Let v be -2*((-27)/9 - 1*-2). Suppose -v*x + 11*x = 720. Calculate the remainder when 155 is divided by x.
75
Let b be 6 + 12*-1 + 8. Suppose 4*l - 576 = -4*r, 3*r - 738 = -b*l - 301. Calculate the remainder when r is divided by 30.
29
Suppose -4*h + 4 = -t, 16*h - 18*h = -5*t + 70. Let w be (3/(-2))/((-3)/8). Suppose -20 - 480 = -w*z. What is the remainder when z is divided by t?
13
Let i be 53*3/(15/(-5)). Let o = -25 - i. What is the remainder when (-144)/(-14) + (-8)/o is divided by 2?
0
Let r(b) be the first derivative of -3*b**2/2 + 41*b - 82. Let p(h) = -h**3 - 4*h**2 + 8*h + 7. Calculate the remainder when p(-6) is divided by r(10).
9
Calculate the remainder when 379 is divided by 3/24 + 2070/80.
15
Suppose -4*p - 111 - 4 = -u, -5*p = 2*u + 134. Let c = 106 - 61. What is the remainder when c is divided by ((-4)/6)/(p/966)?
22
Let w(x) = 73*x**2 - 7*x - 5. Let s be w(-1). Let c = -420 + 619. What is the remainder when c is divided by s/2 + (180/(-8))/(-9)?
39
Suppose 0 = -5*w + 5, 0 = -0*c - 4*c + w + 243. Let f = -21150 + 21315. What is the remainder when f is divided by c?
43
Suppose 259*a - 582*a = -293*a - 1890. What is the remainder when 1445 is divided by a?
59
Suppose 31*i = 26*i, n = -3*i. Suppose n = -54*j + 48*j + 648. Calculate the remainder when j is divided by 22.
20
Let c(g) = 1443*g + 164. Calculate the remainder when c(4) is divided by 5.
1
Suppose 73*g + 21 = 3*m + 70*g, 0 = -3*m - 4*g + 56. Calculate the remainder when m is divided by 1/((28/40)/7).
2
Suppose 0 = -i - 17 + 52. Let m = 38686 + -38709. Let y = i + m. Calculate the remainder when 46 is divided by y.
10
Suppose 5*n - 674 = -2*g + 308, -g = 4. What is the remainder when 1207 is divided by n?
19
Suppose u + 7 = -4*n + 16, 2*n = -4*u - 6. Let k(h) = h**3 - 8*h + 6. Calculate the remainder when k(6) is divided by (-3996)/(-90) + n/((-45)/6).
42
Suppose 3*t = 256 - 37. Suppose -2*g + 25 = 5*o - g, 4*g = 20. Suppose 0 = l - o - 15. What is the remainder when t is divided by l?
16
Suppose -43646*b + 43641*b + 1828 = -1152. Calculate the remainder when b is divided by 82.
22
Let q = -475 + 387. Let k = 98 + q. Suppose a + 3*a - 148 = 0. Calculate the remainder when a is divided by k.
7
Let j(v) = 4*v**3 - 26*v**2 + 8*v - 72. What is the remainder when 4/10 - (-9756)/60 is divided by j(7)?
81
Let t be ((-9)/9)/((-1)/5). Suppose t = w, -4*n - 3*w - 2*w + 1949 = 0. Calculate the remainder when n is divided by 69.
67
Calculate the remainder when 298 is divided by 186/(42/(-14) + 6).
50
Let y = 1924 + -1846. What is the remainder when 301 is divided by y?
67
Let i = -2 + 3. Suppose 0 = -87*w + 3397 + 2345. Suppose 100*a = 111*a - w. Calculate the remainder when a is divided by i.
0
Let t(k) = -34*k**2 + k + 49. Let i be t(6). Let g = -678 - i. What is the remainder when g is divided by 38?
35
Let m = 879213 + -879210. Let l = -30 - -120. Suppose 3*z + 3 = l. Calculate the remainder when z is divided by m.
2
Let n = -226 - -287. Let b = -11 + 16. Suppose n = b*y - 59. What is the remainder when 67 is divided by y?
19
Suppose 46*o + 66159 = 82*o + 18675. What is the remainder when o is divided by 49?
45
Let g(p) = -5*p**2 - 46*p - 99. Suppose 0 = -5*a + 41 + 59. What is the remainder when a is divided by g(-4)?
0
Suppose -1098 = -3*t + 221*r - 222*r, -4*t + 5*r + 1445 = 0. What is the remainder when t is divided by 125?
115
Let r = 52531 - 52343. Let g = 114 + -59. Calculate the remainder when r is divided by g.
23
Let f = -3209 + 3222. What is the remainder when 13 is divided by f?
0
Let w(z) = -356*z + 136. What is the remainder when w(-1) is divided by 128?
108
Let q = 680 + -570. Calculate the remainder when 2638 is divided by q.
108
Let z(y) = 7*y - 35. Let t be z(5). Suppose t = 18*u - 21*u + 315. What is the remainder when u is divided by 57?
48
Let a = 56 - 28. Suppose 7*v + 4*b - 105 = 0, 0 = -3*v - 18*b + 13*b + 45. Calculate the remainder when a is divided by v.
13
Let w = -18 - -27. Suppose 3*y + 5*u = 8*u + 21, 0 = -3*y - u + 25. What is the remainder when 10/3*(-18)/(-30)*y is divided by w?
