. Suppose -q - k*z = -32, 2*q - z - 42 = 22. What is the remainder when (q/(-14) - -2) + (-128)/(-7) is divided by 6?
0
Let c = 91 - 44. Let w = c + -44. What is the remainder when 25 is divided by (-1914)/(-110) - w/(-5)?
7
Suppose -4*g = 2*r - 908, 14*g - 17*g + 2*r = -660. Calculate the remainder when 1795 is divided by g.
3
Let l(g) = g**2 + 9*g - 15. What is the remainder when 26 - 27/(-9) - -3 is divided by l(-12)?
11
Calculate the remainder when (27/15)/(29711/1650 - 18) is divided by 10.
0
Let z(a) = -6*a - 374. Let i be 76/12 + 2/3. Suppose -3*u - 3*v = -i*u + 101, -v = -5. What is the remainder when u is divided by z(-63)?
1
Calculate the remainder when (-14 - 559/(-39))/(1/966) is divided by 66.
58
Suppose -101*v - 1868 = -84*v + 2*t, -4*t + 114 = -v. Let u(c) = -c**2 + c - 124. Let f be u(0). Let b = v - f. What is the remainder when b is divided by 4?
2
What is the remainder when 34/(-221) - 6568/(-104) is divided by 22?
19
Let l = -606 - -618. Suppose l*i = 28*i - 1568. Suppose 5*x + 27 = 157. What is the remainder when i is divided by x?
20
Let n(p) = p**3 + 22*p**2 + 22*p + 123. Calculate the remainder when 505 is divided by n(-21).
97
What is the remainder when 246 is divided by (6*10/(-20))/((-2)/(350/15))?
1
Suppose -76 - 69 = -5*a + 5*n, 3*n = a - 21. Calculate the remainder when a is divided by ((-12)/2)/((-4)/(-2) - 3).
3
What is the remainder when 7109 is divided by ((-357)/(-85))/(9*4/240)?
25
Suppose 20 = 4*b + k, 3*k - 5*k = 0. Suppose 0 = h - a - 33, -4*h = -b*a - 116 - 19. What is the remainder when h is divided by 27?
3
Suppose -2*y = y + 531. Let z = -70 - y. What is the remainder when z is divided by (-72)/(-324) + 241*(-2)/(-18)?
26
Let g(f) be the first derivative of f**3/3 - 23*f**2/2 - 2*f + 41. What is the remainder when g(-7) is divided by 15?
13
Suppose 9 = 21*s - 24*s. Calculate the remainder when 53 - (-1 - s*(-20)/(-12)) is divided by 20.
9
Let d be (-2 - -1) + (-1 - -4). Suppose 5*p = 5*g + 10, -7*p + 4 = -6*p + g. Suppose d*c - 295 = -p*c. Calculate the remainder when c is divided by 15.
14
Let q(p) = -p**3 + 7*p**2 - 5*p + 4. Let a be q(6). Suppose -13 = -i - a. What is the remainder when 9 is divided by i?
0
Let n(k) = k**2 + 13*k + 24. Let w be n(-11). Suppose w*x = -3*t + 209, 4*t - 47 = -4*x + 229. Calculate the remainder when t is divided by 24.
23
Let j(l) = -2*l**3 - 6*l**2 - 2*l - 1. Suppose -3 = 2*x - 21. Let v(r) = r**3 - 8*r**2 - 9*r + 11. Calculate the remainder when j(-4) is divided by v(x).
6
Suppose -15028 = 193*i - 160*i - 79048. Calculate the remainder when i is divided by 18.
14
Suppose -29 - 50 = -u - 2*n, 0 = 5*n + 25. Calculate the remainder when 138 is divided by u.
49
Let d be ((-51)/15 - -3)*(-6 - -1). Suppose 2*n = -d*n, 2*n + 18 = 3*f. Suppose -f*l + 12 = -2*l. What is the remainder when 11 is divided by l?
2
Let u(l) = 6*l**2 - 10*l + 23. Let n be u(17). Suppose 11*j - 327 - n = 0. What is the remainder when j is divided by 59?
56
Suppose -6752 = -3*q - 13*q. Calculate the remainder when q is divided by (107/4)/(30/120).
101
Calculate the remainder when (-456)/380 + (-5418)/(-15) is divided by 92.
84
Let i = -88 - -162. What is the remainder when i is divided by (-19)/(6 + 366/(-54) - 12/54)?
17
What is the remainder when 4*27420/560 + (-1)/(-7) is divided by (-469)/(-7) + 1 + -2?
64
Suppose 0 = 2*o - o - 1. Suppose 3*g - 2*t - 24 - 49 = 0, -4*g = 3*t - 86. Calculate the remainder when -3*o/6*-136 is divided by g.
22
Suppose -366*s + 360*s = -12. Suppose -4*d + 20 = 4*o, o - s*d = 3*d + 17. What is the remainder when 74 is divided by o?
4
Let v(j) = -4*j**3 + 2*j**2 - 3*j + 3. Suppose 2*i = -2*b + 60, -3*i + 65 = 4*b - 20. What is the remainder when v(-3) is divided by i?
33
Suppose -8*m + 24 = 3*h - 11*m, -5*m = 4*h - 32. What is the remainder when 635 is divided by h?
3
Let u be 1 + 2 - (-3 + 4). Suppose -r + 42 = u*r. Let p(y) = -2*y**2 - 85*y + 2000. What is the remainder when p(-59) is divided by r?
11
Let r be ((-6)/10)/(8/40) + 15. Let g(v) = v + 20. Let s(z) = -4*z - 41. What is the remainder when g(r) is divided by s(-13)?
