*m**3 + 3/2*m**2 + 2 = 0 for m.
2
Let n = -3 - -3. Let d = n + 2. Factor -o**4 + o**d + 0 + 0.
-o**2*(o - 1)*(o + 1)
Suppose -66*w + 62*w = -8. Find u such that -8/9*u - 8/9 - 2/9*u**w = 0.
-2
Let u(c) be the first derivative of 0*c**2 - 3 + 0*c + 1/4*c**4 - 1/6*c**6 - 1/3*c**3 + 1/5*c**5. Factor u(o).
-o**2*(o - 1)**2*(o + 1)
Let s(z) = -14*z - 98. Let b be s(-7). Solve 0*a**2 + 2/7*a**5 + b + 8/7*a**3 + 0*a + 8/7*a**4 = 0 for a.
-2, 0
Suppose -4*y + 2*s = -6, s - 15 = -2*y + 6*s. Factor -5 + 2*c**3 + y + 4*c**2 - 4*c + 2*c + 1.
2*(c - 1)*(c + 1)*(c + 2)
Let n(s) be the first derivative of s**6/120 - s**5/20 + s**4/8 - s**3/6 + s**2/8 + 3*s + 1. Let a(c) be the first derivative of n(c). Solve a(w) = 0.
1
Let x(n) = n**3 + 3*n**2 - 5*n - 3. Let u be x(-3). Let m be (-1 + 8/u)/(-1). Factor 1/3*v**3 - m*v + 1/3 - 1/3*v**2.
(v - 1)**2*(v + 1)/3
Let o = 831/2 + -415. Factor -1/2*c**2 + o*c + 1.
-(c - 2)*(c + 1)/2
Find o, given that -5 - 96*o**2 + 11*o**3 - 101*o**3 - 39*o**4 - 4 + 3*o**5 - 9*o**5 - 48*o = 0.
-3, -1, -1/2
Let s(v) = 6*v**2 + 210*v - 15. Let y(z) = -z**2 - 30*z + 2. Let q(a) = -2*s(a) - 15*y(a). Solve q(d) = 0.
-10, 0
Let z(n) be the first derivative of n**7/14 + n**6/15 - 3*n**5/20 - n**4/6 + n - 2. Let p(l) be the first derivative of z(l). Factor p(w).
w**2*(w - 1)*(w + 1)*(3*w + 2)
What is f in -1/2 - 5/4*f + 7/4*f**2 = 0?
-2/7, 1
Let l = 1/447 + 79/31290. Let h(t) be the third derivative of -1/21*t**3 + 0*t - l*t**5 + 1/42*t**4 - t**2 + 0. Find f, given that h(f) = 0.
1
Let x(o) = -o**3 - o - 1. Let l(r) = r**3 + r**2 + 2*r + 2. Let j(i) = -l(i) - 2*x(i). Let j(p) = 0. Calculate p.
0, 1
Let b(q) = -q**3 - 10*q**2 + 12*q + 13. Let v be b(-11). Let r be ((-1)/2)/(v/(-8)). Solve -1/3 + 1/3*u**r + 0*u = 0.
-1, 1
Let y = -11 + 15. Suppose 0*z - 2*z + 20 = 3*m, 20 = y*z + m. Suppose -3 + z + 1 - 1 - o**2 = 0. Calculate o.
-1, 1
Let v(x) = -x**3 - x**2 + x + 1. Let s = -7 + 6. Let r(i) = -21*i**3 - 15*i**2 + 33*i + 27. Let o(c) = s*r(c) + 18*v(c). Factor o(j).
3*(j - 3)*(j + 1)**2
Let z(h) be the second derivative of 6/5*h**2 - 8/5*h**3 + 3/4*h**5 + 1/4*h**4 + h + 0. Determine g, given that z(g) = 0.
-1, 2/5
Let l(d) = -2*d**2 + d + 1. Let n(a) = -2*a**2 + 26*a + 74. Let o(i) = -4*l(i) + 2*n(i). Factor o(w).
4*(w + 6)**2
Find t such that 1/7*t**2 + 3/7 + 4/7*t = 0.
-3, -1
Let v be 2/7 - (-2)/(-56). Let r = 51/92 - -9/46. Solve r*q**2 + 1/2 - 1/4*q**4 - 5/4*q + v*q**3 = 0 for q.
-2, 1
Let d(z) be the third derivative of z**8/10080 + z**7/3780 - z**6/1080 - z**5/180 + z**4/12 + z**2. Let s(n) be the second derivative of d(n). Factor s(m).
2*(m - 1)*(m + 1)**2/3
Let o be (13 - -2)/((-3)/(-2)). Suppose -2*b - o = -7*b. Determine c so that 2*c**3 + c**b + c**3 - 10*c**2 + 6*c = 0.
