e k*m = 47 - 25. Calculate the remainder when 43 is divided by m.
1
Let v(i) = 7*i**3 - 13*i**2 + 59*i - 107. Calculate the remainder when v(5) is divided by 89.
26
Suppose -8*d + 3*d = -150. Let n = 11 + -32. What is the remainder when d is divided by 2/7 - 225/n?
8
Suppose 0 = -2*v + 6 - 2. Suppose v*u + 21 - 27 = 0. Suppose -9 = -5*f + 4*k + 13, u*k = 4*f - 18. Calculate the remainder when f is divided by 2.
0
Let v(y) = -872*y + 2639. Calculate the remainder when 1049 is divided by v(3).
14
Suppose -2*j + 74 = -5*u - 485, j + 3*u = 285. Let f = 295 - j. Calculate the remainder when 57 is divided by f.
5
Suppose 11*l - 30 = 6*l - 5*w, 5*l = 2*w + 30. Suppose 280 = 10*c - l*c. Suppose -37*d = -42*d + c. Calculate the remainder when 82 is divided by d.
12
Let x(d) = -18*d - 12. Let u be x(5). Suppose a + 29 = -24. Let n = a - u. Calculate the remainder when n is divided by 10.
9
Suppose -13*g + 307 = 8. Suppose -2*c + c = -g. What is the remainder when 60 is divided by c?
14
Let p = 742 + -752. Calculate the remainder when (-3724)/p - 50/125 is divided by 25.
22
Let f = 21 + -18. Suppose -t = -p - 2*p + 4, t + 4 = -2*p. Suppose -2*a = -o + 3, p*o - 1 = 3*o + 4*a. What is the remainder when f is divided by o?
0
Let l(s) = s**3 - 9*s**2 + 14*s + 16. Let b be l(7). Suppose -b*r + 12*r = -12. Let d(y) = 6*y + 1. What is the remainder when 55 is divided by d(r)?
17
Let f = 2794 + -2747. Calculate the remainder when 515 is divided by f.
45
Let d(o) = 9*o**2 + o. Let j be d(-3). Suppose -914 = 24*l + 46. Let n = l + j. Calculate the remainder when n is divided by 24.
14
Let y(i) = i**3 + 7*i**2 + 2*i - 17. Suppose 10*h + 15 = 7*h. Calculate the remainder when 83 is divided by y(h).
14
Let y(r) = r**3 - 3*r**2 - 55*r - 341. Calculate the remainder when y(21) is divided by 9.
7
What is the remainder when 17067 is divided by -3*(-14)/147 + 2362/14?
167
Suppose 69*b - 4588 = 1760. Calculate the remainder when 271 is divided by b.
87
Suppose -1394 = 262*p - 5586. What is the remainder when 606 is divided by p?
14
Let h be 28/6*(-15)/(-10). Suppose -3*n + 14 = -2*x + h*x, n = -4*x + 7. Suppose 0 = 61*v - 1091 - 922. Calculate the remainder when v is divided by n.
0
Suppose 0 = -27*s + 7*s - 30*s + 200. Calculate the remainder when 392 is divided by s.
0
Let o(n) = -1606*n - 1591. Suppose 3*q + 0*y - 5*y = 17, -y = 1. Suppose 4*j = p - 0*p + 112, q*j + p = 120. What is the remainder when j is divided by o(-1)?
14
Suppose -68*w + 49907 + 2216 + 9893 = 0. What is the remainder when w is divided by 61?
58
Let l = -890 - -1022. Suppose 5*r + 6 = 26. Suppose -2*a + r*f + 34 = -l, 158 = 2*a + 4*f. What is the remainder when a is divided by 17?
13
Suppose t - 5*u = 95, -u - 39 = -3*t + 232. Calculate the remainder when 10 is divided by ((-8)/10 - -1)/(18/t).
0
Let y = -364 - -735. Calculate the remainder when 80 is divided by 3/2 + y/14.
24
Let y(t) = 2*t**2 - t + 3. Let q(k) = -3*k**2 + 569*k - 11891. Calculate the remainder when q(24) is divided by y(4).
6
Let d(c) = 7518*c + 280. Suppose -h - 57 = -4*h. What is the remainder when d(0) is divided by h?
14
Suppose -g + 21 = 2*x - 0, -2*x + 8 = 0. Let n(r) = -2*r**2 - 4*r + 4. Let h be n(-4). Let p = h + g. What is the remainder when 1 is divided by p?
0
What is the remainder when 1740 is divided by (360/25)/((-6)/(-20)) - 0/(-5)?
12
Let z(w) = 5*w**2. Suppose 19813 = 1681*u - 390*u - 93795. Calculate the remainder when u is divided by z(4).
8
Let w(x) = -x**3 + 14*x**2 - 15*x - 27. Let g = 3730 - 3644. What is the remainder when w(11) is divided by g?
85
Let k(x) = -4*x - 47. Let y = -29 + 63. Suppose 134 - y = 2*i. Calculate the remainder when i is divided by k(-15).
11
What is the remainder when 5675 is divided by (-51)/(-4)*((-56)/12 - (-24 - -18))?
14
Suppose -5*j = 20, -2*j = 5*n - 3*j - 14. Suppose -100 = -3*d - d + n*y, 125 = 5*d + 3*y. Calculate the remainder when 86 is divided by d.
11
Let x be 2/3 + 40/(-6). Let v = 10 - x. What is the remainder when 47 is divided by -4*-17*4/v?
13
Suppose -71 = -23*z + 20*z + 4*d, 57 = 5*z + d. Calculate the remainder when 24008 is divided by z.