7
Let w(q) = 9*q**2 - 5*q - 1. Let t be w(3). Suppose 10*m - 45 = t. What is the remainder when 20/110 + -1 + 3001/m is divided by 55?
52
Let q = -7 - -32. Suppose 23*z + 16 = q*z. What is the remainder when 94 is divided by z?
6
Let b = 51249 - 51198. Suppose 4*z = -0*z + 672. Calculate the remainder when z is divided by b.
15
Suppose 3*q = 2*j - 28, 4*j - 23*q - 84 = -24*q. Calculate the remainder when 57 is divided by j.
17
Suppose 226 - 128 = 7*o. Calculate the remainder when 139 is divided by o.
13
Let t(j) = j**3 - 5*j**2 + 2*j + 3. Let y = -22 + 25. Let x be t(y). What is the remainder when 45 is divided by 18/2 + 12 + x?
9
Suppose -33 = -f - 7. Let v = -1451 - -1465. Calculate the remainder when f is divided by v.
12
Let x(c) = -2*c**3 - 13*c**2 + 4*c + 4. Suppose 8*o - 9 = 7. Calculate the remainder when x(-7) is divided by o.
1
Let z(n) = 3*n + 33. Let w be z(30). Suppose w + 318 = 9*t. What is the remainder when t is divided by 13?
10
Suppose -21*u - 90 = -5256. Let z = -542 - -968. Suppose 0 = -8*t + z + u. What is the remainder when t is divided by 22?
18
Let h = 38 + -25. Let x be 63/(-9) + (-26)/(-4)*2. Suppose x*n - 1868 + 1502 = 0. Calculate the remainder when n is divided by h.
9
Suppose -t = -5*h + 130, h - 10 - 250 = 2*t. Suppose -23*r + 47*r - 2946 = 1374. Calculate the remainder when r is divided by (t/(-15))/((-2)/(-6)).
24
Let c(g) = 2*g - 6. Let v be c(9). Suppose v = 5*s - 28. Let z = 10 + s. What is the remainder when z is divided by 12?
6
Suppose 4*y = 3*z - 2912, 2*y - 3920 = -4*z - 2*y. What is the remainder when z is divided by 123?
115
Let l = -16709 + 18433. What is the remainder when l is divided by 247?
242
Suppose -21*d + 32 = -241. Calculate the remainder when 102 is divided by d.
11
Let c(j) = -9*j + 4. Let u(g) = 4*g - 2. Let i(b) = -2*c(b) - 5*u(b). Suppose 3*p = -4*p + 147. What is the remainder when p is divided by i(-5)?
9
Suppose -551*m = -552*m + 880. Suppose 6*d + 826 = m. Calculate the remainder when 76 is divided by d.
4
Let w(z) = -z**3 + 2*z**2 - 3*z + 121. What is the remainder when w(0) is divided by 107?
14
Suppose -2*p = -4*x + 4412, -16*x - 5515 = -21*x + 4*p. Calculate the remainder when x is divided by 360.
23
Let n = 194 - 132. Calculate the remainder when 181 + 14 + (-112)/7 is divided by n.
55
Let r(k) = 236*k**2 + 67*k + 67. Let a = 148 - 99. Calculate the remainder when r(-1) is divided by a.
40
Suppose -1232 = -469*x + 458*x. Calculate the remainder when 1564 is divided by x.
108
Let v(n) be the first derivative of 2*n**3/3 + n**2/2 - 3*n - 19. Suppose 0*g + 9 = -3*g. Calculate the remainder when 45 is divided by v(g).
9
Suppose 14 = 4*i - 2*t + 6, 4*t - 4 = -2*i. Let s be i/(((-6)/735)/((-2)/(-10))). Let o = s + 62. What is the remainder when 23 is divided by o?
10
Suppose h = 2*c + 30, 20*h - c = 19*h + 35. What is the remainder when 1030 is divided by h?
30
Let f = 150 + -138. Suppose -f - 18 = -5*w. Calculate the remainder when 27 is divided by w.
3
Suppose 5*n - 28 = -3*w, 110*w - 114*w = 4*n - 32. What is the remainder when 552 is divided by w?
0
Let x(z) = z**2 - 8*z - 23. Calculate the remainder when x(-7) is divided by (-6)/3*-11 - 0.
16
Let n be 0/(-7) + 2 + -19. Let u(b) = -6*b**2 - 107*b + 24. Calculate the remainder when u(n) is divided by 56.
53
Suppose 6*b = 10*b - 112. Suppose -b = -c - 27. Suppose -8*u - 28 + 84 = 0. What is the remainder when u is divided by c?
0
Let b(d) = 2*d**3 + 169*d**2 - 262*d - 71. What is the remainder when b(-86) is divided by 1?
0
Let l(i) = 233*i - 12. Let t be l(1). Suppose -5*q - t = -18*q. What is the remainder when 20 is divided by q?
3
Let o(v) = v**3 - 24*v**2 + 98*v - 31. What is the remainder when 4131 is divided by o(19)?
23
Calculate the remainder when 312 is divided by 5/(25/720)*(-21)/(-12).
60
What is the remainder when 4/(-10) - 380/400*-52 is divided by 25?
24
Let a = -19842 - -22883. Calculate the remainder when a is divided by 7.
3
Suppose 168 = -9*f + 10*f - s, -2*f - 5*s = -343. What is the remainder when 473 is divided by f?
135
What is the remainder when 3499 is divided by (940/(-16))/((-50)/80) + 1 + -5?
79
Let t = -1381 - -1601. Suppose