+ 145*a**4/12 - 400*a**3/3 - 1920*a**2 + 2*a. Factor z(p).
-5*(p - 16)**2*(p + 3)
Let r be -6*((-25)/5)/10. Factor -h**5 + 2*h**2 + 3*h**5 + 2*h**2 - 6*h**r.
2*h**2*(h - 1)**2*(h + 2)
Let a be ((-8)/(-30))/((-422)/(-2110)). Factor a*j**2 - 16/3*j + 16/3.
4*(j - 2)**2/3
Suppose -3*g + 2*n + 10 = -2*g, -4 = -n. Suppose -11*s = -g*s. Factor 0 + 1/4*f**4 - 3/4*f**3 + s*f**2 + f.
f*(f - 2)**2*(f + 1)/4
Let t(b) = b**3 - 3*b**2 + 3*b - 8. Let p be t(3). Let i be (0 + 0 - p)*0. Let -1/3*l + 1/3*l**2 + i - 1/3*l**4 + 1/3*l**3 = 0. What is l?
-1, 0, 1
Suppose 18*m + 8*m - 78 = 0. Let j(a) be the first derivative of 2/3*a**m - 3/2*a - 1/2*a**2 + 9 - 1/10*a**5 + 1/4*a**4. What is w in j(w) = 0?
-1, 1, 3
Suppose -5*n + 4*h + 19 = 0, 2*n - 6*n - 4*h = -8. Let -33*q**4 + 4*q + 54*q**4 + n - 24*q**2 + 6*q**3 - 11*q**5 - q**5 + 2*q = 0. Calculate q.
-1, -1/4, 1
Factor -28*o**3 - 20*o**3 + 43*o**3 + 5*o**5.
5*o**3*(o - 1)*(o + 1)
Let v(f) = 8*f**4 - 17*f**3 - 24*f**2 + 14*f + 19. Let x(z) = -95*z**4 + 205*z**3 + 290*z**2 - 170*z - 230. Let n(i) = -35*v(i) - 3*x(i). Factor n(c).
5*(c - 5)*(c - 1)*(c + 1)**2
Find x such that x**3 + 0 - 1/2*x + 1/2*x**2 = 0.
-1, 0, 1/2
Let o(u) be the first derivative of u**4/18 - u**3/9 + 6*u - 15. Let f(c) be the first derivative of o(c). Factor f(d).
2*d*(d - 1)/3
What is g in 1/5*g**4 - 7/5*g + 3*g**2 + 0 - 9/5*g**3 = 0?
0, 1, 7
Factor -2/3*g**3 - 184/3 - 38/3*g**2 + 176/3*g.
-2*(g - 2)**2*(g + 23)/3
Let q = -145260/13 + 11174. Factor q*l**3 + 8/13*l**2 - 10/13*l + 0.
2*l*(l - 1)*(l + 5)/13
Determine s so that 0 + 2/3*s**4 - 14/9*s**2 - 10/9*s + 2/9*s**3 = 0.
-1, 0, 5/3
Let 8410 + 5/2*v**2 - 290*v = 0. What is v?
58
Let q(f) be the first derivative of -42 - 12*f + 4/3*f**3 + 8*f**2 - 2*f**4. Factor q(z).
-4*(z - 1)**2*(2*z + 3)
Let g(t) be the third derivative of 1/25*t**5 + 5*t**2 - 11/30*t**4 + 4/5*t**3 + 0*t + 0. Suppose g(s) = 0. What is s?
2/3, 3
Let d = -1746 - -1757. Let y(a) be the third derivative of -d*a**2 + 1/108*a**4 - 1/540*a**6 + 0 + 0*a - 1/270*a**5 + 1/27*a**3. Factor y(z).
-2*(z - 1)*(z + 1)**2/9
Suppose -2*h = 3*h - 20. Factor -12 + c**2 + 3 - h*c**2 + 12*c.
-3*(c - 3)*(c - 1)
Let v(q) be the first derivative of -q**5/12 - 5*q**4/24 + 5*q**3/3 - q**2/2 - 4. Let l(g) be the second derivative of v(g). Solve l(f) = 0.
-2, 1
Let v = 146/81 + -1444/891. Determine i, given that 8/11 + v*i**2 - 10/11*i = 0.
1, 4
Let l be -3502 - (17 + -2)/5. Let w = l - -17657/5. Solve -42*r**4 + 186/5*r**2 + 15*r**5 + 57/5*r**3 - w*r + 24/5 = 0.
-1, 2/5, 1, 2
Let q(s) be the first derivative of s**6/360 - 8*s**3/3 + 4. Let c(v) be the third derivative of q(v). Let c(r) = 0. Calculate r.
0
Suppose 0 = 81*q - 121*q. Factor 1/2*n**3 + q*n - 2 + 3/2*n**2.
