**2 + 23*m. Factor l(y).
(3*y - 1)*(9*y + 4)**2/4
Let k(l) be the second derivative of 0*l**5 + 1/105*l**7 + 0 - 1/15*l**3 + 1/15*l**4 + 0*l**2 - 2/75*l**6 - 26*l. What is x in k(x) = 0?
-1, 0, 1
Let l be 20/(760/(-399)) - -12. Determine p so that 0 + 0*p - 15/8*p**3 - l*p**4 + 0*p**2 + 3/8*p**5 = 0.
-1, 0, 5
Find s such that -3*s**2 + s**2 - 81 - 191 - 216*s - 66 - 86 = 0.
-106, -2
Let r(g) be the second derivative of -g**7/6300 - g**6/1800 - 49*g**4/12 - g + 16. Let m(h) be the third derivative of r(h). Factor m(t).
-2*t*(t + 1)/5
Suppose k + 3 = -5*z + 8, z = -2*k + 10. Determine n so that 5 - 5*n**5 - 19*n**2 + 26*n**4 - 21*n**4 - k*n + 10*n**3 + 9*n**2 = 0.
-1, 1
Let k(v) be the first derivative of 0*v + 10 + 2/15*v**3 - 8/5*v**2. Factor k(p).
2*p*(p - 8)/5
Let z(q) be the first derivative of -3/5*q**2 + 40 + 3/5*q**3 + 3/10*q**4 - 9/25*q**5 + 0*q. Find h, given that z(h) = 0.
-1, 0, 2/3, 1
Let s(x) be the first derivative of -x**3/9 + 25*x**2/6 - 8*x + 164. Factor s(r).
-(r - 24)*(r - 1)/3
Suppose 0 = -2*q + 5*q - 6. Determine m, given that 28*m - 1 + 18 - 8*m + 5*m**q - 2 = 0.
-3, -1
Suppose 0 = 2*j + 12*c - 16*c - 16, -3*c + 3 = 0. Let a be 6*(6/j + (-2)/5). Solve a + 2/5*o**2 - 8/5*o = 0 for o.
1, 3
Let s be 188/235 + (1 - (-16)/(-10)). Determine z so that 3/5*z + 4/5*z**2 + s*z**3 + 0 = 0.
-3, -1, 0
Let p(w) be the second derivative of 11*w**5/10 - 19*w**4/2 - 56*w**3/3 + 12*w**2 + 18*w - 2. Find t such that p(t) = 0.
-1, 2/11, 6
Let d(j) be the second derivative of j**6/70 + 4*j**5/35 + 5*j**4/84 - 15*j - 3. Solve d(y) = 0 for y.
-5, -1/3, 0
Let f(r) be the first derivative of -2*r**5/45 + 7*r**4/9 - 26*r**3/27 - 28*r**2 - 72*r - 435. Factor f(o).
-2*(o - 9)**2*(o + 2)**2/9
Solve -2/3*g**5 + 0*g - 1/3*g**4 + 0*g**2 + 1/3*g**3 + 0 = 0.
-1, 0, 1/2
Solve 0*n - 1/4*n**5 + 1/4*n**3 + 1/2*n**4 + 0 - 1/2*n**2 = 0.
-1, 0, 1, 2
Let k be 1/(-42)*4*(-1839)/66. Let q = 1/77 + k. Factor -4*y + 2*y**2 + q - 1/3*y**3.
-(y - 2)**3/3
Let k(y) = -5*y**2 - 30*y - 75. Let z(u) = -66*u**2 - 390*u - 975. Let x(f) = -27*k(f) + 2*z(f). Factor x(v).
3*(v + 5)**2
Let q(o) be the second derivative of o**7/3150 + o**6/450 + 9*o**4/4 + 31*o. Let x(k) be the third derivative of q(k). Let x(l) = 0. What is l?
-2, 0
Let w(o) be the second derivative of -o**6/10 + 11*o**5/30 - o**4/2 + o**3/3 - 5*o**2 + 17*o. Let v(k) be the first derivative of w(k). Factor v(r).
-2*(r - 1)*(2*r - 1)*(3*r - 1)
Let g(b) be the second derivative of -b**5/45 + 2*b**4/27 + 2*b**3/27 - 4*b**2/9 + 296*b. Factor g(q).
-4*(q - 2)*(q - 1)*(q + 1)/9
Let v = -93 + 98. Let b(l) be the second derivative of -1/60*l**v - 3/4*l**2 + 11/72*l**4 + 0 + 8*l - 1/3*l**3. What is z in b(z) = 0?
-1/2, 3
Let b(o) be the first derivative of 2*o**5/75 - o**4/15 + 656. Suppose b(c) = 0. Calculate c.
0, 2
Let d(a) be the first derivative of a**3/4 + 153*a**2/4 + 150*a + 309. Factor d(x).
