 93461*o**2 - 93456*o**2 + 1 - 1 + 1205*o.
5*o*(o + 241)
Let n = 338237/5848 + 27/731. Let l = n - 459/8. Factor -1/4*c + 0*c**4 + 0 + l*c**3 + 0*c**2 - 1/4*c**5.
-c*(c - 1)**2*(c + 1)**2/4
Let o(p) = p**3 - 6*p**2 - p + 8. Let f be o(6). Let k = -205 - -377. Suppose -3*a**4 - 19*a**3 + k*a**f + 7*a**3 - 184*a**2 = 0. Calculate a.
-2, 0
Let s(g) be the first derivative of -g**6/180 + 9*g**5/10 - 243*g**4/4 - 98*g**3/3 - 106. Let d(l) be the third derivative of s(l). Factor d(q).
-2*(q - 27)**2
Let c = 4879893/79072 + -3/11296. Let m(s) be the first derivative of 12/7*s**3 + c*s + 1/14*s**4 + 15 + 108/7*s**2. Factor m(z).
2*(z + 6)**3/7
Let r(x) = -8*x + 48. Let m be r(-12). Suppose -5*o = -13*o + m. Factor -36*f + 39*f**2 + o*f**3 + 39*f + 0 - 6.
3*(f + 2)*(2*f + 1)*(3*f - 1)
Let r(u) be the third derivative of -u**5/120 + 313*u**4/48 - 26*u**3 - 1110*u**2. Determine w, given that r(w) = 0.
1, 312
Let r(g) be the third derivative of -60*g**2 - 1/30*g**5 + g - 4/15*g**3 + 0 - 1/5*g**4. Factor r(q).
-2*(q + 2)*(5*q + 2)/5
Determine v so that -2/9*v**2 + 4*v + 14 = 0.
-3, 21
Let o(i) = i**3 + 16*i**2 - 13333*i - 213326. Let f be o(-16). Factor -5/3 - 1/3*n**f + 2*n.
-(n - 5)*(n - 1)/3
Let x be 76/(-1) - (-3)/(-3). Let w = 15 - x. Determine p so that -7*p**5 + 2*p**5 + 10*p**3 - w*p + 87*p = 0.
-1, 0, 1
Let p(v) be the second derivative of -42*v + 11/12*v**4 + 2 - 1/20*v**5 + 14*v**2 - 16/3*v**3. Find r, given that p(r) = 0.
2, 7
Let k(p) be the third derivative of -p**7/350 - p**6/25 - 11*p**5/100 + p**4/2 - 551*p**2 + p. Solve k(y) = 0.
-5, -4, 0, 1
Let c be 2*2 - (-182)/(-39) - (-280)/60. Let a(s) be the second derivative of -s - s**3 + 0 + 3/4*s**c - 3/20*s**5 + 0*s**2. Factor a(z).
-3*z*(z - 2)*(z - 1)
Let y(i) be the second derivative of 1/4*i**4 + 23/2*i**3 + 0 - 65*i - 36*i**2. What is c in y(c) = 0?
-24, 1
Suppose -2*h = -j - 4*h + 26, -3*j = h - 63. Suppose -5*k = x - j, -2*x - 2*k - 2*k = -28. Determine n, given that 4*n - 19*n - 3*n**2 + 0 - 2 - x = 0.
-4, -1
Let f(r) = -3*r**2 + 14*r - 19. Let d be f(7). Let m = d - -118. Determine n, given that m*n**4 + 1 - 20*n - 2 - 13 + 20*n**3 - 48*n**2 + 12 = 0.
-1, -1/5, 1
Determine t so that -2996*t**3 + 66*t**5 - 165*t**4 - 69*t**5 - 3*t - 165 + 330*t**2 + 3002*t**3 = 0.
-55, -1, 1
Let c(s) = -2*s**2 + 13*s - 3. Let i be c(6). Determine g, given that 27*g + 38*g - 81 - 2*g + 17*g**2 - 340*g**i + 341*g**3 = 0.
-9, 1
Let y be ((-84)/(-30))/(112/80). Solve 0 - 2*o - 1/7*o**y = 0.
-14, 0
Let w be (-140)/(-25) + -5 - 860/(-25). Let u(f) be the first derivative of -1/18*f**3 - 1/6*f**2 + 1/12*f**4 + 0*f + 1/30*f**5 + w. Factor u(j).
j*(j - 1)*(j + 1)*(j + 2)/6
Let u(c) be the third derivative of c**7/1470 - 11*c**6/168 - c**5/420 + 55*c**4/168 - c**2 - 1741. Factor u(b).
b*(b - 55)*(b - 1)*(b + 1)/7
Let v = 34 - 51. Let i be (8/(-10))/((51/180)/v). Factor -49*x - 3 + 1 + x**2 + i*x.
