 5*u - 2*u, 3*u - 4*r - 19 = k. What is the remainder when u is divided by 7?
6
Let i(m) = m**3 + 4*m**2 + 8. Let h(q) = -q - 23. Let o be h(-19). Calculate the remainder when 30 is divided by i(o).
6
Let y(f) be the third derivative of -f**6/120 + 2*f**5/15 - f**4/2 + 2*f**3 + 21*f**2. What is the remainder when (-33)/(0/(-1) + -1) is divided by y(6)?
9
Suppose 12*j = 1233 + 99. Suppose -4*x = -26 - 86. Calculate the remainder when j is divided by x.
27
Suppose -i - i - 6 = 0, 3*d - 3*i = 87. Let h(f) = 4 - 2*f + 14*f**2 + 5 - 15*f**2. What is the remainder when d is divided by h(0)?
8
Let o(j) = -9*j**3 - 5*j**2 - 4*j - 2. Let u(k) = -k**3 - k**2 - k. Let i(f) = -o(f) + 6*u(f). Calculate the remainder when 5 is divided by i(1).
1
Let u = 52 - 11. Suppose u = 5*z - 4*x, 2*z + 7*x + 10 = 2*x. Suppose -z*q + q - w = -128, 0 = -3*w. Calculate the remainder when q is divided by 17.
15
Suppose -2*w + 126 = -4*i, -5*w + 3*w - 4*i + 126 = 0. Suppose -w + 6 = -3*h. Calculate the remainder when 55 is divided by h.
17
Let u be 298/(-3 + 5) + -1. Suppose 62 + u = 6*i. Calculate the remainder when i is divided by ((-24)/10)/((-1)/5).
11
Let a(i) = 2*i**2 + 21*i + 15. Suppose 4*v + 20 = 0, -2*v = -4*x + 2*v - 20. Let y be a(x). What is the remainder when 24 is divided by (27/15)/(y/25)?
6
Suppose 2*y - 953 - 77 = -5*u, u = -y + 203. Calculate the remainder when u is divided by 53.
49
Let b = -156 + 244. Let w = b + -43. What is the remainder when w is divided by 12?
9
Suppose 0*u - 2*u - 5*m = -7, 2*u - 47 = 3*m. Calculate the remainder when 77 is divided by u.
13
Suppose -6*w = -2*w - 64. Suppose 0*o - w = -o. What is the remainder when o is divided by (5 + 3 + -6)*3?
4
Let j be (0 + 1)/(5/(-455)). Let w = 159 - j. Suppose 4*x - w = -6. Calculate the remainder when x is divided by 31.
30
Let l(i) = i**3 + 24*i**2 + 20*i - 12. Let h be l(-23). Suppose -33*r = -36*r + h. Calculate the remainder when 56 is divided by r.
18
Let c be (-2)/(-6) - (-187)/51. Suppose 2*a + 4*p - 22 = 0, -2*a + c*a - 5*p = -23. Calculate the remainder when 1 is divided by a.
0
Suppose -4*i = 3*j - 16, -4*j - 7*i = -2*i - 22. What is the remainder when 0*3/(-9) + 14 is divided by j?
6
Let h be -1 + 2 + 24/12. Suppose -q + 15 = h*o, -5*o + q + 25 = -3*q. What is the remainder when 17 is divided by o?
2
Suppose 77 - 259 = -13*i. Let l(h) = h - 4. Let u be l(-6). Let s = i + u. What is the remainder when s is divided by 2?
0
Let b(r) = r**2 - 2. Let z be b(-3). Let g = 126 - 233. What is the remainder when (-2)/z - g/7 is divided by 4?
3
Suppose y - 17*y = -2288. Calculate the remainder when y is divided by 9.
8
Let t be (-312)/(-22) - (-4)/(-22). Let o be (-6)/(-12)*t*1. Suppose 5*q = o*q - 30. Calculate the remainder when q is divided by 4.
3
Suppose -2*h - 115 = -3*h + 2*p, -3*h = -4*p - 337. Let f = -62 + h. Calculate the remainder when 178 is divided by f.
43
Suppose -100*w + 20910 - 7110 = 0. What is the remainder when w is divided by 70?
68
Let v(b) = 2*b + 21. Let d be v(6). Let n = d - 14. What is the remainder when 75 is divided by n?
18
Suppose 2*v = -4*v - 72. Let m = v + 34. What is the remainder when m is divided by 14?
8
Suppose -5*y - 168 = -603. What is the remainder when y is divided by 46?
41
Let n = 20 - -20. Suppose 0 = s - m - 2*m, m = -3*s + n. Let w = 22 - s. What is the remainder when 28 is divided by w?
8
Calculate the remainder when 81 is divided by (-104)/(-5) + 1 + 4/20.
15
Suppose 92*g - 441 = 83*g. What is the remainder when 79 is divided by g?
30
Suppose 3*o - 2750 = 124. Let l be 3/6 + o/4. Calculate the remainder when 39 is divided by (1/(-3))/((-8)/l).
9
Let c(v) = -v**3 - 9*v**2 + 21*v + 23. Let q be c(-11). Calculate the remainder when q*1 - (6 + -2) is divided by 16.
14
Suppose 3*l - 4*l + 2*q = 65, 5*l = -q - 325. What is the remainder when 14 is divided by (-26)/l + 43/5?
5
Let z(b) = -3*b**2 - 77*b - 63. Calculate the remainder when z(-22) is divided by 56.
11
Suppose -3*h - 14 + 47 = 0. Let c = -4 + h. What is the remainder when 46 is divided by (-18)/c*(-112)/24?
10
Let u(y) = 9*y**2 - 3*y - 2. Calculate the remainder when u(3) is divided by 9.
