-3*x*(x - 1)**4/4
Let f = 7 + -2. Factor -2*p**f + 5*p**5 + 9*p**3 - 4*p**4 - 3*p**2 - 5*p**4.
3*p**2*(p - 1)**3
Let o(y) = -13*y**3 + 27*y**2 - 27*y. Let f(a) = -6*a**3 + 14*a**2 - 14*a. Let b(v) = -5*f(v) + 2*o(v). Determine i, given that b(i) = 0.
0, 2
Let t = -6 - -8. Solve -1 - q**t + 5 - 4 = 0 for q.
0
Let l(j) = 3*j - 1. Let u be l(1). Let t be -2*((-4)/2)/u. Suppose -3*b + t*b**2 + 3*b - 2 = 0. What is b?
-1, 1
Let b(y) be the third derivative of 8*y**2 - 1/240*y**5 - 1/48*y**4 + 0*y**3 + 0*y + 0. Factor b(t).
-t*(t + 2)/4
Let j(r) be the second derivative of -r**7/210 - r**6/75 + r**4/30 + r**3/30 + 6*r. Factor j(t).
-t*(t - 1)*(t + 1)**3/5
Let n be 2/(-4) + 10/4. Factor 2*o**n - 10*o + 10*o.
2*o**2
Let l = 2 - 2. Suppose -a = -5 + 2. Factor -h**3 + l*h**4 - 2*h**4 + 3*h**a.
-2*h**3*(h - 1)
Factor 2/5*d + 2/15*d**2 + 0.
2*d*(d + 3)/15
Factor -3/2*h - 3*h**2 + 3/2*h**3 + 3.
3*(h - 2)*(h - 1)*(h + 1)/2
Let s(q) = q**3 + 10*q**2 + 2. Let g be s(-10). Let y(u) be the second derivative of 2*u - u**4 + 1/2*u**3 + 0*u**g + 0. Let y(a) = 0. What is a?
0, 1/4
Factor -16/3 - 28/3*b - 2*b**2.
-2*(b + 4)*(3*b + 2)/3
Let m be (2/35)/(9/45). Factor 0*p - m*p**3 + 0 + 6/7*p**4 + 0*p**2 - 4/7*p**5.
-2*p**3*(p - 1)*(2*p - 1)/7
Let o(c) = -c**2 - 6*c - 2. Let z be o(-5). Factor 0 + 0 - 4*r**z + 5*r**3 - r**5.
-r**3*(r - 1)*(r + 1)
Let q be ((-2)/(-3)*3)/1. Let a be -2 - q/(-2 + 1). Suppose a - 2/3*y**2 - 2/3*y = 0. Calculate y.
-1, 0
Find j, given that 0 + 1 - j**5 + 0*j**4 - 4*j**2 + 2*j**3 - j + 2*j**4 + 1 = 0.
-1, 1, 2
Let m(u) be the first derivative of u**4/10 - u**3/3 + u**2/10 + 2*u/5 + 17. Factor m(g).
(g - 2)*(g - 1)*(2*g + 1)/5
Let b = -20 - -22. Let g(s) be the second derivative of 1/24*s**4 - 1/12*s**3 - 1/2*s**b + 3*s + 0. Let g(n) = 0. What is n?
-1, 2
Let v(o) = -o**3 - o**2 + 3*o + 2. Let l be v(-2). Suppose -3*p = l, y = 2*p - 6*p + 4. Factor 19*h**3 + 4*h + 9*h**2 + 17*h**3 - y + 30*h**2.
(3*h + 2)**2*(4*h - 1)
Let z(t) be the second derivative of t**7/147 + t**6/105 + 3*t. Factor z(v).
2*v**4*(v + 1)/7
Let c(d) be the first derivative of 0*d - 1/5*d**2 - 1/15*d**3 + 4. Factor c(k).
-k*(k + 2)/5
Let t(z) = 19*z**3 + 16*z**2 + 4*z + 4. Let b = -1 + 12. Let i(h) = -56*h**3 - 48*h**2 - 12*h - 11. Let j(y) = b*t(y) + 4*i(y). Suppose j(d) = 0. What is d?
-2/3, -2/5, 0
Let p(n) be the third derivative of -2*n**7/105 - n**6/15 - n**5/15 - 5*n**2. Factor p(v).
-4*v**2*(v + 1)**2
Suppose -3*u + 5*f + 6 = 0, u - 2 = -f + 4*f. Factor -2/5 + 3/5*y - 1/5*y**u.
-(y - 2)*(y - 1)/5
Let g be (-23)/(-5) - (-2)/5. Suppose 5*b = 2*q + 6, 18 = 5*q + 9*b - 5*b. Factor q*i**3 + 5*i**2 - 2 - 2 + 4 - 2*i - g*i**4.
