-3*u = -3. Calculate the remainder when k is divided by 20.
12
Suppose 2*q = -3*i + 143, 4*q - 9 = -29. Suppose 4*f - i = -t, -8*f + 10*f + 5*t - 21 = 0. Calculate the remainder when 282 is divided by f.
9
Suppose 14*r = -53*r - 201. Let s(k) = -5*k + 5. Let a be s(-6). What is the remainder when 174 is divided by a*(10/(-5) - r)?
34
Let o(b) = b**3 - 4*b**2 - 7*b + 5. Let c be o(5). Let i = -2 - c. Suppose 5*j - 29 = i*t + 1, 5*t + 10 = -5*j. Calculate the remainder when 3 is divided by j.
0
Suppose 0 = -3*s + 3*j + 81, -152*s + 2*j + 32 = -151*s. What is the remainder when (-545)/(-10)*2*1 is divided by s?
21
Let o = 51 - 15. Let i = 149 - 147. Suppose 3*c + i*h - o = -4, h - 65 = -5*c. What is the remainder when c is divided by 4?
2
Let j be (((-9)/18)/1)/(2/20). What is the remainder when (1*(j - 26))/((-1)/19) is divided by 74?
71
Let q(r) = 14*r**2 - 5*r - 1. Suppose -90 + 80 = 5*v, -4*s + 5*v = -1286. Calculate the remainder when s is divided by q(-2).
59
Suppose 2*k + 19 - 2 = f, 2*f = -5*k + 70. Let b be -15*(7 - (-126)/(-15)). Calculate the remainder when f is divided by (39/b - 1)/((-6)/(-63)).
7
Suppose 3*x + 15 = 0, -6*f - 5*x - 47 = -8*f. What is the remainder when -61*(-1 - 0/(-2)) is divided by f?
6
Let a be (-10)/(-8)*-50 - 2/(-4). Let n = a + 124. What is the remainder when 246 is divided by n?
60
Suppose a - c = 1188, 5*c = 3*a - 1775 - 1801. What is the remainder when a is divided by 5?
2
Let b(a) = a**2 - 825*a + 5739. Suppose 0*i - 4*i = -1552. Calculate the remainder when i is divided by b(7).
11
Suppose -3*s + 0*x = -2*x - 8, 2*s - 7 = x. Suppose j - 3 = 3*o, s*o = 2*o + 5*j - 15. Calculate the remainder when o + 296/3 + (-38)/57 is divided by 34.
30
Let g(y) = -y**3 + 5*y**2 + 2*y - 5. Let f = -19147 - -19215. Calculate the remainder when f is divided by g(4).
11
Let w = -196 - -199. Suppose -6*n + w*n + 93 = 0. Calculate the remainder when 86 is divided by n.
24
Let u be (-5 - -4)*-1 - -87. Suppose 0*d = 5*d, 3*d = 4*z - u. What is the remainder when 131 is divided by z?
21
Let n = 8 + -6. Suppose -3*g - 4*v = -98, -5*g - 2*v + 158 = n*v. Let z(l) = l**3 - 16*l**2 + 16*l + 41. What is the remainder when z(15) is divided by g?
26
Let w = -2840 + 2880. Calculate the remainder when 4597 is divided by w.
37
Let y(j) = j**3 - 6*j**2 - 274*j + 103. What is the remainder when y(20) is divided by 113?
110
Suppose 673 + 243 + 1292 = 46*i. Calculate the remainder when 189 is divided by i.
45
Suppose -4*h + 24 = -7*h. Let r be 1*-1*h/(4 - 2). Suppose r*t = -2*a + 18, a - 20 = -a - 2*t. Calculate the remainder when a is divided by 3.
2
Suppose 2*u + 10271*c = 10268*c + 7900, -2*u + c = -7916. Calculate the remainder when u is divided by 657.
14
Suppose 6*g = 2*f + g - 9, 2*f + 2*g = 2. Suppose -4*v + 124 = -f*i - 7*v, -4*i = 5*v + 250. Let a = -51 - i. What is the remainder when 25 is divided by a?
11
What is the remainder when 5771 is divided by (-4)/5 + (-40893)/(-1585)?
21
Suppose -208*q + 40 = -213*q. Calculate the remainder when (-4)/(q/182) + 4 is divided by 25.
20
Suppose 4*n + 58 = 5*j, 3*j = 3*n + 23 + 10. Suppose 18*w = 7*w + 7040. Suppose 12*s - w = 4*s. Calculate the remainder when s is divided by j.
10
Let f(c) = c**2 + 11*c - 21. Calculate the remainder when 147 is divided by f(8).
16
Suppose -17*n + 18*n - 4 = 0. Suppose p - 1360 = -n*p. What is the remainder when p is divided by 23?
19
Let u = 426 - 337. Calculate the remainder when u is divided by -3 - (5 + -33)/4.
1
Let w be (-4 - 1)*765/(-75). Let r = 69 - w. Calculate the remainder when r is divided by 5.
3
Let x be ((-10936)/(-26))/4 + 30/(-195). Suppose -4*a - 34 = -2*c - 6, 5*c - x = 3*a. Let t = 28 - 15. Calculate the remainder when c is divided by t.
11
Let f(t) = 6*t**2 + 60*t - 20. Suppose 0 = -11*l + 9*l + 46. Suppose 17 = 24*x - l*x. What is the remainder when f(-11) is divided by x?
12
Let a = 4309 + -4169. What is the remainder when 557 is divided by a?
137
Let i be 26/(-39) - ((-214)/6 + 0). Suppose 3*o + 4*o - i = 0. Suppose o*n - h = 42, 3*h - 8*h = -3*n + 12. What is the remainder when 27 is divided by n?
