0*g**5 + 12*g**4 - 26*g**3 + 34*g**2 - 6*g + 2. Let b(o) = o**5 + o**4 - o**3 - o**2 - o. Let r(w) = a(w) + 6*b(w). Factor r(t).
-2*(t - 1)**4*(2*t - 1)
Let h(f) be the first derivative of 18*f**5/5 - 15*f**4 + 74*f**3/3 - 20*f**2 + 8*f - 7. Factor h(g).
2*(g - 1)**2*(3*g - 2)**2
Let s(h) be the first derivative of 1/2*h**4 - h**2 - 2/5*h**5 + 0*h - 3 + 2/3*h**3. Factor s(b).
-2*b*(b - 1)**2*(b + 1)
Suppose 5*d - 1 - 19 = 0. Suppose -5*y + 0 + 20 = -d*h, -h + 2*y - 8 = 0. Let 3/2*v**2 - 1/2*v**3 - v + h = 0. What is v?
0, 1, 2
Let z be 0 + 0 - (-1 + 9 - 8). Factor 2/7 + z*w - 2/7*w**2.
-2*(w - 1)*(w + 1)/7
Let u(f) be the first derivative of -f**6/2 + 9*f**5/5 - 9*f**4/4 + f**3 + 6. Factor u(o).
-3*o**2*(o - 1)**3
Let v(p) = -11*p**3 - 21*p**2 - 21*p + 1. Let m(a) = -45*a**3 - 85*a**2 - 85*a + 5. Let g(n) = -6*m(n) + 25*v(n). Solve g(j) = 0.
-1
Let u be (-151)/(-14) - (-12)/(-42). Factor 1/2 + u*h**4 + 9/2*h**5 - 3/2*h - 3*h**2 + 5*h**3.
(h + 1)**3*(3*h - 1)**2/2
Let g = -297 + 899/3. Factor -243*q**5 - 116/3*q**2 - 405*q**4 + 0 - g*q - 198*q**3.
-q*(q + 1)*(9*q + 2)**3/3
Let z = -1141 + 45643/40. Let b(l) be the third derivative of 3/16*l**4 + 1/80*l**6 + 0*l + 0 - l**2 - z*l**5 - 1/4*l**3. Factor b(t).
3*(t - 1)**3/2
Let v be (-15)/(-15) + (-6)/(-2). Let w(z) be the second derivative of 1/20*z**5 - 1/8*z**v + 0 + 2*z - 1/120*z**6 + 1/6*z**3 - 1/8*z**2. What is r in w(r) = 0?
1
Let n be (-41 - -45) + -18*(-1)/(-5). Suppose -2*f - 3*f = 0. Factor 0*u + f + n*u**2.
2*u**2/5
Suppose x - 6 = -0*x. Let g(t) = 2*t - 8. Let u be g(x). Suppose -4/5*z**u + 0 - 2/5*z**5 + 0*z**2 - 2/5*z**3 + 0*z = 0. What is z?
-1, 0
Let o(v) = v**2 - 11*v + 14. Let n be o(9). Let w be n/(-18)*(3 + 0). Factor 2/3*i + 2/3*i**2 + 0 - w*i**3 - 2/3*i**4.
-2*i*(i - 1)*(i + 1)**2/3
Let a = -6 + 6. Suppose a*v + 15 = 5*v. Factor 15 - 3 - 21*p**2 + 5*p**3 + 3*p**v + p**3.
3*(p - 2)*(p - 1)*(3*p + 2)
Let s be -6 + 112/21 + 1. Factor -1/3*y**2 - s + 2/3*y.
-(y - 1)**2/3
Let l = 0 + -36. Let n be l/(-10) - 8/(-20). Let 0*b - 4/5*b**n - 2/5*b**5 + 0*b**2 + 0 - 2/5*b**3 = 0. Calculate b.
-1, 0
Factor -22*h**2 - 2*h + 32*h**2 + 10*h**3 - 5*h**5 - 5*h**4 - 3*h - 5.
-5*(h - 1)**2*(h + 1)**3
Solve 1/5*f**4 + 0*f - 1/5*f**2 - 1/5*f**5 + 1/5*f**3 + 0 = 0 for f.
-1, 0, 1
Suppose 0 = -57*n + 62*n. Let u(c) be the second derivative of -1/20*c**5 + n*c**2 + 0*c**3 + 0 - c - 1/6*c**4. Factor u(k).
-k**2*(k + 2)
Let b(w) = 1. Let j(v) = -2*v**2 + 4*v + 3. Let l be 3/(-6) - 33/(-6). Let i(p) = l*b(p) - j(p). Factor i(q).
2*(q - 1)**2
Let k be 17/680 + 6/16. Let o(z) be the first derivative of 0*z - 2*z**3 - z**2 - k*z**5 - 1 - 3/2*z**4. Find r such that o(r) = 0.
