 be the third derivative of -5/156*f**4 + 0 - 14/39*f**3 + 4/195*f**5 + 0*f - 107*f**2 - 1/780*f**6. Factor s(z).
-2*(z - 7)*(z - 2)*(z + 1)/13
Factor -161*x + 4*x**3 + 15*x**3 + 9*x**3 - 327*x + 1700*x**2.
4*x*(x + 61)*(7*x - 2)
Let t = 9768 + -3602. Factor -t - 2524 - 4*g**2 + 336*g - 318 + 1952.
-4*(g - 42)**2
Let z = 10 + -10. Factor -8*i**2 - 15*i + z*i**2 - 6 - 4*i**2 - 3*i**3.
-3*(i + 1)**2*(i + 2)
Let l = -372671 - -372674. Find c such that -3 - 7/3*c**2 - 5*c - 1/3*c**l = 0.
-3, -1
Let b(w) = 3*w**4 + 30*w**3 + 45*w**2 - 8*w. Let l(t) = -2*t**4 - 30*t**3 - 45*t**2 + 12*t. Let u(k) = 3*b(k) + 2*l(k). Let u(n) = 0. What is n?
-3, 0
What is r in 80/7*r**2 + 1152 + 1/7*r**3 + 1488/7*r = 0?
-56, -12
Let a(l) = l**3 + 64*l**2 - 231*l + 3. Let w(m) = 8*m**3 + 450*m**2 - 1614*m + 22. Let y(g) = 22*a(g) - 3*w(g). Find b, given that y(b) = 0.
0, 5, 24
Determine q so that 23/5 - 1/5*q**2 + 22/5*q = 0.
-1, 23
Suppose -10*p + 163 = -115*p + 478. Factor 3/7*w**2 + 2/7*w + 0*w**p + 0 - 1/7*w**4.
-w*(w - 2)*(w + 1)**2/7
Let q(r) be the third derivative of r**11/332640 + r**10/75600 + r**9/60480 - 17*r**5/60 - 37*r**2. Let i(s) be the third derivative of q(s). Factor i(c).
c**3*(c + 1)**2
Let t(l) be the third derivative of -2*l**6/15 - 293*l**5/15 + 268*l**4/3 + 550*l**3 + 948*l**2 + 3*l + 3. Factor t(b).
-4*(b + 1)*(b + 75)*(4*b - 11)
Let g(w) be the third derivative of -w**5/240 + 29*w**4/48 - 14*w**3/3 + 566*w**2. Factor g(p).
-(p - 56)*(p - 2)/4
Let s(q) be the first derivative of q**7/105 - 3*q**5/5 - 8*q**4/3 - 5*q**3 + 87*q**2/2 + 169. Let v(j) be the second derivative of s(j). Factor v(i).
2*(i - 5)*(i + 1)**2*(i + 3)
Let d = -858 - -861. Determine i, given that 1/6*i**4 - 1/6*i**2 - 1/6*i**d + 1/6*i + 0 = 0.
-1, 0, 1
Determine i, given that 35*i**3 + 5*i**4 + 29429 - 29429 - 200*i - 170*i**2 = 0.
-10, -1, 0, 4
Let m(n) = -28*n**2 + 3*n + 13. Let w be m(-2). Let h be ((-108)/(-50) + -2)/((-7)/w). Factor 4/5*r**3 + 12/5*r + 4/5 + h*r**2.
4*(r + 1)**3/5
Let i(o) = 3*o**2 + 38. Let t(f) = -16*f**2 - 227. Let c(q) = 11*i(q) + 2*t(q). Factor c(j).
(j - 6)*(j + 6)
Let b(o) be the first derivative of -o**6/18 - 19*o**5/12 - 175*o**4/36 - 85*o**3/18 - 20*o - 88. Let a(u) be the first derivative of b(u). Solve a(k) = 0.
-17, -1, 0
Let x(a) be the third derivative of -a**6/540 - 7*a**5/90 - 49*a**4/36 + 97*a**3/6 - 2*a**2. Let m(v) be the first derivative of x(v). Factor m(t).
-2*(t + 7)**2/3
Let u be ((-62)/(-2))/((-308)/8393). Let z = 845 + u. Factor -5/4*c**3 + z*c**4 - 1 + 3/4*c**2 + 5/4*c.
(c - 4)*(c - 1)**2*(c + 1)/4
Determine a so that 3/8*a**2 + 303/8*a - 117 = 0.
-104, 3
Let r be (-36)/(-10 + 4) - 3. Solve 38 - s**r + s**4 + 10*s**3 - 80*s - 108 + 9*s**2 + 3*s**2 - 122 = 0 for s.
