e the remainder when 347/5 - (-273)/455 is divided by 44.
26
Let b(k) = k**3 - 118*k**2 + 234*k + 372. What is the remainder when b(116) is divided by 101?
99
Let s = -32 - -25. Let n be 5*((-8)/(-28) + (-5)/s). Suppose -5*z + 55 = 5*x - 105, n*z - 3*x = 200. Calculate the remainder when 70 is divided by z.
33
Suppose -488*y - 1431 = -492*y - f, 4*y = 3*f + 1451. Calculate the remainder when y is divided by 11.
7
Let l = 4 + -819. Calculate the remainder when (l/20 + -2)*16/(-12) is divided by 10.
7
Suppose -3*o + 611 = 218. Calculate the remainder when o is divided by (-2106)/(-180) - (-33)/110.
11
Suppose p + 360 = 2*p + h, h = p - 352. What is the remainder when p is divided by 117?
5
Let q(k) be the third derivative of -7*k**4/6 + k**3/6 - 2*k**2. Calculate the remainder when q(-1) is divided by (-12)/((-45)/(-10)*(-3)/18).
13
Suppose -35*u + 12 = -33*u. Let t(j) = 9*j**2 + 4 + 12*j - 24*j**2 + u*j**2 + 8*j**2. Calculate the remainder when 59 is divided by t(11).
14
Suppose 0 = x - 19 - 44. Suppose -26*j + 17*j = -2349. What is the remainder when j is divided by x?
9
Let o = -57 - -80. What is the remainder when o is divided by 120/160 - 5/(-4)?
1
Suppose 0 = 36*y - 2792 - 1276. What is the remainder when 1237 is divided by y?
107
Let n(o) = -57*o - 224. Calculate the remainder when n(-6) is divided by ((195/9)/(-5))/((-2)/12).
14
Let u be -1*(-9)/(-3)*51. Let j = -128 - u. What is the remainder when (20/12 + 2/(-3))*47 is divided by j?
22
Suppose -38*o - 26*o + 1022 = 9*o. What is the remainder when 71 is divided by o?
1
Let v(a) = a**2. Let l be v(-2). Suppose -2*q + 14 = i - 2, -3*i + 36 = l*q. Suppose -q*k + 49 = k. What is the remainder when 12 is divided by k?
5
Let d = 97 + -113. What is the remainder when (-74)/(1 + 1)*-1 is divided by (5 - -6)*-4*4/d?
4
Let k(d) = 18*d - 142. Let h be k(13). Suppose z = 5*z - h. What is the remainder when z is divided by 5?
3
Let t(b) = 11*b**2 + 103*b - 15. Let g = 516 - 528. What is the remainder when t(g) is divided by 67?
65
Suppose -3*i - f = -i - 180, -3*i + 270 = f. Suppose 93*z - 126 = i*z. What is the remainder when 125 is divided by z?
41
Suppose -3*i = 5*h + 1296 + 1884, 0 = -3*h - 3*i - 1902. Let c = h - -989. What is the remainder when c is divided by 22?
20
Calculate the remainder when 505 is divided by 15483/156 - ((-2)/(-8) - 0).
10
Suppose 2*u = 2*d + 171 + 53, 315 = -3*d - 4*u. Let t = d + 112. Suppose -t*r = 5*g - 91 - 9, 3*g = 6. What is the remainder when 113 is divided by r?
23
Calculate the remainder when 1733 is divided by 260/4 - (-3 + -7 + 13).
59
Suppose -5*f + 48 = 3*z - 119, 4*z = 4*f + 180. Let r be -1 + 1 - 23/((-92)/(-1040)). Let a = r + 454. What is the remainder when a is divided by z?
47
Suppose l = -f - 2557 + 4073, -3*l - 12 = 0. What is the remainder when f is divided by 25?
20
Suppose -12*x = 12*x - 216. Suppose x*y - 13*y + q = -308, 4*q = y - 92. What is the remainder when y is divided by 6?
4
What is the remainder when 420 is divided by (-2916)/(-171) - (-10)/(-190)?
12
Let q(d) = 2*d**2 - 28*d + 5. Let y be q(14). Suppose 0 = -k - 4*w + 38, -y*k + 63 = 3*w - 110. What is the remainder when 71 is divided by k?
3
Suppose 421 = -5*x + h + 1121, 0 = x + 3*h - 156. What is the remainder when x is divided by (-3)/4*(-1012)/23?
9
Let a(c) = c**3 + 3*c**2 - 39*c + 6. What is the remainder when 1726 is divided by a(5)?
10
Let s(h) = -2*h**3 + 6*h**2 + h - 7. Let m be s(2). Suppose m*l + 2*k - 120 = 0, -2*l = l - 2*k - 120. What is the remainder when 117 is divided by l?
37
What is the remainder when 111538/155 - (-8)/20 is divided by 3?
0
Suppose -73*z + 3468 = -22*z. Calculate the remainder when 398 is divided by z.
58
Let j(v) = -v**3 - 6*v**2 + v - 13. Suppose 0 = a + 4 + 2. Let b be j(a). Let d(z) = z**2 + 18*z + 44. What is the remainder when d(b) is divided by 32?
31
Let c(r) = 344*r**2 + 11*r + 9. Calculate the remainder when c(-1) is divided by 21.
6
Suppose 0 = 180*i - 109473 + 1653. Calculate the remainder when i is divided by 145.
19
Let p = -65 - -3958. What is the remainder when p is divided by 3?
