3*(v - 1)*(v + 1)
Solve -b - 4/7*b**2 + 2/7 = 0.
-2, 1/4
Solve 1 + 0 - 1 + 10*p + 5 + 5*p**2 = 0 for p.
-1
Suppose -2*u + 1 = -3*r, r - 3*r - 2*u + 16 = 0. Let g be ((-1 - 0) + -2)*-1. Determine s, given that -2*s**g + s - 2*s**r - 2*s + 5*s**3 = 0.
-1, 0, 1
Let b(u) be the third derivative of -u**10/151200 + u**9/30240 - u**7/2520 + u**6/720 + u**5/30 - u**2. Let g(v) be the third derivative of b(v). Factor g(i).
-(i - 1)**3*(i + 1)
Factor -2/5*y**4 - 2/5 + 4/5*y**2 + 0*y**3 + 0*y.
-2*(y - 1)**2*(y + 1)**2/5
Let x = -494 - -2029/4. Let z = x + -13. Factor 0*s - 1/2*s**2 + 1/4 + 0*s**3 + z*s**4.
(s - 1)**2*(s + 1)**2/4
Find x, given that -106*x**2 + 15*x + 3*x**4 - 7 - 3*x**3 + 97*x**2 + 1 = 0.
-2, 1
Let w(z) = 3*z**3 - 6*z**2 - 10*z - 2. Let x(i) = -2*i**3 + 6*i**2 + 9*i + 2. Let h(s) = -3*w(s) - 4*x(s). Let n be h(-5). Factor 2/5*q**2 + 0 + 0*q - 2/5*q**n.
-2*q**2*(q - 1)/5
Suppose -2*w = w - 69. Let i be w/(-18) - (-15)/10. Let 0*b + 0*b**2 + i*b**3 + 0 = 0. Calculate b.
0
Let o = -15 + 15. Suppose o = a + 2*a. Factor 0*u - 2/5*u**5 + 4/5*u**4 + a + 0*u**2 - 2/5*u**3.
-2*u**3*(u - 1)**2/5
Let t be (7/2 - 3)*6. Suppose 1/2*l**t + 0*l - 1/2*l**2 + 0 = 0. What is l?
0, 1
Determine w, given that -1/2 - 1/2*w + 1/2*w**3 + 1/2*w**2 = 0.
-1, 1
Let b(a) be the third derivative of -a**5/60 + a**4/24 - a**3/6 + 3*a**2. Let h(d) = 6*d**2 - 8*d + 9. Let g(c) = 14*b(c) + 2*h(c). Find k, given that g(k) = 0.
-2, 1
Let z(l) be the third derivative of -l**8/1008 - 2*l**7/105 - 23*l**6/180 - l**5/3 - 25*l**4/72 - 28*l**2. Solve z(k) = 0 for k.
-5, -1, 0
Let v(d) be the first derivative of 2*d**5/5 + d**4 - 2*d**3 - 4*d**2 + 8*d + 23. What is q in v(q) = 0?
-2, 1
Let m(t) be the first derivative of t + 7/18*t**4 + 0*t**2 + 2/9*t**3 - 2. Let p(g) be the first derivative of m(g). Find j such that p(j) = 0.
-2/7, 0
Let o(l) be the second derivative of l**5/60 + l**4/36 - 5*l**3/18 + l**2/2 + 20*l. Solve o(f) = 0.
-3, 1
Let q(x) = x**2 + 6*x - 8. Let s be q(-6). Let r be s/44 - 24/(-11). Find w, given that 2*w**5 - 5*w**5 + 2*w**5 - r*w - w**5 + 4*w**3 = 0.
-1, 0, 1
Suppose -10 - 18 = 4*i - 4*m, -28 = 4*i + 4*m. Let v = -4 - i. Factor 2*h**v - h**5 - 3 + 3 - h.
-h*(h - 1)**2*(h + 1)**2
Let f(r) = r + 1. Let p(v) = 2*v**2 + 8*v + 6. Let i(q) = 4*f(q) - p(q). Find n, given that i(n) = 0.
-1
Solve 3/5*v**3 + 2/5 - 1/5*v**2 - 1/5*v**4 - 3/5*v = 0.
-1, 1, 2
Let u be (-2)/7 + 1440/42. Let r = -135/4 + u. Factor -1/2*o + 1/4 + r*o**2.
(o - 1)**2/4
Factor -9*l + 2*l**2 + 3*l + 0*l + 2*l**2 + 2*l**3.
2*l*(l - 1)*(l + 3)
Factor 117*h**3 + 4*h**2 - 10*h - 11 - 2*h**5 - 105*h**3 + 5 + 2*h**4.
-2*(h - 3)*(h - 1)*(h + 1)**3
Let r = 106 + -100. Let q(c) be the second derivative of -10*c**3 + 0 + 23/4*c**4 + r*c**2 - c - 21/20*c**5. Factor q(p).
