4/6 + 8*x**3/9 + 5*x**2/3 + 4*x/3 + 1. Factor w(s).
2*(s + 1)**2*(s + 2)/3
Suppose 5*y - 6*y + 3 = 0. Suppose -3*z + 1 + 5 = 0. What is r in 6*r**2 - r**2 - y*r**2 + z*r = 0?
-1, 0
Suppose 21*j**4 + 4*j - 6*j**3 + 8*j - 3*j**3 - 18*j**4 = 0. Calculate j.
-1, 0, 2
Let x(t) = t**5 + t**3 + t**2 - t - 1. Let l(n) = 6*n**5 + 10*n**4 + 18*n**3 + 10*n**2 - 4*n - 4. Let z(y) = -l(y) + 4*x(y). Find b, given that z(b) = 0.
-3, -1, 0
Let g = 38 - 60. Let w be (g/(-10) - 1) + -1. Factor -w*l**3 - 1/5*l + 0 + 2/5*l**2.
-l*(l - 1)**2/5
Let s = -11393/54 - -211. Let x(d) be the second derivative of s*d**4 + 0*d**2 + 0*d**3 + 0 + d. Determine p, given that x(p) = 0.
0
Let l(t) be the first derivative of t**6/10 - 3*t**5/20 - t + 4. Let m(i) be the first derivative of l(i). Find h, given that m(h) = 0.
0, 1
What is k in 0*k**5 + 14*k**3 + 4*k**5 - 8*k**3 - 10*k**3 = 0?
-1, 0, 1
Let r(s) = -2*s - 5. Let y be r(13). Let p = y + 31. Factor p*f + 0 - 1/3*f**2.
-f**2/3
Let b(x) be the third derivative of 0 + 1/36*x**4 - x**2 - 1/18*x**3 + 0*x - 1/180*x**5. Determine r so that b(r) = 0.
1
Let v(d) be the first derivative of -3*d**2 - 4/5*d**5 + 4 - 4/3*d - 32/9*d**3 - 7/3*d**4 - 1/9*d**6. Factor v(n).
-2*(n + 1)**4*(n + 2)/3
Let r(d) be the third derivative of d**5/12 - 5*d**4/6 + 5*d**3/2 + 13*d**2. Let r(o) = 0. Calculate o.
1, 3
Factor -2/9*l + 2/9*l**3 + 2/9*l**2 - 2/9*l**4 + 0.
-2*l*(l - 1)**2*(l + 1)/9
Let g(k) be the third derivative of -k**6/240 + 7*k**5/120 - 5*k**4/16 + 3*k**3/4 + 15*k**2. What is p in g(p) = 0?
1, 3
Let t(m) = 4*m**3 - 4*m**2 - 16*m - 10. Let r(i) = -9*i**3 + 7*i**2 + 31*i + 20. Let k(d) = 2*r(d) + 5*t(d). Factor k(o).
2*(o - 5)*(o + 1)**2
Suppose 2*o + 2*o - 26 = 5*p, -6 = -4*o - 5*p. Solve 5 - o*n**3 - 8 + n + 3*n**2 + 3 = 0 for n.
-1/4, 0, 1
Let r(d) be the third derivative of 0*d**3 + 1/112*d**8 - 1/20*d**5 - 1/40*d**6 + 4*d**2 + 0*d**4 + 0*d + 1/70*d**7 + 0. Factor r(b).
3*b**2*(b - 1)*(b + 1)**2
Let p(h) be the second derivative of -h**4/6 - 4*h**3 - 11*h**2 - 7*h + 4. Factor p(z).
-2*(z + 1)*(z + 11)
Factor -2/9*z**2 + 0 - 4/9*z.
-2*z*(z + 2)/9
Let d be (36/14)/((-10)/(-210)). Factor t - 3*t - 16*t + 2 + 0*t - d*t**3 + 54*t**2.
-2*(3*t - 1)**3
Let v(m) = -m**3 - 11*m**2 - m + 19. Let i be v(-10). Let q = i - -215/3. Factor q*a - 4/3 + 8/3*a**2 - 2*a**3.
-2*(a - 1)**2*(3*a + 2)/3
Let x(s) = 3*s - 40. Let o be x(14). Let l be (-2 + (-2)/(-1))/(-1). Let 1/3 - 1/3*y**o + l*y = 0. Calculate y.
-1, 1
Let f(w) be the first derivative of 0*w + 0*w**2 - 1/3*w**4 + 2/3*w**5 + 1 + 0*w**3. Factor f(g).
2*g**3*(5*g - 2)/3
Let a = 6 + -6. Determine l so that a*l**2 - 4*l**2 + 3*l + l**2 = 0.
0, 1
Let y(o) = 3*o**2. Let z be y(-1). Find a, given that -3*a**3 + 0*a**2 + a**z + 2*a**2 = 0.
