 + 5*w**5/2 + 2*w**4/3 + w**3/6 - 21*w. Let l(i) be the third derivative of m(i). Factor l(s).
3*(s + 10)**2
Let m be 3 - (-3988)/16 - (-1)/(-4). Let r be (0 - -2)/(-14) - (-456)/m. Factor -2*w + r + 1/3*w**2.
(w - 5)*(w - 1)/3
Let n(u) be the first derivative of 53 + 2*u**2 + 1/3*u**3 + 4*u. Factor n(m).
(m + 2)**2
Let o(l) = l**2 - 578*l + 4. Let b(t) = -9*t**2 + 5781*t - 42. Let n(y) = 2*b(y) + 21*o(y). Factor n(k).
3*k*(k - 192)
Let f(a) be the second derivative of -a**4/4 - 293*a**3/2 + 441*a**2 - 1879*a. Factor f(b).
-3*(b - 1)*(b + 294)
Let w be ((-2)/(-6))/(1185/2844). Solve 0 - w*v**3 - 6/5*v**4 - 2/5*v**5 + 0*v + 0*v**2 = 0.
-2, -1, 0
Suppose 10*g - 160 = -10*g. Factor -24 + 212*u**2 + 164*u + 76*u**3 - 187*u**2 - 261*u**2 + g*u**4 + 12*u**4.
4*(u - 1)**2*(u + 6)*(5*u - 1)
Suppose -30 = -f - 3*s, -5526*f - 2*s = -5529*f - 9. Factor 4/15*i + 2/15*i**4 + 2/5*i**f - 2/3*i**2 + 0 - 2/15*i**5.
-2*i*(i - 1)**3*(i + 2)/15
Let x(y) be the third derivative of y + 8/9*y**4 - 82*y**2 + 0*y**3 - 4/45*y**5 + 0 - 7/40*y**6 + 8/315*y**7 - 1/1008*y**8. Determine a so that x(a) = 0.
-1, 0, 1, 8
Suppose 10*s = 9*s + 2. Suppose 5*a**s + 0 + 10 - 30 = 0. Calculate a.
-2, 2
Suppose 5*p + 28 = -n, -4*n - 233649*p + 233654*p + 38 = 0. Factor 30/19*k + 68/19 - 2/19*k**n.
-2*(k - 17)*(k + 2)/19
Let b(j) = 99*j - 3956. Let r be b(40). Factor -2/11*k**r - 2/11*k - 6/11*k**2 + 0 - 6/11*k**3.
-2*k*(k + 1)**3/11
Let h be ((-23517)/(-312))/(-67)*6/(-9). Let 15/2 + 27/4*a - h*a**2 = 0. What is a?
-1, 10
Factor -435/4*u - 111/2*u**2 - 54 - 3/4*u**3.
-3*(u + 1)**2*(u + 72)/4
Let j(y) be the third derivative of y**7/270 + y**6/540 - 28*y**5/135 - 4*y**4/27 + 1060*y**2. Factor j(g).
g*(g - 4)*(g + 4)*(7*g + 2)/9
Suppose 3*a + a + 20 = -4*b, -4*a - 20 = -5*b. Let n be b + -1 + -8 + 9. Factor n - 1/3*q**2 + 1/3*q**3 + 0*q.
q**2*(q - 1)/3
Let t(h) = -h + 40. Let b be t(5). Factor 215*g**4 + b*g + 16*g**3 + 10 + 45*g**2 + 9*g**3 - 210*g**4.
5*(g + 1)**3*(g + 2)
Let f(w) = -6*w + 1. Let o(d) = -3*d**2 + 3*d - 25. Let n(y) = 5*f(y) - o(y). Factor n(s).
3*(s - 10)*(s - 1)
Let p(s) be the third derivative of s**5/140 + 2*s**4/7 + 9*s**3/2 - 60*s**2 + 6*s. Factor p(g).
3*(g + 7)*(g + 9)/7
Let -227*z + 5*z**4 + 467*z - 10944*z**2 + 11174*z**2 - 240*z**3 - 235 = 0. What is z?
-1, 1, 47
Let u(k) be the first derivative of -k**4/2 - 4*k**3/3 + k**2 + 4*k + 800. Factor u(p).
-2*(p - 1)*(p + 1)*(p + 2)
Let n(d) be the first derivative of d**3/12 + 281*d**2/4 + 78961*d/4 + 8002. Determine u so that n(u) = 0.
-281
Let m(b) = b**2 + 22*b + 2. Let p be m(-22). Find s such that 52*s**p + 300 + 70*s - s**3 + 150*s + 5*s**3 = 0.
-5, -3
Let i(s) be the third derivative of 0*s + 3/40*s**6 - s**4 + 11/35*s**7 + 5/112*s**8 + 1 + 6*s**2 + 0*s**3 - 11/10*s**5. Find p, given that i(p) = 0.
