 a(x) = 0.
-1, -2/3, 1
What is a in 6/7 - 9/7*a**5 + 12/7*a**3 - 3/7*a - 18/7*a**2 + 12/7*a**4 = 0?
-1, -2/3, 1
Let r = -17/5 + 18/5. Suppose -r*l**3 - 6/5*l**2 - 12/5*l - 8/5 = 0. What is l?
-2
Let b be (-6)/21 - 16017/21. Let j = -5325/7 - b. Let -j - 2/7*o**3 - 24/7*o - 12/7*o**2 = 0. What is o?
-2
Suppose 0 = 4*y - 9*y. Let r(t) be the third derivative of 1/72*t**4 + 0 + 0*t**3 + y*t - 1/180*t**5 - 2*t**2. Determine p so that r(p) = 0.
0, 1
Factor 23*a**4 + 124 - 3*a**4 - 5*a**5 - 20*a**3 - 124.
-5*a**3*(a - 2)**2
Let v(n) = -13*n**4 + 29*n**3 - 72*n**2 + 67*n - 18. Let b(g) = -4*g**4 + 10*g**3 - 24*g**2 + 22*g - 6. Let c(f) = 14*b(f) - 4*v(f). Factor c(i).
-4*(i - 3)*(i - 1)**3
Let z(k) be the first derivative of -5*k**4/4 - k**3 - 10*k**2 + 20*k + 5. Let g(b) = -3*b**3 - 2*b**2 - 13*b + 13. Let y(d) = 8*g(d) - 5*z(d). Factor y(r).
(r - 2)*(r - 1)*(r + 2)
Let u(a) be the third derivative of a**8/2184 + 4*a**7/1365 + a**6/195 - a**5/195 - 5*a**4/156 - 2*a**3/39 + 20*a**2. Determine n, given that u(n) = 0.
-2, -1, 1
Let o(k) = 4*k**3 - 5*k**2 + 4*k - 3. Let n(u) = -u - u**3 + 3 + 0 + u**2 - 2. Let w(y) = 3*n(y) + o(y). Find c such that w(c) = 0.
0, 1
Let g(d) be the first derivative of d**5/30 - d**3/3 + 2*d**2/3 + 6*d - 3. Let c(m) be the first derivative of g(m). What is k in c(k) = 0?
-2, 1
Factor 0*k + 0*k**4 + 0 - 9/2*k**3 + 3/2*k**5 - 3*k**2.
3*k**2*(k - 2)*(k + 1)**2/2
Let g(v) be the third derivative of v**7/900 + v**6/360 - v**5/150 + v**4/8 - 4*v**2. Let o(q) be the second derivative of g(q). Factor o(j).
2*(j + 1)*(7*j - 2)/5
Let k be 3512/108*63/6. Let c = k + -341. Factor -10/9*s**2 + c*s**3 + 8/9*s - 2/9.
2*(s - 1)**2*(2*s - 1)/9
Suppose 0 = 4*t - t + 3. Let n be 1/(t/2*1). Let w(o) = -2*o**2 + 2*o. Let d(p) = -2*p**2 + 3*p - 1. Let v(l) = n*d(l) + 3*w(l). Suppose v(r) = 0. Calculate r.
-1, 1
Let y be (2*(-8 - -7))/(-2 + -1). Let k(c) be the first derivative of -y*c**3 + 0*c + 0*c**2 - 2 + 1/4*c**4. Factor k(s).
s**2*(s - 2)
Factor -9/4*h**3 + 9/4*h**4 + 0 + 0*h + 3/4*h**2 - 3/4*h**5.
-3*h**2*(h - 1)**3/4
Let n = 3/19 + 7/76. Suppose 14*r = -0*r + 42. Suppose -1/2*h**4 + 0*h + n*h**r + 1/4*h**5 + 0*h**2 + 0 = 0. What is h?
0, 1
Let t(l) = 3*l**2 - 6*l. Let x be t(6). Let a = -5 + 9. Solve -2 + 0 + 4*z**2 + 54*z**5 - a + 18*z + 2 - x*z**3 = 0.
-1, -2/3, 1/3, 1
Let d(m) be the second derivative of m**9/52920 - m**8/23520 + m**4/4 - m. Let b(t) be the third derivative of d(t). Factor b(z).
2*z**3*(z - 1)/7
Factor 0 + 3/2*x**4 - 3*x**5 + 0*x**2 + 3/2*x**3 + 0*x.
-3*x**3*(x - 1)*(2*x + 1)/2
Suppose 0 + 0*r**3 + 1/3*r**4 - 1/3*r**2 + 0*r = 0. What is r?
-1, 0, 1
Factor 0*y**3 + 3/4*y**4 - 3/4*y**2 + 0 + 0*y.
