. Calculate the remainder when j is divided by 31.
24
Let z be 300/(-45)*(-12)/5. Suppose -14*j = -z*j - 132. Let p = -48 - j. What is the remainder when 51 is divided by p?
15
Let g = -44 + 58. Let c(q) = g*q - q**2 - 3 - 6 - 6. What is the remainder when c(6) is divided by 18?
15
Suppose -5*m - 4*h + 901 = 0, 662*m - 155 = 661*m + 2*h. What is the remainder when 1029 is divided by m?
164
Let m(y) = -y - 37. Let d(v) = v**3 - 5*v**2 - v - 8. Let q be d(5). Let w be m(q). Calculate the remainder when 10 - -4*18/w is divided by 3.
1
Suppose 58*a - 9*a - 7924 + 1407 = 0. Calculate the remainder when 556 is divided by a.
24
What is the remainder when (-1 + 26/32)*-956*(-624)/(-468) is divided by 14?
1
Let z(u) = 29*u**2 + 11*u + 5. What is the remainder when 4690 is divided by z(-1)?
21
Suppose 24*w = -4*w - 2576. Let k = 220 + -64. What is the remainder when k is divided by ((-106)/(-4))/((-46)/w)?
50
Let o = -5 + 31. Suppose d = 4*z - 159, -29*z + o*z = 4*d - 105. Calculate the remainder when z is divided by 20.
19
Suppose 3*k + 4*s = 249, -735*k + 733*k - 4*s = -174. Calculate the remainder when 996 is divided by k.
21
Suppose -37 = 3*o + 56. Suppose 28 = 248*g - 244*g. Let r = g - o. What is the remainder when 112 is divided by r?
36
Suppose -d + 5117 = 2*c, 235*c - 236*c - 3*d + 2566 = 0. What is the remainder when c is divided by 849?
10
Suppose 4*n = 43 + 45. Calculate the remainder when (5/10)/(3*4/(-120))*-7 is divided by n.
13
Suppose -6*x = -4*x - 8. Suppose 3*h + 2*o - 40 = 0, x*h - 4*o - 11 = 9. Calculate the remainder when 68 is divided by h.
8
Suppose 37*y - 34*y + q - 16948 = 0, -28220 = -5*y - 7*q. Calculate the remainder when 5655 is divided by y.
4
Suppose -279 = 5*n - 10904. Suppose -21*x = -857 - n. Calculate the remainder when x is divided by 18.
16
Let v(q) = 2*q - 3*q + 2 - 3. Let k be v(-1). Suppose 80 = 4*i + 4*j, -5*i + j - 5*j + 98 = k. Calculate the remainder when 30 is divided by i.
12
What is the remainder when 251 is divided by ((-3)/(-5))/(159/23850)?
71
Calculate the remainder when (-1761*1 + -1)*(-62)/124 is divided by 281.
38
Suppose -1030 = 6*h - 784 - 3222. What is the remainder when 839 is divided by h?
343
Calculate the remainder when ((-66)/24)/((-26)/1664) is divided by 46.
38
Suppose -10 = 3*n - 67. Let u = n - 9. Calculate the remainder when 77 is divided by u.
7
Let z be (2 - 25/10) + (-74)/(-4). Suppose -6 = -8*d + z. Suppose 5*j = 2*n + 272, d*j - n - 52 = 2*j. What is the remainder when j is divided by 19?
18
Suppose -72 = -4*i + 284. Let u = -2119 + 2468. What is the remainder when u is divided by i?
82
Suppose -119 = -29*b - 59 + 114. What is the remainder when 1272 is divided by b?
0
Suppose -7*m + 10*m = 15. Suppose m*a = -a - 192. Let v = 41 + a. What is the remainder when 23 is divided by v?
5
Let d(j) = 11*j**2 + 33*j + 2. Let b be d(-8). Let p = b - 419. Calculate the remainder when 273 is divided by p.
20
Suppose -18*g = 0, -4*k + 2004 = 37*g - 41*g. What is the remainder when k is divided by 8?
5
Suppose y + 0 + 3 = 0, 0 = -3*o + 2*y + 720. Suppose 10 = -2*i + 6*d, 3*i + 3*d + 15 = 6*i. What is the remainder when o is divided by i?
8
Calculate the remainder when 782 is divided by 38/(-20) - 0 - 1/10 - -233.
89
Suppose -3*w + 3*b = -234, 0 = -2*w + 5*b - 79 + 244. Calculate the remainder when 161 is divided by w.
11
Suppose 11*z + 14 = 15*z - 2*m, -5*z = 5*m - 55. Suppose 105 + 39 = z*j. What is the remainder when 118 is divided by j?
22
Suppose -31*i - 58 = -926. Suppose 5*g = 4*s + 38, -g - s = 4*s + 4. Calculate the remainder when i is divided by g.
4
Suppose -18*z = 18, 64*z - 63 = -3*q + 67*z. What is the remainder when -4*-2*19/2 is divided by q?
16
Suppose -g = -m, 5*m - 2*g + 14 = 23. Suppose 3*r + 49 = 4*r. Suppose -5*w + r = 2*b, m*w = -5*b - w + 80. What is the remainder when 82 is divided by b?
10
Suppose -4*n + 0*n = -20. Suppose -15 - 165 = -n*x. Let m = 31231 - 31126. What is the remainder when m is divided by x?
33
Let n = -50 + 79. What is the remainder when ((-2)/(-3)*4 + (-121576)/2004)/(-1) is divided by n?
0
What is the remainder when 764/(-955) - 379/(-5) is divided by 16?