0
Let p = -378836 + 378865. Suppose 3*w - 497 = -2*x, 6*x - 4*x - 517 = w. Calculate the remainder when x is divided by p.
24
Let j(k) = 2*k**3 - 4*k**2 + 4. Let n be j(2). Suppose 351 = -n*p + 1047. What is the remainder when p is divided by 44?
42
Let d(w) = 2*w - 5. Suppose k - 3 + 7 = 2*j, 0 = -4*j - 4*k + 32. Suppose s + 2*s + j*t = 3, -s - 5*t = -1. What is the remainder when d(5) is divided by s?
0
Suppose 0 = 4*j - 9*j + 420. Suppose 5*k + j = -k. Let h(o) = -o**2 - 18*o - 29. What is the remainder when h(k) is divided by 10?
7
Suppose -5*q + k + 3234 = 0, -5*k + k - 1290 = -2*q. What is the remainder when q is divided by 14?
3
Let y = -87 - -186. Suppose y = 5*t - 4*t. Calculate the remainder when t is divided by -10*(0 + 3*(-15)/9).
49
Let t = -83 - -131. Let y be (-10)/12 + (-1)/6 - 31. Calculate the remainder when t is divided by 121/7 + (y/(-28))/(-4).
14
Let i(d) = -28 + 2*d + 3*d - d**3 + 16 - 6*d + d**2 + 7*d. Calculate the remainder when i(-5) is divided by 38.
32
Suppose 8*l - 3*l - 40 = 0. Let o(s) = s**3 - 7*s**2 - 30*s + 25. Suppose 12*y - 13*y = -10. Calculate the remainder when o(y) is divided by l.
1
Let t(j) = 52*j - 701. What is the remainder when t(23) is divided by 35?
5
Let f(d) = -d**2 + 3*d - 4. Let c be f(2). What is the remainder when (-221076)/(-483) - c/7 is divided by 46?
44
Let b(h) = 5*h**2 - 8. Let z(k) = 9*k**2 - 16. Let o(q) = -7*b(q) + 4*z(q). Let w be o(4). Calculate the remainder when 32 is divided by w/4*-2 - 4*-6.
12
Suppose 2*z - 672 = -2*f, 4*z - 662 = -2*f - 0*z. Suppose -210 = -3*g - 3*p, -5*p + f = 5*g - 3*p. Calculate the remainder when 205 is divided by g.
4
Calculate the remainder when (-566)/(-2) + -33 + 30 + (3 - 4) is divided by 137.
5
Let p = 20 - 14. Suppose 207 = 4*i + 3*x, -28*x + 36 = i - 25*x. What is the remainder when i is divided by p?
3
Let t(m) = -m**3 - 5*m**2 + 94*m - 58. Calculate the remainder when 424 is divided by t(-13).
64
Let p(b) = -132*b + 3666. What is the remainder when p(22) is divided by 187?
14
Suppose 102*u - 279 - 639 = 0. Let v(k) = 7*k**2 - 1. Let b be v(1). Suppose -u = -b*s + 27. What is the remainder when 53 is divided by s?
5
Suppose -4*g + 17*w - 21*w + 172 = 0, 2*w = 3*g - 159. Calculate the remainder when 180 is divided by g.
33
Suppose 134*l - 25 = 129*l. Let s(r) = 6*r - 18. Let a(k) = -6*k + 17. Let d(w) = l*s(w) + 4*a(w). What is the remainder when 95 is divided by d(5)?
7
Suppose 3 = 2*z - 7. Suppose 248 = z*r - 97. Suppose y + 3*y - 75 = -5*n, 0 = -4*y - 3*n + r. Calculate the remainder when 29 is divided by y.
14
Let l = -334 + 342. Let p be 12/36 - (-125)/3. Let m = p + -13. Calculate the remainder when m is divided by l.
5
Let o(i) = 2*i - 91 + 8*i + 40. Let r be o(19). Suppose -5*m + 141 = -r. Calculate the remainder when m is divided by 15.
11
Suppose -30*u = -11*u - 16416. Let p = u - 857. What is the remainder when 116 is divided by p?
4
Let w(j) be the third derivative of -j**4/12 - j**3/3 - 7*j**2. Let p be w(-5). Suppose p*k = 47 + 9. What is the remainder when 18 is divided by k?
4
Suppose 109772 = -s + 5*s - 4*n, 30 = 5*n. Calculate the remainder when s is divided by 90.
89
Suppose 972 = -110*d + 128*d. What is the remainder when 1179 is divided by d?
45
Let l(q) = -13*q - 39. What is the remainder when 830 is divided by l(-4)?
11
Calculate the remainder when 4/(-6) + (-80)/(-3) is divided by 6 + 175/(-63) - 520/2340.
2
Suppose 3*v + 499 - 496 = 0. What is the remainder when 103 is divided by -2*(v + -12*1)?
25
Let z = 12898 + -12711. What is the remainder when 4296 is divided by z?
182
Let h = -8 - -32. Suppose h - 39 = -5*j. Calculate the remainder when 78 is divided by (j - (-60)/(-8))*-6.
24
Let x(k) = 40*k + 6 + 9*k**2 + 42*k - 86*k + 0. What is the remainder when x(2) is divided by 13?
8
What is the remainder when 716 is divided by (2597/(-147) - -17)*(2 + (-722)/4)?
2
Let w = -1235 - -1257. What is the remainder when 94 is divided by w?
6
Let b(k) = k**2 - 6*k - 5. Let s be b(4). Let g(c) = -37*c + 74*c - 10 - 41*c. Calculate the remainder when g(s) is divided by 15.
12
Suppose 206 = 3*d + 4*k, -97 + 11 = -d + 3*k. Calcul