10
Suppose -11*z + 103191 = 22*z. Calculate the remainder when z is divided by 34.
33
Let t(f) = -f**3 - 32*f**2 - 40*f - 160. Suppose -i + m + 2*m + 41 = 0, -3*m - 123 = -3*i. What is the remainder when t(-31) is divided by i?
37
Let l = 7470 - 6121. What is the remainder when l is divided by 447?
8
Calculate the remainder when 265 is divided by 2184/35*180/48.
31
Suppose 49*q - 2262 = -1480 + 2354. Suppose 5*u - 30 = 4*n, -35 = u - 4*u - n. What is the remainder when q is divided by u?
4
Calculate the remainder when 102/(-85)*1185/(-9) is divided by 44.
26
Suppose 996*z + 904*z - 2682 = 1602*z. Calculate the remainder when (1/2)/((-1)/(-350)) is divided by z.
4
What is the remainder when 818 is divided by 3/(-4) + 0 - 168/(-224) - -18?
8
Let l(k) = k**3 - 3*k**2 - 19*k + 7. Let a be l(-6). Let w = a + 285. What is the remainder when 318 is divided by w?
72
Suppose 83*x - 332 = -2*p + 87*x, -3*x = -p + 165. What is the remainder when 35614 is divided by p?
166
Let d be ((-22)/88)/(2/(-80)). Let u(v) be the first derivative of 2*v**3/3 - 8*v**2 + 14*v + 2. Calculate the remainder when u(d) is divided by 20.
14
Let l = -29 + 104. What is the remainder when l is divided by 45/(-25)*(-7 + -8)?
21
Suppose 20*w = 19*w + 34. Suppose -5*x - 10 = 0, u + 4*x + w = 2*u. Suppose 0 = 3*b - 79 - 149. What is the remainder when b is divided by u?
24
Let r(l) = -17*l**3 - 4*l**2 - 62*l - 33. Calculate the remainder when r(-6) is divided by 15.
12
Let u(a) = 4*a**2 + 43*a + 250. Let z be u(-26). Suppose 0 = -z*l + 1832*l + 112. Calculate the remainder when 161 is divided by l.
21
Suppose 2*h + 205 = 7*h - 4*q, 165 = 4*h - 3*q. Suppose -174 - h = -3*b. Suppose b*f - 11 = 72*f. What is the remainder when 109 is divided by f?
10
Let j(g) = 6*g - 44. Suppose 23 = 2*l - i, -3*l + 2*i + 52 = -3*i. Calculate the remainder when 138 is divided by j(l).
8
Suppose 6*a + 33 = -4*m + 5*a, 34 = -4*m - 2*a. Let j be -1 + m/(-14) - (-5805)/315. Suppose -23*n + 295 = -j*n. What is the remainder when n is divided by 6?
5
Let i(y) = 3*y**2 - 4*y + 9. Suppose 3074 = q + 2908. What is the remainder when q is divided by i(3)?
22
Suppose 111*u - 76*u + 192*u - 2270 = 0. Calculate the remainder when (3/(-6))/((-1)/20) is divided by u.
0
Let s be (-1)/5 + (-95)/25. Let m(q) = q**3 - 6*q**2 + 8. Calculate the remainder when (6 + 26/s)*-58 is divided by m(6).
5
Let a(m) = -2*m**2 + 85*m - 393. Let b = -61 - -88. What is the remainder when a(8) is divided by b?
24
Suppose f = 2*f - 3. Suppose -f*i - 18 + 111 = 0. What is the remainder when i is divided by (2/(-3))/((4408/570)/(-58))?
1
Let m(r) = 4*r - 94. Let j be m(24). What is the remainder when ((-19)/(-19))/(j/166) is divided by 29?
25
Let m(v) = -4*v + 150. Let q be m(30). Suppose -91*l = -90*l - q. What is the remainder when 80 is divided by l?
20
Let k(d) = -d**3 - 55*d**2 - 44*d + 676. Calculate the remainder when 2445 is divided by k(-54).
133
Suppose -2*v = 2*d - 2, 5*d - 11*v = -13*v + 17. Suppose 4*t + 0*t = -m + 64, t + 4*m - 1 = 0. Calculate the remainder when d*-3*(-195)/25 is divided by t.
15
Let h(o) = 12*o - 1. Let x be h(1). Let u = x - 8. Let l = -90379 - -90382. Calculate the remainder when u is divided by l.
0
Suppose -1226 = -33*y + 985. Calculate the remainder when 733 is divided by y.
63
Let k be 1 - (-1 - (-1)/(-1)). Let p(t) = -t**3 + 7*t - k - 5*t + 12*t**2 + 13*t - 2*t**2. Calculate the remainder when p(11) is divided by 11.
8
Suppose -4*f + 4 = 2*t, -3*f - 2*f = 3*t - 7. Suppose -8*c + t*c + 244 = 0. Let h = c + -23. What is the remainder when h is divided by 8?
6
Let d = 14 - 10. Let m be 265/(-106)*5/(75/(-24)). Suppose -2*v = -d*v + m. Calculate the remainder when 13 is divided by v.
1
Let o(s) = -1261*s - 8764. Calculate the remainder when 1251 is divided by o(-7).
54
Suppose 0 = 37*c + 7*c - 308. Suppose 0 = 2*s + 2*s - 244. Calculate the remainder when s is divided by c.
5
Let q(t) = 4*t**2 - 47*t - 556. Calculate the remainder when q(32) is divided by 24.
20
Let v be (-217)/(-14) - 6/(-4). Suppose -r + v = 3*q, -4*r + 20 = 2*q + r. Suppose -500 = -q*g - 105. Calculate the remainder when g is divid