0, -2*c = -4*m. Suppose -c*w = -5 - 57. Calculate the remainder when w is divided by (1 + 7)/(2/3).
7
Let r = 1 - 2. Let f(y) = -11688 + 23378 + 61*y**2 - 11691 - y. What is the remainder when f(r) is divided by 7?
5
Let t(h) = 5*h - 2. Suppose 3*u + 5*p = 47, -660*u + 657*u - 4*p = -43. What is the remainder when t(3) is divided by u?
4
Let m(u) = 17*u + 243. Let g be m(-14). Suppose 0 = -5*i - 3*q + 220 + 270, q = g. What is the remainder when i is divided by 10?
5
Let x(y) = -5*y**2 + 2*y - 6. Let o(u) = 4*u**2 - 3*u + 6. Let w(q) = -6*o(q) - 5*x(q). What is the remainder when 500/4*5/5 is divided by w(-12)?
41
Let p(l) = -86*l**3 - 6*l**2 - 4*l + 2. What is the remainder when p(-1) is divided by 70?
16
Suppose -u + 11*u = 130. Suppose u*g - 8 - 278 = 0. What is the remainder when 261 is divided by g?
19
Suppose -3*m - 17563 = -5*o, -10*o + 11*o = m + 3513. What is the remainder when o is divided by 7?
5
Let u = 56 + -52. Suppose -5*g + 53 = -3*c - c, -u*g + 55 = c. Calculate the remainder when g is divided by 10/3 - 38/(-57).
1
Let t(y) = 2*y - 10. Let j be t(5). Let w(c) = -2*c + 36. Suppose -4*v - 5*x + 445 = -0*x, -320 = -3*v - x. Calculate the remainder when v is divided by w(j).
33
Suppose 0 = 2*h - 3*w - 223 - 79, 0 = -5*w - 20. Calculate the remainder when 432 is divided by h.
142
Suppose -3*u - 5178 = -5*x + 4872, 0 = 2*x + 5*u - 4051. What is the remainder when x is divided by 106?
105
Let m be 82/3 + (-4)/12. Suppose 0 = 5*p + 4*r - 14, -10*p + 6*p = r - 20. What is the remainder when p is divided by (4/(-3))/((-6)/m)?
0
Let u = -18 + 30. Suppose -33 = -211*d + 200*d. Calculate the remainder when 2*(621/18)/d is divided by u.
11
What is the remainder when -1*((-16478)/(-44) - -19)/((-1)/2) is divided by 238?
73
Suppose 22133 - 67817 = -188*g. What is the remainder when g is divided by 215?
28
Suppose -35*p + 5*c = -40*p + 5500, -4376 = -4*p + 4*c. What is the remainder when p is divided by 363?
8
Suppose -19*r = -60*r + 55970 - 8328. What is the remainder when r is divided by 575?
12
Let c(k) = -1137*k + 39. Let b(p) = -3410*p + 121. Let m(z) = 2*b(z) - 7*c(z). What is the remainder when m(1) is divided by 74?
72
Let i = -72 + 108. Let o(u) = 67*u**2 - 27*u - 1. What is the remainder when o(-2) is divided by i?
33
Suppose 7*z - 1661 - 794 = 1934. Calculate the remainder when z is divided by 10.
7
Let b = 29699 + -28382. Calculate the remainder when b is divided by 34.
25
Suppose -510857 + 135441 = -191*o - 90*o. What is the remainder when o is divided by 27?
13
Suppose 4*o + 1818 = -5*t, -t - 93 = 5*o + 279. Let v = t + 384. Calculate the remainder when 216 is divided by v.
18
What is the remainder when (-4207)/(-9) + 8*7/(-126) is divided by 81?
62
Let h(r) = -2*r**3 + 25*r**2 - 12*r - 6. Let i be h(12). What is the remainder when 5 - (-34 + -3 + i) is divided by 9 + 7/((-28)/8)?
6
Calculate the remainder when (608/(-5))/(290/(-10875)) is divided by 169.
166
Calculate the remainder when 3136 is divided by (-27)/(1296/(-32))*525/10.
21
Suppose -22*z + 541 = -1263. Suppose -3*p - 3*u + 288 = 0, -5*u = p - 6*p + 450. Suppose -5*a = -p - 117. What is the remainder when z is divided by a?
40
Let w be (-115)/(-5) + 2 + -6. Suppose 0 = w*j - 1724 + 299. Calculate the remainder when j is divided by 37.
1
Suppose -6 = 5*v - 5*y - 31, 4*v - 24 = 5*y. What is the remainder when 65 is divided by (66/8)/(v + (-30)/48)?
21
Let a = 182312 + -182301. Suppose 2*f + 2 + 2 = 0. What is the remainder when a is divided by f + 3 + 1 - -1?
2
Suppose 1428 = -14*h + 1470. What is the remainder when 77 is divided by h?
2
Let a(o) = 26*o + 63. Let y(b) = -b**2 - 22*b - 32. Calculate the remainder when y(-17) is divided by a(-2).
9
Suppose 2710 = 16*n - 9050. Let a = n + -521. Calculate the remainder when a is divided by (0 + 1 + 0)*43.
42
Let q be (2 + (-9)/12)/((-5)/20). Let a(j) = -17*j + 10. Calculate the remainder when a(q) is divided by 24.
23
Suppose 3*w + u = 4003, 0 = 4*w - 19*u + 23*u - 5324. Calculate the remainder when w is divided by 444.
4
Let l(w) = w**3 + 46*w**2 + 219*w + 38. What is the remainder when l(-26) is divided by 11?
