**5 + 1 - 3/5*x**4 + 8/5*x**2 + 0*x. Factor m(s).
-2*s*(s - 2)**3*(s + 1)/5
Let z be (5 + 88/(-16))/(6/(-4)). Suppose 0*k - z + 1/3*k**2 = 0. Calculate k.
-1, 1
Let h(x) be the second derivative of x**7/28 - x**6/20 - 3*x**5/40 + x**4/8 - 3*x - 2. What is z in h(z) = 0?
-1, 0, 1
Factor -4/3*r**4 + 4/3 + 8/3*r**3 + 0*r**2 - 8/3*r.
-4*(r - 1)**3*(r + 1)/3
Let a(o) = -8*o**4 - 8*o**3 + 14*o**2 + 8*o - 2. Let t(q) = -q**4 + q**3 - q - 1. Let b(l) = -a(l) - 2*t(l). Factor b(m).
2*(m - 1)*(m + 1)**2*(5*m - 2)
Let b(g) = -g - 2. Let h be b(-4). Let u(k) = -k**2 - k + 1. Let y(p) = -2*p**2 + p + 6. Let a(v) = h*y(v) - 6*u(v). Solve a(j) = 0 for j.
-3, -1
Let 0*i**2 + 3 + 3/2*i**3 - 9/2*i = 0. Calculate i.
-2, 1
Suppose 0 = 3*a - 0*a. Let i(f) be the third derivative of 0*f**6 + 0 + 0*f + 0*f**3 + a*f**4 + f**2 - 1/105*f**7 + 1/30*f**5. Find n such that i(n) = 0.
-1, 0, 1
Let t be 0*1*(3 + (-12)/6). Factor 0 + t*w + 1/2*w**4 + 0*w**2 + 1/2*w**3.
w**3*(w + 1)/2
Let i = -421/4 - -106. Suppose 4*u = -2 + 10. Factor 0 - i*a**u + 1/4*a.
-a*(3*a - 1)/4
Let p(y) be the first derivative of -2*y**5/65 + 3*y**4/26 - 4*y**3/39 - 16. Determine r so that p(r) = 0.
0, 1, 2
Factor 0 - 6/11*h + 1/11*h**2.
h*(h - 6)/11
Let d(y) be the first derivative of 2*y**6/9 - y**4/3 - 17. Factor d(c).
4*c**3*(c - 1)*(c + 1)/3
Let c = 1/45 + 7/9. Suppose -4/5 - c*f - 1/5*f**2 = 0. What is f?
-2
Suppose 2*t = -5*b + 30, 0*b = -4*b. Find v such that -42*v - 9 + 33 + 49*v**2 - t = 0.
3/7
Factor 18 - 7*r**3 + 19*r - 14 - 5*r**2 - 3*r + 10*r**2.
-(r - 2)*(r + 1)*(7*r + 2)
Let w(f) = 7*f**2 - 4*f. Let u(p) = -3*p**2 + 2*p. Let t(x) = 5*u(x) + 2*w(x). Factor t(o).
-o*(o - 2)
Let u(v) be the second derivative of v**4/24 + 3*v**3/4 + 7*v**2/2 - 14*v - 1. Let u(w) = 0. What is w?
-7, -2
Let l(j) be the second derivative of 2*j**4 - 4*j**3/3 + j**2/3 - 4*j - 3. Solve l(k) = 0.
1/6
Let s(t) be the second derivative of t**9/13608 - t**8/2520 + t**7/1260 - t**6/1620 - t**3/2 - t. Let w(y) be the second derivative of s(y). Factor w(k).
2*k**2*(k - 1)**3/9
Let x(b) be the first derivative of -3*b**4/4 - 4*b**3 - 6*b**2 + 3. Suppose x(z) = 0. What is z?
-2, 0
Let z(g) be the first derivative of 6 + 3/2*g**4 + 0*g - 3/2*g**2 + 0*g**5 - 1/2*g**6 + 0*g**3. Let z(u) = 0. What is u?
-1, 0, 1
Let c be 1/(-4)*(-15)/((-45)/(-8)). Factor -4/3*o**3 - 4/3*o**2 + 2/3*o + 2/3*o**4 + c*o**5 + 2/3.
2*(o - 1)**2*(o + 1)**3/3
Factor 15*n + 2*n**2 - n**3 + 8*n - 15*n.
-n*(n - 4)*(n + 2)
Let w = 235/1338 + -2/223. Let t(u) be the third derivative of -2*u**2 + w*u**3 + 0*u + 0 + 1/48*u**4 - 1/120*u**5. Factor t(b).
-(b - 2)*(b + 1)/2
Suppose 21*u + 6 = 24*u. Factor -2/5*d**u + 2/5*d - 2/5*d**3 + 2/5.
