05 - b**6/10 + 14*b**2. Factor g(x).
4*x**3*(x - 1)*(2*x + 3)
Find k, given that -k - 2*k**3 + 3 + k**2 - 4*k**2 + 3*k**3 = 0.
-1, 1, 3
Suppose 0 = 4*i - 3*j + 8*j - 104, 4*i + 3*j - 104 = 0. Let z be i/(-56) + (-15)/(-20). Suppose -4/7*g - z - 2/7*g**2 = 0. What is g?
-1
Let d(w) be the third derivative of -2*w**7/105 + w**6/30 - 13*w**2. Factor d(v).
-4*v**3*(v - 1)
Suppose f = -1 - 5. Let w(q) = q + 1. Suppose 3 - 6 = -3*c. Let s(h) = h**2 + 7*h + 6. Let p(d) = c*s(d) + f*w(d). What is v in p(v) = 0?
-1, 0
Factor 1/2*l - 1/2*l**3 - 1 + l**2.
-(l - 2)*(l - 1)*(l + 1)/2
Let u(w) be the second derivative of -w**8/336 - w**7/150 - w**6/300 + 2*w**2 - 6*w. Let q(s) be the first derivative of u(s). Suppose q(z) = 0. Calculate z.
-1, -2/5, 0
Let x(o) be the first derivative of -o**5/360 + o**4/24 - o**3/4 - 9*o**2/2 - 7. Let v(f) be the second derivative of x(f). Let v(k) = 0. What is k?
3
Let k(f) be the first derivative of f**7/210 - f**5/30 + f**3/6 + 2*f**2 + 4. Let o(l) be the second derivative of k(l). Factor o(v).
(v - 1)**2*(v + 1)**2
Let x be (-1914)/(-3080) - (-4)/(-7). Let y(a) be the second derivative of -x*a**5 - 1/4*a**4 + 0 + a - 1/2*a**2 - 1/2*a**3. Let y(d) = 0. Calculate d.
-1
Let w(o) be the first derivative of -3*o**4/22 - 8*o**3/33 - o**2/11 - 34. Factor w(y).
-2*y*(y + 1)*(3*y + 1)/11
Suppose -5*d + 23 - 3 = 0. Suppose 4*w - 6*w = -d. Let -1/2*h**w + 1/4*h + 0 + 1/4*h**3 = 0. What is h?
0, 1
Let o(q) = -q**3 + 4*q**2 - 2*q - 1. Let f be o(3). Factor f*a**2 - 4*a + 6*a - a**2.
a*(a + 2)
Suppose -3*q = 6 - 0. Let p = q - -9. Factor -21*k**2 - 14 - 67 + p*k**2 + 81*k + 3*k**3 - 13*k**2.
3*(k - 3)**3
Let g be (-1*2)/(-14 + 12). Let m(z) be the first derivative of -2/9*z**3 + 0*z**2 + g - 1/6*z**4 + 0*z. Factor m(w).
-2*w**2*(w + 1)/3
Find m, given that -3 + 72*m + 13*m - 35*m**3 + 33 - 80*m**2 = 0.
-3, -2/7, 1
What is g in g**2 + 8/5*g + 3/5 = 0?
-1, -3/5
Let s be 10*3/(-12)*-2. Suppose -10/9*g**3 - 4/9*g**2 + 0*g + 0 - 2/9*g**s - 8/9*g**4 = 0. Calculate g.
-2, -1, 0
Let a be (3 - 3) + 0 + 2. Let s(r) be the third derivative of 2/9*r**3 + 0 - 1/60*r**6 + 0*r + 1/36*r**4 - 2/45*r**5 + 3*r**a. Factor s(g).
-2*(g + 1)**2*(3*g - 2)/3
Suppose -h + 2 = 5*t, 2*t + 6 = 3*h - t. Suppose -o = h*o. Factor 2/3*m - 2/3*m**2 + o.
-2*m*(m - 1)/3
Suppose s + 10 = 13. Let a(d) be the first derivative of 2/3*d**s + 0*d**2 + 0*d + 2/5*d**5 + 2 - d**4. Factor a(u).
2*u**2*(u - 1)**2
Let n(p) be the second derivative of 1/30*p**6 - 1/10*p**5 + 0*p**2 - 6*p + 0 - 1/12*p**4 + 1/3*p**3. Factor n(f).
f*(f - 2)*(f - 1)*(f + 1)
Let a = -243 + 731/3. Factor -1/3*g + a*g**4 + 0*g**3 + 1/3*g**5 + 0 - 2/3*g**2.
g*(g - 1)*(g + 1)**3/3
Let w be 0/3*-1 - 1. Let t(i) = -i**4 + i**3. Let b(f) = 9*f**4 - 9*f**3. Let q(c) = w*b(c) - 12*t(c). Determine g so that q(g) = 0.
