*w/4 - 6. Factor l(h).
(h - 1)*(h + 3)/4
Let b = 8 - 0. Factor b*t**2 - 2*t + 12*t**3 - t + t**4 + 2*t**5 + 7*t**4 + 5*t.
2*t*(t + 1)**4
Let h(l) be the third derivative of -l**10/302400 + l**9/120960 + l**5/30 + 4*l**2. Let a(s) be the third derivative of h(s). Factor a(o).
-o**3*(o - 1)/2
Let a(b) be the third derivative of -b**6/360 - b**5/60 + 8*b**2. Let a(w) = 0. Calculate w.
-3, 0
Factor j**4 - 31 - 7*j**4 + 54*j - 2*j**5 + 52*j**2 + 12*j**3 + 49.
-2*(j - 3)*(j + 1)**3*(j + 3)
Let d(c) = 3*c - 5. Let h be d(2). Let g be 2 - (-3)/(-5 - h). Factor 1 + g*o + 1/2*o**2.
(o + 1)*(o + 2)/2
Determine o, given that -4/3 - 17/3*o - 22/3*o**2 - 3*o**3 = 0.
-1, -4/9
Let t(k) = k**2. Let u be t(-2). Factor r**u + 0 + 2 + 2*r - 2*r**3 - 3.
(r - 1)**3*(r + 1)
Let p = -6 + 8. Let l be (-40)/(-10) + 1*p. What is v in l*v**2 - 3*v**2 + 0*v**4 - 3*v**4 = 0?
-1, 0, 1
Let k(b) = -12*b**3 - 5*b**2 + 19*b + 5. Let o(q) = -4*q**3 - 2*q**2 + 6*q + 2. Let h(s) = 2*k(s) - 7*o(s). Suppose h(u) = 0. What is u?
-1, 1
Let g(o) be the second derivative of 0*o**2 + 0 + 0*o**3 - 1/90*o**6 + o + 1/60*o**5 + 0*o**4. Factor g(j).
-j**3*(j - 1)/3
Let u be 124/24 + -3 + (-4)/24. Factor -27/7 - 18/7*r - 3/7*r**u.
-3*(r + 3)**2/7
Let p(f) be the second derivative of 2*f**7/21 - 2*f**6/15 - 3*f**5/5 + 5*f**4/3 - 4*f**3/3 - 2*f. Find j, given that p(j) = 0.
-2, 0, 1
Let w(i) be the first derivative of -i**6/900 + i**5/150 - i**4/60 + i**3/3 - 3. Let r(p) be the third derivative of w(p). Factor r(s).
-2*(s - 1)**2/5
Suppose -6*p - 5*p**2 + 8*p + 6*p**2 = 0. What is p?
-2, 0
Let k(m) = m**3 - m**2 - m + 1. Let d(j) = 11*j**3 - 14*j**2 - 29*j - 4. Let p(h) = d(h) - 5*k(h). Factor p(s).
3*(s - 3)*(s + 1)*(2*s + 1)
Let o = -213514 + 136008372/637. Let s = 4/49 - o. Factor -s*y + 2/13*y**2 + 0.
2*y*(y - 1)/13
Let s = 1757/5 + -351. Factor 2/5*h + 0 - s*h**2.
-2*h*(h - 1)/5
Suppose 5*w - 4*n - 41 = 0, 0 = 2*w - 0*n + 3*n + 2. Suppose 2*i - 3 = w. Factor 2*f**2 + 0 + 0 + i*f + 2.
2*(f + 1)**2
Let u(i) = 5 - 4*i + 1 - 1 + 0 - 4*i**2. Let a(c) = -5*c**2 - 5*c + 6. Let b(g) = 5*a(g) - 6*u(g). Factor b(n).
-n*(n + 1)
Let h(n) be the third derivative of n**6/780 + n**5/390 - n**4/78 - n**2. Solve h(j) = 0 for j.
-2, 0, 1
Find v, given that -11/2*v**2 + 2 + 6*v + 25/2*v**4 - 15*v**3 = 0.
-2/5, 1
Suppose -l + 2 = -0*l, -h + l = 2. Factor 2/5 + 4/5*b**3 + h*b**2 - 2/5*b**4 - 4/5*b.
-2*(b - 1)**3*(b + 1)/5
Let g(x) be the third derivative of -x**9/33600 - x**8/33600 - x**5/12 - 7*x**2. Let o(h) be the third derivative of g(h). Factor o(f).
-3*f**2*(3*f + 1)/5
Let q be (4*(-4)/1)/1. Let f = -44/3 - q. Solve -1/3*y - 5/3*y**2 - f*y**3 + 0 = 0 for y.
-1, -1/4, 0
Factor 0 + 3/4*w**2 - 3/2*w**3 + 3/4*w**4 + 0*w.
3*w**2*(w - 1)**2/4
Factor -2/7*y**4 + 4/7*y**3 + 0 + 0*y - 2/7*y**2.