(n - 1)*(n + 2)**2/2
Let y be (7 - 1)/(-2) - (-7 + -8). Let q be -3 + (-62)/(-24) + y/18. Factor q*n**2 - 1/2 + 1/4*n.
(n - 1)*(n + 2)/4
Let y(l) be the first derivative of -4*l**4/9 - 2*l**3/3 + 5*l**2/3 + 4*l/9 - 21. Factor y(q).
-2*(q - 1)*(q + 2)*(8*q + 1)/9
Let b = -66 - -69. Factor -6*q**3 - 50 + 50 + 5*q**b + 2*q - q**2.
-q*(q - 1)*(q + 2)
Factor 3/2*t**2 - 9*t + 0.
3*t*(t - 6)/2
Let x(u) = -2*u + 4. Let s be x(-1). Factor s*t + 44*t**2 - 53*t**2 + 4 - 1.
-3*(t - 1)*(3*t + 1)
Let w(b) = -8*b**3 + 15*b**2 + 8*b - 8. Let a(f) = -f + 7*f**2 - 3*f + 3*f + 5*f - 4 - 4*f**3. Let u(j) = -7*a(j) + 3*w(j). Find l such that u(l) = 0.
-1, 1
Let x be ((7 - -1) + -6)*18/12. Factor 1/7*p - 4/7 + 10/7*p**2 - p**x.
-(p - 1)**2*(7*p + 4)/7
Let f(m) be the second derivative of -m**9/4536 - m**8/1512 - m**7/1890 + 8*m**3/3 - 12*m. Let p(u) be the second derivative of f(u). Let p(j) = 0. What is j?
-1, -2/3, 0
Solve 0 - 2/11*z**4 - 38/11*z**3 + 0*z + 40/11*z**2 = 0 for z.
-20, 0, 1
Let m(l) be the third derivative of -l**6/24 - 7*l**5/12 - 5*l**4/4 - 185*l**2. Factor m(n).
-5*n*(n + 1)*(n + 6)
Let g(k) be the third derivative of -25*k**8/1344 + 19*k**7/56 - 187*k**6/96 + 251*k**5/48 - 15*k**4/2 + 35*k**3/6 - 110*k**2. Let g(z) = 0. What is z?
2/5, 1, 2, 7
Solve 32*r**2 + 2 + 6*r**3 + 40*r**3 - 30*r**3 + 40*r**3 + 2*r**2 - 20*r = 0 for r.
-1, 1/7, 1/4
Let d be 415/65 + -13 + 8. Let -10/13*b**3 - 8/13*b + 0 + d*b**5 - 24/13*b**2 + 24/13*b**4 = 0. Calculate b.
-1, -2/3, 0, 1
Let u(g) be the second derivative of -2*g**7/525 + g**6/450 + g**5/300 - 5*g**3/3 - 8*g. Let s(h) be the second derivative of u(h). Let s(m) = 0. Calculate m.
-1/4, 0, 1/2
Suppose -20 = -4*o + 16. Solve -29*g**2 - 3*g**4 - 6*g + 17*g**2 - 3*g**5 + 15*g**2 + o*g**3 = 0 for g.
-2, -1, 0, 1
Let s = -21/95 + 8/19. Suppose -c = c. Factor c + 2/5*l - s*l**2.
-l*(l - 2)/5
Let v(d) = -d**2 - d + 44. Let u be v(6). Suppose -9*f + 8 = -7*f - 2*g, 3*f - u = -2*g. Factor -10/9*k - 4/9 - 2/9*k**3 - 8/9*k**f.
-2*(k + 1)**2*(k + 2)/9
Factor 2/7*l**2 + 24/7*l + 0.
2*l*(l + 12)/7
Let p(r) = -5*r**4 + 45*r**3 + 51*r**2 - 45*r - 50. Let k(c) = -c**4 - 1. Let m(w) = 2*k(w) - p(w). Factor m(t).
3*(t - 16)*(t - 1)*(t + 1)**2
Factor 804*s**3 + 228*s**2 - 218923*s + 218923*s + 21*s**4.
3*s**2*(s + 38)*(7*s + 2)
Suppose -4*u + 5*u - 12 = -3*c, 5*c - 27 = -4*u. What is j in -4*j - 2*j**5 - j**5 - 8*j**4 + 8*j**2 + 4*j**5 + u*j**5 = 0?
-1, 0, 1
Let r = -20895 - -104877/5. Let c = -80 + r. Find b such that 1/5*b**5 + 2/5*b**4 + 1/5*b + c - 2/5*b**3 - 4/5*b**2 = 0.
-2, -1, 1
Factor -676/5*o**4 + 884/5*o**3 + 0 - 224/5*o**2 + 16/5*o.
-4*o*(o - 1)*(13*o - 2)**2/5
Let k = -45 - -93. Let c = k + -191/4. Factor c*u + 1/2*u**2 + 1/4*u**3 + 0.
u*(u + 1)**2/4
Suppose 3*u - u - 4*t - 8 = 0, -5*u = -4*t - 14. Let -10*l**2 - 14*l**u + 20*l - 24 + 20*l**2 = 0. Calculate l.