-i*(i - 1)*(i + 1)*(5*i - 2)
Let m(q) be the third derivative of -q**6/90 - q**5/45 - 8*q**2. Factor m(j).
-4*j**2*(j + 1)/3
Let s(a) be the first derivative of -a**7/252 - a**6/90 + a**4/36 + a**3/36 - 3*a - 5. Let r(u) be the first derivative of s(u). Factor r(b).
-b*(b - 1)*(b + 1)**3/6
Let g be 0 - (-7)/((-63)/(-300)). Let q = g + -33. Find s, given that -1/3*s**2 + q - 1/3*s**3 + 1/3*s = 0.
-1, 1
Let g be (9/12)/((-63)/(-72)). Factor 6/7*i**2 + 2/7*i**3 + g*i + 2/7.
2*(i + 1)**3/7
Suppose 0*s + 1/6*s**5 + 0 + 0*s**3 + 1/6*s**4 + 0*s**2 = 0. What is s?
-1, 0
Let y(u) be the first derivative of u**6/45 - 4*u**5/75 + 4*u**3/45 - u**2/15 + 30. Solve y(k) = 0.
-1, 0, 1
Let w(g) be the second derivative of g**6/45 - g**5/30 - g**4/18 + g**3/9 - 2*g. Factor w(a).
2*a*(a - 1)**2*(a + 1)/3
Let t(q) be the first derivative of q**6/21 - 4*q**5/35 - 3*q**4/14 + 8*q**3/21 + 4*q**2/7 - 4. Factor t(x).
2*x*(x - 2)**2*(x + 1)**2/7
Let k(o) be the third derivative of -o**7/105 + 19*o**6/300 + 2*o**5/75 + 19*o**2. Factor k(l).
-2*l**2*(l - 4)*(5*l + 1)/5
Let l(w) = -3*w**3 - w**2 - 3*w - 3. Let m(p) be the first derivative of p**4/4 - p**3/3 + p + 3. Let a(v) = l(v) + 2*m(v). Determine x so that a(x) = 0.
-1
Let f(s) be the third derivative of -s**7/210 + s**5/30 + s**3/2 - 7*s**2. Let h(j) be the first derivative of f(j). Factor h(t).
-4*t*(t - 1)*(t + 1)
Let l = 728 - 728. Factor -2/3*g**2 + l - 2/3*g**3 + 0*g - 1/6*g**4.
-g**2*(g + 2)**2/6
Let q(h) = h**2 - 75*h + 324. Let l(g) = -76*g + 324. Let t(v) = -3*l(v) + 4*q(v). Factor t(p).
4*(p - 9)**2
Find d such that 0 - 3/2*d + 21/4*d**2 = 0.
0, 2/7
Let h(g) be the third derivative of -g**2 + 0*g**3 - 1/30*g**5 + 0 - 1/12*g**4 + 0*g. Factor h(n).
-2*n*(n + 1)
Let b(m) = 5*m**2 + m - 4. Let j(h) = -2*h**2 + h. Let z(q) = 5*b(q) + 15*j(q). Factor z(x).
-5*(x - 2)**2
Let b(j) be the second derivative of 3*j**7/560 + j**6/120 + j**5/240 - 7*j**3/6 + 3*j. Let w(p) be the second derivative of b(p). Solve w(a) = 0 for a.
-1/3, 0
Let r(p) be the second derivative of -p**5/30 + p**3/9 + 2*p. Let r(j) = 0. What is j?
-1, 0, 1
Let q(l) be the third derivative of -l**6/180 + l**5/90 + l**4/18 + l**2. Factor q(u).
-2*u*(u - 2)*(u + 1)/3
Let g(u) be the third derivative of -1/21*u**5 + 0*u - 5/84*u**4 - 1/1176*u**8 - 1/42*u**6 - 5*u**2 - 1/147*u**7 - 1/21*u**3 + 0. Factor g(q).
-2*(q + 1)**5/7
Let k(j) be the second derivative of 0*j**2 + 0*j**3 + 0 + 1/50*j**5 + 1/60*j**4 + 4*j + 1/150*j**6. Find v such that k(v) = 0.
-1, 0
Let h(r) be the third derivative of 0 - 2*r**2 + 0*r**3 + 0*r - 1/525*r**7 + 0*r**4 + 1/75*r**5 - 1/300*r**6. Factor h(k).
-2*k**2*(k - 1)*(k + 2)/5
Let g(a) = -a + 2. Let l be g(-6). Let r = l - 5. Factor 1 - 3*v**3 + 5*v - 4*v + v**2 - 2*v**2 + 2*v**r.
-(v - 1)*(v + 1)**2
Let v(p) be the first derivative of 16*p**6/9 - 8*p**5/5 + p**4/2 - p**3/18 + 2. Solve v(g) = 0.