0, 1
Let g(a) be the third derivative of 0*a**3 + 0 - 1/240*a**5 + 3*a**2 + 0*a + 0*a**4. Factor g(f).
-f**2/4
Let p be (-19)/38*(11/(-7) - -1). Solve -p*w**3 - 2/7*w**2 + 0*w + 0 = 0 for w.
-1, 0
Let j = -3 - -1. Let h be (4 + 0)/(j/(-1)). Factor -4*f**2 + 6 + 2*f**2 + 4*f - 4 + 4*f**h.
2*(f + 1)**2
Let s(z) = -2*z**2 + z + 2. Let f(j) = -j**2 + 3*j + 2*j + 1 - 4*j. Let q(h) = f(h) - s(h). Factor q(c).
(c - 1)*(c + 1)
Factor 1/7 + 1/7*x**5 - 2/7*x**2 + 1/7*x + 1/7*x**4 - 2/7*x**3.
(x - 1)**2*(x + 1)**3/7
Let w(c) be the third derivative of c**2 + 0 + 0*c**5 + 0*c**3 - 2/525*c**7 + 1/300*c**6 + 1/840*c**8 + 0*c + 0*c**4. What is l in w(l) = 0?
0, 1
Find k such that 8*k**5 + 2*k - 6*k**4 + 21*k**2 - 10*k**3 - 40*k**2 + 25*k**2 = 0.
-1, -1/4, 0, 1
Let u(q) = q**2 + 4*q - 1. Let k be u(-3). Let g be 12/k - (0 + -8). What is b in 0*b**2 + 1/4*b + 1/4*b**g + 0*b**4 - 1/2*b**3 + 0 = 0?
-1, 0, 1
Find q such that 6*q**2 + 5*q**2 - 86*q**3 - 35*q + 85*q**3 + 25 = 0.
1, 5
Factor -8/7*o + 0*o**3 + 3/7 - 1/7*o**4 + 6/7*o**2.
-(o - 1)**3*(o + 3)/7
Let n = -3967/7 + 565. Let i = n + 31/14. Factor z**3 - 3/2*z**4 + z**2 - 3/2*z + i*z**5 + 1/2.
(z - 1)**4*(z + 1)/2
Suppose -i + 3*c = 9, 9*i - 3*c + 27 = 14*i. Factor 0*m + 0 + 1/3*m**i + 2/3*m**2.
m**2*(m + 2)/3
Let p(b) = 5*b**3 - b**2 - 4*b - 6. Let z(a) = a**3 - a - 1. Let v be (-2)/10*(-8 + 3). Let x(j) = v*p(j) - 6*z(j). Factor x(q).
-q*(q - 1)*(q + 2)
Let r(b) = 10*b**4 - 51*b**3 + 46*b**2 - 7*b + 2. Let w(c) = 9*c**4 - 51*c**3 + 45*c**2 - 6*c + 3. Let n(z) = 3*r(z) - 2*w(z). Factor n(g).
3*g*(g - 3)*(g - 1)*(4*g - 1)
Let a(i) be the third derivative of -2*i**7/525 + i**6/300 + i**5/50 - i**4/60 - i**3/15 + 3*i**2. Determine q, given that a(q) = 0.
-1, -1/2, 1
Let l(r) be the first derivative of -5*r**4/4 - 20*r**3/3 - 25*r**2/2 - 10*r + 2. Determine z, given that l(z) = 0.
-2, -1
Let s(v) be the third derivative of 19*v**5/30 + 65*v**4/24 - 43*v**3/6 + v**2. Let b(y) = -25*y**2 - 43*y + 29. Let l(f) = -7*b(f) - 5*s(f). Factor l(z).
-3*(z + 2)*(5*z - 2)
Let j = -10 + 12. Suppose 6*u - j*u = 0. Factor -1/2 + u*h + 1/2*h**2.
(h - 1)*(h + 1)/2
Let k(d) be the third derivative of d**5/570 + 5*d**4/228 - d**2 + 2*d. Solve k(l) = 0.
-5, 0
What is u in -72*u**2 - 512/3 - 192*u - 9*u**3 = 0?
-8/3
Suppose f + 23 = 3*n, 8 - 2 = 2*n + 4*f. Let a be (0/(-2))/(n + -8). Factor a - 1/4*p**2 + 1/4*p**3 + 0*p.
p**2*(p - 1)/4
Let p(z) = 9*z**2 + z**3 + 0*z**3 + 8*z - 4*z**3 - 2*z**3 + 6. Let l(j) = -6*j**3 + 10*j**2 + 9*j + 7. Let k(w) = 6*l(w) - 7*p(w). Factor k(m).
-m*(m + 1)*(m + 2)
Let r(c) be the third derivative of c**6/420 - 11*c**5/210 + 5*c**4/12 - 25*c**3/21 + 4*c**2. Suppose r(i) = 0. What is i?
1, 5
Suppose 16 = -4*j - 0*j. Let p be 2/(-2)*j - 2. Suppose 0 + 0 - q**2 + 3*q**p - 2*q = 0. What is q?
