10. Let b(p) be the first derivative of 1/15*p**3 - v*p**2 - 45 + 0*p. Determine l, given that b(l) = 0.
0, 9
Factor 290*c - 547*c**3 + 486 + 542*c**3 - 25*c**2 - 926.
-5*(c - 4)*(c - 2)*(c + 11)
Let a(y) be the third derivative of y**8/560 + y**7/280 - y**6/30 - y**5/10 + 35*y**3/3 - 67*y**2. Let v(b) be the first derivative of a(b). Factor v(n).
3*n*(n - 2)*(n + 1)*(n + 2)
Let z be (5724/(-204) - -72) + -41. Find a such that z + 52/17*a + 2/17*a**2 = 0.
-25, -1
Suppose 4*w + 3*y - 166 = 0, -w + 127 = 2*w + y. Let d = w - 42. Factor 4*o**2 + 357*o**3 - o**4 + d - 4 - 355*o**3 - 2*o.
-(o - 3)*(o - 1)*(o + 1)**2
Solve 0*o**2 + 32 + 52/3*o - 1/3*o**3 = 0.
-6, -2, 8
Let g = 1561 + -87415/56. Let m(a) be the second derivative of -30*a - g*a**7 - 1/10*a**6 + 0*a**3 - 1/8*a**4 + 0*a**2 + 0 - 3/16*a**5. Factor m(j).
-3*j**2*(j + 1)**2*(j + 2)/4
Let t = 882857 - 6179998/7. Find y, given that 0 + 1/7*y**3 + t*y**2 - 1/7*y**4 - 1/7*y = 0.
-1, 0, 1
Let f = 493/30 - 611/60. Suppose 4 + 2 = 3*a. Determine c so that -15/2 + 5/2*c**a + 5/4*c**3 - f*c = 0.
-3, -1, 2
Let m(y) be the first derivative of y**3/6 - 67*y**2/2 + 133*y/2 + 805. Solve m(t) = 0 for t.
1, 133
Let t be (-40)/7 + 5328/(-2331) - (-9 + -1). Factor 4/3 - 10/3*w**3 - 2/3*w - 16/3*w**t.
-2*(w + 1)**2*(5*w - 2)/3
Let h = 813497 + -813493. Let 0*b + 0*b**2 + 8/9*b**3 + 2/9*b**5 + 10/9*b**h + 0 = 0. Calculate b.
-4, -1, 0
Let f be -4*(-1)/6*-42*1. Let s = f - -60. Let -39*l**5 - 48*l**2 + s*l**4 - 24*l**3 - 11*l**4 + 36*l**5 = 0. Calculate l.
-1, 0, 4
Let j = -312 + 172. Let o be ((-2)/15)/(56/j). Determine d, given that 16/3 - 8/3*d + o*d**2 = 0.
4
Let x(p) be the second derivative of -31*p - 1/10*p**5 + 0*p**2 + 0*p**3 + 0 - 1/3*p**4. Solve x(s) = 0 for s.
-2, 0
Let y be (-17)/(-8)*2 - (-4)/(-16). Factor -71*i**5 - 8*i - 26*i**3 + 24*i**2 + 35*i**5 + 12*i**y + 34*i**5.
-2*i*(i - 2)**2*(i - 1)**2
Factor -98/3 - 961/6*n**2 + 434/3*n.
-(31*n - 14)**2/6
Let c be 1077/6 - (-1)/2. Let k be 15/c*-8*(-9)/2. Find r, given that 3*r + 5/3 + r**2 - 1/3*r**k = 0.
-1, 5
Find l such that 102*l**2 + 3*l**4 - 497*l**3 - 319*l**3 - 216*l + 927*l**3 = 0.
-36, -2, 0, 1
Let a be 12/(-14)*((-8384)/320 - -15). Find l such that -a*l + 3/5*l**2 - 108/5 = 0.
-2, 18
Let s = 147 - 151. Let j be 3/s + (-561)/(-44). Suppose -10*x**4 - 26*x**5 + x**2 - 9*x**2 + 35*x**3 + 21*x**5 - j*x**2 = 0. Calculate x.
-4, 0, 1
Suppose -181 = -123*w - 177 + 488. Solve 0 + 25/4*j**2 - 9/2*j - 9/4*j**w - 1/4*j**5 + 3/4*j**3 = 0.
-9, -2, 0, 1
Let t(z) be the second derivative of z**6/150 - 3*z**5/50 - 127*z**4/60 - 82*z**3/5 - 288*z**2/5 + 87*z - 1. Factor t(i).
(i - 16)*(i + 3)**2*(i + 4)/5
Find n, given that 155 + 4*n**4 - 100*n**3 - 28*n**2 - 49*n**4 - 5*n**5 - 155 - 32*n**2 = 0.
