Suppose -41*c + 38 = -40*c. Calculate the remainder when c is divided by d.
12
Let c = -8088 + 10580. Calculate the remainder when c is divided by 353.
21
What is the remainder when 2*((-90060)/24)/(-5) is divided by 31?
13
Let x be (20/(-15))/((4/(-2))/6). Suppose 4*w - 344 = -x*w. What is the remainder when w is divided by ((-8)/2 - -3)/((-3)/33)?
10
Suppose k + 32*j - 136 = 33*j, 0 = 3*k + 3*j - 402. What is the remainder when 3102 is divided by k?
132
Let h = 107 - 105. Suppose -25 + 29 = -h*k. Let v = k + 10. What is the remainder when 23 is divided by v?
7
Let p = 77 + -16. What is the remainder when p is divided by (-7 - -6)/(2/24 - (-5)/(-15))?
1
What is the remainder when 699 is divided by (-16 - 224/(-16)) + 11?
6
Let c(j) = -13*j - 46. Let g be c(5). Let s = g - -122. What is the remainder when 107 is divided by s?
8
Let o(v) = -v**2 + 128*v - 2267. Calculate the remainder when 179 is divided by o(23).
31
Let n(k) = 6*k + 57. Let g be n(-9). Suppose 0 = -3*v + y + 4*y + 26, 0 = -g*y - 12. Suppose -v*r - r = -48. What is the remainder when 61 is divided by r?
13
Calculate the remainder when (1422/(-108) - 4/(-6))*(-528)/30 is divided by 173.
47
Let m be 2 + 11 - (-9 - -6). Let x(c) = c**2 + 10*c + 37. Let f be x(-5). Let r = f + m. Calculate the remainder when r is divided by 10.
8
Let y = 75 + -70. Suppose y*c - 54 + 19 = -5*x, c = 5*x - 47. Suppose -x*a + 473 = -256. What is the remainder when a is divided by 28?
25
Let c(h) = h**2 + 9*h - 22. Let j be c(8). Suppose -4*t + j = -2*o, 0 = 2*o - 6*o + t - 256. Let d = -38 - o. Calculate the remainder when 107 is divided by d.
26
Let k be ((-3)/(-4))/(1/32). Let j = -21 + k. Suppose -12 = -4*d, 4*m - j*d = m + 66. What is the remainder when m is divided by 9?
7
Let u be (-80)/(-6) + (-14)/6 + 3. Suppose 6 = -u*d + 17*d. Suppose 5*m - d*g = 74, 3*m + 5*g - 43 = -11. Calculate the remainder when 64 is divided by m.
8
Suppose -49*p = 33*p - 44527 + 9923. What is the remainder when p is divided by 18?
8
Suppose -19087 = -58*v - 64849. Let a = v + 859. What is the remainder when 152 is divided by a?
12
Let b(l) = 4*l**3 + 4*l**2 + 3*l + 8. Let k be b(4). Let h be (2 - 16/10)/(1/k). Suppose -3*r + 65 = -h. What is the remainder when r is divided by 17?
16
Let v be (3/1)/(198/30 + -6). Suppose 2 = y - 4*p - v, 5*y - 83 = -4*p. What is the remainder when y is divided by 9?
6
Let m = 2707 - 2579. Calculate the remainder when 249 is divided by m.
121
Suppose -y - 122 = 5*x - 33, 2*y + 192 = 4*x. Suppose 0 = 5*h - 18 - 2. What is the remainder when 93 is divided by y/(-3) - h/(-6)?
29
Suppose -23*o = -8*o - 47205. What is the remainder when o is divided by 50?
47
Suppose 4*f - 30*i = -35*i + 2788, 5*f = -4*i + 3476. Calculate the remainder when f is divided by 100.
92
Let i(g) = 7*g**2 - g + 2. Suppose -163 = -7*z + 124. Let t = -39 + z. What is the remainder when 81 is divided by i(t)?
25
Let a(p) = 3*p**2 - 5*p - 29. Let h(b) = 5*b**2 - 11*b - 57. Let x(v) = 7*a(v) - 4*h(v). What is the remainder when 53 is divided by x(-7)?
9
Suppose 28 = -5*i - 7. Calculate the remainder when i/(7 - 0)*-7 is divided by 4.
3
Suppose 5*h - 4*t = 394, -468*h + 232 = -465*h + 2*t. What is the remainder when 12244 is divided by h?
76
Let b = 724 + -330. Suppose -127*q + 125*q - 4*s = -36, -q = -3*s - 3. Calculate the remainder when b is divided by q.
10
Let h(v) = 2*v**3 + 64*v**2 + 88*v - 88. What is the remainder when h(-29) is divided by 31?
19
Suppose 99 = 3*s + 12. Suppose 16*u - 2*u = 70. What is the remainder when (-3 - u/(-10))/(3/(-138)) is divided by s?
28
Let r(u) = u**3 + 4*u**2 - 2*u + 1. Suppose -88 = -3*o + 7*a, 5*o + 1090*a - 210 = 1089*a. What is the remainder when o is divided by r(-4)?
5
Let y(m) = 7*m**2 - 4*m + 2. What is the remainder when (-4)/3*21450/(-440) is divided by y(2)?
21
Suppose 0 = g - 14*s + 11*s - 216, -5*g + 1120 = -5*s. What is the remainder when g is divided by 46?
44
Let i = 6 + -1. What is the remainder when 5 is divided by (1*6)/1 - (i + -4)?
0
Let y be (1/1 + -2)/(7/(-28)). Suppose -5*u + u = -3*n - 148, 0 = y*u - 5*n - 140. Calculate the remainder when u is divided by 22.