2, 3
Let -2/19*n**2 + 10/19 - 8/19*n = 0. Calculate n.
-5, 1
Let m be 0 + -17 - (-173 + 152). Solve -2/9*h**m - 2/9*h**2 + 2/3*h**3 + 4/9 - 2/3*h = 0 for h.
-1, 1, 2
Let n(a) = -a**2 + 15*a - 20. Let g be n(14). Let s be (2/g)/(7/(-63)). Factor 6*t**2 + 4*t + 0*t**5 - 3 - 6*t**3 - 3*t**4 + s*t**5 - t.
3*(t - 1)**3*(t + 1)**2
Let r(t) = t**3 + t**2 - 1. Suppose 0 = -0*f + 11*f - 33. Let v(a) = a**5 + 2*a**4 - 4*a**3 - 5*a**2 + 3. Let y(x) = f*r(x) + v(x). Find o, given that y(o) = 0.
-2, -1, 0, 1
Let k be 0/(1*(-4 + 2)). Suppose -3*z = -4*t + 11, 5*z + k*z = -5. Factor 3 - n**t - 9*n**4 + 3*n**2 - 20*n**2 + 24*n**3.
-3*(n - 1)**3*(3*n + 1)
Suppose -9*o + 8 = -10. Suppose 2*q = 4*j, -o*q + 2*j = 2*q - 6. Suppose 1/3*y**q + 0 - 1/3*y**4 + y**3 - 1/3*y - 2/3*y**5 = 0. What is y?
-1, 0, 1/2, 1
Let n(d) be the second derivative of -d**7/14 - 3*d**6/5 - 39*d**5/20 - 3*d**4 - 2*d**3 + 7*d - 2. Suppose n(r) = 0. What is r?
-2, -1, 0
Let u(i) be the third derivative of -i**6/180 + i**5/60 + 3*i**3/2 + 13*i**2. Let c(g) be the first derivative of u(g). Factor c(r).
-2*r*(r - 1)
Let b(d) = -2*d**3 + 16*d**2 + d + 4. Let i be b(7). Factor -80*z**2 + 0*z**5 + i*z**3 - 39*z**3 + 0 - 10 + 5*z**5 + 45*z - 30*z**4.
5*(z - 2)*(z - 1)**4
Let x(d) be the first derivative of -15*d**4/2 - 35*d**3/3 + 65*d**2/2 - 785. Factor x(y).
-5*y*(y - 1)*(6*y + 13)
Let r(d) be the third derivative of 49*d**6/960 - 91*d**5/160 + 3*d**4/4 - 5*d**3/12 + 412*d**2. Factor r(u).
(u - 5)*(7*u - 2)**2/8
Let h(n) be the third derivative of -n**7/630 + n**6/180 - n**4/36 + n**3/18 + 74*n**2. Factor h(j).
-(j - 1)**3*(j + 1)/3
Suppose 0*p = 5*p + 10. Let u be (8/p)/(-4) + 0. Let d(s) = s**2 - s + 1. Let h(x) = 3*x**2 - x - 1. Let a(v) = u*d(v) - h(v). Factor a(z).
-2*(z - 1)*(z + 1)
Let j(x) = -x**3 - 9*x**2 + 21*x - 9. Let h be j(-11). Let b be ((-70)/3)/(-7)*3/h. Solve -8/7*k**4 + 2/7*k + 8/7*k**2 + 0 + 4/7*k**3 - 6/7*k**b = 0.
-1, -1/3, 0, 1
Solve -2*g**2 - 2/3*g**3 - 4/3*g + 0 = 0.
-2, -1, 0
Let o be (-364)/(-18) + -2 - (-36)/(-162). Suppose -o*k = -23*k + 10. Let -1 + 7*a - 49/4*a**k = 0. Calculate a.
2/7
Suppose -2*z + z - 1 = -i, 2*i + 2 = 3*z. Factor i*w**4 - 5*w**2 + w**5 - 5*w**5 - 3*w**5 + 2*w**5 + 5*w**3.
-5*w**2*(w - 1)**2*(w + 1)
Suppose 168*v - 370 + 370 - 176*v + v**2 = 0. What is v?
0, 8
Suppose 3*z - 2 - 4 = 0. Suppose -l - z = -4. Factor 5*p**2 + 9 - l*p**3 + p**2 + 10*p - 3 - 4*p**2.
-2*(p - 3)*(p + 1)**2
Suppose -9*c + 1268 = -13*c. Let q = c - -953/3. Let q*w**5 + 8/3*w**4 - 8/3*w + 2*w**3 + 0 - 8/3*w**2 = 0. What is w?
-2, -1, 0, 1
Let l be (32 + -30)*24/9. Factor 2/3*z**2 + l*z + 32/3.
2*(z + 4)**2/3
Determine g, gi