-4, 3
Let c be (-202)/(-24) + 337/1348. Let f be (-5)/(10/(-4)) - (-30)/45. Factor -8*w + f - 4*w**3 + 2/3*w**4 + c*w**2.
2*(w - 2)**2*(w - 1)**2/3
Let m(u) be the third derivative of -u**8/120 + 44*u**7/525 + 37*u**6/300 - 133*u**5/75 - 3*u**4 + 24*u**3/5 + 13*u**2 - 22*u. Suppose m(g) = 0. What is g?
-2, -1, 2/7, 3, 6
Let r(h) = -h**3 - 6*h**2 - h - 10. Let b be r(-7). Let w = 55 - b. Find p such that -10*p + w*p + 2 - 2*p**2 + p**2 = 0.
-2, 1
Solve -145/2*j + 5/2*j**4 - 45 - 15/2*j**2 + 45/2*j**3 = 0 for j.
-9, -1, 2
Let n(t) = 2*t**2 + 2*t - 29. Let r be n(-6). Let h be -35 + r + 69/15. What is a in 2/5 - 1/5*a**3 + 1/5*a**4 + 1/5*a - h*a**2 = 0?
-1, 1, 2
Let r(s) = 6*s**3 - 56*s**2 + 122*s - 148. Let u be r(7). Find m such that -u*m**2 + 0 + 0*m - 5/2*m**4 + 15*m**3 = 0.
0, 2, 4
Suppose 231*a**2 - 67*a**2 - 51*a + 1757*a + 8400 + 4*a**3 + 369*a + 5*a = 0. What is a?
-21, -10
Let r(x) be the third derivative of -x**5/120 - 107*x**4/48 + 109*x**3/6 + 25*x**2 + 8. Factor r(m).
-(m - 2)*(m + 109)/2
Find x, given that 2*x**5 - 193*x**4 - 4*x**2 - 3*x**5 - 28*x**3 - 5*x**3 + 207*x**4 + 44*x = 0.
-1, 0, 2, 11
Let c = -31 + 36. Factor -10*h + 4*h**2 + c*h**3 - h**3 + 2*h.
4*h*(h - 1)*(h + 2)
Let k be (-203)/(-56) - (-29)/(3248/42). What is v in 4*v - 2/11*v**k + 16/11*v**3 - 16/11 - 42/11*v**2 = 0?
1, 2, 4
Factor -12*h**2 - 844/3*h - 808/3.
-4*(h + 1)*(9*h + 202)/3
Let t be 1/(-22) - (21547/638 - 34). Factor 72/11 + 24/11*o + t*o**2.
2*(o + 6)**2/11
Let r be (-4 - -2)*108/(-8). Let c be 9*((-2)/(-18))/(9/r). Factor 4*b**2 + 2*b + 2*b**3 - 7*b + 9*b - b**c.
b*(b + 2)**2
Let t(j) be the second derivative of j**4/36 + 295*j**3/18 + 293*j**2/3 - 7104*j. Factor t(h).
(h + 2)*(h + 293)/3
Suppose -4*d = -o - 0*d + 20, 5*o + 5*d = 225. Let v = 43 - o. Suppose -38*k**2 - 60*k**2 + 48*k - 21*k**4 + 3*k**5 + 57*k**v - 12 + 23*k**2 = 0. Calculate k.
1, 2
Let n be ((-2)/5*2)/((-448)/160). Let d(x) = -3*x + 57. Let t be d(19). Determine m so that t - n*m**3 + 1/7*m**4 + 2/7*m - 1/7*m**2 = 0.
-1, 0, 1, 2
Suppose 1 = 5*u + 3*x, 0 = 3*u + x - 6*x - 21. Let d be (30/48 + 0)*(-24)/(-3). Factor -7*z - 3*z - 3*z + d*z + 12*z**u.
4*z*(3*z - 2)
Solve 2/3*t**2 + 104/3 + 56/3*t = 0 for t.
-26, -2
Let i = 16 - 4. Suppose 2 = s - 0. Factor i + s*a + 4*a**4 + 51*a + 48*a**2 + a - 14*a + 24*a**3.
4*(a + 1)**3*(a + 3)
Let x(m) be the second derivative of -m**7/1260 - m**6/420 - m**4/2 + m**3/2 + 31*m. Let u(f) be the third derivative of x(f). Factor u(b).
-2*b*(7*b + 6)/7
Let g = -267 + 187. Let j = 84 + g. Factor 555*d**4 - 13*d**2 - 16*d**3 - 3*d**2 - 559*d**j.
-4*d**2*(d + 2)**2
Let m(p) be the third derivative of p**7/840 - 23*p**6/80 + 5401*p**5/240 - 460*p**4 + 12800*p**3/3 - 2*p**2 + p - 549. Factor m(k).
