 + 1/24*o**3 - o. Factor m(x).
x*(x - 1)**2*(x + 1)/4
Let l = -4 + 8. Solve -l - 9*d - 6 + 3 - 3*d**2 + 1 = 0.
-2, -1
Factor 181 + 1245*j**2 + 563*j + 25*j**4 + 319 + 355*j**3 - 45*j**3 + 1137*j.
5*(j + 2)*(j + 5)**2*(5*j + 2)
Let j be (6*(-3)/12)/(-90). Let p(u) be the third derivative of 1/30*u**5 + 0*u - 1/3*u**3 - 2*u**2 + j*u**6 - 1/12*u**4 + 0. Factor p(m).
2*(m - 1)*(m + 1)**2
Determine k so that 2 + 3*k**2 + 18*k + 5 - 9*k - 1 = 0.
-2, -1
Factor 2/7 + 2/7*u**2 + 4/7*u.
2*(u + 1)**2/7
Let d(a) = -a**2 - 2*a - 1. Let x(i) = -i**2 - i. Let h(j) = -3*d(j) + 6*x(j). Factor h(l).
-3*(l - 1)*(l + 1)
Let b = 902/5 - 180. Factor -24/5*u - b*u**4 - 8/5 - 26/5*u**2 - 12/5*u**3.
-2*(u + 1)**2*(u + 2)**2/5
Suppose 2*q + 2*f - 6 = 4, q + 4*f - 20 = 0. Factor q*c - 2/7*c**2 + 2/7.
-2*(c - 1)*(c + 1)/7
Find z, given that 8/21*z**3 - 2/21*z**4 + 4/21*z - 10/21*z**2 + 0 = 0.
0, 1, 2
Let w(p) = p. Let f be w(2). Let x = f - 0. Solve -2*g**4 + 0*g**4 + g + g - 6*g**x + 6*g**3 = 0.
0, 1
Let m = 197/260 + -1/130. Factor -3/4*u**2 + 0 + m*u.
-3*u*(u - 1)/4
Let h(q) be the first derivative of 2*q**6/75 + q**5/25 + 5*q - 1. Let a(m) be the first derivative of h(m). Factor a(b).
4*b**3*(b + 1)/5
Let j(q) = -q**2 + q - 1. Let y(o) = o**2 - 2*o + 3. Let s be (2 - 1)*1*-1. Let g(c) = s*y(c) - 2*j(c). Determine x so that g(x) = 0.
-1, 1
What is j in 375/7 - 150/7*j - 180/7*j**2 - 3/7*j**4 - 6*j**3 = 0?
-5, 1
Let z = 979/5392 + 2/337. Let b(i) be the first derivative of 0*i - 3/20*i**5 - 1 + 0*i**2 - z*i**4 - 1/24*i**6 - 1/12*i**3. Find w, given that b(w) = 0.
-1, 0
Let l(y) be the third derivative of 0*y + 7/180*y**6 + 1/45*y**5 + 0*y**3 + 0 + 0*y**4 - 5*y**2. Factor l(r).
2*r**2*(7*r + 2)/3
Let z be ((-21)/14)/((-35)/(-2)). Let g = z + 17/35. Factor -4/5*l + g*l**2 + 2/5.
2*(l - 1)**2/5
Let q(k) be the second derivative of -k - k**2 - 1/6*k**3 + 1/24*k**4 + 0 - 1/240*k**5. Let z(c) be the first derivative of q(c). Factor z(f).
-(f - 2)**2/4
Let p(f) = f**4 - 10*f**3 + 11*f**2 - 2*f + 6. Let u(v) = -3*v**4 + 21*v**3 - 22*v**2 + 4*v - 11. Let z(m) = 11*p(m) + 6*u(m). Suppose z(x) = 0. What is x?
0, 2/7, 1
Let -6/5*d**3 + 48/5 + 4*d**2 + 88/5*d = 0. What is d?
-2, -2/3, 6
Let n(o) be the third derivative of 0*o**5 + 1/20*o**4 - 4*o**2 + 0 - 2/15*o**3 - 1/300*o**6 + 0*o. Solve n(r) = 0 for r.
-2, 1
What is u in -2/5*u + 6/5*u**5 + 0 + 8/5*u**4 - 4/5*u**3 - 8/5*u**2 = 0?
-1, -1/3, 0, 1
Factor 12*h - 3 - 15 + 3*h**2 - 5*h**2.
-2*(h - 3)**2
Let b(y) be the third derivative of y**6/60 + y**5/10 + y**4/4 + y**3/3 + 11*y**2. Factor b(g).
2*(g + 1)**3
Let r be (40/25)/((-6)/(-5)). Let 0*u**3 + r*u + 2/3*u**4 - 2*u**2 + 0 = 0. What is u?
-2, 0, 1
Let f be 10 - (11 - (-93)/(-21)). Find g such that 2*g**3 + 6/7*g - 4/7 + f*g**2 = 0.
