 + 2)/4
Let j(i) be the first derivative of 3/2*i**4 - 4/9*i**3 - 14/15*i**5 + 0*i**2 + 0*i - 1. Factor j(g).
-2*g**2*(g - 1)*(7*g - 2)/3
Let n(w) = 5*w**2 - 25*w - 5. Let g(y) = 7*y**2 - 38*y - 8. Let d(k) = -5*g(k) + 8*n(k). Factor d(s).
5*s*(s - 2)
Suppose 0 = -6*b + b + 4*b. Suppose -1/4*s**2 + b + 1/4*s = 0. What is s?
0, 1
Factor 2*h**4 - 2/3 - 4/3*h**2 - 2*h + 4/3*h**3 + 2/3*h**5.
2*(h - 1)*(h + 1)**4/3
Let v(d) = 75*d**3 - 117*d**2 + 33*d + 9. Let g(i) = -19*i**3 + 29*i**2 - 8*i - 2. Let m(r) = 9*g(r) + 2*v(r). Solve m(l) = 0 for l.
0, 2/7, 1
Let y(r) be the second derivative of r**5/10 + 2*r**4/3 + r**3 + 23*r. Find s such that y(s) = 0.
-3, -1, 0
Let i be 0 + -1 - 0 - -1. Suppose -30*m + 43*m - 26 = 0. Solve 0*f**m + 0*f + i - 2/3*f**3 = 0.
0
Let m = -660 + 662. Factor -1 + 1/3*y - 1/3*y**3 + y**m.
-(y - 3)*(y - 1)*(y + 1)/3
Let u(a) be the second derivative of -3*a**5/10 - a**4/2 + 2*a**3/3 - 4*a. Let o(f) = f**3 + f**2 - f. Let c(d) = -4*o(d) - u(d). Factor c(l).
2*l**2*(l + 1)
Let g(f) = f**2 - 5*f - 1. Let s be g(6). Suppose s*r - 55 = 15. Factor -10*b + r*b**2 - 2*b**5 - 10*b**4 - 11*b**3 - 2 - 34*b**2 - 9*b**3.
-2*(b + 1)**5
Let n be 2/8 - 4/(-48). Let t(o) be the first derivative of n*o**3 + 0*o + 2 + o**2. What is w in t(w) = 0?
-2, 0
Let d(o) be the third derivative of 0*o**3 - 1/120*o**6 + 0 - 1/60*o**5 + 1/210*o**7 + 2*o**2 + 0*o + 0*o**4 + 1/336*o**8. Factor d(n).
n**2*(n - 1)*(n + 1)**2
Let w(i) be the second derivative of 0*i**5 + 0*i**4 + 0*i**2 + 0 - 1/50*i**6 + 0*i**3 - 3*i. Factor w(c).
-3*c**4/5
Let g(v) be the first derivative of 3*v**7/490 - v**6/280 - v**5/70 + v**2/2 - 4. Let b(r) be the second derivative of g(r). Solve b(o) = 0 for o.
-2/3, 0, 1
Suppose -6*z + 2*z = 4. Let j be -6*(z + 2)/(-9). Solve -2/3*x + j*x**2 + 0 = 0 for x.
0, 1
Suppose 0 = k - 0 + 2. Let j be 308/495 + k/5. Factor j*u**2 - 4/9*u + 2/9.
2*(u - 1)**2/9
Suppose 3*d**2 - 3*d**2 - 2*d**3 - 2*d**3 + 8*d - 4*d**2 = 0. Calculate d.
-2, 0, 1
Suppose -2*o = -m - o + 5, -2*o = -m + 8. Factor -2/3*b**m + 2/3*b + 4/3.
-2*(b - 2)*(b + 1)/3
Let s(i) be the first derivative of -1/18*i**3 - 1/36*i**4 + 2 + i + 1/3*i**2. Let c(b) be the first derivative of s(b). Find y, given that c(y) = 0.
-2, 1
Determine r, given that -4*r**3 + r**4 + 14*r**3 - 6*r**4 - 9*r**5 + 4*r**5 = 0.
-2, 0, 1
Let -648*f**4 - 744*f - 737*f**2 - 228*f**3 - 2004*f**3 - 54 - 1617*f**2 - 18 = 0. What is f?
-3/2, -2/9
Let c(g) be the third derivative of -g**8/6048 - g**7/3780 - g**5/30 + g**2. Let m(v) be the third derivative of c(v). Determine n, given that m(n) = 0.
-2/5, 0
Let a(m) be the first derivative of m**3 + 3*m**2/2 + 22. Factor a(z).
3*z*(z + 1)
Let m(w) be the first derivative of -w**4/32 + w**3/24 + w**2/16 - w/8 + 6. Solve m(i) = 0 for i.
