 be 1*(-3 - -4) - 28. Let k be (n/15)/(-3)*5. Find s, given that s + 27/4*s**k + 0 + 6*s**2 = 0.
-2/3, -2/9, 0
Determine z, given that 0*z + 4/5 - 3/5*z**2 - 1/5*z**3 = 0.
-2, 1
Factor 32/9*f**3 + 4/9*f + 0 + 14/9*f**4 + 22/9*f**2.
2*f*(f + 1)**2*(7*f + 2)/9
Let l(b) = b**2 + b - 9. Let j be l(-4). Let v(m) be the first derivative of 0*m + 2 - 1/22*m**4 + 0*m**2 - 2/33*m**j. Suppose v(h) = 0. What is h?
-1, 0
Let v = 243/826 - 1/118. Let v*p - 2/7*p**2 + 4/7 = 0. What is p?
-1, 2
Let c = -2 - -7. Let a(m) be the second derivative of 1/15*m**c + 0*m**4 - 1/9*m**3 + 2*m + 0*m**2 + 0 - 1/63*m**7 + 0*m**6. Factor a(t).
-2*t*(t - 1)**2*(t + 1)**2/3
Factor -19*z**3 - 24*z**3 + 2*z**2 + 36*z**3 + 3*z + 2*z**4.
z*(z - 3)*(z - 1)*(2*z + 1)
Let v(h) be the first derivative of h**6/2 + 3*h**5/5 - 3*h**4/2 - 2*h**3 + 3*h**2/2 + 3*h + 8. Factor v(f).
3*(f - 1)**2*(f + 1)**3
Suppose -4 - 6 = -2*u. Factor 0 + 0*i - 2/3*i**4 + 0*i**3 - 2/3*i**u + 0*i**2.
-2*i**4*(i + 1)/3
Let y(g) = -g**3 - g**2 + 1. Let h(f) = -14*f**3 - 2*f**2 + 7 - f - 15*f**2 + 3*f + 5*f**2. Let q(c) = -4*h(c) + 28*y(c). Factor q(l).
4*l*(l + 1)*(7*l - 2)
Suppose -15 = -3*z, -5*z + 32 = 2*b - b. Let d(l) = -l**3 + 6*l**2 + 6*l + 10. Let h be d(b). Factor 4*c**3 - 5*c**h - 2*c**3 - c**4.
-c**3*(c + 3)
Let x be (13 + 0 - -1)/(-1). Let k be (-3)/21*49/x. Factor 0*b**2 + k*b**4 + b - b**3 - 1/2.
(b - 1)**3*(b + 1)/2
Let r(t) be the first derivative of -266/55*t**5 + 8/11*t - 3 + 40/11*t**2 - 49/11*t**6 + 86/11*t**3 + 107/22*t**4. Find f, given that r(f) = 0.
-1, -1/3, -2/7, 1
Factor 16*r**2 - 4*r**3 - 14*r + 14*r.
-4*r**2*(r - 4)
Let 2/15*t**2 + 0 + 4/3*t = 0. Calculate t.
-10, 0
Let a be 6/4 - 3/2. Let n(h) be the third derivative of 0 + a*h + 0*h**3 - 1/9*h**5 - 1/20*h**6 - 1/1008*h**8 - 2*h**2 - 1/9*h**4 - 1/90*h**7. Factor n(k).
-k*(k + 1)*(k + 2)**3/3
Let j(k) be the second derivative of -k**4/3 - 4*k**3 - 16*k**2 - 3*k. Factor j(w).
-4*(w + 2)*(w + 4)
Let c = 1 - 0. Suppose -c = -p + 1. Factor -2*v + 2*v**3 + p - 1 - 5 + 4*v**2.
2*(v - 1)*(v + 1)*(v + 2)
Let j(n) be the first derivative of n**9/8316 + n**8/1848 + n**7/1155 + n**6/1980 - n**3/3 - 2. Let u(r) be the third derivative of j(r). Factor u(o).
2*o**2*(o + 1)**2*(2*o + 1)/11
Let j(s) = 4*s**2 - 2*s + 1. Let u(o) = 9*o**2 - 4*o + 2. Let q be 26/8 - (-18)/(-72). Let g(x) = q*u(x) - 7*j(x). Let g(k) = 0. What is k?
1
Factor 0*b + 1/3 - 1/3*b**2.
-(b - 1)*(b + 1)/3
Let n = 52 - 37. Let z(w) = w**4 - w**3 + w - 1. Let j(c) = -54*c**4 + 75*c**3 + 3*c**2 - 25*c + 1. Let v(a) = n*z(a) + 3*j(a). Factor v(k).
-3*(k - 1)**2*(7*k + 2)**2
Let p(w) be the third derivative of w**8/2016 - w**7/315 - w**6/360 + w**5/45 + w**4/144 - w**3/9 - 36*w**2. Let p(a) = 0. Calculate a.