-1, 0
Let c be (-2)/(-8) - 6/72*-15. Let -1/4*q + 0 - 1/4*q**5 - q**2 - q**4 - c*q**3 = 0. Calculate q.
-1, 0
Let c be (3/12)/(-1) + (-2)/(-8). Find y, given that c + 0*y + 0*y**3 - 1/2*y**4 + 1/2*y**2 = 0.
-1, 0, 1
Let v(o) be the second derivative of -2*o**7/21 + 3*o**6/5 - 8*o**5/5 + 7*o**4/3 - 2*o**3 + o**2 - 10*o. Find h, given that v(h) = 0.
1/2, 1
Let s = 61 - 179/3. Factor -27*f**2 - 12*f - s.
-(9*f + 2)**2/3
Let y be 5 - ((1 - -7) + 3/(-1)). Suppose y - 1/2*k**4 + 0*k**2 + 0*k + 0*k**3 = 0. Calculate k.
0
Let u be (-30)/(-6160)*290/(-6). Let s = -3/56 - u. Let 0 + 0*a**4 + 0*a**2 - 2/11*a**5 + 4/11*a**3 - s*a = 0. What is a?
-1, 0, 1
Let w(s) be the second derivative of s**4/12 - 2*s**2 - 19*s. Find g, given that w(g) = 0.
-2, 2
Let r(d) be the second derivative of d**8/2240 + d**7/210 + d**6/60 - d**4/6 - 4*d. Let l(w) be the third derivative of r(w). Factor l(b).
3*b*(b + 2)**2
Let p be (-2)/5 + 7 + (-3051)/585. Find u, given that p*u**2 + 0*u + 2/13*u**4 + 0 + 12/13*u**3 = 0.
-3, 0
Determine q, given that 0 + 0*q + 2*q**2 - 1/3*q**3 = 0.
0, 6
Let b(f) = -21*f**2 - 38*f + 12. Let y(a) = 11*a**2 + 19*a - 6. Let k(x) = 4*b(x) + 7*y(x). Let k(l) = 0. Calculate l.
-3, 2/7
Suppose 0 = -0*m + 2*m - 114. Factor 3 - x - 2*x - m*x**3 + 72*x**3 - 9*x**2 - 6*x**4.
-3*(x - 1)**3*(2*x + 1)
Let m(h) be the first derivative of 2*h**3/57 + 5*h**2/19 + 12*h/19 + 27. Suppose m(g) = 0. Calculate g.
-3, -2
Let n(w) = 3*w**2 - 10*w - 7. Let m(u) = -u**2 + u. Let z(x) = 2*m(x) + n(x). Let y be z(9). Let -2*q**3 + y - 6*q + 3*q**3 - 3*q**3 + 6*q**2 = 0. Calculate q.
1
Factor 10*k**5 - 2*k**2 + 26*k**4 - 4*k + 18*k**3 + 17 - 17.
2*k*(k + 1)**3*(5*k - 2)
Let z = 6 - 2. Factor -5*g**3 + 6*g**2 - g**3 + g - 3*g - 2*g**4 + z*g**4.
2*g*(g - 1)**3
Factor 15*r**2 - 2 - 12932*r**3 + 27 + 12937*r**3 - 45*r.
5*(r - 1)**2*(r + 5)
Let o(z) = z**3 + 4*z**2 + 3. Let i be o(-4). Let -a + i*a + a**4 - a**3 - 2*a**4 - a**5 + 3*a**2 - 2*a**4 = 0. What is a?
-2, -1, 0, 1
Let o = -38 + 22. Let d(f) = 2*f**5 + 3*f**4 + 3*f**2 - 3. Let z(s) = -10*s**5 - 16*s**4 - 16*s**2 + 16. Let w(a) = o*d(a) - 3*z(a). Factor w(k).
-2*k**5
Let c = 91 + -87. Let w(s) be the second derivative of 0*s**2 + 1/6*s**3 - s - 1/12*s**c + 0. Solve w(a) = 0.
0, 1
Let a = 9 + -30. Let n be (a/14)/((-3)/4). Let 2/7*c**n - 4/7*c + 2/7 = 0. Calculate c.
1
Let l(h) = -h**2 - 3*h + 3. Let m be l(-3). Let f be (2*1)/(4/12). Let 2 - x**2 + f + 8*x + m*x**2 = 0. What is x?
-2
Let u = 134 - 131. Factor 15/2*q + 3/2*q**4 - 9/2*q**2 - 3/2*q**3 - u.
3*(q - 1)**3*(q + 2)/2
Let w = 160 - 1435/9. Let s(k) be the first derivative of 1/18*k**4 + 2 + w*k**2 + 4/9*k + 8/27*k**3. Factor s(j).
2*(j + 1)**2*(j + 2)/9
Factor -4*m - 5*m - m**2 - 2*m**2.
