at -2*a - 10*a**5 - 4*a + 7*a**o + 6*a**3 + 3*a = 0.
-1, 0, 1
Let c(h) = -3*h**4 + h**2 + 7. Suppose -10*x + x - 45 = 0. Let b(t) = -2*t**4 + 6. Let p be -1*(-1 + 1 - 4). Let g(u) = p*c(u) + x*b(u). Factor g(z).
-2*(z - 1)**2*(z + 1)**2
Suppose -4*s - 4*t = -16, -t - 26 = -6*s + s. Let x(m) be the second derivative of 0 + 1/10*m**s - 1/2*m**4 - m**2 + m**3 + m. Factor x(r).
2*(r - 1)**3
Factor 2/7 + 0*k - 2/7*k**2.
-2*(k - 1)*(k + 1)/7
Factor -14/15*a**2 - 4/15*a - 6/5*a**3 - 2/15*a**5 + 0 - 2/3*a**4.
-2*a*(a + 1)**3*(a + 2)/15
Suppose -3*i + 15 = -s + 5, 4*i - 4*s - 24 = 0. Factor i*m**3 - 4*m**3 + 3*m**2 + 2*m**3 + 2*m + m**3.
m*(m + 1)*(m + 2)
Suppose 0 = 2*i - 2*h + 54, -73 = 3*i + 3*h - 8*h. Let r = 34 + i. What is f in 0*f - f**2 - 1/2*f**r + 0 = 0?
-2, 0
Let q(x) be the second derivative of -2*x**7/21 + 4*x**6/15 + 4*x**5/5 - 2*x**4/3 - 2*x**3 + 10*x. Determine t, given that q(t) = 0.
-1, 0, 1, 3
Let 3*y**5 - 663*y + 663*y + 3*y**4 = 0. Calculate y.
-1, 0
What is z in -16*z + 6*z**2 + 35*z + 32 - 71*z = 0?
2/3, 8
Let s be -1*(-2 - 0)*1. Find l such that l**s - 4 + 1 + 2*l**2 = 0.
-1, 1
Let q = -23 - -32. Let s = -6 + q. Solve 0*g**2 + 2*g**s + 0*g**2 - 4*g**2 + 2*g**5 - 8*g**3 = 0.
-1, 0, 2
Let m(d) = 2*d + 16. Let z be m(-8). Let y(g) be the second derivative of 1/3*g**4 + 0*g**2 - 3/10*g**5 - 2*g + 0 + z*g**3. Determine q, given that y(q) = 0.
0, 2/3
Let z(r) be the third derivative of -r**7/3780 - r**3/2 - 10*r**2. Let y(i) be the first derivative of z(i). Factor y(s).
-2*s**3/9
Let -4*h**3 - 61*h**2 - 57*h**2 - 6*h**4 - 8 + 136*h**2 = 0. Calculate h.
-2, -2/3, 1
Let l(q) be the first derivative of q**3/9 + q**2/3 + q/3 + 18. Factor l(v).
(v + 1)**2/3
Let w(h) be the third derivative of -1/30*h**5 + 0 + 0*h**7 - 1/336*h**8 + 0*h + 1/3*h**3 - 3*h**2 + 1/30*h**6 - 1/8*h**4. Factor w(m).
-(m - 1)**3*(m + 1)*(m + 2)
Let x(i) = -i**3 - i**2 - i + 2. Let s be x(0). Let l(m) be the third derivative of s*m**2 - 2/21*m**3 - 1/70*m**5 + 0 + 0*m + 5/84*m**4. Factor l(z).
-2*(z - 1)*(3*z - 2)/7
Let r be -3 + -1 + -1*(-29)/7. Let x(z) be the first derivative of 3 + r*z**2 - 1/14*z**4 - 4/21*z**3 + 4/7*z. Factor x(c).
-2*(c - 1)*(c + 1)*(c + 2)/7
Let w = 1 - -9. Let b be ((-8)/(-20))/(8/w). Suppose -b*z**2 + 0*z**3 + 1/2*z**4 + 1/4*z**5 - 1/4*z + 0 = 0. What is z?
-1, 0, 1
Let t(w) be the third derivative of 0*w**4 + 7/120*w**6 + 0 + 0*w + 1/14*w**7 + 0*w**3 + 3/112*w**8 - 2*w**2 + 1/60*w**5. Factor t(n).
n**2*(n + 1)*(3*n + 1)**2
Let g = 18 + -8. Factor -2*d**3 + 9*d**2 - 2*d + 8*d**4 - g*d**3 + d**5 - 3*d**5 - d**2.
-2*d*(d - 1)**4
Let s = -139 - -139. Let j(d) be the second derivative of 1/2*d**4 - 3*d + 1/8*d**2 + s - 1/5*d**5 - 3/8*d**3. Suppose j(b) = 0. What is b?
