5 - 8691. Calculate the remainder when (-5)/(1/(-67)*1) is divided by x.
13
Suppose -4*d = 5*w - 2458, -3*d + 3024 - 1056 = 4*w. What is the remainder when w is divided by 3?
0
Let i be 0 - -3 - 260/(-13) - 0. Let g(f) = -2*f**3 + 45*f**2 + 22*f - 21. Let s be g(i). Let n = s - -51. What is the remainder when 14 is divided by n?
0
Let n(u) = -2*u**3 + 96*u**2 + 19*u - 8. Let i be n(48). Suppose -5*l - 3*h + i = 0, -4*l + 728 = 12*h - 8*h. Calculate the remainder when l is divided by 6.
5
Let g(d) = 4*d**3 + 3*d - 3. Let q = -92077 + 92179. Calculate the remainder when q is divided by g(2).
32
Let f(h) = 4*h**2 + 2*h + 2. What is the remainder when (-6 + (-610)/(-140) + 6/(-7))*-24 is divided by f(-3)?
28
Let a(g) = g**3 - 17*g**2 + g - 14. Let b be a(17). Suppose b*x + 17 = -19. Let j = 69 + x. Calculate the remainder when j is divided by 34.
23
Let o(k) = k**3 + 7*k**2 + 5*k - 4. Let v be o(-6). Suppose 3*f - v*n = 150, 57 = f - 0*f - 3*n. Calculate the remainder when 135 is divided by f.
39
Let f(v) = 22702 - v + 13*v - 22548. What is the remainder when 14 is divided by f(-12)?
4
Let s(m) = 2*m + 46. Let h be (2 + 40/(-15))*24. Let y be s(h). Calculate the remainder when 151 is divided by 24/(-56) + 440/y.
27
Let b(t) = 2*t**3 - 4*t**2 - 2*t + 90. Let p be b(10). Let a = p - 1045. Calculate the remainder when a is divided by 57.
55
Let f(l) = l**2 - 4*l - 2. Let u be f(-3). Let j = u - 21. What is the remainder when 20 is divided by (-1232)/(-104) - j/13?
8
Suppose 85*t - 230 = 11*t + 51*t. Calculate the remainder when 116 is divided by t.
6
Suppose 1 = u - 2*u. Let d be u/((-40)/(-100)*5/12). Calculate the remainder when 18 is divided by 9/2 + d/4.
0
Suppose 5*o + 5*t - 1713 = 547, 0 = 3*t + 3. Calculate the remainder when o is divided by 19.
16
Suppose -2*r = -26*l + 23*l - 4, -5*r + 19 = -3*l. What is the remainder when (-12)/30 - (-134)/10 is divided by r?
3
Suppose 12*h - 218 - 142 = 0. Suppose -h*w = -24*w - 1764. Calculate the remainder when w is divided by 37.
35
Suppose h - 17 = -n + 13, -96 = -3*h - n. Let g = 11 + -8. Calculate the remainder when h is divided by g.
0
Suppose -4*t - 6 = -t + 3*z, 2*z + 4 = 2*t. Suppose 3*m + m + 16 = t. Calculate the remainder when ((-34)/(-4))/((-2)/m) is divided by 7.
3
Let t = -66 - -137. Suppose 0 = -t*h + 68*h + 27. What is the remainder when 107 is divided by h?
8
Suppose 6*a - 1958 = -4*i, 8*a - 6*a - 653 = -i. Calculate the remainder when a is divided by 82.
81
Let a(r) = 18*r**2 - 18*r + 231. Calculate the remainder when a(-6) is divided by 52.
51
Let h(l) = 4*l**2 + 6*l - 13. Suppose -15 = 3*p, 0 = -3*m - 2*p - 0*p + 47. Let q be 3 + -1 - (m - 10). What is the remainder when h(q) is divided by 18?
15
Suppose 4*m - 2*m - 394 = 0. Let z = m - 133. Calculate the remainder when z is divided by ((-7590)/(-660))/((-2)/(-4)).
18
Let f = 83 - 80. Let r be 879/(-21) - f/21. Calculate the remainder when (-6)/(r/(-11) - 4) is divided by 4.
1
Suppose 4*p - 2*o + 320 - 1386 = 0, 3*p - 799 = 2*o. Calculate the remainder when p is divided by 75.
42
Let q = 187 + -182. Let g(x) = x**2 - x + 41. Calculate the remainder when g(q) is divided by 18.
7
Let s(x) be the first derivative of 19*x**3/3 + 2*x**2 - 5*x + 62. Calculate the remainder when s(-2) is divided by 44.
19
Suppose -3*y + 111 = 3*k, -4*y + 3*k + 24 = -96. Suppose 0 = 3*l - 8*l + 1980. What is the remainder when y is divided by ((-1)/3)/((-12)/l)?
0
Let l(v) = -389*v - 29944. Calculate the remainder when (-4)/6 - (-190)/6 is divided by l(-77).
4
Let r = -1392 + 1860. Calculate the remainder when r is divided by 17.
9
Let m(q) be the first derivative of 2*q**3 + 37*q**2/2 + 14*q - 141. What is the remainder when 17 is divided by m(-6)?
1
Suppose 521 = 5*w - a, 61*w - 440 = 57*w - 5*a. Calculate the remainder when 152 is divided by w.
47
Suppose 0 = 5*m + 2*g + 6, -m + 10 = -5*g - 5. Suppose m = -5*k + 1060 - 210. Calculate the remainder when k is divided by 44.
38
Suppose 93512 = 296*g - 29920. Calculate the remainder when g is divided by 401.
