 -1294. Calculate the remainder when r is divided by (-23)/23 - 37/(-1).
33
Let a = -3872 + 5988. Calculate the remainder when a is divided by 705.
1
Let r = 71 + -67. Suppose -r*f = -2*t + f + 18, -t = 4*f + 4. What is the remainder when 19 is divided by t?
3
Suppose 2*c + 3*r = 16, 0 = -4*c + 2*r - 1 + 17. Suppose 0 = 4*l - 0*l + 2*v - 140, -169 = -c*l - v. What is the remainder when l is divided by 6?
3
Let v(k) = k**3 + 6*k**2 + 9*k + 17. Let i be v(-5). Let h be (-9372)/(-84) + i/(-7). Suppose -h - 8 = -5*f. Calculate the remainder when 88 is divided by f.
16
Let s(r) = r**2 + 12*r + 2. Let p be s(-12). Suppose -x + 72 = p*x. Let b(j) = -j**3 + 10*j**2 - 12*j + 5. What is the remainder when b(7) is divided by x?
20
Suppose 2*w - 5*q = 508, 0 = 3*w - 4*q - 630 - 139. What is the remainder when w is divided by 11?
6
Let u(s) = -s**2 + 95*s - 1260. Calculate the remainder when 112 is divided by u(16).
0
Let s(z) = z**3 - 5*z**2 - 3*z - 8. Let u be s(6). Let j be -2 + -3*u/15. Let l(x) = 3*x**2 + 8*x + 4. What is the remainder when l(j) is divided by 7?
6
Suppose -83*q - 399 = -90*q. Suppose -3*m + 187 = 4*w, -m - 3*w = w - q. What is the remainder when m is divided by 14?
9
Suppose -3*h - 2*w - w = 201, -2*h = 5*w + 134. Let t(b) = -b**2 - 2*b - 58. Let s be t(0). Let n = s - h. What is the remainder when n is divided by 7?
2
Suppose -56 = -4*d + 4*i, -2*i + 3*i = 2*d - 24. Suppose 0 = -d*n - 158 - 482. Let t = -50 - n. Calculate the remainder when t is divided by 2.
0
Let t = 11770 - 3741. What is the remainder when t is divided by 16?
13
Suppose 948 = 13132*m - 13126*m. What is the remainder when 180 is divided by m?
22
Let r = -44 - -46. Suppose -12 = -3*c + 4*z, 6 = c - r*c - 2*z. Suppose c*f + 7*f - 210 = 0. Calculate the remainder when f is divided by 11.
8
Suppose -14*q = -3*q - 990. Suppose 2*t + 3*h - 16 = q, -5*t = 2*h - 243. What is the remainder when 174 is divided by t?
33
What is the remainder when 533 is divided by 107/(7*(-18)/(-252))?
105
Suppose -5*j + 3*x = -6980 + 1546, 1070 = j - 3*x. What is the remainder when j is divided by 182?
181
Let n(w) = -w**3 + 11*w**2 - 24*w + 42. What is the remainder when 226 is divided by n(5)?
10
Let c be 4564/(-10) - -2 - (-20)/50. Let d = -262 - c. Suppose -w + d = 5*w. Calculate the remainder when 127 is divided by w.
31
Let b(m) = -m**2 - 2*m - 8. Let x be b(-4). Let i be -5 - x - 15/(-3). Suppose 17*h - 15 = i*h. Calculate the remainder when 118 is divided by h.
13
Suppose 57*u - 59*u + 4*d + 60 = 0, -2*d = 4*u - 60. Suppose -3*m + 190 = 2*m. Calculate the remainder when m is divided by u.
2
Let k = -95 - -142. Let j = -22 + k. Calculate the remainder when 784/24*(0 - 3/(-2)) is divided by j.
24
Suppose 3*y = -2*m - 62 + 2, 0 = 5*y + 3*m + 99. Calculate the remainder when 54 is divided by (153/y - -8)/(1/(-22)).
10
Let o(z) = -2*z**3 - 43*z**2 - 186*z + 6. Calculate the remainder when 1441 is divided by o(-5).
109
Calculate the remainder when 20680/(-66)*(-5 + -7) is divided by 57.
55
Suppose -3*j - 2*r + 298 = 0, 4*r + 1408 = -3*j + 1716. Suppose 0 = 5*t + 2*d - 1429, -2*d - 568 = -2*t - d. What is the remainder when t is divided by j?
93
Let z be -1*(6 - 4) - (4 + -6). Suppose -2*f - f + 15 = z, -3*s - f + 38 = 0. Let b = 3 - -4. Calculate the remainder when s is divided by b.
4
What is the remainder when -10*(6/(-57) - (-216)/(-114)) is divided by (10/4)/((-2)/(-12))?
5
Suppose 45*j - 1470 = 420. Let a(d) = d**2 - 17*d + 14. What is the remainder when j is divided by a(17)?
0
Suppose 0 = -r + 8*r + 1015. Let u = -61 - r. Suppose -31 = o - u. What is the remainder when o is divided by 19?
15
Let u = 69 - 24. Suppose b - 8*x - 28 = -4*x, -5*b = 3*x - 25. Calculate the remainder when u is divided by b.
5
Suppose o - 2*l = 27, l + 19 = 5*o - 35. Calculate the remainder when 18816 is divided by o.
6
Suppose 5*d = -5*x + 45, -9*x + 64 = 4*d - 12*x. Let o(v) = -30*v - 16. What is the remainder when o(-3) is divided by d?
9
Suppose 15*k + 120 = 345. What is the remainder when (-4 + 33)/(1/3) is divided by k?
