w**4 + 2/11*w**5 - 2/11*w**3 + 0 - 2/11*w**r + 0*w = 0?
-1, 0, 1
Factor -2/5*g**4 + 192*g - 386/5*g**2 - 12*g**3 - 512/5.
-2*(g - 1)**2*(g + 16)**2/5
Factor 14/15 + 2/15*n**2 + 16/15*n.
2*(n + 1)*(n + 7)/15
Factor -6909/2*w**2 + 117077/2*w - 1/2*w**4 + 143/2*w**3 - 103823.
-(w - 47)**3*(w - 2)/2
Let n be 0 + (13/2)/(5/10). Let t(w) = w**2 - 15*w + 29. Let y be t(n). Suppose k - 6*k**5 + 0 - 9/2*k**2 + 0*k**y + 19/2*k**4 = 0. What is k?
-2/3, 0, 1/4, 1
Let l(t) be the second derivative of -t**5/4 - 5*t**4/2 + 5*t**3/6 + 15*t**2 - 13*t - 1. Factor l(h).
-5*(h - 1)*(h + 1)*(h + 6)
Let o(v) = -v**3 - 6*v**2 + 8*v + 6. Let j be o(-7). Let p be (9/21)/(j/(-7)). Determine z, given that 3/5 + 9/5*z + 9/5*z**2 + 3/5*z**p = 0.
-1
Factor 16/5 - 2/5*f**2 - 14/5*f.
-2*(f - 1)*(f + 8)/5
Let b(y) be the first derivative of 2*y**7/105 + y**6/10 + 2*y**5/15 + 2*y**2 + 5. Let t(v) be the second derivative of b(v). Determine g so that t(g) = 0.
-2, -1, 0
Suppose -p + 2*s + 4 = 0, 0 = -p + 3*s - 0*s. Let g = p - 81/7. Factor g*y**3 + 2/7*y**2 + 0*y + 0*y**4 - 1/7*y**5 + 0.
-y**2*(y - 2)*(y + 1)**2/7
Let z(f) = 2*f**3 + 12*f**2 - 2*f - 9. Let u(t) = 2*t**3 + 12*t**2 - 2*t - 10. Let y(o) = -3*u(o) + 2*z(o). Find x such that y(x) = 0.
-6, -1, 1
Let x(j) be the third derivative of -j**8/84 + 58*j**7/105 - 223*j**6/30 + 167*j**5/15 + 112*j**4/3 - 392*j**3/3 - 416*j**2. Let x(l) = 0. Calculate l.
-1, 1, 14
Suppose -60 = -82*p + 70*p. Let -4/3 - 8/3*i**3 + 8/3*i**2 - 4/3*i**4 + 4/3*i + 4/3*i**p = 0. Calculate i.
-1, 1
Let z(t) be the first derivative of -t**4/2 + 4*t**3 + 4*t**2 - 48*t + 262. Let z(c) = 0. What is c?
-2, 2, 6
Let i(q) be the third derivative of q**6/540 - 2*q**3 + 5*q**2. Let l(h) be the first derivative of i(h). Suppose l(g) = 0. What is g?
0
Let u be 2*(36/8 + 0). Let s = 11 - u. Let -4 + 5*p + s*p**2 + 0 - 3*p = 0. What is p?
-2, 1
Factor 94*y + 24*y**2 - 35*y**2 + 92 + 13*y**2.
2*(y + 1)*(y + 46)
Let b(x) be the second derivative of x**8/112 + x**7/35 - x**5/10 - x**4/8 + 5*x**2/2 - 13*x. Let a(p) be the first derivative of b(p). Factor a(y).
3*y*(y - 1)*(y + 1)**3
Let l(q) = 5*q**4 - q**3 - 75*q**2 - 93*q - 24. Let z(t) = 2*t**4 - t**3 - 38*t**2 - 47*t - 12. Let k(d) = 3*l(d) - 5*z(d). Find c such that k(c) = 0.
-2, -1, -2/5, 3
Let x(a) = 3*a**4 + 63*a**3 + 53*a**2 - 63*a - 62. Let n(u) = -2*u**4 - 62*u**3 - 52*u**2 + 62*u + 63. Let p(c) = 2*n(c) + 3*x(c). Factor p(w).
5*(w - 1)*(w + 1)**2*(w + 12)
Let t(g) be the second derivative of g**6/360 - g**5/48 - g**4/144 + 17*g**3/72 + g**2/2 + 121*g. Suppose t(p) = 0. What is p?
-1, 3, 4
Let x(a) = 2*a**2 - 17*a + 14. Let o be x(7). Let y be o/35 - (6/10 + -1). Factor y*v**3 + 0*v + 0 + 1/5*v**2.
v**2*(v + 1)/5
Let m(v) be the third derivative of -v**6/240 - v**5/180 + v**4/144 - 156*v**2. Solve m(i) = 0 for i.
