Suppose -b - 18 = -4*f + 22, 5*f = -2*b + 63. Suppose 0 = -m + 18*r - 17*r + f, 2*m - 25 = 3*r. Calculate the remainder when 8 is divided by m.
0
Suppose -2551 = -4*s - 1687. What is the remainder when s is divided by 94?
28
Let g(o) be the third derivative of o**5/30 + o**4/8 - o**3/3 + 6*o**2. What is the remainder when 53 is divided by g(-4)?
17
Let s = -1384 - -1477. What is the remainder when 298 is divided by s?
19
Suppose 131 + 95 = s. Calculate the remainder when s is divided by 44.
6
Suppose 0 = 3*g + 6*u - 480, -8*g = -9*g + u + 157. Suppose -6*f + f = 2*o - 133, -f + 24 = 3*o. Calculate the remainder when g is divided by f.
23
Let u = 27 + -8. Let j(r) be the first derivative of 43*r**2/2 - 3*r - 1. Calculate the remainder when j(4) is divided by u.
17
Let r(f) = -3*f**3 + 10*f**2 + 12*f + 27. What is the remainder when r(-6) is divided by 28?
11
Let j = 63 + -63. Suppose j = -q - 0*q + 4. Suppose q*x + 12*x = 784. Calculate the remainder when x is divided by 9.
4
Suppose -t - 71*l + 134 = -67*l, 3*l = -4*t + 536. Calculate the remainder when t is divided by 80.
54
Let s = 1754 + -685. Calculate the remainder when s is divided by 16.
13
Let c = -7199 - -7558. Calculate the remainder when c is divided by 57.
17
Let q be (-705)/(-60)*(-2 - 2). Let y(r) = r + 29. Calculate the remainder when y(0) is divided by (-182)/(-18) + q/423.
9
Suppose 2*w - 291 = -2*c - 241, 8*c - 4*w - 128 = 0. Calculate the remainder when 4502 is divided by c.
18
Let c(h) = 10*h**2 + 5*h + 4. Let l(i) = -3 - 16*i - 16*i + 15*i + 2. Calculate the remainder when l(-8) is divided by c(-2).
33
Let p = 11341 - 555. What is the remainder when p is divided by 186?
184
Suppose 0 = -5*b - 2*r + 52, 53 = 12*b - 7*b + 3*r. Suppose 0 = -5*g + b*g - 395. Calculate the remainder when g is divided by 14.
9
Let b(p) = -44*p - 48. Suppose 47*y - 5379 = 14*y. What is the remainder when y is divided by b(-3)?
79
Suppose -149*a = -148*a - p - 50, -5*a + 4*p = -244. What is the remainder when 656 is divided by a?
40
Suppose 28 = 3*x + 2*j, 14 - 22 = x + 5*j. Let g = -89 + 127. What is the remainder when g is divided by x?
2
Let p = 70 + -50. Let j be (20/(-30))/(118/(-408) - (-7)/28). Suppose j*d + p = 19*d. Calculate the remainder when d is divided by 4.
2
Suppose 220 - 341 = -11*w. Suppose w*i + 21*i - 3520 = 0. What is the remainder when i is divided by 9?
2
Suppose -174 - 356 = -11*r - 222. Calculate the remainder when 303 is divided by r.
23
Let a = 27 - 25. Suppose a*d - 4*r = 16, 4*d + r - 40 = 28. Calculate the remainder when (-58)/(-8)*(2 - -2) is divided by d.
13
Let n(f) = -54*f**2 + f**3 + 60*f**2 - 391*f + 390*f + 38. What is the remainder when n(-5) is divided by 4?
0
Suppose -1345 = -24*x + 3815. Suppose 14*s - x = -5. Calculate the remainder when 254 is divided by s.
14
Calculate the remainder when ((-266)/(-1729))/(2/8359) is divided by 115.
68
What is the remainder when (3/(-6))/((-5)/3385) - 15/(-30) is divided by 23?
17
Suppose 3*b - 12 = 0, -278*f + 283*f - 4*b = 109. What is the remainder when f is divided by 1?
0
Let g(i) = -i**3 - 27*i**2 - 159*i + 113. Calculate the remainder when 29792 is divided by g(-18).
56
Suppose 5*h - 3*f - 1098 + 1046 = 0, 0 = -2*h + 2*f + 24. Calculate the remainder when 601 is divided by h.
1
Suppose 27 = -4*t - 25. Let h(o) = o**2 + 11*o + 6. Calculate the remainder when h(t) is divided by 12.
8
Let i = 422 - 414. Calculate the remainder when 115 is divided by -13*(-6)/24*i.
11
Suppose 4*o = 2*o + 2*z + 12, 0 = -2*z - 6. Suppose -u - 5*x - 4645 = -6*u, 1 = -x. Suppose -23*n = 9*n - u. What is the remainder when n is divided by o?
2
Let k(o) = 10*o + 4. Suppose 185*u - 2615 + 1000 - 7773 = 10592. What is the remainder when u is divided by k(3)?
6
Let j(f) = 2*f - 5. Let q be j(47). Let i = q - -5. Let l = 36 + -12. What is the remainder when i is divided by l?
22
Let g(m) = 3*m - 20. Suppose -1320 = 52*t - 44*t. Let n = -86 - t. Calculate the remainder when n is divided by g(14).
13
Suppose -3*h + 207 = -5*j, -h + 83 = -0*h + 3*j. Suppose 14*u + 6194 = 177*u. What is the remainder when h is divided by u?
36
Calculate the remainder when (-10)/(-15)*9 - (-746 + 5) is divided by (-8)/((-48)/222) - -7.
