 Factor b(y).
-(y + 12)*(5*y - 2)/7
Let m = -6269 + 56441/9. Determine u, given that 4/3*u**2 + 4/9*u**3 + m - 4*u = 0.
-5, 1
What is t in -9/4 + 3/2*t**2 + 3*t - 3*t**3 + 3/4*t**4 = 0?
-1, 1, 3
Let d(k) = k**2. Let p(x) = -10*x**2 - x - 2. Let v be 0 + -1 + 387/(-18)*2. Let o(i) = v*d(i) - 4*p(i). Factor o(b).
-4*(b - 2)*(b + 1)
Let g = 1/386 + 1151/2702. Let k = 2 - 2. Factor g*l + k + 3/7*l**2.
3*l*(l + 1)/7
Let s be (18/234)/((-24)/(-26)). Let n(x) be the first derivative of -5 + s*x**3 + 3/4*x - 1/2*x**2. Find g, given that n(g) = 0.
1, 3
Suppose 8*d - 9*d = -360. Let r = d + -6838/19. Factor r*j**2 - 4/19*j - 6/19.
2*(j - 3)*(j + 1)/19
Let h be 6/14 - (-26200)/(-84000). Let d(z) be the second derivative of 0 + h*z**4 + 1/5*z**2 - 5*z + 7/30*z**3 + 1/50*z**5. Let d(r) = 0. What is r?
-2, -1, -1/2
Let w = 1/114 - -335/798. Let 3/7*v**3 - 3/7*v - 3/7*v**2 + w = 0. Calculate v.
-1, 1
Let k(p) = 16*p**3 - 16*p**2 - 10*p + 10. Let d = 82 - 84. Let u(w) = -w**3 + w**2 - w + 1. Let t(h) = d*k(h) + 4*u(h). Factor t(x).
-4*(x - 1)*(3*x - 2)*(3*x + 2)
Let f(x) = 6*x**2 - 28*x - 38. Let w(z) = -26*z**2 + 111*z + 155. Let k(y) = -9*f(y) - 2*w(y). Factor k(p).
-2*(p - 16)*(p + 1)
Let z(r) be the second derivative of 22*r - 1/15*r**4 + 1/25*r**5 - 16/15*r**3 + 0 + 24/5*r**2. Factor z(v).
4*(v - 2)**2*(v + 3)/5
Let g(p) = 77*p**2 + 5 - 77*p**2 + 4*p + 0*p**3 - 4*p**3. Let s(c) = c**3 - c - 1. Let r(w) = g(w) + 5*s(w). Factor r(b).
b*(b - 1)*(b + 1)
Determine j so that 0*j + 0 + 9/2*j**3 + 19/4*j**2 - 1/4*j**4 = 0.
-1, 0, 19
Let a be (-34)/(-14) + 48/(-112). Let d(f) be the third derivative of 0 + 0*f + 0*f**4 - 1/390*f**6 - 1/390*f**5 + a*f**2 + 0*f**3 - 1/1365*f**7. Factor d(c).
-2*c**2*(c + 1)**2/13
Suppose 62 = u + 4. Let n = 12 + -9. Factor 12 + 179*h**n + 27*h - h + 75*h**4 + u*h + 207*h**2 + 31*h**3.
3*(h + 1)**2*(5*h + 2)**2
Let h(t) be the first derivative of 5*t**4/24 - 5*t**3/12 - 5*t**2/2 + 4*t - 6. Let c(s) be the first derivative of h(s). Determine r so that c(r) = 0.
-1, 2
Suppose 8*m - 20 = 4. Factor -17 + 2*a - 6*a**m + 29 + 2*a**3 + 5*a**2 - 15*a**2.
-2*(a - 1)*(a + 2)*(2*a + 3)
Suppose 2*i**4 + 386*i - 386*i - i**4 - 2*i**3 = 0. Calculate i.
0, 2
Let q(a) = 3*a + 5. Let m be q(-10). Let d be (8/(-10))/(10/m). Suppose d*p - p**2 - p**2 + 2 + 0 - 3*p**3 + p**3 = 0. Calculate p.
-1, 1
What is m in 1 + 3/4*m - 3/4*m**3 - m**2 = 0?
-4/3, -1, 1
Let p = 45 + -47. Let k be (0 + p)/((-22)/33). Factor -15*j**4 - 25*j**k - 15/2*j - 1 - 7/2*j**5 - 20*j**2.
-(j + 1)**4*(7*j + 2)/2
Let s(k) be the second derivative of -39*k**5/80 + 5*k**4/3 - 23*k**3/24 - 9*k**2/4 + 46*k + 2. What is f in s(f) = 0?
-1/3, 1, 18/13
Let t(f) be the first derivative of -4/7*f**4 + 0*f - 16 + 0*f**3 + 16/35*f**5 + 0*f**2 - 2/21*f**6. Factor t(x).