12
Suppose 2*i + g - 333 = 0, 0 = 3*i + 5*g - 199 - 276. Calculate the remainder when 2185 is divided by i.
145
Let x be (-3 + -3 - 0) + (-2 - -1). Let h(p) be the second derivative of -p**3/2 - 5*p**2 - 11*p. What is the remainder when 38 is divided by h(x)?
5
Let b = -53 + 59. Calculate the remainder when 252 is divided by (258/18)/(2/b).
37
Let x(a) = 342*a**3 + 3*a**2 - 2*a. Let f be x(1). Suppose f - 25 = 2*m. What is the remainder when (m/9)/(6/18) is divided by 8?
5
Let y be -13*20*((-3)/2 + 1). Suppose 50 = 18*f - y. Calculate the remainder when 249 is divided by f.
9
Let p(x) be the third derivative of 7*x**4/12 - 7*x**3/6 - 10*x**2. What is the remainder when p(4) is divided by (-8)/5 + 584/40?
10
Let b(l) = -l**3 + 14*l**2 + 24*l - 173. Let o be b(9). Suppose -o*q + 488 = -444*q. What is the remainder when q is divided by 63?
59
Let y = -145047 + 145052. What is the remainder when (-79)/(-7) - 4/14 is divided by y?
1
Let y(x) = -x**3 - 4*x**2 + 8*x - 5. Suppose 0 = j - 4*j - 21. Suppose 1460*s - 122177 = -2753*s. What is the remainder when y(j) is divided by s?
28
Calculate the remainder when (4224/(-28) - -28)*(-7)/2 is divided by 138.
16
Suppose -68 = -3*v + 82. Calculate the remainder when v is divided by 3/66 - 26915/(-770).
15
Let m(a) = a**2 - a + 2. Let d be m(-5). Let r = -12 + d. What is the remainder when (-1)/2 - (-52)/8*9 is divided by r?
18
Suppose 513*x + 178*x + 23533 - 114745 = 0. What is the remainder when 3825 is divided by x?
129
Let s = 11703 - 11565. What is the remainder when 470 is divided by s?
56
Suppose -57*b + 14802 - 22250 + 66101 = 0. What is the remainder when b is divided by 339?
12
Suppose 0 = -2*h + 4*u - 382, -2*h + 12*u = 17*u + 400. Let p = -136 - h. What is the remainder when 228 is divided by p?
51
Let q(k) = 9*k. Let w be q(3). Suppose -4*c - 3*s + 7*s + 576 = 0, 5*s = -3*c + 440. Suppose -4*t = -c - w. Calculate the remainder when t is divided by 24.
19
Let d = 1322 + -953. What is the remainder when d is divided by 31?
28
Let x be ((-7)/(-21) + 1)/(4/18). Suppose -x*b + 8*b = 18. Calculate the remainder when 12 is divided by b.
3
Suppose 2*z - 5*c + 532 = 3*z, -3*c = -0*c. What is the remainder when z is divided by 148?
88
Let u(b) = -b**2 + 10*b + 622. What is the remainder when 187 is divided by u(30)?
11
Let q be (-4436)/(-16) + 11/(-44). Calculate the remainder when (-45)/(-105) + q/7 is divided by 24.
16
Suppose 26*y - 23*y = -4*g + 1016, -15 = -3*g. What is the remainder when y is divided by 68?
60
Suppose 2*v + 195 = -5*b + 6*b, -v - 3 = 0. Suppose 46*t = 8 + 544. What is the remainder when b is divided by t?
9
Let a = -15 - 0. Let g = 13191 - 13187. What is the remainder when -2*a/6 - g - -34 is divided by 20?
15
Let w(g) = -g**3 + 15*g**2 + 17*g + 16. Let h be w(16). Suppose 5*l + h = 2*p - 7, p = -l + 9. What is the remainder when 83 is divided by p?
11
Let a = 9150 - 9116. What is the remainder when 1023 is divided by a?
3
Let x(h) = 2*h + 31. Let d be x(-10). Let m = d + 9. What is the remainder when 45 is divided by m?
5
Suppose 0 = y + 3*y + 360. What is the remainder when ((-481)/(-26) - 19)/(1/(-56)) is divided by y/20*4/(-3)?
4
Let v(n) = 4*n**2 - 2*n - 3. Suppose 4*o - t - 396 = 0, -104 = -o + 82*t - 83*t. Calculate the remainder when o is divided by v(-2).
15
Suppose 9*g - 157*g = -14*g - 6968. What is the remainder when 675 is divided by g?
51
Suppose -73 = 2*n - 63. Calculate the remainder when -1 + n + 2 + 3 - -24 is divided by 6.
5
Let w = -38 - -55. Let c be 1/((-4 + 3)/(-85)). Suppose -2*d + c = 5*v + w, 3*d - 60 = -4*v. What is the remainder when 81 is divided by v?
9
Let x = 84 - 69. Let r(u) = u**3 - 16*u**2 + 13*u + 14. Let n be r(x). Calculate the remainder when 98 is divided by 27*1 + (-18 - n).
23
Let l(h) = h**3 + 30*h**2 + 90*h - 131. Calculate the remainder when l(-26) is divided by 79.
75
Suppose z = 2*i - 43 - 31, 5*z - 5*i + 385 = 0. Let m = z - 24. Let u = -73 - m. Calculate the remainder when 60 is divided by u.
29
Let w(g) = 89*g**2 - 3. Let q be w(3). Let b = q - 1176. Calculate the remainder when 134 is divided by (b/35)/(4/(-10)).
26
Let l = -4499 + 5388. What is the remainder when l is