7
Let r(q) = 2*q**2 + 21*q + 80. What is the remainder when r(-15) is divided by 27?
26
Calculate the remainder when 5/(120/(-88))*-24 is divided by 15.
13
Suppose 4*m - s = 3*s + 72, 3*m - 2*s = 51. Let d(n) = n**2 + 94*n + 1031. Calculate the remainder when d(-83) is divided by m.
13
Suppose -4*t = -s - 7, -2*t + 0*s + 3*s = 9. Let r = 40 - t. Suppose 29*z + 30 = 32*z. Calculate the remainder when r is divided by z.
7
Let c = 235 + -117. Calculate the remainder when c is divided by 32.
22
Calculate the remainder when -4 + -2 + 5 - (1 - 152) is divided by 24.
6
Let m be ((-3)/5)/((-6)/30). Suppose m*j + 97 = 2*y + 15, 3*j = -2*y + 82. Calculate the remainder when y is divided by 6.
5
Suppose -4*o - 23 = l, -5*o + o - 53 = 3*l. Let n = -11 - l. Suppose -4*m + 3*m - 2 = -4*y, 3*m = 5*y + 15. Calculate the remainder when m is divided by n.
2
Suppose -t - 152 = t. Let j = -29 - t. Let r = -28 + j. Calculate the remainder when r is divided by 11.
8
Suppose -5*x + 157 = -0*x + j, 3*x + 3*j = 87. Let n = 9 - -9. What is the remainder when x is divided by n?
14
Let i(l) = 6*l - 9. Let b(u) = -u**3 - 9*u**2 - 9*u + 2. Calculate the remainder when b(-9) is divided by i(5).
20
Let n = 666 + -626. Calculate the remainder when n is divided by 32.
8
Let s(p) = p**3 + 15*p**2 - 4*p - 6. Let z be s(-15). Let d = -43 + z. Calculate the remainder when d is divided by 7.
4
Suppose -4*g = -13 - 3. Let o(v) = 5*v**2 - v + 3. Let a(d) = d**2. Let z(k) = 6*a(k) - o(k). What is the remainder when z(-4) is divided by g?
1
Let q(h) = 2*h - 1. Let y be q(3). Suppose -x + 20 = t, 2*t = y*x + 13 - 1. Calculate the remainder when t is divided by (6/7)/((-1)/(-7)).
4
Suppose p + 150 = 6*p. Suppose -6*u = -u - 10. Suppose -4*y + u*k + p = -32, -k + 3 = 0. Calculate the remainder when 65 is divided by y.
14
Let o(s) = -s**3 + 7*s**2 - 3*s + 6. Let c be o(6). Suppose 2*u - c = -u. What is the remainder when 39 is divided by u?
7
Suppose 89*u - 84*u - 35 = 0. What is the remainder when u is divided by 2?
1
Suppose j = -4*j - 5*g - 195, -3*j = -4*g + 82. Let l = j - -62. Let t = 66 - -17. Calculate the remainder when t is divided by l.
27
Let x(i) = -i**2 + 3*i + 7. Let f be x(3). Suppose v - f = 32. Calculate the remainder when 77 is divided by v.
38
Suppose 43*k - 46*k - 117 = -4*m, -5*k = 5*m - 155. What is the remainder when 206 is divided by m?
26
Calculate the remainder when 47 is divided by (8/(-2) - 1)/(-1).
2
Let r(u) = -u**3 - 8*u**2 - 8*u - 3. Let y be r(-7). Let l be (y/(-6))/((-10)/45). Suppose -1 = l*x - 16. Calculate the remainder when x is divided by 2.
1
Suppose 0 = -20*t - 7*t + 1647. What is the remainder when 974 is divided by t?
59
Let u = -2276 - -2294. What is the remainder when 460 is divided by u?
10
Suppose -5*j = j - 168. Calculate the remainder when j is divided by (-58)/(-7) + 6/(-21).
4
Let n = -75 - -94. Suppose 4*j + 0*j - 6 = -2*r, -5*r + 15 = 5*j. Let l = n - j. What is the remainder when l is divided by 10?
9
Suppose -2*p = -3*r - 137, 8*p = 9*p + r - 76. Calculate the remainder when p is divided by 25.
23
Suppose 3*f = 8*f - 75. Let t be ((-8)/(-10))/(6/f). Suppose -4*p = -t*p - 46. Calculate the remainder when 89 is divided by p.
20
Let k(b) = -b**3 + 7*b**2 - 2*b - 1. Let y(l) = l**3 - 10*l**2 - 19*l + 92. Calculate the remainder when k(6) is divided by y(11).
3
Let r(b) = -15*b - 10. Let p be r(-3). Suppose -3*o = -8*o + p. What is the remainder when 13 is divided by o?
6
Suppose 3*c + 5*c - 40 = 0. Suppose 0 = -3*x + 3*b - 4*b + 98, c*x - 166 = -3*b. Calculate the remainder when 61 is divided by x.
29
What is the remainder when 49 is divided by 24/(-6)*(-54)/12?
13
Let p(b) = 6*b - 3 - 15*b - 2 + 11*b. Suppose 8*g - 13 = 19. Calculate the remainder when p(5) is divided by g.
1
Suppose 0 = -8*u + 1498 + 1366. Calculate the remainder when u is divided by 106.
40
Suppose -66 + 3 = -2*m + 3*d, 3*m - 84 = d. Calculate the remainder when 1024 is divided by m.
25
Suppose 7*s - 2*s - 75 = 5*m, s = -4*m - 5. Suppose 2*c + 98 = 416. Suppose 156 = 5*h - c. What is the remainder when h is divided by s?