-6, -2, -1, 0
Let a be 95 - 91 - (-24)/(-7). Let d = 7397/7 - 1055. Factor a*x**2 + 0 - d*x.
4*x*(x - 3)/7
Suppose -4*d + 56 = 4*p, 4*d - 4*p - p - 92 = 0. Suppose d*g + g - 190 = 0. Factor 5/2*b**3 - 5/2*b**2 + g - 10*b.
5*(b - 2)*(b - 1)*(b + 2)/2
Suppose 120*j**2 + 0*j - j**4 + 538/3*j**3 + 0 = 0. Calculate j.
-2/3, 0, 180
Let z(t) be the third derivative of t**8/2520 - 4*t**7/525 - 7*t**6/20 - 637*t**5/225 + 77*t**2 + t. Let z(d) = 0. Calculate d.
-7, 0, 26
Let l(w) be the second derivative of 3*w**5/80 - 7*w**4/8 - 51*w**3/8 + 3665*w. Let l(v) = 0. What is v?
-3, 0, 17
Let f(n) be the third derivative of -n**5/30 + 7*n**4/6 - 40*n**3/3 + 4*n**2 - 5. Factor f(p).
-2*(p - 10)*(p - 4)
Let z be (-3)/(-1) + 5/2 + (-5)/2. Let k(q) be the first derivative of 30*q**2 - 21 - 15*q**z - 35/4*q**4 + 20*q. Let k(r) = 0. What is r?
-2, -2/7, 1
Find q such that 737 + 743 - 75*q - 3*q**3 + 753 + 30*q**2 + 12*q**2 - 2197 = 0.
1, 12
Let z(b) be the third derivative of 7/30*b**5 + 7/12*b**4 + 0 + 0*b - 28*b**2 + 1/30*b**6 + 2/3*b**3. What is k in z(k) = 0?
-2, -1, -1/2
Let m = -12728 + 12730. Let g(r) be the first derivative of 1/9*r**m + 0*r + 15 - 1/18*r**4 + 0*r**3. Find f, given that g(f) = 0.
-1, 0, 1
Let k(w) be the third derivative of w**6/30 + 11*w**5/15 - 10*w**4 - 11*w**2 + 100*w. Factor k(o).
4*o*(o - 4)*(o + 15)
Let n(t) be the third derivative of -t**5/60 - 2*t**4/3 - 25*t**3/6 + 5*t**2. Let h be n(-13). Factor 4*y**3 - 27*y**2 - 81*y - 7*y**3 - 74 - h + 7.
-3*(y + 3)**3
Let f be 12033/45 - (-72)/45. Suppose 95*q - 206 - f = 0. Factor -14/5*s**4 + 4/5*s**q + 0 + 8/5*s**3 + 8/5*s**2 + 0*s.
2*s**2*(s - 2)**2*(2*s + 1)/5
Let u(p) = 3*p + 18. Let f be u(-5). Factor -30*g**2 - 17*g**3 - f*g + 18 + 8*g**3 + 0*g**3.
-3*(g + 1)*(g + 3)*(3*g - 2)
Let f be (11/(-3) - -1)/((-2)/42). Let w = 58 - f. Factor -2*n + 4*n**2 + 69 - w - 3 - 30*n.
4*(n - 4)**2
Let w = -2 + 2. Let d(y) = y**2 - 13*y + 24. Let h be d(11). Let -2/13*o + 10/13*o**h + w = 0. What is o?
0, 1/5
Suppose 2*g - 104 - 28 = 0. Solve 256*f - 5*f**2 - g*f - 12 - 173 = 0 for f.
1, 37
Suppose 219*r = 214*r + 10. Let n(v) be the first derivative of -v**4 + 4*v + r*v**2 - 4/3*v**3 - 14. Factor n(i).
-4*(i - 1)*(i + 1)**2
Let -25350*a + 0 - 3/2*a**4 - 783/2*a**3 - 25740*a**2 = 0. What is a?
-130, -1, 0
Let t(k) = 15*k**3 + 1620*k**2 + 132840*k - 134480. Let f(b) = 2*b**3 - 3*b**2. Let u(m) = -5*f(m) + t(m). What is o in u(o) = 0?
-164, 1
Let p(n) = n**3 - 22*n**2 + 91*n + 664. Let w(k) = 3*k**3 - 18*k**2 + 90*k + 666. Let i(u) = -3*p(u) + 2*w(u). Factor i(t).
3*(t - 5)*(t + 4)*(t + 11)
Let y = 23262207/14875 - -24/2125. Let k = 1565 - y. Factor 30/7*r + 20/7*r**3 + 0*r**4 - 40/7*r**2 - k - 2/7*r**5.
