 - 1)
Factor 18/5*j**4 + 6*j**3 + 0 + 2/5*j + 14/5*j**2.
2*j*(j + 1)*(3*j + 1)**2/5
Let y(m) be the second derivative of -m**6/135 + m**5/90 + m**4/27 + 16*m. Solve y(c) = 0.
-1, 0, 2
Suppose 0 = t - 3*w - 15, 2*w + 2*w = 2*t - 22. Suppose -11 = -5*a - h - 1, -t*h + 8 = 4*a. Determine g so that 2*g**2 - 3*g**2 + g + 0*g**a = 0.
0, 1
Let t = 149 + -213. Let s be ((-1)/(-2))/((-28)/t). Factor -2/7*h**2 - 8/7*h - s.
-2*(h + 2)**2/7
Let b be 3/(-6)*2 - 3. Let x be 3*1/b - -1. Factor 1/4*a + 1/2*a**2 - 1/4*a**4 + x*a**5 - 1/2*a**3 - 1/4.
(a - 1)**3*(a + 1)**2/4
Suppose -2*k - 5*m + 15 = 3*k, -k + 4*m = -8. Solve 4*r + 5*r**4 - 5*r**3 - 5*r**2 + 0*r + k*r**5 - 5*r + 2*r**3 = 0 for r.
-1, -1/4, 0, 1
Determine r, given that 0 - 2*r**3 - 1/3*r - 4/3*r**4 - 4/3*r**2 - 1/3*r**5 = 0.
-1, 0
Let t be (-6)/(-15) + (-7)/5. Let k be (t/(-3) + 3)/1. Factor 4/3*w + 0 + k*w**2.
2*w*(5*w + 2)/3
Let r be 1 - (-1 + (-2 - 0)). Let d = 1 + r. Find p, given that -p**d + 0*p**2 + p**2 + 8*p**4 - 5*p**3 - 2*p**5 - p**5 = 0.
0, 1/2, 1
Let d = -8 + 10. Suppose 0*u**2 + 3*u**d - 2*u - 7*u**2 - u**3 - u**3 = 0. What is u?
-1, 0
Suppose 0 = 3*d + d. Suppose c = -0*v - 5*v + 27, 3*v - 4*c - 7 = d. Factor 2*y**3 + v*y**2 - y**4 - 4*y**2 + 0*y**3 + 4*y - 6*y.
-y*(y - 2)*(y - 1)*(y + 1)
Let t(i) be the second derivative of 11*i**7/210 - 2*i**6/15 - i**5/25 + 11*i**4/30 - 7*i**3/30 - i**2/5 + 20*i. Let t(h) = 0. Calculate h.
-1, -2/11, 1
Suppose -m - 2 = 3. Let y be ((-2)/m)/(2/10). Factor -3*k**3 + k**3 + 2*k + 2*k**4 + 0*k - y*k**2.
2*k*(k - 1)**2*(k + 1)
Let v(i) = -i**3 - 16*i**2 + 37*i + 18. Let s be v(-18). Determine u so that -1/2*u**4 + 0*u**2 + 0*u**3 + 0*u + s = 0.
0
Factor -g - 2 - 463*g**2 - 4 + g**3 + 469*g**2.
(g - 1)*(g + 1)*(g + 6)
Let t(d) be the first derivative of -d**3/2 - 9. Find o such that t(o) = 0.
0
Let d(r) be the second derivative of r**6/40 + 3*r**5/40 - r**3/4 - 3*r**2/8 - 12*r. Suppose d(b) = 0. Calculate b.
-1, 1
Suppose 9 = 2*h - 4*h - w, 5*w - 5 = 0. Let l(f) = f**2 + 3*f - 8. Let t be l(h). Factor 0*j**t + 0*j**4 - 3/5*j + 0 - 3/5*j**5 + 6/5*j**3.
-3*j*(j - 1)**2*(j + 1)**2/5
Let t = -131 + 921/7. Factor 6/7*v**2 + 0 - 4/7*v**3 + t*v.
-2*v*(v - 2)*(2*v + 1)/7
Find v such that -4 - v**4 - 4*v**3 + 8*v - 4*v + 12*v**2 - 7*v**4 = 0.
-1, 1/2, 1
Let j(g) be the second derivative of -g**4/12 - g**3/3 - g**2/2 + 16*g. Factor j(b).
-(b + 1)**2
Let l(c) be the third derivative of c**6/480 - c**5/240 - c**4/96 + c**3/24 + 6*c**2. Solve l(r) = 0.
-1, 1
Let g(z) be the second derivative of z**7/1120 + z**6/120 + z**5/32 + z**4/16 + z**3/2 - 2*z. Let o(b) be the second derivative of g(b). Factor o(n).
3*(n + 1)**2*(n + 2)/4
Let u be 2/8 - 576/(-1792). Factor 0 + 0*j - u*j**2.
