+ w. Factor -v - k**3 - k - 3/2*k**2 - 1/4*k**4.
-(k + 1)**4/4
Let q = -224004292 + 879440855289/3926. Let s = q + -5/302. Factor -8/13 - 10/13*h**2 - s*h - 2/13*h**3.
-2*(h + 1)*(h + 2)**2/13
Let x be 5 + -3 - 28/15. Let j(w) be the first derivative of x*w**3 + 2/25*w**5 - 1 + 0*w + 0*w**2 + 1/5*w**4. Solve j(t) = 0 for t.
-1, 0
Factor 0*v + 2*v**4 + 0 + 1/2*v**2 - 5/2*v**3.
v**2*(v - 1)*(4*v - 1)/2
Let q(f) be the first derivative of -f**5/3 + 5*f**4/2 - 65*f**3/9 + 10*f**2 - 20*f/3 - 25. Factor q(x).
-5*(x - 2)**2*(x - 1)**2/3
Let a(l) = -4*l**2 + 2*l + 6. Let s(k) = 5*k**2 - 2*k - 7. Let v(d) = -6*a(d) - 4*s(d). Determine o, given that v(o) = 0.
-1, 2
Determine x, given that 10/3 + 5*x - 5/3*x**3 + 0*x**2 = 0.
-1, 2
Let a be (17/(-9) - -2)*1*2. Solve -a - 2/9*p**2 + 4/9*p = 0.
1
Let g(i) be the first derivative of -1/6*i**6 + 1/4*i**4 + 0*i + 2 - 1/3*i**3 + 1/5*i**5 + 0*i**2. Factor g(m).
-m**2*(m - 1)**2*(m + 1)
Determine r so that 7*r**5 - 6*r**5 - r**3 + 0*r**4 + r**2 + 3*r**4 - 4*r**4 = 0.
-1, 0, 1
What is h in -6*h**5 + h**5 + 0*h**5 + 2*h**5 + 3*h**3 + 3*h**4 - 3*h**2 = 0?
-1, 0, 1
Let a be (620/55)/(-4) + 3. What is w in a + 2/11*w**2 - 4/11*w = 0?
1
Let m = 4 + 0. Suppose -2*q + 4*r = 16, 18 = m*q + 4*r - 2*r. Factor 1/2 - 1/2*w**3 + 3/2*w**q - 3/2*w.
-(w - 1)**3/2
Let f(a) = a + 13. Let n be f(-11). Let -53*s**n + 4*s + 51*s**2 - 6*s = 0. What is s?
-1, 0
Let j(c) be the second derivative of c**6/6 + c**5 - 5*c**4/12 - 10*c**3/3 - 6*c. Determine o so that j(o) = 0.
-4, -1, 0, 1
Let q = -21 - -37. Suppose 3*b + b - 40 = 0. Let -b*y**3 - 4*y**4 - 2*y**5 + 4*y**2 + 0*y**2 - 4*y**3 + q*y**5 = 0. What is y?
-1, 0, 2/7, 1
Let -8 + 4*h**4 - 21*h + 382*h**3 + 9*h - 370*h**3 + 4*h**2 = 0. What is h?
-2, -1, 1
Let w be ((-2)/(-6))/(10/60). Let o = 5 - 3. Factor 3*u + 0*u**w - o*u + 3*u**2.
u*(3*u + 1)
Suppose -25*w = -28*w + 9. Let l(g) be the second derivative of 7/36*g**4 - 1/12*g**5 + 0 + 0*g**2 - 2*g - 1/9*g**w. Factor l(u).
-u*(u - 1)*(5*u - 2)/3
Solve -2/3*n**3 + 2/3*n + 2/3*n**4 + 4/3 - 2*n**2 = 0.
-1, 1, 2
Let v be 4/6 + 28/12. Suppose -9*s**3 + 11*s**3 + v*s + s - 6*s**2 = 0. Calculate s.
0, 1, 2
Suppose f + 5*o - 15 = 0, -3*f + o - 5*o + 12 = 0. Let n(h) be the second derivative of 1/10*h**5 + 0*h**3 - h + 0*h**2 - 1/6*h**4 + f. Factor n(y).
2*y**2*(y - 1)
Let k be 1/(-3*(-3)/90). Solve k*u**4 - 5*u**2 + 16*u**3 - 3*u**2 + 0*u**2 = 0.
-2, 0, 2/5
Let 3/5*y**3 - 3/5*y**4 + 0 + 0*y**2 + 0*y = 0. Calculate y.
0, 1
Let q(f) = 23*f**2 - 36*f + 8. Let w(o) be the first derivative of -35*o**3/3 + 27*o**2 - 12*o - 1. Let r(x) = -7*q(x) - 5*w(x). Factor r(n).