-2*(r - 1)**4*(r + 4)/7
Suppose -24 = -13*n + 7*n. Suppose n*y = 27 + 21. Let -13 + 3*l**2 + 8*l + y*l - 8 - 2*l = 0. Calculate l.
-7, 1
Let c(h) be the first derivative of 13*h**3/3 + 40*h**2 + 12*h + 918. Find y, given that c(y) = 0.
-6, -2/13
Let f = 2414 + -2410. Let o(s) be the first derivative of -20/27*s**3 + 1/18*s**f + 16/9*s - 4/9*s**2 + 1/27*s**6 + 8 + 8/45*s**5. Factor o(k).
2*(k - 1)**2*(k + 2)**3/9
Let c(f) be the first derivative of -2*f**5/5 - 8*f**4 + 152*f**3/3 - 80*f**2 + 5476. Solve c(h) = 0 for h.
-20, 0, 2
Determine d, given that 530/3 + 1/3*d**2 - 177*d = 0.
1, 530
Let k(s) = 4*s**2 + 95*s - 607. Let u be k(-29). Factor -3/5*h**u + 36/5 + 12/5*h.
-3*(h - 6)*(h + 2)/5
Let v = -1486 + 1483. Let f be 8/(-21)*(3 - v)*-1. Factor -2/7*b**3 + f*b**2 + 0 - 32/7*b.
-2*b*(b - 4)**2/7
Let q be 2*16/(2/2). Suppose q*n = 14*n - 23*n. Factor 16/5*r**4 + n + 8/5*r**3 - 7/5*r**2 + 1/5*r.
r*(r + 1)*(4*r - 1)**2/5
Let l be (84/22)/((-17264)/(-286) - 60). Factor -1/2*n**4 + 9 + l*n - 1/2*n**2 - 5/2*n**3.
-(n - 2)*(n + 1)*(n + 3)**2/2
Let w(f) be the third derivative of -1/1680*f**8 - 4/525*f**7 + 0*f + 0 + 3/50*f**5 + 27/40*f**4 - 87*f**2 - 2/75*f**6 + 9/5*f**3. Factor w(h).
-(h - 2)*(h + 1)*(h + 3)**3/5
Let v(s) be the first derivative of 7*s**6/15 - 94*s**5/25 + 63*s**4/10 - 26*s**3/15 - 2*s**2 + 812. Determine t, given that v(t) = 0.
-2/7, 0, 1, 5
Let s = 20149/115638 + -146/19273. Factor -s*i**2 - 10/3 + 7/2*i.
-(i - 20)*(i - 1)/6
Let l(u) be the second derivative of 15 + 0*u**2 - 5/2*u**3 + 1/4*u**4 + u. Factor l(z).
3*z*(z - 5)
Let m = 317983 + -948269/3. Let 865/3*f**3 + 1/3*f**5 - m*f**2 - 50/3*f**4 + 8960/3*f - 4096/3 = 0. What is f?
1, 16
Solve 2*o**3 + 1756875*o - 7497/2*o**2 - 877969/2 = 0.
1/4, 937
Let u be -50*(363/(-154))/(-11) + 12 + -1. Factor u*x**3 - 36/7 - 40/7*x**2 + 74/7*x.
2*(x - 18)*(x - 1)**2/7
Let o be (-27)/(567/(-483)) - 23. Let t(w) be the second derivative of 16*w + o + 7/18*w**2 - 1/180*w**5 - 5/18*w**3 + 1/12*w**4. Find p such that t(p) = 0.
1, 7
Let m(x) = -x - 7. Let c be m(-16). Suppose -c*l - 34*l + 86 = 0. Let 0 + 16/3*k**3 + 4/3*k + 14/3*k**l + 2*k**4 = 0. What is k?
-1, -2/3, 0
Let o be (-216)/(-56) - ((-210)/49)/(-5). Suppose -1/2*c**4 - 1/2 + c**2 + 1/2*c**o - 1/4*c**5 - 1/4*c = 0. Calculate c.
-2, -1, 1
Let w = 233798 - 233795. Determine v, given that -21/5*v**w - 3*v + 33/5*v**2 + 3/5*v**4 + 0 = 0.
0, 1, 5
Find c such that -11*c**3 + 26341*c**2 + 17*c**3 + 1 + 72 - 26414*c**2 + 3*c - 9*c**3 = 0.
-73/3, -1, 1
Let m = -15251 + 15254. What is i in -6/7*i**4 - 8/7*i + 0 - 2/7*i**5 + 10/7*i**m + 6/7*i**2 = 0?
-4, -1, 0, 1
Suppose 5*j - 3*j - 22 = 0. Factor j*u + 6925 + 7*u + 22*u - 6825 + 4*u**2.
4*(u + 5)**2
Let l = 57 + -4. Let r = l + -48. Let 4*h**r + 0*h**5 - h**5 + 5*h**