*2 - j*s = 0.
-2, 1
Let p(w) be the third derivative of w**8/168 + w**7/105 - w**6/60 - w**5/30 - 88*w**2. Factor p(g).
2*g**2*(g - 1)*(g + 1)**2
Let w = 55 + -61. Let l be (w/52)/((-21)/28). Suppose 2/13*s**3 - 2/13*s + 0 - 2/13*s**4 + l*s**2 = 0. Calculate s.
-1, 0, 1
Suppose -4 = -2*p + 28. Let 36*w**4 + 9*w**2 + w**3 + p*w**3 - 45*w**3 - w - 16*w**5 = 0. What is w?
0, 1/4, 1/2, 1
Let u be (-2 + (-1826)/20)*3/18. Let d = u + 79/5. Factor 1/2 + 1/4*c**4 - 3/4*c**2 - 1/4*c**3 + d*c.
(c - 2)*(c - 1)*(c + 1)**2/4
Suppose 2*h - 37 + 7 = 4*r, r + 9 = h. Let b = 306/5 + -60. Solve -6/5*i**h + 3/5*i**4 + 3/5*i**5 + 3/5*i + 3/5 - b*i**2 = 0 for i.
-1, 1
Let q(j) = -j**3 - 2*j**2 - 14*j - 7. Let a(s) = s**2 + 12*s + 6. Let f(b) = 3*a(b) + 2*q(b). Factor f(p).
-(p - 2)*(p + 2)*(2*p + 1)
Let l(x) = -5*x**3 + x**2 - 3*x + 3. Let m be 0 + (2/3)/((-6)/9). Let z(p) = -p**3 + p**2 + 1. Let b(y) = m*l(y) + 4*z(y). Factor b(i).
(i + 1)**3
Let u(t) = t**3 + 11*t**2 - 25*t + 17. Let z be u(-13). Let i(x) be the third derivative of 0 - 1/60*x**5 + 0*x + 0*x**z - 8*x**2 + 0*x**3. Factor i(a).
-a**2
Let h(t) = 3*t - 2*t**2 + 4*t - 5*t - 8. Let g(y) = -y**2 + 2*y - 7. Let v be (7/2)/(182/156). Let s(j) = v*h(j) - 4*g(j). Factor s(i).
-2*(i - 1)*(i + 2)
Let l(d) = -5*d**5 - 3*d**4 + 5*d**3 + 7*d**2 + 12*d + 8. Let u(w) = -9*w**5 - 6*w**4 + 9*w**3 + 15*w**2 + 24*w + 15. Let c(x) = 7*l(x) - 4*u(x). Factor c(h).
(h - 2)*(h + 1)**3*(h + 2)
Let j(d) be the first derivative of d**6/4 + 2*d**5/5 - d**4 - d**3 + 5*d**2/4 + d - 448. Determine i so that j(i) = 0.
-2, -1, -1/3, 1
Let p be (24123/595 - 41)/(2/(-40)). Factor -p - 1/7*g**2 - 16/7*g.
-(g + 8)**2/7
Find a such that 25/3*a + 1/6*a**2 - 1/6*a**3 + 8 = 0.
-6, -1, 8
Suppose 0 = -4*t + 3*c + 80 - 56, -c = t + 1. Factor 0 + 2/3*l**4 - 2/3*l**2 + 2/3*l**t - 2/3*l.
2*l*(l - 1)*(l + 1)**2/3
Let g be (12/(-66))/((-432)/198). Let m(x) be the third derivative of -1/30*x**5 - g*x**4 + 0 + 6*x**2 + 0*x**3 + 0*x. What is k in m(k) = 0?
-1, 0
Let w be 0 + -1 + 186/180. Let t(b) be the second derivative of -1/15*b**3 + 1/50*b**5 + b + 0 + w*b**4 - 1/5*b**2. Factor t(q).
2*(q - 1)*(q + 1)**2/5
Let f be (-6)/12*-3*-2. Let x(l) = -5*l**2 + 8*l. Let c = 1 + -3. Let w(s) = 6*s**2 - 9*s. Let z(o) = c*w(o) + f*x(o). Solve z(j) = 0 for j.
0, 2
Let b(x) be the third derivative of x**6/240 + x**5/24 + x**4/8 + 104*x**2. Find d such that b(d) = 0.
-3, -2, 0
Let r(f) be the first derivative of -f**6/12 + 3*f**5/10 - 2*f**3/3 + 31. Factor r(o).
-o**2*(o - 2)**2*(o + 1)/2
Let n(s) be the first derivative of 0*s**3 - 1/2*s**4 - 4/5*s**5 + 0*s + 0*s**2 - 1/3*s**6 + 4. Factor n(w).
-2*w**3*(w + 1)**2
Suppose -2*q = 3*b - 20, 4*b = -0*b + 5*q - 4. Let y be 2/(6/b*-1)*-2. Let -8/3 + y*d - 2/3*d**2 = 0. Calculate d.
