 Find m, given that z(m) = 0.
-1, 1, 4
Factor 2/5*s**2 + 72/5 + 6*s.
2*(s + 3)*(s + 12)/5
Let m = -230 - -232. Factor 0 + 0*w + 1/6*w**4 - 1/6*w**3 - 1/6*w**m + 1/6*w**5.
w**2*(w - 1)*(w + 1)**2/6
Suppose 5*p = w - 337, 0 = -5*p + 2*w - 438 + 99. Let y = p + 67. Factor y + 2/9*t**4 - 4/9*t + 4/9*t**3 - 2/9*t**2.
2*t*(t - 1)*(t + 1)*(t + 2)/9
Factor 20*f**2 - 30*f**3 + 5*f**5 + 24*f - 10*f**4 + 16*f + 5*f**4.
5*f*(f - 2)**2*(f + 1)*(f + 2)
Let o(u) = 2*u**2 + 21*u + 12. Let i be o(-10). Let r**3 - 1/4 - 9/4*r**i + 3/2*r = 0. What is r?
1/4, 1
Let g(y) be the second derivative of 5*y**4/12 - 20*y**3/3 + 35*y**2/2 - 111*y. Factor g(m).
5*(m - 7)*(m - 1)
Let l(r) = 8*r**2 + 14*r + 16. Let y(n) = -10*n**2 - 16*n - 18. Let v(d) = 6*l(d) + 5*y(d). Suppose v(a) = 0. What is a?
-1, 3
Suppose 176 = 10*f + 156. Let 0*g - 2/13*g**4 + 0 + 0*g**3 + 2/13*g**f = 0. What is g?
-1, 0, 1
Let x = 18659 - 18656. Let -47/3*d**2 + 28/3*d**x + 14/3*d + 5/3*d**4 + 0 = 0. What is d?
-7, 0, 2/5, 1
Let l = -2773/12 - -781/3. Let z(x) be the second derivative of 0 - l*x**4 - 507/20*x**5 + 4*x - 6*x**2 + 24*x**3. Suppose z(f) = 0. What is f?
-1, 2/13
Let o(l) be the second derivative of 2*l**7/21 + 2*l**6/15 - l**5/5 - l**4/3 - 27*l. Find g such that o(g) = 0.
-1, 0, 1
Let a(g) be the third derivative of -g**6/192 - g**5/40 + g**4/16 + 7*g**3/3 + 9*g**2. Let r(q) be the first derivative of a(q). Factor r(k).
-3*(k + 2)*(5*k - 2)/8
Suppose -2*y - 6 = -4*i, 4*i + 59 = y - 4*y. Let x = y - -16. Determine b so that -4/9 - 14/9*b**4 + 2*b**2 + 10/9*b**x - 10/9*b = 0.
-1, -2/7, 1
Let d be -5*(-1 - -2 - 2). Let z(r) = -9*r**3 + 72*r**2 - 90*r + 18. Let u(f) = 10*f**3 - 71*f**2 + 89*f - 19. Let k(c) = d*z(c) + 6*u(c). Factor k(h).
3*(h - 2)**2*(5*h - 2)
Let s(w) = -w**2 - 3*w + 30. Let n(g) = g**2 - 2*g. Let q(t) = -4*n(t) + s(t). Determine y so that q(y) = 0.
-2, 3
Let i(f) = 9*f**3 + 3*f - 6. Let o(a) = a**3 - a**2 + 3*a + 2. Let d(u) = i(u) - 6*o(u). What is b in d(b) = 0?
-3, -1, 2
Let d(k) be the second derivative of -4*k + 0 - 5/9*k**3 + 0*k**2 - 1/18*k**4. Let d(l) = 0. What is l?
-5, 0
Let r(q) be the first derivative of -11 + 0*q**2 - 1/15*q**6 + 1/10*q**4 - 2/25*q**5 + 2/15*q**3 + 0*q. Factor r(g).
-2*g**2*(g - 1)*(g + 1)**2/5
Suppose 17 = -3*l + 23. Let v = 146/413 + -4/59. Let 0 + 0*w - 2/7*w**3 + v*w**5 - 2/7*w**4 + 2/7*w**l = 0. Calculate w.
-1, 0, 1
Let p(i) be the first derivative of -20/3*i**2 - 8/3*i + 3/2*i**4 - 14/9*i**3 - 50. Factor p(b).
2*(b - 2)*(b + 1)*(9*b + 2)/3
Let u(o) be the third derivative of -o**7/735 + o**6/42 - 4*o**5/35 + 11*o**4/42 - o**3/3 - o**2 - 138*o. Factor u(a).
-2*(a - 7)*(a - 1)**3/7
Factor 10*d**3 + 34*d**2 - 89*d**2 + 25*d - 60*d + 5*d**4 - 25*d.