-1, 1
Suppose -32 = -10*j - 12. Factor 10/9*i**3 + 0 + 0*i - 4/9*i**j.
2*i**2*(5*i - 2)/9
Let z = -10 - -13. Let x be 1/((-3)/(-18)*z). Factor f + 0 - 1/3*f**x.
-f*(f - 3)/3
Let g(w) be the first derivative of 0*w**2 + 1/6*w**4 - 2/15*w**5 - 1 + 0*w + 4/9*w**3. Solve g(d) = 0 for d.
-1, 0, 2
Factor -2*a**4 - 10*a**3 + 2*a**2 + 12*a - 2*a - 3*a**4 + 3*a**2.
-5*a*(a - 1)*(a + 1)*(a + 2)
Suppose 0 = 2*o - o. Let b = -2/167 + 175/668. Solve 1/4*j**3 - b*j**2 + 0*j + o = 0 for j.
0, 1
Suppose -48 = 26*w - 42*w. Let 15/2*p**4 - 9/2*p**w - 3/2*p**5 + 0 - 27/2*p**2 + 0*p = 0. Calculate p.
-1, 0, 3
Let s(q) be the third derivative of q**8/168 - q**7/35 + q**6/20 - q**5/30 - 2*q**2. Let s(z) = 0. Calculate z.
0, 1
Determine x so that -x - 6/5 - 1/5*x**2 = 0.
-3, -2
Let r(c) be the third derivative of -c**6/360 - c**5/60 - c**4/24 - c**3/18 - 8*c**2. Factor r(i).
-(i + 1)**3/3
Suppose -3*z - 4*y - 1 = 4, 0 = -2*z + y + 4. Solve z + 0*q**3 + 4*q**4 + 2*q**3 - 5*q**4 + 2*q - 4*q = 0 for q.
-1, 1
Let n(k) be the first derivative of -4*k**5/5 - 2*k**4 + 4*k**2 + 4*k - 7. Factor n(l).
-4*(l - 1)*(l + 1)**3
Let y(i) be the second derivative of i**8/320 - i**7/168 - i**6/120 - i**4/3 + 8*i. Let v(c) be the third derivative of y(c). Determine q so that v(q) = 0.
-2/7, 0, 1
Let x(a) = 0*a**2 - 6*a + 3*a**3 - 1 + 3*a**3 + a**2. Let r(s) = -3*s**3 + 3*s. Let f(l) = -7*r(l) - 3*x(l). Factor f(i).
3*(i - 1)**2*(i + 1)
Let j(g) be the first derivative of -g**6/30 + 2*g**5/25 - 2*g**3/15 + g**2/10 - 29. Factor j(r).
-r*(r - 1)**3*(r + 1)/5
Find i such that 3/5*i**3 - 3/5*i + 1/5 - 2/5*i**4 + 1/5*i**2 = 0.
-1, 1/2, 1
Let d(c) be the first derivative of -1/15*c**3 + 4 + 4/5*c**2 - 16/5*c. What is v in d(v) = 0?
4
Factor -29*h**2 - 18*h**3 - 24*h**2 - 30*h + 17*h**2 - 3*h**4 - 9.
-3*(h + 1)**3*(h + 3)
Let q be (2/(-3))/(1/(-3)). Suppose -2*v + q = -2. Let 6*r**2 - 3*r - r - 20*r**v = 0. What is r?
-2/7, 0
Suppose 0 = -2*m + 8. Suppose 20*u**2 + m*u**5 - 8*u - 12*u**3 + 12 - 12 - 4*u**4 = 0. Calculate u.
-2, 0, 1
Let s be 5/36 + 0/(-7). Let a(f) be the second derivative of -1/30*f**5 + f - 1/18*f**6 + 0 + 1/9*f**3 + s*f**4 + 0*f**2. Factor a(p).
-p*(p - 1)*(p + 1)*(5*p + 2)/3
Let -4*r**4 - 14*r**2 - 16*r - 4 + 22*r**4 + 8*r**5 + 2*r**4 + 8*r**3 - 2*r**2 = 0. What is r?
-1, -1/2, 1
Factor 9/5*f - 9/5*f**2 - 3/5 + 3/5*f**3.
3*(f - 1)**3/5
Let o be (40/64)/((-3)/(-2) + 1). Determine d, given that -1/4*d + 0 + 0*d**2 + o*d**3 = 0.
-1, 0, 1
Let q(s) be the first derivative of 0*s**2 + 0*s - 1 - 4/3*s**3 - 1/720*s**5 + 1/2160*s**6 + 0*s**4. Let a(f) be the third derivative of q(f). Factor a(o).
o*(o - 1)/6
Let o = -595 - -4174/7. Factor -3/7*h + 6/7 - o*h**2.
-3*(h + 1)*(3*h - 2)/7
Factor 250*q**2 - 12*q**4 + 2 + 15*q - 12*q**3 - 244*q**2 - 3*q**5 + 4.
