/60 + b**4/72 + b**3/9 + 5*b**2 + 1. Let j(c) be the second derivative of y(c). Factor j(d).
(d - 2)*(d - 1)*(d + 1)**2/3
Let g = -238 + 1668/7. Determine r so that 0 - g*r**2 + 2/7*r = 0.
0, 1
Let x(r) be the second derivative of r**6/40 - r**5/60 - r**4/12 + 3*r**2/2 + 4*r. Let k(h) be the first derivative of x(h). Solve k(t) = 0 for t.
-2/3, 0, 1
Let q(g) be the first derivative of -3*g**5/5 + 15*g**4/4 - 6*g**3 - 16. Determine v so that q(v) = 0.
0, 2, 3
Let o(x) be the third derivative of x**5/45 - 13*x**4/72 + x**3/6 + x**2. Suppose o(k) = 0. What is k?
1/4, 3
Let d(g) be the second derivative of g**7/70 - g**6/50 - 3*g**5/50 + g**4/10 + g**3/10 - 3*g**2/10 + 4*g. Factor d(z).
3*(z - 1)**3*(z + 1)**2/5
Let l(g) be the third derivative of -g**5/60 - g**4/24 + g**3/3 - 14*g**2. Determine v, given that l(v) = 0.
-2, 1
Let t = 1 - -14. Let h be 21/t*(-6)/(-21). Factor 2/5*f - h*f**2 + 0.
-2*f*(f - 1)/5
Let u(m) be the third derivative of -m**6/420 + m**4/28 - 2*m**3/21 - 3*m**2. Let u(l) = 0. Calculate l.
-2, 1
Let r(w) = -w**4 - 3*w**3 + w**2 - w - 4. Let f(q) = -3*q**4 - 8*q**3 + 3*q**2 - 3*q - 11. Let c(a) = -4*f(a) + 11*r(a). Factor c(t).
t*(t - 1)**2*(t + 1)
Let w(z) = -z**2 + z + 1. Let q(c) = 3*c**4 - 3*c**3 - 21*c**2 + 21*c + 18. Let j(p) = q(p) - 18*w(p). Factor j(d).
3*d*(d - 1)**2*(d + 1)
Let d = -761 - -764. Let 26/7*h**2 + 12/7*h**d + 24/7*h + 2/7*h**4 + 8/7 = 0. Calculate h.
-2, -1
Let o = 3 - 4. Let f = 2 - o. Factor -10*v**2 + 7*v**3 + 7*v**f - 2*v - 2*v.
2*v*(v - 1)*(7*v + 2)
Factor -12/5*z**2 - 12/5*z - 4/5 - 4/5*z**3.
-4*(z + 1)**3/5
Let k be (-64)/42*(-6)/8. Let j = 38 - 34. Find u such that 6/7*u**j - k + 16/7*u - 16/7*u**3 + 2/7*u**2 = 0.
-1, 2/3, 1, 2
Let u(h) = 2*h**3 - 3*h + 2. Let y be u(2). Suppose -y = 4*o, 2*j = o + 2 + 1. Factor g**2 + j*g**2 - 4 - 2*g + g**2.
2*(g - 2)*(g + 1)
Let b be 7/((-84)/(-8))*3. Suppose 0 = 15*u - 14*u - b. Factor 1/2*x**2 + 2*x + u.
(x + 2)**2/2
Suppose 4*y + 9*y = 26. Factor 2/7*b**3 - 2/7*b + 2/7 - 2/7*b**y.
2*(b - 1)**2*(b + 1)/7
Let o be 2 + 4 - 25/((-225)/(-54)). Let -5/4*q**5 + o - 35/4*q**2 - 45/4*q**3 - 5/2*q - 25/4*q**4 = 0. Calculate q.
-2, -1, 0
Suppose 0 = -11*t + t + 30. Let f(q) be the second derivative of 1/30*q**6 + 0*q**2 + t*q + 1/12*q**4 - 1/10*q**5 + 0*q**3 + 0. Factor f(d).
d**2*(d - 1)**2
Let c(r) be the third derivative of -r**8/840 + 2*r**7/525 - r**6/300 - 3*r**2. Factor c(f).
-2*f**3*(f - 1)**2/5
Let p(u) = u**2 + u + 1. Let s(h) = 9*h**2 + 6*h + 6. Let b(t) = 6*p(t) - s(t). Factor b(k).
-3*k**2
Let a be 2/(-8) + (-57)/(-4). Suppose 19*m = a*m. Factor m + 0*z - 2/5*z**3 - 2/5*z**2.
-2*z**2*(z + 1)/5
Let d(l) be the third derivative of 8*l**5/15 + 2*l**4/3 + l**3/3 - 29*l**2. Factor d(m).
