- 21*p = 3575. Let k = p + 345. Calculate the remainder when k is divided by 23.
1
Let j be 45/(-10)*12/(-27). Suppose 30 = j*p + 8. Calculate the remainder when p is divided by (-155)/(-31)*(-7)/(-5).
4
Let m(d) = 24*d**2 + 3*d + 4. What is the remainder when m(-5) is divided by (-3034)/(-205) + (-60)/(-350)*7?
13
Let y = 8855 - 8777. What is the remainder when y is divided by 15?
3
Let a(k) = -k**3 - 4*k**2 + 39*k - 208. What is the remainder when 219 is divided by a(-11)?
9
Suppose 0 = 4*b - 4 - 8, 15 = y + b. Suppose -y = -30*p + 29*p. What is the remainder when ((-4)/p*-3)/((-1)/(-22)) is divided by 8?
6
Let r(f) = 84*f - 3. Let y be r(-1). Let c = y + 169. Suppose 0 = g + 4*u + u - 12, -c = -5*g - 3*u. What is the remainder when 49 is divided by g?
15
Suppose 2*u - 338 = -h, -1531*u + 1535*u - 2*h = 716. What is the remainder when u is divided by (0 + -1)*-1 + 31?
14
Calculate the remainder when 3790 is divided by (-7516)/(-6) - 658/987.
34
What is the remainder when 1394 is divided by (-18)/(-81) + (-1596)/(-108)?
14
Suppose 0 = -407*g - 120*g + 6851. Calculate the remainder when 300 is divided by g.
1
Let r = 65 - -40. Let v = -352 + 460. What is the remainder when r is divided by 39 - v/9 - 0/1?
24
Let m(x) = -x**3 - 14*x**2 - 12*x + 31. Let j be m(-6). Let n = j + 223. What is the remainder when n is divided by 17?
4
Let l(q) = 6*q**3 + 2*q**2 + q + 1. Let d be 2/(-7) + (-46)/(-14). Suppose d*w = 79 - 43. Calculate the remainder when l(2) is divided by w.
11
Calculate the remainder when 33 is divided by (7 - 2*21/(-6)) + 0.
5
Suppose p - 84 = 5*p. What is the remainder when 82 is divided by (6/5)/(2*p/(-490))?
12
Let z = 25 + -20. Let t(c) = 3*c - 15. Let f be t(z). Suppose f = 3*n + n - 12. Calculate the remainder when 13 is divided by n.
1
Let u(j) = -6*j**3 - 3*j**2 - j + 1. Let l be u(-1). Suppose 0 = 3*m, -2*d + l*d = -4*m + 60. Calculate the remainder when 31 is divided by d.
11
Let h = 832 + -661. What is the remainder when h is divided by 34?
1
Suppose 2*w = -3*w + 305. Let y = -4 + w. What is the remainder when y is divided by (-1)/(-3) + (-35)/(-3)?
9
Suppose 4*c = -0*c, 0 = -11*w + 8*w - 3*c + 3093. What is the remainder when w is divided by 4?
3
Let s(h) be the third derivative of -h**6/120 - 11*h**5/60 - 29*h**4/24 + 8*h**3/3 + 71*h**2. Calculate the remainder when s(-10) is divided by 11.
8
Suppose 4*n + 4*a - 18123 = 1989, -15087 = -3*n - 2*a. Calculate the remainder when n is divided by 6.
3
Let p = 1538 - 1516. What is the remainder when 408 is divided by p?
12
Suppose -p = -2*p - 3*d + 93, -6*p + 3*d = -642. Calculate the remainder when 211 is divided by p.
1
Suppose 0 = 5*t, 5*b - 11 = -3*t + 244. Suppose 3*w + 4*g - 9 - 40 = 0, -5*w = -g - b. Let v = 82973 + -82865. What is the remainder when v is divided by w?
9
Let k(u) = 241*u + 851. Calculate the remainder when k(5) is divided by 147.
145
Let w = 5 + -2. Suppose 51 - w = 3*s - 3*r, s = -2*r + 28. Calculate the remainder when (-16440)/(-300) - ((-1)/2)/(25/10) is divided by s.
15
Suppose -16350*z = -16334*z - 6384. Calculate the remainder when 10372 is divided by z.
397
Suppose 4*x - 2312 + 248 = 0. Suppose -13*u = -x - 95. What is the remainder when u is divided by 15?
2
Calculate the remainder when 32/(-40) + 33672/115 is divided by 149.
143
Suppose 0 = 6*o - 13*o + 63. Suppose -3*i + o = -24. Suppose 4*v - v + 5*m + i = 0, -5*m - 20 = 0. Calculate the remainder when 28 is divided by v.
1
Let n(k) = k + 0*k + 13 - 6 + 18. What is the remainder when 207 is divided by n(-15)?
7
Let t = 19603 + -19418. What is the remainder when 622 is divided by t?
67
Let v(z) = -z**2 + 17*z + 10. Let l be v(8). Let n = -56 + l. Suppose 4*d = k + 319, 1358*d - 1362*d + 286 = 2*k. What is the remainder when d is divided by n?
25
Let n(g) = g**3 - 2*g**2 + g. Let r = -6 + 7. Let f be n(r). Suppose 10*t - 201 - 369 = f. Calculate the remainder when t is divided by 15.
12
Let p(u) = 108*u - 617. Calculate the remainder when 152 is divided by p(6).
28
Let c(a) = a**3 - a**2 - a + 9. Let r be ((-14)/(-1))/((-5)/15). What is the remainder when r/12*10*-1 is divided by c(0)?