2
Find k, given that -86*k**2 + 11*k**3 - 99*k - 42 + 3*k**4 + 9*k**3 + 17*k**2 - 29*k**3 = 0.
-2, -1, 7
What is o in -1156/5 - 68/5*o - 1/5*o**2 = 0?
-34
Let w(r) be the third derivative of 0*r - 5/14*r**4 - 33*r**2 - 1/84*r**6 + 8/21*r**3 + 9/70*r**5 + 0. Factor w(k).
-2*(k - 4)*(k - 1)*(5*k - 2)/7
Let l(b) be the third derivative of -b**5/90 - 17*b**4/12 - 464*b**2. Determine f, given that l(f) = 0.
-51, 0
Factor -26/3*j**3 + 1/3*j**4 + 25/3*j**2 + 0*j + 0.
j**2*(j - 25)*(j - 1)/3
Let p(s) be the third derivative of -s**6/96 + s**5/16 + s**2 + 38*s. Suppose p(x) = 0. Calculate x.
0, 3
Let a(w) be the first derivative of -w**4/30 + 34*w**3/15 + 7*w**2 + 106*w/15 - 207. Find l such that a(l) = 0.
-1, 53
Let i(j) be the second derivative of -j**5/20 + j**4/3 - 2*j**3/3 + 3*j. Solve i(p) = 0.
0, 2
Let l = 15611/50778 - -1/3906. Solve 0 - 6/13*g**2 + l*g = 0.
0, 2/3
Let d(f) = -f**3 - 28*f**2 + 86*f + 24. Let i be d(3). Factor 0 - 3/8*h**i + 3/2*h**2 - 9/8*h.
-3*h*(h - 3)*(h - 1)/8
Let g(m) = -18*m**3 + 42*m**2 - 39*m + 9. Let b = 26 + -33. Let s(t) = -t**4 - 36*t**3 + 85*t**2 - 79*t + 17. Let k(u) = b*g(u) + 3*s(u). What is r in k(r) = 0?
1, 2
Suppose 4*w - 64 = -0*w. Let h = w + -18. Let a(i) = -i + 1. Let n(f) = -2*f**2 + 7*f - 7. Let x(t) = h*n(t) - 14*a(t). Find s such that x(s) = 0.
0
Let l = 72/157 + -203/785. Factor 2/5*p**3 - l*p**2 + 0*p - 1/5*p**4 + 0.
-p**2*(p - 1)**2/5
Let w(u) = u**3 - 31*u**2 + 46*u. Let x(i) = -2*i**3 + 32*i**2 - 47*i. Let h(a) = -3*w(a) - 4*x(a). Factor h(n).
5*n*(n - 5)*(n - 2)
Let l(a) = -a**3 + 22*a**2 - 96*a - 292. Let r(x) = x**3 - 22*x**2 + 96*x + 293. Let p(c) = -5*l(c) - 4*r(c). Determine g so that p(g) = 0.
-2, 12
Let h be -12 - -2 - 31/((-5642)/2156). Factor -2/13*g**5 - h*g**2 - 8/13*g - 2*g**3 + 0 - 12/13*g**4.
-2*g*(g + 1)**2*(g + 2)**2/13
Let y be -1 - -2 - (1/8)/(16/64). Factor -1/6*g**4 - y*g**3 + 0 - 1/2*g**2 - 1/6*g.
-g*(g + 1)**3/6
Let t(g) be the first derivative of 0*g - 10/3*g**3 + 2*g**5 + 0*g**4 - 5/2*g**2 - 20 + 5/6*g**6. Find z, given that t(z) = 0.
-1, 0, 1
Let c = 119 + -1061/9. Factor -1/9*b**2 - 25/9 - c*b.
-(b + 5)**2/9
Let b(r) be the first derivative of r**6/3 + 12*r**5/5 + 11*r**4/2 + 4*r**3/3 - 12*r**2 - 16*r + 30. Factor b(z).
2*(z - 1)*(z + 1)*(z + 2)**3
Let 3*y**3 - 15*y**3 - 32*y**2 - 16*y - 51 + 2*y**5 + 51 + 8*y**4 + 2*y**5 = 0. Calculate y.
-2, -1, 0, 2
Let t = -97 - -154. Let j be 110/35 + -3 + t/42. Determine a, given that 3*a - 3/2*a**2 - j = 0.
1
Let s(r) = r**5 - r**3. Let k(x) = -29*x**5 + 20*x**4. Suppose 2*h = 4*h + 5*q - 3, 3*h - 14 = 2*q. Let w(f) = h*s(f) + k(f). Suppose w(y) = 0. Calculate y.
0, 2/5
Let f(p) be the second derivative of -3*p**5/100 - 3*p**4/20 - p**3/5 - 2*p - 4. Factor f(u).