3*y**2*(y - 1)*(y + 1)/4
Factor 110*o**5 - 7*o**3 - 113*o**5 - 5*o**3 + 12*o**4.
-3*o**3*(o - 2)**2
Let z(s) be the first derivative of -s**7/315 + s**6/270 - 2*s**3 - 7. Let x(j) be the third derivative of z(j). Let x(i) = 0. Calculate i.
0, 1/2
Let x(d) be the second derivative of -7*d**4/6 + 40*d**3/9 + 4*d**2/3 - d. Factor x(w).
-2*(w - 2)*(21*w + 2)/3
Let u = 53 + -50. Let f(r) be the third derivative of 0 - 1/280*r**6 - 1/7*r**4 - 2/7*r**u + 2*r**2 + 0*r - 1/28*r**5. Factor f(l).
-3*(l + 1)*(l + 2)**2/7
Let y(k) be the first derivative of k**4/42 - 4*k**3/21 + 3*k**2/7 - 8*k/21 - 21. Suppose y(u) = 0. Calculate u.
1, 4
Suppose -12*k**4 + 2*k**3 + 2*k**3 + 8*k**4 = 0. What is k?
0, 1
Let f = -40 + -13. Let n = f - -161/3. Solve -n*r**4 + 0 + 1/3*r**2 + 1/3*r**3 + 0*r = 0 for r.
-1/2, 0, 1
Let u = -1 + 1. Let d be u/((-2 - -3)*-1). Factor n + d*n - 2*n**3 + n.
-2*n*(n - 1)*(n + 1)
Let y be ((-2)/42)/((-18)/54). Factor -y*x + 1/7*x**2 - 2/7.
(x - 2)*(x + 1)/7
Let z(h) be the first derivative of h**7/84 + h**6/60 - h**5/40 - h**4/24 - 3*h - 3. Let r(p) be the first derivative of z(p). Factor r(f).
f**2*(f - 1)*(f + 1)**2/2
Factor 0*m + 0*m**2 - 5/6*m**5 + 0*m**3 + 0 - 1/3*m**4.
-m**4*(5*m + 2)/6
Let m(d) be the second derivative of d**6/60 - d**5/15 + d**4/12 + 2*d**2 - 2*d. Let c(x) be the first derivative of m(x). Find h such that c(h) = 0.
0, 1
Let y(r) be the first derivative of r**5/180 - r**4/72 - r**2 - 8. Let b(f) be the second derivative of y(f). Find w such that b(w) = 0.
0, 1
Let o(d) = d**3 + 6*d**2 - 9*d + 2. Let s be o(-7). Let z be (s/(-6))/(4/(-18)). Find k, given that 3*k**5 - 3*k**5 + 16*k**4 + z*k**3 + 6*k**5 - 2*k = 0.
-1, 0, 1/3
Let v(m) = m**3 - 12*m**2 - 26*m - 28. Let p be v(14). Let a(d) be the third derivative of 0*d + p + d**2 + 0*d**4 + 0*d**3 - 1/120*d**5. Solve a(j) = 0 for j.
0
Let p = 502 - 502. Find r, given that -1/4*r**2 + p*r - 1/4*r**3 + 0 = 0.
-1, 0
Let a(v) = -2*v - 8. Let o be a(-4). Let d(t) be the second derivative of 2*t - 1/6*t**4 + 0*t**2 + 1/10*t**5 + o*t**3 + 0. Factor d(w).
2*w**2*(w - 1)
Let q be 3/(-6) + 91/14. Let u(o) be the second derivative of -o - 1/12*o**4 + 0*o**2 + 0*o**3 + 1/4*o**5 - 2/15*o**q + 0. Solve u(n) = 0 for n.
0, 1/4, 1
Let q(i) be the second derivative of -i**8/560 - i**7/840 - i**3/2 - i. Let j(m) be the second derivative of q(m). Determine f so that j(f) = 0.
-1/3, 0
Suppose 3/4*i**4 - 3/4*i**5 + 0 + 3/4*i**3 + 0*i - 3/4*i**2 = 0. Calculate i.
-1, 0, 1
Let x be 5 + -8 - (-9 + 3). Determine g, given that -g**2 - 2*g**4 + 0*g + 0 + 5/2*g**x + 1/2*g**5 = 0.
0, 1, 2
Factor -1/2 - 3/4*m + 0*m**2 + 1/4*m**3.
(m - 2)*(m + 1)**2/4
Suppose -147 + 143 = -y. Let u(t) be the third derivative of 0*t**3 - 1/180*t**5 + 0*t - t**2 - 1/36*t**y + 0. Factor u(s).
-s*(s + 2)/3
Let l(x) be the third derivative of x**6/40 + 13*x**5/20 + 23*x**4/8 + 11*x**3/2 - 71*x**2. Factor l(c).