3*(x + 2)*(x + 100)/4
Let -12*t + 96*t**3 + 516*t**2 + 25*t**3 + 657*t**4 - 48 + 108*t**5 - 49*t**3 + 583*t**3 + 374*t**3 = 0. Calculate t.
-4, -1, -2/3, 1/4
Let b(x) = x**2 - 14*x - 62. Let u(y) = -4*y - 2. Let p(v) = -3*b(v) - 15*u(v). Factor p(s).
-3*(s - 36)*(s + 2)
Factor 0*l + 33/8*l**4 + 3/8*l**5 + 57/8*l**3 + 0 + 27/8*l**2.
3*l**2*(l + 1)**2*(l + 9)/8
Let x = -240/49 - -2067/392. Let t be 2/8 + (-1)/4. Suppose t - x*k**2 - 3/8*k = 0. What is k?
-1, 0
Let z(b) = -5*b**4 - 5*b**3 + 9*b**2 + 5*b. Let a(j) = 30*j**4 + 30*j**3 - 55*j**2 - 30*j. Let g(p) = 4*a(p) + 25*z(p). Factor g(q).
-5*q*(q - 1)*(q + 1)**2
Let u(c) be the first derivative of c**8/112 - c**7/35 + c**6/40 + 19*c**2/2 - 27. Let k(t) be the second derivative of u(t). What is d in k(d) = 0?
0, 1
Let c(s) = -85*s**3 + 85*s**2 + 240*s - 215. Let b(q) = 7*q**3 - 7*q**2 - 20*q + 18. Let p(x) = -25*b(x) - 2*c(x). Factor p(o).
-5*(o - 2)*(o - 1)*(o + 2)
Let r be (-4)/(-5) - 5010/(-175). Let m = 30 - r. Factor 0 + 0*x**2 - 2/7*x**3 - m*x**4 + 0*x - 2/7*x**5.
-2*x**3*(x + 1)**2/7
Let s be ((-10 - -6) + -16)*58/8. Let t = s - -1019/7. Factor t*u**5 + 0*u + 8/7*u**3 + 0 + 0*u**2 - 12/7*u**4.
4*u**3*(u - 2)*(u - 1)/7
Let a(g) = 19*g**3 - 9*g**2 + 8*g + 6. Let c(f) = 54*f**3 - 26*f**2 + 23*f + 17. Let b(x) = -17*a(x) + 6*c(x). Suppose b(p) = 0. Calculate p.
0, 1, 2
Let w = 61 - 59. Let -18*l - 2*l**2 + 3*l - w*l**2 - 12 + 4*l**3 - 5*l = 0. Calculate l.
-1, 3
Let o(r) = r**3 - 269*r**2 + 279*r - 33. Let d(i) = -54*i**2 + 56*i - 6. Let p(u) = -11*d(u) + 2*o(u). Factor p(j).
2*j*(j - 1)*(j + 29)
Let b(r) be the third derivative of -1/9*r**5 - 2*r**2 + 5/2*r**3 + 0 + 0*r - 5/8*r**4. Suppose b(l) = 0. What is l?
-3, 3/4
Let d = 77 - 74. Suppose -d*h = 2*z - 21, -z + 3 = -h + 5. Factor -4/7*m**4 + 0*m + 0 - 2/7*m**2 + 6/7*m**z.
-2*m**2*(m - 1)*(2*m - 1)/7
Let b be (-1)/(-12) + (-4)/(-16). Suppose -14*a + 13*a - 5*w - 3 = 0, 0 = -4*a - 5*w + 3. Let 0 + b*n**a + 1/3*n = 0. What is n?
-1, 0
Suppose 3*g + p = -4, -2*g = -3*g - 3*p - 12. Determine q, given that -3*q**3 + 0 - 2 + q**3 + 2*q + 2*q**2 + g*q = 0.
-1, 1
Suppose 0 = -2*j - 4*j + 18. Factor -d**j + 26*d**2 - 20*d**2 - 2*d - d - 2*d**3.
-3*d*(d - 1)**2
Let a be 0/1*16/(-32). Solve 4 - 12*z + a*z**3 + 4*z**5 + 7*z**3 - 12*z**4 + 8*z**2 + z**3 + 0*z**3 = 0 for z.
-1, 1
Let h be ((-19)/(-3) + -1)*(11 + 131/(-12)). Let h*u - 2/9*u**3 - 2/9*u**5 - 2/3*u**4 + 0 + 2/3*u**2 = 0. Calculate u.
-2, -1, 0, 1
Factor 3*b**2 + 0*b**3 - 11*b**2 - 2*b**3 - 2*b**3.
