 Factor -2*d**5 + 4*d**5 - 2*d**4 + 4*d**y + 0*d**5 - 2*d**4 - 2*d.
2*d*(d - 1)**3*(d + 1)
Factor 4/3*k**3 + 0*k**2 + 14/3*k**4 + 0 + 10/3*k**5 + 0*k.
2*k**3*(k + 1)*(5*k + 2)/3
Factor 2*o + 2 - 1/2*o**3 - 1/2*o**2.
-(o - 2)*(o + 1)*(o + 2)/2
Let q be (0 + 0)/(-1) - -15. Suppose 0 = s + 4*s - q. Suppose -9*g**3 + 11*g**s - g + g**5 - 2*g**5 = 0. What is g?
-1, 0, 1
Let j(l) be the first derivative of -l**6/6 - 2*l**5/5 + 2*l**3/3 + l**2/2 - 14. Factor j(n).
-n*(n - 1)*(n + 1)**3
Let 2 - 3 + 6 - v**2 - 4*v = 0. What is v?
-5, 1
Let v be -6 - (-2 - (1 - -5)). Factor 0*w**v - 2/11*w**5 + 0 + 2/11*w**4 + 0*w + 0*w**3.
-2*w**4*(w - 1)/11
Suppose z + z - 1272 = 0. Let c = z + -3168/5. Factor -16/5 - c*u**2 + 24/5*u + 2/5*u**3.
2*(u - 2)**3/5
Let m(o) = -o**2 + 5*o - 4. Let p be m(4). Suppose z**2 - 5*z**2 + p + 0 = 0. Calculate z.
0
Let d(u) = 7*u**3 - u**2 + 2*u - 1. Let h be d(1). Let c be 5/(-45) - h/(-9). Find j such that 2/3*j + 4/3*j**2 - c = 0.
-1, 1/2
Let d(g) = 3*g**3 - 3*g**2 - 15*g - 20. Let o(k) = k**3 - k**2 - 5*k - 7. Let v(j) = 4*d(j) - 11*o(j). Factor v(r).
(r - 3)*(r + 1)**2
Let f(j) be the third derivative of j**6/120 - j**5/20 + j**4/8 - j**3/6 - 7*j**2. Factor f(c).
(c - 1)**3
Suppose -j = 5*u - 13, 1 = -3*j - 5. Factor 2*w**3 + 3*w**u - 3*w**3 + 2*w**2.
2*w**2*(w + 1)
Let r(o) be the second derivative of o**7/420 + o**6/60 + o**5/20 + o**4/12 + o**3/3 - 3*o. Let p(j) be the second derivative of r(j). Factor p(k).
2*(k + 1)**3
Let v(s) be the third derivative of -1/90*s**5 - 9*s**2 + 2/9*s**3 + 0*s + 0 - 1/36*s**4. Factor v(k).
-2*(k - 1)*(k + 2)/3
Let c(y) = 15*y**3 - 5*y**2 - 10*y + 15. Let p(d) = -8*d**3 + 2*d**2 + 5*d - 8. Let v(n) = -3*c(n) - 5*p(n). Factor v(z).
-5*(z - 1)**2*(z + 1)
Let b(k) be the first derivative of 1/4*k**4 - 1 - 1/2*k**2 - k + 1/3*k**3. Factor b(j).
(j - 1)*(j + 1)**2
Let t(m) be the first derivative of -1/2*m - 1/8*m**4 - 2 - 1/2*m**3 - 3/4*m**2. Solve t(x) = 0 for x.
-1
Let g = 105 + -521/5. Find f, given that 4/5*f - g*f**3 - 2/5 - 6/5*f**4 + 8/5*f**2 = 0.
-1, 1/3, 1
Let p(v) be the first derivative of -v**5/5 + v**4/4 + 2*v**3/3 - 5. Let p(u) = 0. What is u?
-1, 0, 2
Let -36*u**4 + 90*u**5 - 7 + 40*u**2 + 10*u - 10 + 13 - 100*u**3 = 0. What is u?
-1, -1/3, 1/3, 2/5, 1
Let t(u) be the third derivative of -u**8/672 - u**7/210 - 21*u**2. Factor t(r).
-r**4*(r + 2)/2
Let w(y) = -y. Let d(f) = -2*f**3 + 4*f**2. Let i(b) = -d(b) - 2*w(b). Suppose i(x) = 0. Calculate x.
0, 1
Let v(h) be the second derivative of 0*h**2 - 3*h - 3/4*h**5 + 0 + 1/4*h**4 + h**3 - 1/10*h**6 + 3/14*h**7. What is k in v(k) = 0?
-1, -2/3, 0, 1
Find d, given that 0*d - 1/6*d**5 - 1/2*d**4 - 1/2*d**3 - 1/6*d**2 + 0 = 0.
