2/5*o**5 + 0*o - 8 + 0*o**3. Factor y(a).
2*a**4
Find q, given that 1/4*q**2 - 3/4 - 1/2*q = 0.
-1, 3
Let l = 7 + -4. Let t be (-2)/l*9/(-24). Let -1/4*f**2 + 1/2*f + 0 - t*f**3 = 0. What is f?
-2, 0, 1
Let q(g) be the first derivative of 1/9*g**6 + 0*g**2 + 0*g**3 + 0*g**5 + 0*g + 2 - 1/6*g**4. Suppose q(l) = 0. Calculate l.
-1, 0, 1
Let n(j) = 2 - 3 - 3*j + j. Let w be n(-2). Let 0*y**4 - 15*y**2 + 11*y**3 + 7*y**w - 6*y**3 + 6*y - 3*y**4 = 0. Calculate y.
0, 1, 2
Let f be 0/2 - (-2)/7. Let k(v) = -2*v**2 - 9*v + 7. Let j be k(-5). Factor 0 - 2/7*c + f*c**j.
2*c*(c - 1)/7
Let g(o) = -o**3 + o**2 - o. Let p(n) = 10*n**3 - 50*n**2 - 55*n - 40. Let k(a) = 15*g(a) + p(a). Find z such that k(z) = 0.
-4, -2, -1
Let j(w) be the third derivative of -1/12*w**3 + 1/48*w**4 + 1/60*w**5 + 0 + 0*w - 3*w**2. Let j(z) = 0. What is z?
-1, 1/2
Let f be (-3)/(-6)*(30 - -2). Factor 0*r**3 - 8*r**2 - 19*r**3 - 4*r**5 - f*r**4 - r**3.
-4*r**2*(r + 1)**2*(r + 2)
Let g(q) be the third derivative of -q**6/360 + q**5/60 - 2*q**3/3 + 4*q**2. Let l(s) be the first derivative of g(s). Factor l(j).
-j*(j - 2)
Let j be 12 + 196/(-30) - 4/30. Factor j*f - 4/3 - 7/3*f**2.
-(f - 2)*(7*f - 2)/3
Let 0 + 2/3*l + l**3 + 7/3*l**4 - 5/3*l**5 - 7/3*l**2 = 0. Calculate l.
-1, 0, 2/5, 1
Factor -2/3*b**2 + 1/3*b - 1/3*b**3 + 2/3.
-(b - 1)*(b + 1)*(b + 2)/3
Let t be -2*(9/(-2) - -3). Let w be (t/6)/(2/12). Solve -128/7*i**w - 96/7*i**2 - 24/7*i - 2/7 = 0 for i.
-1/4
Suppose -6 = -q - 1. Factor 4/9*h**2 + 16/9*h**4 + 14/9*h**3 + 0 + 0*h + 2/3*h**q.
2*h**2*(h + 1)**2*(3*h + 2)/9
Let l = -2938 + 616981/210. Let q(j) be the third derivative of 0*j**3 + 1/525*j**7 + 0*j**5 + 0 + 0*j**6 + 2*j**2 - l*j**8 + 0*j + 0*j**4. Factor q(g).
-2*g**4*(4*g - 1)/5
Let b = -33/2 + 248/15. Let o(t) be the third derivative of 0*t**4 + 0 + 0*t - b*t**5 + 2*t**2 + 1/3*t**3. Suppose o(x) = 0. Calculate x.
-1, 1
Factor -36*f**2 - 16*f + 118*f**4 - 59*f**4 - 9 - 14*f - 18*f**3 - 62*f**4.
-3*(f + 1)**3*(f + 3)
Let d(b) = 16*b**5 + 15*b**4 - 5*b**3 - 5*b**2 + 7*b + 7. Let w(z) = 11*z**5 + 10*z**4 - 3*z**3 - 3*z**2 + 5*z + 5. Let x(o) = 5*d(o) - 7*w(o). Factor x(m).
m**2*(m - 1)*(m + 2)*(3*m + 2)
Let u be 4 + 25/(-10) + 1. Factor -4*j - 1/2*j**5 - 2 - 1/2*j**2 + u*j**3 + 1/2*j**4.
-(j - 2)**2*(j + 1)**3/2
Suppose -j + 2*j - 2 = 0, 10 = 4*c + j. Suppose -c*q - 2 = 0, 3*i = -0*i + 4*q + 10. Factor 2*g**2 + 4*g + g - 3*g + i - 6.
2*(g - 1)*(g + 2)
Let l(f) = -f**2 + 13*f - 26. Let u be l(10). Find k such that -3*k**3 - 4*k - 1/2*k**u + 0 - 6*k**2 = 0.
-2, 0
Let y be 1/3 - (-143)/1521*3. Find w, given that 2/13 - y*w**3 - 14/13*w**2 - 4/13*w = 0.
-1, 1/4
Let x(h) be the first derivative of -3*h**4/4 - h**3 + 3*h**2/2 + 3*h + 12. Factor x(d).