-2*y**2*(y - 1)**2/7
Let x(m) be the first derivative of -2*m**3/9 - 8*m**2/3 - 32*m/3 - 5. Factor x(r).
-2*(r + 4)**2/3
Factor 5*o**4 - o - 4*o + 4*o**3 - 5*o**2 - 2*o**3 + 3*o**3.
5*o*(o - 1)*(o + 1)**2
Factor 0*w + 0 + 2/9*w**2.
2*w**2/9
Suppose 3*s - 2 = -5. Let v be (4 + 2)*s/(-21). Find r such that -4/7*r - v*r**2 + 0 = 0.
-2, 0
Let l be 2 + (-4)/(2/(-1)). Suppose -2 = -g - 0*g. Factor 0*a**l - a**4 - 3*a**5 + g*a**5.
-a**4*(a + 1)
Let v(d) = d + 1. Let r be v(3). Suppose -2*o + 10 = 3*o. Factor -2*u + 4*u**o + u**4 + 2*u - 2 - 3*u**r.
-2*(u - 1)**2*(u + 1)**2
Let w(j) = 6*j - 8. Let y(g) be the second derivative of -g**4/12 + 7*g**3/6 - 9*g**2/2 - 8*g. Let d(b) = -6*w(b) + 4*y(b). Let d(q) = 0. Calculate q.
-3, 1
Find h such that 1/3*h**5 - 4/3 + 19/3*h**3 - 25/3*h**2 + 16/3*h - 7/3*h**4 = 0.
1, 2
Suppose -3*o - 5*k + 175 = 0, -5*o = 2*k - 3*k - 245. Factor -19*d**4 - o*d**2 + 2*d**5 + 38*d**3 + 4 - 12 + 32*d + 5*d**4.
2*(d - 2)**2*(d - 1)**3
Let k(q) be the third derivative of -q**10/302400 + q**9/60480 - q**8/40320 - q**5/60 - 2*q**2. Let n(b) be the third derivative of k(b). Factor n(m).
-m**2*(m - 1)**2/2
Let o(a) be the first derivative of -3*a**5/5 + 2*a**3 - 3*a + 7. Factor o(f).
-3*(f - 1)**2*(f + 1)**2
Let t(z) be the third derivative of z**7/42 - 17*z**6/24 + 15*z**5/2 - 45*z**4/2 - 180*z**3 + 20*z**2. Solve t(i) = 0.
-1, 6
Let h(a) be the second derivative of 3*a**5/40 - a**4/4 - 3*a**3/4 - 16*a. Determine x, given that h(x) = 0.
-1, 0, 3
Let m be (0/3)/3*1. Let -2*u**3 + 3*u**3 + m*u**2 + 3*u**2 - 6*u**2 + 2*u = 0. What is u?
0, 1, 2
Let 11/3*z**2 + 1/3 - 5/3*z**3 - 7/3*z = 0. What is z?
1/5, 1
Determine o so that -o + 7/3*o**3 + 1/3 + 0*o**4 - 1/3*o**2 - 4/3*o**5 = 0.
-1, 1/2, 1
Let z be (3 + (-20)/6)/(-14). Let v(g) be the third derivative of 0*g**5 + 0 - 1/735*g**7 - z*g**4 + 1/210*g**6 + 0*g - 2*g**2 + 1/21*g**3. Solve v(b) = 0.
-1, 1
Let s = -13 - -40/3. Find j such that 1/3*j**4 - s - 2/3*j + 2/3*j**3 + 0*j**2 = 0.
-1, 1
Let v(x) = -62*x + 124. Let c be v(2). Find h, given that 1/4*h - 1/4*h**2 + c = 0.
0, 1
What is l in -2/9 - 2/9*l + 2/9*l**3 + 2/9*l**2 = 0?
-1, 1
Suppose 5*q - 3*x + 5*x = 33, 5*q - 37 = -3*x. Find m such that q*m + 3*m**3 - m - 7*m = 0.
-1, 0, 1
Suppose 79*q + 12 = 82*q. Determine a so that -a + 0 + 1/2*a**2 - 3/2*a**q + 2*a**3 = 0.
-2/3, 0, 1
Let o be (-3)/(-8)*28/(-105)*-5. Suppose -b - 1/2 - o*b**2 = 0. What is b?
-1
Factor 0 + 0*w**3 + 0*w - 2/9*w**2 + 2/9*w**4.
2*w**2*(w - 1)*(w + 1)/9
Let g(u) = -3*u**3 + 23*u**2 - 3*u - 17. Let a(y) = -1 + 2*y**3 + 8*y**2 - 3*y**3 - y + 0*y**3 - 5. Let l(i) = 17*a(i) - 6*g(i). Solve l(s) = 0 for s.
