 + 1)**2
Factor -4 - 10 + 14 + 4*q**3 - 2*q**2 - 2*q**4.
-2*q**2*(q - 1)**2
Let q be (1 + 0)/(2/6). Factor 0*p + 3*p - 2*p + 3*p**5 - 5*p**2 - 7*p**4 + 9*p**q - p**5.
p*(p - 1)**3*(2*p - 1)
Determine m so that 1/3 + 1/3*m**4 + 0*m - 2/3*m**2 + 0*m**3 = 0.
-1, 1
Let r(w) = w**3 - w**2 + 3. Suppose 0*y + 2*y + 16 = -2*n, -2*n - 3*y - 21 = 0. Let o(c) = -4. Let a(p) = n*o(p) - 4*r(p). Factor a(f).
-4*f**2*(f - 1)
Determine z, given that 3*z + 1/3*z**2 + 8/3 = 0.
-8, -1
Suppose -k = 2*k - 6. Factor -2*v + 2*v**3 + k*v**2 - v**4 - 2*v**4 + v**4.
-2*v*(v - 1)**2*(v + 1)
Let t(u) = -u**4 + u**3 + u**2 - 5*u + 2. Let m(s) = s**3 - s**2 + s. Let o(x) = -10*m(x) - 5*t(x). Let o(d) = 0. What is d?
-1, 1, 2
Let c be (-3 + 3)/(9/6*-2). Factor c - 2/9*q**2 + 2/9*q**3 + 0*q.
2*q**2*(q - 1)/9
Suppose -5*s + 10 = 5*w, -5*w + 0*s = 4*s - 13. Let p(b) = b**3 - b**2 - 3*b + 2. Let j be p(2). Factor -3*c - 2*c**2 + w*c + 0 + j.
-2*c*(c - 1)
Let o be (0/(-1))/(6 + -3). Let o*y + y**2 + 11/4*y**4 + 0 - 3*y**3 - 3/4*y**5 = 0. What is y?
0, 2/3, 1, 2
Suppose 0 = 3*i + 3, 5*f - 13*i + 10*i = 13. Suppose 3/7*b**f - 6/7 - 3/7*b = 0. What is b?
-1, 2
Let x(k) be the first derivative of -1/6*k**3 + 0*k + 1/4*k**4 - 4 + 7/10*k**5 + 0*k**2 + 1/3*k**6. Factor x(q).
q**2*(q + 1)**2*(4*q - 1)/2
Suppose -12 = -4*b - 0*b. Factor 9*k - 10*k - b*k**3 + 4*k**3.
k*(k - 1)*(k + 1)
Let m(h) be the third derivative of -h**8/336 + h**6/60 - h**4/24 + 4*h**2 + h. Factor m(i).
-i*(i - 1)**2*(i + 1)**2
Let j(t) be the second derivative of -t**5/20 - t**4/6 - t**3/6 + 5*t. Solve j(n) = 0.
-1, 0
Let r(t) = t**3 - 4*t**2 - 2*t - 12. Let b be r(5). Find u such that 2/5*u**5 - 2/5*u + 0 + 4/5*u**4 - 4/5*u**2 + 0*u**b = 0.
-1, 0, 1
Let t(n) be the first derivative of 4 - 4/3*n**3 + 0*n**2 + 0*n. Suppose t(b) = 0. Calculate b.
0
Let 2/5 - 7/5*a**3 - 12/5*a**2 - 3/5*a = 0. Calculate a.
-1, 2/7
Let y(a) = -a**2 - 7*a + 8. Let w be y(-8). Factor -7 - 6*g**2 + 7 + 2*g**3 + w*g**3.
2*g**2*(g - 3)
Let c(u) be the second derivative of -u**4/28 + 3*u**3/14 - 33*u. Determine o so that c(o) = 0.
0, 3
Let n = 152 - 149. Let a(o) be the first derivative of -2/21*o**n + 0*o + 2 + 2/7*o**2. Find t such that a(t) = 0.
0, 2
Let t(u) be the second derivative of 0*u**3 - 4*u + 0 + 0*u**2 - 1/8*u**4 + 3/80*u**5 + 1/40*u**6. Determine d so that t(d) = 0.
-2, 0, 1
Let i(v) be the second derivative of v**7/98 + v**6/210 - v**5/28 - v**4/84 + v**3/21 + 4*v. Let i(k) = 0. Calculate k.
-1, 0, 2/3, 1
Let f(h) be the third derivative of h**7/840 - h**6/120 + h**4/6 - h**3/3 - 8*h**2. Let y(w) be the first derivative of f(w). Let y(k) = 0. What is k?
-1, 2
Let p(w) = 9*w + 5*w - 2*w - 9 - 12*w**2 + w**3. Let f be p(11). Solve 3*a**2 - 12*a**3 - 4*a + f*a**4 + 10*a - 11*a**4 = 0 for a.