-3*(p - 2)*(p - 1)*(7*p - 2)
Let n(u) = -u**2 - 8*u + 24. Let r be n(-10). Let x(k) be the third derivative of 0*k + 2*k**2 - 1/24*k**r - 1/120*k**6 + 1/30*k**5 + 0 + 0*k**3. Factor x(m).
-m*(m - 1)**2
Let n(w) = 12*w**4 - 13*w**2 - 3*w + 1. Let g(p) = -p**4 + p + 1. Let h(d) = 6*g(d) + 2*n(d). Let h(t) = 0. Calculate t.
-1, -2/3, 2/3, 1
Let m(l) be the third derivative of -l**6/40 + l**5/10 - l**4/8 - 3*l**2. Factor m(g).
-3*g*(g - 1)**2
Suppose 28*d = 130 + 10. Determine i so that -2*i**2 - 2*i**4 - 3*i**3 - 1/2*i + 0 - 1/2*i**d = 0.
-1, 0
Let q(z) be the second derivative of -3*z**5/100 + 7*z**4/20 - 8*z**3/5 + 18*z**2/5 + 21*z. Let q(t) = 0. What is t?
2, 3
Determine f, given that -1/4*f**3 - 5/4*f - 3/2*f**2 + 0 = 0.
-5, -1, 0
Factor -1 + 1/2*v**2 - 1/2*v.
(v - 2)*(v + 1)/2
Let c be 4 - (-2)/(-4)*-10. Suppose c*r + 0 - 27 = 0. Factor 26/7*a**r + 18/7*a**5 + 40/7*a**4 + 0 + 4/7*a**2 + 0*a.
2*a**2*(a + 1)**2*(9*a + 2)/7
Let d(o) = o + 4. Let w be d(0). Factor -21*f**2 + 4*f + 2*f**3 + 17*f**2 - w*f.
2*f**2*(f - 2)
Let x be (105/27)/(-5) + 1. Suppose -4/9*f**2 - x*f + 0 - 2/9*f**3 = 0. Calculate f.
-1, 0
Let q(r) = 4*r**2 + 8*r + 2. Let u(v) = 4*v**2 + 8*v + 1. Let s(b) = 3*q(b) - 2*u(b). Factor s(n).
4*(n + 1)**2
Solve -1/3*d + 1/6 + 1/6*d**2 = 0.
1
Let t(i) = i**2 - 1. Let d be t(-2). Let q(l) be the third derivative of 0*l + 0 - 2/3*l**3 - 1/60*l**5 + 1/6*l**4 + d*l**2. Factor q(y).
-(y - 2)**2
Let k be (-5)/2*(-2 + 0). Let x(p) be the third derivative of -p**2 + 0 - 2/15*p**3 + 0*p + 1/30*p**4 - 1/300*p**k. Find b, given that x(b) = 0.
2
Let i = 8 - 5. Let 2*r**2 - i*r**2 + 2*r**2 - 9*r**4 + 3*r**3 + 5*r**2 = 0. What is r?
-2/3, 0, 1
Factor 4*z**3 - 2*z**2 + 6 - 6*z**2 + 2 - 4*z.
4*(z - 2)*(z - 1)*(z + 1)
Let c(h) be the third derivative of 3*h**5/10 + 11*h**4/12 + 2*h**3/3 + 7*h**2. Determine n, given that c(n) = 0.
-1, -2/9
Suppose 0*r = -3*r + 15. Let w(j) = -4 + 3*j**2 - 4*j**2 + 4 + 2*j**3 - 8*j - r*j**4. Let u(z) = -z**2 - z. Let l(f) = 6*u(f) - w(f). Factor l(c).
c*(c - 1)*(c + 1)*(5*c - 2)
Let x(m) be the third derivative of -m**9/5040 + m**7/420 - m**5/40 - m**4/24 - 2*m**2. Let l(b) be the second derivative of x(b). Factor l(p).
-3*(p - 1)**2*(p + 1)**2
Let t(r) be the second derivative of 0*r**2 + 0*r**3 + 5*r + 1/6*r**4 + 0. Factor t(i).
2*i**2
Let x be 3*((-959)/(-189) - 5). What is c in -2/9*c**4 + 2/9*c - x + 4/9*c**2 - 4/9*c**3 + 2/9*c**5 = 0?
-1, 1
Factor 3/4 + 15/2*s**2 - 19/4*s - 2*s**3.
-(s - 3)*(2*s - 1)*(4*s - 1)/4
Let h(i) = -2*i**3 + 10*i**2 - 4*i - 10. Let q(z) = -2*z**3 + 10*z**2 - 4*z - 11. Let y(d) = -5*h(d) + 6*q(d). Suppose y(t) = 0. Calculate t.
