-1/330*h**5 - 4/33*h**3 - 5*h**2 + 0*h + 1/33*h**4 + 0. Suppose o(r) = 0. What is r?
2
Factor 0 - 1/3*t**3 + 2/3*t - 1/3*t**2.
-t*(t - 1)*(t + 2)/3
Let d(m) be the first derivative of m**6/360 - m**5/20 + 3*m**4/8 + m**3 + 2. Let x(n) be the third derivative of d(n). Factor x(s).
(s - 3)**2
Let u be (2/4)/((-7)/(-98)). Let q be ((-2)/(-7))/1*u. Find g such that -2*g**q - g + 2*g + 0*g**2 + g**3 = 0.
0, 1
Factor -8/5*w**2 + 6/5*w**3 - 6/5*w + 1/5*w**4 + 7/5.
(w - 1)**2*(w + 1)*(w + 7)/5
Let x be ((-2)/(-3))/(4 + (-146)/42). Suppose -24/11*u + 8/11 - x*u**2 = 0. Calculate u.
-2, 2/7
Let s(z) be the first derivative of 2*z**5/45 + 7*z**4/18 + 10*z**3/9 + 13*z**2/9 + 8*z/9 + 20. Find q such that s(q) = 0.
-4, -1
Factor 0 - 1/3*c**5 + 1/3*c**2 + 0*c - 1/3*c**4 + 1/3*c**3.
-c**2*(c - 1)*(c + 1)**2/3
Let 4*p + 27*p**3 + 14*p**5 - 10*p**2 + 10*p**3 - 55*p**3 + 10*p**4 = 0. Calculate p.
-1, 0, 2/7, 1
Let b(x) = x**2 - 2*x - 1. Let w be b(-1). Solve -4*v**4 + v + 3*v**3 + v**4 - 3*v**w + 2*v**4 = 0.
0, 1
Let d = 416/45 - 76/9. Factor -3/5*t**2 - d*t - 1/5 + 4/5*t**3 + 4/5*t**4.
(t - 1)*(t + 1)*(2*t + 1)**2/5
Let q = -209 - -1471/7. Factor 8/7 + 2/7*h**2 - q*h.
2*(h - 2)**2/7
Let w = 155/7 - 22. Let a(k) be the second derivative of 0 + 1/42*k**4 - 2/21*k**3 + 2*k + w*k**2. Factor a(s).
2*(s - 1)**2/7
Suppose -4/3*v + 4 - 1/3*v**4 - 3*v**2 + 2*v**3 = 0. What is v?
-1, 2, 3
Let l(j) = -4*j**2 + 4*j + 4. Let g(s) = 4*s**2 - 4*s - 3. Let i(c) = 4*g(c) + 3*l(c). Determine h, given that i(h) = 0.
0, 1
Suppose -2*c + 12 = -2. Let q be ((-4)/c)/((-36)/42). Let -q*j**4 + 2/3*j**3 + 2/3*j**2 - 2/3*j + 0 = 0. What is j?
-1, 0, 1
Let y(f) = -f**3 + 5*f**2 - 3*f + 2. Let v be y(4). Let k = -4 + v. Let -4/3*d**4 - 1/3*d + d**k + 0*d**3 + 0 = 0. Calculate d.
-1, 0, 1/2
Let o(i) = i**3 - 3*i**2 - i + 5. Let x be o(3). Let j(u) be the first derivative of 2/3*u + 2 + 2/9*u**3 + 2/3*u**x. Solve j(p) = 0 for p.
-1
Let a(t) = -9*t**5 - 5*t**4 + 5*t**3 + 5*t**2 + 4*t - 4. Let l(k) = k**5 - k + 1. Let q(r) = a(r) + 4*l(r). Factor q(x).
-5*x**2*(x - 1)*(x + 1)**2
Factor -a - 12*a**2 - 3*a**3 - 3*a + 5*a**2.
-a*(a + 1)*(3*a + 4)
Suppose -2*y + 5*y - 5 = -5*v, -5*y + 4*v - 4 = 0. Let h(s) be the second derivative of -7/12*s**4 + 3*s + y + s**2 - 5/6*s**3. Factor h(f).
-(f + 1)*(7*f - 2)
Factor 2/9*j**5 - 4/9*j**3 + 0 + 0*j**2 + 2/9*j + 0*j**4.
2*j*(j - 1)**2*(j + 1)**2/9
Suppose -12 = 5*b - r - 0, -2*b = -4*r + 12. Let i be (2 + b)*(-3)/6. Factor -4/3*x - 2/3*x**3 - 2*x**2 + i.
-2*x*(x + 1)*(x + 2)/3
Suppose -c = 8 + 3. Let g = c - -35/3. What is z in -2*z**2 + 0 + 2/3*z - g*z**3 + 2*z**4 = 0?
-1, 0, 1/3, 1
Let v = 57 + -53. Factor 2/7*c**v - 2/7*c**2 + 0 + 2/7*c - 2/7*c**3.