2*(4*m + 1)**2
Let c(w) = 16 + 5*w - 6 - 4 + w**2. Let a be c(-4). Solve -1/2*o**2 + a*o - 2 = 0.
2
Let g(l) be the second derivative of -5/12*l**4 + 1/3*l**3 - 1/30*l**6 + 0 + 0*l**2 + 2*l + 1/5*l**5. Suppose g(d) = 0. Calculate d.
0, 1, 2
Determine k so that 1/4*k**2 + 0 + 0*k - 1/4*k**3 + 1/4*k**5 - 1/4*k**4 = 0.
-1, 0, 1
Let m be (-30)/18 - 3*94/(-126). Factor -m*y**3 + 4/7*y**5 + 4/7*y**4 - 4/7*y**2 + 0*y + 0.
4*y**2*(y - 1)*(y + 1)**2/7
What is v in 7*v**2 - 2*v**2 - 7*v - 20*v + 10 = 0?
2/5, 5
Let v be (-25)/300*(0 - 2). Let a(q) be the second derivative of 2*q + v*q**3 - 1/2*q**2 + 1/12*q**4 + 0 - 1/20*q**5. Find f such that a(f) = 0.
-1, 1
Determine j so that -3*j**2 + j**4 + 4*j - 6*j**2 + 3*j**4 - 4*j**3 + 5*j**2 = 0.
-1, 0, 1
Let u(k) be the third derivative of -k**5/15 - k**4/2 - k**2. Factor u(m).
-4*m*(m + 3)
Let j(z) be the first derivative of 2*z**3/21 + z**2/7 - 8. Let j(o) = 0. What is o?
-1, 0
Let o = -2355/7 - -337. Let 2/7*f**3 - o + 0*f**2 - 6/7*f = 0. What is f?
-1, 2
Let m(c) = -4*c**2 + 8*c - 3. Let s(l) = -3*l**2 + 7*l - 2. Let w(g) = -4*m(g) + 6*s(g). Factor w(h).
-2*h*(h - 5)
Let z(r) be the third derivative of 3*r**2 + 0*r**5 + 1/80*r**6 + 0*r**3 + 0 + 0*r - 1/4*r**4. Factor z(i).
3*i*(i - 2)*(i + 2)/2
Let n(q) = -81*q**4 - 9*q**3 + 72*q**2 - 57*q - 24. Let l(x) = -10*x**4 - x**3 + 9*x**2 - 7*x - 3. Let i(k) = -33*l(k) + 4*n(k). Factor i(t).
3*(t - 1)**2*(t + 1)*(2*t + 1)
Factor -4/5 + 3/5*z**2 + 1/5*z**3 + 0*z.
(z - 1)*(z + 2)**2/5
Suppose -9*y - 3*y**3 + 2 + 12*y - 3*y**2 + 1 = 0. What is y?
-1, 1
Let o(y) be the second derivative of -2*y**7/7 - 16*y**6/15 - 7*y**5/5 - 2*y**4/3 - 6*y. Suppose o(f) = 0. Calculate f.
-1, -2/3, 0
Let g = -6 + 12. Let b(a) = -4*a**2 + 17*a + 13. Let x(z) = 4*z + z**2 - 2*z**2 + 3 + 0*z**2. Let c(v) = g*b(v) - 26*x(v). Solve c(r) = 0 for r.
0, 1
Let f be 4 - ((-2)/(-3) - -3). Let k(u) be the first derivative of -1/9*u**3 + 2 + 0*u**2 + f*u. Factor k(r).
-(r - 1)*(r + 1)/3
Suppose 0 = 5*i + 44 - 54. Let o(c) be the first derivative of -1/4*c**i + 1/3*c**3 - 1/8*c**4 + 1 + 0*c. Factor o(z).
-z*(z - 1)**2/2
Determine n so that 942 + 5*n**3 - 5*n**4 - 942 = 0.
0, 1
Let r(b) be the third derivative of -1/20*b**5 - 1/2*b**3 + 0 + 0*b - 1/4*b**4 - 3*b**2. Solve r(x) = 0.
-1
Let r(u) = u**2 - 4*u - 3. Let a be r(5). Factor -4*s + 5*s**4 + 6*s - 2*s**3 + s**2 - 3*s**4 - 3*s**a.
2*s*(s - 1)**2*(s + 1)
Let o be 154/471 - (-1)/(-3). Let y = o + 323/1413. What is n in -14/9*n**2 - 10/9*n - 2/3*n**3 - y = 0?
-1, -1/3
Let u(s) be the second derivative of -s**8/23520 + s**7/4410 - s**6/2520 - s**4/6 + 2*s. Let x(l) be the third derivative of u(l). Find r, given that x(r) = 0.
0, 1
Factor 3*n**3 - 12*n**5 + 12*n**4 + 6*n**5 + 15*n**5.