2
Let x = 60 - -22. Let a(l) be the first derivative of -11*l**4 - 2*l**3/3 + 2*l**2 + 4*l + 137. Calculate the remainder when x is divided by a(-1).
40
Let r = 12 - -8. Suppose -b = 4*b - r. Calculate the remainder when (((-80325)/102)/(-75))/((-6)/(-4)) is divided by b.
3
Let i = -67 - -70. Suppose 3 = 4*b + 3*d - 17, 12 = i*d. Suppose -3*m - 1 = -y + 24, 6 = -b*m. Calculate the remainder when 47 is divided by y.
15
Suppose -3 = 8*g - 5*g, -g - 107 = -a. What is the remainder when a is divided by 29?
19
Suppose 5*n = 4*b - 0*n - 727, b - 4*n - 168 = 0. Let c = b + -168. What is the remainder when c is divided by 20?
0
Let v(x) = x**3 + 14*x**2 + 192*x + 2763. What is the remainder when 161 is divided by v(-14)?
11
Let i = 4 - -2697. Let w = i + -1426. Suppose 201 = 9*h - w. What is the remainder when h is divided by 42?
38
Let l(a) = -64*a - 608. Suppose -v = -0*v - 220. What is the remainder when v is divided by l(-10)?
28
Let h(j) be the first derivative of -j**4/4 + 19*j**3/3 - 15*j**2 + 7*j - 73. What is the remainder when h(17) is divided by 19?
18
Let z = 82 - -91. Let s = -75 + z. Suppose -3*t + 61 = 4*y, -2 + s = 4*y - 4*t. Calculate the remainder when 74 is divided by y.
17
Let j = 175 - 145. Suppose d - 2 - j = 0. Calculate the remainder when 125 is divided by d.
29
Suppose -4*g = -4*d + 1340, 5*d - 3*g = -1075 + 2760. Let a = d - 293. What is the remainder when 281 is divided by a?
46
Let h = -237 - -240. Suppose -23*n = -21*n + 4. Let x(a) = a**2 - 3*a. What is the remainder when x(n) is divided by h?
1
Let j = 23 + -10. Let r be 113 + 5/(35/(-14)). Suppose 0 = r*m - 110*m - 114. Calculate the remainder when m is divided by j.
10
Let n = -270 + 392. Let g = n - 117. Calculate the remainder when 98 is divided by g.
3
Let i(x) = -23*x + 62*x - 89 - 31*x. Calculate the remainder when i(14) is divided by 17.
6
Let y be -4 - -1*(2 + 24). Let q = 36 - y. What is the remainder when 29 is divided by (40/q)/((-8)/(-28))?
9
Let p = -2292 - -2315. Let i = -4 - -12. What is the remainder when p is divided by i?
7
Let c = -6 + 58. Calculate the remainder when c is divided by (10/(-38))/((-1450)/137750).
2
Let t = 1597 + -310. What is the remainder when t is divided by 258?
255
Suppose -14*u + 4260 = -4*u. Let a = u + -335. Calculate the remainder when a is divided by 24.
19
Let b(d) = 33*d - 3492. What is the remainder when b(121) is divided by 84?
81
Suppose 2*p - 1174 = -75*g + 74*g, 4*g - 4696 = 5*p. Calculate the remainder when 2356 is divided by g.
8
Suppose 6*x + 201 = 7*x - g, -4*x + 798 = -g. Let v = 211 - x. Let c(z) = 2*z + 1. Calculate the remainder when v is divided by c(2).
2
Let d be 2*(-2)/(-6)*(-396)/(-12). What is the remainder when (33 - 1) + (-17 - -14) is divided by (-33)/d*10/(-3)?
4
Let l be 3/(-2) - 6/4. Let t = -1541 - -1567. What is the remainder when (6/4)/(l/(-256)) is divided by t?
24
Let y be 44/(-6)*60/(-20). Suppose -y*w + 21*w + 5 = 0. What is the remainder when 7 is divided by w?
2
Let v(a) = 109*a - 5540. What is the remainder when v(51) is divided by 12?
7
Let b = 21 + -2. Suppose -5*p + 1723 = 3*a, -4*p + 0*a - 2*a = -1378. Let y = p - 307. Calculate the remainder when y is divided by b.
18
Suppose -2*c - 32*j + 314 = -34*j, -326 = -2*c + 5*j. Calculate the remainder when c is divided by 63.
27
Suppose 3*o = -4*s + 4, 9 + 5 = 4*o + s. Calculate the remainder when (o - 693/(-14))*2 is divided by 32.
11
Suppose 6468 + 5787 = 755*u - 565 - 15. Let o = 117 + 231. Suppose -2*n = n - o. Calculate the remainder when n is divided by u.
14
Let u be (-2)/6*4*-3. Suppose z = 4*b + 2*z - 28, 0 = u*b + 2*z - 24. What is the remainder when b is divided by 0 + ((-4)/(-32))/((-21)/(-336))?
0
Let m = -3306 + 4209. Calculate the remainder when m is divided by 69.
6
Suppose 0 = 19*j - 21*j - 6. What is the remainder when (-3 - -37)*j/(-2) is divided by 27?
24
Let i(k) = 90*k - 765. What is the remainder when i(9) is divided by 13?
6
Suppose 3*x + 37 = b, -2*b + x + 89 = 20. Let m = -59 + 65. What is the remainder when ((-170)/(-30) - 6) + 596/m is divided by b?
31
Suppose -33*w + 4*p - 2804 = -37*w, 4*p - 2108 = -3*w. Calculate the rem