ctor -2/9*h**2 + 4/9*h + q.
-2*(h - 3)*(h + 1)/9
Let q = -477 - -3341/7. Suppose q*y**2 - 2/7*y - 2/7 + 2/7*y**3 = 0. Calculate y.
-1, 1
Let g(i) be the second derivative of -2*i + 1/3*i**2 - 1/18*i**4 + 0 + 0*i**3. Factor g(v).
-2*(v - 1)*(v + 1)/3
Let h be (-63)/(-27) - (-4)/(-2). Let g(v) be the second derivative of h*v**4 + 1/3*v**3 + 0 + 0*v**2 + v. Factor g(y).
2*y*(2*y + 1)
Suppose z = 5*z, -z - 6 = -w. Let a(m) be the third derivative of 0*m**5 + 0 - 1/60*m**w + 0*m**3 + 0*m + m**2 + 1/12*m**4. Factor a(d).
-2*d*(d - 1)*(d + 1)
Suppose 0 = 4*s - 2*h + 3*h + 196, -5*s = -5*h + 245. Let t = s - -155/3. Factor t*g - 8/3*g**3 + 2/3 - 2/3*g**2.
-2*(g - 1)*(g + 1)*(4*g + 1)/3
Let r = -21/2 - -67/6. Let y = 12/7 - 29/21. Factor -5/3*w**2 + 0 - y*w**5 + 1/3*w**4 + r*w + w**3.
-w*(w - 1)**3*(w + 2)/3
Suppose 4*r - 2*j = 3 + 3, j - 11 = -5*r. Let x be 84/35 - r/5. Suppose k**2 - 3*k - 2*k**x + k = 0. Calculate k.
-2, 0
Let o = 19 - 44. Let n be (-7)/20 + (-15)/o. Solve 5/4*c - 5/4*c**3 - 3/4*c**2 - n + c**4 = 0.
-1, 1/4, 1
Let q be (1 - 1)/(2/1). Let s be (q - 2)*(1 - 2). Suppose -3*y**2 - 2 + 3*y + 3*y**2 - y**s = 0. What is y?
1, 2
Suppose 0 = -0*s - s + p + 7, 0 = -5*p - 25. Let k(o) be the third derivative of 0*o + 0*o**4 + s*o**2 - 1/60*o**5 + 0 + 1/6*o**3. Let k(d) = 0. Calculate d.
-1, 1
Let q(s) = -15*s + 6. Let z(c) be the second derivative of -c**4/12 + 7*c**3/3 - 7*c**2/2 - 4*c. Let m(l) = 2*q(l) + 3*z(l). Factor m(r).
-3*(r - 3)*(r - 1)
What is f in 14/5*f**2 + 116/5*f + 32/5 = 0?
-8, -2/7
Let w(m) be the second derivative of m**5/4 + 65*m**4/12 + 40*m**3 + 90*m**2 + 29*m. Factor w(h).
5*(h + 1)*(h + 6)**2
Let r(t) be the third derivative of 1/3*t**3 + 0*t + 1/180*t**6 + 2*t**2 + 1/30*t**5 + 0 + 0*t**4. Let x(d) be the first derivative of r(d). Factor x(y).
2*y*(y + 2)
Solve -12/5*a**3 + 0 - 4/5*a - 4/5*a**4 - 12/5*a**2 = 0 for a.
-1, 0
Factor -1/4*w**4 - 1/4*w - 1/4*w**5 + 1/2*w**2 - 1/4 + 1/2*w**3.
-(w - 1)**2*(w + 1)**3/4
Suppose 4*o - 80 = 2*o. Let r = -38 + o. Let 1/3*m**3 - 2/3*m**r + 1/3*m**4 + 0 + 0*m = 0. What is m?
-2, 0, 1
Let d(c) be the second derivative of c**6/240 - c**5/40 + c**4/16 - c**3/12 + c**2/16 - 3*c. What is f in d(f) = 0?
1
Let a(f) be the first derivative of -7 + 3*f**4 + 0*f + 3/5*f**5 + 0*f**2 + 3*f**3. Solve a(c) = 0.
-3, -1, 0
Let u(l) be the third derivative of 0 + 1/30*l**5 + 3*l**2 + 1/120*l**6 + 0*l**4 + 0*l + 0*l**3. Factor u(s).
s**2*(s + 2)
Solve 22*r**3 - 2 - 2*r - 8*r**3 + 6 - 4*r**2 - 12*r**3 = 0.
-1, 1, 2
Suppose 4*x + 39 - 8 = 5*v, -5*x - 14 = 2*v. Let g(m) be the second derivative of 0*m**4 - 1/10*m**5 + 0 + m + 0*m**2 + 1/3*m**v. Factor g(c).