-4*x**3*(x - 2)**2/7
Suppose 0 = -3*t - 0*t - 2*q + 11, 0 = -5*t + 5*q + 10. Let h be (-8)/15*t/(12/(-40)). Let -8/3*k - h - 1/3*k**2 = 0. Calculate k.
-4
Let a = -249 - -251. Factor -2/5*c**2 - 12/5 + a*c.
-2*(c - 3)*(c - 2)/5
Let t(v) be the second derivative of v**7/126 - v**6/18 - 2*v**5/15 + v**4/3 - 2*v - 6. Factor t(m).
m**2*(m - 6)*(m - 1)*(m + 2)/3
Let d(o) = -3*o - 30. Let h be d(-11). Suppose -h*p + p = 0. Suppose -2/13*l**4 + p*l + 0 - 6/13*l**2 + 8/13*l**3 = 0. Calculate l.
0, 1, 3
Let f(i) be the first derivative of -7*i**3 - 69*i**2/2 - 18*i + 100. Factor f(d).
-3*(d + 3)*(7*d + 2)
Let s be (7*6/(-105))/(2/(-20)). Suppose 2 = 5*v - 2*z, 4*v = -v - s*z + 26. Factor 0 - 2/3*p - 2/3*p**v.
-2*p*(p + 1)/3
Let s(i) = -109*i**2 + 4*i + 6. Let g(h) = h + 1. Let y(b) = 6*g(b) - s(b). Factor y(p).
p*(109*p + 2)
Let g(s) be the second derivative of 2*s**5/65 + 3*s**4/26 + 2*s**3/39 - 94*s. Factor g(c).
2*c*(c + 2)*(4*c + 1)/13
Let q(g) = g**2 - 7*g - 7. Let h be q(8). Let m(i) = i**2 + 2*i - 2. Let w be m(h). Let w - 51*y**4 - 4*y**2 + 1 + 53*y**4 = 0. What is y?
-1, 1
Factor -1/3*z**3 + 4/3 + 0*z - z**2.
-(z - 1)*(z + 2)**2/3
Let g(p) = -p**4 - p**3 + p**2 - p - 1. Let w(s) = -5*s**5 + 10*s**4 + 55*s**3 + 80*s**2 + 80*s + 20. Let b(t) = -20*g(t) - w(t). Factor b(d).
5*d*(d - 3)*(d + 1)*(d + 2)**2
Let t = 6122 - 6120. Factor 2/5*w**3 - 128/5 - 24/5*w**t + 96/5*w.
2*(w - 4)**3/5
Let j(p) be the second derivative of p**4/4 + 9*p**3/2 + p. What is z in j(z) = 0?
-9, 0
Let v(t) = 2*t**5 + 8*t**4 - 41*t**3 - 41*t**2 + 87*t - 9. Let h(q) = q**5 + 4*q**4 - 20*q**3 - 20*q**2 + 44*q - 4. Let y(c) = -9*h(c) + 4*v(c). Factor y(f).
-f*(f - 2)**2*(f + 2)*(f + 6)
Determine v, given that 2/9*v**3 - 62/9*v - 20/3*v**2 + 0 = 0.
-1, 0, 31
Let y = 19 - 31. Let s = y - -14. Factor a**2 - 1 + s*a**2 - a**4 - 5*a - 3 + 2*a**3 + a.
-(a - 2)**2*(a + 1)**2
Let d(u) be the second derivative of 0*u**3 + 0 - 11*u + 0*u**4 - 1/20*u**5 + 0*u**2 + 1/15*u**6 - 1/56*u**7. Solve d(b) = 0 for b.
0, 2/3, 2
Let q(z) be the second derivative of 3*z**5/100 - 13*z**4/10 - 17*z**3/2 - 87*z**2/5 + 8*z + 19. Factor q(d).
3*(d - 29)*(d + 1)*(d + 2)/5
Let l be 28/4 + (-3 - 0). Suppose 3*d - l*s - 24 = -d, 0 = -4*d + 3*s + 20. Find w such that -8*w**d - 2 + 4*w**2 + 6*w**2 = 0.
-1, 1
Let a be (37/370*0)/(2*(0 - 1)). Factor 6/11*d**3 - 6/11*d**2 + a + 2/11*d - 2/11*d**4.
-2*d*(d - 1)**3/11
Let w(f) be the first derivative of -f**8/1008 + f**6/180 - f**4/72 + 4*f**2 + 11. Let j(c) be the second derivative of w(c). Factor j(n).
-n*(n - 1)**2*(n + 1)**2/3
Suppose 0 = 3*r - 2*r - 8. Solve r*p**3 - 20*p + 13*p**3 + 3*p**4 + 2*p**4 - 15 - p**3 + 10*p**2 = 0 for p.