0, 1
Let v be (1/(-15))/(8/(-48)). Let i = -3/20 + v. Solve 0 + 1/4*d + 1/4*d**4 - 1/4*d**3 - i*d**2 = 0.
-1, 0, 1
Let i(g) be the third derivative of 0 + 0*g - 1/30*g**5 - 3*g**2 + 0*g**3 - 1/12*g**4 + 1/80*g**6 + 1/210*g**7 - 1/672*g**8. Factor i(y).
-y*(y - 2)**2*(y + 1)**2/2
Suppose 0*u + 3*u + 2*t = 0, -t = 5*u. Suppose -4*c + 4*j + 18 - 2 = u, -2*c + 5*j + 11 = 0. Factor -1/2*f**4 + 0*f + 1/2*f**2 + 0 + 0*f**c.
-f**2*(f - 1)*(f + 1)/2
Let m(y) be the third derivative of -y**6/1380 + 2*y**5/115 - 3*y**4/23 + 15*y**2. Factor m(w).
-2*w*(w - 6)**2/23
Factor -14*u - 15*u - 3*u**2 + 26*u.
-3*u*(u + 1)
Let q(p) = p**3 - p. Let x(i) be the first derivative of i**4/2 - i**2 + 1. Let k(j) = 3*q(j) - 2*x(j). Let k(r) = 0. What is r?
-1, 0, 1
Let h(m) = m**2 + 5*m - 3. Let j be h(-7). Suppose -2 = 3*u - j. Factor -3 - 2*y - 14*y**u + 3 + 16*y**3.
2*y*(y - 1)*(y + 1)
Let l(a) be the second derivative of -a**6/150 + 2*a**5/25 - 4*a**4/15 + a - 1. Factor l(t).
-t**2*(t - 4)**2/5
Let g = -4 - -6. Let d(o) be the first derivative of -2/15*o**3 + 0*o**g + 0*o - 1/5*o**4 - 2/25*o**5 + 1. Factor d(y).
-2*y**2*(y + 1)**2/5
Let y(n) be the second derivative of n**6/15 - n**5/5 - 2*n**4/3 + 2*n**3/3 + 3*n**2 - 4*n. Find l such that y(l) = 0.
-1, 1, 3
Let k = -7097/5 + 1426. Factor -k*h - 9/5*h**2 - 18/5.
-3*(h + 3)*(3*h + 2)/5
Let i be 240/110 - 2 - (-62)/22. Factor 0 - 2/7*v**2 + 2/7*v**i - 2/7*v + 2/7*v**4.
2*v*(v - 1)*(v + 1)**2/7
Let v = 0 + -5. Let d(t) = -t**2 - 4*t + 6. Let a be d(v). Factor -a - 1 + h**3 - 5*h**3 + 6*h - 4*h**3.
-2*(h + 1)*(2*h - 1)**2
Let d = 33/40 + -1/40. Let z(y) = -y**2 - 5*y - 3. Let k be z(-3). Suppose 0*j + d*j**2 + 0 + 2/5*j**k = 0. What is j?
-2, 0
Let f(q) = -2*q**3 + q**2 - 1. Let m be 9/(-7) + (-10)/(-35). Let o be f(m). Factor 2*h**3 - 3*h**2 - h + 3*h**o - h.
2*h*(h - 1)*(h + 1)
Factor 8/11 + 2/11*y**2 + 8/11*y.
2*(y + 2)**2/11
Factor -45/7*w**2 - 375/7 + 225/7*w + 3/7*w**3.
3*(w - 5)**3/7
Let l(s) be the second derivative of 0 + 1/16*s**4 + s - 1/12*s**3 - 1/80*s**5 + 0*s**2. Determine p so that l(p) = 0.
0, 1, 2
Factor 1/6*v**3 + 0*v + 0 - 1/6*v**2.
v**2*(v - 1)/6
Let -q - 4/3 + 1/3*q**2 = 0. What is q?
-1, 4
Let s(o) = -5*o**3 + o**2 - 3*o - 7. Let c(i) = -3*i**3 + i**2 - i - 3. Let d(q) = -7*c(q) + 3*s(q). Let d(k) = 0. What is k?
-1/3, 0, 1
Let f(z) = z + 10. Let l be f(-6). Factor -6*u - l*u + 8 + 4*u**3 - 2*u.
4*(u - 1)**2*(u + 2)
Let j(r) be the first derivative of 5*r**6/6 + 7*r**5/5 - 2*r**4 - 4*r**3/3 + 22. Factor j(n).
n**2*(n - 1)*(n + 2)*(5*n + 2)
Let o(c) be the third derivative of -c**8/1680 + c**7/175 - 13*c**6/600 + c**5/25 - c**4/30 - 23*c**2. Solve o(v) = 0 for v.