-2*(d - 1)*(d + 1)**2/5
Let i be 10/(-4)*4/2. Let b be ((-16)/(-12))/(i/(-3)). Solve 2/5*u**3 + 2*u - 8/5*u**2 - b = 0.
1, 2
Let h = 0 + 4. Suppose 0 + 4/3*d**h + 0*d**2 - 2/3*d**5 + 0*d - 2/3*d**3 = 0. What is d?
0, 1
Let v(a) = -2 + a**3 + 7*a**2 - 5*a**2 + 5*a**2 + 5*a. Let r be v(-6). Factor -r*m**3 - 2*m + 3*m**3 + 3*m.
-m*(m - 1)*(m + 1)
Let h be -2 + -1*8 + 2. Let g = h + 90/11. Factor 0 + 2/11*p**2 + g*p.
2*p*(p + 1)/11
What is m in 0*m**2 + 0 + 8/3*m**3 + 0*m + 0*m**4 - 2/3*m**5 = 0?
-2, 0, 2
Let h be 8/4*(-2)/(-20). Let -h*o**3 + 0*o + 0*o**2 + 2/5*o**4 - 1/5*o**5 + 0 = 0. What is o?
0, 1
Let k(i) be the third derivative of -i**5/330 + i**4/44 + 4*i**3/33 - 4*i**2. Factor k(w).
-2*(w - 4)*(w + 1)/11
Let m(g) be the first derivative of 2*g**5/5 - g**4/2 - 2*g**3 + g**2 + 4*g + 6. Suppose m(s) = 0. Calculate s.
-1, 1, 2
Find t such that t**3 + t - 3*t - t**4 + 2*t = 0.
0, 1
Let o(g) be the second derivative of 21*g**5/20 - g**4 - 3*g**3/2 - 26*g. Determine m so that o(m) = 0.
-3/7, 0, 1
Let l(c) be the second derivative of -c**7/378 - c**6/135 + c**5/20 + c**4/54 - 4*c**3/27 - 12*c + 1. Let l(p) = 0. What is p?
-4, -1, 0, 1, 2
Factor 486/7*c**3 + 528/7*c + 96/7 + 918/7*c**2.
6*(c + 1)*(9*c + 4)**2/7
Let r(a) be the first derivative of -a**4/4 + 2*a**3 - 6*a**2 - 5*a - 5. Let f(j) be the first derivative of r(j). Factor f(i).
-3*(i - 2)**2
Suppose -2 = c - 0. Let o be (5 - 2)/((-3)/c). Suppose -2*w**o + 2*w**2 - 6*w**2 + 2*w**3 + 2*w + 2*w**2 = 0. What is w?
0, 1
Let p be (2 + 64/(-36))/(2/24). Let a(i) be the first derivative of -p*i - 3 - 4/3*i**2 - 2/9*i**3. Factor a(s).
-2*(s + 2)**2/3
Let x(g) be the second derivative of -g**4/36 - g**3/18 + g**2/3 + 6*g. Factor x(l).
-(l - 1)*(l + 2)/3
Suppose -k + 5 - 3 = 0. Solve -12 - 5*c**k - 17*c**3 + 14*c**2 + 20*c**3 = 0.
-2, 1
Suppose f - 5*f + 16 = 0. Suppose -2*y + 12*y**5 + 150 - 2*y**2 + 26*y**f + 14*y**3 - 150 = 0. Calculate y.
-1, -1/2, 0, 1/3
Suppose 4*l = -5 - 15. Let u(m) = 4*m - 14. Let k be u(5). Let w(r) = 3*r**2 - 2*r - 1. Let c(s) = 3*s**2 - 2*s - 1. Let q(g) = k*c(g) + l*w(g). Factor q(o).
(o - 1)*(3*o + 1)
Let o be 56/(-36) + 3 - -1. Let z = 97/36 - o. Factor z*i**2 - 1/4*i - 1/2.
(i - 2)*(i + 1)/4
Let t be ((-12)/(-24))/((-1)/(-20)). Let m = t + -8. Factor -m*p**2 + 1/2 + 3/2*p.
-(p - 1)*(4*p + 1)/2
Suppose -46/3*r**4 - 154/9*r**2 - 4*r**5 - 8/9 - 56/9*r - 208/9*r**3 = 0. Calculate r.
-1, -2/3, -1/2
Let w = 80 + -76. Suppose -2/3*h**w + 2*h**3 - 2/3*h**5 + 2/3*h**2 + 0 - 4/3*h = 0. What is h?
-2, -1, 0, 1
Let a = -14 - -27. Let u be (1/(-8))/(a/(-26)). Factor 0 - 1/4*x + u*x**3 + 0*x**2.
x*(x - 1)*(x + 1)/4
Let p(s) be the second derivative of s**6/50 - s**4/20 + 8*s. Let p(a) = 0. What is a?
