4/5*a - 1/25*a**g + 1/5*a**3 + 1/10*a**4 + 10 - 4/5*a**2. Solve t(l) = 0 for l.
-2, 1, 2
Solve 48/7*k**4 + 2/7*k**5 + 832/7*k**2 + 304/7*k**3 + 512/7 + 1056/7*k = 0 for k.
-16, -2
Find h, given that 1/5*h**4 - 21/5*h**2 + 4/5*h + 4/5*h**3 + 28/5 = 0.
-7, -1, 2
Let w be (-5)/(350/(-15)) + (-7831)/(-13370). Suppose -g - 1/5*g**2 - w = 0. What is g?
-4, -1
Let a(v) be the first derivative of -5*v**4/4 + v + 82. Let n(z) = 3*z**3 - z**2 - z - 1. Let r(h) = -4*a(h) - 6*n(h). Factor r(m).
2*(m + 1)**3
Suppose -12*d + 16*d = 8*t, -6*d = -3*d + 3*t - 9. Find v such that -1/10*v**d + 0 - v = 0.
-10, 0
Let g(b) be the first derivative of -5*b**3/3 + 185*b**2 + 733. Factor g(q).
-5*q*(q - 74)
Let z(v) = -v**3 - 2*v**2 + 12*v + 6. Let m be z(-5). Let d be (-3*3/m)/((-6)/2). Solve 0*w + 0*w**2 - d*w**3 + 0 = 0.
0
Let j = -12361/2 - -6181. Let l(u) be the first derivative of 1 + 1/3*u**3 - j*u**2 - 1/14*u**4 + 2/7*u. Factor l(c).
-(c - 2)*(c - 1)*(2*c - 1)/7
Suppose -82*h = -27*h - 165. Suppose -3*k = 0, h*r - 6 = r - 4*k. Solve j**r - 1/2*j**2 - j + 0 + 1/2*j**4 = 0.
-2, -1, 0, 1
Let b(s) = 2*s**3 + 720*s**2 + 5676*s + 11342. Let r(w) = 4*w**3 + 1441*w**2 + 11358*w + 22687. Let k(v) = 11*b(v) - 6*r(v). Find y such that k(y) = 0.
-355, -4
Let a(r) be the second derivative of 729*r**5/4 + 441*r**4/2 - 211*r**3/6 + 2*r**2 - 335*r - 5. Find q such that a(q) = 0.
-4/5, 1/27
Suppose 1382*z = 1425*z - 86. Factor -1/2*s**4 + 0*s + 0 + 0*s**z + 5/2*s**3.
-s**3*(s - 5)/2
Suppose -329/10*u - 1/10*u**3 - 17/5*u**2 - 98 = 0. What is u?
-20, -7
Let r = 197 + -194. Factor 1348*d - 4*d**r + 12*d**2 + 8*d**2 - 1364*d.
-4*d*(d - 4)*(d - 1)
Let n(l) be the second derivative of 9/7*l**2 - 26/21*l**3 - 56*l - 1 - 1/14*l**4. Factor n(i).
-2*(i + 9)*(3*i - 1)/7
Let q(z) = 12*z**3 + 2246*z**2 + 2406*z + 1202. Let p(b) = b**3 + 104*b**2. Let m(a) = -10*p(a) + q(a). Factor m(j).
2*(j + 1)**2*(j + 601)
Let y be (835/(-140) + 6)/((-39)/(-436)). Let q = -6/91 + y. Factor 0 - q*p**2 + 2/3*p.
-p*(p - 2)/3
Find v such that 9/11*v**4 + 3/11*v**2 + 20/11*v - 12/11 - 19/11*v**3 - 1/11*v**5 = 0.
-1, 1, 2, 6
Let b(a) be the third derivative of a**8/168 + 44*a**7/105 - 8*a**6/5 - 91*a**5/15 + 95*a**4/12 + 46*a**3 + 356*a**2 - 3. Let b(u) = 0. What is u?
-46, -1, 1, 3
Factor -10 + 9693*p**3 + 7 - 9938*p**3 + 280*p**2 - 25*p - 7.
-5*(p - 1)*(7*p - 2)*(7*p + 1)
Let w be (6/(-140))/(188/1880) + (-3418)/(-70). Factor 44/5*v**3 + 0 + 0*v - w*v**2 - 2/5*v**4.
-2*v**2*(v - 11)**2/5
Suppose -6*y = -0*y - 192. Suppose y = 4*v - 5*z, 2*v + 5*z + 7 = -7. Factor v*u**3 + 6*u**2 - 2*u - 6*u + 8*u.
3*u**2*(u + 2)
Let w be (24/3270)/((-54)/15). Let n = w + 1988/12753. Factor 2/13*m**2 + 0 - n*m.
2*m*(m - 1)/13
Suppose -24/7*o + 2/7*o**4 + 24/7*o**3 + 10*o**2 - 72/7 = 0. Calculate o.
