 + s**2 - m*s**5 - s**4 + s**3 + 0*s**3.
-s**2*(s - 1)*(s + 1)**2
Let r = -337 - -339. Suppose 5*k + 2*j - 35 = -3*j, -k - 13 = -4*j. Factor 0 - 4/9*w**r + 2/9*w**k + 0*w + 2/3*w**4.
2*w**2*(w + 1)*(3*w - 2)/9
Let a(u) be the first derivative of -u**5/5 - u**4/4 + 5. Factor a(x).
-x**3*(x + 1)
Let n(g) = -g**3 - 10*g**2 - 3*g + 7. Let i(t) = 3*t**2 + t - 2. Let d(f) = -21*i(f) - 6*n(f). Solve d(s) = 0.
-1/2, 0, 1
Let y(r) be the second derivative of -r**8/224 + r**7/140 + r**6/80 - r**5/40 + r**2/2 - 4*r. Let u(b) be the first derivative of y(b). Solve u(v) = 0.
-1, 0, 1
Suppose -6 = 3*f, -4*r + 0*r - 10 = -5*f. Let t be 6/r*(-25)/3. Factor -4/3 + t*k - 18*k**2.
-2*(3*k - 1)*(9*k - 2)/3
Suppose 2*c = -c. Let l be c/(0 + -1) - 0. Factor -6/7*h**4 + l*h - 4/7*h**3 + 0*h**2 + 10/7*h**5 + 0.
2*h**3*(h - 1)*(5*h + 2)/7
Let o(f) = 4*f**3 + 10*f**2 - 6*f - 4. Let p(x) = x**4 + 12*x**3 + 31*x**2 - 19*x - 11. Let z(b) = 7*o(b) - 2*p(b). Suppose z(u) = 0. Calculate u.
-1, 1, 3
Let w(x) be the first derivative of 1/24*x**4 - 4 - 5/12*x**2 - 1/30*x**5 + 1/6*x**3 + 1/3*x. Suppose w(n) = 0. Calculate n.
-2, 1
Let f(g) be the third derivative of -g**6/420 + g**5/105 - 5*g**2. Suppose f(n) = 0. What is n?
0, 2
Let j(v) be the third derivative of -v**6/360 - v**5/180 + v**4/36 - 3*v**2. Factor j(a).
-a*(a - 1)*(a + 2)/3
Let c(r) be the second derivative of -r**5/190 + r**4/19 - 3*r**3/19 - 24*r. Factor c(m).
-2*m*(m - 3)**2/19
Factor -144/5 - 3/5*z**3 - 24*z - 33/5*z**2.
-3*(z + 3)*(z + 4)**2/5
Let h be 4/10 + (66/10 - 7). Factor -2/3*y + h + 11/3*y**2 - 16/3*y**3 + 7/3*y**4.
y*(y - 1)**2*(7*y - 2)/3
Let o(a) = a**5 + 5*a**3 - 3*a**2 + 3. Suppose -3*i + 8 = -1. Let d(l) = -l**5 - 9*l**3 + 5*l**2 - 5. Let j(z) = i*d(z) + 5*o(z). Factor j(t).
2*t**3*(t - 1)*(t + 1)
Let k(z) be the third derivative of z**8/20160 - z**6/720 + z**5/30 + z**2. Let i(h) be the third derivative of k(h). Factor i(c).
(c - 1)*(c + 1)
Factor 3*o - 3/2 - 3/2*o**2.
-3*(o - 1)**2/2
Let a(k) be the second derivative of 0 + 0*k**2 + 1/10*k**5 + 1/6*k**4 + 9*k - 1/3*k**3 - 1/15*k**6. Find r, given that a(r) = 0.
-1, 0, 1
Suppose q - 71 = -69. Factor 0*k + q*k**3 + 1/2*k**2 + 0.
k**2*(4*k + 1)/2
Factor -16/3*s - 8/3 - 2*s**2 + 2/3*s**4 + 4/3*s**3.
2*(s - 2)*(s + 1)**2*(s + 2)/3
Let j be ((-3)/6 - 0)*-2. Let g(r) be the first derivative of 0*r + 4/35*r**5 - 5/21*r**6 - 4/21*r**3 + 0*r**2 - j + 5/14*r**4. Solve g(q) = 0 for q.
-1, 0, 2/5, 1
Let h(k) be the third derivative of -k**8/23520 + k**6/840 + k**5/210 + 7*k**4/24 + 5*k**2. Let f(l) be the second derivative of h(l). Factor f(t).
-2*(t - 2)*(t + 1)**2/7
Factor 4/3*k - 1/3*k**2 - 4/3.
-(k - 2)**2/3
Determine m, given that 0*m + 0 + 0*m**2 - 8/3*m**3 - 1/6*m**5 - 4/3*m**4 = 0.
-4, 0
Factor -6/5 - 2/5*p**2 - 2/5*p**3 + 2*p.
