*l. Find a, given that x(a) = 0.
-3, -1/3
Suppose 232/15*g**3 - 2/15*g**5 + 0*g + 0*g**2 + 0 - 46/3*g**4 = 0. Calculate g.
-116, 0, 1
Suppose -22*i + 15744 = -104*i. Let u be (1/(-18))/((-756)/i - 4). Factor 2/9*x**2 - u*x + 0.
2*x*(x - 4)/9
Factor 413449/4 + 643/2*s + 1/4*s**2.
(s + 643)**2/4
Solve 18508/9*p + 188/9*p**4 + 1300/3*p**2 - 2252/9*p**3 + 392/9 = 0.
-2, -1/47, 7
Suppose -21 = -3*j, 135*y = 138*y - j - 5. Let l(m) be the third derivative of 5/72*m**y - 6*m**2 + 2/9*m**3 + 1/180*m**5 + 0 + 0*m. Factor l(d).
(d + 1)*(d + 4)/3
Factor 5*a + 13/2*a**2 + 1/2*a**3 - 12.
(a - 1)*(a + 2)*(a + 12)/2
Let l = 820531/5 - 164105. Determine m, given that 0*m**2 + 4/5 - 2/5*m**3 + l*m = 0.
-1, 2
Suppose 6*n = 13*n - 84. Determine u so that 83*u**2 - 184*u**4 - n*u**5 + 676*u - 560*u**2 - 128*u**2 - 152 - 182*u**2 - 317*u**2 + 776*u**3 = 0.
-19, 2/3, 1
Solve -56/5*s + 0 + 64/5*s**2 + 2/5*s**4 - 22/5*s**3 = 0 for s.
0, 2, 7
Let h(c) = c**2 - 24*c + 14. Let m(t) = 1 + 22*t + t - 14. Let b = 8655 - 8649. Let u(k) = b*m(k) + 5*h(k). Factor u(n).
(n + 4)*(5*n - 2)
Factor -612*p - p**2 - 2010 + 4556 - 2546.
-p*(p + 612)
Suppose 252 + 404 = 8*b. Factor -41*r**2 + 41*r - 37*r - 2*r**3 + b*r**2 - 43*r**2.
-2*r*(r - 1)*(r + 2)
Let j be 2 - (-54)/15 - (0 - -4). Let l be (4 - 3)*6 + (8 - (19 - 9)). Suppose -12/5*w**l + 4/5*w**3 + 4*w**2 - 4/5*w - j = 0. Calculate w.
-1, -2/3, 1
Let n(p) be the first derivative of p**8/336 - p**6/20 - 2*p**5/15 - p**4/8 + p**2 + 16*p + 33. Let l(o) be the second derivative of n(o). Factor l(s).
s*(s - 3)*(s + 1)**3
Let u(g) = 3*g**3 - 13*g**2 - 2*g + 2. Let d(n) = n**3 + 57 - 34 - 24 - 2*n. Let t(s) = -5*d(s) + u(s). Factor t(c).
-(c - 1)*(c + 7)*(2*c + 1)
Let m(f) = f**2 + 5*f + 385. Let x be m(0). Find r, given that 2*r**2 + 388 + x - 765 + 8*r = 0.
-2
Let u be 4/(-2)*((-29)/10 - (-196)/490). What is f in 12/7 - 12/7*f**2 + 2*f - 16/7*f**3 + 0*f**4 + 2/7*f**u = 0?
-2, -1, 1, 3
Let o(n) = 4*n**3 - 2*n**2 - 4*n - 4. Let t(w) = -w**3 + w + 1. Suppose 20*r = 27 - 7. Suppose 4*i = 21 + 3. Let b(m) = i*t(m) + r*o(m). Factor b(k).
-2*(k - 1)*(k + 1)**2
Let w(l) = -l**2 + 13*l + 28. Let q be w(15). Let a be (7/7)/((-4)/q)*32. Factor -5*g**4 - 12*g**3 + 15*g**2 + a*g**4 - 6*g - 4*g**4 - 4*g**4.
3*g*(g - 2)*(g - 1)**2
Let b(q) be the first derivative of 19*q**6/27 - 22*q**5/9 + 17*q**4/6 - 26*q**3/27 - 2*q**2/9 + 191. Let b(c) = 0. What is c?
-2/19, 0, 1
Suppose 10*r = -0*r. Suppose 4*a - 2*a + 8 = 0, 3*b + 3*a + 6 = r. Suppose 0*u**3 - 3 - 5*u - u**3 + 0*u**3 + 6*u + 3*u**b = 0. What is u?
-1, 1, 3
Let k(x) be the third derivative of 1/120*x**5 + 0 - 77*x**2 + 0*x + 4225/12*x**3 - 65/24*x**4. Factor k(n).
