60*x**3 - 2*x - 1211. Factor s(g).
-5*g*(g - 912)
Let v(d) = 4*d**3 - 26*d**2 - 8*d - 4. Let y(j) = j**3 + 23*j**2 - 26*j - 44. Let t be y(-24). Let h(l) = l**3 - 4*l + 1. Let s(w) = t*h(w) + v(w). Factor s(n).
2*n*(n - 4)*(4*n + 3)
Let i(q) be the first derivative of -3*q**4/28 + 27*q**3/7 - 585*q**2/14 + 507*q/7 - 2724. Determine l so that i(l) = 0.
1, 13
Let j(o) be the second derivative of 0 - 12/5*o**2 + o**3 + 77*o - 1/10*o**4. Factor j(k).
-6*(k - 4)*(k - 1)/5
Suppose 4*v - 5646 + 241 = 3*y, -5413 = 3*y + 4*v. Let t = 7215/4 + y. Factor -1/4*h**2 - 1/4*h**5 + 0*h + 0 - 3/4*h**4 - t*h**3.
-h**2*(h + 1)**3/4
Let a(o) be the first derivative of -o**4/16 - 109*o**3/12 + 221*o**2/8 - 111*o/4 - 1588. Factor a(n).
-(n - 1)**2*(n + 111)/4
Let p(i) = 7*i**3 - 74*i**2 + 217*i - 90. Let n(z) = 6*z**3 - 78*z**2 + 210*z - 90. Let o(h) = -5*n(h) + 4*p(h). Find c such that o(c) = 0.
1, 45
Let a(y) be the second derivative of -y**6/75 - 11*y**5/50 - 19*y**4/15 - 52*y**3/15 - 24*y**2/5 + 319*y - 3. Determine b, given that a(b) = 0.
-6, -2, -1
Let r be 102150/6810 + 390/14. Factor -576/7 + r*o**3 + 4/7*o**5 + 12*o**4 + 1632/7*o - 1444/7*o**2.
4*(o - 1)**3*(o + 12)**2/7
Let d be -4*((-20)/(-16) - (-6)/(-3)). Factor -3*p**3 + 59*p**2 + 439*p**2 - 7220*p - 2*p**d - 118*p**2.
-5*p*(p - 38)**2
Let f = -39535/77 - -1524/7. Let n = f + 296. Suppose -1/11*y**3 + n*y + 0*y**2 - 2/11 = 0. What is y?
-2, 1
What is k in -2208/5*k - 836/5*k**2 - 1296/5 - 28/5*k**3 = 0?
-27, -2, -6/7
Let m(z) be the second derivative of -z**8/20160 - z**7/1080 + z**6/120 - 17*z**4/4 + 164*z. Let l(x) be the third derivative of m(x). Factor l(d).
-d*(d - 2)*(d + 9)/3
Suppose 128 = 13*n + 49 + 27. Let v(t) be the first derivative of 1/4*t**n + 12 + 729*t + 9*t**3 + 243/2*t**2. Solve v(u) = 0.
-9
Let o = -61 - -67. Let v be (3 + 3)*2/o. Let y**3 - 6*y**2 - y**3 - 14*y**v - 5*y**3 = 0. Calculate y.
-4, 0
Find m, given that -2/3*m**3 + 0 - 376/9*m + 290/9*m**2 = 0.
0, 4/3, 47
Let d be 5 + (36/81)/(1/9). Suppose 4*r = -o + 12, -34*r + 37*r - d = -4*o. Determine c so that 3/2*c**2 + o + 3/4*c**3 + 3/4*c = 0.
-1, 0
Let y(b) = 13*b**4 + 5*b**3 - 13*b**2 + 5*b - 5. Let g(j) = -37*j**3 - 6*j**2 - 34*j**4 + 40*j**4 - 2 + 39*j**3 + 2*j. Let x(c) = 5*g(c) - 2*y(c). Factor x(l).
4*l**2*(l - 1)*(l + 1)
Let l(v) be the first derivative of -4*v**6/3 + 674*v**5/5 - 208*v**4 + 166*v**3/3 + 927. Solve l(k) = 0.
0, 1/4, 1, 83
Factor -35/2 - 100*t**2 - 215/2*t.
-5*(5*t + 1)*(8*t + 7)/2
Let l be (-2)/(-2) + 258852/148. Let v = l - 6997/4. Factor -v*q**2 + 3/2*q - 1/4*q**3 + 2.
-(q - 2)*(q + 1)*(q + 4)/4
Let f(j) = -j**3 - j**2 + 9*j + 1. Let q(k) = 10*k**3 - 258*k**2 - 2058*k - 2926. Let y(s) = -6*f(s) - q(s). Factor y(t).
