l be b(u). Calculate the remainder when l/(-6) - ((-9212)/(-21))/(-7) is divided by 33.
30
Let z(a) = -a**3 - a**2 + 4*a - 2. Suppose -1443 + 18363 = 423*b. Calculate the remainder when z(-5) is divided by b.
38
Let t(o) = 606*o + 821. What is the remainder when t(0) is divided by 62?
15
Let s(h) = 273*h - 4556. What is the remainder when 670 is divided by s(17)?
75
Let h be 0*5/(-6)*(-22)/(-55). Let z = 16 + h. What is the remainder when 61 is divided by z?
13
Let a be 15/(-4)*448/(-21). Suppose a*w = 74*w + 126. Let l = -10 - -17. What is the remainder when w is divided by l?
0
Suppose 3975 + 453 = 33*z - 258. Calculate the remainder when 1848 is divided by z.
2
Let z = 107 + -31. Let v = -189 - -219. Calculate the remainder when z is divided by v.
16
Let l = 69 + -49. Let p(r) = r**2 + 7*r + 11. Let s be p(-6). Suppose -t + 3*z = -3, -3*t + s*z + 0 + 21 = 0. Calculate the remainder when l is divided by t.
8
Suppose 32 = 5*i - 8. Suppose -i*m + 164 = -92. Calculate the remainder when m is divided by 105/10 - 1/(-2).
10
Let t = -5588 + 6874. What is the remainder when t is divided by 9?
8
Let u = -1319 - -1348. Let x(l) = -10*l**3 + 8*l**2 + 17*l - 6. What is the remainder when x(-3) is divided by u?
24
Suppose -3*j - 10 = 5, j = -3*r + 4. Suppose 3*i - 114 = 4*f - f, -155 = -4*i + r*f. What is the remainder when 21*85/60*4 is divided by i?
37
Suppose 0 = -u - 8*u - 513. Let v = u - -59. Suppose -4*m - v*m = -738. What is the remainder when m is divided by 21?
18
Let r(m) = -m**2 + 11*m - 23. Let w be r(9). Let y(o) = 4*o**2 - 9*o - 20. Calculate the remainder when y(w) is divided by 18.
17
Suppose 62 + 37 = 7*z + 26*z. What is the remainder when 49 is divided by z?
1
Suppose -317 = -5*m - 177. Suppose c - 3 = -0*c. Calculate the remainder when m is divided by c.
1
What is the remainder when 713 is divided by ((-8)/52)/(43/(-45838))?
57
Let s = -2 + 100. Suppose 241 = 18*j - 171 - 254. Calculate the remainder when s is divided by j.
24
Let j be 1 + 5 + (0 - 3). Suppose j*s - 604 = -223. Suppose 2*x = m - 42, -5*m + 5*x + 80 + 105 = 0. What is the remainder when s is divided by m?
31
Calculate the remainder when (-4488)/14*665/(-190) is divided by 25.
22
Let g be (-6)/21 + 4/14. Suppose 14 = -4*t + 54. Let x = g + t. What is the remainder when x is divided by 7?
3
Suppose 3*o - 5*w = 278, 4*o - 5*w = -4*w + 399. Calculate the remainder when 17774 is divided by o.
99
Suppose -5*n = -3*v - 282, 0*v + v = -n + 50. Suppose -2*j = -3*h - 133, -122 + 438 = 5*j - 2*h. Let q = j - n. What is the remainder when q is divided by 4?
0
Let z(a) = a**3 + 16*a**2 + 37*a + 137. Calculate the remainder when z(-12) is divided by 9.
8
Let g be (2624/80)/(1/5). Suppose -7*n + g = -18. Suppose 4*b = n + 34. What is the remainder when 41 is divided by b?
11
Let o be ((-2)/12*-3)/((-11)/22). Let k be o/4 + (-143)/(-44). Suppose 27 + 39 = 3*q - 5*i, 43 = 2*q - k*i. What is the remainder when 59 is divided by q?
8
Suppose o + 5*c = 3*c + 2, 2*c + 10 = 5*o. Suppose 169 = o*x - b, 6*x - 7*x + b = -84. What is the remainder when x is divided by 44?
41
Suppose 5*j = 5*c - 2885, -4*c + 1965 = -5*j - 344. What is the remainder when c is divided by 116?
112
Suppose 115 = w + 113, -126 = -4*z - 5*w. What is the remainder when 219 is divided by z?
16
Let a(j) = j**2 - 9*j - 760. Calculate the remainder when 605 is divided by a(-24).
29
Let y = 45198 - 45170. Let o = -124 + 176. What is the remainder when o is divided by y?
24
Let d(t) = -2*t**2 - 20*t - 9. Let k(b) = -b**3 + 11*b**2 + 8*b + 39. Let n be k(12). What is the remainder when 64 is divided by d(n)?
1
Suppose 81*b + 230 = 82*b. Let a = b - 221. Calculate the remainder when 35 is divided by a.
8
Let o(q) = q**3 - 9*q**2 + 2*q + 18. Let w(y) be the first derivative of -3*y**2 + 5*y - 7. Calculate the remainder when o(10) is divided by w(-5).
33
Let i(z) = 251*z**3 + 2*z**2 - 16*z + 56. What is the remainder when i(3) is divided by 63?
62
Suppose 11*o - 15*o = -g - 19, 5*g = -5*o + 30. Suppose -523 + 443 = -o*c. Let q = -27 + 58. What is the remainder when q is divided by c?
15
Suppose 0 = -5*o - d + 746, 4*d - 474 = -3*o - d. Calculate the remainder when 153 is divided by o.