16
Suppose -4877 = -5*q - 2*j, -117*q + 121*q - 3924 = 4*j. Calculate the remainder when q is divided by 199.
181
Let j(w) be the third derivative of 17*w**4/24 - 13*w**3/2 - 164*w**2. What is the remainder when 44 is divided by j(3)?
8
Let y(g) = -3*g - 6. Let w be y(-2). Let d(l) = l**3 + l**2 - 2*l + 12. Let u(m) = -25*m - 126. What is the remainder when u(-6) is divided by d(w)?
0
Let q(p) = p - 6. Let r be q(1). Calculate the remainder when 2/5*(-225)/r is divided by 12.
6
Let m(a) = 17*a**2 - 4 - 9*a**2 - 8*a - 3 + 3*a**3 - 2*a**3. Suppose 0 = 12*p + 48 - 228. What is the remainder when m(-8) is divided by p?
12
Suppose -87661*w - 4785 = -87694*w. Calculate the remainder when 901 is divided by w.
31
What is the remainder when 334 is divided by (-14)/56 - 3048/(-32)?
49
Let k(z) = z**2 - 2*z + 11. Suppose -14 = 4*t + 18. Let y = -125910 - -125933. Calculate the remainder when k(t) is divided by y.
22
Let n be (51/6)/((-2)/(0 - 4)). Suppose n*h - 5*h = 492. Let l = h - 22. What is the remainder when 73 is divided by l?
16
What is the remainder when 2743 is divided by (-6 - (-1 + 50))/((-31)/155)?
268
Let z(j) = -2*j**2 - 2*j - 2. Let u be z(-1). Let p(m) = 7*m**2 - 3*m - 6. What is the remainder when p(u) is divided by 15?
13
Let i(a) = a + 98. Let r be i(5). Let t = 174 - r. Suppose 30 = 3*k - 6. What is the remainder when t is divided by k?
11
Suppose 2*o = -5*q + 205, -3*o = -2*q + 3*q - 41. Let r = -24664 + 24679. Calculate the remainder when q is divided by r.
11
Let h(i) = -14*i - 83. Let u be h(-6). Let w = u - -574. Calculate the remainder when w is divided by 36.
35
Suppose -15524*s + 15532*s - 61720 = 0. Calculate the remainder when s is divided by 10.
5
Let p(k) = 2*k**3 - 8*k**2 + 8*k - 45. Suppose -4*n + 0*n = -5*b - 10, 0 = 5*n - 4*b - 17. What is the remainder when 193 is divided by p(n)?
13
Let m(o) = -19*o**2 + 2*o + 16. Let w(i) = -i**2 - 1. Let f(s) = -m(s) - 6*w(s). Calculate the remainder when f(-2) is divided by 45.
4
Suppose -2*z - q + 2209 = 0, 5*z + q - 5509 = -0*z. What is the remainder when z is divided by 216?
20
Let s(k) = 87*k + 104. Let d be 4/(-18)*-3 - 70/(-30). What is the remainder when s(d) is divided by 53?
47
Suppose -2*p + n - 57 = -100, 0 = -3*p - 6*n + 42. Suppose -14 = -3*l - 44. Let o = l + 16. Calculate the remainder when p is divided by o.
2
Let o = 48 + -44. Suppose -4 + o = -7*q. Suppose 4*g + 4*d + 46 - 138 = q, 125 = 5*g - 5*d. Calculate the remainder when 71 is divided by g.
23
Let v(y) = -6*y - 7. Let x be v(-5). Suppose -b + x = 21. Suppose -c + i + 0*i = -54, -b = 2*i. What is the remainder when c is divided by 6?
5
Let o = 18811 + -18591. What is the remainder when o is divided by 14?
10
Suppose 0 = -22519*x + 22507*x + 3108. What is the remainder when x is divided by 192?
67
Let j be 567/108 + 2/(-8). Suppose 4*m + 174 = j*m. Calculate the remainder when m is divided by 61.
52
Suppose -63*t - 26*t + 2622 = -2540. What is the remainder when 1796 is divided by t?
56
Suppose -50*n - 364 = -46*n. Let r = n - -94. Suppose r*l - 34 = 2. Calculate the remainder when 33 is divided by l.
9
Let s(z) be the second derivative of z**5/20 - 13*z**4/12 - 13*z**3/6 + 9*z**2/2 - 84*z. What is the remainder when 80 is divided by s(14)?
11
Let t(u) = 40 - 6*u - u + 7*u - u. Calculate the remainder when 104 is divided by t(3).
30
Let s(w) = 11*w + 2. Let h(z) = 3*z + 4. Let r be h(0). Let u be -1 + 21/(12/r). What is the remainder when s(u) is divided by 18?
14
Suppose 2*c = -0*c + 12. Let g = -510 + 586. What is the remainder when g is divided by 396/10 + c/(-10)?
37
Let c = 120 + -70. Suppose 30 = 3*s - 2*m - c, 4*m + 136 = 5*s. Let z = 55 + -10. Calculate the remainder when z is divided by s.
21
Suppose -v + 405 = 3*v - m, -v + 110 = -2*m. What is the remainder when v is divided by (5 - (27 + -5))/(5/(-10))?
32
Suppose -59*r - 486 = -663. Calculate the remainder when 627 is divided by r.
0
Suppose k - 2143 = -36*k + 2556. Calculate the remainder when 287 is divided by k.
33
Let w = 2010 + -1927. Calculate the remainder when 159 is divided by w.
76
Let l = 2415 - 2252. Calculate the remainder when 323 is divided by l.
160
Let v = 144 + -146. Calculate the remai