Factor 3*u**2 - 3*u**4 + 4*u**3 + 1/2*u**n - 9/2*u + 0.
u*(u - 3)**2*(u - 1)*(u + 1)/2
Let a = 243942 + -2195476/9. Factor 22/9 + 20/9*g - a*g**2.
-2*(g - 11)*(g + 1)/9
Suppose 3*t + u + 24 - 33 = 0, -12 = -4*t - 2*u. Factor 2/11*v**t + 26*v - 46/11*v**2 - 22.
2*(v - 11)**2*(v - 1)/11
Let c(r) = r**2 - 4*r - 56. Let o be c(10). Factor -587*w**2 + o*w**3 + w**3 + 627*w**2.
5*w**2*(w + 8)
Let i(u) be the third derivative of u**7/7560 - u**6/2160 + 65*u**4/8 + 3*u**2. Let f(a) be the second derivative of i(a). Factor f(s).
s*(s - 1)/3
Let k(y) = -36*y**2 - y - 7 + 39*y**2 + 2 - 4 - 23. Let j be k(4). Solve 0*b**2 - 15/2*b**5 + 27*b**4 + 0 + j*b**3 + 0*b = 0.
-2/5, 0, 4
Let g be 114/(-1596)*(-6)/30. Let c(i) be the second derivative of 0 - 1/14*i**4 + 40*i - 1/7*i**3 - 1/7*i**2 - g*i**5. Determine p so that c(p) = 0.
-1
Let a(p) be the first derivative of 2*p**3/9 + 682*p**2 - 4094*p/3 + 8495. Factor a(c).
2*(c - 1)*(c + 2047)/3
Let y = -3097771/10 - -309778. Suppose 12/5 + y*f**2 - 17/5*f + 1/10*f**3 = 0. Calculate f.
-12, 1, 2
Solve 1708249/2 + 1/2*v**2 + 1307*v = 0.
-1307
Let t = 346814 - 346809. Suppose 26/5*u**2 - 8/5*u**t + 0 - 76/5*u**3 + 46/5*u**4 + 12/5*u = 0. What is u?
-1/4, 0, 1, 2, 3
Let q(t) = -117*t**2 - 1018*t - 259083. Let i(u) = -58*u**2 - 1. Let x(o) = -2*i(o) + q(o). Factor x(g).
-(g + 509)**2
Determine s, given that -3*s**2 + 3/7*s**3 - 36/7 + 48/7*s = 0.
2, 3
Let k be (-5)/(-3) + 1/(-3). Suppose 1698*c = 1696*c + 4. Solve 2*n**c + k - 2/3*n**4 + 10/3*n - 2/3*n**3 = 0.
-1, 2
Factor 14*h + 188*h**2 + 0 - 27/2*h**3.
-h*(h - 14)*(27*h + 2)/2
Suppose 7*z + j = 4*z + 88, 4*z - 3*j = 126. Solve k**2 + 32 + 20 + 16*k + 0 + z - 18 = 0.
-8
Suppose -20*n + 21*n - 3*n**2 - 208 + 5*n**2 + 49*n + 50*n = 0. Calculate n.
-52, 2
Let n(c) be the second derivative of 5*c**7/42 + 5*c**6/3 + 33*c**5/4 + 15*c**4 + 8*c - 361. Factor n(y).
5*y**2*(y + 3)**2*(y + 4)
Let w(b) = -45*b - 176. Let a be w(-4). Factor -39*d**3 + 900*d**4 - 1793*d**4 - 33*d + 896*d**a + 69*d**2.
3*d*(d - 11)*(d - 1)**2
Let l = 9112/73 + -44246/365. Factor 2/5*g**4 - l*g**3 - 6/5*g**2 + 10*g + 36/5.
2*(g - 9)*(g - 2)*(g + 1)**2/5
Let q(c) be the second derivative of -9/10*c**3 + 1/5*c**4 - 29 + 7/5*c**2 + 2*c + 1/100*c**5. Factor q(k).
(k - 1)**2*(k + 14)/5
Let l(y) = -5*y**3 - 74*y**2 + 441*y - 2. Let j(c) = 21*c**3 + 297*c**2 - 1767*c + 9. Let u(w) = 2*j(w) + 9*l(w). Factor u(q).
-3*q*(q - 5)*(q + 29)
Let u(g) = 9*g**2 + 133*g - 144. Let r(i) = 56*i**2 + 797*i - 866. Let h(n) = -2*r(n) + 13*u(n). Factor h(x).
5*(x - 1)*(x + 28)
Let o(b) be the second derivative of 0*b**3 - 43 + 2*b + 1/3*b**4 - 8*b**2. Factor o(k).
4*(k - 2)*(k + 2)
Let n(a) be the second derivative of -a**6/75 + 217*a**5/50 + 109*a**4/15 + 38*a - 12. Factor n(l).