-3*u*(u + 1)*(u + 2)/5
Let k(n) = -82*n**2 + 3 + 81*n**2 - 3 - n. Let z be k(0). Factor 0*r + z + 0*r**2 + 0*r**3 + 1/2*r**4.
r**4/2
Let -8/7 + 2/7*d**2 - 6/7*d = 0. Calculate d.
-1, 4
Let k(l) = -l + 5. Let v = -151 - -153. Let g be k(v). What is n in 0 - 1/5*n**g + 0*n**2 - 1/5*n**4 + 0*n = 0?
-1, 0
Let z(s) = s**2 + 12*s + 6. Let a be z(-4). Let w be a/(-36)*8 - 24/(-108). Find k, given that -w*k + 417/4*k**2 - 3 + 645/4*k**3 - 972*k**5 - 918*k**4 = 0.
-1, -2/9, 1/4
Let x(r) be the third derivative of r**5/30 - 5*r**4/4 - 18*r**3 + 81*r**2 + 3. Solve x(m) = 0 for m.
-3, 18
Determine g so that -28/11*g**2 + 0 - 2/11*g**4 - 18/11*g**3 + 0*g = 0.
-7, -2, 0
Suppose 88/9*m**2 - 92/9*m**3 + 0*m + 0 + 4/9*m**4 = 0. Calculate m.
0, 1, 22
Suppose 2*s = -3*q - 9, 0 = 3*s - 4*s. Let j be 2/(q - -4 - 0). Solve 1 + 2*l**2 - 2 - j*l**4 + l**4 + 0*l**4 = 0 for l.
-1, 1
Let h(r) = 5*r**2 - 39*r + 32. Let k be h(7). Factor -2/5*o + 3/5*o**2 - 4/5*o**k - 1/5 + 4/5*o**3.
-(o - 1)**2*(2*o + 1)**2/5
What is q in -2*q**3 + 7*q - 2*q**3 + 4*q**2 + 4*q - 3*q = 0?
-1, 0, 2
Let b(v) be the second derivative of v**7/315 + v**6/360 - v**5/180 - 7*v**2 + 15*v. Let j(y) be the first derivative of b(y). Factor j(p).
p**2*(p + 1)*(2*p - 1)/3
Let b(d) = -d**3 + 17*d**2 - 62*d + 29. Let h be b(12). Let f be ((-14)/49)/((-8)/14). Solve 0*n**4 + 1/4*n**h - f + 3/4*n - n**3 + 1/2*n**2 = 0.
-2, -1, 1
Let h be 9/(-3)*(-30)/(-9). Let v be (-1)/(2 - h/(-4)). Factor 4*s**2 + v + 9*s + 11*s + 14.
4*(s + 1)*(s + 4)
Suppose 41 = k + 3*n + 2*n, 2*k = 4*n + 12. Let w be (-1)/((-20)/k + 1). Let -2/3*b**3 + 0 - 2/3*b**5 + 0*b**2 - 4/3*b**w + 0*b = 0. Calculate b.
-1, 0
Solve 20*s**2 + 3*s**3 + 2*s**3 - s**3 + 16*s = 0 for s.
-4, -1, 0
Factor 5*h**2 + 19*h**4 + 7*h + 18*h - 25*h**3 + 18*h**4 - 42*h**4.
-5*h*(h - 1)*(h + 1)*(h + 5)
Let n(u) be the third derivative of -u**7/1680 + u**6/240 - u**5/80 + u**4/48 - u**3/48 + 569*u**2. Factor n(f).
-(f - 1)**4/8
Find b, given that -502/9*b**2 - 94/3*b + 2*b**4 - 44/9 - 50/3*b**3 = 0.
-2, -1/3, 11
Let g be -6*(22/(-60))/11. Factor 2/5*q**3 - 3/5*q**4 - 3/5*q + 1/5 + g*q**5 + 2/5*q**2.
(q - 1)**4*(q + 1)/5
Find z such that 9/2*z + 0 + 1/2*z**3 + 5*z**2 = 0.
-9, -1, 0
Let k(w) be the second derivative of w**6/240 + 3*w**5/160 - 3*w**4/32 - 23*w**3/48 - 3*w**2/4 + 42*w. Determine r so that k(r) = 0.
-4, -1, 3
Factor 0 - 5/2*r**3 + 13/2*r**2 - 4*r.
-r*(r - 1)*(5*r - 8)/2
Suppose a = -4, 136 = -4*d - 0*d - 5*a. Let y = d + 29. What is i in 0*i - 2/3*i**4 + 0 + y*i**3 + 2/3*i**2 = 0?
-1, 0, 1
Let m(g) be the second derivative of -9/130*g**5 + 7/195*g**6 + 0*g**2 + 26*g + 5/78*g**4 - 2/273*g**7 + 0 - 1/39*g**3. Determine r so that m(r) = 0.
0, 1/2, 1
Factor -5*s**2 + 5*s + 