1/4, 1
Let v(k) be the first derivative of -1/6*k**6 + 3/5*k**5 - 3/4*k**4 + 4 + 0*k + 0*k**2 + 1/3*k**3. Determine n, given that v(n) = 0.
0, 1
Let o be (-1)/(-5) - (-1 - 320/(-350)). Suppose -2/7 + 0*w + o*w**2 = 0. Calculate w.
-1, 1
Let y(v) be the third derivative of 1/84*v**4 - 1/147*v**7 + 0 + 0*v - 1/294*v**8 + 0*v**3 - 8*v**2 + 1/140*v**6 + 1/42*v**5. Solve y(t) = 0 for t.
-1, -1/4, 0, 1
Find y, given that 2/17*y + 2/17*y**2 + 0 = 0.
-1, 0
Let a(n) be the first derivative of -n**4/2 + 6*n**3/7 + 12*n**2/7 - 8*n/7 - 10. Let a(r) = 0. What is r?
-1, 2/7, 2
Let i(n) = -5*n**2 - 15*n + 14. Let b(k) = -k**2 - k. Let t(y) = 3*b(y) - i(y). Factor t(p).
2*(p - 1)*(p + 7)
Let k be (-76)/176 + (-6)/(-8). Let a = 2/11 + k. Factor 1/4*l + a*l**4 - 1/4*l**3 - 1/2*l**2 + 0.
l*(l - 1)*(l + 1)*(2*l - 1)/4
Let h(v) = -36*v**4 + 120*v**3 - 63*v**2 - 120*v + 84. Let w(k) = 5*k**4 - 17*k**3 + 9*k**2 + 17*k - 12. Let l(y) = 2*h(y) + 15*w(y). Solve l(b) = 0.
-1, 1, 4
Let w(u) = 9*u**2. Let s(j) = 4*j**2. Suppose 4*k = -v - 13, 0 = 5*v - 3*k + 5*k - 25. Let x(d) = v*s(d) - 3*w(d). Suppose x(c) = 0. What is c?
0
Let q(l) = -l**2 - 1. Let j(f) = f - 5. Let a(s) = j(s) - 4*q(s). Let x be a(1). Factor 3*y**2 - 4*y + 3*y - 3*y**x + 4*y**4 - 3*y**3.
y*(y - 1)**3
Let a(v) be the first derivative of 108*v**5/5 - 9*v**4 - 35*v**3 + 18*v**2 - 3*v - 23. Factor a(u).
3*(u - 1)*(u + 1)*(6*u - 1)**2
Let y(a) be the third derivative of a**5/180 - a**4/72 + 3*a**2. Solve y(k) = 0 for k.
0, 1
Let u(x) be the third derivative of 0*x**4 + 1/336*x**8 + 2*x**2 + 1/24*x**3 + 1/24*x**6 - 1/56*x**7 - 1/24*x**5 + 0 + 0*x. Determine s so that u(s) = 0.
-1/4, 1
Suppose -3*y = -y + 3*r - 108, -r - 140 = -3*y. Let g be (-2)/(-10) + y/10. Factor -g*q**4 - 24*q**3 + q**5 - 15*q - 2*q**5 - 3*q**4 - 32*q**2 - q.
-q*(q + 2)**4
Let l(h) = h**2 + 6*h + 1. Let c be l(-6). Let k be c + -1*(0 - -1). Factor 1/3*u**2 + 2/3*u + k.
u*(u + 2)/3
Factor -i**2 - 9*i**2 - 6*i - 3*i**2 - 14*i**2 - 21*i**3.
-3*i*(i + 1)*(7*i + 2)
Factor 30*r - 15*r**2 + 0*r**4 - 5*r - 10 - 5*r**3 + 5*r**4.
5*(r - 1)**3*(r + 2)
Let m(d) = -2*d + 45. Let a(w) = w - 22. Let z(v) = -9*a(v) - 4*m(v). Let l be z(16). Factor -2/3*r**l + 2/3*r**4 - 2/3*r + 0 + 2/3*r**3.
2*r*(r - 1)*(r + 1)**2/3
Let w = -31 - -34. Let r be 21/10 + w/(-2). Let -24/5*i - 72/5*i**3 - r - 66/5*i**2 - 27/5*i**4 = 0. What is i?
-1, -1/3
Let a = 63/65 + -10/13. Let r(b) be the first derivative of -1/3*b**3 + a*b**5 + 2 - 1/6*b**2 - 2/9*b**6 + 5/12*b**4 + 0*b. Let r(k) = 0. What is k?
-1, -1/4, 0, 1
Let m be 1/5*44/11. Let i be 12/75*(-70)/(-4). Factor i*u**2 + m + 18/5*u.
2*(u + 1)*(7*u + 2)/5
Let k(c) be the second derivative of -4/9*c**4 + 7/9*c**3 - 2*c - 2/3*c**2 + 0 + 2/45*c**6 - 1/63*c**7 + 1/15*c**5. Let k(p) = 0. What is p?