-4*(t - 73)*(t + 2)*(t + 5)
Let a = -32 - -30. Let h(s) = -3*s**2 + 5. Let j(c) be the first derivative of 5*c**3/3 - 10*c - 16. Let f(i) = a*j(i) - 5*h(i). Factor f(p).
5*(p - 1)*(p + 1)
Let k be 350/(-280) + 72/48. Factor -k - 3/2*s**3 + 1/4*s**2 + 3/2*s.
-(s - 1)*(s + 1)*(6*s - 1)/4
Let l be 12 + -501 + -1 + -3. Let x = -490 - l. Factor x*s**4 + 0*s**2 + 0 + 3/2*s**3 + 0*s + 3/2*s**5.
3*s**3*(s + 1)**2/2
Let 2/3*d**2 + 83*d - 635/3 = 0. Calculate d.
-127, 5/2
Factor -255 + 38*b + 52*b + 72*b**2 + 79 + 15*b**2 - b**3.
-(b - 88)*(b - 1)*(b + 2)
Let v be -9 + 0 - (7 + 150/(-20)). Let c = v + 44/5. Factor 1/10 + c*w + 1/10*w**3 + 3/10*w**2.
(w + 1)**3/10
Let z = 2245/36 - 11117/180. Determine p, given that 6/5*p - 3/5 - z*p**2 = 0.
1
Let a(d) be the third derivative of -d**6/96 - 61*d**5/24 + 155*d**4/12 - 3*d**2 + 22*d. Determine i so that a(i) = 0.
-124, 0, 2
Let d(t) be the second derivative of -t**6/1440 - t**5/80 + 7*t**4/96 + 85*t**3/6 - t**2 - 48*t. Let a(r) be the second derivative of d(r). Factor a(z).
-(z - 1)*(z + 7)/4
Let q = -22 + 27. Suppose 28 = b - q*f, -2*b - f + 21 = -4*f. Factor 6*r**b - 8*r**2 + 2*r**4 + 12*r**2 + 0*r**2.
2*r**2*(r + 1)*(r + 2)
Let t(c) be the second derivative of -c**5/100 + c**4/5 - 13*c**3/10 + 14*c**2/5 - 2060*c. Factor t(z).
-(z - 7)*(z - 4)*(z - 1)/5
Let a(m) be the first derivative of -2*m**6/3 + 24*m**5/5 + 10*m**4 - 64*m**3/3 - 66*m**2 - 56*m - 790. Factor a(q).
-4*(q - 7)*(q - 2)*(q + 1)**3
Let g be 10 - 8 - 7 - -5. Determine f so that -f**2 + g - 664*f + 0 + 644*f = 0.
-20, 0
Let f = -611 - -633. Let q be (-6)/4*(-16)/6. Find x such that -8*x**2 + 12*x + 8*x**q + 14*x - 4*x**5 - f*x = 0.
-1, 0, 1
Let f be 9/6 - (26/(-4) + 8). Let b(i) be the second derivative of 0*i**2 - 2/21*i**7 + 0*i**5 + 0*i**4 + f*i**3 - 5*i + 0*i**6 + 0. Find g such that b(g) = 0.
0
Let j(c) = 5*c**3 - 2*c**2 - 11*c + 8. Suppose -3*k - 16 = -31. Let x(q) = -11*q**3 + 5*q**2 + 23*q - 17. Let r(z) = k*j(z) + 2*x(z). Factor r(f).
3*(f - 1)**2*(f + 2)
Factor 2888/17*i + 962/17 + 2/17*i**4 + 968/17*i**3 + 2892/17*i**2.
2*(i + 1)**3*(i + 481)/17
Let r(o) be the first derivative of o**8/2520 - o**7/630 - o**6/540 + o**5/90 + 4*o**3/3 + o + 12. Let v(w) be the third derivative of r(w). Factor v(l).
2*l*(l - 2)*(l - 1)*(l + 1)/3
Let q(n) be the second derivative of n**4/12 - 125*n**3/6 - 603*n**2 - 4190*n. Factor q(d).
(d - 134)*(d + 9)
Let k(o) be the second derivative of -1/50*o**5 + 3/10*o**4 + 4/5*o**2 + 136*o - 1/75*o**6 - 11/15*o**3 + 0. Let k(t) = 0. Calculate t.
-4, 1
Let g(h) be the second derivative of 5*h**4/12 - 25*h**3/3 - 660*h**2 - 6591*h. Find u, given that g(u) = 0.
-12, 22
Let x be (-400)/(-176) + ((-68)/170 - (72/(-30) + -3)). Let m = -1407/187 - -165/17. Factor m + x*s - 14/11*s**2.
