 5*l = -30, 350*r - 36 = 345*r + l. What is the remainder when 31 is divided by r?
3
Let p(s) = -41*s + 638. What is the remainder when p(-25) is divided by 49?
46
Let r(g) = -g**3 + 7*g**2 - 7*g - 8. Let i be r(3). Suppose y = 2*q - 233, -2 = -3*y + i. Calculate the remainder when q is divided by 17.
16
Let g be -4*12/8 - -8. Suppose t = 2, g*b - 31*t - 6 = -29*t. Calculate the remainder when 114 is divided by b.
4
Suppose -12*d + 177*d - 310292 - 132733 = 0. What is the remainder when d is divided by 894?
3
Let q be ((-12)/(-42))/((-2)/(-56)). Suppose 2*n - q*s - 77 = -13*s, -260 = -5*n + s. Calculate the remainder when n is divided by 14.
9
Let c be ((-51)/68)/(2/(-8)). Let k(r) = -c*r - r + 11 + 3*r + 2*r. What is the remainder when 67 is divided by k(6)?
16
What is the remainder when (-10 - -11)/((-1)/(-2797)) is divided by 187?
179
Suppose 0 = -31*d - 36*d + 6834. Calculate the remainder when 248 is divided by d.
44
Let l = -55 - -58. Suppose -2*a - l*a + 510 = 4*b, 3*a - 289 = b. Let g = a + -41. Calculate the remainder when g is divided by 17.
6
Let a(v) = v**3 - 10*v**2 + 26*v - 15. Let m be a(7). Let s(d) = 2*d**3 - 41*d**2 + 21*d + 9. What is the remainder when 143 is divided by s(m)?
27
Let k be 3 - (31164/(-10) + (-2)/(-5)). Suppose -k = -29*w + 2159. Calculate the remainder when w is divided by 63.
56
Suppose 0 = 5*q + 3*m - 1061 - 294, q + 2*m = 278. Suppose 31*v - 166 = q. Calculate the remainder when 23 is divided by v.
9
Let i = 9597 + -9591. Suppose 2*o = 3*o - 28. Calculate the remainder when o is divided by i.
4
Suppose 2*x - 251 = -2*y + 119, 2*x = -4*y + 738. Calculate the remainder when 238 is divided by y.
54
Let o = 152 + -156. What is the remainder when 179 is divided by 48/(-10)*(-6 + 6/o)?
35
Suppose -77 = 5*c - 607. Let v be ((-61)/3)/((-6)/18). Suppose v = 5*l - p, 2*l - 23 - 2 = p. What is the remainder when c is divided by l?
10
Suppose 0 = -25*a + 30*a - 10. Calculate the remainder when (-7)/35 + (-512)/(-10) is divided by (5 + (-25)/a)*18/(-5).
24
Suppose 27*g + 1412 = 2384. What is the remainder when 2009 is divided by g?
29
Let u(a) = -a**2 + 80*a + 641. Calculate the remainder when 184 is divided by u(-7).
24
Let z(u) = 1121*u - 8. Let t be z(7). Let i be t/54 + 3/(-18). Let n = i - 59. What is the remainder when n is divided by 9?
5
Let z = -323 + 327. Suppose -4*v - 12 + 2 = -2*h, -z*h + 2*v + 32 = 0. Calculate the remainder when (1/(-2))/(1/(-52)) is divided by h.
8
What is the remainder when 237 + ((-84)/196 - (-59)/7) is divided by 31?
28
Let x(l) = -7*l - 83. Let q(g) = g - 2. Let p(s) = -6*q(s) - x(s). Calculate the remainder when p(32) is divided by 19.
13
Let u(r) = -2*r**2 - 10*r + 210. Calculate the remainder when 696 is divided by u(8).
0
Let m(d) = 316*d**2 + 240*d + 241. Calculate the remainder when m(-1) is divided by 385/5 - (0 - 3).
77
Suppose 42170 = 12*d + 39122. Let q be ((-14)/6)/((-2)/132). Suppose d = 4*h - q. Calculate the remainder when h is divided by 21.
18
What is the remainder when 207 is divided by 88/(-55)*5 - 204/(-3)?
27
Let t = 4 + -9. Let p = -39 - -36. What is the remainder when 1590/45 + t/p is divided by 10?
7
Let s = 2 - 0. Let k = -359 - -378. Calculate the remainder when (0 - -1 - s) + 56 is divided by k.
17
Let n(i) = 11 - i + 6 - 19 + 0*i. Let j be n(-6). Suppose -3*o + 5*k = -5*o + 33, j*o = -5*k + 61. What is the remainder when 22 is divided by o?
8
Let s be (-4)/8*4 - 28. Let w be (s/(-20))/((-6)/(-8)). Calculate the remainder when 55 is divided by -1 + 9/6 - (-57)/w.
26
Let x = 1402 - 1315. Calculate the remainder when 96 is divided by x.
9
Suppose -v - 2*y = -74, -127*y + 130*y = 5*v - 461. What is the remainder when 177 is divided by v?
1
Suppose 5*a = -4*q + 1344, 2*a - 57*q - 558 = -62*q. What is the remainder when a is divided by 19?
17
Let k(b) be the second derivative of b**3/3 - b**2/2 + 5*b. Let t be k(8). Suppose -6*v = -9*v + t. Calculate the remainder when v is divided by 3.
2
Let p = 242 + -46. What is the remainder when p is divided by -2 + (-3 + 72)*1?
62
Suppose i + 1048*o - 1051*o - 130 = 0, 5*i - 4*o - 584 = 0. What is the remainder when i is divided by 63?