3*n**3*(n + 1)*(3*n + 1)
Let o(b) be the first derivative of -b**9/3024 + b**8/840 - b**7/840 + b**3/3 - 2. Let x(w) be the third derivative of o(w). Find u, given that x(u) = 0.
0, 1
Let n(y) = y**3 + y + 0*y**3 - 11*y**2 + 0*y**3 - 12 + 3. Let f be n(11). What is w in -5*w + w**3 + w**4 + 4*w + w - f*w**2 = 0?
-2, 0, 1
Let j(g) = 2*g**4 - 12*g**3 - 8*g**2 + 12*g + 8. Let m(q) = q**4 - 13*q**3 - 7*q**2 + 13*q + 9. Let v(c) = -3*j(c) + 2*m(c). Find u, given that v(u) = 0.
-1, -1/2, 1, 3
Let l(w) be the first derivative of -3 - 2/45*w**5 + 0*w**2 - 1/9*w**4 - 2/27*w**3 + 0*w. Factor l(j).
-2*j**2*(j + 1)**2/9
Let v = 12 - 16. Let p(d) = -12*d**2 - 8*d + 12. Let s(n) = 12*n**2 + 7*n - 11. Let i(o) = v*s(o) - 3*p(o). Find g such that i(g) = 0.
-1, 2/3
Let j = -44 - -29. Let z = 15 + j. Factor 1/4*v**2 + z*v + 0.
v**2/4
Suppose 3*d + 0 + 15 = s, 0 = -3*s + d + 5. Suppose s*y - 6 = -2*y. Suppose 5*h**3 - h**4 - h**4 + h**5 - 4*h**y = 0. What is h?
0, 1
Suppose -4*l = -7 - 5. Let q be (20/(-8))/(l/(-6)). Factor 1/2*j**q - 1/2*j**4 + 1/2*j**2 - 1/2*j**3 + 0 + 0*j.
j**2*(j - 1)**2*(j + 1)/2
Let g(f) = 9*f**4 + 12*f**3 + 17*f**2 - f. Let p(w) = 14*w**4 + 18*w**3 + 26*w**2 - 2*w. Let x(v) = 8*g(v) - 5*p(v). Suppose x(q) = 0. What is q?
-1, 0
Let b(c) = -c**2 + 2*c + 8. Let j be b(4). Let v(q) be the second derivative of 1/42*q**4 - 1/70*q**5 + 0*q**3 + 0 + q + j*q**2. Find n, given that v(n) = 0.
0, 1
Let m(o) be the third derivative of 0*o**4 - 1/1344*o**8 + 0*o + 0*o**3 + 1/280*o**7 + 0 + 1/240*o**5 - 3*o**2 - 1/160*o**6. Factor m(c).
-c**2*(c - 1)**3/4
Let v(z) be the third derivative of -z**8/1176 - 2*z**7/735 - 2*z**2. Determine j so that v(j) = 0.
-2, 0
Let r = 6/67 + 55/134. Suppose 0*o - r*o**2 - 1/2*o**4 + 0 - o**3 = 0. What is o?
-1, 0
Let d(j) be the second derivative of -j**4/54 - 2*j**3/27 + 12*j. Factor d(i).
-2*i*(i + 2)/9
Suppose 9*r = 5*r. Suppose -g = -r*g. What is p in -p**3 - 4/3*p**4 + 0 + g*p + 1/3*p**2 = 0?
-1, 0, 1/4
Let x(z) be the third derivative of 1/540*z**6 + 7*z**2 + 0*z - 1/135*z**5 + 1/945*z**7 + 0 + 0*z**4 + 0*z**3. Factor x(o).
2*o**2*(o - 1)*(o + 2)/9
Find d such that -12/5*d**3 + 1/5*d + 0 - 4/5*d**2 = 0.
-1/2, 0, 1/6
Let r(g) be the second derivative of -g**7/210 - g**6/150 + g**5/50 - 8*g. Factor r(w).
-w**3*(w - 1)*(w + 2)/5
Let i be -3 - -10*6/2. Let b be (3/i)/(2/12). Suppose b*k**2 + 0 + 2/3*k = 0. What is k?
-1, 0
Let x be ((-1)/(-2))/(6/2628). Let t = x - 643/3. Suppose -4/3 - 2*p + 2*p**4 + t*p**3 + 2*p**2 = 0. What is p?
-1, 2/3
Let s = 7 - 5. Let b be (s - 3 - 1) + 2. Factor 1/2*w**3 + 1/2*w + b + w**2.
w*(w + 1)**2/2
Let l(f) = -f - 20 - f**2 + 0*f + 23. Let c be l(-2). Factor 2*j**4 - 5/2*j - j**2 + 1/2*j**5 + 2*j**3 - c.
(j - 1)*(j + 1)**3*(j + 2)/2
Let h = 