-2*l**2*(l - 218)*(l + 1)/5
Let z be 6/87 + 179172/263088. Suppose z*i + 1/4*i**5 + 0*i**4 - i**3 + 1/2*i**2 - 1/2 = 0. Calculate i.
-2, -1, 1
Suppose -15 = 104*q - 109*q. Suppose 5 + 4 = q*n - 3*i, 0 = -5*n - 2*i + 15. Find x such that -20*x**n - 245*x**4 + 16*x**2 + 16*x**2 + 245*x**5 - 12*x**2 = 0.
-2/7, 0, 2/7, 1
Let v(m) be the first derivative of -m**5/120 + 5*m**4/6 - 100*m**3/3 - 63*m**2/2 - 16. Let z(x) be the second derivative of v(x). Let z(n) = 0. Calculate n.
20
Let u(p) = -4*p**3 + 80*p**2 - 76*p - 158. Let l(s) = -s**3 - 2*s**2 + s + 3. Let w(f) = -2*l(f) + u(f). Solve w(j) = 0 for j.
-1, 2, 41
Let a be 100/180*24/10. Let t = -3100 - -3102. Factor 16/3 + a*g**3 + 12*g + 8*g**t.
4*(g + 1)**2*(g + 4)/3
Let p(c) = -7*c**3 + 88*c**2 + 563*c - 6796. Let u be p(13). Solve 60*s + 72 + 4/3*s**3 + u*s**2 = 0 for s.
-6, -3
Let f(y) = 16*y - 48. Let p be f(12). Let -72 + 66 + p*b - 4*b**2 - 60 - 74 = 0. What is b?
1, 35
Let t be (-8 - 12/9)*6/(-8). Let w(l) be the second derivative of 0 - 8*l**2 - 31/3*l**4 - 40/3*l**3 - 3*l**5 - t*l. Let w(p) = 0. What is p?
-1, -2/3, -2/5
Let z(g) be the first derivative of g**4/20 - 7*g**3/15 + g**2/5 + 8*g + 2616. Let z(o) = 0. Calculate o.
-2, 4, 5
Let g(n) = -10*n**2 - 104*n + 1670. Let v(j) = j**2 - j + 1. Let k = -95 + 83. Let s(a) = k*v(a) - g(a). Factor s(q).
-2*(q - 29)**2
Let q = -73 - -211. Let f = q - 134. Find u, given that 7/4*u**5 - 2*u + 3*u**2 + 23/2*u**3 + 0 + 33/4*u**f = 0.
-2, -1, 0, 2/7
Let s = -150921/4 - -1056455/28. Suppose s*a**4 + 22/7 + 4*a**3 + 68/7*a + 72/7*a**2 = 0. Calculate a.
-11, -1
Let l(b) = -b**2 + 486*b - 461. Let f(o) = -4*o**2 + 1452*o - 1384. Let u(g) = 3*f(g) - 8*l(g). Factor u(z).
-4*(z - 116)*(z - 1)
Let -4721929/4 - 1/4*w**2 + 2173/2*w = 0. What is w?
2173
Let s be 60 + (-16032)/270 - (-2)/(-9). Factor s*z**2 + 2/15*z**3 - 8/15 + 0*z.
2*(z - 1)*(z + 2)**2/15
Let l be (-8 - (-71)/8)*16. Let f(a) be the second derivative of -2/15*a**2 + 1/15*a**3 - l*a - 1/90*a**4 + 0. Determine c, given that f(c) = 0.
1, 2
Factor 1/5*u**3 - 329/5*u + 0 + 8*u**2.
u*(u - 7)*(u + 47)/5
Solve 70*v - 70*v**3 + 80*v**2 + 687 + 0*v**4 - 762 - 5*v**4 = 0 for v.
-15, -1, 1
Find r, given that 104/7*r - 26/7*r**3 + 48 - 2/7*r**4 - 76/7*r**2 = 0.
-7, -6, -2, 2
Let y(c) be the third derivative of -c**8/10080 - 11*c**7/2520 - 77*c**5/60 + 23*c**2. Let p(a) be the third derivative of y(a). Find i, given that p(i) = 0.
-11, 0
Let g(s) be the first derivative of -3*s**4 + 219 + 2/3*s**6 + 0*s - 8/5*s**5 + 0*s**2 + 0*s**3. Factor g(o).
4*o**3*(o - 3)*(o + 1)
Let z(k) = -2*k**3 - 14*k**2 - 2*k + 2. Let d(p) = -10*p**3 - 70*p**2 - 11*p + 11. Suppose 0 = -86*q + 73*q + 143. Let m(o) = q*z(o) - 2*d(o). Factor m(c).