-2*(s - 6)*(7*s + 2)/11
Let f(m) be the second derivative of m**5/5 + 26*m**4 - 409*m. Factor f(z).
4*z**2*(z + 78)
Determine o, given that 2/9*o**4 + 880*o + 450 + 3692/9*o**2 - 176/9*o**3 = 0.
-1, 45
Let v be (-153)/(-975) + (-4)/52 + 2444/75. Let -1/3*x**2 - 2401/3 - v*x = 0. Calculate x.
-49
Factor l + 7*l**3 + 367*l**2 - 127*l**2 - 108*l**2 - 109*l**2 - 15.
(l + 1)*(l + 3)*(7*l - 5)
Let b(j) = -9*j**3 - 30*j**2 + 163*j + 581. Let n(l) = 5*l**3 + 16*l**2 - 81*l - 291. Let h(c) = 3*b(c) + 5*n(c). Factor h(v).
-2*(v - 6)*(v + 3)*(v + 8)
Solve -1962/7*i**3 + 0 + 384/7*i + 96/7*i**2 + 69*i**4 - 30/7*i**5 = 0 for i.
-2/5, 0, 1/2, 8
Let h(w) be the first derivative of w**4/10 - 62*w**3/3 + 458*w**2/5 - 608*w/5 - 2114. Factor h(t).
2*(t - 152)*(t - 2)*(t - 1)/5
Let m(i) = -571*i - 7994. Let t be m(-14). Factor t + 2/7*r**2 + 34/7*r.
2*r*(r + 17)/7
Solve 1881*l + 24*l + 2*l**2 + 863 - 2*l**2 + 1039 + 3*l**2 = 0.
-634, -1
Let r(k) be the first derivative of 25 + 18/5*k**5 + 24*k**2 - k**4 - 18*k**3 - 8*k. Factor r(h).
2*(h - 1)**2*(h + 2)*(9*h - 2)
Let d = 655837/25 + -26233. Let z(s) be the first derivative of 30 + 0*s + 0*s**2 + d*s**5 - 2/5*s**3 - 3/20*s**4 + 3/10*s**6. Factor z(n).
3*n**2*(n + 1)**2*(3*n - 2)/5
Let r be (-2)/11 + (-96)/(-44). Suppose -2*h = r*h - 4*b - 12, -2*b - 15 = -5*h. What is l in -30*l - 2*l**2 - 3*l**2 + 5 + 24*l + 25*l**h - 19*l = 0?
-1, 1/5, 1
Let n(t) be the first derivative of 0*t**2 - 44 + 41*t - 10/21*t**3 - 1/42*t**4. Let a(g) be the first derivative of n(g). Factor a(s).
-2*s*(s + 10)/7
Factor 51/4*f + 1/4*f**3 + 0 + 5*f**2.
f*(f + 3)*(f + 17)/4
Let r(v) = 78*v - 4678. Let g be r(60). Let -18/5 - 12/5*d**3 + 12/5*d + 2/5*d**4 + 16/5*d**g = 0. What is d?
-1, 1, 3
Let m be 2153 - (1 - 5)/4. Let v = m - 2152. Find r, given that 2/21*r**v + 0*r + 4/21*r**3 + 0 = 0.
-1/2, 0
Let z(o) = -41*o + 126. Let r be z(3). Factor -r*n**2 + 21 - 8*n**2 - 1884*n - 10 + 1883*n + n**3.
(n - 11)*(n - 1)*(n + 1)
Let n be 0/((-152)/646*17). Let 234/7*d**3 + n - 320/7*d**2 + 72/7*d + 2*d**4 = 0. What is d?
-18, 0, 2/7, 1
Factor 876/11 - 882/11*i + 6/11*i**2.
6*(i - 146)*(i - 1)/11
Suppose 0 = -2*f + 2, 2*d - f = -2*d + 11. Determine v so that -3*v**5 - 7*v**5 - 1620*v**2 - 5621 - 990*v**d + 1080*v + 5621 - 175*v**4 = 0.
-6, 0, 1/2
Let k(t) be the third derivative of t**11/332640 + t**10/30240 - t**5/12 + t**3/2 + 118*t**2. Let b(f) be the third derivative of k(f). Factor b(q).
q**4*(q + 5)
Suppose -12*n + 36 = -216. Suppose -24 - 13*o + n + 3*o**2 + 10*o + 3*o**3 = 0. Calculate o.
-1, 1
Find x such that 85*x**3 - 283244*x - 2*x**4 + 283478*x - 426*x**2 + 9*x**3 + 756 = 0.
-1, 3, 42
Let k = -147077/2 + 73557. Factor k*m**3 + 5*m**4 + 30*m**2 + 18*m + 0 + 1/2*m**5.
m*(m 