-3*m*(m + 3)
Factor -12/13*l - 18/13 - 2/13*l**2.
-2*(l + 3)**2/13
Let x = -13 + 51. Let v = x + -188/5. Determine l so that v*l**2 + 2/5 + 4/5*l = 0.
-1
Let d be (6/(-2) + 5)*1. Suppose -11 - 1 = -3*b. Factor -b*r**2 + 3*r**3 + 2*r**4 - 2*r**5 + r**3 + 0 + 2 - d*r.
-2*(r - 1)**3*(r + 1)**2
Let p(c) = c**3 - 14*c**2 - 13*c - 28. Let y be p(15). Solve 6/5*v**3 + 2/5*v**5 - 8/5*v**y - 8/5*v + 0 + 8/5*v**4 = 0.
-2, -1, 0, 1
Let l(m) be the second derivative of m**6/60 - 3*m**5/40 + m**4/24 + m**3/4 - m**2/2 + 6*m. Determine g so that l(g) = 0.
-1, 1, 2
Let i(s) be the first derivative of -2*s**5/15 - s**4/6 + 2*s**3/9 + s**2/3 - 1. Determine u so that i(u) = 0.
-1, 0, 1
Let f(s) be the first derivative of 25*s**4/4 - 5*s**3/3 - 8*s**2 - 4*s - 3. Factor f(o).
(o - 1)*(5*o + 2)**2
Let c be (-14)/(-5) - 44/55. Determine w so that 5/2*w + c*w**2 + 1/2*w**3 + 1 = 0.
-2, -1
Let v(y) be the third derivative of -y**7/735 - y**6/420 + y**5/70 + 5*y**4/84 + 2*y**3/21 - 6*y**2. Let v(z) = 0. What is z?
-1, 2
Find z, given that 0 - 2/5*z + 7/5*z**2 = 0.
0, 2/7
Suppose -7*i + 3*i + 16 = 0. Let w be 2 + -3*i/6. Factor 2/7*c**5 + 0*c + 2/7*c**4 - 2/7*c**3 - 2/7*c**2 + w.
2*c**2*(c - 1)*(c + 1)**2/7
Let a(c) be the second derivative of -c**7/490 - c**6/280 - 2*c**2 - 5*c. Let j(h) be the first derivative of a(h). Let j(w) = 0. What is w?
-1, 0
Suppose 0*g - 2*m = 5*g + 51, 0 = -g + 5*m - 21. Let f be (-24)/g - (-2)/(-11). Find v such that 2/3*v**f + 2/3*v**3 - 2/3*v**4 + 0 - 2/3*v = 0.
-1, 0, 1
Find h, given that -36*h**5 + 2*h**3 - 36*h + h**3 - 39*h**5 + 7*h**2 - 139*h**2 + 240*h**4 = 0.
-2/5, 0, 1, 3
Let g(q) = -5*q - 15. Let b be g(-3). Let v(o) be the third derivative of 0*o**3 + 1/120*o**6 + b*o + 0 + 1/210*o**7 + 0*o**5 - 4*o**2 + 0*o**4. Factor v(u).
u**3*(u + 1)
Let n(u) be the third derivative of -u**5/150 - u**4/5 - 12*u**3/5 - 34*u**2. Factor n(x).
-2*(x + 6)**2/5
Let z = -9 + 8. Let y be 0/(1*(-2 - z)). Determine p, given that 4/9*p + 10/9*p**2 + 2/9*p**4 + 8/9*p**3 + y = 0.
-2, -1, 0
Let a(k) be the second derivative of 1/30*k**6 - k + 0 + 1/15*k**5 + 1/2*k**2 + 1/24*k**4 + 0*k**3. Let b(y) be the first derivative of a(y). Factor b(w).
w*(2*w + 1)**2
Suppose 30/11*p + 2/11*p**3 + 14/11 + 18/11*p**2 = 0. Calculate p.
-7, -1
Suppose -17 = -3*z - 2. Let r(l) be the third derivative of 0*l**z + 0*l + 0*l**3 + l**2 - 1/525*l**7 - 1/300*l**6 + 0 + 0*l**4. Factor r(h).
-2*h**3*(h + 1)/5
Factor 1/3*m - 1/3*m**2 + 2/3.
-(m - 2)*(m + 1)/3
Suppose -q + 4*v + 13 = 0, -2*q + q + 15 = -5*v. What is u in -16 - 20*u**q + 4*u + 4*u**3 - 52*u**4 + 68*u**2 - 6*u + 8*u + 10*u = 0?
-2, -1, 2/5, 1
Let z(c) be the third derivative of c**7/105 - c**6/30 + c**5/30 - 5*c**2. Factor z(l).
2*l**2*(l - 1)**2
Let v = -41 + 41. Let y(w) be the second derivative of -1/7*w**2 - 2/21*w**3 + 0*w**4 + 1/35