0, 1
Let w(y) be the third derivative of 0*y + 1/150*y**5 - 1/15*y**4 - 4*y**2 + 0 + 4/15*y**3. Factor w(n).
2*(n - 2)**2/5
Let n(i) = -14*i**2 - 6*i + 8. Let f be 13/5 + (-22)/(-55). Let t(q) = 5*q**2 + 2*q - 3. Let s(h) = f*n(h) + 8*t(h). Factor s(c).
-2*c*(c + 1)
Let t(c) be the second derivative of -c**6/10 + 21*c**5/20 - 2*c**4 - 8*c**3 + 19*c. Solve t(z) = 0.
-1, 0, 4
Let y(f) be the second derivative of f**7/168 - 7*f**6/120 + 9*f**5/40 - 5*f**4/12 + f**3/3 + 14*f. Let y(i) = 0. Calculate i.
0, 1, 2
Let y = 49/2 - 24. Let 0*l + y + 0*l**3 - l**2 + 1/2*l**4 = 0. Calculate l.
-1, 1
Suppose g - 1 = 3. Factor 0 + 2/5*t**g + 24/5*t**2 - 16/5*t - 12/5*t**3.
2*t*(t - 2)**3/5
Let x = -733 + 738. Determine s, given that 1/3*s**3 + 0*s + 1/3*s**x + 0 + 2/3*s**4 + 0*s**2 = 0.
-1, 0
Factor 4*g**2 + 11*g**2 - 4 - 5*g**2 - 6*g**2.
4*(g - 1)*(g + 1)
Let f(u) = u**4 - 3*u**3 + 3*u**2 - 5*u - 4. Let q(b) = 2*b**4 - 6*b**3 + 6*b**2 - 11*b - 9. Let k(i) = 9*f(i) - 4*q(i). What is t in k(t) = 0?
0, 1
Let u(j) be the second derivative of -2*j**6/15 - j**5/4 + j**4/4 + 5*j**3/6 + j**2/2 + 8*j. Factor u(h).
-(h - 1)*(h + 1)**2*(4*h + 1)
Let g(v) be the first derivative of v**6/120 + v**5/20 + v**4/12 - 3*v**2/2 + 2. Let n(k) be the second derivative of g(k). Find m such that n(m) = 0.
-2, -1, 0
Let q(i) be the first derivative of 121*i**6/15 + 396*i**5/25 + 37*i**4/10 - 24*i**3/5 + 4*i**2/5 - 6. What is p in q(p) = 0?
-1, 0, 2/11
Let f = 258/287 + 10/41. Suppose -f*r**3 + 0 + 10/7*r**2 - 4/7*r + 2/7*r**4 = 0. Calculate r.
0, 1, 2
Let z(f) = 5*f**2 + 9*f. Suppose -5*v = -1 - 19. Let u(x) = -3*x**2 - 5*x. Let c(y) = v*z(y) + 7*u(y). Factor c(g).
-g*(g - 1)
Let z = 271/748 + 1/748. Find m, given that 2/11*m - z + 2/11*m**2 = 0.
-2, 1
Let b be -2 - ((-14)/3)/2. Factor b*d**2 + 0 + 1/3*d**3 + 0*d.
d**2*(d + 1)/3
Let r(o) be the first derivative of -3/4*o**4 + 15/2*o**2 + 5 + 3*o**3 - 3/5*o**5 + 6*o. Determine c, given that r(c) = 0.
-1, 2
Let b(d) be the first derivative of 2*d**3/9 - 2*d**2/3 + 2*d/3 + 4. Factor b(i).
2*(i - 1)**2/3
Determine r, given that 0*r + 1/7*r**3 - 4/7 + 3/7*r**2 = 0.
-2, 1
Factor 35*v + 44*v**2 - 28*v**2 - 5 - 20*v**2 - 14*v.
-(v - 5)*(4*v - 1)
Let t(o) = o**2 + o - 5. Suppose -4*y = -5*y - 3. Let p be t(y). Determine j, given that -p + 1/2*j + 1/2*j**2 = 0.
-2, 1
Let l(a) be the first derivative of a**7/147 - a**6/105 - a**5/70 + a**4/42 - a - 2. Let k(c) be the first derivative of l(c). Let k(y) = 0. What is y?
-1, 0, 1
Suppose 4 = 4*g - 8. Factor -3*j - g*j**3 - 8*j**2 - 1 + 2*j**2 + 1.
-3*j*(j + 1)**2
Let f be 3*2 + (-44)/33*3. Factor 0*g - 2/3*g**f + 2/3*g**3 + 0.
2*g**2*(g - 1)/3
Suppose -130/3*w - 94/3*w**3 + 28/3 + 10/3*w**4 + 62*w**2 = 0. Calculate w.
2/5, 1, 7
Factor 12/7*q + 0 + 10/7*q**2 + 2/7*q**3.
2*q*(q + 2)*(q + 3)/7
L