-2*c*(c - 1)*(c + 1)
Let n = -6 + 9. Suppose b = -n*r + 11, 2*b = -0*b - 2. Let -r*x**2 - 7*x**2 - 15*x**2 + 2 + x - 24*x**4 - 50*x**3 + x = 0. Calculate x.
-1, -1/3, 1/4
Let g be (30/(-24))/(1/(-4)). Let s(m) be the third derivative of -1/28*m**4 - 1/105*m**g + 0 - 1/21*m**3 + m**2 + 0*m. Factor s(p).
-2*(p + 1)*(2*p + 1)/7
Let r(q) = -20*q**3 + 55*q**2 + 61*q + 12. Let p(u) = -21*u**3 + 55*u**2 + 60*u + 12. Let x(m) = -5*p(m) + 4*r(m). Factor x(z).
(z - 3)*(5*z + 2)**2
Let r(v) = -3*v**3 + 3*v**2 + 3*v + 2. Let x(o) = 3*o**2 - 2*o**3 + 3*o + o**3 - 2*o**2 + 1 - 2*o. Let l(k) = 2*r(k) - 5*x(k). Factor l(p).
-(p - 1)**2*(p + 1)
Let x(m) = -6*m**5 + 18*m**4 - 12*m**3 + 2*m**2 - 2*m + 2. Let f(p) = p**4 + p**3 - p**2 - p + 1. Let s(r) = 2*f(r) - x(r). Factor s(v).
2*v**2*(v - 1)**2*(3*v - 2)
Let o be (6/(-4))/(-1 - 0). Factor 1/2*r**2 + o*r + 1.
(r + 1)*(r + 2)/2
Let v(h) = -h**3 + 11*h**2 - 9*h - 6. Let a be v(10). Let o be 0 + 0 + 1 + 1. Factor -3/4*z**5 - 1/4*z**3 + 0 + 0*z - 5/4*z**a + 1/4*z**o.
-z**2*(z + 1)**2*(3*z - 1)/4
Let z(n) be the third derivative of n**7/490 + n**6/84 - 2*n**5/105 + 10*n**2. Factor z(c).
c**2*(c + 4)*(3*c - 2)/7
Suppose 4*h - 3 = 5. Factor 4*k**4 - k**3 - h*k**3 + 8*k**2 - 9*k**2.
k**2*(k - 1)*(4*k + 1)
Let w(s) be the second derivative of 2*s**6/15 - 3*s**5/5 - 3*s**4 - 10*s**3/3 + 23*s. Factor w(l).
4*l*(l - 5)*(l + 1)**2
Let m be 1*((-24)/18)/((-22)/3). Factor -m*a**2 + 2/11 + 0*a.
-2*(a - 1)*(a + 1)/11
Let k(n) be the third derivative of 0 + 1/45*n**5 + 1/36*n**4 + 0*n + 3*n**2 + 0*n**3. Factor k(d).
2*d*(2*d + 1)/3
Let v(x) be the first derivative of x**5/90 - x**3/9 - x**2/2 + 3. Let d(q) be the second derivative of v(q). Determine k, given that d(k) = 0.
-1, 1
Let x(f) be the third derivative of -2*f**7/105 - f**6/10 - f**5/5 - f**4/6 + 21*f**2. Factor x(r).
-4*r*(r + 1)**3
Factor -1/2*w**2 - 14*w - 98.
-(w + 14)**2/2
Find q, given that 0*q**4 - 1/4*q**3 + 0 + 0*q + 0*q**2 + 1/4*q**5 = 0.
-1, 0, 1
Let c be ((-10)/(-35))/(1/7). Determine k, given that 1 + 3*k - 1 - 2 + 3*k**c - 4*k**2 = 0.
1, 2
Factor 0*k - 2*k**3 - 96*k**2 + 94*k**2 + 0*k.
-2*k**2*(k + 1)
Let o(u) = -u**2 - 8*u + 6. Let t be o(-6). Let d be 3*3/t*0. Determine j, given that 1/2*j**3 + 1/2*j - j**2 + d = 0.
0, 1
Let w(k) = 4*k**3 - 4*k - 5. Let v(i) = i**3 + 6*i**2 - 7*i + 3. Let z be v(-7). Let d(h) = -2 - h + h**3 + 4 - z. Let p(b) = -5*d(b) + w(b). Factor p(s).
-s*(s - 1)*(s + 1)
Let m(o) be the second derivative of o**6/90 - o**4/18 + o**2/6 - 6*o. Factor m(p).
(p - 1)**2*(p + 1)**2/3
Let p(h) = 14*h**2 - 106*h + 104. Let j(k) = 2*k**2 - 15*k + 15. Let b(f) = 44*j(f) - 6*p(f). Factor b(o).
4*(o - 3)**2
Let h(i) = -6*i**2 - 3*i. Let y(a) = a**2. Let k(n) = -h(n) - 3*y(n). Factor k(t).