10
Let w(n) = n**3 + 15*n**2 - n**2 - 34*n**2 - 2*n + 3 + 17*n**2. Let m = -3 + 7. What is the remainder when 43 is divided by w(m)?
10
Suppose -3*h - 2*g + 727 = 0, h = -h - 6*g + 480. Calculate the remainder when h is divided by 57.
15
Suppose 450*j = 459*j - 108. Suppose j*r - 6*r = 294. What is the remainder when r is divided by 15?
4
Let t be (-1)/((-1)/(-178) + 0). What is the remainder when (t/3)/(36/(-54)) is divided by 2/(3/(69/2))?
20
Let z = -5521 - -5951. What is the remainder when z is divided by 29?
24
Let w = 2699 - 1523. What is the remainder when w is divided by 10?
6
Let l = 8097 - 7958. Calculate the remainder when l is divided by 73.
66
Let p(v) = 48*v + 3. Let y be (-45 - 8)/(-1) - 8. Suppose 147 = -42*s + y*s. What is the remainder when p(4) is divided by s?
48
Let i(k) = k**3 + 23*k**2 + 37*k - 61. Let a be i(-21). Suppose -a*j + 364 = -18*j. Calculate the remainder when 431 is divided by j.
11
Let d(a) be the second derivative of a**4/12 + 7*a**3/6 - 5*a**2/2 + 47*a. What is the remainder when d(6) is divided by (-13)/(0 + -1 + 0)?
8
Let k = 468 + -291. Suppose -656 - k = -17*p. Calculate the remainder when 55 is divided by p.
6
Suppose -30*g + 5500 = -10*g. Let m = g + -249. Let i(x) = -25*x + 1. What is the remainder when i(-4) is divided by m?
23
Let c(l) = -l**3 - 21*l**2 + 32*l - 3. Let b be (-5)/(-35) + 4 + 760/(-28). Calculate the remainder when c(b) is divided by 80.
79
Let j = 572 + -565. Suppose -2*x + d = -582, -4*x + 1148 = -j*d + 9*d. What is the remainder when x is divided by 10?
9
Let q = -19838 - -19932. Let g(o) = 29*o**3 - 1. What is the remainder when q is divided by g(1)?
10
What is the remainder when (((-36)/(-80))/(42/70))/((-3)/(-109524)) is divided by 139?
137
Suppose -l - 4*l = -760. Suppose 5*c - 5*h = 170, -38*h = -4*c - 35*h + 133. What is the remainder when l is divided by c?
28
Suppose -5*a = o - 7362, -4614 - 2745 = -5*a - 2*o. What is the remainder when a is divided by 22?
21
Let k(w) = -10*w. Let v(h) = h**3 + 2*h**2 - 3*h - 1. Let b be v(-3). Let a be k(b). Suppose -a*n + 551 - 161 = 0. What is the remainder when n is divided by 5?
4
Suppose -2 + 8 = s - 2*p, -8 = -2*s + 2*p. Suppose 3*r - 32 = -4*f + 5*f, -s*f = 5*r - 57. What is the remainder when 25 is divided by r?
3
What is the remainder when 4/(-6) - 568/(-6) is divided by 1/(-6*4/(-792))?
28
Suppose -3*z - 47 = -275. Let f(a) = -670*a**2 + 20105*a - 22. What is the remainder when f(30) is divided by z?
52
Let t(u) = u**3 + 27*u**2 - 35*u - 68. Let f be t(-28). Suppose 0 = -17*v + 230 - f. Calculate the remainder when 74 is divided by v.
2
Suppose 3*b + 20*c = 26*c + 471, -4*c = -3*b + 485. Let f(s) = 2*s**2 - 2*s - 2. What is the remainder when b is divided by f(6)?
55
Let k = 6 - 6. Suppose k = 3*r + 2*h - 377, -5*h - 587 - 58 = -5*r. What is the remainder when r is divided by 16?
15
Calculate the remainder when 2632 is divided by (-76)/(-114)*(-1)/(-2)*(-4 - -157).
31
Let d = -27174 + 27183. What is the remainder when 346 is divided by d?
4
Let j be (-2876)/(-10) + 32/80. What is the remainder when 34 is divided by (j/(-336))/(6/(-112))?
2
Suppose 0*u = -3*u + h + 11, -2*u + h + 7 = 0. Let y(p) = -60 - p**3 + 56 + p + 0*p**2 - u*p - 4*p**2. Calculate the remainder when 78 is divided by y(-4).
6
Let p = 188 - 65. Let d = p - 23. What is the remainder when d is divided by 26?
22
Let w(c) be the third derivative of c**6/120 + 2*c**5/3 - 5*c**4/3 + 9*c**3 + 3*c**2 + 8*c. What is the remainder when 129 is divided by w(-41)?
12
Let c(t) = 2*t**3 + 36*t**2 - 43*t + 32. Calculate the remainder when 441 is divided by c(-19).
60
Suppose s = 2*f + 27, 4*f + 3*f - 5*s = -87. Let b(l) = -16*l - 23. Calculate the remainder when b(f) is divided by 48.
41
Let o(s) = 47*s**2 - 17*s**2 + 2*s + 16 - 15. Let d = 48 - 49. Calculate the remainder when o(d) is divided by 15.
14
Let p = -139 + 142. Let u be (-114 + (2 - p))*14/(-35). Calculate the remainder when 4 is divided by (-4)/u + 284/92.
1
Let t(w) = 19*w - 1. Suppose 3*g + 31 = 66*f - 62*f, -f - 4*g = -41. Calculate the remainder when t(2) is divided by f.
11
Su