-4, -1, -2/5, 0, 1
Let b = -57 - -88. Suppose 53*g - 175 = 290 + 383. Factor -30 + 6*l**2 + 4*l**2 - b*l - 8*l - g*l.
5*(l - 6)*(2*l + 1)
Let y(i) = -i**3 + 46*i**2 - 89*i + 56. Let w be y(44). Suppose w*g - 468 = -432. Factor 9/2*s**2 + 9/2*s**g + 3/2*s**4 + 3/2*s + 0.
3*s*(s + 1)**3/2
Factor 34*i**2 - 3/4*i**3 - 177/4*i + 11.
-(i - 44)*(i - 1)*(3*i - 1)/4
Factor -2/5*h**5 + 6*h + 0 + 84/5*h**3 + 24/5*h**4 + 88/5*h**2.
-2*h*(h - 15)*(h + 1)**3/5
Let v(a) be the first derivative of -4*a**6 - 186*a**5/5 + 99*a**4/4 + 992*a**3 + 4335*a**2/2 + 900*a - 5592. What is n in v(n) = 0?
-5, -3/2, -1/4, 4
Let d be (-2)/(-25) + (-7896)/(-50). Suppose -164*g + d*g = 0. Factor 3/4*q**2 - 3 + g*q.
3*(q - 2)*(q + 2)/4
Let d(f) be the first derivative of -7*f**4/2 - 584*f**3/3 - 1428*f**2 + 864*f + 827. Factor d(p).
-2*(p + 6)*(p + 36)*(7*p - 2)
Let i(z) be the first derivative of z**6/2 - 6*z**5 + 21*z**4/4 + 126*z**3 - 162*z**2 - 648*z - 557. Solve i(p) = 0.
-3, -1, 2, 6
Let u be 7/((-119)/(-66)) - (10 + (-320)/(-170) - 12). Let -2/3*b**u + 14/3*b**3 + 88/3*b + 80/3*b**2 + 0 = 0. What is b?
-2, 0, 11
Let l(o) be the second derivative of -o**4/15 + 76*o**3/15 - 42*o**2 + 23*o + 4. Factor l(f).
-4*(f - 35)*(f - 3)/5
Suppose -143/4*y**2 - 15/4*y - 9/4*y**4 + 0 - 73/4*y**3 = 0. Calculate y.
-5, -3, -1/9, 0
Factor 0 - 38/7*c**3 - 40/7*c**2 - 2/7*c.
-2*c*(c + 1)*(19*c + 1)/7
Let w(u) be the third derivative of u**8/224 - 53*u**6/80 - 27*u**5/5 - 77*u**4/4 - 36*u**3 + 3387*u**2. Solve w(l) = 0 for l.
-4, -2, -1, 9
Suppose 0*a + 5 = 5*a + 5*d, -a = -5*d - 13. Factor -101*x - 43*x - x**2 - a*x**2.
-4*x*(x + 36)
Let q(m) be the second derivative of m**9/12096 + m**8/2240 + m**7/1680 + 5*m**3/6 + 216*m. Let k(n) be the second derivative of q(n). Factor k(h).
h**3*(h + 1)*(h + 2)/4
Let m be 83 - 71 - (-60)/26*-4. Factor -2/13*r**4 - 16/13 - m*r**2 + 14/13*r**3 + 40/13*r.
-2*(r - 2)**3*(r - 1)/13
Let c(t) be the first derivative of t**5 + 1405*t**4/4 + 2795*t**3/3 + 1395*t**2/2 + 5519. Factor c(k).
5*k*(k + 1)**2*(k + 279)
Let h(a) = -15103*a - 166130. Let b be h(-11). Factor 2 - 8/3*i**b - 6*i**2 + 20/3*i.
-2*(i - 1)*(i + 3)*(4*i + 1)/3
Let a = 174383/99668 - -9/24917. Factor -18*q**2 + a*q**3 - 57/4*q + 11/2.
(q - 11)*(q + 1)*(7*q - 2)/4
Let r be 4 - -3 - 4 - (4 - 1676). Let v = 1675 - r. Let v*i**2 + 0 + 1/4*i**4 + i**3 + 0*i = 0. Calculate i.
-4, 0
Factor -24*f**3 - 276*f**2 - 1/8*f**4 - 1440 - 1088*f.
-(f + 4)**3*(f + 180)/8
Let k(l) = -21*l**2 + 3000*l + 749988. Let m(w) = 2*w**2 + 1. Let x(b) = -k(b) - 12*m(b). Factor x(n).
-3*(n + 500)**2
Let c(r) = 10*r**3 - 78*r**2 + 219*r - 84. Let s(d) = -19*d**3 + 159*d**2 - 440*d + 167. Let i(q) = 5*c(q) + 3*s(q). Factor i(u).