-6, -1, 1
Let l(k) = 30*k**4 - 12*k**3 + 18*k**2 + 4. Let s(q) = 67*q**4 - 24*q**3 + 36*q**2 + 9. Let z(g) = 9*l(g) - 4*s(g). Solve z(y) = 0.
0, 3
Suppose 9*y - 116 = 19. Suppose y*x + 10*x = 0. Factor 2/19*c**4 + 4/19*c - 2/19 - 4/19*c**3 + x*c**2.
2*(c - 1)**3*(c + 1)/19
Factor p**3 - p - 1/6*p**4 + 1/6*p**2 + 0.
-p*(p - 6)*(p - 1)*(p + 1)/6
Find s such that 76 + 20*s**3 + 2*s**3 + 586*s - 4 - 1442*s + 658*s + 37*s**2 - 5*s**4 = 0.
-3, 2/5, 3, 4
Let f(b) be the second derivative of 1/21*b**7 + 19/15*b**6 + 35/3*b**4 + 343*b**2 + 0 - 539/3*b**3 + 6*b + 53/5*b**5. Factor f(r).
2*(r - 1)**2*(r + 7)**3
Let s(q) = 727*q**3 + 323*q**2 - 14*q + 8. Let p(z) = 485*z**3 + 215*z**2 - 15*z + 5. Let r(a) = -8*p(a) + 5*s(a). Factor r(h).
-5*h*(7*h - 2)*(7*h + 5)
Let s(a) be the first derivative of -7/3*a**2 - 13/9*a**3 + 336 + 0*a + 1/12*a**4. Factor s(j).
j*(j - 14)*(j + 1)/3
Suppose -4*c = 16, -23*c - 2*c = 4*f - 3*c + 80. Suppose -3/5*p**3 - 12/5 - 1/5*p**5 + 28/5*p - 17/5*p**f + p**4 = 0. What is p?
-2, 1, 2, 3
Let t(r) be the first derivative of 3 + 1/48*r**4 + 4*r**2 + 1/180*r**5 + 0*r + 1/36*r**3. Let z(q) be the second derivative of t(q). Factor z(l).
(l + 1)*(2*l + 1)/6
Let l = -175 - -397. Let -55*m**2 + l*m**3 - 434*m**3 + 25*m**4 + 152*m**3 + 30*m = 0. What is m?
-1, 0, 2/5, 3
Let s(x) be the first derivative of -1/2*x**3 + 0*x**2 - 3*x + 1/4*x**4 + 20. Let r(p) be the first derivative of s(p). Determine u, given that r(u) = 0.
0, 1
Let r(b) be the first derivative of 3*b**4 + 70*b**3/3 - 372*b**2 + 1278*b - 3180. Find v such that r(v) = 0.
-71/6, 3
Let r(f) = -6070*f - 72835. Let v be r(-12). What is x in 2/5*x**v - 4/5*x**3 - 4/5*x**4 + 8/5*x**2 - 4/5 + 2/5*x = 0?
-1, 1, 2
Suppose -q + 3*q - 3*c - 8 = 0, 0 = 2*c. Suppose -5*a - 2*a**4 + 9*a**3 - q*a**4 + 5*a**4 - 6 - 21*a**2 + 24*a = 0. What is a?
1, 6
Let g(o) be the third derivative of 2/15*o**4 - 2/5*o**3 - 7/300*o**5 + 0*o + 1/600*o**6 - 1 - 36*o**2. Find s such that g(s) = 0.
2, 3
Determine j, given that 140/3 - 34/3*j + 2/3*j**2 = 0.
7, 10
Let i = -10 - -16. Let t be 1 + (-7)/i + (-42886)/(-492). Solve -15*a - 87 + t + 3*a**2 = 0.
0, 5
Let v be 11/13 - (-30)/195. Let s be 1 + v + -1 + 2/1. Let 5*p**4 - 11*p - 9*p - 2*p**3 + 2*p**3 + 15*p**s = 0. What is p?
-2, 0, 1
Let a(i) be the second derivative of i**5/4 - 275*i**4/3 + 29120*i**3/3 + 125440*i**2 + 39*i - 5. Solve a(l) = 0.
-4, 112
Factor 104*w + 42 - 5*w**2 + 58*w - 202*w - 57 - 60.
-5*(w + 3)*(w + 5)
Let x = 507 + -498. Let g = 9 - x. Suppose 0*u + g - 3*u**2 - 9*u**3 - 27/4*u**4 = 0. Calculate u.
-2/3, 0
Suppose -10733 = -5859*u - 3900 + 4885. Factor 6/7*y**u - 2/21*y**4 + 8/21 - 2/21*y**3 - 22/21*y.
-2*(y - 1)**3*(y + 4)/21
Let x = -189 + 201. Find t, given that 13*t**2 - x + 233*t - 3*t**2 - 231*t = 0.