-1, 0
Let k(v) be the second derivative of 2*v + 0 - 1/16*v**4 - 1/8*v**3 - 1/8*v**2 - 1/80*v**5. Determine u, given that k(u) = 0.
-1
Suppose 0 = -2*h - 0*s - 2*s - 14, -4 = -4*h + 4*s. Let t be 7/h + 1 - -2. Factor 0 + 2/3*j - 2*j**2 + 2*j**3 - t*j**4.
-2*j*(j - 1)**3/3
Suppose -2*s**4 + 0*s - 5/2*s**3 - 1/2*s**5 - s**2 + 0 = 0. Calculate s.
-2, -1, 0
Let f(w) be the first derivative of 2*w**6 - 16*w**5/5 + w**4 - 4. Factor f(c).
4*c**3*(c - 1)*(3*c - 1)
Let q(m) = -2*m**4 + 11*m**3 - 7*m**2 + m - 3. Let c(a) = a**3 + a**2 - a - 1. Let r(l) = 3*c(l) - q(l). Suppose r(u) = 0. Calculate u.
0, 1, 2
Let b(f) = 10*f**2 + 7*f + 7. Let h(v) = 5*v**2 + 4*v + 4. Let g(x) = 4*b(x) - 7*h(x). Let g(m) = 0. What is m?
0
Let v(g) be the first derivative of -3 + 1/24*g**4 - 4*g - 1/12*g**3 + 0*g**2. Let w(m) be the first derivative of v(m). Suppose w(r) = 0. What is r?
0, 1
Let m(x) be the first derivative of x**6/12 + 7*x**5/20 + 3*x**4/16 - 2. Factor m(o).
o**3*(o + 3)*(2*o + 1)/4
Let k(b) be the second derivative of 1/9*b**4 + 1/3*b**2 - 5/18*b**3 - 1/60*b**5 - 3*b + 0. Solve k(n) = 0 for n.
1, 2
Let n(y) be the third derivative of y**5/540 + y**4/108 + y**3/54 - 6*y**2. Solve n(d) = 0 for d.
-1
Let b(k) be the third derivative of 0 - k**4 + 0*k + 1/20*k**6 - 1/105*k**7 + 1/15*k**5 + 4*k**2 + 8/3*k**3. Factor b(f).
-2*(f - 2)**2*(f - 1)*(f + 2)
Let q be ((-7)/126)/((-20)/6). Let p(g) be the second derivative of -q*g**5 + 0 + 0*g**2 - 1/36*g**4 + 2*g + 1/9*g**3. Determine u so that p(u) = 0.
-2, 0, 1
Let m(o) be the second derivative of 1/3*o**4 - 4/135*o**6 + 11/27*o**3 + 0 + 4/45*o**5 - 1/63*o**7 + 4*o + 2/9*o**2. Let m(g) = 0. Calculate g.
-1, -1/3, 2
Factor -2/7*p**3 + 6/7*p + 0 + 4/7*p**2.
-2*p*(p - 3)*(p + 1)/7
Let o be 2 + 44/198 + 4/(-18). Find c, given that 9/4 - 3/2*c + 1/4*c**o = 0.
3
Let o(t) be the second derivative of -3/20*t**5 + 0*t**2 + 0 - 1/4*t**4 + 1/10*t**6 - t + 1/2*t**3. Determine d so that o(d) = 0.
-1, 0, 1
Factor -1/2*l + 0 - 1/4*l**2.
-l*(l + 2)/4
Suppose -28 = -4*x + 2*b, -2*x + 3*b + 2 = -b. Let l(k) be the first derivative of 2*k + x*k**3 - 21*k**3 + 6*k**2 + 1 + 0 - 3*k. Find r, given that l(r) = 0.
1/6
Suppose -2*t + 0*v - 3*v = -21, 2*t + 4 = 2*v. Suppose l**4 - 4*l**t + l**4 + 2*l - 2*l = 0. Calculate l.
0, 2
Factor 4*p**2 - 1 - 2*p**3 + 0*p**2 + 1.
-2*p**2*(p - 2)
Suppose 0 = -0*f - 4*f + 16. Factor o**f + 0*o**4 + 49 - 7*o - 47 - 5*o**3 + 9*o**2.
(o - 2)*(o - 1)**3
Let d = 100/3 + -33. Factor 0*p + d*p**2 + 0.
p**2/3
Let z = -17/15 + 127/15. Let -z*f**2 - 8/3 - 8*f - 2*f**3 = 0. What is f?
-2, -1, -2/3
Suppose -5*g = -4*g + 3*m - 8, 4*m + 2 = 5*g. Let p = g + 0. Factor 0 + 1/4*a**4 + 0*a - 1/4*a**p + 0*a**3.
a**2*(a - 1)*(a + 1)/4
Let v be (20/(-2))/(9/(-3)). Determine d so that 14/3*d**4 + 0 + 2*d**3 + 4/3*d - 14/3*d**2 - v*d**5 = 0.
