- 3*a**2 - 3589 = 0. 
40
Determine s so that 243*s**5 - 13 - 987*s**3 + 61*s**4 - 1974*s**2 - 59 + 533*s**4 - 708*s = 0. 
-3, -1, -2/9, 2
Suppose 4*r - 125 = 31.  Suppose 5*s - 16 + r = -z, -z + 3*s = -17.  Find v, given that 6*v**z + 7*v**3 + 7*v**4 - 4*v**4 - 3*v**2 - 13*v**3 = 0. 
0, 1
What is j in 64/5 + 1/5*j**2 - 34/5*j = 0? 
2, 32
Let v(y) = -31*y - 556.  Let m be v(-18).  Solve -2/11*a**4 + 0 + 6/11*a**3 + 2/11*a - 6/11*a**m = 0 for a.
0, 1
Suppose 2*b - 5*d + 32 = 0, -98 = 5*b - 5*d + 12.  Let z be 8 - -1 - 5 - b/(-8).  Factor 3/4*o**2 + z - 3/2*o. 
3*(o - 1)**2/4
Let w be 68/17 - (6/2 - -1).  Let s(p) be the second derivative of w + 2/11*p**2 + 1/55*p**5 - 5/33*p**3 + p + 1/66*p**4.  Factor s(h). 
2*(h - 1)*(h + 2)*(2*h - 1)/11
Let t(s) be the first derivative of -1/2*s**3 + 3/20*s**5 + 2 + 5*s + 0*s**2 + 0*s**4.  Let y(b) be the first derivative of t(b).  Solve y(d) = 0. 
-1, 0, 1
Let x(a) be the third derivative of -a**9/5040 + a**8/2240 + a**7/840 - a**6/240 - a**4/4 - 11*a**2.  Let q(p) be the second derivative of x(p).  Factor q(m). 
-3*m*(m - 1)**2*(m + 1)
Let u be (-4)/(1 - (-9)/(-6)).  Suppose -2*b + u = -0*b.  Factor -6*g**4 + g + 0*g - g**3 + g**2 + 0*g**b + 5*g**4. 
-g*(g - 1)*(g + 1)**2
Let d = 13 + -9.  What is y in -y**3 + 8*y**3 + d*y**3 + y**2 + y - 1 - 12*y**3 = 0? 
-1, 1
Let 3*b**2 + 24*b + 36*b - 312 - 31*b + 37*b = 0.  Calculate b.
-26, 4
Suppose -2*s - 2*d - 4 = 0, -d = -3*d - 4.  Let c(j) be the first derivative of s*j**4 + 0*j**2 + 2 - 7/2*j**6 + 0*j + 0*j**3 - 6/5*j**5.  Factor c(x). 
-3*x**4*(7*x + 2)
Let x(q) = -27*q**2 - 40*q - 30.  Let a(n) = 9*n**2 + 13*n + 10.  Let w(m) = 17*a(m) + 6*x(m).  Factor w(p). 
-(p + 1)*(9*p + 10)
Let h(k) be the second derivative of -11*k**7/378 + 2*k**6/27 + k**5/45 - 3*k - 20.  Factor h(r). 
-r**3*(r - 2)*(11*r + 2)/9
Factor 0 - 2/15*l + 8/15*l**3 - 2/5*l**2. 
2*l*(l - 1)*(4*l + 1)/15
Let o(x) be the second derivative of 0*x**3 + 5/2*x**2 + 2/105*x**5 + 0 + 9*x - 1/210*x**6 - 1/42*x**4.  Let g(f) be the first derivative of o(f).  Factor g(i). 
-4*i*(i - 1)**2/7
Let f(w) = -7*w + 133.  Let v be f(19).  Let p be (6 + v)*-7*10/(-105).  Find g such that -2/15 + 6/5*g**p + 4/5*g**3 - 16/15*g**2 - 4/5*g = 0. 
-1, -1/3, 1
Let s(b) be the second derivative of b**4/138 + 14*b**3/23 + 441*b**2/23 - 140*b + 2.  Suppose s(h) = 0.  Calculate h.
-21
Let z(x) = -15*x**2 + 420*x - 410.  Let a(s) = -22*s**2 + 629*s - 614.  Let u(y) = 5*a(y) - 7*z(y).  Suppose u(k) = 0.  Calculate k.
1, 40
Let z(p) = p**3 + p**2 + 1.  Let g(t) = -16*t**3 - 30*t**2 - 24*t - 20.  Let x(m) = -g(m) - 12*z(m).  Factor x(h). 
2*(h + 2)**2*(2*h + 1)
Let o(w) = w**2 + 4*w + 5.  Let v be o(-3).  Factor -12 - f + 4*f**v - 3*f + f - 5*f. 
4*(f - 3)*(f + 1)
Factor 7*r**3 + 120*r**2 - 155*r**3 + 6523*r + 54*r**4 - 54 + 15*r**5 - 50*r**3 - 6460*r. 
