0.
-1, -2/7
Let u be (-1)/(-2) - 39/(-6). Factor 3*g + 2 + 0 - 2 + g**4 + 5*g**3 + u*g**2.
g*(g + 1)**2*(g + 3)
Let d = 59 + -175/3. Let r(o) = -o**3 + 8*o**2 - 6*o - 7. Let c be r(7). Factor -4/3*f**3 + c*f**2 + 4/3*f - d*f**4 + 2/3.
-2*(f - 1)*(f + 1)**3/3
Suppose -5*t + 9 = 3*n, 6*n + 5*t + 6 = 8*n. Factor 3/2 - 3/2*r**n + 3/2*r - 3/2*r**2.
-3*(r - 1)*(r + 1)**2/2
Suppose -7*m = 6*m. Let g(p) be the third derivative of -p**2 + 1/8*p**3 - 11/80*p**6 + 13/280*p**7 + 0 - 3/448*p**8 + 9/40*p**5 + m*p - 7/32*p**4. Factor g(j).
-3*(j - 1)**4*(3*j - 1)/4
Suppose 14*y**2 - 147*y - 79*y**2 - 90*y**2 - 55*y**2 - 75*y**3 = 0. What is y?
-7/5, 0
Solve -1/3*b**2 + 1/3*b**3 + 0*b + 0 = 0.
0, 1
Factor 14*b**3 + 4*b**2 + 8*b**3 + b**4 + 9*b**3 - 35*b**3.
b**2*(b - 2)**2
Suppose -26 = -5*x + 2*n, 2*x = -0*n + 4*n + 4. Solve -q**3 + x*q**2 - 11*q**2 + 7*q**2 = 0 for q.
0, 2
Let j(m) be the second derivative of 1/15*m**6 - 1/10*m**5 + 1/3*m**3 - 1/6*m**4 + 0*m**2 + 0 - 3*m. Let j(l) = 0. Calculate l.
-1, 0, 1
What is s in 6/11*s**4 - 18/11*s**2 + 12/11 - 6/11*s + 6/11*s**3 = 0?
-2, -1, 1
Let y(c) be the second derivative of c**5/110 + c**4/66 + 21*c. Factor y(t).
2*t**2*(t + 1)/11
Factor 0 + 0*r - 1/8*r**4 - 1/8*r**3 + 0*r**2.
-r**3*(r + 1)/8
Let w(u) be the third derivative of -u**5/30 - u**4/6 - u**3/3 - 6*u**2. Factor w(n).
-2*(n + 1)**2
Factor 3/2*o - 3/4 - 3/4*o**2.
-3*(o - 1)**2/4
Let b(w) be the first derivative of 2/7*w + 1/28*w**4 - 5 - 2/21*w**3 - 1/14*w**2. Solve b(u) = 0 for u.
-1, 1, 2
Let x(m) be the third derivative of -m**6/240 + m**5/120 + m**4/24 + m**2. Factor x(h).
-h*(h - 2)*(h + 1)/2
Let g(s) be the third derivative of s**8/1344 - s**6/120 + s**5/120 + s**4/32 - s**3/12 - 27*s**2. Determine y so that g(y) = 0.
-2, -1, 1
Let r(v) be the second derivative of 1/15*v**3 + 0*v**2 + 0 + 1/60*v**4 - v - 1/100*v**5. Solve r(d) = 0.
-1, 0, 2
Factor 0 - 1/3*g**5 - 1/3*g**2 + 0*g + 1/3*g**4 + 1/3*g**3.
-g**2*(g - 1)**2*(g + 1)/3
Let m = 36 - 107/3. Determine t so that -m*t**2 + 0 - 1/3*t = 0.
-1, 0
Let x(v) = 14*v + 1. Let w be x(-2). Let c be (w/(-24))/((-3)/(-4)). Suppose -1/2*n**2 + 0 + 1/2*n**5 + c*n**3 - 3/2*n**4 + 0*n = 0. What is n?
0, 1
Let i(r) be the third derivative of r**6/480 - r**5/40 + r**4/8 - r**3/3 - 4*r**2. Factor i(g).
(g - 2)**3/4
Let r(c) = -3*c**3 - 4*c**2 + 3*c. Let b(m) = 9*m**3 + 13*m**2 - 10*m. Let z(n) = -6*b(n) - 21*r(n). Factor z(o).
3*o*(o + 1)*(3*o - 1)
Suppose -o = 3*o + 20, 3*o = -2*n - 1. Suppose 0 = -n*c + 6*c + 3. Factor 5/2*w + 1/2*w**c + 2*w**2 + 1.
(w + 1)**2*(w + 2)/2
Let u = 109/2 + -541/10. Solve -2/5 + u*f**3 + 2/5*f**2 - 2/5*f = 0 for f.
-1, 1
Suppose -4*x + 0*x**3 + 8*x - 4*x**3 = 0. What is x?