3*t*(t + 1)
Let f = -55/6 + 28/3. Let p(c) be the second derivative of -2/3*c**2 + 1/15*c**5 - 1/3*c**3 - 3*c + 0 + f*c**4. Factor p(j).
2*(j - 1)*(j + 2)*(2*j + 1)/3
Suppose -g + 3 = -2*r - 3*r, r = 0. Find n such that -n + 2*n**g - 10*n + 9*n = 0.
-1, 0, 1
Let l be (-5)/(-3)*72/40. Let k(r) be the first derivative of -1/3*r**2 + 2/9*r**l + 2 - 4/3*r. Let k(s) = 0. Calculate s.
-1, 2
Let w(q) be the third derivative of q**7/280 - 3*q**6/160 + q**5/40 + 20*q**2. Let w(b) = 0. What is b?
0, 1, 2
Factor -8/17*m**2 + 0 + 0*m - 2/17*m**4 + 8/17*m**3.
-2*m**2*(m - 2)**2/17
Let o(f) be the second derivative of -f**7/2520 + f**6/120 - 3*f**5/40 - f**4/4 + 3*f. Let h(r) be the third derivative of o(r). Factor h(z).
-(z - 3)**2
Factor -2*f**2 - 2*f + 7 + 3 - 10.
-2*f*(f + 1)
Let n(c) be the second derivative of c**6/6 + c**5/2 - 5*c**3/3 - 5*c**2/2 - 23*c. Factor n(j).
5*(j - 1)*(j + 1)**3
Let h(q) = -7*q + 13. Let l(c) = 6*c - 12. Let w(p) = 5*h(p) + 6*l(p). Let u be w(9). Factor 7/4*g**u - 3*g - 1.
(g - 2)*(7*g + 2)/4
Let g be (129/477)/((-12)/(-20)). Let a = g - 1/159. Let -2/9*k - a + 2/3*k**2 = 0. Calculate k.
-2/3, 1
Factor o - 3*o**2 + 15*o**3 - o + 6*o**2 + 12*o**4.
3*o**2*(o + 1)*(4*o + 1)
Let v(u) be the third derivative of u**8/10080 - u**7/1260 + u**6/360 + u**5/15 + u**2. Let z(q) be the third derivative of v(q). Factor z(p).
2*(p - 1)**2
Suppose 3*h = -3*a + 12, -4*h + 0*h + 4*a = 0. Let l(i) be the second derivative of 0 + 2/9*i**h - 1/27*i**3 - i - 1/54*i**4. Factor l(w).
-2*(w - 1)*(w + 2)/9
Let i(t) be the first derivative of -11/6*t**4 - 7/9*t**6 - 5 + 0*t**2 + 0*t - 4/9*t**3 - 32/15*t**5. Suppose i(a) = 0. What is a?
-1, -2/7, 0
Suppose -d - d + 4 = 0. What is u in 0*u**2 + 0*u**d - u**2 - u**2 - 2*u = 0?
-1, 0
Suppose 2*l = -2*i - 32, 2*l + l - 60 = 3*i. Let m be ((-9)/(-3))/(i/(-30)). Solve 2/11*y**4 + 0*y + 0*y**3 + 0 + 0*y**2 - 6/11*y**m = 0 for y.
0, 1/3
Let w(a) be the third derivative of a**5/510 + a**4/102 - 3*a**2. Factor w(s).
2*s*(s + 2)/17
Let m(y) = 9*y + 2. Let v be m(2). Let n be 75/v - 1/(-4). Factor 6*d**3 - 11*d**5 - 6*d**n + 3*d**2 - 5*d**2 + 13*d**5.
2*d**2*(d - 1)**3
Let u be (0 - 6/(-8))*-4. Let o be ((-2)/(3/u))/1. Let o*f**3 + 2*f**2 + 0*f**3 + f - f**3 = 0. Calculate f.
-1, 0
Suppose 0 = j - f + 5, -7*j + 3*j = 2*f + 32. Let p = -5 - j. Factor -3/4*i + 1/2 + 1/4*i**p.
(i - 2)*(i - 1)/4
Let q(l) be the third derivative of l**6/60 + 25*l**2. Factor q(h).
2*h**3
Let k(o) = -5*o**3 - 3*o**2 + 4. Let l(x) = -9*x**3 - 5*x**2 + 7. Suppose -4*n - 12 = -n. Let v(c) = n*l(c) + 7*k(c). Let v(b) = 0. Calculate b.
0, 1
Suppose 2 - 14 = -4*f. Suppose 0*j - f*j = 0. Let -2*h**3 - 4/3*h**2 + 4/3*h**4 + 0 + 2*h**5 + j*h = 0. Calculate h.
-1, -2/3, 0, 1
Let o(h) be the second derivative of -h**7/70 - h**6/50 + 2*h. Factor o(b).
-3*b**4*(b + 1)/5