-1, 0, 1/3
Let 4/9 - 2/3*q + 2/9*q**2 = 0. What is q?
1, 2
Factor -27 - 1/3*d**4 + 60*d + 20/3*d**3 - 118/3*d**2.
-(d - 9)**2*(d - 1)**2/3
Suppose 0 = 19*b + 9*b - 56. Factor 45/2*z - 6 + 6*z**b.
3*(z + 4)*(4*z - 1)/2
Let g(z) be the second derivative of z**8/3360 + z**7/840 - z**5/120 - z**4/48 + 41*z**3/6 - 32*z. Let d(w) be the second derivative of g(w). Factor d(c).
(c - 1)*(c + 1)**3/2
Let a(o) be the first derivative of 7*o**3/12 - 30*o**2 + 17*o + 197. Suppose a(c) = 0. What is c?
2/7, 34
Suppose 0 = -7*h - 95 - 94. Let t be h/33*2/(-3). Factor t*u + 2/11*u**2 + 0.
2*u*(u + 3)/11
Suppose 8*q = 10*q - 6. Find v, given that -724*v**2 + v**4 - q*v**4 + 728*v**2 - 2 = 0.
-1, 1
Let k = 82/63 - -157/315. Factor -3/5*s**2 + 0 - k*s.
-3*s*(s + 3)/5
Let m(c) be the first derivative of 5*c**4/4 + 50*c**3/3 + 144. Factor m(x).
5*x**2*(x + 10)
Let f(t) be the third derivative of t**8/224 + 23*t**7/280 - 3*t**6/32 - 7*t**5/16 + 13*t**4/32 + 3*t**3/2 + 4*t**2 + 10*t. Find r such that f(r) = 0.
-12, -1, -1/2, 1
Let b(x) be the first derivative of 8 + 42/5*x**2 - 2/5*x**3 - 294/5*x. Determine k so that b(k) = 0.
7
Let l = -238 - -4520/19. Let v = 66/95 - l. Factor -2/5*i + 6/5 - v*i**2.
-2*(i - 1)*(2*i + 3)/5
Suppose -10*r**5 + 60*r**4 + 328*r**2 + 245*r**3 + 123*r + 62*r**2 + 77*r + 15*r**5 = 0. Calculate r.
-5, -4, -2, -1, 0
Let u(z) be the third derivative of z**6/200 + 7*z**5/50 - 31*z**4/40 + 8*z**3/5 - z**2 - 21*z. Factor u(t).
3*(t - 1)**2*(t + 16)/5
Factor 2/13*m**2 - 22/13*m + 48/13.
2*(m - 8)*(m - 3)/13
Suppose 5/4*r**5 + 5*r**2 - 5*r**4 + 5/2*r**3 + 0 - 15/4*r = 0. What is r?
-1, 0, 1, 3
Let g = -556 + 556. Factor g + 1/8*a**2 - 1/4*a.
a*(a - 2)/8
Let d(u) be the first derivative of 1/3*u**6 + 1/2*u**2 + 7/5*u**5 + 1 + 0*u + 9/4*u**4 + 5/3*u**3. Let d(t) = 0. Calculate t.
-1, -1/2, 0
Let b = -2751/16 - -689/4. Let m = b + 3/16. Determine f, given that -1/2*f**3 + m*f + 1 - f**2 = 0.
-2, -1, 1
Let -2 - 1/4*i**4 - 5*i - 9/2*i**2 - 7/4*i**3 = 0. Calculate i.
-2, -1
Let z(b) = 72*b + 1010. Let a be z(-14). Let a*r + 0 - 1/2*r**2 = 0. What is r?
0, 4
Let d(h) be the first derivative of 2*h**3/45 + 106*h**2/3 + 28090*h/3 - 1016. Solve d(n) = 0.
-265
Let s(d) be the second derivative of -d**5/40 - d**4/24 + d**3/6 + 30*d. Factor s(r).
-r*(r - 1)*(r + 2)/2
Factor 62*q**2 - 37*q**2 + 22*q**2 + 4*q**3 + 93*q**2.
4*q**2*(q + 35)
Let f(a) be the third derivative of -a**7/840 + 11*a**6/160 + 23*a**5/80 + 35*a**4/96 + 553*a**2. Factor f(i).
-i*(i - 35)*(i + 1)**2/4
Find c, given that 9 - 3*c**3 - 1/2*c**5 + 10*c**2 + 39/2*c - 3*c**4 = 0.
-3, -1, 2
Let l be (3/(-6) + 34/(-12))*(-2850)/16625. Suppose 0 + 0*f - f**4 + l*f**3 + 3/7*f**2 = 0. What is f?
