157*s**2 - 2*s**3 - s + 161*s**2 = 0 for s.
-1, 0, 3
Let r(l) = -6*l**2 - 5*l + 6. Let y(f) = 7*f**2 + 4*f - 5. Let c(o) = 4*r(o) + 5*y(o). Let j(v) = -2*v**2. Let u(x) = -2*c(x) - 10*j(x). Factor u(b).
-2*(b - 1)*(b + 1)
Let l(f) be the third derivative of f**7/3780 - f**6/1080 + f**4/6 + 3*f**2. Let s(o) be the second derivative of l(o). Find n such that s(n) = 0.
0, 1
Let m(c) be the first derivative of -c**3/9 + c**2/2 - 2*c/3 - 11. Factor m(r).
-(r - 2)*(r - 1)/3
Let s(f) be the second derivative of -f**5/5 - 4*f**4/3 - 10*f**3/3 - 4*f**2 + 2*f. Let s(k) = 0. What is k?
-2, -1
Let w be 102 + -110 - (-8)/1. Find f such that 0*f + 3/5*f**4 + 0*f**3 + 0*f**2 + w + 3/5*f**5 = 0.
-1, 0
Let p(k) = -2*k**2 - 8*k. Let d = 16 + -11. Let y(u) = -9*u**2 - 33*u. Let a(r) = d*y(r) - 21*p(r). Determine o, given that a(o) = 0.
0, 1
Suppose -4*i - 12 = 3*a, 0 = 4*a + a + i + 3. Suppose 5/2*r**3 - 3/2*r**2 - r + a = 0. Calculate r.
-2/5, 0, 1
Let w = -10 + -35. Let o = w - -229/5. What is m in 6/5*m + 2/5*m**2 + o = 0?
-2, -1
Let k be (24/32)/(1/24). Factor 1/2*j + 6*j**2 + k*j**3 + 0.
j*(6*j + 1)**2/2
Determine u, given that 97*u + 1 - 4*u**4 - u**4 - 2*u**3 + 2*u**2 - 94*u + 2*u**4 - u**5 = 0.
-1, 1
Let t(u) be the third derivative of u**7/2520 + u**6/540 - u**3/3 + 4*u**2. Let v(n) be the first derivative of t(n). Determine b so that v(b) = 0.
-2, 0
Determine s, given that -6*s**3 - 21/4*s**5 + 0*s + 41/4*s**4 + s**2 + 0 = 0.
0, 2/7, 2/3, 1
What is s in 4 - 4*s**2 + 2 - 6 = 0?
0
Factor -1/2 - 1/2*d**2 - d.
-(d + 1)**2/2
Let q(y) be the third derivative of -y**7/35 + y**6/8 - y**5/10 - 23*y**2. Determine w so that q(w) = 0.
0, 1/2, 2
Suppose j - 22 + 20 = 0. Suppose -1/2*v + 0 - v**j = 0. Calculate v.
-1/2, 0
Suppose -2*v = 2*v - 116. Determine f, given that -2*f**3 + f**2 - f**4 + 30*f**5 + f**3 - v*f**5 = 0.
-1, 0, 1
Factor 1/5*w + 2/5 - 1/5*w**2.
-(w - 2)*(w + 1)/5
Let t(k) = 3*k**2 + 8*k - 9. Let p(b) = 2*b**2 + 4*b - 5. Let w(m) = 5*p(m) - 3*t(m). Let g(q) = -3*q**2 + 12*q - 5. Let a(s) = 2*g(s) + 7*w(s). Factor a(h).
(h - 2)**2
Let j be (-9)/12 + (-174)/(-168). Determine w so that 6/7*w**3 + 6/7*w**4 + 0 + j*w**2 + 2/7*w**5 + 0*w = 0.
-1, 0
Let b(h) be the second derivative of -5*h**7/168 - h**6/6 - h**5/4 + 8*h. Factor b(f).
-5*f**3*(f + 2)**2/4
Let m(x) be the first derivative of -2*x**3/15 + x**2/5 + 29. Suppose m(b) = 0. Calculate b.
0, 1
Let g(y) be the second derivative of -y**5/10 + 5*y**4/24 + 7*y**3/12 - y**2/2 - 9*y. Factor g(n).
-(n - 2)*(n + 1)*(4*n - 1)/2
Let 3/7*d + 12/7*d**2 - 6/7*d**4 + 3/7*d**5 - 6/7*d**3 - 6/7 = 0. Calculate d.
-1, 1, 2
Let c be 54/10 + (-8)/20. Suppose y - 2*y = k - c, 0 = 2*k + 3*y - 12. What is x in 7*x**4 - x**5 - 3 - 6*x**4 + k = 0?
0, 1
Let v be (3078/12)/(623/2). Let o = v + 3/89. Factor -2/7*i + 8/7*i**2 - o*i**3 + 0.