-2*(p - 1)**2*(p + 3)/5
Factor 0 - 8/9*a**3 + 4/3*a**4 + 0*a - 4/9*a**5 + 0*a**2.
-4*a**3*(a - 2)*(a - 1)/9
Let j(b) = b + 17. Let m be j(-13). Let n(h) be the first derivative of -1/10*h**5 - 5/16*h**m + 3 - 1/4*h**3 + 1/4*h + 1/8*h**2. What is p in n(p) = 0?
-1, 1/2
Let o = 497/9 - 55. Let i(q) be the first derivative of -o*q**3 + 0*q + 3 + 0*q**2. Find b such that i(b) = 0.
0
Let v(k) = 6 + 1 - 14 - 2*k. Let c be v(-6). Factor 0 + 2/7*r**4 + 0*r - 2/7*r**3 - 2/7*r**2 + 2/7*r**c.
2*r**2*(r - 1)*(r + 1)**2/7
Let z(y) be the first derivative of 0*y - 2/15*y**5 + 1/2*y**4 - 3 - 2/3*y**3 + 1/3*y**2. Let z(l) = 0. Calculate l.
0, 1
Let y(t) be the third derivative of -2*t**7/525 - t**6/150 + t**5/75 + t**4/30 + 3*t**2. What is k in y(k) = 0?
-1, 0, 1
Let u(x) = -x**3 - 8*x**2 + 1. Let l be u(-9). Let 88 - 6*n**2 - 3*n - l - 3*n**2 = 0. What is n?
-1, 2/3
Find z such that 0*z + 1/3*z**3 + 0*z**2 - 1/3*z**4 + 0 = 0.
0, 1
Suppose 46 = 4*a - 2. Suppose a = 4*o - 0. Factor -3*i**3 - 7*i**5 - o*i**2 + 3*i**4 + 0*i**4 + 10*i**5.
3*i**2*(i - 1)*(i + 1)**2
Suppose -4*n + 8 = -4*m, -5*m + 2*n = -m + 2. Find f such that -4*f + 4*f + 2*f**3 - 5*f**5 + 10*f**2 - 9*f**4 - m + 4*f - f = 0.
-1, 1/5, 1
Suppose 5*w - 1 = 14. Factor -2*v**w + 3*v**2 - v**3 + 2*v - 3*v**4 + v.
-3*v*(v - 1)*(v + 1)**2
Let n(s) = -s**3 + s - 2. Let j be n(-2). Let o = j + 2. Factor -8 - 4 + 12*h**3 - 12*h - o*h**3 - 3*h**4 + 9*h**2.
-3*(h - 2)**2*(h + 1)**2
Factor 2*h + 0*h - 10*h**2 + 8*h**2 - 4*h.
-2*h*(h + 1)
Let u = 4/3 - 17/15. Let c(q) be the first derivative of -u*q**5 - 1/3*q**3 + 0*q - 1/2*q**4 + 1 + 0*q**2. Factor c(g).
-g**2*(g + 1)**2
Let d(g) = -3*g**2 + 7*g - 4. Let p(y) = 1. Let l(b) = b**2 - 2*b + 3. Let n(m) = -l(m) + 2*p(m). Let c(x) = -2*d(x) + 7*n(x). Factor c(o).
-(o - 1)*(o + 1)
Let r be ((-48)/(-27))/(2/3). Factor 0*q + 2*q**2 + 2/3*q**3 - r.
2*(q - 1)*(q + 2)**2/3
Let u be -10*((22 - 22) + (-4)/30). Factor -u*l - 2/3*l**2 - 2/3.
-2*(l + 1)**2/3
Suppose 3*a - 6 + 0 = 0. Suppose -a*v = -v - 4. Let 1/4*b**5 + 3/4*b**v + 0 - 1/2*b - 3/4*b**2 + 1/4*b**3 = 0. Calculate b.
-2, -1, 0, 1
Let z(a) be the first derivative of 4*a**3/21 - 6*a**2/7 + 8*a/7 - 10. Factor z(u).
4*(u - 2)*(u - 1)/7
Let b be 5 + (-9 - -5) + 3. Factor -3*d**2 - 2/3*d**3 + 3*d**b + 0 + 2/3*d.
d*(d - 1)*(d + 1)*(9*d - 2)/3
Let v(m) be the third derivative of 1/15*m**5 + 1/60*m**6 + 0*m + 0*m**3 + 2*m**2 + 1/12*m**4 + 0. What is w in v(w) = 0?
-1, 0
Let i(a) be the first derivative of 3/20*a**5 + 0*a - 1/4*a**3 + 1/8*a**2 - 1/16*a**4 + 1. Suppose i(x) = 0. Calculate x.
-1, 0, 1/3, 1
Suppose -2*v + 4*j - 10 = 0, -5 = 4*v - 5*j + 3. Factor 4/3*y + 4/3 - 53/3*y**2 + 15*y**v.
