e 2*s = 4*i + 48, -3*s - 3*i + 7*i + 80 = o. What is the remainder when s is divided by 12?
8
Let v be 10 - ((-6)/(-1) + -30 + 29). What is the remainder when (-273)/(-14)*(v - 0 - 3) is divided by 19?
1
Let n(k) = -9*k - 21. Let j be n(-3). Suppose j*t + 1707 - 6003 = 0. Calculate the remainder when t is divided by 16.
12
Suppose -62 = -7*x + 36. Suppose 0 = 2*o + x*o - 256. What is the remainder when 61 is divided by o?
13
Let f = -99 - -168. Let r = f + -64. What is the remainder when 53 is divided by r?
3
Let u be 0*5/15*(-2)/(-2). Suppose u*z + 6*z - 696 = 0. Let a = 123 - 84. What is the remainder when z is divided by a?
38
Suppose -120 = -8*t + 6*t + 2*k, 2*t = -4*k + 144. Suppose -221 = -2*a + 185. What is the remainder when a is divided by t?
11
Let b = 99 + -79. Let t(r) = -2*r**2 + 38*r + 44. What is the remainder when 286 is divided by t(b)?
2
Suppose 3*d = -i + 53, -d = 3*i + d - 187. Let z = -124 + 150. What is the remainder when i is divided by z?
13
Suppose 20*d = 8*d + 48. Suppose 20 = d*b, 5*q + 4*b - b = 225. What is the remainder when q is divided by 13?
3
Suppose 0 = k - 5*f - 989, -21*k + 995 = -20*k - 4*f. What is the remainder when k is divided by 40?
19
Let f be 0*1/(-5)*1. Suppose f = -0*k - 5*k. Suppose 5*x + 12 - 137 = k. What is the remainder when 123 is divided by x?
23
Suppose -19 + 865 = 18*l. Let i(v) = 2*v**2 - 10*v + 36. What is the remainder when l is divided by i(2)?
23
Let c(q) = 12*q**2 - 4*q + 4. Let f = -83 + 41. Calculate the remainder when c(2) is divided by (1 + 22)*6/f*-7.
21
What is the remainder when 10850 is divided by (-274 + -2)/(-2) - (-724)/(-181)?
130
Suppose 304 = 107*u - 88*u. Calculate the remainder when 298/6 + 3/9 is divided by u.
2
Suppose -3*o + 4*a = 8, -3*o + o - a = -2. Suppose -f - 3*j = -7, o = -f - 3*j - 2*j + 7. What is the remainder when 215 is divided by f?
5
Suppose 0 = -4*h + 3*h + 7. Suppose -u + 7 - 18 = -3*l, -3*l + 5*u + 31 = 0. Calculate the remainder when (l + 18)*7/14 is divided by h.
3
Suppose 0 = -a + 4*a. Let i(m) = 7*m - 32. Let p be i(5). Suppose a = p*w + w - 152. Calculate the remainder when w is divided by 13.
12
Suppose -a = 10*d - 11*d - 13, 4*d = 2*a - 36. Suppose -l + 2*k = -46, 113 = 10*l - 7*l - k. Calculate the remainder when l is divided by a.
4
Suppose -37*w + 1022 = -125. Let p(r) = r**3 - 6*r**2 + 4*r - 5. Let m be p(5). Let l = m + 15. Calculate the remainder when w is divided by l.
1
Let d(l) = 3*l + 188. Calculate the remainder when d(95) is divided by 80.
73
Let w be 15/(-12) + (-5)/(-20). What is the remainder when (-3)/(-2)*6/(-36)*-148 is divided by 2*w*26/(-4)?
11
Suppose -2*b = 2*o - 7546, -9*o = -17*o + 4*b + 30136. Calculate the remainder when o is divided by 1250.
19
Suppose -2*c + 5 = -29. Let g be (16/(-64))/((-2)/8). Calculate the remainder when c is divided by 14/(-28)*g*3*-4.
5
Let g(b) = -3*b**2 + 141*b - 807. Calculate the remainder when g(39) is divided by 86.
43
Suppose -4*w = -12, -2*i + 238 = 2*w + 8. Suppose -n + 5*n - i = 4*q, -4*n + 104 = -2*q. What is the remainder when n is divided by ((-33)/33)/((-2)/6)?
0
Suppose 61 = 5*b + 3*f - 62, -105 = -3*b + 6*f. What is the remainder when (-2)/10 - 1164/(-20) is divided by b?
4
Let l(j) = -j**3 + 22*j**2 - 2*j + 51. Let d be l(22). Suppose -4*z + 40 = d*h - 3*h, 2*z - 2*h = 8. Calculate the remainder when 31 is divided by z.
3
Let o(z) = z**3 + 28*z**2 - 27*z + 28. Let g be o(-29). Calculate the remainder when (-2 + g/(-9))/((-12)/(-1098)) is divided by 25.
22
Suppose -5*i + 6 = -39. What is the remainder when (131292/441)/(8/14) is divided by i?
8
Let r be 16/12*3 - -19. Suppose -8*x + 41 + r = 0. Suppose k + 0 = x. Calculate the remainder when 14 is divided by k.
6
Let z = 13 - 1. Suppose z*b = 8*b + 20. Suppose -b*x + 3*m + 9 = -154, 4*x - 4*m - 124 = 0. Calculate the remainder when 67 is divided by x.
32
Let a = 203 + -210. What is the remainder when 220 is divided by (-24)/(-1) + a - (-4)/(-2)?
10
Let w(l) = 2*l**2 + 4*l + 4*l**2 + l**3 + 4 + 2. Suppose 0 = -2*i + 5*c - 23, 0 = 6*i + 10*c - 6*c + 12. What is the remainder when w(i) is divided by 7?