3*(r - 1)**3*(r + 6)*(5*r + 3)
Suppose 0*f - 1 = -f.  Suppose f = s - 1.  Solve -3*y**3 + 190*y + 3*y**s - 190*y = 0 for y.
0, 1
Let a be (27/(-9))/((-3)/5).  Suppose a*c - 12 = c. Suppose 1/2*z**c - 1/2*z + 0 + 0*z**2 = 0.  Calculate z.
-1, 0, 1
Determine c, given that -100*c**2 + 31*c**2 - 10*c**3 - 66*c**2 - 360*c - 64*c**2 + 4*c**2 + 5*c**4 = 0. 
-3, 0, 8
Let h(p) = -p**2 + 24*p + 10.  Let j(a) = -2*a**2 + 3*a.  Let u(y) = -h(y) + 3*j(y).  Find i, given that u(i) = 0. 
-2, -1
Factor 2785 - 11*o**2 + 80*o + 31*o**2 - 2785 - 5*o**4 - 20*o**3. 
-5*o*(o - 2)*(o + 2)*(o + 4)
Suppose 12 = -3*f, 0 = -j + 3*j - 2*f - 16.  Factor -2*o**4 + 0*o**3 + 3*o + 3*o**j - 3*o**3 - 4*o**4 + 3*o**2. 
-3*o*(o - 1)*(o + 1)**2
Let h be 1*-9*60/(-108).  Let z(r) be the first derivative of -3 + 2*r**6 + 9/2*r**4 + 27/5*r**h + 0*r**2 + 0*r + r**3.  Factor z(k). 
3*k**2*(k + 1)**2*(4*k + 1)
Determine r, given that 0 + 4*r - 3/4*r**3 + 11/2*r**2 = 0. 
-2/3, 0, 8
Let t(f) be the first derivative of f**4/4 + 4*f**3/3 + f**2/2 - 4*f - 7.  Let m be t(-3).  Find l, given that 0*l + 9*l - 18 - l**m + 2 - l = 0. 
4
Factor -361/7 + 38/7*f - 1/7*f**2. 
-(f - 19)**2/7
Let v be (-28781)/(-119) - (-2)/(-2).  Let m = -240 + v. Factor -15/7*u**3 + 0 - m*u - 3*u**2. 
-3*u*(u + 1)*(5*u + 2)/7
Suppose 126*v**2 + 12 - 99*v**2 + 18*v + 12*v**3 - 9 = 0.  Calculate v.
-1, -1/4
Let u(o) be the second derivative of o**5/50 - 19*o**4/15 + 132*o**3/5 - 648*o**2/5 - 100*o - 1.  What is a in u(a) = 0? 
2, 18
Let j = 185 - 182.  Suppose 3 = -3*f + j*q + 6, 2*q = -3*f + 8.  Suppose -2/3*i**f - 7/3*i + 1/3*i**3 - 4/3 = 0.  Calculate i.
-1, 4
Let p = 9208 + -9184.  What is s in 0*s**3 - 3/2*s**5 + p*s + 0 + 6*s**4 - 24*s**2 = 0? 
-2, 0, 2
Suppose 0 = b + 30 + 11.  Let d = b - -87/2.  Factor -1 + d*x - 3/2*x**2. 
-(x - 1)*(3*x - 2)/2
Let d(s) = -s**3 - 7*s**2 - 2*s - 15.  Let x be d(-7).  Let z be 10/4 + -3 - x. What is r in z*r**3 + 3/2*r**2 + 0*r + 0 = 0? 
-3, 0
Let l be (-2)/11 + (-2295)/(-9900).  Let y(g) be the second derivative of -5*g - 3/100*g**5 + 1/50*g**6 + 0*g**2 - l*g**4 + 1/10*g**3 + 0.  What is p in y(p) = 0? 
-1, 0, 1
Let i(j) be the third derivative of j**7/42 - 25*j**6/6 + 625*j**5/3 + 126*j**2 + 1.  Factor i(k). 
5*k**2*(k - 50)**2
Suppose 65*n - 54*n = -73*n.  Factor 2/9*o**2 + 2/3*o + n.
2*o*(o + 3)/9
Factor -84*y**3 + 48*y**2 + 23*y**4 - 3*y - 10*y**5 + 41*y**4 - 8*y - 8*y**5 + y.
-2*y*(y - 1)**3*(9*y - 5)
Let i be ((114/(-126))/(-19))/(3/(216/4)).  Determine u, given that -8/7*u + 2/7*u**2 + i = 0. 
1, 3
Let b(t) = -40*t**2 - 2132*t + 1076.  Let d(v) = 8*v**2 + 426*v - 215.  Let l(m) = -3*b(m) - 16*d(m).  Factor l(o). 
-4*(o + 53)*(2*o - 1)
Let b(d) be the second derivative of -5*d**7/42 + d**6 - 7*d**5/2 + 20*d**4/3 - 15*d**3/2 + 5*d**2 + d + 8.  What is a in b(a) = 0? 
