2 - 2/69*x**3 + 1/46*x**4 + 4 + 0*x + 2/115*x**5. Factor y(c).
2*c*(c - 1)*(c + 1)**2/23
Let o(h) be the first derivative of 3*h**3 + 11*h**2/2 + 12*h - 18. Let y(p) = p**2 - p. Let t(c) = o(c) - 5*y(c). Find a, given that t(a) = 0.
-3, -1
Let j(x) be the first derivative of -4/3*x**3 + 2 + 2*x**4 + 8*x + 1/12*x**6 - 7/10*x**5 - 4*x**2. Factor j(c).
(c - 2)**4*(c + 1)/2
Let o(m) be the first derivative of -2*m**5/85 - 5*m**4/17 - 22*m**3/17 - 40*m**2/17 - 32*m/17 + 111. Factor o(n).
-2*(n + 1)**2*(n + 4)**2/17
Let j = -597 + 597. Factor 4/7*n**2 + j + 0*n - 2/7*n**3.
-2*n**2*(n - 2)/7
Let k be ((-110)/(-385))/(0 - (-12)/70). Factor k*i + 5/3*i**2 - 10/3.
5*(i - 1)*(i + 2)/3
Let b(h) be the first derivative of 5*h**4/16 + 115*h**3/12 + 715*h**2/8 + 605*h/4 + 63. Factor b(g).
5*(g + 1)*(g + 11)**2/4
Let o be 4/((-44)/(-31)) + -3 + 0. Let d = o + 37/22. Factor -1/2*i**3 + 1/2 - 3/2*i + d*i**2.
-(i - 1)**3/2
Let k(n) be the first derivative of -2*n**5/45 + 7*n**4/18 + 14*n**3/9 - 3*n**2 + 234. Solve k(s) = 0 for s.
-3, 0, 1, 9
Let 3/8*g**4 + 0 + 21/4*g**3 + 0*g + 39/8*g**2 = 0. Calculate g.
-13, -1, 0
Suppose -4*l + k = -20, l + 3*k + 15 = 4*l. Let r(u) be the third derivative of 1/40*u**6 + 0 + 5/8*u**4 + 1/5*u**l + 0*u - 3*u**2 + u**3. Factor r(z).
3*(z + 1)**2*(z + 2)
What is y in 1/6*y**2 - 13/6*y - 8 = 0?
-3, 16
Suppose 3*n = -3*x + 33, 0 = n + n + 4*x - 32. Suppose -76 + 106 = n*t. Factor -z**2 + 2*z**4 - 1 - 5/2*z + 2*z**3 + 1/2*z**t.
(z - 1)*(z + 1)**3*(z + 2)/2
Let s be (-2 - (-1)/(-2))*(-8)/(-12). Let i = 3 + s. Suppose -2/3*c**2 - i*c + 0 = 0. Calculate c.
-2, 0
Let c be (36/(-49))/(-2)*37/(2886/728). Find n, given that -66/7*n**4 + 0 + 54/7*n**5 + 0*n - 96/7*n**3 + c*n**2 = 0.
-1, 0, 2/9, 2
Let f = 6623 + -6620. Factor 0 + 0*o + 6/5*o**2 - 3/5*o**f.
-3*o**2*(o - 2)/5
Let q(f) be the second derivative of -f**4/14 - f**3/7 + 18*f**2/7 + 17*f - 2. Factor q(n).
-6*(n - 2)*(n + 3)/7
Let v(k) be the second derivative of k**4/3 - 6*k**3 + 40*k**2 + 6*k. Factor v(j).
4*(j - 5)*(j - 4)
Suppose 20 + 16*w + 1/5*w**3 - 19/5*w**2 = 0. What is w?
-1, 10
Let n(l) be the third derivative of l**5/30 + 11*l**4/36 - 4*l**3/9 - 38*l**2. Let n(y) = 0. What is y?
-4, 1/3
Let r be 152/7 - (-26)/91. Factor -i**2 + r*i - 2*i - 20 + i**2 - 5*i**2.
-5*(i - 2)**2
Factor 29*p - 67*p + 148*p**2 - 111*p - 48 + 28*p**3 + 21*p.
4*(p - 1)*(p + 6)*(7*p + 2)
Let y(w) be the second derivative of 14/5*w**4 + 5/2*w**3 + 12/25*w**5 + 0 + 9/10*w**2 + 5*w. Determine c, given that y(c) = 0.
-3, -1/4
Let n(f) = 1870*f - 26176. Let l be n(14). Factor 0 + 0*k - 1/7*k**l + 1/7*k**2 + 0*k**3.
-k**2*(k - 1)*(k + 1)/7
Suppose 33*m + 14 = 2*b + 29*m, m = 4*b - 21. Suppose -1 + 5/2*j**5 + 5/2*j - b*j**3 + 2*j**2 - j**4 = 0. What is j?
