ppose -b = 4*z - 62, 4*z + 158 = 3*b + 2*z. Calculate the remainder when ((-6099)/38)/((-3)/6) is divided by b.
51
Let u(q) = -9*q**3 + 5*q**2 + 5*q + 1. Suppose 4*z = -5*o + 1637, 4*o - 3*z = 301 + 1021. What is the remainder when o is divided by u(-2)?
80
Let l(g) = 2*g**2 - 5*g - 4. What is the remainder when l(6) is divided by ((-1078)/(-308))/(7/48)?
14
What is the remainder when 190/475 - (-5716)/10 is divided by 183?
23
Let o = 319 - 241. What is the remainder when 158 is divided by o?
2
Let a(s) = -5*s**3 + 57*s**2 + 104*s + 2. Let b(v) = 0 + 1 + v**3 + 0 + 5*v**2 - 6*v. Calculate the remainder when a(13) is divided by b(-6).
0
Calculate the remainder when ((6/14)/(112/(-78008)))/((-6)/8) is divided by 85.
58
Suppose 73*a = 46*a + 4212. Calculate the remainder when 322 is divided by a.
10
Let v(j) = -j**2 + 17*j - 46. Let l be v(15). Let r(a) = a**3 + 19*a**2 - 2*a - 31. What is the remainder when r(l) is divided by 35?
34
Let j(x) = 2*x**3 - 65*x**2 + 34*x - 65. Let p be j(32). Let y(r) = -36*r - 2. What is the remainder when y(-4) is divided by (-6)/5*(-31 - p)?
34
Suppose 33*s - 6024 = -223*s + 5*s. What is the remainder when 27 is divided by s?
3
Suppose 5*j - 10*j = 2*x - 766, 5*x - 1978 = -2*j. What is the remainder when x is divided by 120?
38
Let l(t) = -t**2 + 50*t + 716. What is the remainder when l(41) is divided by 12?
5
Let m(i) = -39*i**2 - 215*i - 32. Let j = -64 - -91. Calculate the remainder when m(-5) is divided by j.
14
Let c = -274 + 403. Let a = c + -113. What is the remainder when 29 is divided by a?
13
Suppose m = -6*z + 9*z - 41, 4*m - 18 = -z. Calculate the remainder when (z/(-3))/((-1)/21) is divided by 26*1 + 1/(-1).
23
Suppose 4*p = 6*p + 1052. Let g = -508 - p. Calculate the remainder when 0/(-1)*-1 - -24 is divided by g.
6
Suppose 38 = x - u - 7, -204 = -4*x - 2*u. Calculate the remainder when 72 is divided by x.
23
Let t = 7 + -1. Calculate the remainder when t is divided by ((-30)/(-45))/((-5)/(-30)) - 0.
2
Calculate the remainder when ((-6)/(-42))/((-12)/(-31164)) is divided by 18.
11
Let v = -12369 - -12390. What is the remainder when 1376 is divided by v?
11
Let d(p) = p**3 + 19*p**2 - 22*p + 48. Suppose 2*c = 4*a - 265 + 65, -12 = 2*c. What is the remainder when d(-20) is divided by a?
41
Suppose 0 = 4*w + 4*a - 8200, -29*w - 5*a = -33*w + 8254. What is the remainder when w is divided by 229?
224
Let o = -300 - -302. What is the remainder when (o - 0)/(-4 - (-1332)/330) is divided by 5?
0
Let h(u) be the third derivative of -u**5/60 + 5*u**4/4 - 19*u**3/2 - 2*u**2 + 127*u. Suppose 31 + 29 = 4*j. What is the remainder when h(22) is divided by j?
14
Let k(m) = 5*m**2 + 21*m + 166. Calculate the remainder when k(-9) is divided by 106.
64
Let n(u) = 108*u - 1217. Calculate the remainder when n(29) is divided by 64.
59
Suppose -77*z + 3486 = 6*z. Suppose -187 = -5*h + 3*y, 23 = h + 2*y + y. What is the remainder when z is divided by h?
7
Suppose -4*u = -0*u - 36. Suppose -6*o = -2*o - 4*j + 24, -3*j + 19 = -4*o. Calculate the remainder when ((-1)/(-2))/((10/(-1020))/o) is divided by u.
6
Suppose 0 = 3*a + 11 - 50. Suppose 392*v - 396*v = 3*n - 91, -4*n - 112 = -4*v. What is the remainder when v is divided by a?
12
Suppose -t - 3*c + 21 = 0, 112*t - 107*t = -6*c + 78. What is the remainder when 1606 is divided by t?
10
Suppose -2*m - 4*g - 2 = -4*m, 0 = 3*m + 4*g - 13. Suppose -r + 18 = 2*f, 0 = m*f + 2*f - 10. What is the remainder when (-9)/(5/((-160)/3)) is divided by r?
12
Let p(l) = -3*l + 32. Let w be 10*(8 + -7 - 0/(-2)). Let y be p(w). Suppose -2 + 36 = y*x. Calculate the remainder when 29 is divided by x.
12
Let g = -10131 - -11727. What is the remainder when g is divided by 20?
16
What is the remainder when 710 is divided by 992/(-155)*10/3*(-6)/4?
6
Calculate the remainder when 2436 is divided by 556/8 + 183/(-122).
56
Suppose 11*j = 6*j + 4250. Suppose -5*u + j = q, q - 357 = -2*u + 4*q. What is the remainder when u is divided by 11?
6
Let g(v) = -5*v**2 - 97*v - 15. What is the remainder when g(-19) is divided by ((-12)/9)/(2/(-9))?