-3/7, 0, 1
Let c be ((-1630)/(-325) - 5)/7. Let a(y) be the third derivative of -1/78*y**4 + 0*y + 10*y**2 + 1/195*y**6 - c*y**7 + 0 + 0*y**3 + 1/390*y**5. Factor a(p).
-2*p*(p - 1)**2*(3*p + 2)/13
Determine x so that -2*x**3 + 0 + 0*x - 3/4*x**4 + 3/4*x**2 = 0.
-3, 0, 1/3
Factor 6/5*v**3 - 6/5*v - 18/5 + 7/2*v**2 + 1/10*v**4.
(v - 1)*(v + 1)*(v + 6)**2/10
Let l be 2/(1593/162 + 1/6). Factor -l*n**2 - 4/5 - 4/5*n.
-(n + 2)**2/5
Let j(y) be the third derivative of 1/80*y**5 + 0 - 11*y**2 - 1/16*y**4 + 0*y**3 + 0*y. Factor j(b).
3*b*(b - 2)/4
Let r(y) be the first derivative of -4*y**5/5 - y**4 + 12*y**3 - 22*y**2 + 16*y - 25. Factor r(q).
-4*(q - 1)**3*(q + 4)
Let n(o) be the first derivative of -o**3/15 + 107*o**2/10 - 106*o/5 - 351. Find b such that n(b) = 0.
1, 106
Let v be 3/(-2) + 6/12 + 4. Let q(j) = j**3 + j**2 + j - 1. Let n(i) = -i**3 + 7*i**2 + 11*i + 9. Let r(t) = v*q(t) + n(t). Solve r(s) = 0.
-3, -1
Factor 410 + 41*l + l**2 - 761 + 429.
(l + 2)*(l + 39)
Let r(q) be the third derivative of -q**5/90 + 3*q**4/4 + 58*q**3/9 + 502*q**2. Factor r(m).
-2*(m - 29)*(m + 2)/3
Let v be 5*(3 + -3 - (-4)/100). Let k(z) be the first derivative of v*z**5 + 1 + 0*z + 1/4*z**4 - 1/3*z**3 - 1/2*z**2. Factor k(l).
l*(l - 1)*(l + 1)**2
Let v = -2392/7 - -11967/35. Find s, given that -7/5*s + v*s**3 - 6/5 + 0*s**2 = 0.
-2, -1, 3
Let v be (-25)/(-45)*60/250. Let -v*s**2 + 0 - 2/15*s = 0. Calculate s.
-1, 0
Suppose -3*d = 3*j - 2574, -5*d - 3 + 23 = 0. What is g in j - 854 + 3*g**3 - 3*g**5 = 0?
-1, 0, 1
Let o(n) be the first derivative of 5*n**4 + 15*n**3 + 5*n**2 - 18. Factor o(y).
5*y*(y + 2)*(4*y + 1)
Let k be (-6)/9*9/(-6). Let j be k*4/(-12)*0. Let -3*r**4 + r**5 - 4*r**3 - r**2 + j*r**5 + 7*r**3 = 0. What is r?
0, 1
Let z(x) be the second derivative of -x**6/1260 - x**5/140 - 4*x**3/3 + x. Let l(n) be the second derivative of z(n). Factor l(c).
-2*c*(c + 3)/7
Let b be ((-2 + 0)*2)/2. Let q be 1/(3/(-24)*b). Factor -3*g**2 + g**3 - 3*g**q + 2*g**3 + 5*g**2 - 2*g**3.
-g**2*(g - 1)*(3*g + 2)
Let y = -97 - -100. Suppose 3*j - 27 = 3*l, 19 = y*j - 2*j - 3*l. Factor 2/11*z - 4/11*z**3 + 0*z**j + 0 + 0*z**2 + 2/11*z**5.
2*z*(z - 1)**2*(z + 1)**2/11
Let w(a) = 2*a**2 - 2*a - 2. Let g be w(-1). Let c be -9*4/84*g/(-3). Factor 6/7*s + 2/7*s**4 - 4/7 + c*s**2 - 6/7*s**3.
2*(s - 2)*(s - 1)**2*(s + 1)/7
Let m(w) be the second derivative of -w**5/10 + 5*w**4/3 - 17*w**3/3 + 8*w**2 + 21*w. Factor m(c).
-2*(c - 8)*(c - 1)**2
Let r = 2/4193 + 1196/4193. Find n such that 0 - 4/7*n**4 + r*n + 4/7*n**2 + 0*n**3 - 2/7*n**5 = 0.
-1, 0, 1
Let y(i) be the third derivative of i**7/6 - 5*i**6/4 - 139*i**5/12 + 35*i**4/4 + 201*i**2. Determine a so that y(a) = 0.
-3, 0, 2/7, 7
Let -2/13*x - 