-j - 17, 5*l = -4*j + 116. What is the remainder when 419 is divided by l?
19
Let w be (-8944)/364*(-42)/4. Suppose 36*c = 39*c - w. Calculate the remainder when c is divided by 32.
22
Let g(r) = -11*r**2 + 178 + 2*r**3 - 3*r**3 + 14*r**2 + 57. Calculate the remainder when g(0) is divided by 17.
14
Let m(t) = -6*t**2 - 5*t - 17. Let g be m(-4). Let j = 103 + g. Suppose 10*p = 15*p - 285. Calculate the remainder when p is divided by j.
7
Suppose 5*a = -13 - 7. Let n(b) = -b**3 - b**2 + 7*b - 9. What is the remainder when 53 is divided by n(a)?
9
Let a = 802 + -210. Let p = a - 520. Calculate the remainder when 219 is divided by p.
3
Suppose 0 = -37*d + 3*d + 1356 + 4390. What is the remainder when d is divided by 64?
41
Let v(c) = 3*c**2 - 27*c - 142. Let a be v(-6). Suppose -4*g + 3*i - 19 + a = 0, 0 = 5*i - 5. Calculate the remainder when 46 is divided by g.
18
Suppose 99*b - 14934 - 47942 = -20603. What is the remainder when 2563 is divided by b?
1
Let k(s) = s**2 + 65*s + 621. Let w be 1 + -3 + -2 + 7. Suppose 5*d - w*t = 148 + 97, 5*t = -2*d + 129. Calculate the remainder when d is divided by k(-11).
25
Let k(c) = 51*c - 388. Calculate the remainder when k(31) is divided by 3.
2
Let l(b) = -192*b - 570. Calculate the remainder when 4/6 - 2413/(-57) is divided by l(-3).
1
Calculate the remainder when 6 is divided by (0 - 1)/8 - 2890/(-1360).
0
Let a(j) = 3*j**2 - 2*j - 10. Let s be a(-4). Let i = s + -34. What is the remainder when 15 is divided by i?
3
Let p(y) = y**3 - 7*y**2 + 3*y - 3. Let x be p(5). Let o = x - -50. Suppose 8*l - o = 28. Calculate the remainder when 12 is divided by l.
2
What is the remainder when (-8 + 420/49)/(2/287) + 5 is divided by 9?
6
Suppose 3*t + a - 952 = 0, 0 = 5*t + 3*a - 241 - 1339. What is the remainder when 645 is divided by t?
7
Let a(l) = 32*l - 10. Let p(t) = -t**2 + 17*t - 15. Let w be p(16). Let j(i) = 4*i**3 + i**2. Calculate the remainder when a(1) is divided by j(w).
2
Calculate the remainder when 9248/6 - 1764/(-378) is divided by 57.
7
Suppose -10 = -2*g, 9 = 5*r + 2*g - 11. Suppose -3*t + 1625 = r*t. Suppose -16*v - 53 = -t. What is the remainder when 47 is divided by v?
13
Let p be (-69)/2*(24/18 + -4). Suppose -80 = -0*x - 4*x + 4*z, -3*x - 5*z + p = 0. Let r(q) = -q**2 + 10*q - 7. What is the remainder when x is divided by r(8)?
6
Suppose 3*o + 15 = 8*o. Suppose -172 = -4*x - 3*y, -2*y - 45 = -o*x + 84. What is the remainder when 166 is divided by x?
37
Suppose -9*b - 3*h - 3456 = -12*b, -2*b + 2319 = h. Calculate the remainder when b is divided by 106.
97
Suppose -405*z = -391*z - 8008. What is the remainder when z is divided by 20?
12
Suppose -q - 70 = -3*r - 794, -3*q = -3*r - 2190. What is the remainder when q is divided by 56?
5
Suppose -20 - 8 = -5*p + 3*d, -3*p + 5*d = -4. Let h be (-39)/(-6) - (-9)/(-6). Suppose 0 = h*s - 10*s + 150. Calculate the remainder when s is divided by p.
6
Let z(o) = o + 98. Let s be z(0). Let c(a) = 33*a - 412. Let d be c(11). Let t = s + d. Calculate the remainder when t is divided by 19.
11
Suppose 0 = 2*k - 8. Suppose -33*t + 34*t - 402 = -5*j, 2*j = -t + 162. Calculate the remainder when j is divided by 2/k + 265/10.
26
Suppose 2*w = -3*k + 528, w = -5*k + 936 - 63. Suppose 3*d = n + 4*n - 95, 3*d = -4*n + 49. Calculate the remainder when k is divided by n.
14
Suppose -21*w + 26*w = -3*b + 902, -5*b + 910 = 5*w. Calculate the remainder when w is divided by 55.
13
Suppose 0 = -4*h + 37 + 111. Suppose 35*p + 46 = h*p. What is the remainder when (7/4)/(2/104) is divided by p?
22
Let y = 59 + 656. Suppose 0 = -3*s + y - 646. Let k(h) = -5*h + 1. What is the remainder when s is divided by k(-1)?
5
Let k be 8150/55 + 1 + 4/(-22). Suppose -31*o = -k - 1060. Calculate the remainder when 115 is divided by o.
37
Let m = -18739 - -18799. What is the remainder when 6298 is divided by m?
58
Suppose -10*a + 10290 = 4*a + 28*a. What is the remainder when a is divided by 53?
33
Suppose -3*w + 351 = -4*l, -9 = 2*l + l. Suppose 3545*n + 31 = 2*v + 3548*n, -3*v + 44 = 5*n. Calculate the remainder when w is divided by v.