(x - 2)*(x + 1)
Let o = 0 - -12. Suppose 0*f - 2*f + 4*w = o, -4*f + 12 = w. Factor -139 + 58 - 5*b**f + 53 + 48.
-5*(b - 2)*(b + 2)
Let w(z) be the first derivative of -z**5/55 - 9*z**4/44 + 3*z**3/11 + 81*z**2/22 + 2855. Determine a so that w(a) = 0.
-9, -3, 0, 3
Let g(i) = i**2 - 3*i + 9. Let f be g(0). Factor f*b**4 + 3*b**2 + 9*b**3 + 551 + 3*b**5 - 551.
3*b**2*(b + 1)**3
Let j(q) = q**3 + 2*q**2 - 6*q + 11. Let w be j(-4). Factor -9*h**5 + 6*h**5 + 7*h**5 + 7*h**2 - 3*h**5 + 9*h**w + 5*h**4 + 2*h.
h*(h + 1)**3*(h + 2)
Let r = -2701/3 - -896. Let c = 59/9 + r. Factor 16/9*l**2 - c*l - 4/9*l**3 + 8/9.
-4*(l - 2)*(l - 1)**2/9
Let r(t) = -469*t**2 - 4657*t + 972. Let u(i) = 233*i**2 + 2329*i - 474. Let y(d) = -6*r(d) - 13*u(d). Factor y(n).
-5*(n + 11)*(43*n - 6)
Let a(r) = r**4 + 5*r**3 + 6*r**2 - 8*r + 2. Let s(l) = 4*l**4 + 16*l**3 + 19*l**2 - 22*l + 7. Let u(x) = -14*a(x) + 4*s(x). Determine z, given that u(z) = 0.
-2, 0, 2, 3
Let d be (5/(-10))/(1/(-4)). Factor 3*c**2 + 7*c - 80 + c**d - 5*c + 2*c.
4*(c - 4)*(c + 5)
Let f = 1387 - 1378. Let c be (13 + -14)/(-5 + 42/f). Factor 0 + 0*k**c + 0*k + 4/7*k**2 - 1/7*k**4.
-k**2*(k - 2)*(k + 2)/7
Suppose -51 = 33*i - 12855. Let a = i - 388. Factor -2*o**2 - 16/9*o - 2/9*o**3 + a.
-2*o*(o + 1)*(o + 8)/9
Let p(a) be the third derivative of -a**8/40320 - a**7/2016 + 47*a**5/15 + 328*a**2. Let g(k) be the third derivative of p(k). Factor g(l).
-l*(l + 5)/2
Let u(w) be the first derivative of -w**8/168 + 2*w**7/105 - w**5/15 + w**4/12 - 7*w**2/2 - 15. Let z(b) be the second derivative of u(b). Factor z(v).
-2*v*(v - 1)**3*(v + 1)
Suppose 5*u - 5*p = 35, 17*p - 19*p - 2 = 0. Let v be 432/(-96)*((-4)/u)/1. Solve -1/9*j**4 + 1/3*j**2 + 4/9*j - 2/9*j**v - 4/9 = 0 for j.
-2, 1
Let u(w) be the second derivative of 5*w**4/9 + 985*w**3/36 - 125*w**2/4 + w + 1146. Factor u(y).
5*(y + 25)*(8*y - 3)/6
Let n(k) = k**3 - 5*k**2 + 11*k - 9. Let b be n(4). Determine g, given that -12*g**2 + 11*g - 32*g + 12 + b*g + 2*g**3 = 0.
-1, 1, 6
Suppose -8*t + 5*s = -66, -30*t - 28 = -34*t + 2*s. Let 0*x + 176/17*x**3 + 2/17*x**4 + 3872/17*x**t + 0 = 0. Calculate x.
-44, 0
Factor -32/7*k + 2/7*k**3 - 8 + 26/7*k**2.
2*(k - 2)*(k + 1)*(k + 14)/7
Let r(o) = -25*o - 17*o**2 - 10 - 2*o**3 + 16*o + 2*o**3 + 2 - 2*o**3. Let k be r(-8). Let k + 0*a - 5/3*a**3 + 5/3*a**4 + 0*a**2 = 0. Calculate a.
0, 1
Factor 74/9*p**2 + 154/9*p - 2/9*p**3 + 26/3.
-2*(p - 39)*(p + 1)**2/9
Find h, given that 4/3*h**2 - 1064/3 + 524/3*h = 0.
-133, 2
Let n = -269786 - -1081169/4. Factor n - 45/2*x + 1/4*x**2.