-1, 2/7
Let d be (2/(-4) - 2)/((-14)/8). Factor 4/7 - 2*c**2 - d*c.
-2*(c + 1)*(7*c - 2)/7
Factor 4*k**2 + 2*k**5 + 4*k**2 - 12*k**2 - 6*k**3.
2*k**2*(k - 2)*(k + 1)**2
Solve 0*g - 3/5*g**3 + 0*g**2 + 6/5*g**4 + 0 - 3/5*g**5 = 0 for g.
0, 1
Suppose 5*f - 1 - 9 = 0. Suppose u = 2*u - 4. Factor -5*n**2 + n - f*n + u*n**2.
-n*(n + 1)
Factor 2*b**5 + 0*b**5 - 2*b**2 + 24 + 6*b**3 - 6*b**4 - 24.
2*b**2*(b - 1)**3
Let t = -4 - -6. Let q = -125/2 - -63. Factor -q*g + 0 + 1/2*g**t.
g*(g - 1)/2
Let l = 5 + -1. Let a(c) be the first derivative of -l*c**4 - c**5 + 3 - 2*c**4 - 2*c**2 + 0*c**2 - c**5 - 6*c**3. Factor a(p).
-2*p*(p + 1)**2*(5*p + 2)
Let j be (-4)/2 - (4 + -2)*-2. Let h(k) be the first derivative of 0*k**2 + j + 1/3*k**3 - k. Suppose h(y) = 0. What is y?
-1, 1
Let r be 9 + -1 + 11 + -14. Let z(k) be the third derivative of 2*k**2 + 0*k**4 - 1/12*k**6 - 1/15*k**r + 0*k + 0*k**3 + 0. Factor z(f).
-2*f**2*(5*f + 2)
Let w(t) be the third derivative of 0*t + 0 + 0*t**3 + 1/96*t**4 - 2*t**2 - 1/240*t**5. Determine m, given that w(m) = 0.
0, 1
Let x be (-1)/((-3)/3) + 5. Let m be (-2)/x*(-1 - 1). Factor -2/3*q**5 + 4/3*q**3 + 2/3 + m*q**4 - 2/3*q - 4/3*q**2.
-2*(q - 1)**3*(q + 1)**2/3
Let v be (10/(-15))/(1/(-42)). Let k be (-4)/14 - (-22)/v. Factor 0*l - 1/4*l**4 - k*l**3 - 1/4*l**2 + 0.
-l**2*(l + 1)**2/4
Let i(t) = 2*t**3 + 3*t**2 - 3. Let n(j) = j**3 + 2*j**2 - 2. Let p be -3 + (-1 + 2 - -5). Let y(c) = p*n(c) - 2*i(c). Let y(u) = 0. What is u?
0
Let o be 107 - (-1 - (-1 + 3)). Let b be (-46)/o + (-3)/(-5). Factor 0 - b*t - 2/11*t**2.
-2*t*(t + 1)/11
Suppose 4*z + 0*z - 16 = 0. Let w be (-40)/(-22) - (-2)/11. Solve z + 3 - 5 - 3*m + m**w = 0.
1, 2
Let u(w) be the first derivative of 0*w + 2/21*w**3 + 1/7*w**2 + 2. Solve u(g) = 0 for g.
-1, 0
Let i(m) be the first derivative of 2*m**3/45 + 4*m**2/15 - 69. Determine a, given that i(a) = 0.
-4, 0
Let c(p) be the second derivative of 0 + 3*p + 1/8*p**4 - p**3 + 3*p**2. Determine l so that c(l) = 0.
2
Let n = 1 - 1. Let t be (-4)/2 + 2 - n. Find l, given that -4 + l**4 + 3 + t*l - 2*l**3 + 2*l = 0.
-1, 1
Let j be 0/3 - 2/(-4). What is g in 0*g - j*g**3 + 0*g**2 + 0 = 0?
0
Factor 18*r**4 + 2*r**5 - 12*r**4 - 4*r**3 - 4*r**4.
2*r**3*(r - 1)*(r + 2)
Let m(c) = c**3 - 8*c**2 + 7*c + 1. Let t be m(7). Suppose -j = -3 + t. Find i such that -j*i**3 - 2*i - 4*i**2 - 2*i**3 + 0*i**2 + 2*i**3 = 0.
-1, 0
Let c(t) be the second derivative of t**4/24 - t**3/4 + 4*t. Let c(o) = 0. Calculate o.
0, 3
Let l(i) be the third derivative of i**5/30 - i**4/4 - 4*i**3/3 - 4*i**2. Let l(g) = 0. What is g?
-1, 4
Suppose d - 5 = -2. Let h = 562/3 + -187. Factor 0 - 1/3*k**d + 2/3*k**2 - h*k.