-(u - 9)*(u - 3)*(7*u - 3)
Let a be (-867)/(-51) + -27 - -12. Let 0 + 3/2*j**4 - 15/2*j + 33/2*j**a - 21/2*j**3 = 0. What is j?
0, 1, 5
Let r(f) = 13*f - 2*f**3 + 20*f**2 + 27 + 0*f - 69*f**2 + 15*f - 2*f. Let x be r(-25). Solve -1/8*m**4 - 3/2*m**x - m + 0 - 3/4*m**3 = 0 for m.
-2, 0
Let s(t) = -8*t**4 + 28*t**2 + 54*t + 14. Let l(w) = -7*w**4 + 2*w**3 + 30*w**2 + 53*w + 14. Let n(v) = 10*l(v) - 9*s(v). Factor n(k).
2*(k + 1)**3*(k + 7)
Let q be 1 + 4 - 125191/77. Let a = q - -1626. Factor -30/7*d - 6/7*d**2 - a.
-6*(d + 2)*(d + 3)/7
Factor 79*f**2 - 1652*f - 78*f**2 + 235*f**2 - 57*f**2 + 29*f**2 - 96.
4*(f - 8)*(52*f + 3)
Let b = 7 + -5. Let r be 24/144 - (-10)/((-2100)/(-3715)). Factor 16/7*v**3 + r + 90/7*v**b + 200/7*v + 1/7*v**4.
(v + 1)*(v + 5)**3/7
Find x such that 32/3*x**2 - 2*x**4 - 58/9*x**3 + 56/3*x + 32/9 = 0.
-4, -1, -2/9, 2
Let o(d) be the third derivative of d**8/112 + d**7/70 - 13*d**6/20 + 6*d**5/5 + 24*d**2 + 41. Suppose o(a) = 0. What is a?
-6, 0, 1, 4
Let d be (-1786)/210 + 2/(-21) - 34/(442/(-117)). Let 212/5*c - 5618/5 - d*c**2 = 0. Calculate c.
53
Let o be ((-35)/(-25))/((-91)/(-130)). Let j(c) be the first derivative of 5/3*c**3 + 32 - 10*c - 5/2*c**o. Factor j(a).
5*(a - 2)*(a + 1)
Let b(p) = 13*p**3 - 32*p**2 - 96*p - 28. Let h(a) = 2*a**3 - a**2 - a + 1. Suppose -23 = 4*u - 27. Let k(t) = u*b(t) - 4*h(t). Determine f so that k(f) = 0.
-2, -2/5, 8
Solve 2283*y**3 + 320*y - 1012*y**3 - 1201*y**3 + 360*y**2 - 15*y**4 = 0.
-2, -4/3, 0, 8
Let q be 220/6 + (-6)/9. Let 13*c - 4*c**4 + 5 - 13 + 15*c + 20*c**3 - q*c**2 = 0. What is c?
1, 2
Determine r, given that -1/2*r**4 - 1/4*r**5 + 9*r**3 - 22*r**2 + 0 + 16*r = 0.
-8, 0, 2
Let y(u) = 471*u - 132820. Let x be y(282). Factor -305/11*l - 50/11 - 13/11*l**3 + 128/11*l**x.
-(l - 5)**2*(13*l + 2)/11
Let v(h) = -115*h**2 - 1105*h - 103200. Let c(n) = -7*n**2 - 69*n - 6450. Let b(t) = 65*c(t) - 4*v(t). Factor b(q).
5*(q - 43)*(q + 30)
Let j(t) = t**3 + 3*t**2 - 41*t - 78. Let p be j(6). Factor 0*x**2 + p*x + 0*x**4 + 0 - 1/2*x**3 + 1/2*x**5.
x**3*(x - 1)*(x + 1)/2
Let m(u) = u + 10. Let x be m(-7). Let l = x + -1. Factor 5*z**4 + 2*z**l - 9*z**3 - 2*z - z**5 + 13*z**2 - 8*z**2.
-z*(z - 2)*(z - 1)**3
Let m(s) be the second derivative of -s**6/30 - s**5/15 + s**4/3 - 104*s**2 + 208*s. Let w(q) be the first derivative of m(q). What is v in w(v) = 0?
-2, 0, 1
Let 2*h + h**2 + 7241*h**4 - h**3 - h**3 - 7242*h**4 = 0. What is h?
-2, -1, 0, 1
Let o(u) = -u**2 + u + 1. Let k(r) = 2*r**2 - 9*r - 12. Let s be (48/20)/(1/(-5)). Let x(p) = s*o(p) - 4*k(p). Solve x(z) = 0.
-3
Let b be 3 + 511/(-322) + 38/437. Let r be ((-3)/2)/((-6)/8). Solve 9/2*a + 0 + 3*a**r - b*a**3 = 0 for a.
-1, 0, 3
Suppose -m - m - 5*n 