3*(c + 1)**2*(c + 11)
Let n(y) = -6*y. Let o(h) = h**4 + h**3 - h**2 - 11*h. Suppose 2*z + 13 = -v, 0 = -2*v - z - 15 + 1. Let c(q) = v*n(q) + 3*o(q). Find b such that c(b) = 0.
-1, 0, 1
Let c = 55 - 53. Determine i, given that 8 + 1/2*i**c - 4*i = 0.
4
Let u(a) be the third derivative of a**8/2520 - a**7/1575 + 6*a**2. Solve u(p) = 0.
0, 1
Let a be (-1)/((-2)/8) - 2. Let t(j) be the first derivative of a + 0*j**2 + 0*j + 1/3*j**3 + 3/8*j**4 + 1/10*j**5. Factor t(w).
w**2*(w + 1)*(w + 2)/2
Let n = 99/28 - 23/7. Let 1/4*v**3 + 1/2*v**2 + 0 + n*v = 0. Calculate v.
-1, 0
Let h = -5 - -7. Find x, given that -70*x**5 - 3 + 3 - 56*x**3 - 8*x**h - 118*x**4 = 0.
-1, -2/5, -2/7, 0
Suppose 107*t = 105*t + 12. Let l(r) be the second derivative of -3/16*r**4 + 1/40*r**t - r + 0 - 1/4*r**3 + 0*r**2 + 0*r**5. Factor l(u).
3*u*(u - 2)*(u + 1)**2/4
Let x(d) be the third derivative of -d**5/80 + d**4/16 + d**3 - 13*d**2. Find b, given that x(b) = 0.
-2, 4
Let a(i) = -42*i**3 + 47*i**2 + 12*i + 17. Let v(x) = 7*x**3 - 8*x**2 - 2*x - 3. Let n(g) = 6*a(g) + 34*v(g). Let n(y) = 0. What is y?
-2/7, 0, 1
Let o(f) = -f**3 + 12*f**2 - 48*f + 67. Let l(u) = -u**3 + 12*u**2 - 48*u + 66. Let h(d) = 3*l(d) - 2*o(d). Factor h(q).
-(q - 4)**3
Factor -10/9*l**2 + 0 + 4/9*l - 2/9*l**4 + 8/9*l**3.
-2*l*(l - 2)*(l - 1)**2/9
Let s be 3*((-1)/6*-28 - 4). Find w such that -2/11*w - 2/11*w**s + 0 = 0.
-1, 0
Let v(s) be the second derivative of -s**3/6 - s**2 + 3*s. Let q be v(-6). Factor 5*a**3 - a - a**3 + 2*a**2 - 3*a**3 - a**q - a**2.
-a*(a - 1)**2*(a + 1)
Let m(k) = -k**2 + 13*k - 8. Let x be m(12). Suppose -2*w + 8 = -x*t - 0, -4*t + 16 = 4*w. Factor 2/3*i**w + 1/3*i + 0 - 1/3*i**5 + 0*i**3 - 2/3*i**2.
-i*(i - 1)**3*(i + 1)/3
Let y(x) = x**3 + 10*x**2 + 9*x + 4. Suppose -6*h - 71 + 17 = 0. Let o be y(h). Determine n so that 0*n - 4/11*n**2 + 2/11*n**o + 2/11 + 0*n**3 = 0.
-1, 1
Factor 0*y - 1/6*y**2 + 0 + 1/6*y**5 - 1/6*y**3 + 1/6*y**4.
y**2*(y - 1)*(y + 1)**2/6
Let f(g) be the first derivative of g**4/2 + 4*g**3/3 + g**2 - 4. Suppose f(r) = 0. What is r?
-1, 0
Let j(g) = -9*g**3 + 59*g**2 + 95*g + 21. Let y(v) = 10*v**3 - 58*v**2 - 94*v - 22. Let p(h) = 2*j(h) + 3*y(h). Factor p(r).
4*(r - 6)*(r + 1)*(3*r + 1)
Let v = 1891 - 11321/6. Let g(t) be the first derivative of -2*t**2 + 2 - 4*t**5 + v*t**6 - 21/4*t**4 + 0*t + 20/3*t**3. Factor g(q).
q*(q - 1)*(q + 1)*(5*q - 2)**2
Determine w so that -5/4*w**2 + 1/4*w**4 + 3/4*w**3 - 1/4*w**5 + 0 + 1/2*w = 0.
-2, 0, 1
Let i(w) be the third derivative of 5/24*w**5 - 1/3*w**4 + 1/3*w**3 + 0 - 1/672*w**8 - 4*w**2 - 19/240*w**6 + 0*w + 1/60*w**7. Factor i(y).
-(y - 2)**2*(y - 1)**3/2
Suppos