(n - 65)**2/2
Let a(b) be the second derivative of -b**6/1980 - b**5/660 + 5*b**3/3 + 44*b. Let q(d) be the second derivative of a(d). Factor q(i).
-2*i*(i + 1)/11
Factor 14765025303/5 + 3/5*m**3 + 15309/5*m**2 + 26040609/5*m.
3*(m + 1701)**3/5
Let b(z) = -4*z**2 + 62*z - 103. Let q(u) = -2*u**2 + 36*u - 52. Let x(a) = 2*b(a) - 5*q(a). Let x(j) = 0. Calculate j.
1, 27
Let u(y) = 243 - 261 - 2*y - 12*y + y**3 + 3*y**2. Let x be u(-5). Factor -2/7*q**x + 0 + 8/7*q.
-2*q*(q - 4)/7
Factor 136/9*l + 1148/9 - 4/9*l**2.
-4*(l - 41)*(l + 7)/9
Let z(d) = 8*d**2 + 3538*d + 3365. Let l(o) = 11*o**2 + 4717*o + 4481. Let c(t) = -11*l(t) + 15*z(t). Let c(n) = 0. Calculate n.
-1, 1184
Let v = 458203/9 + -50911. Suppose -10/9*l**2 - v + 2*l + 14/9*l**4 - 2*l**3 = 0. What is l?
-1, 2/7, 1
Solve -246/5 - 249/5*r - 3/5*r**2 = 0.
-82, -1
Factor -2/3*q**3 + 106/3*q - 16/3*q**2 + 40.
-2*(q - 5)*(q + 1)*(q + 12)/3
Let j be 7 - 16/168*21. Let h(v) be the third derivative of -4/15*v**3 + 0 + 1/150*v**j + 0*v + 24*v**2 + 0*v**4. Factor h(w).
2*(w - 2)*(w + 2)/5
Factor -126 + 105468*j**3 + 68 - 105466*j**3 - 36*j**2 - 206 + 178*j.
2*(j - 11)*(j - 4)*(j - 3)
Let m be ((-105)/(-54) - 3)*-3 - (-4 + 3). Suppose -5*u - 2*t = -48, 4*t = -2*u + 27 - 11. Factor -5/3 - 15/2*j - m*j**3 - u*j**2.
-5*(j + 1)**2*(5*j + 2)/6
Let 1/4*u**2 - 375/2 - 373/4*u = 0. What is u?
-2, 375
Suppose -4 - 41 = -3*o. Factor 0*r**2 + 5*r**2 + 22 + 15*r + o*r + 23.
5*(r + 3)**2
Suppose -7*m + 6*m = -5*f + 72, -4*m = 8. Let h be (-46)/30*((4 - 23) + f). Factor -h*i**2 + 10/3*i - 5/3*i**3 + 0.
-i*(i + 5)*(5*i - 2)/3
Suppose -27*x - 118 = -280. Let l(w) be the third derivative of -1/60*w**x + 0*w**4 + 0*w**3 + 0*w**5 + 0 + 0*w + 6*w**2. Solve l(v) = 0.
0
Let s = -738 + 742. Let x(a) be the third derivative of 2/63*a**s + 0 + 11*a**2 + 1/90*a**5 + 0*a + 1/1260*a**6 - 16/63*a**3. Solve x(u) = 0 for u.
-4, 1
Factor -2/3*b**4 + 0*b + 0 + 0*b**2 + 8*b**3.
-2*b**3*(b - 12)/3
Let j(f) = f**2 - 8*f - 148. Let y be j(17). Suppose -3*d - 10 = y*u, -3*d - u - 79 = -89. Solve 0*i - 2/3*i**d + 14/3*i**2 + 2/3*i**3 - 8/3 - 2*i**4 = 0.
-2, -1, 1
Let b(n) be the second derivative of n**9/75600 - n**8/5600 - n**7/1800 - 33*n**4/4 + 25*n. Let x(l) be the third derivative of b(l). Factor x(c).
c**2*(c - 7)*(c + 1)/5
Let d = 79 + -19. Let n be (-33)/(-6) - 9/12*2. Determine u, given that 209/2*u**3 + 30*u + 4 + 83*u**2 + 25/2*u**5 + d*u**n = 0.
-2, -1, -2/5
Suppose -192 = 4*x - 5*o, -x - o + 96 = -3*x. Let t be 3/2 - 72/x. Factor l**t + l - 25*l**5 - 3*l**3 + 26*l**5.
l*(l - 1)**2*(l + 1)**2
Suppose -4 = 513*h - 514*h. Let j be 8/h + (-6)/(-5). Factor -j*o - 28/5*o**2 + 16/5 - 8/5*o**3.