10
Suppose -17*a = -15*a + 4*b - 5364, -5*a + 13440 = 5*b. Calculate the remainder when a is divided by 49.
48
Let n be 7*-60 - 2 - 4. Suppose -37 - 19 = -2*p. Calculate the remainder when n/(-8) - (3 + (-11)/4) is divided by p.
25
Calculate the remainder when ((-114)/6)/((-4)/16) is divided by 4/(-3 - 80/(-24)).
4
Let t = -32509 - -32641. Suppose 2*q + q = 318. Suppose 5*z + 21 = q. Calculate the remainder when t is divided by z.
13
What is the remainder when 346 is divided by ((-79)/(790/(-660)))/2?
16
What is the remainder when 593 is divided by 73/146*(3 - (3 + -4))?
1
Let d = 7276 + -7067. Calculate the remainder when d is divided by 63.
20
Let f = -13401 + 19636. What is the remainder when f is divided by 81?
79
Suppose 4*g - 18473 = 2903. Suppose -31*d = d - g. Calculate the remainder when d is divided by 17.
14
Suppose -5*d - 27*m = -25*m - 54, -d = 5*m + 3. Suppose 3916 = d*o - o. What is the remainder when o is divided by 17?
16
Let z(t) be the second derivative of t**5/20 + t**3/3 + 23*t**2 + 47*t. Calculate the remainder when 89 is divided by z(0).
43
Let l(v) = 2*v**2 - 6*v - 489. Calculate the remainder when 2084 is divided by l(-21).
8
Calculate the remainder when -1*((-29)/(-58))/((-2)/776) is divided by 25.
19
Suppose 0 = -163*q + 160*q - 90. Let x = 62 + q. What is the remainder when 66 is divided by x?
2
Suppose 2*f = o + 8, 5*o + 0*o - 4*f = -34. What is the remainder when 163 is divided by (-2)/o*-2 - 132/(-9)?
9
Let q(z) = -z + 2. Let i(n) = -27*n**2 + 11*n + 12. Let h(c) = -i(c) + 5*q(c). What is the remainder when h(-1) is divided by 5?
1
Let x = -12040 + 12110. Let h = 147 + -76. Suppose 0 = 3*k - 7*k - 5*r + h, 4*r = -2*k + 34. Calculate the remainder when x is divided by k.
13
Suppose -2*s - r = -159, 4*s - s - 251 = -4*r. Suppose o - 5*j = -3*j - 8, -4*o - 5*j - 6 = 0. What is the remainder when s is divided by (-64)/(-6)*(-6)/o?
13
Let n(j) = 14*j**2 - 4*j - 4. Suppose 5*m + 4*i = 433, 0 = 37*m - 34*m - i - 253. Calculate the remainder when m is divided by n(-1).
1
Suppose 3*b - 84 = -5*i, 34 = 3*i + 27*b - 17*b. Calculate the remainder when (-82)/8*14*-2 is divided by i.
17
Suppose -190*f - 84574 = -27876 - 360318. Calculate the remainder when f is divided by 50.
48
Let t = 107 - 102. Calculate the remainder when 101*t/(6 + -1) is divided by 51.
50
Let p(z) = z**2 + 11*z + 8. Let y be p(-11). Let r(j) = y*j**2 - 20*j**3 - 2*j - 9 + 21*j**3 + 18. Calculate the remainder when 97 is divided by r(-8).
22
Suppose p = 5*p - j + 225, 2*p = -3*j - 123. Let f = 54 + p. Calculate the remainder when 48 is divided by (-1)/f*(-54)/(-1).
12
Let c be (-4)/(-3*(-4)/(-78)). Let i = c - 13. Suppose 2 + i = x. Calculate the remainder when 29 is divided by x.
14
Let m(q) = 241*q**2 + 90*q - 90. Let i = -24 - -51. Calculate the remainder when m(1) is divided by i.
25
Suppose -1507*r + 23505 = -1504*r. Suppose 31*p - 132 = r. Calculate the remainder when p is divided by 49.
12
Let p = -22430 + 22984. What is the remainder when p is divided by 124?
58
Let p = 14 + 18. Suppose 2*q = 10*q - p. Suppose -q*y = -72 + 16. Calculate the remainder when 53 is divided by y.
11
Suppose 0 = 2*c - 5*h - 15 - 23, -2*c + 2*h + 44 = 0. Let v(q) = -4*q - 4. Let u be v(-5). Let p = 84 - u. What is the remainder when p is divided by c?
20
Let c(x) = 3*x + 103. Let p = -234 - -205. Calculate the remainder when 46 is divided by c(p).
14
Suppose -8802*x + 4399*x + 4176 = -4391*x. What is the remainder when x is divided by 6?
0
What is the remainder when 1498 is divided by (-58491)/(-315) + (-2)/7 - (-14)/(-35)?
18
Let a(z) = -z**2 + 9*z - 1. Let v be a(10). Let o = 119 + v. Suppose 10*x - o = x. Calculate the remainder when 33 is divided by x.
9
Let w(l) = -l**3 - 2*l**2 - 7*l - 4. Calculate the remainder when ((-5)/7 + 171331/(-511))*-1 is divided by w(-3).
24
Calculate the remainder when 710 is divided by (-559 - -544) + 1 + 93.
78
Let n(h) be the first derivative of -3*h**2 + 63*h + 19. Calculate the remainder when 57 is divided by n(8).
12
Suppose s + 5*u = 22, 6*u - 2*u = 4*s + 8. Calculate the remainder when 204 is divided by (-4*