1
Let t(n) = -64*n - 2. Calculate the remainder when t(-3) is divided by -17 - (-2)/((-44)/(-1078)).
30
Suppose 2*q = -3*c + 4*q - 40, 4*q = 3*c + 44. Let y(h) = 4*h + h**3 - 11*h**2 - 5 + 3*h + 2*h - 2*h**3. Calculate the remainder when y(c) is divided by 12.
7
Suppose 4*x + 3*u + 2*u = 17, x + 2 = 5*u. Let l(m) = m**2 + 62. What is the remainder when l(0) is divided by ((-9)/x)/(1 - (-56)/(-49))?
20
Let h be (-1361)/10 + -1 + 16/160. Let g = h + 161. Suppose 282 + 63 = 5*z. What is the remainder when z is divided by g?
21
Let i(s) = s**2 - 21*s + 13. Let a be i(21). Suppose -a*p + 245 = -28. Suppose 0 = -4*o - 0*o + 44. Calculate the remainder when p is divided by o.
10
Suppose -2*v + 244 = -6*v. Suppose -5*f + 2*s = -605, -4*f + 10*s = 7*s - 491. Let l = f - v. Calculate the remainder when l is divided by 46.
42
Suppose 2*j - 5*j = 60. Calculate the remainder when (4 + (-19 - -14))*(-106)/2 is divided by 4/j + (-82)/(-10).
5
Let m(v) = 19*v**3 - v**2 + 18*v - 60. Let t be m(3). Let b = 525 - t. Calculate the remainder when 215 is divided by b.
26
Let a = 2197 - 907. Suppose 5*x + 2*z - a = 0, -1290 = -8*x + 3*x + 5*z. What is the remainder when x is divided by 52?
50
Suppose 5*c + 445 = 3499 + 1566. What is the remainder when c is divided by 141?
78
Let k = -17854 + 17875. What is the remainder when 2894 is divided by k?
17
Suppose 103*a - 773*a - 125*a + 628845 = 0. What is the remainder when a is divided by 130?
11
Let m(s) = s**3 - 2*s**2 + 2. Let t = -5688 + 5716. Calculate the remainder when t is divided by m(3).
6
Let y(u) = -13*u**2 - 6*u + 20*u**2 - 3*u**3 - 1 + 0. Let d(k) = -k**3 - k - 1. Let p(j) = -2*d(j) + y(j). Calculate the remainder when p(6) is divided by 8.
5
Let c be (2/5)/(4/20). Let b(q) = 2*q - 16 - 2*q**2 - 9*q**2 + 10*q**c + 9*q. What is the remainder when 25 is divided by b(6)?
11
Let j be (77/(-3) + -2)/((-1)/3). Suppose j = 2*m - b, 211 = 4*m - 4*b + 51. Suppose 3*a - m = -1. What is the remainder when a is divided by 2?
0
Let t = 119 - 119. Suppose 9*n + 47 - 254 = t. Suppose p + v = 10, -21 = -3*p - 2*v + 11. Calculate the remainder when n is divided by p.
11
Suppose -50*y - 49*y = -101*y + 8358. What is the remainder when y is divided by 20?
19
Let l(g) be the second derivative of g**5/20 + 5*g**4/6 + g**3 + 13*g**2/2 - 5*g - 1. What is the remainder when l(-7) is divided by 24?
22
Suppose -3*d = d - 5*l + 29, l = 2*d + 7. What is the remainder when 3/(3/23)*(2 + d) is divided by 20/3 - 1/(-3)?
2
Suppose 23423 = 16*l + 2*l - 4855. Calculate the remainder when l is divided by 131.
130
Suppose -391*x - 3539 - 14131 = -421*x. What is the remainder when x is divided by 117?
4
Let a = 130 + -130. Suppose a = -11*l + 28 + 49. What is the remainder when (-214)/(-8) + -3 + (-2)/(-8) is divided by l?
3
Let j = -10091 - -10767. Calculate the remainder when j is divided by 293.
90
Suppose 109 = a + 15. Let m = 3340 - 3316. Calculate the remainder when a/3*(-6)/(-2) is divided by m.
22
Let i(j) = -j**2 + j - 516 - j**3 + 533 - 2*j. Let l be (-1)/1*0/4. What is the remainder when 82 is divided by i(l)?
14
Let t = 9 - 3. Let p(g) = g**3 + 92*g**2 - 181*g + 711. Calculate the remainder when p(-94) is divided by t.
5
Let j(q) = 39*q**3 + 16*q**2 - 16*q. Calculate the remainder when 230 is divided by j(1).
35
Let m(a) = 4*a + 15. Let r be m(-3). Suppose -3*n + 633 = 4*g, 2*g - 422 = -2*n + r*g. What is the remainder when n is divided by 72?
67
Let m(i) = i**3 - 20*i + 34. Calculate the remainder when 15641 is divided by m(-5).
8
Suppose 5*p = -4*g - 24 + 7, -2*g - 2*p = 6. Suppose g*a - 141 = -3*u, -9 = 4*u - 21. Let l = a - -10. What is the remainder when l is divided by 11?
10
What is the remainder when 597 is divided by 1/(10*5/2300)*1?
45
Let v be 23/((-460)/(-1632)) - (-9)/(-15). Calculate the remainder when 301 - 9/(v/(-36)) is divided by 14.
11
Let g = -95 + 99. Let j(a) be the second derivative of -2*a**3/3 - 11*a**2/2 + 13*a. What is the remainder when j(-6) is divided by g?
1
Suppose -u = -4*r - r + 175, -r + 4*u = -54. Suppose -r*j = -29*j - 165. Suppose j + 6 = k. Calculate the remainder when 114 