-1, 1, 4
Let x be 2/(2 - (-417)/(-210)). Let k be 1/(-4) + 115/x. Factor -2/7*o**2 - 2/7 - k*o.
-2*(o + 1)**2/7
Let w(l) be the second derivative of l**4/84 + 4*l**3/21 - 9*l**2/14 - 33*l + 1. Factor w(f).
(f - 1)*(f + 9)/7
Let t = 4/21 + -1/21. Let h(a) be the first derivative of -3/14*a**4 + 1 + 2/35*a**5 + 2/7*a**3 + 0*a - t*a**2. Factor h(m).
2*m*(m - 1)**3/7
Let t(i) be the second derivative of 4*i + 7/15*i**6 + 0*i**2 - 1/2*i**5 + 0 - 1/3*i**4 + 0*i**3. Factor t(q).
2*q**2*(q - 1)*(7*q + 2)
Suppose 0*r = u + 4*r - 9, 4*u = -2*r + 22. Suppose -3*a + 5*o + u = a, 3*a + 1 = -o. Factor 2/5*z - 2/5*z**2 + a.
-2*z*(z - 1)/5
Let r(f) be the third derivative of -7*f**5/40 - 13*f**4/48 - f**3/6 - 7*f**2. Solve r(o) = 0 for o.
-1/3, -2/7
Suppose 0 = 5*j - 2*j - 216. Let w be j/105 - (-2)/(-5). Factor 0*x + w*x**4 + 0 - 4/7*x**3 + 2/7*x**2.
2*x**2*(x - 1)**2/7
Let h(o) be the second derivative of o**4/96 - o**3/16 + o**2/8 + 8*o. What is i in h(i) = 0?
1, 2
Factor 8/3*l**2 - 8/9*l + 14/9*l**3 + 0.
2*l*(l + 2)*(7*l - 2)/9
Let q(r) be the second derivative of 0*r**2 + 0 - 1/60*r**5 + 0*r**4 - 3*r + 1/18*r**3. Factor q(o).
-o*(o - 1)*(o + 1)/3
Let m(n) be the second derivative of -n**6/105 + n**5/70 + n**4/14 - 5*n**3/21 + 2*n**2/7 + 18*n. Factor m(f).
-2*(f - 1)**3*(f + 2)/7
Let s(m) be the first derivative of 1/120*m**5 + 0*m + 0*m**4 + 1/360*m**6 + 1/3*m**3 + 0*m**2 + 1. Let o(b) be the third derivative of s(b). Factor o(c).
c*(c + 1)
Suppose 4*l + 36 = 3*t, -l + 4*l - 4*t + 34 = 0. Let g be l/28*8/(-6). Factor -2/7*z**2 - g*z**3 + 4/7*z + 0.
-2*z*(z - 1)*(z + 2)/7
Let b(q) be the first derivative of 1 + 0*q + 0*q**3 + 1/25*q**5 + 0*q**4 - 1/30*q**6 + 0*q**2. Factor b(t).
-t**4*(t - 1)/5
Let h be (8/2)/(4/2). Determine x, given that -4*x**2 + x**2 + 4*x**h - 10*x**3 + 9*x**3 = 0.
0, 1
What is l in 10/7*l + 2/7*l**2 + 0 = 0?
-5, 0
Let b(a) = -a**2 - 3*a + 2. Let o(x) = -14*x**2 - 4*x + 9. Let g(n) = -5*n**2 - n + 3. Let u(l) = -8*g(l) + 3*o(l). Let k(j) = 5*b(j) - 4*u(j). Factor k(i).
(i + 1)*(3*i - 2)
Factor 0 + 32/7*r**3 + 0*r - 8/7*r**2 - 2*r**4.
-2*r**2*(r - 2)*(7*r - 2)/7
Let r(f) be the third derivative of -f**5/390 - 15*f**2. Factor r(a).
-2*a**2/13
Let j(w) be the second derivative of -w**4/3 - 12*w. Let j(k) = 0. What is k?
0
Suppose -5*a + 34 - 6 = -4*q, 2*q = -2*a + 22. Suppose 2*w + 2*w - a = 0. Factor b**3 + 4 - 8*b + 0*b**w + 5*b**2 - 2*b**3.
-(b - 2)**2*(b - 1)
Let j(x) be the second derivative of 22/21*x**4 + 0 + 2*x + 5/21*x**6 + 0*x**2 + 8/21*x**3 + x**5. Factor j(p).
2*p*(p + 2)*(5*p + 2)**2/7
Let p(b) be the second derivative of -1/18*b**7 - 1/4*b**5 + 1/9*b**3 - 19/90*b**6 - 1/36*b**4 + 0 + 0*b**2 - 3*b. Solve p(l) = 0.