-2*i*(i - 1)*(3*i - 1)/7
Let n(j) be the second derivative of -2*j**7/105 - 4*j**6/75 - j**5/25 - 18*j. Find p, given that n(p) = 0.
-1, 0
Factor 5 - w**3 + 0*w**3 - 7 - 5*w + 0*w - 4*w**2.
-(w + 1)**2*(w + 2)
Factor -16 + 2 - 15*o - 7*o**2 + 5 - o**3.
-(o + 1)*(o + 3)**2
Let r(g) be the second derivative of g**6/50 - 3*g**5/100 - g**4/20 + g**3/10 - 14*g. Factor r(a).
3*a*(a - 1)**2*(a + 1)/5
Let b(t) be the third derivative of 0*t**3 + t**2 + 0 + 1/90*t**5 + 0*t - 1/36*t**4. Factor b(i).
2*i*(i - 1)/3
Factor m**2 + 2 - 3 + 4*m - 4*m.
(m - 1)*(m + 1)
Let z(u) be the first derivative of 5*u**6/6 + u**5 - 32. Factor z(j).
5*j**4*(j + 1)
Let a(j) be the first derivative of j**5/50 + j**4/15 - j**3/15 - 2*j**2/5 + 3*j + 3. Let r(d) be the first derivative of a(d). Factor r(z).
2*(z - 1)*(z + 1)*(z + 2)/5
Factor 2*d**2 + 10/3*d**4 + 0*d + 0 - 2/3*d**5 - 14/3*d**3.
-2*d**2*(d - 3)*(d - 1)**2/3
Let y be 114/336 - (-1)/(-3). Let g(h) be the second derivative of 2*h - 1/80*h**5 - y*h**7 + 0*h**2 + 0 + 0*h**3 - 1/60*h**6 + 0*h**4. Factor g(f).
-f**3*(f + 1)**2/4
Factor 3/7*i**3 + 3*i - 9/7 - 15/7*i**2.
3*(i - 3)*(i - 1)**2/7
What is n in -5*n**4 + 54*n - 10*n**4 - 10*n**2 - 49*n - 15*n**2 + 35*n**3 = 0?
0, 1/3, 1
Let t(p) = -p**3 + p**2 + 2*p - 2. Suppose 2*z + 33 = -z. Let m(g) = 6*g**3 - 6*g**2 - 11*g + 11. Let w(h) = z*t(h) - 2*m(h). Factor w(v).
-v**2*(v - 1)
Let v = -7 - -9. Let t(s) be the third derivative of 0 - 1/60*s**6 + 1/24*s**4 + 0*s**5 + 1/336*s**8 + 2*s**v + 0*s**3 + 0*s + 0*s**7. Factor t(w).
w*(w - 1)**2*(w + 1)**2
Let g(a) = 8*a - 30. Let l be g(4). What is m in 0 + 2/3*m + 2/3*m**l = 0?
-1, 0
Suppose -6 + 26 = 4*b, 4*b = 3*a - 169. Let p be -1*(4 + a/(-15)). Suppose -3/5*u**2 - p*u + 0 = 0. What is u?
-1/3, 0
Let n be (-1 - -1) + -1 - -9. Factor 3 - n*z**2 - 7 - z**3 - z**3 - 10*z.
-2*(z + 1)**2*(z + 2)
Let k be (-3)/(-1) - 17/6. Let b(c) be the third derivative of -1/60*c**5 + k*c**4 + 0 - 2/3*c**3 - 2*c**2 + 0*c. Factor b(f).
-(f - 2)**2
Let z be ((-4)/200)/((-6)/5). Let p(h) be the third derivative of 0*h + 0 + 2/3*h**4 + z*h**6 - 1/6*h**5 - 4/3*h**3 - 2*h**2. Suppose p(k) = 0. Calculate k.
1, 2
Suppose -4*g + 4*b = 2*b - 16, 5*b + 10 = 0. Determine v so that -7*v**2 + 4*v**2 + v**4 - v**g + 3*v**2 = 0.
0, 1
Let k(m) be the third derivative of m**6/280 - 3*m**5/140 + m**4/28 + 7*m**2. Factor k(s).
3*s*(s - 2)*(s - 1)/7
Let t = 3/298 - 211/35760. Let k(j) be the third derivative of j**2 + 0 + 1/480*j**6 + 0*j**3 + 0*j + 0*j**4 + t*j**5. Factor k(w).
w**2*(w + 1)/4
Let f = -2152/3 - -718. Solve -f*g**3 - 2/3*g**2 + 0 + 0*g = 0 for g.