0, 1, 2
Let m(r) = -r**2. Let k(c) = c**4 + 10*c**3 + 28*c**2 + 22*c + 7. Let g(q) = k(q) + 4*m(q). Factor g(l).
(l + 1)**3*(l + 7)
Let g = 4 + -2. Suppose 3*r - g = 1. Factor -r - p**4 + 0 + 2*p**2 - 2*p**3 + p + p**5 + 0.
(p - 1)**3*(p + 1)**2
Let n(x) be the first derivative of 2*x**6/3 + 4*x**5/5 - 3*x**4 - 4*x**3/3 + 4*x**2 - 6. Factor n(f).
4*f*(f - 1)**2*(f + 1)*(f + 2)
Solve -4/3*i + 16/3*i**2 + 8/3*i**5 - 14/3*i**4 - 4/3*i**3 - 2/3 = 0 for i.
-1, -1/4, 1
Let r(y) be the third derivative of -y**5/150 - y**4/20 - 2*y**3/15 + 7*y**2. Factor r(d).
-2*(d + 1)*(d + 2)/5
Let o(r) be the first derivative of r**4/10 - 2*r**3/15 - 2*r**2/5 - 4. Solve o(x) = 0 for x.
-1, 0, 2
Factor 0*s**2 + 0 + 0*s + 2/13*s**4 + 6/13*s**5 + 0*s**3.
2*s**4*(3*s + 1)/13
Let m(l) be the second derivative of -1/810*l**6 + 1/108*l**5 - 1/54*l**4 + 1/3*l**3 + 0 + 0*l**2 + l. Let x(u) be the second derivative of m(u). Factor x(n).
-2*(n - 2)*(2*n - 1)/9
Let p(w) = w + 11. Let n be p(-9). Factor 0 + l + 9/2*l**n.
l*(9*l + 2)/2
Let m(o) = -7*o**2 - 32*o + 53. Let i(h) = 4*h**2 + 16*h - 26. Let z(u) = 11*i(u) + 6*m(u). Determine s, given that z(s) = 0.
4
Suppose 0 = 3*h - 4 - 2. Suppose 4*f = h*s - s - 24, -5*s + 4*f = -40. Factor 2*n + 9*n**3 + s - 24*n**2 + 4*n + 5*n**3.
2*(n - 1)**2*(7*n + 2)
Let a = 1153/12 + -96. Let i(q) be the first derivative of -1/8*q**2 + 0*q - a*q**3 + 4. Factor i(t).
-t*(t + 1)/4
Suppose 0 = 5*a + 3*q - 33, 5*a + 2 - 29 = 3*q. Suppose 0 = -a*i + 9 + 9. Determine l so that 0*l**2 + 1/3 + 2/3*l - 2/3*l**i - 1/3*l**4 = 0.
-1, 1
Suppose -5*c = -3*a - 27, 4*c - 38 = 4*a - 10. Determine q so that -3 + 0*q**5 - 6*q**3 + 6*q**2 + 6*q**5 - q**5 - 2*q**5 - c*q**4 + 3*q = 0.
-1, 1
Let r = 278 + -1388/5. Find h such that -6/5 - 4/5*h + r*h**2 = 0.
-1, 3
Let x be (-1020)/(-42) + (-2)/7. Factor -16 + 24 + 16 + x + 24*j + 3*j**2.
3*(j + 4)**2
Suppose 3/2*z**2 + 1/2*z**3 + 3/2*z + 1/2 = 0. What is z?
-1
Let k(h) be the third derivative of -2*h**7/735 - 2*h**6/105 - h**5/35 - 45*h**2. Solve k(p) = 0 for p.
-3, -1, 0
Let h(y) be the third derivative of -3/8*y**4 + 3*y**2 + 1/2*y**3 + 0*y + 3/20*y**5 - 1/40*y**6 + 0. Factor h(s).
-3*(s - 1)**3
Let p(d) be the first derivative of -3*d**4/2 - 16*d**3/3 - 4*d**2 + 1. Factor p(u).
-2*u*(u + 2)*(3*u + 2)
Let a(r) = 23*r**2 + 20*r - 13. Let o(c) be the first derivative of 3 - 5*c**2 + 7*c - 11/3*c**3. Let q(b) = -3*a(b) - 5*o(b). Factor q(y).
-2*(y + 1)*(7*y - 2)
Solve -15*l**2 - 20*l**3 - 12*l + 4*l**4 + 16*l**2 + 27*l**2 = 0 for l.
0, 1, 3
Suppose 0*a + 0 + 8/7*a**2 - 2/7*a**3 = 0. What is a?
0, 4
Let x be (4 - (4 - 2)) + 0. Suppose 3*k + 4*u - 5 = 0, 2*k - u - 4 = k. Find r, given that 0 + 3/5*r - 36/5*r**4 - 39/5*r**k + 0*r**x = 0.
-1, -1/3, 0, 1/4
Let p(v) be t