 x, given that 39*x**3 - 13*x**3 - 6*x**3 - 5*x**4 - 30*x - 5*x**2 = 0.
-1, 0, 2, 3
Let o(b) = 2*b + 2 + b**2 - 2 - 1. Let a be o(-3). Factor -l**4 - 1 + l**3 - 2*l + l**3 + a.
-(l - 1)**3*(l + 1)
Factor -3 + 10*g - 12*g**2 - 4*g**4 + 3*g**4 + 6*g**3 + 4*g**4 - 4*g**4.
-(g - 3)*(g - 1)**3
Let i = 16 - 14. Let n(s) be the second derivative of 1/135*s**6 + 0*s**3 + 0*s**4 + 0 + i*s - 1/90*s**5 + 0*s**2. Find o such that n(o) = 0.
0, 1
Let r(u) = -11*u**2 - 5*u + 11. Let q(x) = -12*x**3. Let y be q(1). Let p(m) = -27*m**2 - 12*m + 27. Let z(d) = y*r(d) + 5*p(d). Factor z(c).
-3*(c - 1)*(c + 1)
Let k = -32 + 65/2. Solve 1/2 + p**4 - 3/2*p**2 + k*p - 1/2*p**3 = 0 for p.
-1, -1/2, 1
Suppose 0 = -5*l + l. Suppose -10 - 5 = -3*q. Factor l*b + 0*b**3 - 3*b**3 + q*b**2 - 2*b.
-b*(b - 1)*(3*b - 2)
Let s be (16/(-10))/(-2*(-63)/(-70)). Factor 0*j - 2/9*j**2 + 0 - 2/3*j**4 + s*j**3.
-2*j**2*(j - 1)*(3*j - 1)/9
Let d(h) be the first derivative of -2*h**5/75 + h**4/15 - 2*h**3/45 - 13. Suppose d(l) = 0. Calculate l.
0, 1
Factor 1/3*y**2 - 4/3*y + 1/3*y**3 - 4/3.
(y - 2)*(y + 1)*(y + 2)/3
Suppose -3*t**5 + 3*t**3 + 3*t**4 + 3*t**5 - 2*t**5 - t**5 - 3*t**2 = 0. Calculate t.
-1, 0, 1
Let m be (-3)/7 - (-174)/210. Factor -6/5*y + 4/5 + m*y**2.
2*(y - 2)*(y - 1)/5
Let m = 11/90 + 2/45. Let o(w) be the second derivative of 0 + 1/3*w**3 - 1/10*w**5 + w**2 - m*w**4 - 3*w. Factor o(i).
-2*(i - 1)*(i + 1)**2
Let p(z) be the third derivative of -2/21*z**3 + 0 + 4*z**2 + 0*z - 1/30*z**5 + 3/28*z**4. Factor p(f).
-2*(f - 1)*(7*f - 2)/7
Let v(o) be the second derivative of 5*o**7/84 + 5*o**6/6 + 5*o**5 + 50*o**4/3 + 100*o**3/3 + 40*o**2 - 20*o + 1. Determine b, given that v(b) = 0.
-2
Let x(w) be the third derivative of -w**7/1890 - w**6/1080 + w**5/540 + w**4/216 - 49*w**2. What is o in x(o) = 0?
-1, 0, 1
Suppose -u + 6 = -5*q, 2*q = 5*u + q - 6. Suppose 5*y + 3 - u = -d, 0 = 4*y + 4. Factor 6*r**3 - 8 + 25*r**d - 7*r**3 - 24*r + 18*r**4 - 10*r**2.
2*(r - 1)*(r + 1)*(3*r + 2)**2
Let j(f) = 10*f**4 - 30*f**3 + 40*f + 12. Let q(i) = 12*i**3 - 5 - 4*i**4 - 9*i + 0 - 7*i. Let r(w) = -5*j(w) - 12*q(w). Determine s, given that r(s) = 0.
-1, 0, 2
Let a = -6 + 12. Suppose 0 = -j - j + a. Factor -348*y - 1497*y**j - 758*y**2 - 2148*y**3 - 1024*y**2 - 24 - 2187*y**4.
-3*(y + 1)*(9*y + 2)**3
Let f(s) be the second derivative of 0 - 1/6*s**4 - 1/2*s**2 + 2*s + 1/2*s**3. Determine c so that f(c) = 0.
1/2, 1
Let k be (27 + -19)*(-2)/(-36). Factor k*l + 0 - 2/3*l**2.
-2*l*(3*l - 2)/9
Let m(d) be the first derivative of -d**4/22 - 10*d**3/33 - 4*d**2/11 - 25. Determine j, given that m(j) = 0.
-4, -1, 0
Factor -1/2 + 1/4*p**2 - 1/4*p.