5
Let r(k) = k**3 + k**2 - 2. Suppose -1 = 2*b - 17. Suppose 0 = -2*t - 4 + b. Calculate the remainder when r(2) is divided by t.
0
Suppose 9*h + 3*w - 534 = 0, -264*w + 266*w - 242 = -4*h. Let j = 2 - -8. Calculate the remainder when h is divided by j.
7
Let k(i) = i + 6. Suppose -6*d = -5*d. Suppose 0 = -s - m + 20, -s = -d*s + 2*m - 22. Calculate the remainder when k(s) is divided by 9.
6
Let h(b) = 2*b**3 + 17*b**2 - 13*b + 1. Calculate the remainder when h(-7) is divided by 20.
19
Let k(m) = -5*m**2 - 13*m - 4 - 8 + m**3 - m**2 + 14. Calculate the remainder when k(8) is divided by 5.
1
Calculate the remainder when 307 is divided by (-4329)/(-156) + (-5)/(-20).
27
Suppose u - 5 = 2*f, f = 5*u + 3*f - 85. Let g be 10/2*(-2 - -3). Suppose 0*l + u = g*l. What is the remainder when 3 is divided by l?
0
Let p = -12681 + 24454. What is the remainder when p is divided by 95?
88
Let q be (3 - 4/3)*3. Suppose -q*a = -0*a - 20. Let b(v) = -v**2 - 6*v + 6. What is the remainder when b(-3) is divided by a?
3
Suppose -1457*m = -1462*m + 120. What is the remainder when (-2272)/m*15/(-10) is divided by 40?
22
Let h = -13 - -26. Suppose 188 = 601*q - 593*q - 212. Calculate the remainder when q is divided by h.
11
Let u(k) = k**3 + 44*k**2 + 117*k - 90. Let v be u(-41). Suppose 172*w = v*w + 1536. Calculate the remainder when w is divided by 27.
15
Let q be 1*2 - (26 + -26). Let o(f) = -q*f + 173 - 335 + 175. Calculate the remainder when 101 is divided by o(0).
10
Let p(d) = 59*d**3 + 4*d**2. Let x(w) = w**3 + 2*w**2 - w + 7. Let y be x(-3). Calculate the remainder when p(y) is divided by 6.
3
Let b be 62 + -5 + 1 + -1. Suppose 2*l - 13 = b. What is the remainder when 104 is divided by l?
34
Let t = 42 - -1. Suppose -12*m + 15*m + 5*v - t = 0, v = 3*m - 49. Calculate the remainder when 28 is divided by m.
12
Let f = -4138 + 4461. What is the remainder when f is divided by 7?
1
Let w(d) = d**2 + d. Let o(z) = 7*z**2 + 19*z + 46. Let x(k) = o(k) - w(k). Calculate the remainder when x(-4) is divided by 12.
10
Let s(z) = -z**3 - 6*z**2 - 2*z - 2. Suppose 0 = -32*t + 29*t + 87. Calculate the remainder when 2*t + -39 + 47 is divided by s(-6).
6
Let z = 2134 - 2121. Calculate the remainder when 72 is divided by z.
7
Suppose -198 = -2*k + 4*g, -8 = 5*g - 3. Let i = k - 91. What is the remainder when 33 is divided by i?
3
Let i(y) = -26 - 3*y + 8 - 6 + 2*y. Let p be i(-11). Let o = -2 - p. Calculate the remainder when 76 is divided by o.
10
Let j(f) = -14*f + 39. Let a be j(20). Let v = -178 - a. Calculate the remainder when v is divided by 18.
9
Let u(h) = -19*h**3 + h**2 - 11*h - 12. Calculate the remainder when 18845 is divided by u(-1).
16
Suppose -209*h + 437655 = -214452 + 52068. What is the remainder when h is divided by 169?
167
Let p = 61 - 58. Suppose -4*z + 113 = 5*m, -4*m - 50 = 3*z - 5*z. Suppose p*u = 9 + z. Calculate the remainder when 33 is divided by u.
9
Let g(y) be the first derivative of 10*y**3/3 - 5*y**2/2 + y - 3. What is the remainder when g(4) is divided by (1 - 2 - -14)/(439/439)?
11
Let n(k) = 423*k + 135. Let z be n(-9). Calculate the remainder when (-7)/(210/z) - 4/10 is divided by 25.
22
Suppose -3*c - 4*q = 16, 4*q = -0*q - 16. Suppose -x - 12 - 11 = c. Let w = x + 50. Calculate the remainder when w is divided by 14.
13
What is the remainder when 1069 is divided by 97060/1260 + (-14)/441?
68
Let j be (-45)/60 + 13/(-4). Calculate the remainder when 248 is divided by (((-7280)/(-50))/(-13))/(j/30).
80
Suppose 0 = 18*a - 16*a - 184. Let z be 254/5 + a/(-115). Suppose 5 = 5*q - z. What is the remainder when 31 is divided by q?
9
Suppose -13*p + 2030 = p. Suppose 5*o - 40 - p = 0. What is the remainder when 147 is divided by o?
36
Suppose -14*n - 99*n = -87123. Calculate the remainder when n is divided by 17.
6
Let w(t) = -t**3 + 14*t**2 - 18*t + 10. Suppose 2*q - 7 + 29 = c, 2*c + 4*q - 4 = 0. Calculate the remainder when w(c) is divided by 17.
14
Suppose -4*y + 35448 = 46*y - 26*y. Calculate the remainder when y is divided by 247.
242
Let v(z) = 211*z - 878. Calculate the remainder when v(5) is divided by 30.
27
Suppose 0 = 5*k - 3*i - 94, -4*i + 2*i = 