8
Suppose 2*r - 5*y = 163, 2*y + 305 - 814 = -5*r. What is the remainder when r is divided by 50?
49
Let q be 48/20 + (-2)/5. Suppose q*p - 7 = p. Calculate the remainder when -11 - (-119)/34*6 is divided by p.
3
Let o(n) = 66*n + 1475. Let i be o(-24). Suppose -2*w = -h + 429 + 130, -1408 = 5*w + h. Let y = i - w. Calculate the remainder when y is divided by 58.
56
Let m(w) = w**3 - 5*w**2 + 3*w + 10. Suppose 3*z = z. Suppose -2*n + 3*n - 5*a - 6 = 0, n + 4*a + 3 = z. Calculate the remainder when m(3) is divided by n.
0
What is the remainder when ((2 - 4/2)/(-4) - -1)*351 is divided by 346?
5
Suppose 409*m + 379*m = 835*m - 9964. Let v = -8 + 20. Calculate the remainder when m is divided by v.
8
Suppose 292 = 4*c - j + 3*j, 0 = 4*c + 3*j - 296. Suppose -182*y + 6*y + 3717 = y. What is the remainder when c is divided by y?
8
Let f(i) = i**3 - 11*i**2 + 32*i - 12. Let x = 468 - 450. What is the remainder when x is divided by f(7)?
2
Let p(y) = -18*y - 102. Suppose 2*x + 2 = -10. Calculate the remainder when 11 is divided by p(x).
5
Suppose 173 = 5*n + 33. Suppose 2*u = 5*g - 26 - n, -g + 4*u = 0. What is the remainder when 19 is divided by g?
7
Let x = -12150 - -12652. Calculate the remainder when x is divided by 73.
64
Let r(a) = -5*a + 85. Let s be r(-16). Let q = s - 99. Calculate the remainder when 392 is divided by q.
62
Let y be 11/(-99) + 1582/315*5. Suppose -u + 5*d = -0*u - 10, -2*d - 4 = -2*u. Suppose u = 2*x - y - 11. Calculate the remainder when 67 is divided by x.
13
Let o = -13766 + 14528. What is the remainder when o is divided by 252?
6
Let p(k) = 3*k + 31. Suppose 13*f = 21*f + 104. Let i(c) = -7*c - 61. Let r(v) = f*p(v) - 6*i(v). What is the remainder when 62 is divided by r(18)?
11
Let u(o) = -o**3 - 20*o**2 - 19*o - 17. Let t be u(-20). Let j = -302 + t. What is the remainder when j is divided by 8?
5
Let w(u) = 5*u - 83. Let l(q) = -13*q + 250. Let c(i) = 6*l(i) + 17*w(i). What is the remainder when 57 is divided by c(-12)?
2
Suppose 3*j = -s + 468, -104*j = -100*j - 3*s - 650. What is the remainder when j is divided by 80?
78
Let v(t) = -18*t + 59. Suppose 4*c - 3*y + 1 = 4, -4*c = y + 1. Suppose 4*p = 0, -4*u + 0*p = -2*p - 40. Calculate the remainder when v(c) is divided by u.
9
Let y = 75 - -87. Let t = y - -88. Calculate the remainder when t is divided by 36.
34
Let i = -686 + 723. Let k = -65 + 135. What is the remainder when k is divided by i?
33
Suppose 0*r = 3*r - 114. Calculate the remainder when ((-25)/(-4))/((-1)/(-12)) is divided by r.
37
Let h = 840 + -838. Suppose -2*c + h*t + 118 = 0, -115 = -3*c - 3*t + 44. What is the remainder when c is divided by 5?
1
Let y = 7025 - 6970. What is the remainder when 239 is divided by y?
19
Suppose 1616 = a + 1402. Calculate the remainder when a is divided by 48.
22
Suppose -5*c = -5*q, 0 = -2*c + 4*q - 7*q + 10. Suppose c*x + 5*f = 10, 3*x + f - 34 = 3*f. Calculate the remainder when 28 is divided by x.
8
Suppose -q + 27 = -3*k - 0*k, 0 = -q - k + 15. What is the remainder when (-4083)/(-27) - 4/q is divided by 17?
15
Suppose -46*l = -45*l - 21. Suppose 240*k + 243*k + 432 = 491*k. Calculate the remainder when k is divided by l.
12
Let r = -22064 - -22170. What is the remainder when 153 is divided by r?
47
Let y(x) = -45*x**3 + 2*x**2 + 2*x + 1. Let r be (-446)/(-26) + (-34)/221. Let l = 16 - r. Calculate the remainder when y(l) is divided by 12.
10
Suppose 0 = -3*u + 4*u + 3*c - 43, -3*u + c + 149 = 0. Suppose -u = -3*k + 101. What is the remainder when k is divided by (-25 + 24)/((-3)/51)?
16
Let p(l) = -2*l**3 - 10*l**2 + 14*l + 108. Calculate the remainder when p(-11) is divided by 83.
78
Suppose 5*r - 136 = 4*j, -16*j - 107 = -4*r - 11*j. What is the remainder when r is divided by (-14 + 37/2)/((-6)/(-20))?
13
Suppose -1236 - 2100 = 12*h. Let z = h - -524. What is the remainder when z is divided by 21?
15
Let q(n) = -14*n**3 - 2*n**2 - 2. Let r be q(-2). Suppose -r*m + 104*m - 100 = 0. What is the remainder when 99 is divided by m?
49
Suppose 5*g - 2*x - 66 = 0, g - 2*g - 5*x = -24. Let n(f) = 19 - 19*f - 18*f + 7*f. What is the rem