0, 1, 2
Let -4/5*q**3 - 4/5*q**2 + 0 + 4/5*q + 4/5*q**4 = 0. What is q?
-1, 0, 1
Let v(i) be the first derivative of -i**6/2 + 36*i**5/25 - 3*i**4/5 - 1. Factor v(z).
-3*z**3*(z - 2)*(5*z - 2)/5
Let w(j) be the first derivative of 2*j**3/3 + 7*j**2/3 + 8*j/3 - 35. Find b such that w(b) = 0.
-4/3, -1
Let o(l) be the third derivative of -l**9/120960 + l**8/3360 - l**7/210 + 2*l**6/45 + 7*l**5/60 + 2*l**2. Let x(w) be the third derivative of o(w). Factor x(f).
-(f - 4)**3/2
Let d(g) be the second derivative of -1/15*g**3 - 2*g + 1/30*g**4 + 1/50*g**5 + 0 - 1/5*g**2. Factor d(z).
2*(z - 1)*(z + 1)**2/5
Let h(t) be the third derivative of t**8/3360 + t**7/700 + t**6/600 - 4*t**2. Factor h(p).
p**3*(p + 1)*(p + 2)/10
Let g(p) = -6*p**2 + 10*p + 11. Let z(l) = -13*l**2 + 19*l + 23. Let s(n) = -5*g(n) + 3*z(n). Let k(i) = -3. Let j(t) = 12*k(t) + 3*s(t). Factor j(c).
-3*(c - 1)*(9*c + 2)
Let m be (-2)/(1 - -1) + 33/27. Factor -m + 0*g**2 + 2/9*g**4 + 4/9*g**3 - 4/9*g.
2*(g - 1)*(g + 1)**3/9
Suppose -2*r = -5*b - 24, 6 = -r - 0*r - 2*b. Solve 0*v - 2/7 + 2/7*v**r = 0.
-1, 1
Let m = 54 - 54. Let n(h) be the third derivative of 1/108*h**4 + 0*h - h**2 - 1/270*h**5 + m*h**3 + 0. Factor n(c).
-2*c*(c - 1)/9
Let d(h) be the second derivative of h**5/8 - 5*h**3/12 + 17*h. Factor d(i).
5*i*(i - 1)*(i + 1)/2
Let a(u) be the first derivative of 7*u**6/240 - u**5/24 - u**4/24 + 2*u**2 - 2. Let v(k) be the second derivative of a(k). Determine i, given that v(i) = 0.
-2/7, 0, 1
Let p be (-24)/(-100)*5*(-4)/(-6). Factor -6/5*n + p + 0*n**2 + 2/5*n**3.
2*(n - 1)**2*(n + 2)/5
Let z(a) be the first derivative of -5*a**6/2 - 5*a**5 - 5*a**4/2 - 8. Factor z(j).
-5*j**3*(j + 1)*(3*j + 2)
Factor -1/2*b**3 + 0 - 1/2*b**2 + 0*b + 1/2*b**4 + 1/2*b**5.
b**2*(b - 1)*(b + 1)**2/2
Suppose -5 = 2*s + 3*y - 27, 2*s + 2 = 3*y. Solve -i**4 + i**3 - i**5 + i**2 - i**5 + i**s = 0 for i.
-1, 0, 1
Let f(j) be the second derivative of j**6/30 + j**5/20 - 33*j. Factor f(w).
w**3*(w + 1)
Let l(o) = -3*o**5 - 9*o**4 - 2*o**3 + 6*o**2 + 5*o - 1. Let c(u) = -12*u**5 - 36*u**4 - 9*u**3 + 24*u**2 + 21*u - 3. Let j(m) = 4*c(m) - 15*l(m). Factor j(x).
-3*(x - 1)*(x + 1)**4
Let d(t) be the first derivative of 5 + 5*t**2 + t**3 + 3*t - 2*t**2 + 0*t**3. Let d(l) = 0. What is l?
-1
Factor 1/6*f**2 - 1/3*f + 1/6.
(f - 1)**2/6
Find k, given that -20/3*k + 14/3*k**2 + 2 = 0.
3/7, 1
Determine v, given that 26/7*v - 26/7*v**3 - 6/7 - 2/7*v**2 + 8/7*v**4 = 0.
-1, 1/4, 1, 3
Let l(o) be the second derivative of o**4/36 - o**2/6 - 10*o. Factor l(w).
(w - 1)*(w + 1)/3
Let k be (-27)/(-6)*4/3. Determine d so that 5 - 2 + 3*d**4 - 6*d**4 - k*d + d**3 + 5*d**3 = 0.
-1, 1
Let q(w) = -21*w**3 + 21*w**2 + 3*w. Let c(r) = r**4 - 21*r**3 + 20*r**2 + 4*r. Let n(x) = -3*c(x) + 4*q(x). Factor n(k).
