*2*(u - 1)*(u + 1)**2
Let a be 39/2*(-92)/(-345). Factor a*o**3 + 24/5*o**2 + 11/5*o + 3/5*o**5 + 14/5*o**4 + 2/5.
(o + 1)**4*(3*o + 2)/5
Let f(m) = m**3 - 5*m**2 + m - 2. Let n be f(5). Let z(r) be the first derivative of 1/3*r**2 + 1/18*r**4 - 2/9*r**n + 2 - 2/9*r. Factor z(a).
2*(a - 1)**3/9
Factor -1/10*l**2 + 2/5 + 0*l.
-(l - 2)*(l + 2)/10
Let y be (-2)/(-4)*33/11. Let p(z) be the first derivative of 1/5*z**5 + 1/2*z**6 - 2/3*z**3 - 3 + z + 3/2*z**2 - y*z**4. Determine s so that p(s) = 0.
-1, -1/3, 1
Factor -1 + h**2 - 4*h + 3*h + h**2.
(h - 1)*(2*h + 1)
Let a(v) be the first derivative of v**6/60 - v**5/60 - v**4/72 + 4*v - 4. Let x(g) be the first derivative of a(g). Find r, given that x(r) = 0.
-1/3, 0, 1
Let g(w) be the first derivative of 2*w**5/25 + w**4/10 - 2*w**3/15 - w**2/5 - 3. Determine s, given that g(s) = 0.
-1, 0, 1
Suppose -8 = 5*y - 7*y. Suppose y = o + 2. Factor 24/7*c + 26/7*c**o + 2/7*c**4 + 12/7*c**3 + 8/7.
2*(c + 1)**2*(c + 2)**2/7
Let p = 2 + 1. Let t(j) be the second derivative of 0*j**2 + 1/40*j**5 + 0 + 1/12*j**p - 2*j - 1/12*j**4. Factor t(q).
q*(q - 1)**2/2
Suppose 4*w + 4 = 5*w. Factor 32/5*m**3 + 4/5*m - 14/5*m**w - 22/5*m**2 + 0.
-2*m*(m - 1)**2*(7*m - 2)/5
Factor 0*z**2 + 4*z - 903*z**3 + 905*z**3 - 6*z**2.
2*z*(z - 2)*(z - 1)
Suppose -2*j = -30 - 60. Let g be j/6 - (-2)/(-1). Let 1/2 + 13/4*a + 8*a**2 + 19/2*a**3 + g*a**4 + 5/4*a**5 = 0. What is a?
-1, -2/5
Let l(j) be the third derivative of -2*j**7/105 - 2*j**6/15 - j**5/3 - j**4/3 - 10*j**2. Solve l(k) = 0 for k.
-2, -1, 0
Let u be ((-20)/25)/((-2)/5). Let s(c) be the second derivative of -1/3*c**3 + 0*c**u + 0 - 1/6*c**4 + c. Factor s(p).
-2*p*(p + 1)
Let d(p) be the third derivative of 1/18*p**4 + 0*p**3 + 1/63*p**7 + 0*p + 1/20*p**6 + 0 + 6*p**2 + 1/504*p**8 + 7/90*p**5. Factor d(l).
2*l*(l + 1)**3*(l + 2)/3
Find s such that 0*s - 3/2*s**3 - 3/2*s**4 - 1/2*s**2 + 0 - 1/2*s**5 = 0.
-1, 0
Let l be 34/(-36) + 2 + -1. Let b(n) be the second derivative of 0 + l*n**4 + 2*n + 0*n**2 + 1/30*n**5 + 0*n**3. Factor b(v).
2*v**2*(v + 1)/3
Let v(f) = f**2 + 4*f - 2. Let p be v(-6). Let u be ((-8)/p)/(8/(-20)). Factor 1/4*d - 1/2*d**4 + 0 + 1/2*d**u + 0*d**3 - 1/4*d**5.
-d*(d - 1)*(d + 1)**3/4
Let b be -2 + 3 + (-3)/3. Suppose 2*a + 5 - 11 = b. Factor -2*x**a + 5*x**4 + x**4 - 2*x**5 + 6*x - 2*x**3 - 2 - 4*x**2.
-2*(x - 1)**4*(x + 1)
Suppose -4*l + 20 = j + 3*j, -4*l - 8 = 0. Let o**2 + o**3 - j + 7 = 0. What is o?
-1, 0
Let m = 5 - -1. Suppose 0 = -m*g + 8*g. Solve 0*i**2 + 0*i + 1/4*i**3 + g - 1/4*i**4 = 0.
0, 1
Let l = 23 - 23. Suppose 3/2*h**5 - h**3 + 2*h**4 + l - 2*h**2 - 1/2*h = 0. What is h?