-4*(o + 2)**2*(2*o - 1)/5
Let h(a) be the third derivative of 9*a**2 + 0*a**6 + 1/385*a**7 + 5*a + 0*a**3 + 3/22*a**4 + 0 - 7/110*a**5. Let h(u) = 0. What is u?
-3, 0, 1, 2
Suppose 0 = -318*p + 575 - 205 + 266. Factor 2/5*q**p + 0 + 4*q.
2*q*(q + 10)/5
Let t(w) be the second derivative of -4 + 0*w**3 - 1/16*w**2 - 4*w + 1/96*w**4. Factor t(d).
(d - 1)*(d + 1)/8
Let v(m) be the second derivative of -m**4/6 - 1358*m**3 - 4149369*m**2 + 10*m - 46. Solve v(y) = 0 for y.
-2037
Let a(j) = j**2 - 2521*j + 5043. Let s be a(2). Determine d so that 36/11 - 16/11*d**4 + 2/11*d**s + 40/11*d**3 - 20/11*d**2 - 42/11*d = 0.
-1, 1, 2, 3
Suppose -773*l + 298*l = -1425. Factor 15*a**l - 21/4*a**4 + 3/4 + 3*a - 27/2*a**2.
-3*(a - 1)**3*(7*a + 1)/4
Let j be (-518)/(-70) - (1 + (3 - -3)). Let o(b) be the second derivative of -1/15*b**3 - 15*b + 0 - j*b**2 + 1/30*b**4. Suppose o(d) = 0. Calculate d.
-1, 2
Let i = -22 + 85. Suppose 3*l = -3*r + i, 3*r = -r + 4*l + 76. Determine t, given that 7*t**2 - 20*t + 45*t**3 + 12 - r*t**3 - 23*t**3 - t**4 = 0.
-3, 1, 2
Let g(k) be the second derivative of 0 - 5/6*k**3 + 72*k - 4*k**2 - 1/24*k**4. Factor g(h).
-(h + 2)*(h + 8)/2
Let s(z) be the first derivative of z**8/1680 + z**7/140 + z**6/72 + 8*z**3 + 73. Let i(r) be the third derivative of s(r). Find w, given that i(w) = 0.
-5, -1, 0
Factor -482162/3 - 2/3*b**2 - 1964/3*b.
-2*(b + 491)**2/3
Let d(f) = 28*f**3 - 238*f**2 + 490*f - 132. Let a(r) = r**2 - r + 2. Let t(w) = 6*a(w) + d(w). Factor t(q).
4*(q - 5)*(q - 3)*(7*q - 2)
Let k be ((-15)/((-900)/15) + (-99)/588)/((-4)/(-42)). Suppose -2/7*s**2 + 20/7 + k*s = 0. What is s?
-2, 5
Let j(n) be the second derivative of -5*n**7/42 - 158*n**6/3 - 8425*n**5 - 1569880*n**4/3 - 11573120*n**3/3 - 11248640*n**2 + 7297*n. Factor j(l).
-5*(l + 2)**2*(l + 104)**3
Suppose -90*c + 86 = -16*c - 210. Let k(u) be the first derivative of -1/10*u**2 - 1/15*u**3 + 6/5*u + c. Find t such that k(t) = 0.
-3, 2
Determine d, given that 138/5 + d**2 + 233/5*d = 0.
-46, -3/5
Find g, given that -2 + 82 - 37*g**2 + 50*g - 38*g**2 - 5*g**4 + 10*g**3 + 0*g**3 - 60*g**3 = 0.
-8, -2, -1, 1
Factor -8 - 2/5*d + 2/5*d**2.
2*(d - 5)*(d + 4)/5
Let g(p) be the second derivative of -2*p**6/105 + 1196*p**5/35 - 22686*p**4 + 6004152*p**3 + 18148914*p**2 + 5477*p. Factor g(a).
-4*(a - 399)**3*(a + 1)/7
Factor -50460*j**2 + 0*j**4 - 447418*j - 5*j**4 - 528142*j - 363*j**3 - 507*j**3.
-5*j*(j + 58)**3
Let k(j) = -j**3 - 17*j**2 - 39*j - 84. Let x be k(-15). Solve x*a**3 + 13*a**2 + 20*a - a**2 - 50*a**3 = 0 for a.
-10, -2, 0
Let k be 8 + ((-86)/22 - 13/143). Let c(g) be the third derivative of 0 - 1/150*g**6 - 10*g**2 + 0*g**k + 0*g - 1/525*g**7 + 0*g**3 - 1/150*g**5. Factor c(i).
-2*i**2*(i + 1)**2/5
Let s(v) = v**3 - 18*v**2 - 9*v - 35. Let n be s(19). Let -2*f**2 + 155*f - n*f + 7*f**2 = 0. What is f?
0
Let i(a) be the third derivative of -a**8/