(y - 1)*(5*y - 2)*(9*y + 2)/3
Let j(c) = c**4 + c**2 + 1. Let r(k) = -k**5 + 14*k**4 - 15*k**3 - 20*k**2 + 5. Let f(p) = -5*j(p) + r(p). Let f(d) = 0. What is d?
-1, 0, 5
Let v(q) be the third derivative of -5*q**8/336 - 6*q**2. Factor v(c).
-5*c**5
Suppose 2*y = 6*y - 160. Let p be (-4)/18 - y/(-18). Factor 3*l**p - 4*l**2 + 0*l - l.
-l*(l + 1)
Let f(d) = d**3 - 6*d**2 + 3*d - 18. Let k be f(6). Let i(a) be the third derivative of 0*a**4 + 0*a**3 - a**2 - 1/120*a**6 + 0*a - 1/60*a**5 + k. Factor i(u).
-u**2*(u + 1)
Let p(a) be the second derivative of 0 + 2/21*a**3 + 1/21*a**4 + 2*a + 0*a**2. Let p(f) = 0. What is f?
-1, 0
Let j = -14 - -19. Let k(n) = 3*n**3 - 6*n - 3. Let x(a) = 6*a**3 - 11*a - 5. Let c(s) = j*k(s) - 3*x(s). Suppose c(i) = 0. What is i?
-1, 0, 1
Factor 0*n + 0 - 2/19*n**3 + 4/19*n**2.
-2*n**2*(n - 2)/19
Factor -j + j**3 + 2*j + 102*j**2 - 104*j**2.
j*(j - 1)**2
Let z(a) be the first derivative of a**4/3 - 2*a**2 + 8*a/3 + 20. Find n such that z(n) = 0.
-2, 1
Let g(i) be the second derivative of -i**8/20160 + i**7/7560 + i**6/2160 - i**5/360 - 5*i**4/12 + 3*i. Let w(h) be the third derivative of g(h). Factor w(n).
-(n - 1)**2*(n + 1)/3
Let a(j) be the first derivative of -7*j**4 + 4*j**3/3 + 14*j**2 - 4*j + 12. Factor a(o).
-4*(o - 1)*(o + 1)*(7*o - 1)
Let g = -12 + 12. Let f(a) be the second derivative of g*a**3 + 1/80*a**5 + 0*a**2 + 2*a + 0 - 1/48*a**4. Factor f(v).
v**2*(v - 1)/4
Suppose 16 = -5*l + 36. Let n(v) be the third derivative of -2*v**2 + 0*v + 1/105*v**7 + 1/105*v**5 + 0*v**3 + 0*v**l + 0 + 3/140*v**6. Factor n(t).
2*t**2*(t + 1)*(7*t + 2)/7
Suppose 3*t - t - 6 = 0. Factor 3*x - 4 - x**t + 3*x - x**3.
-2*(x - 1)**2*(x + 2)
Let h(u) = -2*u**3 + 7*u**2. Let c(a) = -2*a**3 + 6*a**2. Let y(s) = 5*c(s) - 4*h(s). Factor y(o).
-2*o**2*(o - 1)
Suppose 12*a - 4*a - 24 = 0. Suppose 0 + 0*c - 1/4*c**2 - 1/4*c**a = 0. What is c?
-1, 0
Let q(k) be the third derivative of k**7/5040 + k**6/480 + k**5/120 + k**4/8 - 2*k**2. Let m(r) be the second derivative of q(r). Factor m(p).
(p + 1)*(p + 2)/2
Let l(s) be the second derivative of -4*s + 1/10*s**5 + 1/21*s**4 + 0 - 1/3*s**3 - 2/7*s**2. Factor l(w).
2*(w - 1)*(w + 1)*(7*w + 2)/7
Let x be (1 - -1) + (3 - 3). Factor -4*r**2 + r**x + r**2 + 2*r.
-2*r*(r - 1)
Let d be 1 + (-2)/8*4. Factor -1/2*j + d + j**2 - 1/2*j**3.
-j*(j - 1)**2/2
Suppose -6 + 21 = 3*c. Let b = c + 0. Factor -4*j**3 + b*j**3 + 3*j**2 - 4*j**3.
-3*j**2*(j - 1)
Let b = 1466 + -1464. Solve 0 - 3*o**3 - 2/3*o**5 - 5/3*o**b - 1/3*o - 7/3*o**4 = 0 for o.
-1, -1/2, 0
Suppose -2*g - 23 = -27. Factor -8/11*n**g - 2/11*n**5 + 4/11*n**4 + 0 - 8/11*n + 6/11*n**3.
-2*n*(n - 2)**2*(n + 1)**2/11
Let l be 12/(-28) - 1392/(-21). Let s = l + -65. Factor 0 - 2/7*w**5 + s*w**4 - 6/7*w**3 + 2/7