-1, -1/3, 0, 1
Let o = -1314/7 - -188. Let 6/7*y**4 + 0 + 0*y - 4/7*y**3 - o*y**2 = 0. What is y?
-1/3, 0, 1
Let m = -102 + 104. Let k(d) be the first derivative of -1/12*d**m - 1/8*d**4 - 1/6*d**3 - 1/30*d**5 - 3 + 0*d. What is u in k(u) = 0?
-1, 0
Let d(x) be the third derivative of -x**6/144 + x**5/8 - 5*x**4/6 + 20*x**3/9 - 6*x**2. Factor d(i).
-5*(i - 4)**2*(i - 1)/6
Let i(d) be the third derivative of 0 + 1/540*d**6 + 0*d**4 + 0*d - 1/270*d**5 + d**2 + 0*d**3. Factor i(j).
2*j**2*(j - 1)/9
Let s(l) = -l**5 + l**2 + l. Let j(a) = -10*a**5 + a**4 + 9*a**2 + 9*a. Let t(z) = 2*j(z) - 18*s(z). Factor t(h).
-2*h**4*(h - 1)
Let d = 1 + 0. Factor 7*r**4 + 19*r**3 - r + 0 + 2*r - d - 1 + 15*r**2.
(r + 1)**3*(7*r - 2)
Let c = 12 - 10. Let j(g) be the first derivative of -g**c + 1/5*g**5 - g + 0*g**3 + 1/2*g**4 - 1. Factor j(w).
(w - 1)*(w + 1)**3
Suppose -4*j - 4 + 20 = 0. Let i(n) be the first derivative of -1/4*n**2 - 1/2*n + 3 + 1/6*n**3 + 1/8*n**j. Suppose i(z) = 0. Calculate z.
-1, 1
Suppose r + 7 = a - r, 3*a - 5 = -2*r. Suppose -9 + n**3 - 6*n - 2*n**3 + 5 + a*n**3 = 0. What is n?
-1, 2
Let d(o) be the first derivative of o**9/4536 - o**8/5040 + o**3/3 - 3. Let g(z) be the third derivative of d(z). Let g(b) = 0. What is b?
0, 1/2
Let h(z) be the third derivative of z**9/5040 + 3*z**8/2240 + z**7/280 + z**6/240 + z**4/3 - 4*z**2. Let y(n) be the second derivative of h(n). Factor y(t).
3*t*(t + 1)**3
Let j(i) be the first derivative of -i**5/30 + i**4/18 + 4*i - 1. Let k(f) be the first derivative of j(f). Solve k(x) = 0 for x.
0, 1
Let i be (8/12)/((-14)/(-3)). Let f(u) be the second derivative of -i*u**3 - 2*u - 1/7*u**2 + 0 - 1/70*u**5 - 1/14*u**4. Determine k so that f(k) = 0.
-1
Let t be (-79)/(-5) + 3/15. Suppose i = -3*i + t. Let 2/9*l**5 + 2/3*l**i - 14/9*l**2 - 2/9*l**3 + 8/9 + 0*l = 0. What is l?
-2, -1, 1
Let n(y) be the second derivative of 0*y**3 + 1/2*y**2 + 4*y - 1/12*y**4 + 0. Factor n(j).
-(j - 1)*(j + 1)
Let 2/13*p**2 - 2/13*p**4 - 6/13*p + 0 + 6/13*p**3 = 0. Calculate p.
-1, 0, 1, 3
Let j = 49 - 44. Let l(a) be the third derivative of 4*a**2 - 1/40*a**j + 0 + 0*a + 3/16*a**4 - 1/2*a**3. Factor l(i).
-3*(i - 2)*(i - 1)/2
Suppose -4*i = 2 - 6. Let d be -1*(9/i)/(-3). Suppose 3*y**2 + 2*y**2 - 6*y**2 - y**d = 0. What is y?
-1, 0
Let k(n) be the third derivative of n**6/300 - n**5/150 - n**4/15 + 4*n**3/15 + 34*n**2. Factor k(j).
2*(j - 2)*(j - 1)*(j + 2)/5
Let g(o) be the third derivative of 0 + 1/6*o**3 - 6*o**2 + 1/30*o**5 + 0*o + 1/240*o**6 + 5/48*o**4. Factor g(y).
(y + 1)**2*(y + 2)/2
Let p(k) be the third derivative of 1/6*k**3 + 7/540*k**6 + 0 + 0*k + 1/36*k**5 - 1/18*k**4 + k**2. Let t(q) be the first derivative of p(q). Factor t(l).
2*(l + 1)*(7*l - 2)/3
Let j(y) be the first derivative of -1/5*y**5 + 1/15*y**6 + 2/3*y**3 - y**2 - 4 - y + 0*y**4. Let r(m) be the first derivative of j(m). Factor r(s).