2*c*(c - 1)**2*(c + 1)/7
Let z be (1 + 0)/(-2) + 112/32. Factor -x - 4/5*x**2 - 1/5*x**z - 2/5.
-(x + 1)**2*(x + 2)/5
Suppose 5*z = -2*n + 4*z + 6, 0 = -4*n - z + 10. What is p in 6/11*p**n - 2/11*p**3 + 0*p - 8/11 = 0?
-1, 2
Factor -4*n - 6 - 2/3*n**2.
-2*(n + 3)**2/3
Let c(m) be the third derivative of -m**8/2352 + m**7/735 + m**6/280 - m**5/105 - m**4/42 - m**2. Solve c(w) = 0.
-1, 0, 2
Let u(o) be the second derivative of 63*o**4/4 - 6*o**3 + 6*o**2/7 + 28*o. Suppose u(b) = 0. What is b?
2/21
Suppose -4*y = -7*y - 12. Let f be 4/(y + (9 - -1)). Factor 4/3*p**2 + 2/3*p - f.
2*(p + 1)*(2*p - 1)/3
Let o(x) be the second derivative of -1/2*x**3 + 0 + 0*x**2 + 0*x**4 - 3*x - 1/1440*x**6 + 0*x**5. Let g(t) be the second derivative of o(t). Factor g(k).
-k**2/4
Let u be (-1)/(((-12)/(-9))/(-4)). Let v be 0 - (-1 - -2 - u). Let -z**2 + z**2 + z**3 - z**2 + v*z**4 = 0. What is z?
-1, 0, 1/2
Let w(o) = -o**2 - 5*o - 4. Let f be w(-4). Factor f + 2/9*h**2 - 2/9*h.
2*h*(h - 1)/9
Factor -2/3*m**5 + 0 + 0*m**3 + 0*m - 2*m**4 + 8/3*m**2.
-2*m**2*(m - 1)*(m + 2)**2/3
Let h = 1 - -2. Suppose -h*p - 2*i = -102, 4*p - i - 82 = 43. Suppose 32*d + 42*d**2 + 135*d**4 + 279*d**3 - 7*d + p*d + 153*d**2 + 6 = 0. What is d?
-1, -2/5, -1/3
Let p(v) be the second derivative of v**6/360 + v**5/180 - v**2/2 - 4*v. Let r(g) be the first derivative of p(g). Factor r(x).
x**2*(x + 1)/3
Let -2/7 + 2/7*w**2 + 0*w = 0. Calculate w.
-1, 1
Let b(v) = v - 12. Let p be b(12). Suppose -2 = -z - p*z. Factor 0 + 0*r - 2/5*r**z.
-2*r**2/5
Let k(h) = h**3 + 8*h**2 + 6*h - 5. Let q be k(-7). Let l be (3/14)/(18/24). Factor 0*i - 2/7 + l*i**q.
2*(i - 1)*(i + 1)/7
Let z(q) = -5*q**3 + 14*q**2 - 15*q + 8. Let n be ((-10)/6)/((-7)/(-21)). Let o(v) = 11*v**3 - 29*v**2 + 30*v - 17. Let d(a) = n*z(a) - 2*o(a). Factor d(g).
3*(g - 2)*(g - 1)**2
Find p such that -21*p + 3*p**3 - 4*p**4 - 9*p**2 + 6*p - 6 + 7*p**4 = 0.
-1, 2
Suppose 3*i - 16 = -4. Let j(q) be the third derivative of 0*q + 1/30*q**5 + q**2 + 0 - 1/60*q**i - 1/75*q**6 + 0*q**3. Factor j(p).
-2*p*(p - 1)*(4*p - 1)/5
Let l(j) = -8*j**2 + 10*j - 8. Let i(x) = x**2 - x + 1. Let f(w) = -6*i(w) - l(w). Factor f(d).
2*(d - 1)**2
Let y(f) be the third derivative of f**6/24 + f**5/4 + 5*f**4/12 + 10*f**2. Factor y(a).
5*a*(a + 1)*(a + 2)
Suppose -r + 5*f + 14 = 0, 16 + 2 = 2*r - 5*f. Let v be 44/24 + (-6)/r. Let -v*u**2 + 1/3*u + 0 = 0. What is u?
0, 1
Determine a so that 2/13*a**4 - 4/13 - 6/13*a + 6/13*a**3 + 2/13*a**2 = 0.
-2, -1, 1
Let t be 21/36 - 3/12. Determine w, given that 1/3*w - 2/3*w**2 + t*w**3 + 0 = 0.
0, 1
Let s(z) be the third derivative of z**8/4200 - z**7/1050 + z**5/150 - z**4/60 - z**3/3 - 3*z**2. Let x(p) be the first derivative of s(p). Solve x(q) = 0.