-k*(k - 1)**2/3
Let q be (-16)/(-4) - 411 - 4. Let w = -2047/5 - q. Let 0 - 2/5*r**5 - 2/5*r - w*r**4 - 12/5*r**3 - 8/5*r**2 = 0. Calculate r.
-1, 0
Let b(j) = -4*j**3 + 7*j**2 + 4*j + 3. Let p(w) = 0 + 103*w + 1 - 102*w - w**3 + w**2. Let y(s) = -3*b(s) + 15*p(s). Suppose y(g) = 0. What is g?
-2, -1, 1
Let r = -778 - -5486/7. Determine s so that 8/7 + 50/7*s**2 - r*s = 0.
2/5
Let v(t) = t**3 - 2*t**2 + t - 9. Let y be v(3). Factor 0*b**2 - 1/6*b**y + 0*b + 0.
-b**3/6
Suppose 5*q = 2*q. Let 2*v**2 - 3*v + q*v**2 + 5*v = 0. Calculate v.
-1, 0
Let i be (-2)/(-7) - 48/21. Let u = i - -5. Determine v, given that -2 + v**3 - u*v - 3 + 3 = 0.
-1, 2
Factor 3*t + 2*t**2 - 3*t - 7*t**2 + 5.
-5*(t - 1)*(t + 1)
Solve -i - 6 + 2*i + 2*i**2 - 5*i + 0 = 0 for i.
-1, 3
Factor -2*k**4 + 6*k + 48*k**3 + 15*k**2 - 36*k**3 + 5*k**4.
3*k*(k + 1)**2*(k + 2)
Let w(u) be the first derivative of 5*u**6/36 - 4*u**5/15 + u**4/24 + u**3/9 + 3. Let w(d) = 0. Calculate d.
-2/5, 0, 1
Let s(a) be the second derivative of 1/10*a**5 + 7/3*a**3 - 5/6*a**4 - 3*a**2 + 0 + 5*a. Let s(j) = 0. What is j?
1, 3
Let z(t) be the first derivative of -7*t**6/24 - t**5/4 + t**4 - t**3/3 + 13. Let z(v) = 0. What is v?
-2, 0, 2/7, 1
Let b(k) = -k**2 + 8*k - 1. Let x(r) = -3*r**2 + 23*r - 3. Let l(t) = 17*b(t) - 6*x(t). Factor l(z).
(z - 1)**2
Let r(k) = -6*k**3 + 18*k**2 - 48*k + 24. Let n(f) = 17*f**2 + 0*f**2 + 23 - 7*f**3 - 49*f + 0*f**3. Let g(u) = 3*n(u) - 4*r(u). Factor g(o).
3*(o - 3)**2*(o - 1)
Let p(g) be the second derivative of -g**7/630 + g**6/180 - g**5/180 + 3*g**2/2 - 2*g. Let w(d) be the first derivative of p(d). Let w(o) = 0. What is o?
0, 1
Let l(m) be the third derivative of 1/20*m**5 + 0 + 0*m**3 + 8*m**2 + 1/4*m**4 + 0*m. Suppose l(w) = 0. Calculate w.
-2, 0
Factor 3*x**3 - 4*x**3 + 5*x**3 - 4*x - 8*x**3 + 8*x**2.
-4*x*(x - 1)**2
Let l(h) be the first derivative of 0*h**2 - 1/15*h**5 + 1/6*h**4 - 2 - 1/9*h**3 + 2*h. Let i(m) be the first derivative of l(m). Let i(s) = 0. What is s?
0, 1/2, 1
Let u be (-5)/3*1/(-5). Let w(p) = 34*p + 204. Let l be w(-6). Factor -1/3*y + u*y**2 + l.
y*(y - 1)/3
Let g(b) be the third derivative of -b**7/105 - b**6/15 - b**5/6 - b**4/6 - 7*b**2. Suppose g(u) = 0. What is u?
-2, -1, 0
Let w(q) = 2*q + 2. Let c be w(6). Factor 2*t**3 - 14 + c.
2*t**3
Let s(v) be the first derivative of -2*v**5/25 + 2*v**4/5 - 8*v**3/15 + 32. Solve s(y) = 0.
0, 2
Let b = 45 - 30. Let n be (-2)/10 + 33/b. Factor -8*a**3 + 13*a**2 - 2*a**5 + 6*a**4 + 2*a**3 - 11*a**n.
-2*a**2*(a - 1)**3
Factor -15*k**5 - 23*k**5 - 2*k**3 + 4*k**2 + 40*k**5 - 4*k**4.
2*k**2*(k - 2)*(k - 1)*(k + 1)
Let z be ((-18)/(-16))/(30/20). Factor -3/4*t**2 - z*t - 1/4*t**3 - 1/4.
-(t + 1)**3/4
Let h be (50 - 42)*-1*(-2)/8. Factor 2/9*v**3 + 0*v + 2/3*v**h - 8/9.
2*(v - 1)*(v + 2)**2/9