-1, 0, 2/3
Let f(k) be the second derivative of k**5/25 + 2*k**4/15 - 14*k**3/15 + 8*k**2/5 + k. Factor f(y).
4*(y - 1)**2*(y + 4)/5
Determine d so that -3/4*d**2 + 1/4*d**4 + 3/2 + 7/4*d - 3/4*d**3 = 0.
-1, 2, 3
Let k be (-1)/3 + (-32)/(-6). Let i(c) be the third derivative of 1/12*c**3 + 0 + 1/120*c**k + 0*c - c**2 + 1/24*c**4. Factor i(t).
(t + 1)**2/2
Let w be 18/21 - 1 - (-69)/161. Let u be 3*2/(-42)*-2. Suppose 2/7*o + u - 2/7*o**2 - w*o**3 = 0. Calculate o.
-1, 1
Let y(f) = 3*f**2 + 3*f + 4. Let i = -3 - -2. Let q(s) = s**2 + s + 1. Let g(x) = i*y(x) + 4*q(x). Let g(b) = 0. Calculate b.
-1, 0
Let m = -2411/9 + 16460/63. Let x = 5/7 - m. Factor 1/3 + 8/3*r + 17/3*r**4 + x*r**2 + 28/3*r**3 + 4/3*r**5.
(r + 1)**4*(4*r + 1)/3
Suppose 0 = 3*y - 4 - 2. Suppose -k + 2*z = -4*k + 8, 2*k = -y*z + 6. Factor 2/3*m**k + 1/2*m - 1/6.
(m + 1)*(4*m - 1)/6
Determine o so that 9*o + 0 + 48*o**2 + 285/4*o**3 + 75/4*o**4 = 0.
-3, -2/5, 0
Let v(s) be the third derivative of 4*s**2 + 0*s - 1/18*s**3 + 1/180*s**6 + 1/630*s**7 - 1/36*s**4 + 0*s**5 + 0. Suppose v(m) = 0. Calculate m.
-1, 1
Let p(v) be the second derivative of v**6/18 - 3*v**5/20 - 7*v**4/36 + v**3/2 + v**2/3 + 28*v. Find w, given that p(w) = 0.
-1, -1/5, 1, 2
Let i(d) be the second derivative of -d**7/168 - d**6/60 - d**5/80 - 2*d. Factor i(a).
-a**3*(a + 1)**2/4
Let w = 11 - 8. Factor 90*m**4 - 24*m**w - 1 + 34*m**2 + 120*m**3 + 4*m + 1.
2*m*(3*m + 1)**2*(5*m + 2)
Let w(n) be the third derivative of n**8/1008 + n**7/315 - n**5/90 - n**4/72 + 13*n**2. Factor w(h).
h*(h - 1)*(h + 1)**3/3
Let r(h) = -h**2 + 16*h. Let s be r(16). Factor s*z**3 + z**2 - 2*z**2 - z**3.
-z**2*(z + 1)
Let h = 87 + -85. Let z(t) be the second derivative of 0*t**h + 1/40*t**5 + t + 0*t**3 + 1/60*t**6 + 0*t**4 + 0. Factor z(k).
k**3*(k + 1)/2
Suppose 15 = -2*c + 5*c. Let m(y) be the first derivative of -3*y**4 + 4/9*y**3 + 2 + 0*y**2 + 0*y + 27/5*y**c. Factor m(i).
i**2*(9*i - 2)**2/3
Let q(p) = -2*p**3 - 4*p**2 - 4*p - 3. Suppose 0*t + 5*h = -t + 3, -15 = 5*t - 5*h. Let j be q(t). Factor -2*k**3 + j*k**3 - 2*k**2 - k**3.
2*k**2*(k - 1)
Suppose 3*k - 5 = 5*r, -2*k + 3*r + 1 + 2 = 0. Factor 0 - 12*t**3 + k*t + 8/3*t**2.
-4*t**2*(9*t - 2)/3
Let z(a) = a**2 - 4*a + 3. Let h be z(2). Let u be h/5 + 28/40. Suppose 1/4*w - u*w**2 + 0 = 0. Calculate w.
0, 1/2
Let m = 3 + 1. Factor -3*o**2 + 4*o**3 - 2*o**m - 4*o + 0*o**4 + 4*o**2 + o**2.
-2*o*(o - 2)*(o - 1)*(o + 1)
Factor 24/7*c**4 + 24/7 - 12*c - 3/7*c**5 - 75/7*c**3 + 114/7*c**2.
-3*(c - 2)**3*(c - 1)**2/7
Let u(r) be the third derivative of -r**6/108 + r**5/90 + 5*r**4/108 - r**3/9 + 6*r**2. Factor u(k).
-2*(k - 1)*(k + 1)*(5*k - 3)/9
Let -8/7 - 12/7*i - 6/7*i**2 - 1/7*i**3 = 0. Calculate i.