-3*(q - 1)*(q + 1)**3*(q + 2)
Let v(d) be the third derivative of -d**8/112 + d**7/14 - 9*d**6/40 + 7*d**5/20 - d**4/4 - 8*d**2. Factor v(g).
-3*g*(g - 2)*(g - 1)**3
Let y(q) = q. Let f be y(4). Suppose 7*n = f*n + 6. Let -2*r**n + r**2 + 2*r**3 - 3*r**3 = 0. Calculate r.
-1, 0
Let o(y) be the first derivative of 2/5*y - 4/15*y**6 + 6 - 18/25*y**5 - 1/5*y**4 + 6/5*y**2 + 16/15*y**3. Determine v so that o(v) = 0.
-1, -1/4, 1
Let f(d) = -d**2 + 6*d + 4. Let a be f(6). Factor -1/4*i + 1/4*i**3 + 0 + 1/4*i**2 - 1/4*i**a.
-i*(i - 1)**2*(i + 1)/4
Let l(m) be the third derivative of -m**7/70 - m**6/40 + m**5/10 + 7*m**2. Factor l(i).
-3*i**2*(i - 1)*(i + 2)
Let v(q) = 8*q**2 - q + 3. Let s(o) = 39*o**2 - 6*o + 15. Let c(z) = -5*s(z) + 24*v(z). Find b such that c(b) = 0.
1
Determine j so that 36/7*j**2 - 2/7*j**5 + 6/7*j**3 + 0*j + 0 - 8/7*j**4 = 0.
-3, 0, 2
Factor -26 - 19 - 3*s - s**2 + 45.
-s*(s + 3)
Let i = -9 + 1. Let s be i/(-24) - 1/(-15). Find x, given that 0 - s*x - 2/5*x**2 = 0.
-1, 0
Let a be (-8)/60 - (-92)/15. Determine y, given that 10*y - 7*y**2 + 3*y**2 - a*y = 0.
0, 1
Suppose 0 = 3*r - 1 - 17. Let v be 2/(4/(-6)) + r. Factor 0*q**v + 0*q + 2/5*q**2 - 2/5*q**4 + 0.
-2*q**2*(q - 1)*(q + 1)/5
Let f**2 + f**2 - 3*f**2 + 6*f**2 = 0. What is f?
0
Factor 0 + 0*w - 1/2*w**2.
-w**2/2
Factor -48*a + 72 + 4*a**2 + 35 + 1 + 36.
4*(a - 6)**2
Let u be (-2)/(-8) + (-2)/(-8). Let v(a) be the second derivative of -1/12*a**4 - 1/3*a**3 + 2*a - u*a**2 + 0. Factor v(q).
-(q + 1)**2
Let s(p) = 2*p**4 - 3*p**3 - 5*p**2 + 4*p. Let t(r) = 2*r**4 - 4*r**3 - 6*r**2 + 5*r. Let m(b) = 5*s(b) - 4*t(b). Solve m(i) = 0.
-1, 0, 1/2
Let u(b) be the third derivative of b**8/50400 - b**7/12600 + b**5/60 + 3*b**2. Let n(r) be the third derivative of u(r). Factor n(t).
2*t*(t - 1)/5
Let v = 5 - 1. Determine c so that -4*c**2 - 7*c + 2 + 7*c + 4*c**v - 2*c**4 = 0.
-1, 1
Let x(c) be the third derivative of 1/5*c**6 - 2*c**2 + 0*c**4 - 4/15*c**5 + 0*c**3 - 2/35*c**7 + 0*c + 0 + 1/168*c**8. Factor x(f).
2*f**2*(f - 2)**3
Let m = 17 - 12. Find v, given that 3*v - 3 + 3*v + 2*v**2 + m - 2*v = 0.
-1
Let d(x) = 4*x**2 - 16*x - 13*x**2 + 7*x. Let r(h) = 3*h**2 + 3*h. Let a(u) = -4*d(u) - 11*r(u). Factor a(v).
3*v*(v + 1)
Let z be 3/(((-5)/(-2))/5). Let n = z - 3. Factor -4*f**3 - 8*f**4 - 2*f**2 + 3*f**4 + 0*f**2 + n*f**4.
-2*f**2*(f + 1)**2
Let j(v) be the first derivative of -3/14*v**4 + 3/7*v**2 - 4/21*v**3 + 7 + 4/7*v. Determine o so that j(o) = 0.
-1, -2/3, 1
Let u(z) be the first derivative of -3/2*z**4 + 4/3*z**3 + 0*z**2 - 3 + 0*z. Factor u(f).
-2*f**2*(3*f - 2)
Let t(g) = g**3 - 14*g**2 + 108*g - 220. Let s(f) = -3*f**3 + 43*f**2 - 324*f + 659.