-1, 2, 4
Let z(w) = 51*w**3 + 21*w**2 - 90*w + 81. Let r(m) = 5*m**3 + 2*m**2 - 9*m + 8. Let g(t) = 21*r(t) - 2*z(t). Let g(i) = 0. What is i?
-2, 1
Let w(g) be the first derivative of g**4/2 + 4*g**3/3 - 15*g**2/2 + 9*g - 2. Let l(j) = j**3 + 2*j**2 - 7*j + 4. Let z(s) = -13*l(s) + 6*w(s). Factor z(t).
-(t - 1)*(t + 1)*(t + 2)
Let y be (6/(-21))/(1/(-7)). Factor 1/4*k**3 - k - y + 1/2*k**2.
(k - 2)*(k + 2)**2/4
Suppose -6*a + 5*a = 0. Factor -i**3 + a - 5*i**2 + 4 + 3*i**2 - i**2.
-(i - 1)*(i + 2)**2
Let o be 4/(32/(-20)) + 3. Suppose -3/2*h**2 + h + 0 + o*h**3 = 0. Calculate h.
0, 1, 2
Determine c so that 0 - 18/5*c**3 - 4/5*c**2 + 0*c = 0.
-2/9, 0
Let v(z) be the second derivative of -3*z**7/28 + 2*z**6/5 + 9*z**5/40 - 3*z**4/2 - z**3 - 10*z. Let v(u) = 0. Calculate u.
-1, -1/3, 0, 2
Let i(u) be the third derivative of -u**8/112 - u**7/42 - u**6/60 - 12*u**2. Factor i(q).
-q**3*(q + 1)*(3*q + 2)
Suppose 4*y = -5*d + 38, 2*y + 10 = -5*d + 34. Factor -20*g**4 + y*g**3 - 4 - 26*g**2 + 33*g**3 + 4*g**5 - 14*g**2 + 20*g.
4*(g - 1)**5
Let v(u) = -6*u**3 - u**2 + u + 1. Let x be v(-1). Suppose 2*w - 2 = -k + x*w, 5*k + 5*w - 10 = 0. Factor k*l + 2*l**2 + 1/2*l**3 + 0.
l*(l + 2)**2/2
Let q(d) be the third derivative of 2*d**7/35 - d**6/30 - d**5/5 + d**4/6 + 15*d**2. Factor q(r).
4*r*(r - 1)*(r + 1)*(3*r - 1)
Let l = -4 - -3. Let x(g) = 2*g**2 - g + 3. Let y(z) = -z**2 + z - 1. Let d(o) = l*x(o) - 3*y(o). Factor d(v).
v*(v - 2)
Let q(m) be the second derivative of -m**8/5040 + m**7/840 - m**6/540 + 5*m**3/3 + 8*m. Let a(b) be the second derivative of q(b). Let a(i) = 0. Calculate i.
0, 1, 2
Let x(w) = 2*w**3 - 3*w**2 + 4*w + 5. Let h(a) = a**3 - 3*a**2 + 3*a + 4. Let l(n) = 4*h(n) - 3*x(n). Factor l(b).
-(b + 1)**2*(2*b - 1)
Suppose -6*g = -5*g - 3. Suppose -4*i - c + 10 = 0, -2*i - g*c + 12 = i. Solve 1/5*o**i + 0 + 1/5*o = 0.
-1, 0
Let a(r) be the second derivative of r**7/63 - r**6/90 - 4*r. Find d such that a(d) = 0.
0, 1/2
Suppose -88*k = -87*k - 4. Solve 0 + 3/4*o**5 + 9/4*o**3 - 3/4*o**2 + 0*o - 9/4*o**k = 0.
0, 1
Let q(t) be the second derivative of t**6/15 + t**5/10 - t**4/2 - 5*t**3/3 - 2*t**2 - 3*t. Suppose q(i) = 0. What is i?
-1, 2
Suppose 0 = -4*s + 2*s. Let k be s/(0/(-3) + 1). Factor 4*o**3 - 3*o**2 + k + 2/3*o - 5/3*o**4.
-o*(o - 1)**2*(5*o - 2)/3
Let a be ((-40)/210)/((-2)/7). Find o, given that 0*o + 2/3 + 0*o**3 - 4/3*o**2 + a*o**4 = 0.
-1, 1
Let l(s) be the third derivative of -s**7/735 + s**6/420 + s**5/210 - s**4/84 + 5*s**2. Factor l(n).
-2*n*(n - 1)**2*(n + 1)/7
Suppose g - 2*n - 8 = 0, 5*n + 18 = 3*g + 2*n. Factor 0*k + 2/3*k**5 + 2/3*k**g + 0*k**2 + 0*k**3 + 0.
2*k**4*(k + 1)/3
Let o(v) be the second derivative of -v**5/70 + v**4/21 - 7*v. Factor o(j).
-2*j**2*(j - 2)/7
Let q(j) be the first derivative of -9*j + 4 - 3*j**2 - 1/3*j**