-3*(d - 1)*(d + 1)**2
Let d(j) = 9*j**3 - 5*j**2 - 12*j + 13. Let x(z) = 5*z**3 - 3*z**2 - 6*z + 7. Let l(y) = 3*d(y) - 5*x(y). What is n in l(n) = 0?
-2, 1
Let j(g) = -3*g**2 + 2*g + 1. Let c be j(-1). Let l be 1*(4/(-3))/c. Determine h, given that -1/3*h**3 + h**2 + l - h = 0.
1
Let o = -7 - -11. Determine q so that o*q**2 + 6*q**4 - 6*q**4 - 2*q**3 + 10*q**3 + 4*q**4 = 0.
-1, 0
Let 1/2*g + 0 - 5/4*g**3 - 1/4*g**2 - 1/2*g**4 = 0. What is g?
-2, -1, 0, 1/2
Let w = -4 - -7. Let p(k) be the second derivative of -1/63*k**7 + 2/9*k**4 - 1/9*k**w + 0 + 0*k**2 - 1/5*k**5 - 2*k + 4/45*k**6. Let p(g) = 0. Calculate g.
0, 1
Let h(l) be the first derivative of 2*l**5/25 - l**4/10 - 2*l**3/15 + l**2/5 + 2. Find w such that h(w) = 0.
-1, 0, 1
Solve -14/5*o**2 - 2*o - 2/5 - 6/5*o**3 = 0 for o.
-1, -1/3
Let i be -3 + -1*45/(-6). Let p = i + -19/6. Factor 1/3 + 1/3*t**4 - 4/3*t**3 - p*t + 2*t**2.
(t - 1)**4/3
Suppose -41*j**5 + 88*j**5 + 9*j**2 - 44*j**5 - 9*j**4 - 6*j + 3*j**3 = 0. What is j?
-1, 0, 1, 2
Let f = 27 + -77/3. Factor -1 - 1/3*b**2 - f*b.
-(b + 1)*(b + 3)/3
Let f(r) = 6*r**2 - 4. Let n(s) = 7*s**2 + s - 5. Suppose 1 + 19 = -5*l. Let x(d) = l*n(d) + 5*f(d). Solve x(c) = 0 for c.
0, 2
Let s(w) be the third derivative of 2*w**7/315 - w**6/45 + w**5/36 - w**4/72 - 17*w**2. Factor s(l).
l*(l - 1)*(2*l - 1)**2/3
Suppose 4*n = x - 1 + 9, -5*n + 10 = -5*x. Factor 1/5*y**3 + 0*y**n + 0 + 0*y + 1/5*y**5 + 2/5*y**4.
y**3*(y + 1)**2/5
Let q = -20 - -24. Factor 0*g + 0*g**3 + 0 - 1/3*g**2 + 1/3*g**q.
g**2*(g - 1)*(g + 1)/3
Let -2*w - 4*w + 6 - 3*w + 3*w**2 = 0. What is w?
1, 2
Factor 45/4*t**4 + 55/4*t**3 + 5/2*t**2 + 0*t + 0.
5*t**2*(t + 1)*(9*t + 2)/4
Factor -11*n**3 - 2*n**2 - 2*n**2 - 2*n**2 - 10*n**3.
-3*n**2*(7*n + 2)
Let j = 5 - 2. What is n in 0*n**j - 3*n**3 + 5*n**3 = 0?
0
Let c(m) = -2*m**2 - 1. Let v(o) be the second derivative of 0 - 1/2*o**2 - 1/12*o**4 - o + 0*o**3. Let j(q) = -4*c(q) + 6*v(q). Factor j(b).
2*(b - 1)*(b + 1)
Let h(f) be the first derivative of -7 + 0*f**2 - 4/9*f**3 - 1/6*f**4 + 0*f. Suppose h(g) = 0. Calculate g.
-2, 0
Let l(t) be the second derivative of -t - 1/30*t**6 + 1/60*t**5 + 0 + 0*t**3 + 1/18*t**4 + 0*t**2. Let l(g) = 0. What is g?
-2/3, 0, 1
Suppose 0 + 8*v**2 + 4/3*v**3 + 16/3*v - 2*v**4 - 2/3*v**5 = 0. Calculate v.
-2, -1, 0, 2
Let o be -15*3/(-9) - 3. Let v be (-55)/(-15) + (-6)/o. Factor -v*s**2 + 0 + 4/3*s.
-2*s*(s - 2)/3
Let p(i) = i**2 + 5*i + 2. Let g(z) = -3 - 20*z + 14*z + 0. Let k(o) = 2*g(o) + 3*p(o). Factor k(f).
3*f*(f + 1)
Let c be (-3*1)/((-8)/72). Factor -c*o**3 - 91*o**2 - 27*o + o**2 - 24 - 57*o.
-3*(o + 2)*(3*o + 2)**2
Let j(p) be the third derivative of 1/105*p**7 - 7/240*p**5 + 23/480*p**6 + 0 - 1/84*p**8 - 7/96*p**4 - 3*p**2 - 1/24*p**3 + 0*p. Let j(t) = 0. Calculate t.