49
Suppose -602*o + 606*o = 2*c - 294, -5*c + 680 = o. Calculate the remainder when 299 is divided by c.
25
Let b(r) = 266*r + 456. Calculate the remainder when b(-1) is divided by 16.
14
Suppose -10 = -2*k - 0*k. Let b(h) = 882286*h - 882283*h + 4 - 3*h**3 + 2*h**3 + 5*h**2. Calculate the remainder when 35 is divided by b(k).
16
Let u be 5/60*6 + (-291)/(-6). Calculate the remainder when 63 is divided by (190/(-35) - (-4)/(-7)) + u.
20
Suppose -70*a - 386*a + 510264 = 0. Calculate the remainder when a is divided by 45.
39
Suppose -3 + 12 = 3*w. Suppose 2*j + w*s + 5 = 0, -s - 7 = 3*j + 4*s. Calculate the remainder when ((-248)/6)/(j/6) is divided by 13.
10
Let w(l) = -3*l + 20. Let m be w(-10). Calculate the remainder when (-3)/((-18)/(-24))*m/(-4) is divided by 13.
11
Suppose 2*b - 3*h - 1800 - 1204 = 0, 7493 = 5*b + h. What is the remainder when b is divided by 15?
14
Let i be ((-8)/(-3))/(116/174). Suppose -3*x = -i*x - 4*s + 445, 5*s = -x + 444. What is the remainder when x is divided by 10?
9
Suppose 9*p - 346 = -5*v, -8*v + 10*v = -3*p + 115. Calculate the remainder when 1050 is divided by p.
36
Suppose -17*f = -4662 - 7748. Let k = f + -443. Calculate the remainder when k is divided by 48.
47
Suppose -31*t + 720 = -11*t. Suppose -4*q + 33 = 5*n - 42, 3*q = 3*n + t. Calculate the remainder when q is divided by 8.
7
Suppose 917 = 4*c + 3*a - 438, -339 = -c - a. What is the remainder when c is divided by 55?
8
What is the remainder when (-3156)/5*(-785)/628 is divided by 262?
3
Suppose -840 + 9360 = 6*c. What is the remainder when c is divided by 130?
120
Suppose 20 = 2*l - 4*t, -4 = -l - t - 0. Suppose -137 = 86*j - 91*j + 2*f, -51 = -2*j - 3*f. What is the remainder when j is divided by l?
3
Let y(c) = 9*c - 2. Suppose 0 = -5*r + 3*t + 453, -3*r - 170 = -5*r + 4*t. What is the remainder when r is divided by y(2)?
13
Let u = 30 - 17. Let z be 2/4 + 188/8. Suppose 36*w = 39*w - z. Calculate the remainder when u is divided by w.
5
What is the remainder when (421 - 1) + 120/(-140)*7 is divided by 90?
54
Suppose -254*v + 761086 + 445668 = 0. Calculate the remainder when v is divided by 15.
11
Let l be ((-6)/(-9))/((10/555)/1). Suppose -5*q + l = 27. Suppose -45 = -h - q*h. What is the remainder when 103 is divided by h?
13
Let l = 156 - 128. Calculate the remainder when 206 is divided by (96/21)/(8/l).
14
Suppose s - 44 = -3*o, -4*o = -0*o + 20. Suppose 11*d - 8 = 7*d, 4716 = 5*a + 3*d. Calculate the remainder when a is divided by s.
57
Let d(h) = -h**3 + 28*h**2 + 31*h - 96. Let j(o) = -o + 1. Let q(r) = -d(r) - j(r). What is the remainder when 257 is divided by q(29)?
59
Let i = 7738 - 6841. What is the remainder when i is divided by 154?
127
Suppose -16*s - 5*w - 42 = -15*s, 4*s + 3*w + 117 = 0. What is the remainder when 86 is divided by (36/s)/((0 - 1)/6)?
6
Let o = 9860 - 9808. What is the remainder when 258 is divided by o?
50
Suppose a + 3*y - 789 = -2*a, -2*a + 540 = 4*y. Calculate the remainder when a is divided by 5.
1
Let c = -42 - -146. Suppose 0 = 4*f - 5*s - 206, -4*s + s = -2*f + c. Let p = -2025 + 2030. Calculate the remainder when f is divided by p.
4
Calculate the remainder when (-18644)/(-26) - (-86)/(-1118) is divided by 234.
15
Suppose 3*l = -21, -x + 1021 = -6*l - 50. What is the remainder when x is divided by 120?
69
Let q be 4/(-5)*(-200)/(-16). Let h be 6*(q/15 + 1). Calculate the remainder when (0 - h/(-2))/((-8)/(-328)) is divided by 22.
19
Suppose 3*f + 4*h = -32 + 13, 2*f = -h - 1. What is the remainder when 5912 is divided by f?
2
Let y(g) = 70*g**2 + 89*g + 556. What is the remainder when y(-7) is divided by 91?
87
Suppose -4*v - 9191 = -11*v. Calculate the remainder when 2633 is divided by v.
7
Let f(h) = -h**3 - 21*h**2 + 23*h + 22. Let g be f(-22). Suppose 0*s - 3*s + 37 = -2*m, g = 2*s - 4*m - 14. What is the remainder when 88 is divided by s?
13
Let b = -2965 - -3163. What is the remainder when b is divided by 30?
18
Suppose 12888 = -3*j - 1710. Calculate the remainder when 2 + j/(-26) - (-10)/(-65) is divided by 19.
18
Let w(r) = 7*r**2 - 8*r + 