- z + 100 = w, 0 = 3*x + 5*w - 76. Calculate the remainder when 156 is divided by x.
21
Let p(h) = -h**3 - 20*h**2 + 19*h - 27. Suppose 42 = -692*o + 690*o. Calculate the remainder when 44 is divided by p(o).
14
Let p(m) = 172*m - 8502. Suppose k + 1 = 3. Suppose 2*a = 3*t + 7, k*a + 23 = 5*a - 2*t. Calculate the remainder when p(50) is divided by a.
10
Let g(b) = -4*b - 7 + 6 - 6*b. Suppose -r = 3*d - 16, -3*r - d + 594 - 562 = 0. Calculate the remainder when r is divided by g(-1).
1
Let h = 3734 + -2853. Calculate the remainder when h is divided by 56.
41
What is the remainder when 1074 is divided by (-39568)/(-126) - 22/693?
132
Let i be (1 - 0) + 20 - (-6)/(-2). Suppose -4*k + 5*u = -223, 2*k + 16*u - 112 = i*u. Calculate the remainder when k is divided by 26.
5
Calculate the remainder when -14 - 15/(-3) - -988 is divided by 248.
235
Let n = -109 + 121. Let j = n - -9. What is the remainder when 438 is divided by j?
18
Suppose -2*q + 12 = 2*x, -13 = -3*x - 5*q + 11. Let r = -31 - 133. Let o = r - -174. What is the remainder when o is divided by x?
1
Suppose -u + 1477 = -6*c + 10*c, 4*u - 358 = -c. Let l = 583 - c. Calculate the remainder when l is divided by 37.
28
Suppose -s + 70 = -2*x, -69 = -s + 159*x - 158*x. Calculate the remainder when 416 is divided by s.
8
Suppose 0 = -4*a + 12, -2*q - 3*a = -8*a + 21. Let k = 261 - q. Suppose 8*o - k = -96. What is the remainder when o is divided by 12?
9
Suppose -4*k + 5*q + 1107 = -2*k, 2*k - 4*q - 1112 = 0. Let j = k - 316. What is the remainder when j is divided by 51?
46
Let g = 2579 - 2512. Calculate the remainder when 265 is divided by g.
64
Let w = -137 + 138. What is the remainder when 128 is divided by (5 + (-3)/w)/(6/36)?
8
Let o be -1 - -814 - ((15 - 5) + -7). Let s = o - 796. What is the remainder when 345 is divided by s?
9
Let l be 2810/13 - 8/52. Let h = l + -98. Suppose -3*o = -o - 3*g - h, g + 295 = 5*o. Calculate the remainder when o is divided by 20.
19
Suppose 4*u - 3*o = -o + 24, 2*u - 10 = 2*o. Let z be 63/(-45) - (u/(-5) - -2). What is the remainder when 67 is divided by (51/(-9) + z)/((-2)/6)?
21
Let a(i) = -23*i**2 - 6*i + 9. Let q be a(-5). Let n = q + 658. What is the remainder when n is divided by 67?
55
Let w(c) = -c**2 + 13*c + 47. Let r be w(-3). Let i(d) = -27*d - 12. Calculate the remainder when i(r) is divided by (-2)/(20/(-9) - -2).
6
Suppose 3*z = -y - 56, -7*y + 2*y + 3*z = 208. Let h = 47 + y. Suppose -25 = -5*i, -h*p + 0*i = 4*i - 128. What is the remainder when 105 is divided by p?
33
Let q be 24/32*160/12. Suppose 19 - 249 = -q*h. What is the remainder when 61 is divided by h?
15
Let a(x) = 4*x + 924. Let q be a(0). Suppose 28*d - q = -280. Calculate the remainder when 172 is divided by d.
11
Let t = 6270 + -5497. What is the remainder when t is divided by 155?
153
Let h = 160 + -85. Let r(b) = -94*b + 561. Let a(k) = 3*k - 1. Let d(u) = -5*a(u) + r(u). Calculate the remainder when h is divided by d(5).
12
Suppose 2*l - 43 = 3*f, 0*l + 4*l = -2*f + 78. Let z(q) = 2*q**2 - 49*q - 6. Calculate the remainder when z(26) is divided by l.
12
Let v(a) = -a**2 - 2*a. Suppose -27 = 5*o + 4*o. Let u be v(o). Calculate the remainder when 35 is divided by (u - 0 - 1) + 12.
3
Let c(k) = 4*k + 38. Let s be c(-9). Suppose -u - 16 = -4*a, 0 = -s*a + 6*a. Calculate the remainder when (u/(-5) + 0)/((-35)/(-350)) is divided by 5.
2
Let u(k) = k**2 + 2*k - 6. Suppose 4*r - 12 = -32. What is the remainder when 114 is divided by u(r)?
6
Suppose 6*i - 30 = 2*i - 2*z, -5*i = -7*z - 85. Calculate the remainder when 7479 is divided by i.
9
Let t(c) = -4*c - 63. Let s(u) = u**3 + 7*u**2 - 11*u - 21. Let b be s(-8). What is the remainder when t(-25) is divided by b/(-2)*2*39/(-9)?
11
Suppose 0 = -5*p - 25, 80*i - 75*i = 4*p + 315. What is the remainder when 726 is divided by i?
18
Suppose 7*t - 21*t = 84. Let g be (-4)/t*(-72)/(-16). Suppose -f + 35 = 2*f + 5*b, -32 = -4*f - g*b. Calculate the remainder when 21 is divided by f.
1
Suppose -2*d = 4*v + d - 3797, 0 = -2*v + 2*d + 1902. Calculate the remainder when v is divided by 136.