(k - 64)**2*(k - 5)**2/4
Let b be (16/60)/((-2)/(-72)*(-8)/(-4)). Determine p, given that -1/5*p**2 - b + 14/5*p = 0.
2, 12
Suppose 28*a + b + 44 = 31*a, -3*a = 2*b - 29. Let c(t) be the first derivative of -2/7*t - a + 0*t**2 + 2/7*t**3 + 1/7*t**4. Factor c(z).
2*(z + 1)**2*(2*z - 1)/7
Find y, given that -4/7*y**3 + 20/7*y**2 + 184/7*y + 160/7 = 0.
-4, -1, 10
Let x be ((-412)/(-1))/((-168)/(-42)). Suppose x*p + 6 = 105*p. Let 18 + 12*w**2 + 2/9*w**4 - 8/3*w**p - 24*w = 0. Calculate w.
3
Let q be (-37)/(-10) - (16 + -13). Suppose 31 = 2*y + 45*y - 63. Determine t, given that -1/2*t**y - 3/10 + q*t + 1/10*t**3 = 0.
1, 3
Let y(r) be the first derivative of -r**4/2 + 560*r**3/3 - 19877*r**2 + 77284*r + 1765. Let y(u) = 0. Calculate u.
2, 139
Let m(w) be the first derivative of 4*w**3/3 - 648*w**2 + 104976*w - 9141. Factor m(o).
4*(o - 162)**2
Let l(f) = 60*f**3 - 280*f**2 - 284*f - 7. Let v(w) = 26*w**3 - 140*w**2 - 142*w - 3. Let p(u) = 6*l(u) - 14*v(u). Factor p(c).
-4*c*(c - 71)*(c + 1)
Let t(z) = -18*z**4 + 23*z**3 - 2*z**2. Let c(u) = 198*u**4 - 254*u**3 + 22*u**2. Let s(n) = 3*c(n) + 34*t(n). Determine i, given that s(i) = 0.
0, 1/9, 1
Let x(w) be the first derivative of 3*w**5/10 - 6*w**4 + 29*w**3/2 - 21*w**2/2 + 5195. Factor x(i).
3*i*(i - 14)*(i - 1)**2/2
Let m(l) = 5*l**3 - 87*l**2 + 96*l + 170. Let v(f) = 4*f**3 - 86*f**2 + 94*f + 169. Let a(x) = 5*m(x) - 6*v(x). Find z, given that a(z) = 0.
-82, -1, 2
Factor -30*c**2 - 8*c**2 - 98*c - 4*c**2 + 44*c**2.
2*c*(c - 49)
Let a(r) be the first derivative of -72 - 10*r**2 - 24*r + 4/3*r**3. Factor a(w).
4*(w - 6)*(w + 1)
Let u be -3 + (51/(-17) - ((-114)/9 + 4)). Suppose 0 = 4*m - 7 - 1. Factor u*t - 2/3*t**m + 0.
-2*t*(t - 4)/3
Let q(b) be the first derivative of 9*b**5/50 - 17*b**4/20 - 53*b**3/30 - b**2/2 + 1739. Factor q(y).
y*(y - 5)*(y + 1)*(9*y + 2)/10
Let h = 487 + -279. Let -4*a**3 + 2*a**4 - 226*a**2 + 4*a + 16 + h*a**2 + 0*a**4 = 0. Calculate a.
-2, -1, 1, 4
Suppose 2128*i - 45 = 2129*i + 4*u, -4*i = 6*u + 60. Factor -32/5 - 24/5*k + 2/5*k**i + 0*k**2.
2*(k - 4)*(k + 2)**2/5
Let v(s) be the second derivative of -s**8/280 - 4*s**7/525 - s**6/300 + 6*s**2 - 2*s - 5. Let t(g) be the first derivative of v(g). Factor t(q).
-2*q**3*(q + 1)*(3*q + 1)/5
Let x = 34763 + -34763. Factor 2/3*z**4 - 2/3*z**3 - 2/3*z**2 + x + 2/3*z.
2*z*(z - 1)**2*(z + 1)/3
Let n = 8082 - 8076. Let r(c) be the third derivative of -1/280*c**7 + 0*c - 1/20*c**5 + 1/40*c**n - 6*c**2 + 0*c**3 + 0*c**4 + 0. What is v in r(v) = 0?
0, 2
Let y be 28/14*-3 - -6. Let n(g) be the first derivative of 0*g**4 + 5 + 0*g + g**3 + y*g**2 - 3/5*g**5. Solve n(w) = 0.
-1, 0, 1
Let j(m) be the third derivative of m**9/30240 + m**8/10080 - m**5/15 + 2*m**2 + 30*m. Let c(o) be 