pose 0 + 8/11*g**2 + u*g**3 + 0*g = 0. What is g?
-4, 0
Let c = -95/313 + 1453/3756. Let k(p) be the second derivative of 0 + p**2 - 1/2*p**3 + c*p**4 - 15*p. Determine g, given that k(g) = 0.
1, 2
Let m(y) be the first derivative of 17/15*y**3 + 12/5*y - 3/20*y**4 + 105 - 1/5*y**5 + 14/5*y**2 - 1/30*y**6. Find t, given that m(t) = 0.
-3, -2, -1, 2
Let q(b) = 3*b**2 - 30*b + 40. Let o(d) = 17*d**2 + 9*d - 9. Let r(h) = 4*h**2 + 2*h - 2. Let w(a) = 2*o(a) - 9*r(a). Let k(u) = q(u) - w(u). Factor k(m).
5*(m - 4)*(m - 2)
Let s(r) = 312*r + 1562. Let m be s(-5). Suppose 10/3*a**m - 1/2*a**5 - 2/3*a + 8/3*a**4 + 0 - 29/6*a**3 = 0. Calculate a.
0, 1/3, 1, 2
Let g be ((-25)/(-80))/((-155)/(-3720)). Let x(w) = w**2 + 2*w - 4. Let k be x(-4). Factor -5/4*h**k + 0*h - g*h**3 - 45/4*h**2 + 0.
-5*h**2*(h + 3)**2/4
Suppose 14*q + 105 - 365 = -12*q. Let b(i) be the third derivative of -1/12*i**5 + 0 + 1/42*i**7 - 1/24*i**6 + 0*i**3 + 0*i + 5/24*i**4 - q*i**2. Factor b(k).
5*k*(k - 1)**2*(k + 1)
Let u(r) be the second derivative of -r**7/189 + 158*r**6/135 - 5917*r**5/90 - 474*r**4 - 972*r**3 - 18*r + 15. Factor u(n).
-2*n*(n - 81)**2*(n + 2)**2/9
Let g(s) be the first derivative of -s**6/120 + s**5/20 - s**4/16 + 46*s - 180. Let a(l) be the first derivative of g(l). Factor a(c).
-c**2*(c - 3)*(c - 1)/4
Let g = -13952 - -697623/50. Let a(r) be the third derivative of 0 - 7/15*r**4 - 1/21*r**7 + 0*r - g*r**5 - 4/15*r**3 - 10*r**2 - 7/30*r**6. Factor a(x).
-2*(x + 1)**2*(5*x + 2)**2/5
Let o(q) be the third derivative of -1/14*q**3 - 1/20*q**5 + 5/56*q**4 + 3/280*q**6 + 0*q + 41*q**2 + 0. Factor o(v).
3*(v - 1)**2*(3*v - 1)/7
Suppose -5*f + 19221 - 7476 = 0. Let k be 60/80 - f/(-4). Suppose k*b + 100*b**3 - 1372/5 - 420*b**2 = 0. What is b?
7/5
Let s(g) be the third derivative of -g**5/45 + 392*g**4/9 + 1401*g**2. Determine q, given that s(q) = 0.
0, 784
Factor -1/6*j**3 - 6*j**2 - 70*j - 800/3.
-(j + 10)**2*(j + 16)/6
Let k = 4032 + -4028. Let d(s) be the second derivative of 2/15*s**6 - 2*s**2 + 9*s + 2/5*s**5 + 0 - 4/3*s**3 + 0*s**k. Solve d(n) = 0 for n.
-1, 1
Suppose 7*m - 2*m = 5, -m + 6 = x. Suppose -x*k + 4*k + 10 = 0. Factor h + 15*h**4 + 6*h**5 - 5 + 10*h**3 - 16*h - h**5 - k*h**2.
5*(h - 1)*(h + 1)**4
Let t = 27 - 22. Solve 14*o**4 - 10*o - 127*o**t + 129*o**5 - 2*o - 14*o**2 + 10*o**3 = 0 for o.
-6, -1, 0, 1
Determine g, given that 107*g**3 + 112*g**3 - 357*g**2 - 222*g**3 - 14621*g + 16497 - 158997 + 1421*g = 0.
-50, -19
Suppose 9274/3*d**3 + 141866/3*d - 52/3*d**4 - 138364*d**2 + 31684/3 = 0. Calculate d.
-2/13, 1/2, 89
Let s(o) be the second derivative of o**5/180 + 13*o**4/18 - 6*o**3 + 164*o**2/9 - 16*o - 24. Factor s(t).
(t - 2)**2*(t + 82)/9
Let i(c) = 1926*c + 26967. Let d be i(-14). Determine x, given that 1/3*x**d - 2/3 + 0*x**2 - x = 0.
