*d. Calculate the remainder when d is divided by 88.
12
Suppose -3*g - 5 = -65. Suppose 10 = 4*d + 6. Calculate the remainder when (d - 6)*(-22 - -7) is divided by g.
15
Let t = 7 - 4. Suppose 7*p = -m + 2*p + 56, 4*m - 139 = -t*p. Suppose 4*f - 4*o - 29 - m = 0, -85 = -4*f - o. Calculate the remainder when 59 is divided by f.
19
Suppose -15*b = 13*b + 1848. Let h(m) = m + 70. Let z be h(0). Let p = z + b. Calculate the remainder when 4 is divided by p.
0
Let l(h) = 13*h**2 + 14*h - 10. Suppose 7*n = -189 + 168. Calculate the remainder when l(n) is divided by 41.
24
Calculate the remainder when 166 is divided by 3 + 50 + 228/54 + (-8)/36.
52
Suppose 43 = -5*o + 6*o. Suppose -o*r = -41*r - 62. Suppose 92 = 35*i - r*i. What is the remainder when 43 is divided by i?
20
Suppose -5*f = 4*u - 957, 947*u - 952*u + 1150 = -3*f. What is the remainder when u is divided by 191?
42
Let y(n) be the first derivative of 4*n**2 + 16*n + 4. Let b be y(-9). Calculate the remainder when 38 is divided by (-104)/(-14) + b/(-98).
6
Let f be (-3)/6 + 91/(-14). Let t be 7 + f/((-28)/(-12)). Suppose -k - t*k + 15 = 0. What is the remainder when 8 is divided by k?
2
Let o(z) = z**3 + 11*z**2 - 4*z. Let v be o(-6). Let b = v + -9. Calculate the remainder when b is divided by 4.
3
Let y = -2570 + 4794. What is the remainder when y is divided by 131?
128
Let r be ((10/(-6))/5)/((-17)/153). Suppose 66*g - 182 = 61*g - 4*f, -f = r*g - 112. Calculate the remainder when 84 is divided by g.
8
Let t = 14127 - 14058. What is the remainder when 1709 is divided by t?
53
Let q(t) = -2*t**3 + 41*t**2 + 70*t - 14. What is the remainder when 1/(-4) - 289/(-4) is divided by q(-2)?
20
Let r = -63 + 211. Let v(d) = 570*d - 13674. Calculate the remainder when r is divided by v(24).
4
Suppose 8 = -5*v + 4*v - 4*z, 0 = 4*v - 5*z - 31. Let b be 1/(210/52 - v). Calculate the remainder when (21/2 - -1)/(13/b) is divided by 13.
10
Suppose 5*p = -5*i + 15, -10*i - 2*p + 8 = -6*i. What is the remainder when 110 is divided by (-2 - i)/(-2*5/140)?
26
Suppose -4*d + 13 = 3*z, z - 11 = -4*z + 4*d. Suppose z = 2*y - 29. What is the remainder when 175 is divided by y?
15
Suppose 291*f - 361*f + 31780 = 0. Calculate the remainder when f is divided by 155.
144
Let a = -5254 + 5380. What is the remainder when 5290 is divided by a?
124
Suppose -2*t = 5*f - 974, -2*f - 5*t - 766 = -6*f. Suppose s = -h + 66, -12*s = 3*h - 10*s - f. Calculate the remainder when 183 is divided by h.
59
Let j be (9/2)/((-3)/28). Let d = 68 + j. What is the remainder when d is divided by (-15)/25 + (-76)/(-10)?
5
Let l(p) = -p**3 + 34*p**2 - 102*p + 283. What is the remainder when 6/10 - (-474)/10 is divided by l(31)?
0
Let v = 198 - 198. Suppose v = 11*q + 9*q - 1340. Calculate the remainder when q is divided by 17.
16
Suppose -10 = -3*n + 2*y + 38, -5*n - 5*y + 55 = 0. Let z be (4/(-6))/((-2)/(-9)). What is the remainder when n is divided by (-1)/(z - (-16)/6)?
2
Calculate the remainder when 4406 is divided by (35/4)/(24/96).
31
Suppose -6*p - 59 = 781. Calculate the remainder when 36 is divided by (-100)/60 - p/12.
6
Let v(d) = d**3 - 8*d**2 + 13*d - 20. Let q be (-4)/(-10) - -6*(-66)/(-60). What is the remainder when ((-2)/6)/((-1)/246) is divided by v(q)?
16
Suppose -76 = -3*w + 5*s, -25 = -w - 5*s - 33. What is the remainder when 12000 is divided by w?
15
Let w(q) = 255*q**2 + 39*q + 16. Suppose 2*j + 2*y - 6*y - 48 = 0, 4*j = -y + 105. Calculate the remainder when w(-1) is divided by j.
24
Suppose -9*z + 1842 = 591. What is the remainder when z is divided by 20?
19
Let j(k) = 8*k + 64. Let c(d) = d**2 + 10*d + 4. Calculate the remainder when j(-6) is divided by c(-10).
0
Let j be ((-54)/36)/((-1)/2). Suppose h = -3*m + 53, -2*h - m = j*h - 237. Calculate the remainder when 138 is divided by h.
44
Let s = -813 - -920. What is the remainder when 128 is divided by s?
21
Suppose 4*g + 11*g = -5583 + 6093. Calculate the remainder when 1358 is divided by g.
32
Let j(o) = o**3 - 2*o**2 + 6*o - 12. Suppose 5*u + 31 = 2*l, 2*l - 4*u - 24 - 2 = 0. What is the remainder when j(l) is divided by 8?