18
Let i(a) = -a**3 + 12*a**2 + 26*a + 83. What is the remainder when i(13) is divided by 120?
12
Let n(c) be the third derivative of c**6/120 + 13*c**5/60 - 11*c**4/8 + 4*c**3/3 - 4*c**2 - 4*c. What is the remainder when 154 is divided by n(-15)?
48
Suppose -10*c + 49*c = -156. Calculate the remainder when 158/(1*(-4)/c + 1) is divided by 9.
7
Suppose 3*r = 5*o + 7 + 96, 4*r = 3*o + 119. Suppose 0 = -r*u + 4931 + 2583. Calculate the remainder when u is divided by 58.
57
Suppose -5*g - 342 = -3*n, 2 = 5*g - 13. Let w(m) = m + 47. Suppose 3*l + 4*b = -25, -2*l + 5*b = 7*b + 16. What is the remainder when n is divided by w(l)?
39
Suppose 14*d - d = 11466. Suppose 0 = 2*z - 4*i - 448, 4*z + 0*i - i = d. Calculate the remainder when z is divided by 13.
12
Let x be (-2170)/(-75)*39 + 6/10. Let n = x - 795. Calculate the remainder when n is divided by 67.
66
Suppose -80*w + 20 = -76*w, 4*r - 359 = -3*w. What is the remainder when 163 is divided by r?
77
Suppose -5*s - c + 727 = 0, 3*c - 268 + 103 = -s. What is the remainder when 205 is divided by s?
61
Suppose -993 = -30*k + 2923 - 616. What is the remainder when 659 is divided by k?
109
Let z(y) = y**2 - 10*y + 18. Let v(b) = b**2 + b - 1. Let j(h) = 2*v(h) + z(h). Calculate the remainder when 148 is divided by j(3).
15
Let k = 1293 + -527. What is the remainder when k is divided by 96?
94
Let p(x) be the first derivative of x**3/3 + 13*x**2/2 - 13*x - 2. Let i = -2408 - -2393. What is the remainder when p(i) is divided by 5?
2
Calculate the remainder when (-3 - 177/(-9))/((-180)/(-43470)) is divided by 33.
32
Let v = -24 - -65. Suppose 1177*w - 1161*w - 2608 = 0. Calculate the remainder when w is divided by v.
40
Calculate the remainder when 1271 is divided by ((-6)/(-10) + 0)/((-12 + 10)/(-50)).
11
Let t = -1235 + 1270. What is the remainder when 489 is divided by t?
34
Let d(x) = -2*x**2 - 13*x - 14. Let p be d(-4). Suppose -v = -p*v + 2385. What is the remainder when v is divided by 80?
77
Suppose 273*l - 2220 = -y + 268*l, 2*y = 5*l + 4470. Calculate the remainder when y is divided by 7.
4
Suppose 3*p + 315 = -2*h, -9*p + 7*p - 6 = 0. Let o = 237 + h. Calculate the remainder when o is divided by 44.
40
Suppose 4*v - w = -24, 5*w - 23 - 22 = 5*v. Let j(l) = -l**3 - 12 - 4 + 4*l + 3*l**2 - 3*l**2 - 3*l**2. Calculate the remainder when 65 is divided by j(v).
9
Let k be (6/39 - (-1476)/39)/1. Let y = k + -16. Suppose -y*r + 20*r = -70. Calculate the remainder when 68 is divided by r.
33
Suppose 0 = 5*o - 103 - 47. Let c(h) = h + 11. Let f be c(-13). Calculate the remainder when o is divided by (-31)/f - 6/(-12).
14
Let r be (-3)/((-7 - -8)*-1). Suppose -5*g + 8 = -r*g, -g = -5*p + 56. What is the remainder when 59 is divided by p?
11
Let x = 3062 + -3041. What is the remainder when 2854 is divided by x?
19
Let v(k) = 223*k - 4601. Calculate the remainder when 186 is divided by v(21).
22
Let f be (-4 - -2) + 28/7. Calculate the remainder when (-158)/(-12) - 10/60 is divided by (7/(-14))/(f/(-20)).
3
Let b = -18 + 31. Suppose -103 + 25 = -b*w. Calculate the remainder when 11 is divided by w.
5
Let x be (-4 + 6)/(0 - 4/(-6)). Suppose -4*v + 407 = 5*h + 8, 5*v - 545 = x*h. Let b = 115 - v. What is the remainder when 87 is divided by b?
6
Suppose 3*u + q - 266 = 0, 0 = -u - 0*u - 5*q + 84. What is the remainder when 385 is divided by u?
29
Let s be (2/(-2) - -2)*5. Suppose 0 = 4*x - 20, -x + s = t - 3. Suppose 68 = -t*p + 269. What is the remainder when p is divided by 14?
11
Suppose -20*h - 252 + 1192 = 0. What is the remainder when 140 is divided by h?
46
Suppose -756*a = -750*a - 1476. Suppose -5*f = -5, -p + 2 = 2*f - 13. Calculate the remainder when a is divided by p.
12
Let p = 244 - 227. Let s(w) = w**3 - 15*w**2 - 24*w - 18. What is the remainder when s(p) is divided by 22?
20
Suppose o + 54 = 2*w - 193, 0 = -5*w + 4*o + 613. Calculate the remainder when w is divided by 115.
10
Suppose -28 = -3*g + 14. Let f = 7731 + -7719. Suppose f*x + 192 = g*x. What is the remainder when x is divided by 25?
21
Suppose -5*c + 56 = -c. Let y(a) = 38*a**2 + 13 + 18