-2
Let u(n) = 11*n**2 - 13*n - 11. Let q(b) = -6*b**2 + 7*b + 5. Let w(f) = 5*q(f) + 3*u(f). Let y(d) = 1. Let v(i) = -2*w(i) - 18*y(i). Find c such that v(c) = 0.
1/3, 1
Let a(q) be the second derivative of -q**5/20 + q**4 + 9*q**3/2 + 7*q**2 - 28*q. Factor a(c).
-(c - 14)*(c + 1)**2
Let m be ((-72)/(-28) - -2) + (23 - 23). Let l be 2/10 + 27/15. Factor 2/7 + m*a**l - 16/7*a.
2*(4*a - 1)**2/7
Suppose -11 = -4*j + 3*q, -q - 3*q = -j + 6. Let m(w) = w**2 + 6*w. Let f be m(-6). What is u in 8 + 4*u**j - 2*u**2 + f + 8*u = 0?
-2
Let s(d) = -26*d**4 - 8*d**2 + 17. Let z(g) = -9*g**4 - 3*g**2 + 6. Let w(h) = 6*s(h) - 17*z(h). Factor w(m).
-3*m**2*(m - 1)*(m + 1)
Let y(x) = -2*x - 7. Let g be y(-6). Suppose -20 = -g*n - 5. Factor 0 + 0 + 5*f - n*f**2 + 6*f**3 + 3*f**4 - 11*f.
3*f*(f - 1)*(f + 1)*(f + 2)
Let t(v) be the first derivative of -v**5/70 + v**3/7 - 2*v**2/7 + v - 2. Let q(b) be the first derivative of t(b). Factor q(i).
-2*(i - 1)**2*(i + 2)/7
Let t(g) = -2*g**3 + 4*g**2 - g - 3. Let u be t(2). Let x be ((-2)/u)/((-2)/(-4)). Determine c, given that -2/5*c**2 + 2/5*c**4 - x*c + 4/5*c**3 + 0 = 0.
-2, -1, 0, 1
Let y be (-15)/200*8/(-18). Let w(q) be the third derivative of -1/160*q**6 + 2*q**2 + 0 + 0*q + 0*q**3 - y*q**5 + 1/24*q**4 + 3/280*q**7. Factor w(r).
r*(r + 1)*(3*r - 2)**2/4
Let n(j) = -j**3 + 12*j**2. Let g be n(12). Suppose 1/4*x**3 + 0 - 1/4*x + g*x**2 = 0. Calculate x.
-1, 0, 1
Let j(m) = 3*m**2 - 46*m + 1. Let c(o) = -o**2 + 22*o - 1. Let a(h) = 9*c(h) + 4*j(h). Factor a(w).
(w + 5)*(3*w - 1)
Let i(o) = o**3 + 2*o**2 + 2*o + 2. Let v be i(-2). Let t be (0 + v)*(-3)/30. Let -1/5*h + t*h**2 + 0 = 0. Calculate h.
0, 1
Suppose 5*r + 2*a + 21 = -11, 20 = -3*r - a. Let n be (-42)/12*r/14. Determine k, given that 4*k**n + 0 - 17*k**3 - 112/3*k**4 + 49*k**5 + 4/3*k = 0.
-2/7, 0, 1/3, 1
Let o(y) = y**2 - y. Let v be o(0). Factor 1/3*c**3 + 0*c + 2/3*c**2 + v.
c**2*(c + 2)/3
Let v(d) = -d**2 - 9*d + 1. Let u be v(-8). Suppose 3*q - 11 = -2*w, 3*q = 4*q - 2*w - u. Factor 0*m**4 - 1/4*m**q + 0 - 1/4*m + 1/2*m**3 + 0*m**2.
-m*(m - 1)**2*(m + 1)**2/4
Let s(m) = -7*m**4 - 4*m**3 + 8*m**2 + 3*m + 3. Let y(t) = 20*t**4 + 12*t**3 - 24*t**2 - 8*t - 8. Let q(f) = 8*s(f) + 3*y(f). Factor q(g).
4*g**2*(g - 1)*(g + 2)
Let i(b) = -b**2 + 6*b + 10. Let h be i(7). Determine f, given that -3*f**4 + 3*f**3 + h*f + 1 + 2*f**2 - 7*f**3 + f = 0.
-1, -1/3, 1
Let v(s) = -4*s**4 - 7*s**3 - 17*s**2 - 4*s. Let p(l) = 20*l**4 + 36*l**3 + 84*l**2 + 20*l. Let i(t) = 5*p(t) + 24*v(t). Solve i(y) = 0.
-1, 0
Factor -2/11*r**2 + 4/11*r + 0.
-2*r*(r - 2)/11
Let f = -914 + 4572/5. Find z, given that 0 - 1/5*z**5 + f*z**4 - 1/5*z**3 + 0*z + 0*z**2 = 0.
0, 1
Let b be 5/((-10)/4) + 2. Suppose b - 6 = -2*v. Factor 