5*d*(d - 3)*(d + 1)*(d + 4)
Let c be (-4)/18*1718/(-4). Let x = c + -95. Factor 0*o - x*o**2 + 0*o**3 + 2/9 + 2/9*o**4.
2*(o - 1)**2*(o + 1)**2/9
Let l(b) be the third derivative of -b**8/2240 - b**7/840 + b**6/240 + b**5/40 - 5*b**4/24 + 8*b**2. Let h(n) be the second derivative of l(n). Factor h(c).
-3*(c - 1)*(c + 1)**2
Let y(z) = -9*z**3 - 11*z**2 - 15*z - 9. Let s(p) = -p**3 + p**2 - 1. Let o(v) = 4*s(v) - y(v). Suppose o(g) = 0. What is g?
-1
Let d(y) = -y**4 + y**3 + 2*y**2 - 2*y + 1. Let b(i) = 5*i**5 + 87*i**4 - 35*i**3 + 2*i**2 - 2*i + 1. Let s(l) = -b(l) + d(l). Find f, given that s(f) = 0.
-18, 0, 2/5
Let l(q) = -2*q**4 - 198*q**3 + 2110*q**2 + 4800*q + 2500. Let b(z) = -z**4 - z**3 + z**2. Let f(k) = -6*b(k) + l(k). Determine o, given that f(o) = 0.
-1, 25
Let j = 551/695 + 1/139. Let t(u) be the first derivative of 8/5*u - 3 + 2/15*u**3 - j*u**2. Find c, given that t(c) = 0.
2
Factor -10/7*h**2 - 4/7*h**3 - 2/7 - 8/7*h.
-2*(h + 1)**2*(2*h + 1)/7
Let j(v) = 4*v**2 - 22*v - 39. Let y be j(7). Let r(a) be the first derivative of -a**4 - 2*a**y - 3 + 8*a + 2/5*a**5 + 4*a**2. Factor r(c).
2*(c - 2)**2*(c + 1)**2
Let z(a) be the third derivative of -a**6/24 - a**5/6 + 65*a**4/8 - 60*a**3 - 405*a**2 - 2*a. Factor z(d).
-5*(d - 3)**2*(d + 8)
Factor -3*a**3 + 84*a + 81*a**2 + 577594 - 577594.
-3*a*(a - 28)*(a + 1)
Let k be 5*4/(-20)*-6. Let o(y) be the third derivative of -3/2*y**4 + 0 - 3/10*y**5 - 4*y**3 - 2*y**2 + 0*y - 1/40*y**k. Let o(m) = 0. Calculate m.
-2
Let v = 457 + -457. Let c(z) be the third derivative of 0 + 0*z + 11/20*z**5 - 1/4*z**4 + v*z**3 - 6*z**2. Factor c(r).
3*r*(11*r - 2)
Let s be (-418)/(-396) - 4*(-3)/(-72). Determine k, given that -2/9*k**5 + 8/9*k**4 - 8/9*k**2 - 2/3*k**3 + s*k + 0 = 0.
-1, 0, 1, 2
Let j be (6 + (-100)/15)/(8/(-219)). Let u = j + -18. Determine y, given that -11/4*y**3 + y**4 - u*y + 9/4*y**2 - 1/4 = 0.
-1/4, 1
Let a(r) = r**3 - 12*r**2 - 19*r + 6. Let o(z) = -z**3 + 23*z**2 + 34*z - 12. Let w(h) = 11*a(h) + 6*o(h). Factor w(p).
(p - 1)*(p + 1)*(5*p + 6)
Suppose -5*c + 4*j + 30 = 0, 13*c = 15*c - 2*j - 12. Let g(o) be the first derivative of 1/15*o**3 - 1/5*o + 0*o**2 - c. Solve g(y) = 0 for y.
-1, 1
Solve 3/8*j**5 + 2*j**2 + 13/4*j**3 + 3/8*j + 2*j**4 + 0 = 0 for j.
-3, -1, -1/3, 0
Let x = -1363 + 1365. Factor 45/4*d + 27/4 + 21/4*d**x + 3/4*d**3.
3*(d + 1)*(d + 3)**2/4
Let d = 413 + -825/2. Let x(q) be the first derivative of -6*q + 2*q**3 - d*q**6 - 9/2*q**2 + 0*q**5 + 2 + 3*q**4. Factor x(p).
-3*(p - 2)*(p - 1)*(p + 1)**3
Let u = 33/7 - 884/189. Let i(k) be the second derivative of -6*k + 1/90*k**5 - 1/27*k**4 + 0*k**2 + u*k**3 + 0. What is r in i(r) = 0?
0, 1
Suppose 0*w + 12*w = -18*w + 60. Factor 338/17*h**w - 104/17*h + 8/17.