-4*j**2/7
Suppose 4 = 4*w - 16. Let f(r) be the second derivative of 0*r**4 + 0 + 0*r**2 + r - 1/90*r**w - 1/135*r**6 + 0*r**3. Let f(j) = 0. What is j?
-1, 0
Let j(v) = -18*v**2 - 28*v + 4. Let a(i) = i - 1. Let x(d) = 4*a(d) - j(d). Factor x(w).
2*(w + 2)*(9*w - 2)
Suppose -2 = -p, 0*p = 5*v - 3*p + 26. Let z = v + 13/3. Find l such that -1/3*l**3 + z*l + 0 + 0*l**2 = 0.
-1, 0, 1
Let i = 669/2 + -334. Determine s, given that 0 + i*s**2 - s = 0.
0, 2
Let p(o) be the third derivative of o**6/90 - o**5/15 + o**4/6 + 7*o**3/6 + 8*o**2. Let f(k) be the first derivative of p(k). Factor f(w).
4*(w - 1)**2
Suppose 4*j - 7 = 2*w + 7, -2*w - 6 = -2*j. Let l be 1/j - (-19)/4. Suppose z**3 - 3*z**3 + 3*z + z**l - 2*z = 0. What is z?
-1, 0, 1
Let b be 6*((-1)/(-3) + 0). Let f(z) be the third derivative of 0 - 2*z**2 + 1/2*z**4 + 0*z - 3/20*z**5 + b*z**3. Factor f(q).
-3*(q - 2)*(3*q + 2)
Let s(g) = -4*g. Let m be s(-1). Let n be -2*1/m*-1. What is b in -1/2 + 0*b + n*b**2 = 0?
-1, 1
Suppose 6*u = u + 15. Let n be (u - 32/6) + 3. Factor -2/3*v - 2/3*v**2 + 2/3*v**3 + n*v**4 + 0.
2*v*(v - 1)*(v + 1)**2/3
Let f be (-378)/(-45) - 2/5. Factor -f*y + 2*y + 0*y**2 + 0*y**2 - 3*y**2.
-3*y*(y + 2)
Let z(o) = 3*o**4 - 3*o**2 + 6*o - 3. Let d(n) = 3*n**4 + n**3 - 3*n**2 + 7*n - 4. Let q(l) = 3*d(l) - 4*z(l). Find f, given that q(f) = 0.
-1, 0, 1
Suppose 3*n + 2 = 2*x + 4, 2*x = 2*n - 2. Factor 0 + 0*j**2 + n*j + 2/5*j**3.
2*j**3/5
Let r = -19 + 39/2. Let p(f) = -f**2 - 4*f. Let h be p(-4). Factor 2*a**5 + 0 + 0*a**4 + h*a - 3/2*a**3 - r*a**2.
a**2*(a - 1)*(2*a + 1)**2/2
Let n(d) = -d - 1. Let l be n(-3). Let v be 1 - (0 + 1/(-2)). Factor -3/2*m**l - 1/2 + v*m + 1/2*m**3.
(m - 1)**3/2
Let z(j) be the third derivative of 1/140*j**6 + 0*j**3 - 1/140*j**5 - 1/490*j**7 + 3*j**2 + 0*j + 0 + 0*j**4. Factor z(q).
-3*q**2*(q - 1)**2/7
Let u(d) be the first derivative of 49*d**4/12 - 7*d**3 + 9*d**2/2 - 4*d + 2. Let h(f) be the first derivative of u(f). Factor h(p).
(7*p - 3)**2
Let w(h) be the second derivative of -h**7/231 + h**6/165 + 3*h**5/110 - h**4/66 - 2*h**3/33 - 3*h. Suppose w(b) = 0. What is b?
-1, 0, 1, 2
Let l(o) be the third derivative of -o**5/75 + 2*o**4/15 - 8*o**3/15 - 7*o**2. Factor l(w).
-4*(w - 2)**2/5
Find g such that -24*g**2 - 16/3*g**3 - 18 - 36*g = 0.
-3/2
Let i = -1239/2 - -620. Factor -6*d - 2 - 13/2*d**2 - 3*d**3 - i*d**4.
-(d + 1)**2*(d + 2)**2/2
Let p(s) be the third derivative of -s**5/30 + s**4/4 - 7*s**2. Let p(j) = 0. Calculate j.
0, 3
Factor -4/5*i**2 - 2/5*i**5 + 0*i**3 + 4/5*i**4 + 0 + 2/5*i.
-2*i*(i - 1)**3*(i + 1)/5
Suppose 17*o + 8 = 13*o. Let a be -3 + o/(8/(-28)). Factor 0 - 2/9*h**3 - 2/9*h**2 + 2/9*h + 2/9*h**a.
2*h*(h - 1)**2*(h + 1)/9
Let h(t) = t**5 + t**3 - t**2 - t + 1. Let c(m) = 2*m**5 + 5*m**4 + 24*m**3 + 20*m**2 + 5*m + 3. Let u(r) = 5*c(r) - 15*h(r). Solve u(b) = 0.
