 Let y be (-104)/14 - (-3)/7. What is the remainder when q is divided by (-138)/2*((-176)/24 - y)?
22
Let h = 19890 + -19881. What is the remainder when 854 is divided by h?
8
Let a(m) be the first derivative of -3*m**2/2 + 19*m - 2. Let b be (24/(-28))/((-2)/(-14)) + -4. Calculate the remainder when a(b) is divided by 13.
10
Suppose -j = -2*j + 20. Let l = 3542 + -3530. What is the remainder when j is divided by l?
8
Suppose 3*u - 2183 = -2*o, -141*o = 5*u - 145*o - 3697. Calculate the remainder when u is divided by 392.
341
Let s(q) = 263*q + 951. What is the remainder when 1618 is divided by s(-3)?
160
Suppose 0 = 2*s + 9*s. Let m(y) = 2*y**3 + 3*y**2 + y + 84. What is the remainder when m(s) is divided by 44?
40
Let i = 3018 + -1548. Suppose 20*g - 62*g = -i. What is the remainder when 122 is divided by g?
17
Suppose 0 = -4*i - 4*k + 5 - 13, 4 = 4*i - 2*k. Suppose i = 3*r - 0*r - 18. What is the remainder when (156/(-15))/(r/(-45)*1) is divided by 27?
24
Calculate the remainder when 1889 is divided by (-126113)/(-1199) + 2/(-11).
104
Let f(y) = -2*y**3 + 7*y**2 + 2*y - 8. Let d be f(3). Suppose -d*n + 18*n = 297. Suppose -4*c + 7 = -3*c. What is the remainder when n is divided by c?
6
What is the remainder when 12782 is divided by (8 + 0 - 178)*16/(-20)?
134
Let h(a) = 9*a**3 - 3*a**2 + 2*a - 3. Let j be h(2). Let c = 102 - j. Suppose 0 = 37*q - c*q + 60. Calculate the remainder when q is divided by 5.
0
Let j(x) be the second derivative of x**5/20 - x**4/2 + x**3/6 + 15*x**2 + 2*x - 51. Calculate the remainder when 36 is divided by j(5).
6
Let b = -39 + 86. Suppose 3*s - 4*z - 16 = 2*s, 8 = s - 2*z. What is the remainder when b is divided by (2 + s)*(2 + (-45)/(-10))?
8
Let a = -12035 + 18819. Calculate the remainder when a is divided by 117.
115
Let p = 520 - 289. Calculate the remainder when p is divided by 82.
67
Let f be (-14 - 15)/(3/(-9)). Suppose -f*c = -79*c - 856. What is the remainder when c is divided by 60?
47
Suppose -59*f + 109*f - 30*f = 3780. Calculate the remainder when 305 is divided by f.
116
Suppose -3*w = 6, 7*o - 11*o + 6 = w. Suppose -o*i - 4 = -4*u - 20, i - 2 = -u. Calculate the remainder when i is divided by 3.
1
Let d be (19 - 18)/((-1)/146). Let x = d - -161. What is the remainder when 67 is divided by x?
7
Let q = -4 - -12. What is the remainder when (-994)/(-7) + 1 + q is divided by 3?
1
Suppose -7 = 4*h - 87. Let w(d) = -d**2 + 20*d**2 + 4 + 4 + d - 5. What is the remainder when w(-2) is divided by h?
17
Let h(i) = -i**2 + 26*i + 43. Let j be h(24). Calculate the remainder when ((-2652)/j)/(24/(-112)) is divided by ((-2)/4)/(1/(-94)).
42
Let s = -29016 - -29061. Calculate the remainder when 7153 is divided by s.
43
Let y(d) = -d**3 + 67*d**2 + 107*d - 2367. Calculate the remainder when 1110 is divided by y(68).
255
Let p = 6010 + -5151. What is the remainder when p is divided by 12?
7
Let m(g) = -g**2 - 42*g - 350. What is the remainder when m(-14) is divided by 4?
2
Let j = 1799 - 1697. Calculate the remainder when j is divided by 74.
28
Let x(z) = -z**3 - 14*z**2 - 14*z + 6. Let t = 3843 + -3824. What is the remainder when x(-13) is divided by t?
0
Let k be 10*6/4*(-110)/(-330). Suppose -x + l = -k*x + 1183, 0 = -5*x + 3*l + 1500. What is the remainder when x is divided by 23?
21
Let q be ((-12)/8)/((-5)/((-1840)/(-12))). Suppose 2*f + 2*p + 3*p = 67, -2*f = -2*p - q. Let z = 68 - f. Calculate the remainder when z is divided by 23.
19
What is the remainder when (-56)/((-3)/2*(-220)/(-3795)) is divided by 68?
32
Let x be -3 + 48/(-9)*81/6. Let o = -37 - x. Let h = 6 - -14. What is the remainder when o is divided by h?
18
Suppose 11*v = 11026 - 3315. What is the remainder when v is divided by 101?
95
Let z = 3081 - 3019. What is the remainder when 3530 is divided by z?
58
Suppose -85*s + 17424 = 134*s - 87*s. Calculate the remainder when s is divided by 86.
46
Let z(q) = -258*q + 946. What is the remainder when z(2) is divided by 88?
78
Let n(f) = 3*f**2 + 59*f + 70. Calculate the remainder when 216 is divided by n(-19).
24
Suppose 5*z + 728 = 3*d + 6534, 3488 = 3*z - 4*d. Calculate the remainder when z is divided by 22.
16
What is the remainder when ((-375771)/386)/(9/(-12)) is divided by 107?