-1, 2/5, 1
Determine o so that 0*o + 0 - 3/7*o**3 + 51/7*o**2 = 0.
0, 17
Let g(b) be the third derivative of 0 + 2/9*b**4 + 1/180*b**6 - 7/90*b**5 + 16/9*b**3 + 0*b + b**2. Solve g(n) = 0 for n.
-1, 4
Let k(c) be the second derivative of c**5/20 + 7*c**4/24 - c**3 - 7*c**2/2 - 11*c. Let l(x) be the first derivative of k(x). Let l(g) = 0. Calculate g.
-3, 2/3
Let m(n) be the second derivative of 30*n - 1/24*n**4 - 1/6*n**3 + 1/40*n**5 + 1 + 0*n**2. Suppose m(k) = 0. What is k?
-1, 0, 2
Let n be (-8)/(-6)*12/8. What is w in 6*w - w**2 - 9*w - 4 + 2*w**n = 0?
-1, 4
Find a such that 14/9*a**2 + 16/9 + 20/3*a = 0.
-4, -2/7
Let m(c) be the third derivative of 1/60*c**4 + 0 + 1/840*c**8 - 1/150*c**6 + 0*c**7 + 0*c**3 + 0*c**5 + 0*c + 6*c**2. Solve m(w) = 0.
-1, 0, 1
Let p = 10591/5 + -2117. Suppose -2/5*o**2 - p + 8/5*o = 0. Calculate o.
1, 3
Let z(d) be the first derivative of d**5 - 75*d**4/2 + 140*d**3/3 + 75*d**2 - 145*d + 59. Find t, given that z(t) = 0.
-1, 1, 29
Let t(n) be the first derivative of -3*n**4/32 + 13*n**3/8 - 9*n**2/4 - 647. Factor t(v).
-3*v*(v - 12)*(v - 1)/8
Determine s, given that 64*s**2 - 119*s**2 - 38*s + 56*s**2 = 0.
0, 38
Let j(m) be the first derivative of m**3 + 45*m**2/2 + 132*m - 27. Solve j(s) = 0.
-11, -4
Suppose -u + 18 = -5*f, -5*f = 3*u - 5*u + 21. Suppose 7 = 2*w + u. Let -r - r**3 + r**4 + 2*r + w*r**2 - 3*r**2 + 0*r**3 = 0. Calculate r.
-1, 0, 1
Let l(j) = j**3 + 11*j**2 + j + 13. Let x be l(-11). Find p such that -2 - 7*p**x + 5*p**2 + p + 3*p**2 = 0.
-2, 1
Let g(t) be the third derivative of 11*t**6/1260 + 3*t**5/140 - t**4/42 - 5*t**3/6 - 25*t**2. Let r(w) be the first derivative of g(w). What is p in r(p) = 0?
-1, 2/11
Let l(o) = 15*o - 116. Let v be l(8). Let c(s) be the third derivative of -1/3*s**v + s**2 + s**3 + 0*s + 0 + 1/30*s**5. Factor c(k).
2*(k - 3)*(k - 1)
Let p be 16/((-64)/84) + 14 - (-2 + -7). Factor -8/5*n + 12/5 - 4/5*n**p.
-4*(n - 1)*(n + 3)/5
Let s(y) be the first derivative of -4*y**3/27 - 86*y**2/9 + 40*y - 502. Factor s(l).
-4*(l - 2)*(l + 45)/9
Let i(d) be the first derivative of d**6/33 - 4*d**4/11 - 4*d**3/11 + 7*d**2/11 + 12*d/11 + 55. Solve i(c) = 0 for c.
-2, -1, 1, 3
Let i(k) be the second derivative of -2 + 42/5*k**5 + 6*k - 73/3*k**4 - 32*k**2 + 112/3*k**3 - 6/5*k**6. Factor i(d).
-4*(d - 1)**2*(3*d - 4)**2
Let n be (-5)/6 - (192/18 - 247/19). Factor -f**2 + 0 + n*f**4 + 0*f - 1/2*f**3.
f**2*(f - 1)*(3*f + 2)/2
Let x(a) be the third derivative of a**6/180 - a**5/10 + 3*a**4/4 + a**3 + 18*a**2. Let y(k) be the first derivative of x(k). Factor y(t).
2*(t - 3)**2
Let h be ((-192)/10)/3 + 177 + -170. Suppose 0 - 1/5*a - 3/5*a**3 - h*a**2 - 1/5*a**4 = 0. What is a?
-1, 0
Factor 1228*h**2 + 98*h - 1232*h**2 + 6*h.
-4*h*(h - 26)
Find c, given that -1/2*c**4 + 11/2*c**2 + 4*c**3 + 0 - 9*c = 0.