-2*c**2*(c + 7)
Factor -310288733/6 + 1/6*l**3 - 677/2*l**2 + 458329/2*l.
(l - 677)**3/6
Let a(g) be the first derivative of 0*g + 0*g**3 + 7/120*g**5 + 28 + 1/24*g**4 + 1/80*g**6 + 29/2*g**2. Let x(d) be the second derivative of a(d). Factor x(z).
z*(z + 2)*(3*z + 1)/2
Let h be ((-39050)/(-2485))/((24/(-420))/(1/(-20))). Factor h*x**2 - 57/4*x + 9/4 + 121/4*x**3.
(x + 1)*(11*x - 3)**2/4
Factor 0 - 72/5*f - 168/5*f**2 - 10*f**3 - 4/5*f**4.
-2*f*(f + 6)**2*(2*f + 1)/5
Let g = -889864/7 - -127124. Determine b so that 4/7*b**3 + 2/7*b**4 + 16/7 - 18/7*b**2 - g*b = 0.
-4, -1, 1, 2
Let h(b) = b**2 - 7*b + 12. Let x be h(5). Suppose -7*g + 13 + 1 = 0. Factor 4*o**3 - 20*o + 45*o**g + 0*o - 165*o**x + 61*o**3.
5*o*(o - 2)*(13*o + 2)
Let b = -68980 + 68982. Find j such that 0*j + 0*j**4 - 4/17*j**b + 6/17*j**3 - 2/17*j**5 + 0 = 0.
-2, 0, 1
Suppose 31*f - 490 + 965 = 568. Suppose 0*s**f + 50/11*s**2 + 12/11*s - 30/11*s**4 + 8/11*s**5 + 0 = 0. Calculate s.
-1, -1/4, 0, 2, 3
Factor -40/3*v**2 + 0 - 2/9*v**3 + 0*v.
-2*v**2*(v + 60)/9
Let l = 4295 - 4293. Let j(t) be the second derivative of -4/7*t**l - 1/42*t**4 - 5/21*t**3 + 17*t + 0. Find a, given that j(a) = 0.
-4, -1
Suppose 3*u - 97*h = -101*h - 8, 0 = -2*u - h - 2. Suppose 0 + 12 = 3*s - 2*n, u = 4*s - 3*n - 17. Factor -2/7*o**s + 2/7 + 4/7*o**3 - 4/7*o.
2*(o - 1)*(o + 1)*(2*o - 1)/7
Let a = 2708 - 2704. Let x(r) be the third derivative of 1/270*r**5 + 0 + 0*r + 13*r**2 - 1/36*r**a + 0*r**3. Factor x(b).
2*b*(b - 3)/9
Let b(g) = -2*g**5 - 154*g**4 - 1124*g**3 + 6*g**2 - 6*g. Let y(o) = -o**5 - 154*o**4 - 1125*o**3 + 4*o**2 - 4*o. Let j(m) = 4*b(m) - 6*y(m). Factor j(x).
-2*x**3*(x - 161)*(x + 7)
Let l = 669 - 2506. Let m = l - -1839. Suppose 242/7 + 688/7*c**3 - 1892/7*c + 32/7*c**4 + 3522/7*c**m = 0. What is c?
-11, 1/4
Suppose 3*p + 2302*v = 2305*v + 93, 0 = p + 2*v - 34. Find u, given that 12*u**5 + p*u - 28*u**4 + 16/3 - 68/3*u**3 + 44*u**2 = 0.
-1, -1/3, 2
Let m = -8 - -25. Find a, given that m*a**5 + 20*a**5 - 6*a**3 + 7*a**4 - 34*a**5 = 0.
-3, 0, 2/3
Let l(c) be the first derivative of -c**4 - 12*c**3 + 546*c**2 - 4508*c - 14. Let l(p) = 0. Calculate p.
-23, 7
Let y(j) = -18*j**3 - 6*j + 7 + 13 - 33*j**2 - 14 + 0*j**4 - 3*j**4. Let d(a) = -a**2 + a + 1. Let o(u) = 6*d(u) - y(u). What is l in o(l) = 0?
-4, -1, 0
Factor -1084*k + 5*k**3 - 6654 - k**3 + 7662 + 72*k**2.
4*(k - 9)*(k - 1)*(k + 28)
Let j(p) be the first derivative of 169*p**5/10 - 4407*p**4/2 + 231194*p**3/3 - 35256*p**2 + 5408*p - 1585. Determine w, given that j(w) = 0.
2/13, 52
Let o(u) be the second derivative of 2*u**5/45 + 107*u**4/54 - 139*u**3/27 + 28*u**2/9 - 2979*u. Factor o(y).
2*(y - 1)*(y + 28)*(4*y - 1)/9
Suppose 0 = 293*a - 35*a + 132 - 648. Factor 0 + 14/9*p**