0, 1
Let n(j) be the first derivative of j**7/3780 + j**6/1620 - j**5/540 - j**4/108 - 2*j**3/3 - 2. Let i(w) be the third derivative of n(w). Factor i(a).
2*(a - 1)*(a + 1)**2/9
Let r(z) = 3*z**5 + 6*z**4 + 3*z**3 + 6*z**2 - 6*z - 6. Let t(y) = -6*y**5 - 11*y**4 - 5*y**3 - 11*y**2 + 11*y + 11. Let u(k) = -11*r(k) - 6*t(k). Factor u(s).
3*s**3*(s - 1)*(s + 1)
Let q(m) = 2*m**3 + m**2 - 7. Let w(t) = -3*t**3 - 2*t**2 + 11. Let h(o) = -7*q(o) - 5*w(o). Let b(i) be the first derivative of h(i). Factor b(l).
3*l*(l + 2)
Let c(s) be the second derivative of 0*s**2 + 0 - 2*s + 0*s**3 - 7/10*s**5 - 1/3*s**4 - 1/15*s**6 + 10/21*s**7. Solve c(k) = 0 for k.
-1/2, -2/5, 0, 1
Let l = 118 + -116. Let h(m) be the third derivative of 0*m**3 - 1/84*m**8 + 0 - 1/24*m**5 - l*m**2 + 0*m - 1/21*m**7 - 11/160*m**6 - 1/96*m**4. Factor h(r).
-r*(r + 1)**2*(4*r + 1)**2/4
Let h(z) = -10*z**2 - 5*z - 5. Let x(w) = 3*w**2 + 2*w + 2. Let y(s) = 2*h(s) + 7*x(s). Suppose y(v) = 0. What is v?
-2
Let u = -5 - -10. Let n(z) = z**3 + 3*z**2 - 2*z - 4. Let s(h) = -h**3 - 3*h**2 + h + 3. Let c(j) = u*s(j) + 4*n(j). Suppose c(p) = 0. Calculate p.
-1
Suppose -4*w = 442 + 322. Let n = w - -1339/7. Factor 0 - n*d - 4/7*d**2 - 2/7*d**3.
-2*d*(d + 1)**2/7
Let m(g) be the first derivative of -1/18*g**4 - 4 - 2/9*g**3 - 2/9*g - 1/3*g**2. Determine f so that m(f) = 0.
-1
Let t(l) = -l**2 + 4*l - 3. Let n be t(2). Suppose n = -3*q + 7. Determine a so that -3*a**q + a**3 + 0*a**2 + 4*a**2 = 0.
-1, 0
Suppose 47 = 9*y + 11. Suppose 1/3 - t**y - 2/3*t**3 - 1/3*t**5 + 2/3*t**2 + t = 0. Calculate t.
-1, 1
Let 2/3*w - 2/9*w**3 + 0*w**2 - 4/9 = 0. What is w?
-2, 1
Suppose -1/3*b**2 - 8/3*b - 16/3 = 0. What is b?
-4
Let g(j) be the third derivative of -2*j**7/105 + j**5/5 - j**4/3 - 18*j**2. Factor g(u).
-4*u*(u - 1)**2*(u + 2)
Factor -1/6*m**3 - 5/3*m + 0 + 11/6*m**2.
-m*(m - 10)*(m - 1)/6
Let z(j) be the second derivative of j - 25/189*j**7 + 0*j**2 - 2/9*j**4 - 4/27*j**3 + 0 + 2/9*j**6 + 11/90*j**5. Factor z(t).
-2*t*(t - 1)**2*(5*t + 2)**2/9
Let s(r) be the third derivative of 0*r + 1/36*r**4 + 0 + 0*r**3 - 6*r**2 - 1/180*r**5 - 1/360*r**6. Factor s(c).
-c*(c - 1)*(c + 2)/3
Factor -1/2*j**4 + 0*j**2 + 0 - j**3 + 0*j.
-j**3*(j + 2)/2
Let o(w) be the first derivative of 2*w**5/35 + w**4/7 - 2*w**2/7 - 2*w/7 + 31. Factor o(m).
2*(m - 1)*(m + 1)**3/7
Let f = -8 - -10. Find j such that j + 4*j**3 + 2*j - 7*j**4 - 12*j**2 + 19*j**4 - 9*j**5 + f*j**3 = 0.
-1, 0, 1/3, 1
Suppose 4*o = -14 - 10. Let f be 34/40 + o/24. Factor 9/5*r**2 - 9/5*r - f*r**3 + 3/5.
-3*(r - 1)**3/5
Let 1/7*i**5 - 2/7*i**3 - 2/7*i**2 + 1/7*i**4 + 1/7 + 1/7*i = 0. What is i?
-1, 1
Let 0 - 6/11*j**2 + 2/11*j**3 + 4/11*