-6/5, 1
What is n in -64*n**2 + 1/3*n**4 + 194/3*n + 62/3*n**3 - 65/3 = 0?
-65, 1
Let f(s) = 10*s**5 - 15*s**4 + 80*s**3 - 70*s**2 - 5. Let z(d) = 3*d**5 - 2*d**4 - d**3 + d**2 - 1. Let m(c) = -f(c) + 5*z(c). Solve m(b) = 0 for b.
-5, 0, 1, 3
Let k(v) = 2*v**4 + v**3 - 2*v - 1. Let o(w) = 2*w**4 + 52*w**3 - 378*w**2 + 810*w - 486. Let x(u) = 2*k(u) - o(u). Let x(q) = 0. What is q?
1, 2, 11
Let i(o) be the second derivative of o**4/96 + 3*o**3/4 - 37*o**2/16 - 1231*o. Let i(y) = 0. What is y?
-37, 1
Factor 0*s + 3/4*s**4 + 0 - 579/2*s**2 + 1155/4*s**3.
3*s**2*(s - 1)*(s + 386)/4
Factor 0 - 62/9*c**2 - 2/9*c**4 - 22/9*c**3 - 14/3*c.
-2*c*(c + 1)*(c + 3)*(c + 7)/9
Factor -5*m + 71 + 102*m + m**2 - 169.
(m - 1)*(m + 98)
Let g = 15090435 - 60050271/4. Factor -g - 3/4*p**3 - 423/4*p**2 - 19881/4*p.
-3*(p + 47)**3/4
Let j(t) be the second derivative of 0*t**2 + 10*t + 3/10*t**5 + 3/16*t**4 + 13 + 2/15*t**6 + 0*t**3. Factor j(d).
d**2*(4*d + 3)**2/4
Suppose 7*z = 2*z + 2*h + 25, -4*z = -4*h - 32. Suppose 3*d + 3*o = -3, 0 = -3*d - z*o - 2*o - 11. Factor 3*a**2 + a**d + 0*a**2 - 3*a**2 - a.
a*(a - 1)*(a + 1)
Suppose -5*b + 4 = s, -3*b - 4*s = 2 - 1. Suppose -5*v - 2*q + 8 = q, -3*v + 2*q = -b. Factor v + 20*u + 10*u**2 + 16*u**2 - 50*u**2 + 3.
-4*(u - 1)*(6*u + 1)
Let b(r) be the second derivative of -19/2*r**2 - 1/300*r**5 + 0 + 1/40*r**4 - 1/15*r**3 - 10*r. Let c(m) be the first derivative of b(m). Factor c(v).
-(v - 2)*(v - 1)/5
Let -240*g + 0*g**5 - 142*g**2 + 20*g**3 - 4*g**5 - 40*g**4 + 398*g**2 + 8*g**3 = 0. What is g?
-10, -3, 0, 1, 2
Factor -206*f - 196*f - 4*f**2 - 12 + 386*f.
-4*(f + 1)*(f + 3)
Let s be (0 + 0 + (-262)/26)*2. Let d = s - -2960/143. Factor d*c**2 + 2/11*c**3 - 8/11 + 0*c.
2*(c - 1)*(c + 2)**2/11
Let s = 435609/8 - 54444. Factor 21/8*a**4 + s*a**3 + 75/8*a**2 + 3/8*a**5 + 6*a + 3/2.
3*(a + 1)**3*(a + 2)**2/8
Find s such that 404 + 36*s + 3*s**2 - 787 + 383 = 0.
-12, 0
Factor -24*z**2 - 39*z - 130*z - 4*z**4 + 153*z + 32 + 20*z**3.
-4*(z - 2)**3*(z + 1)
Let i be 4/6 - (-16)/12. Let b = 12638 + -25251/2. Let -15/2*g**i + 5 - b*g = 0. Calculate g.
-2, 1/3
Let b be (6/8)/((4 - -2)/251088). Find a, given that -31386*a**2 + 4*a**3 + b*a**2 = 0.
0
Let u = -228557 + 229439. Factor -u - 42*k - 1/2*k**2.
-(k + 42)**2/2
Let u(q) be the third derivative of -q**6/360 - 16*q**5/9 - 637*q**4/72 - 53*q**3/3 + 53*q**2 + 65. Factor u(p).
-(p + 1)**2*(p + 318)/3
Factor 93750 + 2/3*t**2 + 500*t.
2*(t + 375)**2/3
Suppose -1616/5*i**2 - 2/5*i**5 + 0 - 124/5*i**4 + 792/5*i**3 + 1088/5*i = 0. What is i?
-68, 0, 2
Let l(g) be the third derivative of -g**8/504 - 1024*g**7/315 - 65536*g**6/45 + 15*g**2 - 38. What is v in 