1, 2
Suppose 0*m = -4*m - 5*b + 57, m - 3*b - 10 = 0.  Suppose 31*i**2 + 20*i**2 - m*i - 3*i**2 - 20*i - 21*i**3 + 6 = 0.  What is i? 
2/7, 1
Let s = -1/807 + -8059/8877.  Let h = s + 112/99.  Factor 0 + h*m + 0*m**2 - 2/9*m**3. 
-2*m*(m - 1)*(m + 1)/9
Let u = -21 - -49.  Let t be 8/u + (-360)/(-14).  Factor -3*j**5 - 6*j**4 - 26*j**2 + t*j**2. 
-3*j**4*(j + 2)
Let u(f) = 9*f**4 - 9*f**3 - f**2 - 17.  Let i(j) = -j**4 + j**3 + 2.  Let v(d) = -51*i(d) - 6*u(d).  Factor v(b). 
-3*b**2*(b - 2)*(b + 1)
Let u(i) be the second derivative of -2/21*i**7 + 2/15*i**6 + 0*i**2 + 1/5*i**5 + 0 + 0*i**3 - 1/3*i**4 - i. Factor u(j). 
-4*j**2*(j - 1)**2*(j + 1)
Let s(t) be the second derivative of -9*t**5/40 + 7*t**4/24 + 5*t**3/3 + t**2 - 3*t - 3.  Solve s(w) = 0 for w.
-1, -2/9, 2
Let g(a) = 6*a**2 - 9*a + 6.  Let x = 25 - 18.  Suppose 2*k + 1 - x = 0.  Let t(u) = 7*u**2 - 8*u + 5.  Let d(h) = k*t(h) - 4*g(h).  Let d(z) = 0.  What is z? 
1, 3
What is n in 6/7*n**3 + 3*n**4 + 0 - 12*n**2 - 24/7*n = 0? 
-2, -2/7, 0, 2
Let l(s) be the first derivative of 0*s**2 - 32 - 3/28*s**4 + 3/7*s**3 + 0*s.  Find a, given that l(a) = 0. 
0, 3
Let g be 12 - ((-3720)/18)/(-20).  Factor 2*k - 1/3*k**2 - g.
-(k - 5)*(k - 1)/3
Factor -21*d**3 - 5*d**2 + 3*d**2 - d**2 - 5 + 22*d**3 - 9*d. 
(d - 5)*(d + 1)**2
Let g(d) be the first derivative of 2/5*d**5 - 14/3*d**3 + 0*d**2 + 3*d**4 - 17 + 0*d.  Let g(t) = 0.  What is t? 
-7, 0, 1
Factor -3/4*m**2 + 45/2 + 87/4*m. 
-3*(m - 30)*(m + 1)/4
Let j = -2356 - -2358.  Let d(o) be the third derivative of 1/168*o**8 + 0*o**3 + 0*o + 2/63*o**7 + 1/45*o**6 + 0*o**4 - 5*o**j + 0 - 4/45*o**5.  Factor d(f). 
2*f**2*(f + 2)**2*(3*f - 2)/3
Factor -16 - 22/3*y - 2/3*y**2. 
-2*(y + 3)*(y + 8)/3
Let d(g) be the third derivative of g**7/5460 + g**6/468 + 2*g**5/195 + g**4/39 + 14*g**3/3 + 16*g**2.  Let u(m) be the first derivative of d(m).  Factor u(b). 
2*(b + 1)*(b + 2)**2/13
Suppose -32 - 1 = -11*n.  Solve -1/3*s**n - 2/3*s + 0 + s**2 = 0 for s.
0, 1, 2
Factor 1404/11 + 414/11*u**2 + 1350/11*u - 2/11*u**4 + 34/11*u**3. 
-2*(u - 26)*(u + 3)**3/11
Let a(i) = -2*i**2 + 6*i - 24.  Let w(d) = -2*d**2 + 7*d - 23.  Let m(g) = 3*a(g) - 4*w(g).  Let l(h) = -h - 1.  Let b(v) = 2*l(v) + m(v).  Let b(q) = 0.  What is q? 
3
Let t = 8 - 2.  Determine x so that 3*x**4 + 6*x - t*x**3 - 6 + 9 - 6*x**4 = 0. 
-1, 1
Let y = 79/123 - -1/41.  Let 2/3*o**3 + 0 + 0*o**2 - y*o = 0.  What is o? 
-1, 0, 1
Factor -2/13*j**5 + 40/13*j**3 + 0 + 0*j - 48/13*j**2 - 4/13*j**4. 
-2*j**2*(j - 2)**2*(j + 6)/13
Suppose -2 = -v - 4*t, -2*v - v - t = 16.  Let p(g) = g**4 - g**2 + g. Let c(u) = 8*u**4 + 10*u**3 + 10*u**2 + 14*u.  Let h(f) = v*p(f) + c(f).  Factor h(k). 
2*k*(k + 1)*(k + 2)**2
Let c be 903/(-1505) + (-141)/510*-6.  Let b = 1197