-1, -1/4, 1
Let p = 16 - 12. Let h(o) = -2*o + 8. Let k be h(p). Factor k*c + 0 - 2/5*c**5 + 2/5*c**3 + 2/5*c**2 - 2/5*c**4.
-2*c**2*(c - 1)*(c + 1)**2/5
Let u(r) = -r + 7. Let k be u(5). Let p be 1/(3/(-2) + k). Determine t, given that 0*t - 4*t**2 + 3*t - 5*t - p*t**3 = 0.
-1, 0
Let t(z) be the second derivative of 0 + 0*z**2 - 3*z + 1/70*z**5 + 0*z**4 + 0*z**3. Factor t(r).
2*r**3/7
Suppose -2*d + 39 = 5*n - d, 0 = 5*n - 5*d - 15. Let b = n - 4. Factor -2 - 2*u**b + 2.
-2*u**3
Let y(n) be the first derivative of n**5/5 - 3*n**4/4 + n**3/3 + 3*n**2/2 - 2*n + 1. Suppose y(v) = 0. Calculate v.
-1, 1, 2
Let u(d) = -6*d**2 - 12*d - 23. Let k(w) = 2*w**2 + 4*w + 8. Let y(v) = 17*k(v) + 6*u(v). Determine t so that y(t) = 0.
-1
Let q = -35 - -11. Let l be 3 - 1 - (-32)/q. Factor -l*o**2 + 2/3 + 0*o.
-2*(o - 1)*(o + 1)/3
Factor -26*t + 5853*t**3 - 5848*t**3 + 6*t.
5*t*(t - 2)*(t + 2)
Suppose 0 = -2*d + a - 4 - 0, -a + 4 = -3*d. Let d - 3/4*i - 3/4*i**2 = 0. What is i?
-1, 0
Let s(y) be the third derivative of -7*y**6/900 - 3*y**5/100 - y**4/30 - 2*y**3/3 + 2*y**2. Let u(w) be the first derivative of s(w). Let u(k) = 0. What is k?
-1, -2/7
Let q(l) = 4*l**4 - 2*l**3 + 12*l**2 + 2*l - 10. Let c(v) = 3*v**4 - 2*v**3 + 11*v**2 + 2*v - 9. Let r(s) = -6*c(s) + 5*q(s). Factor r(k).
2*(k - 1)**2*(k + 1)*(k + 2)
Let k(v) = -v**3 - 5*v**2 + 5*v - 4. Let m be k(-6). Factor -9/7*r**m - 3/7*r + 0 + 12/7*r**3.
3*r*(r - 1)*(4*r + 1)/7
Suppose -6*d**2 + d**2 + 10*d**2 + 5*d + 40*d = 0. What is d?
-9, 0
Let i(a) be the first derivative of -2*a**3/21 - 2*a**2/7 + 6*a/7 + 3. Factor i(j).
-2*(j - 1)*(j + 3)/7
Factor 0*o**2 - 1/2*o**4 - o**3 + o + 1/2.
-(o - 1)*(o + 1)**3/2
Let i(u) = -2*u**5 + 2*u**4 - 2*u**2 - 4*u + 6. Let k(w) = -3*w**4 + 2*w**2 - 7 + 2*w**5 + w**2 + 5*w + 0 + 0*w. Let y(f) = 7*i(f) + 6*k(f). Factor y(v).
-2*v*(v - 1)*(v + 1)**3
What is s in 6*s + 0*s - 4*s**2 + 2*s = 0?
0, 2
Let v(w) = 4*w**2 + 20*w + 44. Let h(l) = l**2 + 4*l + 9. Let s(r) = 14*h(r) - 3*v(r). Solve s(x) = 0.
-1, 3
Let j be 3*5/90 - 1/6. Let m(q) be the second derivative of 1/6*q**4 + j + 2*q + 0*q**2 + 0*q**3 + 1/10*q**5. Factor m(s).
2*s**2*(s + 1)
Let u(o) be the second derivative of o**9/216 - 2*o**8/105 + 11*o**7/420 - o**6/90 - 5*o**3/6 + o. Let b(f) be the second derivative of u(f). Factor b(s).
2*s**2*(s - 1)**2*(7*s - 2)
Suppose 3*g = -2*u + 6, -3*u - 4*g + 5 = -3. Let f(z) be the third derivative of -1/240*z**5 + 1/24*z**3 - 1/96*z**4 + u - z**2 + 1/480*z**6 + 0*z. Factor f(t).
(t - 1)**2*(t + 1)/4
Suppose -6*w = 3*o - 9*w + 3, 2*w - 8 = 0. Find i, given that -1/2*i**4 + 3/2*i**o - 3/2*i**2 + 1/2*i + 0 = 0.
0, 1
Let m(s) be the third derivative of -s**7/525 + s**5/150 - 14*s**2. Factor 