2*(s - 1)**3*(s + 1)
Let d(a) be the first derivative of -3*a**5/5 + 3*a**4 - 5*a**3 + 3*a**2 - 13. Find v such that d(v) = 0.
0, 1, 2
Let w(b) = -5*b - 2. Let d be w(-1). Let n(m) be the second derivative of 0*m**2 + 0 + 1/24*m**d - 2*m - 1/48*m**4. Factor n(o).
-o*(o - 1)/4
What is h in 15/2*h + 85/4*h**2 + 35/4*h**4 + 85/4*h**3 + 0 + 5/4*h**5 = 0?
-3, -2, -1, 0
Let b(d) = -d**3 - 4*d**2 + 5*d + 6. Let t be b(-5). Suppose 5*l = 2*l + t. Factor 2*g**5 - 4*g**3 + g**4 + 2*g + 4*g**l - 3*g**4 + 0*g**4 - 2.
2*(g - 1)**3*(g + 1)**2
Factor 2*s**2 - 6*s**3 - s**2 + 5*s**3.
-s**2*(s - 1)
Let y(b) = -b - 2. Let q be y(-4). Find a, given that 0*a**2 - q + a**2 + 3*a - a**2 - a**2 = 0.
1, 2
Let q be (-2)/18*(15/(-6) + -2). Factor -s**2 - q*s - 1/2*s**3 + 0.
-s*(s + 1)**2/2
Let m(a) = -a**2 + 11*a + 13. Let w be m(12). Let t = w - -1. Find l such that l**2 + 7*l**3 - 2*l**3 - 3*l**t - 3*l**4 = 0.
0, 2/3, 1
Let o be 4 + (125/(-20) - -4). Let 1/2*r**2 + o*r**3 - 1/2 - 7/4*r = 0. Calculate r.
-1, -2/7, 1
Let a(w) = w - 8. Let u be a(7). Let r(z) = -z**2 + z. Let s(l) = -l**5 + 4*l**4 - 6*l**3 - 2*l**2 + 5*l. Let i(f) = u*s(f) + 6*r(f). Factor i(j).
j*(j - 1)**4
Let a be (13 - -1 - 4) + -4. Suppose p + p - a = 0. What is q in 1 + 3/2*q - 1/2*q**p + 0*q**2 = 0?
-1, 2
Let n(k) = -25*k**3 - 45*k**2 - 30*k - 10. Let i(d) = -8*d**3 - 15*d**2 - 10*d - 3. Let t(g) = 10*i(g) - 3*n(g). Factor t(x).
-5*x*(x + 1)*(x + 2)
Suppose -12 = 5*m - 11*m. Suppose 0*y - 2*y = 0. Factor y + 2/7*w**3 + 0*w**m - 2/7*w.
2*w*(w - 1)*(w + 1)/7
Let x = 589/4 + -147. Find r, given that 0*r - 1/4*r**2 - 1/2*r**3 - x*r**4 + 0 = 0.
-1, 0
Suppose 0*t - 2*t = 28. Let m be (-6)/(-14) - 1/t. Determine i, given that 0 - m*i - 1/2*i**2 = 0.
-1, 0
Let v(f) = f**4 + 5*f**3 - 3*f**2 - 5*f + 11. Let k(s) = -s**4 + s**3 - s**2 - s - 1. Let z(u) = 3*k(u) + v(u). What is q in z(q) = 0?
-1, 1, 2
Find o, given that 35/4*o**4 + 125/4*o**2 + 20*o + 95/4*o**3 + 5 + 5/4*o**5 = 0.
-2, -1
Let k(i) be the first derivative of -5*i**5/8 + 45*i**4/32 - i**3 + i**2/4 + 7. Let k(b) = 0. Calculate b.
0, 2/5, 1
Let b(z) be the second derivative of -z**3/6 + z**2/2 + 3*z. Let y(c) = -2*c**2 - 2*c + 8. Let v(n) = -4*b(n) + y(n). Determine q so that v(q) = 0.
-1, 2
Let u = 896 - 8062/9. Factor -2/9*l**3 - 2/9 + u*l + 2/9*l**2.
-2*(l - 1)**2*(l + 1)/9
Factor j**5 + 0*j**5 + 29*j**3 - j**2 - 30*j**3 + j**4.
j**2*(j - 1)*(j + 1)**2
Let v(t) be the third derivative of 1/168*t**8 + 4/21*t**5 + 0 + 5/28*t**4 - 4*t**2 + 5/42*t**6 + 2/21*t**3 + 0*t + 2/49*t**7. Determine w so that v(w) = 0.
-1, -2/7
Let x = 205/441 - 1/49. Let k(l) be the second derivative of x*l**3 + 0 - 3*l - 1/3*l**2 + 1/15*l**5 - 5/18*l**4. Solve k(y) = 0 