-4*b**2*(b + 2)
Let u be ((-288)/(-2106))/((-4)/(-174)). Let k = u + -60/13. Factor 2/3 + 2/3*g**4 + k*g**3 - 4/3*g**2 - 2/3*g**5 - 2/3*g.
-2*(g - 1)**3*(g + 1)**2/3
Suppose -4*p + 14 = 5*o, -p - o + 22 = 3*p. Suppose p*q - 331 = -7. Solve 27*m**3 + 2*m + 2*m**5 - q*m**3 + 23*m**3 = 0 for m.
-1, 0, 1
Let p be ((-5)/(-2))/(-7 - (-385)/30). Let -p*c + 6/7*c**2 + 0 - 3/7*c**3 = 0. Calculate c.
0, 1
Find f, given that 2/11*f**2 - 500/11 + 498/11*f = 0.
-250, 1
Let l(k) = 36*k**4 + 33*k**3 - 4*k**2 - 93*k - 40. Let f(t) = -17*t**4 - 16*t**3 + 3*t**2 + 46*t + 20. Let x(s) = -13*f(s) - 6*l(s). Solve x(p) = 0 for p.
-2, -1, 2
Let a(l) be the third derivative of -l**5/12 + 5*l**4/4 - 15*l**3/2 - 33*l**2 + l. Find f, given that a(f) = 0.
3
Suppose -5*g = 3*r - 6, -r - 3*g + 6 = 4. Find a, given that -3*a**r + 0 - 3/2*a**3 + 3/2*a**4 + 0*a = 0.
-1, 0, 2
Suppose -12*f = -33 - 39. Let a(k) = -k**3 + 7*k**2 - 6*k + 4. Let m be a(f). Factor 2/7*b**2 + 2/7*b**m + 0*b + 0 - 4/7*b**3.
2*b**2*(b - 1)**2/7
Let i(o) be the second derivative of -o**7/42 + 7*o**5/20 - o**4/2 + 56*o + 3. Let i(j) = 0. What is j?
-3, 0, 1, 2
Determine s, given that -11*s - 6*s**2 - 36 - 33*s**2 + 3*s**4 + 21*s + 54*s - 3*s**3 + 11*s = 0.
-4, 1, 3
Suppose -35*i + 1516 = 1516. Let o be 2/4 - 3/12. Determine b, given that i + 1/4*b**3 + 0*b - 1/4*b**2 + 1/4*b**4 - o*b**5 = 0.
-1, 0, 1
Let o = -56 - -68. What is k in 23*k**2 - 5*k**3 - 3*k + 3*k + o*k**2 = 0?
0, 7
Let j(m) be the second derivative of 3*m**6/55 + 13*m**5/22 + 79*m**4/33 + 140*m**3/33 + 24*m**2/11 + m + 5. Determine r, given that j(r) = 0.
-3, -2, -2/9
Let f(r) be the third derivative of 1/48*r**4 - 2*r**2 - 1/240*r**6 - 1/420*r**7 + 0*r + 1/120*r**5 + 0 + 0*r**3. Factor f(z).
-z*(z - 1)*(z + 1)**2/2
Let m = -5753 + 5753. Find k such that -2*k + m*k**2 + 2/3*k**3 + 4/3 = 0.
-2, 1
Let c be (-4)/(-22) - (-864)/88. Let a be (-7 - -3)/((-4)/c). Determine f, given that -a + 6 - 2*f**2 + 6 = 0.
-1, 1
Let q(m) be the first derivative of 0*m**3 - 5/2*m**2 + 0*m - 6 + 1/270*m**5 + 1/54*m**4. Let b(t) be the second derivative of q(t). Factor b(v).
2*v*(v + 2)/9
Let a = -2408/3 + 4843/6. Factor -3/2*l**2 + a*l + 0.
-3*l*(l - 3)/2
Let w(s) be the second derivative of -s**6/30 + 7*s**5/30 - 2*s**4/3 + 5*s**3/3 - 7*s. Let x(v) be the second derivative of w(v). Let x(i) = 0. Calculate i.
1, 4/3
Suppose 3 = 5*t - 3*w - 2, -5*t + 5 = w. Let v = t + 1. Factor d**2 - 2*d**v - 1 + 4*d - 2*d.
-(d - 1)**2
Factor -1044*z**2 + 6*z**3 - 337500*z - 11*z**3 - 16875000 - 1206*z**2.
-5*(z + 150)**3
Suppose -g = -4*g - 45. Let c = g + 17. Suppose c*a + 3*a**3 + 2*a - 7*a = 0. What is a?
-1, 0, 1
Let n be (-374)/44 - 6/(-4). Let b be ((112/(-12))/n)/((-2)/(-6)). Solve -4/15*o**3 - 2/5*o**b + 2/15 + 2/5*o - 2/15*o**5 + 4/15*o**2 = 0 for o.
-1, 1
Let l(y) be the second derivative of -y**