-1, 0, 2/7
Factor -16/5 + 72/5*c + 14/5*c**3 - 12*c**2.
2*(c - 2)**2*(7*c - 2)/5
Let c(k) be the first derivative of 2/3*k**2 + 27/5*k**5 - 1 - 32/9*k**3 + 15/4*k**4 + 0*k. Suppose c(p) = 0. What is p?
-1, 0, 2/9
Let a be (-3)/(-6) - (-3)/2. Suppose 2*c - 9 = 2*s + 3*s, 2*c - 3*s = 7. Let -11*d**4 - 3*d**3 + 18*d**a - 3*d**4 + 4*d - d**3 - 4*d**c = 0. Calculate d.
-1, -2/7, 0, 1
Suppose -w - 4 = -5*w. Let q be 2 - -1*(w + 0). Solve 2*b**q - 3*b**2 + b**3 - 2*b**3 + 4*b - 2*b = 0.
0, 1, 2
Factor 1/7*x**2 + 2/7 - 3/7*x.
(x - 2)*(x - 1)/7
Suppose -3*g = -o + 11, g + 9 = 4*o - o. Suppose 5*i + 5*j - 25 = 0, -o*i = 4*j - 28 + 10. Determine x so that -2 + i - 3*x**2 - 2*x + 2*x**2 = 0.
-1
Let b(q) be the first derivative of q**6/540 - q**5/270 + q**2 + 3. Let m(d) be the second derivative of b(d). Determine u so that m(u) = 0.
0, 1
Let y(f) be the third derivative of f**7/1995 + f**6/190 + f**5/114 + f**2 - 43. Solve y(x) = 0.
-5, -1, 0
Let p(k) be the second derivative of -k**6/1800 + k**5/300 + k**3/6 + 2*k. Let y(d) be the second derivative of p(d). Factor y(i).
-i*(i - 2)/5
Let i(z) be the first derivative of z**3/5 - 11*z**2/10 - 4*z/5 + 7. Let i(j) = 0. What is j?
-1/3, 4
Let n(d) be the first derivative of -1/3*d**2 - 1 + 0*d + 2/9*d**3. Factor n(h).
2*h*(h - 1)/3
Let r = -233/18 + 130/9. Find s, given that 1/2*s**4 + 3/2*s**2 + r*s**3 + 1/2*s + 0 = 0.
-1, 0
Let j(g) be the second derivative of -g**7/63 + g**6/15 - g**5/15 - g**4/9 + g**3/3 - g**2/3 + 9*g. Factor j(c).
-2*(c - 1)**4*(c + 1)/3
Let r(t) be the second derivative of t**4/72 + t**3/36 - 4*t. Factor r(g).
g*(g + 1)/6
Suppose -6*n = 7 - 31. Factor 8/5*s**5 + 0*s + 12/5*s**3 + 0 - 2/5*s**2 - 18/5*s**n.
2*s**2*(s - 1)**2*(4*s - 1)/5
Let q = 86 + -343/4. Suppose -q - 1/4*d**2 + 1/2*d = 0. Calculate d.
1
Let x be 2*(-2)/(-8)*6. Suppose x*j - j - 7 = -r, 2*j - 1 = 5*r. Determine k so that 8/3*k + 2/3*k**4 + 4*k**2 + 8/3*k**j + 2/3 = 0.
-1
Let p(v) be the third derivative of v**7/735 + v**6/210 + v**5/210 - 4*v**2. Factor p(f).
2*f**2*(f + 1)**2/7
Factor -2/3*i**2 + 20/3*i - 6.
-2*(i - 9)*(i - 1)/3
Let o(x) be the first derivative of -2 - 1/2*x**4 - 1/5*x**5 - 1/5*x - 1/30*x**6 - 2/3*x**3 - 1/2*x**2. Factor o(s).
-(s + 1)**5/5
Suppose 4*b = 22 - 6. Factor 6*t**4 + 4*t**3 - b*t**4 - 8*t**3.
2*t**3*(t - 2)
Let n = -1 + 1. Let k = n + 2. Let p(x) = -x**3 + 1. Let c(b) = -3*b**3 - 3*b**2 + 6. Let a(s) = k*p(s) - c(s). Let a(i) = 0. Calculate i.
-2, 1
Let b(l) be the second derivative of -l**5/4 - 15*l**4/4 - 20*l**3 - 40*l**2 - 2*l. Factor b(s).
-5*(s + 1)*(s + 4)**2
Let p(d) be the second derivative of 1/18*d**4 + 1/3*d**3 + 0 + 2/3*d**2 - 3*d. Find f such that p(f) = 0.
-2, -1
Let r be (198/30)/1 - 6. What is c in 3/5*c + 3/5*c**2 - r - 3/5*c**3 = 0?
-1, 1
Factor 0*r + 0 + 6/7*r**3 + 3