43
Let g(v) = -v**3 - 18*v**2 - 57*v + 12. What is the remainder when 654 is divided by g(-14)?
4
Let t(g) = 113*g**2 + g + 2. Let x = 4 + -5. Let n be t(x). Suppose 3*l = -6, -4*b + 10 + n = -2*l. Calculate the remainder when b is divided by 17.
13
Suppose 6*p = 3*p - 9. Calculate the remainder when (-1 - 0)/((-5)/(-375)*p) is divided by 75/10*(-8)/(-6).
5
Let f(x) = -20*x - 79. Let w(i) = -22*i - 80. Let o(l) = -7*f(l) + 6*w(l). Calculate the remainder when o(6) is divided by 34.
19
Let h = 4397 + -4210. Calculate the remainder when h is divided by 18.
7
Let q(t) = -3*t**2 - 2*t + 149. What is the remainder when 905 is divided by q(0)?
11
Suppose 4*z - 5*x = -132, -3*x + 0*x = 4*z + 100. Let o(r) = -r**3 - 29*r**2 - 30*r - 24. What is the remainder when o(z) is divided by 8?
0
Suppose 1963 = -6*a - 437. Let y = a - -665. Calculate the remainder when y is divided by 30.
25
Suppose 0 = 5*o + 2*t - 563, -6*t + 799 = 7*o - 5*t. Calculate the remainder when 534 is divided by o.
74
Suppose 41*p + 330 = 813 + 2346. Calculate the remainder when 116 is divided by p.
47
Suppose 0 = 13*j - 16*j. Suppose j = -q - 3*x - 1, -5*q + 24 = 2*x - 23. Calculate the remainder when 64 is divided by q.
9
Let u = -8085 - -8277. What is the remainder when u is divided by 4?
0
Let g be 47 + 5/(-10)*-1*-2. What is the remainder when 552 is divided by ((-6)/5)/(-1 + g/50)?
12
Suppose 2*w - 880 = w. Suppose 5*n + h = w, 6*h - h = -2*n + 375. Let g = n + -22. Calculate the remainder when g is divided by 39.
36
Suppose 4*m = -4*f + 2972, 2*m + m - 6 = 0. Calculate the remainder when f is divided by 62.
59
Suppose -3*f = f - 348. Let o = -113328 - -113349. Calculate the remainder when (f/(-2))/((-3)/4) is divided by o.
16
Let j = 54 - 13. Let n(r) = -r**3 + 3*r**2 + 7*r - 8. Let b be n(-4). Let z = -61 + b. What is the remainder when j is divided by z?
11
Let c(g) = g**2 - 29*g + 37. Let l(h) = -h**2 + 58*h - 74. Let k(p) = 5*c(p) + 3*l(p). What is the remainder when 280 is divided by k(-17)?
40
Suppose 20*s + 1340 = -0*s. Let x = s - -77. Calculate the remainder when 11 is divided by x.
1
Let l = 1082 + -815. What is the remainder when l is divided by 22?
3
Suppose 0 = -4*a + 2*m - 912, -4*a = 12*m - 13*m + 914. Let o = 256 + a. Let d(j) = 2*j**2 + 2*j - 2. What is the remainder when o is divided by d(2)?
7
Let z = -172 - -183. Suppose -z*i = -i - 290. What is the remainder when 200 is divided by i?
26
Let d be (-11)/(-3) - 52/78. Suppose -41 = -4*q - 0*q + d*i, 36 = 3*q + 3*i. Suppose 7 = g + 2. Calculate the remainder when q is divided by g.
1
Let m(g) = 42*g**2 + 282*g + 2574. What is the remainder when m(-9) is divided by 40?
38
Suppose 187*v - 215 = 182*v. Suppose -5*w - 205 = 2*r - 3*r, -w + 4*r = 22. Let a = w + v. Calculate the remainder when 3 is divided by a.
0
Let i(s) = s - 14. Let j be i(18). Suppose 3*a = 4*o + 87, 4*a - 109 = j*o - o. Suppose 8*l - 56 + 8 = 0. What is the remainder when a is divided by l?
1
Suppose 0 = g - 19 - 22. Let j(k) = -k**3 + 11*k**2 - 16*k - 11. Let b be 49/4 - 2/8 - 3. What is the remainder when g is divided by j(b)?
6
Let h = -336 + 508. Suppose 692*i = 5*w + 689*i - 180, 2*i - 144 = -4*w. What is the remainder when h is divided by w?
28
Calculate the remainder when (-1 + 2)/((-2)/(-110)) is divided by ((-54)/24)/((-9)/120).
25
Let t = -22 - -26. Let p(b) = -b**2 - 12*b - 24. Let d be p(-9). Calculate the remainder when 25 is divided by -1*-8*(t - d).
1
Let s = -26689 - -27044. Calculate the remainder when 1763 is divided by s.
343
Suppose -2*k + 4*t = -k - 16, 5*t = 10. Let d(o) = -13*o**3 + 4*o - 3. Let w be d(1). Let c = k + w. Calculate the remainder when 21 is divided by c.
9
Let h(z) = -2*z**2 - 7*z + 77. What is the remainder when 169 is divided by h(-6)?
28
Suppose 2*x + 2*w = -4, 0 = -5*x - 2*w - 15 - 7. Let k be 24/x*(-6)/(-8). What is the remainder when 3*(-17)/k*(-1 + 2) is divided by 6?
5
Suppose 51962 - 2307 = 70*k - 4595. What is the remainder when k is divided by 16?
7
Let z = 433 + -350. Calculate th