-3*k**2*(k - 1)*(k + 8)
Let q(b) = 14*b**2 - 10*b - 4. Let o(c) = c**2 - c. Let x(f) = 8*o(f) + q(f). Factor x(m).
2*(m - 1)*(11*m + 2)
Let k(m) be the third derivative of -m**5/135 + m**4/108 + m**3/27 + 4*m**2. Factor k(r).
-2*(r - 1)*(2*r + 1)/9
Let f = 71/1515 - -2/101. Let r(w) be the first derivative of -1 - f*w**3 - 2/5*w - 3/10*w**2. Factor r(v).
-(v + 1)*(v + 2)/5
Let q(u) = u**3. Let p be 1*(7 + -2 + -1). Let m(h) = 6*h**3 + 8*h**2 - 3*h - 2. Let w(l) = p*m(l) - 36*q(l). Determine r, given that w(r) = 0.
-1/3, 1, 2
Factor 8/3 + 0*g - 2/3*g**3 - 2*g**2.
-2*(g - 1)*(g + 2)**2/3
Let q(y) be the first derivative of 0*y**2 + 0*y + 6 - 6/13*y**4 - 8/39*y**3 + 14/65*y**5. What is z in q(z) = 0?
-2/7, 0, 2
Let v = 1369/4 + -342. Suppose -1/2*h**2 + v*h**3 + 1/4*h + 0 = 0. What is h?
0, 1
Solve -3*t**3 + t**3 - 3*t**2 + t**2 = 0 for t.
-1, 0
Suppose 0 = -3*l - l + 20, 4*n + 3*l - 23 = 0. Suppose -5*g = -4*c + 2*c - 15, -g - n*c = -3. Factor 3*a**2 + a**g + 2*a**2 - 3*a**2.
a**2*(a + 2)
Let x be ((-7)/14)/(2/(-28)). Let w be 7/2 - (x - 6). Factor -9/2*r**2 + 7/2*r**4 - 5/2*r**3 + w*r + 1.
(r - 1)**2*(r + 1)*(7*r + 2)/2
Let v(k) = -9*k**3 + 21*k**2 + 4*k + 13. Let x(p) = -2 - 2 + 2*p**2 + p + 3*p**2 - 2*p**3 + 7. Let t(n) = 6*v(n) - 26*x(n). Factor t(h).
-2*h*(h + 1)**2
Suppose 8*y = 6*y + 6. Factor -4*s - s**4 - 3*s**2 + 0*s**4 + 2*s**y - 2*s**3 + 4 + 4*s**3.
-(s - 2)**2*(s - 1)*(s + 1)
Let g(u) = -u**3 + 8*u**2 - u + 10. Let x be g(8). Factor 7*s**3 + s**4 - s**3 - x*s**2 - s**2 - 4*s**4.
-3*s**2*(s - 1)**2
Let j(t) = 4*t**3 + t**2 - 2*t + 1. Let q be j(1). Suppose -p + q*p - 6 = 0. Suppose 2*g**3 + 7*g**2 + 2*g - g**p - 2*g**2 = 0. Calculate g.
-1, 0
Suppose 3 + 3 = v - 2*b, -15 = 5*b. Factor v + 3/5*q**2 + 9/5*q.
3*q*(q + 3)/5
Let f be (6/4)/(-3)*-40. Let z be (f/25)/(2/5). Factor -4*b**2 + 26*b**4 - 41*b**3 + 18*b**z + 11*b**3 - 2*b - 8*b**5.
-2*b*(b - 1)**3*(4*b - 1)
Let i = 67 - 65. Let 1/2*k**i + 1/2*k**4 + 0 + 0*k - k**3 = 0. What is k?
0, 1
What is k in -1/2*k + 0 - 1/4*k**2 = 0?
-2, 0
Let l(i) be the second derivative of 2*i**7/3 - 4*i**6/15 - 8*i. Factor l(a).
4*a**4*(7*a - 2)
Let q(s) = s + 7*s + 3*s - s - 4*s**2. Let r(b) = b**2 - 2*b. Suppose 6 = -4*n - 6. Let v(h) = n*q(h) - 16*r(h). Factor v(x).
-2*x*(2*x - 1)
Let y(c) be the third derivative of 1/480*c**6 + 2*c**2 + 0*c + 5/96*c**4 - 1/60*c**5 - 1/12*c**3 + 0. Find x such that y(x) = 0.
1, 2
Suppose 18 = -m + 5*p, -2*p = -6*m + m + 2. Suppose 0 = m*s - 4 - 2. Factor 1/4*q**s + 0*q + 1/4*q**4 - 1/4*q**2 - 1/4*q**5 + 0.
-q**2*(q - 1)**2*(q + 1)/4
Let a(q) be the second derivative of -q**5/10 + q**4/6 + 10*q. Factor a(y).
-2*y**2*(y - 1)
Let p(g) be the second derivative of -g**