-2, 0, 1, 9
Let c(l) = 2*l**3 + 2*l**2 + 12*l + 6. Let y be 3*1*15/9. Let i(n) = n**3 + 3*n**2 + 12*n + 5. Let m(f) = y*c(f) - 6*i(f). Factor m(j).
4*j*(j - 3)*(j + 1)
Let k(a) be the first derivative of a**5/360 - a**4/48 + 2*a**2 + 5. Let s(p) be the second derivative of k(p). Find n, given that s(n) = 0.
0, 3
Suppose -3*g = -h - 6, g - h + 2*h = 6. Suppose 25 = -o + 6*o, -14 = -g*k - o. What is a in 0*a + 2/5*a**k + 0 + 0*a**2 = 0?
0
Let a(x) be the first derivative of 3/8*x**4 + 35 - 1/12*x**6 - 1/2*x**2 + 1/10*x**5 + 0*x - 1/6*x**3. Suppose a(n) = 0. Calculate n.
-1, 0, 1, 2
Let m(d) = 110*d**3 + 8695*d**2 + 8360*d - 75. Let l(t) = 3*t**3 + 235*t**2 + 226*t - 2. Let q(c) = -75*l(c) + 2*m(c). Factor q(r).
-5*r*(r + 1)*(r + 46)
Let j(p) = 14*p + 46. Let g be j(-3). Let m = 3179/3717 + 1/531. Determine v, given that -60/7*v**2 + 16/7*v**g - 16/7 + 10/7*v**3 + 8*v - m*v**5 = 0.
-2, 2/3, 1, 2
Suppose 76 = -5*n + 16. Let r be ((-12)/(-9))/(n/(-18)). Factor 2/11*t**r + 2/11*t - 2/11 - 2/11*t**3.
-2*(t - 1)**2*(t + 1)/11
Let l be -9*(-1)/(-2)*8/(-6). Determine u, given that -4*u**2 - 10*u**3 + l*u - 6*u**3 + 14*u**3 = 0.
-3, 0, 1
Let y be (505/220 + -3)*-4. Let j = y + -173/77. Find m, given that -4/7*m**3 + 10/7*m**2 - 2/7*m - j = 0.
-1/2, 1, 2
Let m(u) = -22*u**2 - 220*u. Let v be m(-10). Find a, given that -1/4*a**5 - a**4 + v + 1/2*a**3 - 9/4*a + 3*a**2 = 0.
-3, 0, 1
Let b be (-3)/9*3*-2. Suppose -n**3 - 10*n + 25*n - n**4 - 14*n + n**2 + 0*n**b = 0. Calculate n.
-1, 0, 1
Let h(f) be the second derivative of -f**4/66 - f**3 - 62*f**2/11 + 73*f. Factor h(p).
-2*(p + 2)*(p + 31)/11
Determine a, given that -24*a + 270*a**3 + 0*a**5 - 4*a**4 - 298*a**3 + 52*a**2 + 6*a**5 - 2*a**5 = 0.
-3, 0, 1, 2
Let s(y) = 6*y + 3*y + 6*y**2 - 10 - 2*y**3 + 3*y**3 - 2*y**3. Let n be s(7). Factor -3*i**n + i**4 - 6*i**3 + 8*i**3.
-2*i**3*(i - 1)
Let h be (7 - 4)*(-1 - -8). Suppose -h + 39 = 6*v. Factor 1/2*r - r**2 + 1/2*r**v + 0.
r*(r - 1)**2/2
Suppose 2*n = 3*n - 3. Let f = 5 - n. Find t such that -4*t**2 + 6*t - 2*t**f + 4*t**2 = 0.
0, 3
Factor -18/5*a**3 + 42/5*a**2 - 2/5*a**4 + 0 - 22/5*a.
-2*a*(a - 1)**2*(a + 11)/5
Suppose 5*a = 3*m - 77, -a - 6*m - 18 = -4*m. Let f be (-1)/(a/12 - -1). What is y in 0 + 11/3*y**3 - 2/3*y + f*y**2 = 0?
-1, 0, 2/11
Factor -1/4*i**4 + 2*i + 3/2*i**2 + 0 - 3/4*i**3.
-i*(i - 2)*(i + 1)*(i + 4)/4
Factor -g**2 - 5*g**4 + 0*g + 0 + 21/2*g**3.
-g**2*(g - 2)*(10*g - 1)/2
Let j(l) be the third derivative of l**7/1050 + l**6/200 + l**5/100 + l**4/120 - 23*l**2. Factor j(y).
y*(y + 1)**3/5
Let y be (-29)/(-5) - (-23)/(345/(-75)). Factor 6/5*h**2 + 0*h**3 + 0 - 2/5*h**4 - y*h.
-2*h*(h - 1)**2*(h 