-4*f + 1751, 5*a = -2*f - 4. Calculate the remainder when f is divided by 1/3 + 22/6.
1
Suppose 1 = -u - o, 6 = 2*u - 2*o - 8. Let g = 274 - u. What is the remainder when g is divided by 21?
19
Let t(y) = y**3 + 11*y**2 - 37*y + 79. What is the remainder when t(-13) is divided by 51?
18
Suppose i + 21 = 48. Let r be (2/10 - 49/(-5)) + 1. Let n = r + i. Calculate the remainder when n is divided by 13.
12
Suppose 18 = -3*v + 153 - 9. What is the remainder when 4069 is divided by v?
37
Suppose -12*b + 3*b = -72. Let r = -119 + b. Let t = r + 125. Calculate the remainder when 78 is divided by t.
8
Let v(t) = 83*t**2 + 7*t - 13. Let l be v(-4). Suppose 0 = -25*b - l + 5637. What is the remainder when b is divided by 8?
6
Suppose 2182 = 73*t + 14*t - 2603. Calculate the remainder when t is divided by 22.
11
Suppose -a + 0*d = -4*d - 39, -258 = -5*a - d. Let m(w) = -w**3 + 13*w**2 - 42*w + 157. What is the remainder when a is divided by m(10)?
14
Let i(l) = -484*l - 2196. Calculate the remainder when 373 is divided by i(-5).
149
Suppose -5*f + 35 = 5*p, 5*p + 7*f - 29 = 5*f. Calculate the remainder when 336 is divided by p.
1
Suppose 29*x - 3 = -3*m + 26*x, 3*x - 5 = -m. What is the remainder when 32/(-40)*15*8*m is divided by 19?
1
Suppose 6*l - 84 = -10*y + 8*y, -5*y + 227 = -2*l. What is the remainder when 350 is divided by y?
35
Let g be 5/3 - 7/(-21). Let b(j) = 4*j**g + 10*j + j**2 + 13 + 0. What is the remainder when 52 is divided by b(-3)?
24
Let t(x) = -x**3 + 18*x**2 - 72*x - 9. Calculate the remainder when t(10) is divided by 34.
3
Let s = -47 - -50. Let j(x) = 10*x - 15. Let z be j(s). Let i = z + 3. Calculate the remainder when i is divided by 10.
8
Let u = -138 - -2196. What is the remainder when u/18 + 1 - (-2)/(-6) is divided by 39?
37
Let b(x) be the first derivative of -x**3/3 + 8*x**2 + 30*x + 2. Suppose -2*w = -24 - 8. Calculate the remainder when b(16) is divided by w.
14
Let i(x) = x**3 - 12*x**2 + 24*x - 4. Let z be i(10). Let n = 32 - 28. Suppose z = 8*a - n*a. What is the remainder when 17 is divided by a?
8
Let m(u) = -8*u**2 + 15*u + 24. Let g(s) = -13*s**2 + 31*s + 48. Let p(w) = 3*g(w) - 5*m(w). What is the remainder when 645 is divided by p(-18)?
21
Suppose 0 = 3*l - 262 - 20. Suppose 0 = -3*g - 2*s + 90, g + 0*g + 4*s = 20. What is the remainder when l is divided by g?
30
Let h(y) = 13*y**3 + 28*y**2 - 2*y + 3. Let g = 143 - 100. Calculate the remainder when g is divided by h(-2).
13
Suppose 5*z + 4*p + 34 = 0, 6*p - 21 = 4*z + 3*p. What is the remainder when 43 is divided by 2 + (9/z*-2 - -18)?
20
Suppose -2625 = -175*g + 70*g. Calculate the remainder when 948 is divided by g.
23
Let q(s) = 11 + 9 + 2 - s + 10. Let j(d) = 2*d - 31. Let f(i) = 3*j(i) + 4*q(i). What is the remainder when f(0) is divided by 12?
11
Let s = -339 + 360. Let f(p) = -p**3 + 21*p**2 - p + 62. What is the remainder when 172 is divided by f(s)?
8
Let s(r) = -4*r**2 - 47*r + 37. What is the remainder when 176 is divided by s(-10)?
69
Let t(b) = -144*b + 2073. What is the remainder when t(10) is divided by 79?
1
Let j = 120 + -86. Let b = -10688 + 10889. Calculate the remainder when b is divided by j.
31
Let k(z) = 6*z**3 - 30*z**2 + 13*z - 19. What is the remainder when 70 is divided by k(5)?
24
Let l = 1076 + -596. Suppose l + 81 = 11*s. What is the remainder when 95 is divided by s?
44
Suppose -204 = -2*o - o. Suppose -8*i + 99 = -3*i - 4*d, 41 = 2*i - 3*d. Let w(z) = -z**2 + 15*z + 90. Calculate the remainder when o is divided by w(i).
12
Let s(r) = -5*r**3 + 15*r**2 - 10*r + 7. Calculate the remainder when 54 is divided by s(2).
5
Suppose -41*b + 63257 = 15205. What is the remainder when b is divided by 193?
14
Let u = 217 - 155. Let o be (7 + -10)/(6*(-1)/u). Let t = o + -14. Calculate the remainder when 67 is divided by t.
16
Suppose 0*d = 4*m - 2*d - 35478, -2*m + 17741 = -3*d. Calculate the remainder when m/724 - (-1 - (-2)/8) is divided by 3.
1
Let m(c) = 2*c + 4. Let t = -16 - -18. Suppose y + 132 = 7*y. Calculate the remainder when y is divided by m(t).
6
Suppose -3*o + 0*o = 3*p - 36, 4*p = 2*o - 18. Let w = -622 - -636. What is the remainder when w is divided by o?