-2, 1
Let u(v) be the third derivative of 1/30*v**5 - 1/3*v**3 + 4*v**2 + 0*v - 1/60*v**6 + 1/12*v**4 + 0. Factor u(y).
-2*(y - 1)**2*(y + 1)
Factor 60*k**2 - 12*k - 210*k**4 + k**3 - 135*k**5 - 12*k**5 + 8*k**3.
-3*k*(k + 1)**2*(7*k - 2)**2
Let g be 4/(-1200)*(2 - 4). Let a(l) be the third derivative of 1/15*l**3 + 0 - l**2 + g*l**5 + 0*l + 1/30*l**4. Factor a(m).
2*(m + 1)**2/5
Let g(a) be the third derivative of a**7/12600 - a**5/600 - a**4/12 + a**2. Let h(n) be the second derivative of g(n). Factor h(f).
(f - 1)*(f + 1)/5
Factor 0*n**3 - n**2 + 0 + 0*n + 1/4*n**4.
n**2*(n - 2)*(n + 2)/4
Suppose -5*v = 15, 0 = -2*m - 2*v + 7 + 1. Let 2 + 8*g**2 + 2*g**3 + m*g + 1 - g**5 - 2*g**4 - 1 = 0. What is g?
-1, 2
Let m(b) = -b**2 + 8*b + 2. Let i be m(8). Let t be 4/(-2 - (-24)/i). Factor t*x**2 - 4/5*x + 2/5.
2*(x - 1)**2/5
Let j be 4/3*(-27)/(-18). Suppose 0 - 4/3*p - 2/3*p**3 + 10/3*p**4 - 10/3*p**2 + j*p**5 = 0. Calculate p.
-1, -2/3, 0, 1
Determine a so that 1/8*a**5 + 0*a**2 + 0*a + 1/4*a**3 + 3/8*a**4 + 0 = 0.
-2, -1, 0
Let n(c) be the second derivative of c**4/30 + c**3/15 - 2*c**2/5 + 13*c. Factor n(k).
2*(k - 1)*(k + 2)/5
Factor 0 + 1/4*a**5 + 0*a**3 - 1/2*a**2 - 1/4*a + 1/2*a**4.
a*(a - 1)*(a + 1)**3/4
Let k(x) be the third derivative of x**5/15 - 2*x**3/3 - 12*x**2. Factor k(j).
4*(j - 1)*(j + 1)
Let p(n) = n - 5. Suppose 2*q = q - 1, t - 5*q = 10. Let z be p(t). Factor z*g - 5 + 4 - 1 + g**2 + g.
(g - 1)*(g + 2)
Let g be (-5 + -1)*4/8. Let f(b) = -2*b. Let l(p) = -p**2 + 3*p. Let z(q) = g*f(q) - 2*l(q). Factor z(d).
2*d**2
Let o = -90/7 + 367/28. Factor 0 - o*i**2 + 0*i + 1/4*i**4 + 0*i**3.
i**2*(i - 1)*(i + 1)/4
Let a(t) be the second derivative of t**7/35 - 22*t**6/75 + 16*t**5/25 + 16*t**4/15 + 56*t. Solve a(y) = 0.
-2/3, 0, 4
Let q(c) be the first derivative of -14*c**5/5 - 6*c**4 - 2*c**3 + 2*c**2 - 8. Determine t, given that q(t) = 0.
-1, 0, 2/7
Let g(o) = -o**2 + 2*o. Suppose 0 = -7*a + 2*a + 10. Let l be g(a). Factor 1/2*v**5 + 5/2*v**3 + 2*v**4 + 0*v + l + v**2.
v**2*(v + 1)**2*(v + 2)/2
Let s be (-6)/(-2) - -14*(-1)/6. Factor -2/3*h**3 + 2/3*h + s*h**2 - 2/3.
-2*(h - 1)**2*(h + 1)/3
Let h(c) be the first derivative of -1/7*c**2 - 1 + 0*c - 4/21*c**3 - 1/14*c**4. Factor h(b).
-2*b*(b + 1)**2/7
Let s(w) = 13*w**3 + 11*w**2 + 5*w - 7. Let j(v) = -9*v**3 - 7*v**2 - 3*v + 5. Let n be 132/(-20) + (-4)/10. Let t(i) = n*j(i) - 5*s(i). Factor t(u).
-2*u*(u + 1)*(u + 2)
Factor -400*f**2 + 80*f**3 - 52*f**4 + 26*f**4 + 22*f**4.
-4*f**2*(f - 10)**2
Let b be (-2)/5 - -3*12/15. Factor -1/2 - s - 1/2*s**b.
-(s + 1)**2/2
Suppose -3*h = 2*m + 2, 3*m - m - 10 = 3*h. Let q = -1 - -1. Factor l**5 + 10*l**3 - 3*l**4 + 5*l - 1 - 10*l**2 + q*l - m*l**4.
(l - 1)**5