-1, 0, 2/5, 1
Let l(w) = -w**3 + w**2 - 1. Let j = 5 + -1. Suppose j*c + c - 20 = 0. Let m(t) = 5*t**3 - t**2 - 3*t + 1. Let x(s) = c*l(s) + 2*m(s). Factor x(y).
2*(y - 1)*(y + 1)*(3*y + 1)
Let i = 1237/3 - 412. Find b, given that 0*b**3 + 1/6*b**5 - 1/6*b - 1/3*b**4 + 0 + i*b**2 = 0.
-1, 0, 1
Let d(h) = h**2 + 3*h + 2. Let v be d(-3). Factor -2/3 - 2/3*i + 2/3*i**v + 2/3*i**3.
2*(i - 1)*(i + 1)**2/3
Let q(j) be the first derivative of j**3 - 6*j**2 + 12*j + 2. Solve q(g) = 0 for g.
2
Let g(p) be the first derivative of -9*p**5/40 + 5*p**4/8 + 2*p**3/3 - p**2 + 4*p + 3. Let n(f) be the first derivative of g(f). Factor n(x).
-(x - 2)*(3*x - 1)*(3*x + 2)/2
Let z(a) be the second derivative of 0 - 1/13*a**3 - 1/13*a**2 - 2*a - 1/39*a**4. Suppose z(i) = 0. Calculate i.
-1, -1/2
Let -3*d + 36 - 61 + 3*d**2 - 4*d**2 + 13*d = 0. What is d?
5
What is z in 6*z**4 + 20*z**2 + 16*z**3 + 6*z - 4*z**4 + 2*z + 2*z**4 = 0?
-2, -1, 0
Let r = 1 + 1. Suppose 3*u - u - u**r - 2*u = 0. What is u?
0
Let k(u) be the second derivative of u**7/2940 - u**6/315 + u**5/84 - u**4/42 - u**3/6 - 3*u. Let f(c) be the second derivative of k(c). Factor f(t).
2*(t - 2)*(t - 1)**2/7
Let p = 1153 - 4611/4. Find d such that -1/4*d + 0 + 1/4*d**3 - 1/4*d**4 + p*d**2 = 0.
-1, 0, 1
Let z(n) be the second derivative of -3*n**5/160 + n**4/16 - 14*n. Suppose z(t) = 0. What is t?
0, 2
Let w(s) be the third derivative of -14/45*s**5 + 1/9*s**4 + 0 + 49/180*s**6 + 0*s**3 - 8*s**2 + 0*s. What is h in w(h) = 0?
0, 2/7
Let k(b) be the second derivative of -b**4/12 - b**3/3 + 3*b**2/2 + b. Find h, given that k(h) = 0.
-3, 1
Suppose -3*v + 2*k = -4, -2*k - 9 = 4*v - 5. Determine w so that -1/2*w**2 + v*w + 1/2 = 0.
-1, 1
Suppose 2*t - 10 = -2. Factor 8*p**3 + p**t + p**5 - 8*p**3.
p**4*(p + 1)
Let m = 584/55 + -108/11. Factor d**3 - 1/5*d**4 + 0 - 8/5*d**2 + m*d.
-d*(d - 2)**2*(d - 1)/5
Let z(k) be the second derivative of -3*k**5/20 + k**4/2 + k**3/2 - 3*k**2 + 25*k. Solve z(v) = 0 for v.
-1, 1, 2
Let o(v) = v**3 + v. Let i(z) = 208*z**3 - 210*z**2 + 80*z - 8. Let g(n) = i(n) - 8*o(n). Factor g(c).
2*(4*c - 1)*(5*c - 2)**2
Let g(p) be the first derivative of p**6/27 - 2*p**5/9 + p**4/3 + 8*p**3/27 - 8*p**2/9 - 10. Factor g(j).
2*j*(j - 2)**3*(j + 1)/9
Let l(d) be the first derivative of -d**3/4 + 7*d**2/4 + 5*d/4 + 6. Factor l(o).
-(o - 5)*(3*o + 1)/4
Let p be (-2)/6 + 48/(-18). Let k be p*3/(-126)*4. Let 0 + 4/7*j**4 - 2/7*j**3 - k*j**5 + 0*j + 0*j**2 = 0. Calculate j.
0, 1
Let q(c) be the second derivative of c + 0*c**2 + 1/180*c**6 - 1/120*c**5 - 1/3*c**3 - 1/24*c**4 + 0. Let n(r) be the second derivative of q(r). Factor n(i).
(i - 1)*(2*i + 1)
Let g be 3/6*0 - -19. Suppose -4*l - 4*r + 4 = 0, -5*r - g 