-1, 2
Let p be (4/9)/(2 - (-48)/(-27)). Factor -28*o**p - 75*o**5 - 6 + 179*o**2 - 426*o**3 - 20*o**2 - 51*o + 133*o**2 + 294*o**4.
-3*(o - 1)**4*(25*o + 2)
Let k(p) = p**2 + 4*p + 11. Let z(y) = -2*y**2 - 7*y - 23. Let s(n) = n**2 - 26*n + 90. Let f be s(22). Let b(x) = f*z(x) + 5*k(x). Factor b(r).
(r + 3)**2
Suppose 4 = x + x, -w - 180 = 4*x. Let a = w - -198. Factor a*b + 3*b**2 + 25/3.
(3*b + 5)**2/3
Determine v, given that -v**2 - 1/5*v**4 + 0 - 4/5*v**3 - 2/5*v = 0.
-2, -1, 0
Let d(b) be the first derivative of -3*b**4/8 - 901*b**3/2 - 5397*b**2/4 - 2697*b/2 + 3265. Let d(v) = 0. Calculate v.
-899, -1
Let n be 248080/5796 - 42 - (-1)/(46/4). Find q, given that n*q**2 - 2/3*q + 0 - 2/9*q**3 = 0.
0, 1, 3
Suppose 0 + 1/4*y**4 - 167*y**3 - 333/2*y + 1333/4*y**2 = 0. What is y?
0, 1, 666
Let v(q) be the first derivative of 2*q**3/21 - 43*q**2/7 + 164*q/7 + 4495. Factor v(h).
2*(h - 41)*(h - 2)/7
Let q(s) be the third derivative of s**6/60 + s**5/15 - 5*s**4/12 - 2*s**3 - s**2 - s - 309. Factor q(y).
2*(y - 2)*(y + 1)*(y + 3)
Suppose 417*n - 3*d - 18 = 412*n, -2*d = 12. Factor n*z - 5/4*z**3 + 25/4*z**2 + 0.
-5*z**2*(z - 5)/4
Solve 128/3*d**2 - 28/3 - 118/9*d - 92/9*d**4 - 2/3*d**5 - 28/3*d**3 = 0.
-14, -3, -1/3, 1
Let m(y) be the first derivative of 4*y**3/3 + 4*y**2 - 140*y - 5498. Find g, given that m(g) = 0.
-7, 5
Let t(x) = x**3 - 3*x**2 - 4*x + 2. Let r be t(4). Let z = 0 + 2. Suppose -3*g**2 + z*g**r + g + 2*g = 0. Calculate g.
0, 3
Let l(h) be the first derivative of h**8/9240 - h**7/924 + 7*h**6/1980 - h**5/220 + 56*h**3/3 + 20. Let j(d) be the third derivative of l(d). Factor j(p).
2*p*(p - 3)*(p - 1)**2/11
Let t(q) = -215*q + 1724. Let o be t(8). Let f(r) be the first derivative of -243*r - 81*r**2 + 2 - 13/6*r**o + 24*r**3 + 1/15*r**5. Factor f(a).
(a - 9)**3*(a + 1)/3
Let l = 1628470/3 + -542823. Suppose 1/3*m**2 + l*m**3 - 1/3*m - 1/3 = 0. Calculate m.
-1, 1
Let w be (-55)/(-220) + 28/16. Let n(x) be the second derivative of -2*x - 8 + 1/2*x**3 - 9/5*x**w - 1/20*x**4. Factor n(v).
-3*(v - 3)*(v - 2)/5
Let q = -4379 - -52549/12. Let x(t) be the third derivative of 5/24*t**4 + 0 + 11*t**2 + 0*t - q*t**5 + 5/3*t**3. Factor x(s).
-5*(s - 2)*(s + 1)
Let p(o) be the third derivative of o**8/168 - 11*o**7/35 + 91*o**6/60 - 9*o**5/10 - 23*o**4/3 + 20*o**3 - 166*o**2 + 3. Find g such that p(g) = 0.
-1, 1, 2, 30
Let t(q) = -5*q**5 - 10*q**4 + 11*q**3 - 8*q**2 - 36*q. Let h(g) = -14*g**5 - 30*g**4 + 34*g**3 - 24*g**2 - 102*g. Let f(j) = -6*h(j) + 17*t(j). Factor f(c).
-c**2*(c - 8)*(c - 1)**2
Determine a so that 16110*a**3 + 72*a - 16*a**4 + a**4 + 114*a**2 - 3*a**5 - 21*a**4 - 16101*a**3 = 0.