-1, 0, 8
Solve 0 + 24/13*y + 2/13*y**2 = 0.
-12, 0
Let q(d) = -2*d - 12. Let l be q(-7). Let s = 11 - 11. Let s*n + 2/5 - 2/5*n**l = 0. What is n?
-1, 1
Let g = 232/3 + -77. What is o in -1/3 + 0*o + g*o**2 = 0?
-1, 1
Let t be 4*1 + (-4)/2. Let i(j) = 2*j**3 - 2*j**2 - 2*j + 1. Let m be i(t). Factor 0*h**m + 4*h**2 - h**5 - 4*h**2 - 2*h**4 + 2*h**2 + h.
-h*(h - 1)*(h + 1)**3
Let s(z) be the second derivative of -z**5/140 + z**4/84 + z**3/42 - z**2/14 - 7*z. Suppose s(x) = 0. Calculate x.
-1, 1
Suppose 2/5*s**3 + 6/5*s**2 + 0*s - 8/5 = 0. What is s?
-2, 1
Let z(t) = -5*t**2 + 8*t + 5. Let d(l) = 3*l**2 - 5*l - 3. Let o(u) = -8*d(u) - 5*z(u). Factor o(r).
(r - 1)*(r + 1)
Let y(i) be the first derivative of 4*i**5/5 - i**4 - 4*i**3 + 10*i**2 - 8*i + 43. Factor y(d).
4*(d - 1)**3*(d + 2)
Let f(b) be the second derivative of 3*b + 0 + 1/105*b**6 + 1/35*b**5 + 0*b**2 - 2/21*b**3 - 1/42*b**4. Find x, given that f(x) = 0.
-2, -1, 0, 1
Factor -10*p**5 + 5*p**3 - 5*p**4 + 13*p**4 - 3*p**3.
-2*p**3*(p - 1)*(5*p + 1)
Let c(o) be the third derivative of o**6/180 - o**5/90 - o**4/18 + 12*o**2. Factor c(x).
2*x*(x - 2)*(x + 1)/3
Let t(r) = 4*r**2 - 2*r**2 - 4*r**2 + 3*r**2. Let m(g) = 3*g**2 - 16*g + 4. Let b(h) = m(h) + 4*t(h). Factor b(k).
(k - 2)*(7*k - 2)
Let m(f) = -7 + 9*f**3 - f**5 + 6*f**5 + 9*f**2 - 2. Let x(k) = -k**5 - 2*k**3 - 2*k**2 + 2. Let h(s) = -2*m(s) - 9*x(s). Solve h(a) = 0 for a.
0
Let z(t) be the second derivative of -2*t**7/105 + 8*t**6/75 - t**5/5 + 2*t**4/15 + 10*t. Factor z(k).
-4*k**2*(k - 2)*(k - 1)**2/5
Let z(h) = -h**3 - 7*h**2 - 7*h - 8. Let k be z(-6). Let g = k + 4. Suppose -3*a**4 + 2 + a**3 - 4*a - a + 0*a**4 + 4*a**3 + a**g = 0. What is a?
-1, 2/3, 1
Let g be 0/(-2*3/6). Let u(f) be the second derivative of -1/6*f**3 - 3/20*f**5 - 1/30*f**6 + g - 1/4*f**4 + 0*f**2 + 2*f. Solve u(x) = 0.
-1, 0
Let b(k) = k**2 - 5*k + 4. Let p be b(5). Suppose z + 6 = p*z. Factor -z*o + 3*o**3 + 0*o**5 - 2*o**5 + o**3.
-2*o*(o - 1)**2*(o + 1)**2
Suppose -6*k + 16 = -38. Factor 3/2*j + 6*j**4 + 6*j**2 + 3/2*j**5 + 0 + k*j**3.
3*j*(j + 1)**4/2
Suppose -3*c = -c + k - 17, 4*k - 44 = -4*c. Suppose -c*p + 3*p + 6 = 0. Factor -1/4*h**p - 1/4*h**3 + 1/2*h + 0.
-h*(h - 1)*(h + 2)/4
Let i(b) be the first derivative of -2*b**3/27 - 8*b**2/9 - 32*b/9 - 3. Suppose i(d) = 0. Calculate d.
-4
Let u(p) = p - 1. Let f(d) = 2*d**2 - 7*d + 1. Let g(o) = f(o) + 5*u(o). Factor g(s).
2*(s - 2)*(s + 1)
Let p = 20 + -15. Let r(g) be the third derivative of 0*g**p + 0*g**3 - 1/300*g**6 + g**2 + 0*g + 0 + 0*g**4 + 1/525*g**7. Find v, given that r(v) = 0.
0, 1
Let c(w) be the third derivative of w**5/60 - w**4/6 + 5*w**2. F