2*(n - 1)*(7*n - 2)
Suppose g + 14 = 4*c, 0 = -4*g + 5*c - 7 - 5. Solve -4*f**5 + f**3 - g*f + 5*f**3 - 2*f**4 + 0*f**3 + 2*f**2 = 0 for f.
-1, 0, 1/2, 1
What is n in -4/5 + 24/5*n**2 - 18*n**3 + 14/5*n = 0?
-2/5, 1/3
Let s = 4 + -5. Let r be s/(-5) - 42/(-40). Factor -r*o**2 + 1 + 2*o.
-(o - 2)*(5*o + 2)/4
What is g in -3*g - 3*g**5 + 0 + 27/4*g**2 + 39/2*g**3 + 27/4*g**4 = 0?
-1, 0, 1/4, 4
Factor 65/4 - 5/4*g**2 - 15*g.
-5*(g - 1)*(g + 13)/4
Suppose 0 = y - 4*d + 36, 2*y - 4*d + 2*d = -78. Let a be (-8)/y*(-10)/(-6). Find w such that 0*w + a*w**2 - 1/3 = 0.
-1, 1
Suppose 2*d - 4*d + 4 = 0. Factor -5*q - q**2 + 3*q + 2*q**d + 4 - 3.
(q - 1)**2
Let h be 2/(-5) + 90/(-25). Let n be (10/h)/((-1)/(-2)). Let a(c) = -c**2 - c + 6. Let p(q) = -q**2 - q + 7. Let y(t) = n*a(t) + 4*p(t). Factor y(f).
(f - 1)*(f + 2)
Suppose 0 = 2*m + n - 0 - 9, 3*m + 4*n = 16. Suppose 0 = -m*a + 4, 2*t + 2*a - 2 = 6*t. Factor 0*x - 2/9*x**2 + t + 2/9*x**3.
2*x**2*(x - 1)/9
Suppose 0 = -r - 11*r + 36. Factor -2/5*g**r + 0*g**2 + 1/5*g**5 + 0 + 1/5*g**4 + 0*g.
g**3*(g - 1)*(g + 2)/5
Let z be (-3)/(-8)*76/57. Factor -1/2*o + 0 - z*o**2.
-o*(o + 1)/2
Let y(g) = 2*g**2 + 1. Let u be y(-1). Factor -38*r**u - 7*r**3 - 27*r**4 - 12*r**2 + 9*r**3.
-3*r**2*(3*r + 2)**2
Let z(x) be the first derivative of 2*x**5/15 + 5*x**4/6 + 16*x**3/9 + 4*x**2/3 - 3. Factor z(o).
2*o*(o + 1)*(o + 2)**2/3
Factor 0*d + 5/4*d**3 + 0*d**2 + 0 - 5/4*d**5 + 0*d**4.
-5*d**3*(d - 1)*(d + 1)/4
Suppose 0 = 2*j + 3*j - 15. Let v(g) = -g**2 + 4*g - 3. Let p be v(j). Determine d so that -1/3 + 1/3*d**2 + p*d = 0.
-1, 1
Factor -4/3*r**2 - 2/3*r + 2/3 + 2/3*r**4 + 4/3*r**3 - 2/3*r**5.
-2*(r - 1)**3*(r + 1)**2/3
Let i(w) be the first derivative of -w**4/12 + w**3/3 + 6*w - 9. Let y(r) be the first derivative of i(r). Factor y(b).
-b*(b - 2)
Let i be (24/64)/(-1) - 261/(-56). Find r such that -4/7*r + 0 + 38/7*r**4 + 2/7*r**2 + 2*r**5 + i*r**3 = 0.
-1, 0, 2/7
Let s(g) be the second derivative of 2*g**6/45 + 2*g**5/15 - g**4/12 - 7*g**3/18 - g**2/3 + 7*g. Factor s(r).
(r - 1)*(r + 2)*(2*r + 1)**2/3
Let y(t) be the third derivative of -t**5/75 - t**4/15 - 4*t**2. Find p, given that y(p) = 0.
-2, 0
Let r(m) = m**2 + 8*m - 5. Let w(l) = -6*l**2 - 40*l + 24. Let s(p) = 16*r(p) + 3*w(p). Factor s(z).
-2*(z - 2)**2
Let s(j) be the first derivative of j**6/24 - j**4/8 + j**2/8 - 1. Factor s(g).
g*(g - 1)**2*(g + 1)**2/4
Let g = -219/4 - -55. Let u = -1 - -1. Factor u*n + 1/4*n**2 - g.
(n - 1)*(n + 1)/4
Let o be -3*(0 + -1) + -1. Let z = 13 + -37/3. Factor z*h**3 + 16/3*h - 8/3 - 10/3*h**o.
2*(h - 2)**2*(h - 1)/3
Let 2/5*a**4 + 0*a + 0 + 8/5*a**3 + 6/5*a**2 = 0. What is a?