-3, -1, 1
Let d = 501 + -8515/17. Factor 8/17*o + d*o**2 + 8/17.
2*(o + 2)**2/17
Let h(x) be the second derivative of 2*x**7/21 - 16*x**6/15 + 5*x**5 - 38*x**4/3 + 56*x**3/3 - 16*x**2 - 25*x. Determine k so that h(k) = 0.
1, 2
Factor 7*t**2 + t + t + 2*t**3 - 20*t + 10 - t**2.
2*(t - 1)**2*(t + 5)
Factor -3*s**4 - 2964*s + 2964*s + 45*s**3.
-3*s**3*(s - 15)
Let v(y) be the third derivative of 0*y**4 + 1/1365*y**7 - 1/260*y**6 + 0 + 5*y**2 + 0*y**3 + 1/195*y**5 + 0*y. Factor v(o).
2*o**2*(o - 2)*(o - 1)/13
Let y(n) be the third derivative of -2*n**7/945 - 11*n**6/540 - n**5/15 - n**4/27 + 8*n**3/27 - 5*n**2 - 5*n. Solve y(v) = 0.
-2, 1/2
Suppose 1727*i - 1714*i = 0. What is f in -3/4*f**2 + 3/4*f**4 + 0*f + i + 0*f**3 = 0?
-1, 0, 1
Let p(j) = -j**3 - 11*j**2 + 6*j - 5. Let v(h) = 2*h**3 + 34*h**2 - 20*h + 14. Let y(l) = 14*p(l) + 5*v(l). Find z, given that y(z) = 0.
0, 2
Let o(n) be the third derivative of 0 + 1/30*n**5 - 4/3*n**3 + 0*n**4 + 8*n**2 + 0*n. Factor o(q).
2*(q - 2)*(q + 2)
Let c(i) be the third derivative of i**6/480 + 3*i**5/160 + i**4/16 - 5*i**3/3 + 10*i**2. Let v(o) be the first derivative of c(o). Find t, given that v(t) = 0.
-2, -1
Suppose 16 + 11 = 3*t. Suppose 4*r - t*r + 15 = 0. Determine p, given that -16 + p + p + 4*p**2 + 6*p - 2*p**r = 0.
-2, 2
Let v(c) = -c**5 + 42*c**4 - 189*c**3 - 470*c**2 + 1341*c - 725. Let m(k) = k**5 - k**3 - 2*k**2 - k + 1. Let h(u) = -m(u) + v(u). Determine r so that h(r) = 0.
-3, 1, 11
Let j(u) = 92*u**3 - 7882*u**2 - 4526*u - 652. Let p(r) = 89*r**3 - 7882*r**2 - 4525*r - 654. Let h(s) = 3*j(s) - 2*p(s). What is c in h(c) = 0?
-2/7, 81
Let p(m) = m**3 - 2*m**2 - 8*m - 1. Let g be p(-4). Let w = 67 + g. Factor -6/19*y + 6/19*y**w - 2/19*y**3 + 2/19.
-2*(y - 1)**3/19
Let c(v) = 4*v + 2. Let g(d) = d**2 - 20*d - 11. Let l = 18 - 6. Let i be (l/12)/(1/(-2)). Let y(f) = i*g(f) - 11*c(f). Determine r so that y(r) = 0.
-2, 0
Let h be 18/(-12)*(-1 - -3). Let x be ((-63)/(-84))/(h/(-8)). Let 5*l - 5*l**3 + 0 - 5*l**2 - x + 7 = 0. Calculate l.
-1, 1
Factor 0*r + 0*r**3 + 6/7*r**2 - 3/7 - 3/7*r**4.
-3*(r - 1)**2*(r + 1)**2/7
Let k(l) be the third derivative of 1/36*l**5 + 0*l + 0*l**3 + 5/72*l**4 - 1/72*l**6 - 1/126*l**7 + 0 + 22*l**2. Factor k(h).
-5*h*(h - 1)*(h + 1)**2/3
Let h(d) be the first derivative of 882*d**5/5 - 2688*d**4 + 33776*d**3/3 - 3072*d**2 + 288*d + 31. Find x, given that h(x) = 0.
2/21, 6
Let m(b) be the third derivative of -b**6/180 + b**5/18 + 11*b**4/18 + 16*b**3/9 + 277*b**2 + b. Factor m(l).
-2*(l - 8)*(l + 1)*(l + 2)/3
Let y(k) be the first derivative of 1/2*k**3 - 3/10*k**5 + 3/2*k**2 - 3/4*k**4 + 0*k + 19. Factor y(f).
-3*f*(f - 1)*(f + 1)*(f + 2)/2
Let v be (-6)/(-9) + (-80)/(-15). Let h be (-8)/3*(-3)/v. Find c, given that 0 + 0*c - h*c**2 -