3
Suppose 52*o = 12646 + 15278. Calculate the remainder when o is divided by 201.
135
Suppose 3*a - 2*a - 21 = 0. Let y(m) = -m**3 + 23*m**2 - 40*m - 21. Let b be y(a). Suppose 19*u = b*u - 74. Calculate the remainder when u is divided by 12.
1
Let s(a) = 10720*a**3 - 2*a - 1. Let x be s(-1). What is the remainder when x/(-90) + -1 + (-27)/(-30) is divided by 24?
23
Suppose 40*s - 55 = 2625. Let k = s - -20. Calculate the remainder when k is divided by 1*(-1 + 0)*-23.
18
Let o = 9449 - 9385. Calculate the remainder when 231 is divided by o.
39
Suppose -2*v + 5*v + 5*x = 323, -x = -5*v + 501. Suppose -2816 = 4*u - 12*u + 4*u. What is the remainder when u is divided by v?
98
Calculate the remainder when (-248)/2*((-90)/24 + 3) is divided by 8.
5
Let r(y) = y**2 - 75*y + 383. Calculate the remainder when 102 is divided by r(5).
3
Let z(v) = -47*v + 1028. What is the remainder when 6*1/6*93 is divided by z(21)?
11
Suppose -8*w + 4*w = t - 15, -3 = -4*t + 3*w. Suppose -3*u - 9 = 0, -b + t*b - 39 = -u. What is the remainder when b is divided by (4 - 3) + (1 - -6)?
5
Let y(v) = 4*v - 2. Let m = -358116 + 358149. Calculate the remainder when m is divided by y(2).
3
Calculate the remainder when ((1 - (-90)/(-99)) + 10/11)*2063 is divided by 61.
50
Let h(f) = -f**3 + 14*f**2 - 8*f - 57. Let o be h(13). Let k(d) = -o*d - 35 + 8*d - 10*d. What is the remainder when 132 is divided by k(-8)?
42
Suppose -29*s + 1372 = 966. Calculate the remainder when 433 is divided by s.
13
Let i(l) = 3*l**2 + 4*l + 3. Let y be ((-28)/49)/((-4)/(-14)). Let a be i(y). Suppose -a*d + 83 + 15 = 0. Calculate the remainder when 41 is divided by d.
13
Let a(y) = 2*y**2 - 10*y + 12. Let u = 442 + 214. Suppose -16*q = -u - 48. What is the remainder when q is divided by a(6)?
20
Let k(x) = 2*x**3 + 66*x**2 - 9*x - 114. What is the remainder when 539 is divided by k(-33)?
173
Let f = -128 + 154. Calculate the remainder when 102 is divided by f.
24
Let z(s) = s**3 - 26*s**2 + 50*s + 94. Let m be z(25). Let p = m + -699. What is the remainder when 67 is divided by p?
7
Let f(l) = -7*l**3 + 3*l**2 - 5*l + 7. Let v be f(3). Let a = v + 172. Let s = 17 + -9. Calculate the remainder when s is divided by a.
0
Suppose -94*k + 4482 = 252. What is the remainder when 577 is divided by k?
37
Let d(o) = o**2 - 12*o + 59. Suppose 0 = 4*k + 3*n - 42, 3*k - 7*k - 2*n + 44 = 0. What is the remainder when 117 is divided by d(k)?
58
What is the remainder when 207 is divided by (5415/475)/((-6)/(-20))?
17
Let b = -287 + 288. Let c = 128 + -84. What is the remainder when c is divided by (0 + 0)/(-9) + b + 22?
21
Let r = 2835 + -2410. What is the remainder when r is divided by 209?
7
Let a = -11 - -5. Let y(b) = b**2 + 6*b + 1. What is the remainder when y(a) is divided by ((-1)/3)/(5/5)*-3?
0
Suppose -5*v - 80 = -450. Suppose 2*o - 4*j + v = -18, 3*o + 182 = -5*j. Let c = -27 - o. What is the remainder when 105 is divided by c?
24
Let x = -105 - -369. Calculate the remainder when 120 is divided by ((-27)/(-36))/(6/x).
21
Let z = -2268 - -2689. Calculate the remainder when z is divided by 66.
25
Let f = 26 - -62. Suppose -v + 10 = -l - 12, 4*v - 5*l - f = 0. Suppose 4*w - 10 = 3*o, -2 = -2*w + 3*w - 3*o. What is the remainder when v is divided by w?
2
Let z(h) = 2*h**2 - h + 10. Let o(r) = 5*r**2 - 2*r + 28. Let w(v) = 4*o(v) - 11*z(v). What is the remainder when 64 is divided by w(1)?
1
Let o(q) = q**3 - 6*q**2 + 2*q - 8. Let r(v) = -7*v**3 - v**2 - 3*v - 2. Let j = -59 - -58. What is the remainder when r(j) is divided by o(6)?
3
Let j(k) = -5*k - 92. Suppose 2*l - 5*x + 26 = 0, 24 = -l - 3*x - 11. What is the remainder when 64 is divided by j(l)?
18
Suppose -7*b + 2*b + 115 = 4*l, -l - 4*b = -15. Calculate the remainder when l is divided by ((-12)/8)/((7267/728 + -10)*6).
7
Let h(b) = b**3 + 3*b**2 - 4*b - 1. Let j(n) = -15*n**2 - 370*n - 166. Calculate the remainder when j(-24) is divided by h(-3).
8
Calculate the remainder when 395 is divided by (120/660 - 2/22*-9)*127.
14
Let h = 295 - 292. Let b(g) = g**2 + 2*g - 2. Let r be