(x - 45)**2/4
Let v be ((-1)/2 - 1)/((-6)/88). Solve v*j**2 - 2*j + 24*j**4 - 22*j**3 - 26*j**4 - 4 + 8*j**4 = 0 for j.
-1/3, 1, 2
Let s(k) be the second derivative of k**6/70 + 72*k**5/35 - 99*k**4/28 - 97*k**3/7 - 3*k + 132. Factor s(y).
3*y*(y - 2)*(y + 1)*(y + 97)/7
Let c(r) be the third derivative of -r**5/90 + 199*r**4/6 + 1195*r**3/9 - 2*r**2 + 44*r - 18. Determine i so that c(i) = 0.
-1, 1195
Let f be ((-9)/(-24))/((-111)/(-148)). Let o(t) be the second derivative of 0 + 13*t + 1/24*t**4 + 1/12*t**3 - f*t**2. Suppose o(m) = 0. Calculate m.
-2, 1
Let n(t) be the second derivative of 9*t - 12*t**2 + 2/3*t**3 - 3 + 1/3*t**4. Factor n(m).
4*(m - 2)*(m + 3)
Let h(m) be the first derivative of 3*m**6 + 39*m**5/5 - 9*m**4/2 - 13*m**3 - 6470. Determine k so that h(k) = 0.
-13/6, -1, 0, 1
Let r(p) = -13*p**2 - 300*p + 1620. Let f(l) = 490*l**2 + 11100*l - 59940. Let j(w) = -2*f(w) - 75*r(w). Factor j(x).
-5*(x - 54)*(x - 6)
Let 27/2*x**2 + 0 - 9/4*x**3 - 4*x**5 + 27/4*x - 14*x**4 = 0. Calculate x.
-3, -3/4, 0, 1
Let q(s) = -3*s**3 + 3*s**2 + 6*s. Let i(v) = 2*v**3 - 3*v**2 - 5*v. Let p(d) = -6*i(d) - 5*q(d). What is h in p(h) = 0?
-1, 0
Suppose 7*b - 270 = -23*b. Let f be 1/(-3)*b/(-8)*4. Suppose 3*q**2 - 21/4*q - f = 0. Calculate q.
-1/4, 2
Let y(h) be the first derivative of -5*h**4/4 + 280*h**3/3 - 525*h**2/2 - 810*h + 4556. What is v in y(v) = 0?
-1, 3, 54
Suppose -4*o = -2*p, 6 = -3*o - 10*p + 13*p. Factor -32*m**2 + o - 42*m + 8 - 6*m**3 + 70*m**2.
-2*(m - 5)*(m - 1)*(3*m - 1)
Let q be ((-88)/(-55))/((-4)/(-30)). Factor 21*o**2 + 3*o - q*o**3 + 12*o**2 + 6*o.
-3*o*(o - 3)*(4*o + 1)
Let o be (93/(-2))/(60/(-400)). Let p = o + -619/2. Factor 0 - 3/2*n + p*n**2.
n*(n - 3)/2
Suppose 182*o**4 - 52525*o - 177*o**4 - 275*o**3 + 585*o + 5670*o**2 + 178360 = 0. What is o?
13, 14
Let l(z) be the second derivative of -4*z**6/15 + 47*z**5/30 - 22*z**4/9 - 4*z**3/9 + 484*z - 1. Factor l(n).
-2*n*(n - 2)**2*(12*n + 1)/3
Let l(w) be the first derivative of -85/4*w**4 + 57 + 0*w**2 - 5/3*w**3 + 0*w. Factor l(j).
-5*j**2*(17*j + 1)
Suppose 0 = 24*i - 16*i - 16. Factor -32*h**i + 33*h**2 - h + 2*h.
h*(h + 1)
Let t = -35/7069 + 1060595/49483. Factor -26/7*a**2 - 2/7*a**3 - 110/7*a - t.
-2*(a + 3)*(a + 5)**2/7
Let x = -304 + 307. Find i such that 1113*i**2 - 3231*i**x - 4165*i + 2281*i**3 + 1445 + 2717*i**2 + 24*i**4 - 179*i**4 - 5*i**5 = 0.
-17, 1
Suppose -18*u + 14 = -11*u. What is i in -12*i**2 + 2*i + 7*i**u - 7*i**2 = 0?
0, 1/6
Let k = 105754 + -105754. What is r in k - 1/4*r**2 + 1/2*r = 0?
0, 2
Let v(z) = -35*z - 103. Let f be v(-3). Find c, given that 145*c + 2*c**2 + 3*c**f + 3*c**2 - 150 - 3*c**2 = 0.
-30, 1
Suppose -2*d = 4*o - 52, -8*d + 11*d = -2*o + 62. Suppose d*n + 11*n - 58 = 0. Find r such that -8/5*r + 2/5*r**4 - 8