7
Suppose 0 = -3*s + 13*s + 340. Let v = -13 - s. Suppose 4*k - 18 = -2*a + 2, a = 5*k - 32. Calculate the remainder when v is divided by k.
3
Let n be (10/2)/((-10)/(-8)). Suppose -4*z = -z - 15, -n*k = -4*z - 172. What is the remainder when 190 is divided by k?
46
What is the remainder when ((-1)/3)/(12 - 4825/402) is divided by 78?
56
Suppose 11*n - 3*n = -2*n + 310. Calculate the remainder when 711 is divided by n.
29
Suppose x = -18*x. Suppose a + a - 28 = 0. Let j = x + a. Calculate the remainder when j is divided by 9.
5
Let z = 93 + -91. Suppose -2*u + 4 + 4 = 0, z*g - 4*u + 4 = 0. Calculate the remainder when 2 - 1/((-3)/75) is divided by g.
3
Suppose -27*s + 60*s = 8217. Calculate the remainder when s is divided by 28.
25
Suppose 5*v + 1220 = 5*a, 17*a - 16*a - 2*v - 244 = 0. Suppose -2*i = -q + 70, 5*i + 30 + a = 4*q. Calculate the remainder when 192 is divided by q.
60
Suppose 0 = 44*c - 1070 - 1042. What is the remainder when (2/(-6))/(4/(-2256)) is divided by c?
44
Suppose -3*f + 3*o = -684, 24*o - 330 = -2*f + 35*o. Calculate the remainder when f is divided by ((-2)/1)/(4/(-38)).
14
Suppose -2*p = 4*f - 2870, -41*p + 3575 = 5*f - 36*p. Calculate the remainder when 2168 is divided by f.
8
Suppose -1537 = -127*j + 74*j. Calculate the remainder when 781 is divided by j.
27
Suppose -v = v + 102. Let m be 0 + 2 + -82 + 11. Let q = v - m. What is the remainder when 49 is divided by q?
13
What is the remainder when (-268)/(-5) + ((-390)/(-50))/(-13) is divided by (-4)/14 + 39/(-63)*-15?
8
Let o = -5435 + 5571. Suppose -143 = 3*f - 434. Let h = o - f. What is the remainder when 232 is divided by h?
37
Suppose 47*s - 42*s + 20 = 0, 2*n - 2*s - 86 = 0. What is the remainder when 331 is divided by n?
19
Suppose 4*v - 908 = z, 4*v = 9*v + 2*z - 1122. Calculate the remainder when v is divided by 190.
36
Let d(f) = f**3 + 11*f**2 - 9*f + 34. What is the remainder when d(-11) is divided by 62?
9
Suppose -98*m + 12393 = 1123. Calculate the remainder when 908 is divided by m.
103
Let q = -7342 - -7371. Calculate the remainder when 413 is divided by q.
7
Let p(w) = 406*w + 56. Let b be p(-4). Let j = 1583 + b. Suppose 52 = -0*d + 2*d. Calculate the remainder when d is divided by j.
11
Let t(s) = -s**2 - 15*s - 46. Let w be t(-11). Calculate the remainder when 92/((-5)/10*w) is divided by 12.
8
Let v = -808 - -823. Let c = -47 + 71. Suppose 0 = -2*r + 4*k + c, 5*k = -0*r + 2*r - 26. Calculate the remainder when v is divided by r.
7
Suppose 5*o - 7893 = -6678. Calculate the remainder when o is divided by 27.
0
Suppose 6*d = 673 - 199. Let h = d + -15. What is the remainder when h is divided by 13?
12
Suppose c - 7646 = -4*v, 4*c - v = -2147 + 32833. What is the remainder when c is divided by 32?
22
Suppose 58 = 2*n - 3*l, -3*n + 56 + 1 = 3*l. Calculate the remainder when 388 is divided by n.
20
Suppose 5*h - 3*t = -8*t + 2345, -5*t = -20. Suppose -680 = -4*l + u - 61, -u = -3*l + h. Calculate the remainder when l is divided by 12/66 + 854/22.
37
Suppose 3*z + 9*z - 3108 = 0. What is the remainder when z is divided by 38?
31
Let a(g) = g**3 - 15*g**2 + 31*g - 23. Let c be (-1)/(-5) - (-192)/15. Let v be a(c). Calculate the remainder when (4 + -2)*(-2 - v/(-4)) is divided by 17.
0
Suppose 465*m + 766*m - 20927 = 0. Let t(q) = 19*q**2 - 2. What is the remainder when t(-3) is divided by m?
16
Let g = -1 + 4. Calculate the remainder when g is divided by 34969/11781 - 6/(-189).
0
Let u(w) be the second derivative of w**4/12 - 29*w**3/6 - 9*w**2 - 56*w. What is the remainder when u(37) is divided by 35?
33
Calculate the remainder when (225/54)/(-12 - 1311/(-108)) is divided by -2 + (1 - -9) + -1.
2
Suppose 2*z + 20 = 126. Let p be (1 + -1 + -1)*-23. Let c = 32 - p. Calculate the remainder when z is divided by c.
8
Let v = 106 + -127. Let j(z) = -z + 2. Calculate the remainder when (v - -1)*(-87)/145 is divided by j(-6).
4
Suppose 5*y = y + 188. Suppose 50*v - 1155 = -27*v. Calculate the remainder when y is divided by v.
2
Suppose 2*b - b = 3. Suppose -137 = -b*f + 5*p, -5*f + 4*p + 207 = p. Let o = -37 + f. What is the remainder when 3 is divided 