-12, -1, 0, 2
Let i(v) be the first derivative of v**7/168 - v**6/8 - 39*v**3 + 111. Let d(p) be the third derivative of i(p). Factor d(f).
5*f**2*(f - 9)
Let v(t) be the second derivative of -5 + 37/2*t**3 - 39/4*t**4 + 3*t + 9/4*t**5 - 1/10*t**6 - 18*t**2. Factor v(g).
-3*(g - 12)*(g - 1)**3
Let x(r) = -7*r**2 - 134*r - 4252. Let k(m) = 20*m**2 + 401*m + 12730. Let v(h) = -6*k(h) - 17*x(h). Factor v(c).
-(c + 64)**2
Let p(t) be the third derivative of t**6/40 + 53*t**5/20 - 71*t**4/2 + 174*t**3 - 2*t**2 - 495. Factor p(f).
3*(f - 3)*(f - 2)*(f + 58)
Let u(w) = w**2 - 1. Let i(f) = f**2 - 32*f - 131. Let k = 34 - 52. Let r = 16 + k. Let d(v) = r*i(v) + 6*u(v). Factor d(a).
4*(a + 8)**2
Let x(o) be the first derivative of -14/9*o**3 + 3/2*o**4 - 91 - 7/3*o**2 - 2/9*o**6 + 2/15*o**5 + 4*o. Find b, given that x(b) = 0.
-2, -1, 1, 3/2
Let s(y) = 7*y**2 + 3472*y + 3493. Let z(a) = 25*a**2 + 13890*a + 13970. Let t(r) = 15*s(r) - 4*z(r). Find d, given that t(d) = 0.
-1, 697
Let v(b) = -2*b**3 - 40*b**2 - 156*b - 445. Let w be v(-16). Suppose 0 + 0*n + w*n**4 + 0*n**2 - 1/4*n**5 - 9*n**3 = 0. Calculate n.
0, 6
Let w(q) be the first derivative of -4*q**4 - 10*q**2 + 2/5*q**5 + 34/3*q**3 + 5 + 0*q. Factor w(y).
2*y*(y - 5)*(y - 2)*(y - 1)
Let f(t) be the first derivative of 1/2*t**3 + 9/4*t**4 - 18*t**2 - 1 - 30*t + 3/10*t**5. Determine a, given that f(a) = 0.
-5, -2, -1, 2
Let j(m) be the third derivative of 1/390*m**5 + 19/39*m**4 + 1444/39*m**3 - 64*m + 0 - m**2. Factor j(t).
2*(t + 38)**2/13
Let l(d) be the third derivative of -d**7/420 + 11*d**6/240 - 9*d**5/40 + 25*d**4/48 - 2*d**3/3 + 2*d**2 + 8312*d. Factor l(o).
-(o - 8)*(o - 1)**3/2
Let k(u) be the third derivative of u**5/120 - u**4/8 - 775*u**3/12 - u**2 + u + 826. Solve k(g) = 0.
-25, 31
Let h = 6057635 - 2247379535/371. Let b = h - 42/53. Suppose 16/7*m - b*m**3 - 16/7*m**2 - 20/7*m**4 + 0 = 0. Calculate m.
-2, -1, 0, 2/5
Let g(j) = 65*j**4 - 160*j**3 - 805*j**2 + 740*j + 80. Let l(t) = 5*t**4 - 12*t**3 - 62*t**2 + 57*t + 6. Let f(p) = -3*g(p) + 40*l(p). Factor f(v).
5*v*(v - 3)*(v - 1)*(v + 4)
Suppose 0 = 10*y - 17*y + 10962. Suppose 3*z - 4605 - y = 0. Factor 2057*r**3 + 8*r**2 - 4*r**4 - 4 - z*r**3.
-4*(r - 1)**2*(r + 1)**2
Let v be (66/2178*0)/(1*-2). Factor 8/3*m + v - 2/9*m**2.
-2*m*(m - 12)/9
Let m be 2/(-97) + (-148)/(-7178). What is i in 4/11*i**2 + m*i + 0 + 2/11*i**5 - 6/11*i**3 + 0*i**4 = 0?
-2, 0, 1
Let l(o) be the first derivative of -7/39*o**3 + 23*o + 10 + 1/78*o**4 - 8/13*o**2. Let q(b) be the first derivative of l(b). Factor q(m).
2*(m - 8)*(m + 1)/13
Suppose -94 = -3*m - 85. Suppose o = 2*o - m. Factor 6*r**2 - o*r + 3/4*r**4 - 15/4*r**3 + 0.
3*r*(r - 2)**2*(r - 1)/4
Factor 1/7*v**3 + 724/7*v - 185/7*v**2 + 0.
v*(v - 181)*(v - 4)/7
Su