11
Let g = 316 + -299. Suppose 11 = 4*q + j - 66, q = 2*j + g. Calculate the remainder when q is divided by 14.
5
Let v(b) = 5*b**2 - 13*b + 14. Suppose 3*g - 9 = 0, -3*g + 61 + 152 = 3*l. Calculate the remainder when l is divided by v(1).
2
Suppose 2*j + 180 = j - 5*o, -4*j = -4*o + 624. Let l = -104 - j. Suppose -4*x + 112 = -l. Calculate the remainder when x is divided by 11.
9
Let z = 80 - 54. What is the remainder when (-40)/(-32)*-3*160/(-3) is divided by z?
18
Let m(t) = 3*t**3 + 2*t**2 + 4. Let v be m(3). Let z = v + -101. Calculate the remainder when 33 is divided by 24/20*(1 + z - -7).
9
Suppose 0*v = -24*v - 5*v + 2900. Let x be (0 - 8/10)*-5. Suppose 21 - x = o. What is the remainder when v is divided by o?
15
Suppose 0 = -5*s + 392 + 63. Let f = s - 5. What is the remainder when f is divided by 15?
11
Let p(d) = -2*d**3 + 134*d**2 + 16*d - 573. Calculate the remainder when p(67) is divided by 20.
19
Suppose -415 = -8*c + 335 - 118. Calculate the remainder when 2028 is divided by c.
53
Let t = 144 - 97. Suppose 22*r = 303 + 1480 + 4355. Calculate the remainder when r is divided by t.
44
Suppose 1376 - 109 = 7*d + 35. What is the remainder when 887 is divided by d?
7
Let r(h) = 11*h**2 - 92*h - 87. What is the remainder when r(-20) is divided by 114?
111
Calculate the remainder when (-15642)/132*4/(-6) is divided by 14.
9
Let t(p) = -20*p - 6. Let m be 5/(-4 + 4 - 1). Let f be t(m). Suppose 5*k - f = -19. What is the remainder when k is divided by 8?
7
Let g(u) = -5*u + 2. Let k be g(-1). Suppose -54 - 142 = k*b. Let s = 46 + b. What is the remainder when 67 is divided by s?
13
Let z(p) = p**3 + 73*p**2 + 31*p - 2044. Calculate the remainder when z(-72) is divided by 185.
168
Let r be ((-1274)/(-16))/13 - 1/8. Let x(v) = 4 + v**2 + 8*v**2 + 3*v + 4*v**2 - r. What is the remainder when x(1) is divided by 8?
6
Let k(a) = -3*a - 9. Let b(f) = -12*f**3 - f - 1. Let o be b(-1). Let q be k(o). Calculate the remainder when 6/(-2)*2130/q is divided by 36.
34
Let s = -10 - -15. Suppose 0 = 248*g - 234*g - 36344. Suppose -k - 2558 = -g. What is the remainder when k is divided by s?
3
Let t(n) = -9*n**2 - 76*n. Let u be t(5). Calculate the remainder when 26 is divided by 4/22 + (-15620)/u.
0
Suppose 212*p - 219*p + 28 = 0. Suppose 7*l = -y + 2*l - 1, -3*y - 5*l + 7 = 0. What is the remainder when 34 - (-3)/y*-4 is divided by p?
3
Let h = -3911 - -3981. Calculate the remainder when 237 is divided by h.
27
Suppose 4*p + 3*g - 15 + 271 = 0, 4*p + 2*g = -260. Calculate the remainder when 21816/138 + (p/(-23) - 3) is divided by 56.
46
Suppose 5*c - 5 = -u, -3*u - 6*c + 4*c + 28 = 0. Calculate the remainder when -5 + 534/9 - (-35)/21 is divided by u.
6
Let r(x) = -x**3 + 20*x**2 + 14*x - 9. Let t be r(20). Let f = t + -213. Calculate the remainder when f is divided by 15.
13
Let u = -430 + 425. Calculate the remainder when u - (686/(-7) - -7) is divided by 41.
4
Let s(y) be the second derivative of y**4/12 - 7*y**3/6 + 5*y**2/2 + 68*y. Calculate the remainder when s(8) is divided by 2.
1
Suppose 4*r - 160 = -4*l, -5*r + 215 = -5*l + 25. Let m be (-16)/56 + (-52)/14. What is the remainder when r is divided by (m/6)/(39/(-819))?
11
Let z = 5 + -1. Suppose -z*v + 37 = -3*v. Let t(f) = -10*f + 10. What is the remainder when v is divided by t(0)?
7
Suppose -37*i + 24*i - 39 = 0. Let v be (-2 - 2)/(i*(-1)/9). Let o(r) = -2*r**3 - 23*r**2 + 9*r - 13. What is the remainder when o(v) is divided by 5?
3
Let w(l) = -l**3 + 21*l**2 + 160*l + 13. Suppose 6*d = d + 25. What is the remainder when w(-6) is divided by d?
0
Suppose -6*j - 41 = 55. Let b = 18 + j. Let h(o) = 9*o - 26. Calculate the remainder when b is divided by h(3).
0
Let c = -19182 - -19187. Calculate the remainder when 4028 is divided by c.
3
Let l(w) = 262*w**2 + 403*w + 5. Calculate the remainder when l(-2) is divided by 194.
53
Let y be 1 + (-9)/(-6) + 2/4. Suppose -y*g - 70 = -q + 43, 2*g + 67 = -q. Calculate the remainder when (87/g - 1/3)*-12 is divided by 13.
7
What is the remainder when -1677*((-18)/3)/18 is divided by 12?
7
Suppose -99 - 14