(p - 2)*(p + 1)/4
Factor -2/9*d**5 - 2/9*d**2 + 2/9*d**3 + 0 + 2/9*d**4 + 0*d.
-2*d**2*(d - 1)**2*(d + 1)/9
Let b = -336419/210 + 1602. Let i(p) be the third derivative of b*p**5 + 0*p**3 + 0 + 2*p**2 + 0*p + 0*p**4. Let i(h) = 0. Calculate h.
0
Let s(n) be the second derivative of -n**8/5880 + n**6/630 - n**4/84 + n**3/3 - 2*n. Let i(z) be the second derivative of s(z). Let i(r) = 0. Calculate r.
-1, 1
Let o be (9/(405/10))/((-40)/(-2)). Let b(l) be the second derivative of -o*l**6 + 0*l**4 - 2*l + 0*l**2 + 0*l**3 + 0 + 0*l**5. Suppose b(z) = 0. Calculate z.
0
Let k(s) be the second derivative of -1/42*s**4 - 4/21*s**3 + 7*s + 0 - 3/7*s**2. Factor k(f).
-2*(f + 1)*(f + 3)/7
Let m(t) be the second derivative of 5*t**7/147 - 2*t**6/105 - t**5/7 + 2*t**4/21 + 5*t**3/21 - 2*t**2/7 - 3*t. Determine o so that m(o) = 0.
-1, 2/5, 1
Let z(t) be the second derivative of -3*t + 2/3*t**4 - 1/5*t**6 - 1/21*t**7 + 0 + 0*t**3 + 0*t**2 + 0*t**5. Factor z(v).
-2*v**2*(v - 1)*(v + 2)**2
Let d(s) be the second derivative of -s**6/60 - 3*s**5/40 - s**4/8 - s**3/12 + s. Factor d(j).
-j*(j + 1)**3/2
Let n be (-520)/208*3*4/(-50). Factor 3/5*f**3 + 0 - 3/5*f**2 + n*f**4 - 3/5*f.
3*f*(f - 1)*(f + 1)**2/5
Let v(q) be the first derivative of q**5/10 - q**4/4 + q**2/2 - q/2 - 1. Factor v(a).
(a - 1)**3*(a + 1)/2
Suppose 4*d + 2*a - 10 = 0, d - 3*d + 5*a = -11. Let -7*w**d - 4 + 11*w**3 + 12*w - 5*w**2 - 7*w**2 = 0. Calculate w.
1
Suppose -m + 3*m - 14 = 0. Determine v, given that -6*v**2 - m - 3*v**2 + 1 + 6*v**2 - 9*v = 0.
-2, -1
Let v be ((-15)/6)/((-2)/4). Suppose v = 2*x + 1. Let -10/7*p**3 - 8/7*p + 0 - 2/7*p**4 - 16/7*p**x = 0. What is p?
-2, -1, 0
Let h be (-56)/(-30) - (-52)/39. What is q in 27/5*q**4 - 72/5*q**2 - 64/5*q - h + 0*q**3 = 0?
-2/3, 2
Suppose -5*g - 3 = 4*c, 2*c + 4*g - 12 = 6*g. Let d(v) be the first derivative of 1/7*v**2 - 3 - 4/7*v + 2/21*v**c. Determine s, given that d(s) = 0.
-2, 1
Let u(d) be the first derivative of d**6/840 + 10*d**3/3 + 9. Let y(f) be the third derivative of u(f). Find i such that y(i) = 0.
0
Let w(y) be the second derivative of 0*y**2 - 1/24*y**4 - 4*y + 0 + 1/6*y**3. Factor w(t).
-t*(t - 2)/2
Let j(r) = -r**3 + 4*r**2 + 6*r - 6. Let o be j(5). Let f be o*0/(-1 - 0). Factor -1/3*i**2 + f*i + 0.
-i**2/3
Suppose m - 12 = -t, 0*m - 4*t = -4*m + 16. Factor -5*x**4 + 10*x**3 - 8*x + m*x**2 - x**4 + 0*x**4.
-2*x*(x - 2)*(x + 1)*(3*x - 2)
Let o = -1/316 + 677/14220. Let m(c) be the first derivative of 0*c**3 + 1/27*c**6 + 0*c**2 - 1 + o*c**5 + 0*c**4 + 0*c. Suppose m(b) = 0. What is b?
-1, 0
Suppose -3*n = -n. Let v be (-2)/(-11) + n + 0. Let 0*r - 2/11*r**2 + 0 + 2/11*r**4 + 2/11*r**3 - v*r**5 = 0. Calculate r.
-1, 0, 1
Let z(r) = 1 - 4*r - 2 - 5*r**2 + 4*r**2. Let y be z(-3). Factor -t**4 - 2/3*t**y - 5/3*t**3 + 0*t + 0.