5
Let m(h) = h**3 - 11*h**2 + 14*h - 33. Suppose 0*x + 157 = 2*q - x, q - 101 = 5*x. What is the remainder when q is divided by m(10)?
6
Suppose 0 = 3*l - 85 - 2. Let h(j) = -j**2 + 17*j + 161. Let k = -146 + 164. Calculate the remainder when h(k) is divided by l.
27
Suppose 0 = 3*b - 5*b. Suppose b = -3*t + 215 + 76. Let q(c) = 138*c + 853. What is the remainder when t is divided by q(-6)?
22
Let u be 1/(-4) - 9492/(-16). Let a = u + -298. Suppose 4*i - a = i - 2*d, -2*i + 3*d + 175 = 0. What is the remainder when i is divided by 32?
31
Let i = 4 - -16. Suppose i = -l + 340. Suppose 4*k = -5*a - 0*k + 360, 4*k + l = 5*a. What is the remainder when a is divided by 7?
5
Let b(o) = -175*o - 1340. Let y(z) = 44*z + 335. Let m(k) = -2*b(k) - 9*y(k). What is the remainder when m(-8) is divided by 18?
15
Suppose 1518*v - 1467*v = 4692. What is the remainder when 332 is divided by v?
56
Let c = -120 - -336. Let v = 677 - c. Calculate the remainder when v is divided by 42.
41
Let g(k) be the second derivative of -k**5/20 + k**4/2 - 11*k**2/2 - 148*k. What is the remainder when 263 is divided by g(5)?
11
Suppose -84 = 49*o - 7*o. What is the remainder when 587 is divided by -3 + (o + 10/2 - -7)?
6
Let r be 7/(-1)*228/(-42). Let g = r + -11. Let l(h) = h + 1. Calculate the remainder when g is divided by l(9).
7
Suppose -3*p + 159*g + 183 = 158*g, 4*p + 5*g = 301. Let v(q) = 252*q**3 - q**2 + q - 1. What is the remainder when v(1) is divided by p?
59
What is the remainder when 208 is divided by (-4503)/(-133)*-7*(-2)/6?
50
Suppose 0 = -5*w + 3*v + 730, 4*w - v - 5001 = -4424. What is the remainder when 648 is divided by w?
76
Let i(h) = -2*h**2 + 174*h + 782. What is the remainder when 18844 is divided by i(91)?
52
Suppose 61*d = 6*d + 10120. What is the remainder when 663 is divided by d?
111
Suppose 5*i - 132 = 2*i. Let d(y) be the third derivative of -y**4/12 + y**3/6 + 2*y**2. Calculate the remainder when i is divided by d(-7).
14
What is the remainder when 755 is divided by 4 + (1 - -85 - ((-24)/4 - -1))?
90
Suppose -d - 8*n = -10*n - 1914, -d + 1896 = n. What is the remainder when d is divided by 212?
206
Let d be (-4)/10 - (-289)/85. Suppose 3*h - d*f - 80 = 40, -35 = -h + 2*f. Calculate the remainder when h is divided by 11.
1
What is the remainder when 3 - (-557 + -1 + -7*(-32)/28) is divided by 161?
70
Let k(y) = y + 1. Let h(f) = 6*f**2 - 8*f - 16. Let w(u) = h(u) + 4*k(u). Let o be (-6)/21 - (-57)/(-21). What is the remainder when w(o) is divided by 28?
26
Let o = -18 - -28. Suppose -15*d = -o*d - 145. Suppose -3*s = -3*b + 3 + 9, 5*b - 3*s = 24. What is the remainder when d is divided by b?
5
Let x = 115 - 112. Suppose -p + x*z + 12 = 0, 23 = 3*p - z + 5*z. Suppose i - 105 = -2*i. Calculate the remainder when i is divided by p.
8
Let m(r) = -9*r + 12. Let u be m(-24). Let s = -221 + u. What is the remainder when 28 is divided by s?
0
Suppose 572 = 32*o + 316. What is the remainder when 1868 is divided by o?
4
Let z(n) = -5*n + 27. Let h be z(-9). Let q = 107 - h. What is the remainder when q is divided by 12/(-3)*-3 + -2?
5
Let f = 71 - 75. What is the remainder when 77 - (-4 - (f - -5)) is divided by 49?
33
Suppose -4*t + t = -5*x - 45, 5*t = 3*x + 59. Suppose c + 3*i = -0*c + t, 3*c + 4*i - 40 = 0. Calculate the remainder when 79 is divided by c.
15
Let u = -144 + 142. What is the remainder when (6/(-12))/(u/4) + 101 is divided by 25?
2
Let n = 385 + -383. Let g(r) = r**3 + 4*r**2 - 5*r - 1. Calculate the remainder when 47 is divided by g(n).
8
Suppose 4*b + 5*m - 119 = 0, 0 = -4*b + 6*b - m - 63. Suppose 3*c - 2*g - 41 = -4*g, -c - 5*g = -b. What is the remainder when 74 is divided by c?
8
What is the remainder when 101 is divided by -3 + (-6 + 12 - -32)?
31
Suppose 5*p - y - 780 = 599, 0 = -y - 4. Suppose -12*q + 1055 = p. Suppose f + 27 = -s + 84, 3*f - q = -s. Calculate the remainder when 154 is divided by s.
48
Suppose 4*f - 9 + 1 = 0. Suppose 3*n + 482 = 2*u + 8*n, f*n = -u + 241. Suppose 74 = 5*m - u. What is the remainder when m is