-1, 1
Let j(o) = -2*o**3 - 2*o**2 - o + 2. Let i(z) = -10*z**3 - 10*z**2 - 6*z + 10. Let u(h) = -3*i(h) + 16*j(h). Find k such that u(k) = 0.
-1, 1
Let q be 4*(-2 - (-40)/16). Factor 2/3*a**2 + 0 - q*a.
2*a*(a - 3)/3
Let -2/7*x**2 + 6/7 - 4/7*x = 0. Calculate x.
-3, 1
Let h(j) be the third derivative of 1/3*j**3 - 1/4*j**4 + 1/30*j**6 + 1/168*j**8 + 0*j + 1/15*j**5 - 1/35*j**7 + 3*j**2 + 0. Factor h(r).
2*(r - 1)**4*(r + 1)
Suppose -5*p - 3*x = -22, 5*p = -0*x + 2*x + 2. Let d be -3 - ((-174)/27)/p. Let 2/9*c**3 + d*c + 0 - 4/9*c**2 = 0. Calculate c.
0, 1
Factor 3/7*g**2 + 1/7 - 1/7*g**3 - 3/7*g.
-(g - 1)**3/7
Factor 0*j**2 - 4/5*j**3 + 0 + 2/5*j + 0*j**4 + 2/5*j**5.
2*j*(j - 1)**2*(j + 1)**2/5
Let y be 39/13 - 1*-1. Suppose -y*t = -6*t + 4. Factor 1/2 + 1/2*p**t + p.
(p + 1)**2/2
Let b be 14/(-105) - 4/(-20). Let n(t) be the first derivative of b*t**5 - 1/12*t**4 + 0*t - 1/9*t**3 + 1 + 1/6*t**2. Let n(m) = 0. Calculate m.
-1, 0, 1
Let w(a) be the second derivative of a**8/210 - a**7/525 - a**6/75 + a**5/150 + a**2 - a. Let z(u) be the first derivative of w(u). Suppose z(d) = 0. What is d?
-1, 0, 1/4, 1
Let s be 24/2*1/3. Let g = s - 1. Factor 0 + 0*q + 1/3*q**4 + 1/3*q**2 - 2/3*q**g.
q**2*(q - 1)**2/3
Suppose -13 = -23*x + 56. Factor 0 + 0*a**2 - 2/3*a**x + 1/3*a + 0*a**4 + 1/3*a**5.
a*(a - 1)**2*(a + 1)**2/3
Factor 30/7 + 18/7*h**2 - 54/7*h + 6/7*h**3.
6*(h - 1)**2*(h + 5)/7
Let s be (-24)/(-9) + -1 + -1. Suppose -7*f = -5*f - 6. Determine j, given that 20/9*j**f + 4/3*j + 2/9 + 8/3*j**2 + s*j**4 = 0.
-1, -1/3
Let l(p) be the second derivative of p**7/6300 + p**6/1800 - p**4/12 - p. Let o(s) be the third derivative of l(s). Determine c so that o(c) = 0.
-1, 0
Let c(z) = z**4 - z**3 - z**2 + z + 1. Let k be (-1)/3 + 4/(-6). Let f(l) = 6*l**4 - 7*l**3 - l**2 + 2*l + 2. Let a(d) = k*f(d) + 2*c(d). Solve a(t) = 0.
0, 1/4, 1
Let z be (-1 - (-24)/9) + -1. Factor 2/3*q**3 + 2*q**2 + z + 2*q.
2*(q + 1)**3/3
Let f(z) be the second derivative of 0 + 1/8*z**4 + 7*z + z**3 + 9/4*z**2. Find m such that f(m) = 0.
-3, -1
Let m(n) be the second derivative of -125*n**7/42 - 5*n**6/6 + 41*n**5/4 + 5*n**4/12 - 40*n**3/3 + 10*n**2 - 14*n. Determine k, given that m(k) = 0.
-1, 2/5, 1
Factor -9/4*m**4 - 3*m**3 - 3/8*m**5 + 6*m**2 + 12 + 18*m.
-3*(m - 2)*(m + 2)**4/8
Determine d, given that -1/5*d + 2/5*d**3 - 1/5 - 1/5*d**4 + 2/5*d**2 - 1/5*d**5 = 0.
-1, 1
Let d(l) = 5*l**2 + 9*l. Let h(i) = -19*i**2 - 36*i + 1. Let n = -1 + 2. Let p be 11 + (n - 1) + -2. Let b(g) = p*d(g) + 2*h(g). Factor b(o).
(o + 1)*(7*o + 2)
Let x(g) be the second derivative of -1/4*g**4 + 3/2*g**3 - 2*g - 3*g**2 + 0. Find k such that x(k) = 0.
1, 2
Let p(g) be the first derivative of -5*g**4/2 + 2*g**3 + 2*g**2 - 8. Factor p(t).
-2*t*(t - 1)*(5*t + 2)
Factor 2/7*s**4 - 2/7*s**