided by 10.
8
Suppose y + 4*y + 605 = -5*d, 0 = -3*y - 15. Let p = d + 139. What is the remainder when 78 is divided by p?
9
Let z = 7294 + -4956. What is the remainder when z is divided by 42?
28
Let s(h) = -4*h - 83. Let n be s(7). Let l = n - -123. Calculate the remainder when 22 is divided by l.
10
Suppose 3*d - 4*p + 36 - 104 = 0, 0 = 3*p - 3. Suppose -d*b + 15*b = -162. What is the remainder when b is divided by 8?
2
Suppose 2*g = -3*c, 5*g - 4*c = -0*c. Let x = 264 + -260. Suppose f = -4*k + 823, x*k - 4*f - 991 + 143 = g. What is the remainder when k is divided by 42?
39
Let g(l) = l**2 + 6*l - 7. Let t be g(-8). Suppose -t*y = -13*y. What is the remainder when 5 is divided by (-119)/(-28) - (y - (-1)/4)?
1
Let f be 2/((-4)/39)*432/162. Calculate the remainder when ((-3)/((-36)/f))/((-2)/30) is divided by 34.
31
Let k be -14*8/(12 + -8). Let a(b) = -b**2 - 30*b - 8. Let x(w) = -10*w - 2. What is the remainder when a(k) is divided by x(-3)?
20
Let y = 1065 - 962. Calculate the remainder when y is divided by 25.
3
Suppose 16*f = -149*f + 52470. What is the remainder when 7944 is divided by f?
312
Calculate the remainder when ((-24)/(-24))/(3/324) is divided by 60.
48
Let u(v) = -12*v**2 + 7*v - 70. Let a be u(7). Let o = -533 - a. What is the remainder when o is divided by 26?
24
Suppose 3*j - 3 = 0, -5*c = 5*j - 9*j - 651. Suppose -d = 14 - 10. Calculate the remainder when c is divided by (-2)/d - 356/(-8).
41
Suppose 5*x - 186 = -116. Suppose -5*t + 4*z + 47 - 11 = 0, 2*z = 5*t - 28. Suppose -x = -t*w + 2, 2*i + 12 = 5*w. What is the remainder when 4 is divided by i?
0
Suppose 4*m = -3*w + 205, -2*w + 3*m - 2 + 150 = 0. Let d = -32400 - -32409. What is the remainder when w is divided by d?
8
Let q = 3867 + -3791. What is the remainder when 154 is divided by q?