-t**2*(t + 1)*(3*t + 2)/3
Let v(s) be the third derivative of 0*s**3 - 1/24*s**4 + 1/210*s**7 + 0 + 2*s**2 - 1/40*s**6 + 0*s + 1/20*s**5. Factor v(n).
n*(n - 1)**3
Let n be 44*(-2)/(-28) + (-3)/21. Let l(a) be the second derivative of 1/120*a**6 + 0*a**n - 3*a + 0*a**2 + 1/24*a**4 + 3/80*a**5 + 0. Let l(r) = 0. What is r?
-2, -1, 0
Let w(d) be the second derivative of -d**7/420 + d**6/300 + 11*d**5/200 - 29*d**4/120 + 13*d**3/30 - 2*d**2/5 + 17*d. Solve w(x) = 0 for x.
-4, 1, 2
Let y(r) = -1035*r**5 + 2200*r**4 - 485*r**3 + 45*r**2 - 45. Let z(s) = 47*s**5 - 100*s**4 + 22*s**3 - 2*s**2 + 2. Let g(h) = 2*y(h) + 45*z(h). Factor g(m).
5*m**3*(m - 2)*(9*m - 2)
Let f(a) be the second derivative of -3*a**5/20 - a**4 + 23*a - 1. Factor f(i).
-3*i**2*(i + 4)
Let z = -2/9 + 4/9. Suppose 2/3*j**3 - z*j**5 - 4/9*j**2 + 0*j**4 + 0 + 0*j = 0. Calculate j.
-2, 0, 1
Find f, given that -1/3*f**5 + 0 + 0*f**4 + 0*f + 2*f**2 + 7/3*f**3 = 0.
-2, -1, 0, 3
Let z(s) be the second derivative of -2*s**6/75 + s**5/25 + s**4/15 - 2*s**3/15 + 9*s. Solve z(y) = 0 for y.
-1, 0, 1
Find v, given that 0 + 0*v + 0*v**2 - 1/4*v**3 = 0.
0
Let h(m) be the second derivative of -3*m**5/20 + m**4/2 + m**3/2 - 3*m**2 + 12*m. What is z in h(z) = 0?
-1, 1, 2
Let j = 12 - 11. Let q(a) = a. Let c(x) = x**2 + 6*x + 3. Let v(y) = 5*y**2 + 29*y + 16. Let g(d) = 11*c(d) - 2*v(d). Let m(f) = j*g(f) - 6*q(f). Factor m(u).
(u + 1)**2
Let i be 2/(-2) + (-1 - -4). Suppose -8 = -2*f - 0*f. Determine k, given that -2*k**5 + 0*k**4 + 2*k**4 + 0*k**f - i*k + 4*k**3 + 2 - 4*k**2 = 0.
-1, 1
Find t such that 17/8*t**5 - 1/2 + 6*t + 163/8*t**3 - 137/8*t**2 - 87/8*t**4 = 0.
2/17, 1, 2
Factor 25/2*o**4 - 5/2*o + 65/2*o**3 - 5 + 45/2*o**2.
5*(o + 1)**3*(5*o - 2)/2
Let c(a) be the third derivative of a**7/1470 + a**6/420 - a**5/420 - a**4/84 - a**2. Determine n, given that c(n) = 0.
-2, -1, 0, 1
Determine t so that -1/2 + 1/8*t**2 + 0*t = 0.
-2, 2
Let b = 30 - 18. Suppose m = -m + b. Suppose m*c**5 - 5*c**5 - 3*c**5 = 0. Calculate c.
0
Factor -3*i**2 - 2*i**4 + 5*i**2 + 4*i - 3*i**3 - 2*i**3 + i**3.
-2*i*(i - 1)*(i + 1)*(i + 2)
Let p(z) = -z**4 + z**3 + z**2. Let i(c) = 11*c**4 - 21*c**3 - 11*c**2 + 15*c. Let g(o) = i(o) + 6*p(o). What is j in g(j) = 0?
-1, 0, 1, 3
Find u such that 1/2*u**4 + 0 + 0*u - 1/4*u**3 - 1/4*u**5 + 0*u**2 = 0.
0, 1
Let q(t) be the second derivative of t**6/180 - t**5/60 - t**4/6 - 5*t**3/6 - t. Let h(i) be the second derivative of q(i). What is l in h(l) = 0?
-1, 2
Let s(k) be the first derivative of k**5/120 + k**4/24 + k**3/12 - 2*k**2 - 7. Let y(u) be the second derivative of s(u). Factor y(t).
(t + 1)**2/2
Let z(y) be the second derivative of -y**4/114 - 2*y**3/19 - 9*y**2/19 + 3*y. Factor z(j).
-2*(j + 3)**2/19
Suppose 0*r**5 + 66*r**3 + 2*r**5 - 68*r*