2*(13*h - 2)**2/17
Let r(t) be the first derivative of -t**6/45 - 4*t**5/75 + t**4/6 + 4*t**3/9 - 4*t**2/15 - 16*t/15 - 3. Solve r(z) = 0.
-2, -1, 1, 2
Suppose -5*c - 7 = 63. Let d = -11 - c. Factor -d*k**3 + k**5 + k + 4*k**4 + 9*k**3 + 2*k**2 + 2*k**2.
k*(k + 1)**4
Let v be 1226/(-14) - (27/7)/9. Let k be (v/(-132))/((-2)/(-9)). Solve -12/7*x**2 - 18/7*x - 8/7 - 2/7*x**k = 0 for x.
-4, -1
Let c = 3551/21090 - 6/3515. Determine m, given that c*m**5 - 1/3*m + 0 - 1/2*m**4 + 1/6*m**3 + 1/2*m**2 = 0.
-1, 0, 1, 2
Let r(i) be the third derivative of -i**8/131040 - i**7/10920 - i**5/10 + 2*i**2. Let z(c) be the third derivative of r(c). Factor z(l).
-2*l*(l + 3)/13
Let b(x) be the first derivative of x**7/70 + x**6/20 + x**5/20 - 3*x**2/2 + 6. Let d(r) be the second derivative of b(r). Determine a, given that d(a) = 0.
-1, 0
Suppose -16*m + 5*n = -14*m - 31, -2*m = n - 13. Let d(y) be the second derivative of -4*y**2 + 1/3*y**4 - m*y + 0 + 2/3*y**3. Factor d(a).
4*(a - 1)*(a + 2)
Let w be (14/8)/((-3)/(-12)). Let o(a) be the first derivative of -1/10*a**5 + w - 1/6*a**3 + 0*a**2 + 1/4*a**4 + 0*a. Factor o(y).
-y**2*(y - 1)**2/2
Let -69*x - 100 + 9*x + 2335*x**2 - 2340*x**2 = 0. Calculate x.
-10, -2
Let t = -10 - -12. Factor p**t - 2 + 2 - p - 2 + 2*p.
(p - 1)*(p + 2)
Let f(h) be the second derivative of -h**5/10 + 15*h**4/2 - 161*h**3 - 529*h**2 + 522*h. Solve f(o) = 0 for o.
-1, 23
Let j = -6244 + 6246. Let 0*z + 0 + z**4 + 1/2*z**3 + 0*z**j + 1/2*z**5 = 0. Calculate z.
-1, 0
Let b(g) be the second derivative of 1/140*g**5 + 1/210*g**6 + 0*g**2 + 0*g**3 - 1/84*g**4 + 0 - 1/294*g**7 + 12*g. Factor b(v).
-v**2*(v - 1)**2*(v + 1)/7
Let z(y) be the third derivative of -y**5/300 + y**4/6 + 60*y**2. Factor z(g).
-g*(g - 20)/5
Let w(o) be the first derivative of o**6/9 + 2*o**5/3 + o**4 - 8*o**3/9 - 8*o**2/3 - 100. Let w(h) = 0. What is h?
-2, 0, 1
Let h(c) be the first derivative of -c**5/20 - 11*c**4/16 - 7*c**3/2 - 8*c**2 - 8*c - 103. Factor h(o).
-(o + 1)*(o + 2)*(o + 4)**2/4
Let w(v) = -v**3 - 13*v**2 + 2. Let l be w(-13). Factor 9 - 14 + t + t**l + 3*t.
(t - 1)*(t + 5)
Let x(z) = z**3 + 6*z**2 - 9*z - 7. Let u be x(-7). Suppose 2*m + j = u, -4*j = m - 0*m. Find s, given that -m*s**2 + 1 + 1 + 0*s**2 + 2*s = 0.
-1/2, 1
Factor 13/9*g + 4/3 + 1/9*g**2.
(g + 1)*(g + 12)/9
Let q be ((-2)/(6 - 4) + 2)*1. Factor 3*a**2 + a**3 + q + 0*a**3 - 3*a - 2*a**3 + 0*a**3.
-(a - 1)**3
Factor 2*u**2 + 5*u + 6*u**2 - 2*u - 17*u - 20 + 2*u**3.
2*(u - 2)*(u + 1)*(u + 5)
Factor 16*j**2 - 2*j**3 + 17*j**2 + 23*j**2 - 4*j - 62*j**2.
-2*j*(j + 1)*(j + 2)
Let v(c) be the first derivative of -c**8/6720 + c**6/1440 + 22*c**3/3 - 10. Let s(a) be the third derivative of v(a). Suppose s(m) = 0. Calculate m.
-1, 0, 1
Let h(g) = -23*g**3 - 2054*