-1, 0, 1
Let t(j) be the first derivative of 9*j**6/2 - 9*j**5/5 - 6*j**4 + 4*j**3 + 3. Let t(d) = 0. What is d?
-1, 0, 2/3
Let k(u) = -5*u**2 + 9*u - 4. Let j(i) = -4*i**2 + 8*i - 3. Let q(c) = -6*j(c) + 5*k(c). Find t such that q(t) = 0.
-2, -1
Let a(t) = -2*t + 5. Let n be a(-4). Factor 13*g + 2 + 0*g + 12*g**2 - 3*g**2 - 40*g**3 + 3*g**4 + n*g**4.
(g - 2)*(g - 1)*(4*g + 1)**2
Let b(j) be the first derivative of -j**6/300 - 2*j**5/75 - j**4/15 - 3*j**2/2 - 2. Let w(u) be the second derivative of b(u). Let w(m) = 0. Calculate m.
-2, 0
Factor 3*w**3 + 18*w**2 - 4*w + 15*w + 3*w + 13*w.
3*w*(w + 3)**2
Factor 2/9*w**3 + 2*w**2 + 32/9 + 16/3*w.
2*(w + 1)*(w + 4)**2/9
Factor -4*l**3 + 10*l - l**3 + 0*l**3 - 5*l**2.
-5*l*(l - 1)*(l + 2)
Let l be (1/(-2))/((-13)/78). Factor 8*z - 2*z - 3*z**3 - l*z + 0*z.
-3*z*(z - 1)*(z + 1)
Let x(o) be the second derivative of -3*o - 1/5*o**2 + 1/15*o**4 + 1/15*o**3 + 0 + 1/105*o**7 - 1/75*o**6 - 1/25*o**5. Determine p, given that x(p) = 0.
-1, 1
Suppose 0*a = a. Factor 7*x**3 - 3*x**4 - 3*x**2 + a*x**2 - 3*x**2 + 2*x**3.
-3*x**2*(x - 2)*(x - 1)
Suppose 2*j + 3*j + 3*h - 7 = 0, -5*j = 2*h - 8. Let -2/3*d**j + 1/3 + 1/3*d = 0. What is d?
-1/2, 1
Let f be (20/(-25))/(18/(-10)). Let l = 1/18 + f. Suppose -1/2 - l*j**2 + j = 0. What is j?
1
Suppose 0 = -2*u - v + 8 - 9, 3*u + 3*v = -9. Factor 2/3*b - 1/3*b**u - 1/3.
-(b - 1)**2/3
Suppose 20 - 5/2*z**2 - 5*z = 0. Calculate z.
-4, 2
Let q be 0/((1 - 1) + 2). Let b = 461/380 + -1/76. Determine g, given that 2/5*g**5 + q - b*g**3 + 4/5*g - 2/5*g**4 + 2/5*g**2 = 0.
-1, 0, 1, 2
Let m(h) = -2*h - 1. Let v be m(-14). Let z = v - 79/3. Factor -17/6*x**3 + 4*x**2 + 1/3 - 13/6*x + z*x**4.
(x - 2)*(x - 1)**2*(4*x - 1)/6
Suppose 0 = -2*j - 4 + 10. Factor -3/4*x**2 + 1/2*x + 0 + 1/4*x**j.
x*(x - 2)*(x - 1)/4
Suppose -2*k = -1 - 3. Suppose -2*o - k*t + 3*t = -10, -t = -5*o + 22. Suppose 0*y - 5*y + y**o + 6*y - y**2 - y**3 = 0. Calculate y.
-1, 0, 1
Suppose 0 = 4*u - 9*u + 20, -2*i = -3*u + 20. Let l be (-1 + 2 + -3)/i. Factor 0*v**2 + l*v**5 - v**3 + 0 + 0*v**4 + 1/2*v.
v*(v - 1)**2*(v + 1)**2/2
Let r(t) be the third derivative of 0 - t**3 + 4*t**2 + 3/8*t**4 - 1/20*t**5 + 0*t. Solve r(j) = 0.
1, 2
Find s, given that -19*s**4 + 90*s**3 + 95*s**3 - 16*s**4 - 50*s**2 = 0.
0, 2/7, 5
Let r(u) be the third derivative of 1/18*u**5 + 1/60*u**6 + 0 - 4*u**2 + 0*u**3 - 1/315*u**7 + 0*u - 1/504*u**8 + 1/18*u**4. Factor r(p).
-2*p*(p - 2)*(p + 1)**3/3
Let g(r) = -r**2 - r - 1. Let x(c) = 6*c**2 - 9*c + 15. Let v = 1 + -2. Let n(k) = v*x(k) - 3*g(k). Factor n(f).
-3*(f - 2)**2
Let p(t) = 3*t + 32. Let u be p(-10). Factor 1/2*k**u + 0 + 1/2*k.
k*(k + 1)/2
Let w(t) be the second derivative of 0*t**2 - 1/60*t**5 - 3*t + 1/18*t**3 + 1/36*t**4 + 0 - 1/90*t**6. Factor w(k).