0, 1/4
Suppose -4*n - 37 + 265 = 3*g, 2*g - 8 = 0. Let r be 16*(-3)/n*-3. Factor -4/3 - 1/3*m**3 - r*m - 5/3*m**2.
-(m + 1)*(m + 2)**2/3
Factor -12*o**2 + 14*o**2 - 7 - 1.
2*(o - 2)*(o + 2)
Determine f, given that -12/11 - 2/11*f**3 - 12/11*f**2 - 2*f = 0.
-3, -2, -1
Suppose j - 3*t - 1 = -7, -2*j + t = 2. Let b = 11 + -6. Factor j*m**2 + 3*m**4 - 3/2*m**3 + 0 - 3/2*m**b + 0*m.
-3*m**3*(m - 1)**2/2
Let t be (-10)/(-40) - (-38)/8. Find z such that 0 + 2*z**2 - 1/2*z**t - 3*z**3 + 2*z**4 - 1/2*z = 0.
0, 1
Let a(d) be the second derivative of d**6/180 - 2*d**3/3 + 6*d. Let c(r) be the second derivative of a(r). Suppose c(q) = 0. What is q?
0
Let w be 32/10 - 1/5. Let f be 1 + -2 + (-162)/(-9). Find s such that -8 - s**3 - 12*s**2 + 40*s - 8 - f*s**w = 0.
-2, 2/3
Let v(q) be the first derivative of -q**6/1800 - q**5/300 - q**4/120 + 2*q**3 + 7. Let z(k) be the third derivative of v(k). Factor z(o).
-(o + 1)**2/5
Let h(g) = 8*g + 3*g**2 - g**3 - 10*g + 3*g - 5*g**2 - 4. Let z be h(-3). Factor -4/7 + 2*f - 10/7*f**z.
-2*(f - 1)*(5*f - 2)/7
Let b = 96 + -477/5. Suppose -b*z**2 - 1/5 - 1/5*z**3 - 3/5*z = 0. What is z?
-1
Let 2/19*w**5 + 8/19*w**3 - 10/19*w - 8/19*w**4 + 4/19 + 4/19*w**2 = 0. Calculate w.
-1, 1, 2
Let v = 42 - 38. Let j(f) be the third derivative of 1/20*f**5 - 1/8*f**4 + 0*f + v*f**2 + 0*f**3 + 0. Determine z, given that j(z) = 0.
0, 1
Solve -2/3*x**2 + 0 - 1/3*x**3 - 1/3*x = 0.
-1, 0
Let g be (3 - 4) + (-6)/(-2). Let m(l) be the second derivative of 0 - 3/10*l**5 + 1/10*l**6 + 6*l**2 + 4*l + g*l**3 - 3/4*l**4. Find j, given that m(j) = 0.
-1, 2
Let r(a) = a**2 - 7*a - 16. Let y be r(8). Let o = y - -8. Determine g so that -2/9*g**3 + o*g + 0 + 0*g**4 + 2/9*g**5 + 0*g**2 = 0.
-1, 0, 1
Suppose -2*k - 2*k + 12 = 0. Let h(v) be the second derivative of 0*v**k + 0*v**5 + 0 - 1/6*v**4 + 4*v + 1/15*v**6 + 0*v**2. Factor h(c).
2*c**2*(c - 1)*(c + 1)
Let m(u) be the third derivative of u**11/110880 - u**9/6720 - u**8/3360 + u**5/60 + u**2. Let r(d) be the third derivative of m(d). Find i such that r(i) = 0.
-1, 0, 2
Let f be 76/48 + 6/(-24). Suppose 2*x + k = 1, 2*x = 2*k - 5*k - 5. Factor 2/3*u + f*u**x + 0 + 2/3*u**3.
2*u*(u + 1)**2/3
Let a(b) = -3*b**2 - b + 14. Let x be a(2). Factor -1/3*y**5 - 1/3*y**2 + 0 + 1/3*y**4 + 1/3*y**3 + x*y.
-y**2*(y - 1)**2*(y + 1)/3
Let h(y) be the first derivative of -y**5 - 15*y**4/4 - 5*y**3 - 5*y**2/2 + 9. Factor h(j).
-5*j*(j + 1)**3
Let o(m) be the second derivative of m**6/6 + 5*m**5/4 - 5*m**4/12 - 25*m**3/6 - 2*m. Let o(f) = 0. Calculate f.
-5, -1, 0, 1
Factor 25*s**2 + 6*s**5 - s**5 - 10*s - 5*s**4 + 0*s**5 - 15*s**3.
5*s*(s - 1)**3*(s + 2)
Let p(x) be the first derivative of 4*x**5/15 - x**