14
Let p(f) = -16*f - 72. Let s be p(-4). What is the remainder when 15 is divided by 4 - (3 - (s - -8))?
0
Let l(y) = -2*y**2 + 10*y + 104. Let j be l(-5). Suppose -9*d + 92 = j*i - 10*d, 46 = 2*i + 2*d. Calculate the remainder when i is divided by 4.
3
Suppose -8*o + o + 35 = 0. Suppose o*m = -3*u - 41, -3*m + 1 = 3*u + 28. What is the remainder when (-310)/(-3) + ((-56)/12)/m is divided by 36?
32
Let z(s) = -s**3 - 20*s**2 + 17*s + 3. Suppose 316 - 289 = 3*r. Calculate the remainder when z(-21) is divided by r.
6
Let b(r) = -r**2 + 99*r + 1975. Calculate the remainder when b(114) is divided by 28.
13
Let b(q) = -13*q**2 - 102*q + 21. Let v be b(-8). Let m = -2 + 0. What is the remainder when 43 is divided by 7 + -4 + (m - -5) + v?
10
Let f be 2/14 - (-348)/(-84). Calculate the remainder when 81/1 - (f - -1) is divided by 22.
18
Let z = -822 - -871. Suppose -2*o - 17 = -3*o. Calculate the remainder when z is divided by o.
15
Suppose -v - 2*t = -2*v + 5, -4*t - 11 = -v. Let d be ((-5)/10)/(v/4). Suppose -d*k = 4*z - 46, 3*z - z + 7 = k. Calculate the remainder when k is divided by 9.
6
Let u(b) = -b**3 - b**2 + 2*b - 1. Let l(a) = 4*a**3 + 26*a**2 - 30*a + 28. Let f(k) = l(k) + 3*u(k). Calculate the remainder when 73 is divided by f(-24).
23
Suppose o = -4*v - 0*o + 142, 3*o = 4*v - 134. Suppose 4*c - 50 = 2*b, -2*b = -37*c + 34*c + v. Calculate the remainder when 72 is divided by c.
12
Let t = -74 + 88. What is the remainder when 74 is divided by (666/296)/(-1 - t/(-8))?
2
Let k = -20204 + 20230. Calculate the remainder when 17860 is divided by k.
24
Let k(g) = 3*g**3 - 6*g**2 + 18*g - 1. Suppose -296 = 13*f - 335. Calculate the remainder when 87 is divided by k(f).
7
Let c = 13601 + -13464. Calculate the remainder when 261 is divided by c.
124
Suppose 2*w - 4*y + 71 - 211 = 0, -5*w = 5*y - 395. Calculate the remainder when 79 is divided by w.
3
Let r(c) = c**3 - 48*c**2 + 339*c - 46. What is the remainder when 1218 is divided by r(7)?
264
Suppose 6*u = 4*u - 6*u. Suppose 0*h - 3*h + 345 = u. What is the remainder when h is divided by 39?
37
Let m(l) = -2*l**3 + 19*l**2 - 5*l + 8. What is the remainder when 804 is divided by m(8)?
4
Let p = 37 - 32. Suppose 4*h + 5 = 21, 5*h - 11 = 3*r. Suppose 0*v - 3*v = -4*n + 83, r*n - v = 56. Calculate the remainder when n is divided by p.
2
Suppose -249*t + 164*t = -128*t + 5934. Let v = 35 + -7. What is the remainder when t is divided by v?
26
Let p be ((-72)/(-84))/(0 - (-2)/7). Suppose f = 3*j + 82, -5*f + 474 = -p*j + 4*j. Calculate the remainder when f is divided by 26.
16
Let o = 283 + -281. Let m(i) = 5*i**2 - 6*i + 7. Calculate the remainder when 19 is divided by m(o).
4
Let q(m) = 56*m - 773. What is the remainder when 19 is divided by q(14)?
8
Calculate the remainder when (24/(-32))/(3/2)*(-896 + -32) is divided by 80.
64
Suppose 4*a + 16*a - 2622 = a. What is the remainder when a is divided by (-1)/(-5) - (-1432)/40?
30
Let x = 39658 - 37188. What is the remainder when x is divided by 28?
6
Let m = -370 + 530. Let k = m + -18. What is the remainder when k is divided by 30?
22
Suppose -2*j + 2*l = -410, -60*j + 62*j = -3*l + 400. What is the remainder when 43441 is divided by j?
202
Suppose -5*b + 35*g - 30*g = -10, 4*g = 5*b - 13. Calculate the remainder when 73 is divided by b.
3
Let w(r) = 3*r**3 - 4*r**2 - 12*r - 42. Let x be w(6). Suppose 382*p + 48 = x*p. Calculate the remainder when 236 is divided by p.
2
Let f(c) = -32*c + 3*c**2 + 19*c + 19*c - 7 - 13. What is the remainder when f(5) is divided by 43?
42
Suppose 120 = 2*s - 20. Let n = -48 + s. What is the remainder when n is divided by (4/6)/(11/1848*16)?
1
Let p(c) = 7*c**2 - 27*c + 137. What is the remainder when p(7) is divided by 102?
87
Suppose 0 = -257*x + 6789 + 4776. What is the remainder when 1619 is divided by x?
44
Let m(s) = -s**3 + 35*s**2 + 28*s - 26. Let b be m(31). Suppose 0 = -5*v + 8*v + b. What is the remainder when ((-2)/9 + v/18)/(-1) is divided by 18?
15
Suppose -3*p - 4*h + 148 =