134
Let a(f) = -f**2 + 15*f + 20. What is the remainder when (-12)/(-30) - (-3399)/15 is divided by a(8)?
75
Let s = 0 - -7. Let x = -14901 + 14920. Calculate the remainder when x is divided by s.
5
Let t = 12 - -5. Let p(n) = 2*n**3 - 14*n**2 - 10*n - 4. Suppose 25 = 5*i + 3*x, 1 = i + 2*x + 3. What is the remainder when p(i) is divided by t?
10
Let j(d) = -104*d + 4316. Let p = -17 - -26. What is the remainder when j(41) is divided by p?
7
Let t = -40415 + 45190. What is the remainder when t is divided by 12?
11
Let v(j) = 2*j**3 - 10*j**2 + 168*j - 1423. Calculate the remainder when v(9) is divided by 54.
35
Suppose 45 - 126 = -z. Suppose -86*b - 30 = -z*b. What is the remainder when 62 is divided by ((-136)/b)/((-2)/18*-6)?
28
Suppose -97912 = -77*z - 3048. What is the remainder when z is divided by 104?
88
Calculate the remainder when 458 is divided by 7 + (-273)/35 - 2547/(-15).
120
Suppose 4*c + 3*a - 29 = 4*a, 2*c + 3*a = 25. Suppose -7*t = -11*t - c, -2*h + 62 = -5*t. What is the remainder when h is divided by 11?
4
Let p(h) = h**2 - 12*h - 4. Let o be p(12). Let w(x) = 4*x**3 + 29*x**2 - 2*x + 7. Calculate the remainder when w(-7) is divided by (-35)/o + (-12)/16.
6
Let w be (-48)/(-4)*4/(-3)*-40. Suppose 0*m = -40*m + w. What is the remainder when 95 is divided by m?
15
Calculate the remainder when 626 is divided by 1395/(-12 - -21) + 7.
140
Let x = 45 + -49. Let f = x - -10. Suppose 4*c - 2 = f. Calculate the remainder when 5 is divided by c.
1
Let g(d) = d**3 + d - 192. Let w be g(0). Let z = w - -331. What is the remainder when z is divided by (-97 - 8)*(-4)/12?
34
Let s be 108/(-81)*(1 + -7). Suppose -1737 + 81 = -s*b. Calculate the remainder when b is divided by 42.
39
Let o(b) = 42 + 46 + 130 + 41*b. What is the remainder when 207 is divided by o(-5)?
12
Let k(b) = -b**3 - 3*b**2 + b + 12. Let w be k(-6). Let h = w + -104. Calculate the remainder when 22 is divided by h.
2
Let b(v) = 6*v - 45. Let p be b(9). Suppose -p*s + 369 = -63. Calculate the remainder when (-11990)/(-77) + (-2 - s/(-21)) is divided by 53.
50
Suppose 9*r - 141 = -t + 7*r, -2*t = 5*r - 290. Let q = 51 - 9. Calculate the remainder when t is divided by q.
41
Suppose 5*y + 2*w - 337 = w, -y + 80 = -4*w. Calculate the remainder when y is divided by (6030/268)/(2/4).
23
Let h(q) = 3*q**2 - 18*q**3 + 17*q**3 + 36 + 13*q - 19*q**2 + 24*q. Suppose 2*j - 38 = 16. What is the remainder when j is divided by h(-18)?
9
Let n = -2337 - -2831. Calculate the remainder when n is divided by 162.
8
Let i(x) = 5027*x**2 - 20*x - 20*x - 5028*x**2 - 174. What is the remainder when i(-10) is divided by 21?
0
Let w(g) = -1540*g + 6231. What is the remainder when 3973 is divided by w(4)?
68
Let k(h) = 2*h**2 - 2*h + 1. Let w = 3073 - 2920. Calculate the remainder when w is divided by k(5).
30
Let b be 2024/(-132) - 4/6. Calculate the remainder when ((-4)/(b/(-54)))/(138/(-184)) is divided by 10.
8
Suppose -5*z + f = 397, -5*z - 385 = -3*f - 2*f. Let r = 231 - z. Calculate the remainder when r is divided by 63.
59
Let o = -114 - -125. Suppose 87 = -o*k + 516. What is the remainder when k is divided by 10?
9
Let a = 57 + -51. Suppose a*z + 810 = -0*z. Let u = 189 + z. What is the remainder when u is divided by 28?
26
Suppose -3*q - 9 = -4*i, -2*q = 2*i - 0*i - 8. Let a = -33 + 55. Suppose 12*f = a + 14. What is the remainder when i is divided by f?
0
Suppose 2*r - 5*y - 2132 = 5846, -3*r + 4*y = -11967. What is the remainder when r is divided by 13?
11
Let j(q) = q**3 + q**2 - 24*q + 21. Let a be j(6). Let d = -65 + a. What is the remainder when 252 is divided by d?
60
Suppose 297*q - 212*q - 6715 = 0. Let h = 15 + -10. Suppose -h*j + 87 = -48. Calculate the remainder when q is divided by j.
25
Let t = 4 + 26. Let i(j) be the second derivative of j**4/12 - 2*j**3/3 + 3*j**2 - 10*j. Calculate the remainder when t is divided by i(5).
8
Let u be 24/260*20 + (-2)/(-13). Suppose 5*h + 7*m = 10*m + 306, 124 = 2*h - u*m. Calculate the remainder when h is divided by 16.
12
Suppose 0 = 91*s - 88*s + 18, 4*g = 2*s + 160. What is the remainder when 2439 is divided by g?
34
What is the remainder when 