-1, 0
Let s(u) be the third derivative of u**7/126 - u**6/90 - u**5/180 - 6*u**2. Factor s(n).
n**2*(n - 1)*(5*n + 1)/3
Let k be 1*24*1 + -2. Solve k*s**4 - 3*s**2 - 2*s**3 + 20*s**3 - 2*s + 8*s**5 + 5*s**2 = 0.
-1, 0, 1/4
Let t(x) be the third derivative of x**7/1260 + x**6/360 + x**4/12 - 2*x**2. Let v(f) be the second derivative of t(f). Factor v(g).
2*g*(g + 1)
Let s(t) be the third derivative of 0 + t**2 - 1/120*t**5 + 0*t + 5/96*t**4 - 1/96*t**6 + 1/12*t**3. Determine l, given that s(l) = 0.
-1, -2/5, 1
Let n(j) be the first derivative of -j**4/3 - 4*j**3 - 18*j**2 - 5*j - 7. Let q(h) be the first derivative of n(h). Factor q(d).
-4*(d + 3)**2
Let f(d) be the second derivative of d**4/54 - 19*d**3/27 + 2*d**2 + 46*d - 1. Factor f(c).
2*(c - 18)*(c - 1)/9
Let r(k) be the first derivative of k**6/2 - 3*k**4/2 + 3*k**2/2 - 5. Determine o, given that r(o) = 0.
-1, 0, 1
Let m be (1/(-3))/((-2)/6). Let w be m/3 - 5/(-15). Let -2/3*j**4 + 0*j + 2/3*j**3 + w*j**2 - 2/3*j**5 + 0 = 0. What is j?
-1, 0, 1
Let b(d) be the third derivative of d**7/210 + 13*d**6/360 + 19*d**5/180 + 11*d**4/72 + d**3/9 + 13*d**2. What is j in b(j) = 0?
-2, -1, -1/3
Factor 2*x**5 + 13*x**3 + 2*x**2 - 17*x**3 - 2 - x**5 + 3*x.
(x - 1)**3*(x + 1)*(x + 2)
Let g(v) = -9*v**2 + 2*v - 12. Let n(o) = -8*o**2 + 3*o - 11. Let p(u) = 6*g(u) - 7*n(u). Let l(i) = 3*i**2 - 14*i + 8. Let t(d) = 5*l(d) - 8*p(d). Factor t(j).
-j*(j - 2)
Suppose -3/4*b**2 + 0 + 15/4*b = 0. What is b?
0, 5
Let k = 2 - -4. Factor 2*i**2 - 4*i**2 + 0*i - 5*i**3 + k*i**3 + i.
i*(i - 1)**2
Suppose -f = -5*f + 8. Let k = 0 + 3. Determine r, given that -r**f + 13*r**3 - 5*r**k - r**2 - 8*r**4 = 0.
0, 1/2
Let v = -77 + 79. Factor 4/5*u**3 + 0*u + 0 - 14/5*u**4 + 0*u**v.
-2*u**3*(7*u - 2)/5
Factor 2*f + 7*f**2 + 21*f**3 + 5*f**2 + 5*f**5 + 17*f**4 - f**2.
f*(f + 1)**3*(5*f + 2)
Let x(v) be the first derivative of 0*v**4 + 0*v**2 + 2/35*v**5 - 2/21*v**3 - 1 + 0*v. Factor x(s).
2*s**2*(s - 1)*(s + 1)/7
Let f(v) be the third derivative of 0*v**3 + 0*v + 1/120*v**5 + 0 + 1/48*v**4 - 2*v**2. Factor f(m).
m*(m + 1)/2
Let i be 16/(-10)*30/(-12). Suppose 0 = -i*q - 4 + 16. Let -5/2*r**q - r + 0 + 7/2*r**2 = 0. Calculate r.
0, 2/5, 1
Let x(c) be the second derivative of c**7/63 + 2*c**6/45 + c**5/30 - 6*c. Let x(q) = 0. What is q?
-1, 0
Suppose 3/2*z + 3/4*z**4 + 0 - 15/4*z**2 - 3/4*z**5 + 9/4*z**3 = 0. What is z?
-2, 0, 1
Suppose -4*i = -4*h, 2*h - 5 - 5 = 0. Suppose 3*f = -i - 7. Let w(g) = -5*g**3 + 5*g**2. Let r(k) = -4*k**3 + 4*k**2. Let z(x) = f*r(x) + 3*w(x). Factor z(q).
q**2*(q - 1)
Factor 0*u**4 - 5*u**4 + 3*u**2 + 3*u**4 - u**2.
-2*u**2*(u - 1)*(u + 1)
Let p = 20/11 + -29/22. What is h in 0 + 0*h**2 + 0*h**3 - p*h**4 + 0*h = 0?
0
Let r be (1 - 3/1)/((-1)/2). Find n such that 2*n - r*n**2 - 1/4 = 0.
1/4
Let c(u) b