21
What is the remainder when 10 - -126 - (2 + -13) is divided by 31?
23
Let p be 47/7 + (-24)/(-84). Suppose p = -z + 10. Suppose -3*l - 5*s = -50, 20 + 42 = 5*l + z*s. Calculate the remainder when 25 is divided by l.
5
Let k be (2 + -3)*1413/(-9). Suppose k + 65 = 3*x. What is the remainder when x is divided by 13?
9
Let m = -1880 + 4256. Calculate the remainder when m is divided by 14.
10
Suppose 5*f + 203 = 5*j - 57, 4*f + 12 = 0. Let b = 491 + -298. Suppose -703 = -30*m - b. Calculate the remainder when j is divided by m.
15
Suppose 7*d + 3*w - 5048 = 0, w - 115 = -110. Calculate the remainder when d is divided by 1206/15 + (-2)/5.
79
Calculate the remainder when 461 is divided by 100/125*5/2 - -10.
5
Suppose 4*d + 2 = -34. Let z(g) be the third derivative of g**5/60 + 7*g**4/24 - 4*g**3/3 - 129*g**2. What is the remainder when 39 is divided by z(d)?
9
Suppose p = -2*l + 42, 7*p = 5*p + 4*l + 44. Let j be (-20)/(-7)*14/4. Calculate the remainder when j/(-55) + 673/11 is divided by p.
29
Let f(h) = 6*h - 608. What is the remainder when 120 is divided by f(102)?
0
Let h be 1*(5 - (-9)/(-3)). Suppose -h*y = -4*l - 4, 22 - 1 = 4*y + 5*l. Calculate the remainder when (112/(-84))/((-2)/6) is divided by y.
0
Let k = -20780 + 21403. Calculate the remainder when 628 is divided by k.
5
Suppose 201*b = -117*b + 242431 + 59987. Calculate the remainder when b is divided by 252.
195
Suppose -3*n = 2*n - 35. Suppose 4*f + l - 45 - 31 = 0, 0 = 5*l - 20. Suppose f = 8*t - n*t. Calculate the remainder when 89 is divided by t.
17
Suppose 0*i = -3*i + 36. Let x = i - 1. Calculate the remainder when 2*(-20)/16*-8 is divided by x.
9
Let u(c) = 484*c + 745. What is the remainder when u(2) is divided by 66?
63
Suppose 144*d - 147*d - 3 = 0, 0 = 5*a - 5*d - 20. Suppose -2*j - 9 = -33. Suppose -t - 3*m = -m - 22, j = a*m. Calculate the remainder when 25 is divided by t.
11
Suppose -5*q + 249 = 4*j - 575, 3*j - 618 = -5*q. Let s = 402 - j. What is the remainder when s is divided by 101?
95
Let s(t) = 4*t**2 + 3*t + 4. Calculate the remainder when 31440/208 + (-4)/26 is divided by s(-3).
27
Let a(r) = -r - 23. Let n be a(-27). Suppose 3*v + 2*v = 5*h - 175, 5*v = n*h - 176. Let g = 132 + v. Calculate the remainder when g is divided by 17.
11
Let a = -379 + 389. Calculate the remainder when 66 is divided by (7050/19)/a - (-2)/(-19).
29
Let k(s) = 10*s - 13. Let p(v) = 5*v - 6. Let y(f) = 3*k(f) - 7*p(f). Calculate the remainder when (-83)/(-747) - (-1 + 287/(-9)) is divided by y(-2).
7
Suppose 3*j - 5*g - 5 = 0, 0 = 3*j + 3*g - 0 + 3. Suppose j = 5*o - 103 - 7. Suppose -73 = -5*b + 122. Calculate the remainder when b is divided by o.
17
What is the remainder when (-975)/90*-6*(-48)/(-15) is divided by 21?
19
Let m be (-3)/(-1) - (-8 - 6). Let x = m - -7. Let p = -7 + x. What is the remainder when 117 is divided by p?
15
Suppose 7*j - 10*j + 687 = 0. Suppose -q = 3*a - 9 - 42, 3*a + 27 = q. Calculate the remainder when j is divided by q.
34
Suppose 2*l = -11*v + 2252, -3*l - 2*v + 531 = -2789. Calculate the remainder when 4417 is divided by l.
1
Let h(t) = -t**2 + 27*t + 51. Suppose 0 = 5*c - 5*j + 4*j - 170, c - 23 = -2*j. Calculate the remainder when c is divided by h(28).
10
Suppose -28*v - 1510 = -7810. What is the remainder when v is divided by 53?
13
Suppose -j + 6 + 2 = 0. Let y(x) be the third derivative of -x**6/120 + 3*x**5/20 - x**4/4 - x**3/2 + 9*x**2. What is the remainder when y(j) is divided by 6?
1
Let y be (-132)/5 - (-5 + (-92)/(-20)). What is the remainder when 64 is divided by (0 - y)*(175/14 - 12)?
12
Let i = -12910 + 13000. Calculate the remainder when 8728 is divided by i.
88
Let b(j) = -j**3 + 17*j**2 + 16*j + 37. Let r be b(18). Let a = 107 - r. Calculate the remainder when 222 is divided by a.
10
Suppose -30*t - 15876 = -3*t. Let p = -546 - t. What is the remainder when 460 is divided by p?
40
Suppose 27*v - 29*v + 1020 = 8*v. What is the remainder when 1323 is divided by v?
99
Let x be (-1)/9 + (-222)/(-54). Suppose -d = -s + 57, 3*s + 37 = x*s + 3*d. What is the remainder when s is divided by 14?
10
Suppose -110*y - 501 = -2811. Suppose 7 - 1 = 3*