-k*(k - 1)*(k + 1)**2/3
Let 9/2 - 6*b**5 + 15/2*b + 24*b**4 - 33/2*b**2 - 27/2*b**3 = 0. Calculate b.
-1/2, 1, 3
Let h(a) be the third derivative of -a**7/210 + a**5/30 - a**3/6 + a**2 + 2. Factor h(v).
-(v - 1)**2*(v + 1)**2
Factor -9/7*u**2 - 3/7*u**3 + 0 - 6/7*u.
-3*u*(u + 1)*(u + 2)/7
Suppose 0 = t + 2*r - 3 - 0, 0 = -2*t + 4*r + 22. Let z = t + -3. Factor -b**4 + 2*b**3 - 2*b + 1 - b**3 + b**3 + 0*b**z.
-(b - 1)**3*(b + 1)
Factor a + 14*a**2 - 6*a - 5*a**2 - 4*a**2.
5*a*(a - 1)
Find f, given that 3*f**4 + 4*f + 9*f**3 + 28*f**2 + 0*f**4 - 19*f**2 - f = 0.
-1, 0
Suppose 3*n = 2*n + 4. Let x be (15/(-5))/((-18)/n). Factor 0 + 0*t - 2/3*t**2 + x*t**3.
2*t**2*(t - 1)/3
Let o = -76 + 76. What is g in 0*g - 1/3*g**2 - 1/3*g**3 + o = 0?
-1, 0
Let t(k) be the first derivative of -k**6/18 + k**5/15 + k**4/12 - k**3/9 - 13. Factor t(y).
-y**2*(y - 1)**2*(y + 1)/3
Let 48/5*z**3 + 22/5*z**2 + 0 + 2/5*z - 72/5*z**4 = 0. Calculate z.
-1/6, 0, 1
Find s, given that -s**5 + 4*s**5 - 17*s**4 + 14*s**4 = 0.
0, 1
Let h(x) be the first derivative of 0*x + 11 + 4/21*x**3 + 1/14*x**4 + 0*x**2. Factor h(f).
2*f**2*(f + 2)/7
Let n = 55/78 + -8/39. Find r such that 0 + 0*r**2 - 1/2*r + n*r**3 = 0.
-1, 0, 1
Let v = -25 + 29. Factor 0 + 0*q + 1/4*q**v - 1/4*q**2 - 1/4*q**3 + 1/4*q**5.
q**2*(q - 1)*(q + 1)**2/4
Factor -2/5*b**4 + 6/5*b**2 - 8/5 + 4/5*b**3 - 8/5*b.
-2*(b - 2)**2*(b + 1)**2/5
Let m = -6 + 8. Factor 1 - 4*k + 2*k**2 + 3 - 5*k**2 + 4*k**m.
(k - 2)**2
Let j(t) be the first derivative of -3 - 1/9*t**3 + 0*t**2 + 1/3*t. Suppose j(a) = 0. What is a?
-1, 1
Let i(d) be the second derivative of -5*d - 3/10*d**6 + 0 - 3*d**3 - 3*d**4 - 3/2*d**5 - 3/2*d**2. Factor i(t).
-3*(t + 1)**3*(3*t + 1)
Let o(h) be the first derivative of -4*h**3/3 + 6*h**2 - 8*h - 25. Solve o(u) = 0.
1, 2
Let h(q) be the third derivative of q**5/130 + 2*q**4/39 + 4*q**3/39 + 21*q**2. Factor h(d).
2*(d + 2)*(3*d + 2)/13
Let t(s) be the third derivative of s**6/20 - 11*s**5/30 + s**4 - 4*s**3/3 - 13*s**2. Solve t(v) = 0.
2/3, 1, 2
Let f(s) be the third derivative of s**5/40 - s**4/16 - s**3/2 + 8*s**2. Find o, given that f(o) = 0.
-1, 2
Let v be -4 - (-16)/(2 - 0). Let y(k) be the second derivative of 0*k**v + 0 + 3*k + 1/20*k**5 + 0*k**2 - 1/6*k**3. Factor y(f).
f*(f - 1)*(f + 1)
Let i(d) be the third derivative of 7*d**6/120 + 2*d**5/45 - 11*d**4/72 + d**3/9 + d**2. Factor i(m).
(m + 1)*(3*m - 1)*(7*m - 2)/3
Let t(u) be the third derivative of -u**8/112 + 3*u**7/70 - u**6/40 - 3*u**5/20 + u**4/4 - 6*u**2. Let t(i) = 0. Calculate i.
-1, 0, 1, 2
Let x = -52 + 54. Let p(w) be the third derivative of 0 - 3*w**x + 0*w - 1/20*w**5 + 0*w**4 + 1/2*w**3. Factor p(y).
-3*(y - 1)*(y + 1)
Solve 4/7*f**2 + 0*f + 0*f**4 + 2/7*f**5 - 6/7*f**3 + 0 = 0 fo