-3, -1, 0
Let p be 4036/1344 + (-4 - -1). Let z(j) be the third derivative of 1/24*j**4 + 0*j**6 + 0*j**3 + j**2 - 1/30*j**5 - p*j**8 + 1/105*j**7 + 0 + 0*j. Factor z(q).
-q*(q - 1)**3*(q + 1)
Let o(a) be the third derivative of -a**5/150 - a**4/20 - 2*a**3/15 - 27*a**2. Determine t so that o(t) = 0.
-2, -1
Factor c**2 + 0 + 0*c + 1/2*c**3.
c**2*(c + 2)/2
Let p(m) be the third derivative of -m**7/42 + m**6/24 + m**5/12 - 5*m**4/24 + 10*m**2. Suppose p(c) = 0. Calculate c.
-1, 0, 1
Let s(q) be the first derivative of -12/7*q**2 - 12/7*q + 15/28*q**4 + q**3 + 3. Factor s(o).
3*(o - 1)*(o + 2)*(5*o + 2)/7
Suppose -7*d + 85 = -2*d - 3*o, -5*o = 0. Solve -m**2 + m + d - 17 = 0 for m.
0, 1
Let r(u) = -6*u**2 + 5*u - 1. Let z(h) be the first derivative of 2*h**3 - 2*h**2 + h - 4. Let k(v) = -3*r(v) - 2*z(v). Factor k(t).
(t - 1)*(6*t - 1)
Suppose 2*a - 2*c - 19 = a, 3*c = -15. Let m(b) = 3*b**3 + 3 - 8*b**3 + 6 + 5*b. Let n(w) = w**3 - w - 2. Let k(h) = a*n(h) + 2*m(h). Factor k(r).
-r*(r - 1)*(r + 1)
Let k(f) be the first derivative of -288*f**6 - 1296*f**5/5 + 153*f**4 + 197*f**3/3 + 35*f**2/4 + f/2 - 49. Find t such that k(t) = 0.
-1, -1/12, 1/2
Let o(k) be the first derivative of -2*k**3/27 - k**2/3 + 61. Determine v, given that o(v) = 0.
-3, 0
Let u(g) = 5*g**5 - 7*g**4 + 8*g**3 - 6*g - 6. Let n(b) = 4*b**5 - 6*b**4 + 7*b**3 - 5*b - 5. Let p(h) = 6*n(h) - 5*u(h). Factor p(l).
-l**3*(l - 1)*(l + 2)
Let s(z) be the third derivative of -z**6/120 + z**4/8 + z**3/3 + 4*z**2. Factor s(r).
-(r - 2)*(r + 1)**2
Let q(m) = 99*m**2 + m. Let n be q(-1). Let g be (-2)/3*(-42)/n. Factor 0 - 2/7*s**2 - g*s**3 + 0*s.
-2*s**2*(s + 1)/7
Find s, given that 6*s**3 + 4*s**2 - 8*s**3 - 6*s - 12*s**2 = 0.
-3, -1, 0
Let h be (0/(-3))/(9 - 7). Let t(u) be the first derivative of 0*u**2 + h*u - 1 + 1/2*u**4 - 2/3*u**3. Factor t(j).
2*j**2*(j - 1)
Let b(x) be the second derivative of -x**5/30 - 11*x**4/18 - 35*x**3/9 - 25*x**2/3 - 35*x. Let b(k) = 0. What is k?
-5, -1
Let q = 52 + -311/6. Let w(v) be the second derivative of 0*v**2 - q*v**4 - 2*v + 1/3*v**3 + 0. Factor w(s).
-2*s*(s - 1)
Let y(x) = -2*x**3 + 60*x**2 + x - 30. Let z be y(30). Factor -8/3*d + z - 20/3*d**2.
-4*d*(5*d + 2)/3
Let i(s) be the second derivative of 98*s**6/15 - 14*s**5 - s**4 + 40*s**3/3 + 8*s**2 + 6*s. What is l in i(l) = 0?
-2/7, 1
Let i(k) be the second derivative of -k**8/20160 + k**7/2520 - k**5/90 + k**4/4 + k. Let t(w) be the third derivative of i(w). Factor t(f).
-(f - 2)**2*(f + 1)/3
Let n(f) be the third derivative of -f**7/280 + f**6/60 + f**5/40 - f**4/4 + 2*f**3/3 - 4*f**2. Let l(z) be the first derivative of n(z). Factor l(u).
-3*(u - 2)*(u - 1)*(u + 1)
Let n(m) be the first derivative of -m**5/25 + 3*m**4/10 - 21. Factor n(l).
-l**3*(l - 6)/5
Let y(m) be the third derivative of -m**6/360 - m**5/180 + m**4/36 - 13*m**2. What is d in y(d) = 0?
-2, 0, 1
Factor w - 4 - 6 - 5*w**2 - 9*w - 7*w.
-5*(w + 1)*(w + 2)
Suppose -3*q = -2