-1, 0, 1
Suppose -r - r + 8 = 0. Let l = -8 + r. Let d(z) = -6*z**3 + 5*z**2 + 6*z + 3. Let b(u) = u**3 - u**2 - u - 1. Let q(n) = l*b(n) - d(n). Factor q(w).
(w - 1)*(w + 1)*(2*w - 1)
Let f = 14 - 84. Let g be ((-5)/f)/(1/20). Find x, given that g*x**2 + 4/7*x + 2/7*x**3 - 6/7*x**5 - 10/7*x**4 + 0 = 0.
-1, -2/3, 0, 1
Let z = -144 - -291/2. Factor y**3 + z*y**4 + 0*y**2 + 0 + 1/2*y**5 + 0*y.
y**3*(y + 1)*(y + 2)/2
Let x(c) = -c**5 - c**4 - c**3 - c**2. Let w(n) = -2*n**5 + n**4 - 5*n**3 - 11*n**2 - 3*n. Let i(j) = w(j) - 5*x(j). Suppose i(h) = 0. What is h?
-1, 0, 1
Let a(c) be the second derivative of -c**5/90 + c**4/54 + 18*c. Factor a(d).
-2*d**2*(d - 1)/9
Suppose 0*n + 3*n + 3 = 3*x, -2*n + 22 = 4*x. Factor 0*f + 0 - 4/3*f**2 - 2*f**3 + 8*f**x - 14/3*f**5.
-2*f**2*(f - 1)**2*(7*f + 2)/3
Let g(x) be the third derivative of -x**9/272160 + x**8/45360 + x**5/12 + x**2. Let v(r) be the third derivative of g(r). Factor v(a).
-2*a**2*(a - 2)/9
Let w(h) = -10*h - 1. Let n be w(-1). Let k be 13/n - (1 + 0). Factor -k*s**2 + 2/9*s + 4/9 - 2/9*s**3.
-2*(s - 1)*(s + 1)*(s + 2)/9
Let z(o) be the third derivative of -o**6/30 - o**5/3 - 4*o**4/3 - 8*o**3/3 + 4*o**2. Factor z(k).
-4*(k + 1)*(k + 2)**2
Let l = -227 - -230. Determine i, given that 0*i**2 - 2/7*i**l + 0*i + 0 = 0.
0
Let h(g) = -g**3 + 6*g**2 - 6*g - 6. Let r = -16 + 20. Let m be h(r). Suppose 0*s**m - 4/7 + 6/7*s - 2/7*s**3 = 0. Calculate s.
-2, 1
Let j be (1 - 0)/(7*1/2). Determine g so that 2/7*g + 0 + j*g**3 - 4/7*g**2 = 0.
0, 1
Suppose 0 = -18*g + 23*g - 10. Factor -2/3*x**g + 2/3 + 0*x.
-2*(x - 1)*(x + 1)/3
Suppose -1 = -x + 2. Factor -x*w**4 - w**5 + 4*w - 2*w**3 + 1 + 0*w**2 - w + 2*w**2.
-(w - 1)*(w + 1)**4
Let x(q) be the first derivative of q**3/7 + 3*q**2 + 39*q/7 - 43. Factor x(w).
3*(w + 1)*(w + 13)/7
Let q be 807/15*(-3)/(-6). Let g = -53/2 + q. Solve g*p**2 + 0 + 0*p = 0.
0
Suppose 5*u - 10 = -o, 2*u + 0*o - 4 = 2*o. Suppose -3/2*t**3 + 1/2*t**4 + 3/2*t**u - 1/2*t + 0 = 0. Calculate t.
0, 1
Let p = -55 - -59. Let w(x) be the first derivative of 0*x**p + 0*x + 2 + 2/15*x**5 + 0*x**3 - 4/9*x**6 + 0*x**2. Factor w(j).
-2*j**4*(4*j - 1)/3
Let k(h) be the second derivative of -h**5/50 - h**4/15 + h**3/15 + 2*h**2/5 - 17*h - 1. Factor k(i).
-2*(i - 1)*(i + 1)*(i + 2)/5
Suppose 0 = 3*c - 30 + 6. Let r be 2/((c - 0)*1). Factor 1/2*x**2 + 0*x - 1/4*x**4 - r + 0*x**3.
-(x - 1)**2*(x + 1)**2/4
Let l = -15 - -15. Let m = 7/76 + 3/19. Factor l*j - 1/4 + m*j**2.
(j - 1)*(j + 1)/4
Let -3*r**2 + 17 - 34 + 17 - 3*r = 0. Calculate r.
-1, 0
Let h(w) be the first derivative of -w**5/20 - w**4/6 - w**3/6 + 2*w + 2. Let q(k) be the first derivative of h(k). Factor q(z).
-z*(z + 1)**2
Let u(j) be the third derivative of j**7/315 - j**6/36 + j**5/45 + 2*j**4/9 + 2*j**2 + 3. Let u(w) = 0. What is w?
-1, 0, 2, 4
Fac