5) + -9. Factor -1/4*l + 0 - j*l**2.
-l*(5*l + 1)/4
Let d(y) be the first derivative of -25*y**6/51 + 328*y**5/17 + 228*y**4/17 - 291904*y**3/51 + 116336*y**2/17 - 46464*y/17 - 5397. Let d(x) = 0. Calculate x.
-12, 2/5, 22
Let t(a) = -66*a**2 + 5512*a. Let b(r) = -91*r**2 + 7349*r. Let x(n) = -8*b(n) + 11*t(n). Suppose x(s) = 0. Calculate s.
-920, 0
Factor 11/6*g + 1/6*g**4 + 1/6*g**3 - 3/2*g**2 - 2/3.
(g - 1)**3*(g + 4)/6
Let x = 35599123/73179 + -45749/94. Let b = -1/346 - x. Determine s, given that -8/9*s**3 - b*s**4 - 4/9*s - 10/9*s**2 + 0 = 0.
-2, -1, 0
Let k be (5/40)/(-1) + (-25)/(-152). Let i = k - -2423/228. Factor -16*f - i - 2/3*f**2 + 4*f**3 - 2/3*f**4.
-2*(f - 4)**2*(f + 1)**2/3
Let q(i) be the first derivative of 13*i**4/14 - 6*i**3 + 68*i**2/7 + 24*i/7 - 625. Factor q(u).
2*(u - 3)*(u - 2)*(13*u + 2)/7
Let g(n) be the first derivative of -n**5/30 + 409*n**4/12 - 167281*n**3/18 - 267. Suppose g(x) = 0. Calculate x.
0, 409
Let d be (8 - 21/10) + -6 - 1/(-2). Let y(r) be the first derivative of -2*r**3 - d*r**5 + 0*r - r**2 - 3/2*r**4 + 18. Factor y(o).
-2*o*(o + 1)**3
Let o(b) be the third derivative of -b**2 + 7/16*b**4 - 1/40*b**5 - 30*b + 0 - 3*b**3. Factor o(z).
-3*(z - 4)*(z - 3)/2
Let k(o) be the third derivative of 0*o + 6728/3*o**3 + 1/15*o**5 - 55*o**2 + 0 + 58/3*o**4. Suppose k(v) = 0. Calculate v.
-58
Let n = -11 + 15. Suppose -2*m - 2*b = -n - 12, 3*m - 3*b = -6. What is l in 5*l**m - l**3 - 4*l - 3*l**3 = 0?
-2, 0, 2
Suppose -46*o + 42*o = -340. Let v = 87 - o. Find s such that -s**v + 23 + 22 - 45 = 0.
0
Suppose -26 = -124*v + 122*v. Factor -6*o**2 - 78 + 60*o - 4*o**2 + v + 15*o**2.
5*(o - 1)*(o + 13)
Let o = 132732 - 132732. Factor 0 + 0*s + 2/5*s**2 - 2/5*s**4 + o*s**3.
-2*s**2*(s - 1)*(s + 1)/5
Let f(s) be the third derivative of -s**6/180 + s**4/3 + 16*s**3/9 - 1029*s**2. Factor f(p).
-2*(p - 4)*(p + 2)**2/3
Let f(p) = 6*p - 115. Let t be f(19). Let b be 25/(-60)*(-54)/(-20)*t. Factor b*w**2 + 0 + 3/4*w.
3*w*(3*w + 2)/8
Let g = 125 - 121. Factor 0*c**4 - c**g - 6*c**5 + 29*c**5 - 12*c**5 - 10*c**5.
c**4*(c - 1)
Let k(l) = l**3 + 6*l**2 - l - 4. Let d = 54 + -60. Let u be k(d). Factor -3 - 20*h - 12*h**u + 24*h - 19*h.
-3*(h + 1)*(4*h + 1)
Let g be 3 - (2 - (0 - -3) - 4). Find y, given that -8*y**4 - g*y + 3*y**5 + 10*y**3 + 2*y**4 + 6*y**2 - 5*y**5 = 0.
-4, -1, 0, 1
Let d = 232128/1819 - 366/1819. Factor -114/17*l**2 - 2/17*l**3 - 13718/17 - d*l.
-2*(l + 19)**3/17
Let g(k) = -k**2. Let y(p) be the third derivative of -p**5/60 + 3*p**2 + 2. Let b = 11 - 13. Let m(u) = b*y(u) + 6*g(u). Solve m(v) = 0 for v.
0
Let m be 1/(-12) - (240/(-5760) + 5205/(-504)). Let -2/7*r**3 + 24/7*r**2 + 0 - m*r = 0. What is r?
0, 6
Let f be ((-18)/(-4))/3*865/12975. Let g(t) be the third derivative of 0*t + 0 - 11/8*t**4 + 40*t**2 - f*t**6 + 2*t**3 - 19/20*t**5. Factor g(w).
-3*(w + 1)*(w + 4)*(4*w - 1)
Let f = 346 - 344. Factor 5*a**f + 46*a - 3*a**2 + 16*a.
2*a*(a + 31)
Factor 0 + 1/5*y**2 + 157/5*y.
y*(y + 157)/5
Let g(s) be the first derivative of 2*s**7/105 - s**6/2 - 11*s**5/5 - 17*s**4/6 - 96*s**2 + 217. Let h(b) be the second derivative of g(b). Factor h(q).
4*q*(q - 17)*(q + 1)**2
Solve 4*l + 2/3*l**4 + 8/3*l**3 - 22/3*l**2 + 0 = 0.
-6, 0, 1
Let a(x) be the third derivative of 1/210*x**5 - 20*x**2 - 1/12*x**4 + 4/7*x**3 - 4 + 0*x. Determine g so that a(g) = 0.
3, 4
Factor -1492 + 123*x**2 - 486*x**2 + 119*x**2 + 117*x**2 + 125*x**2 + 750*x.
-2*(x - 373)*(x - 2)
Let u(p) = p - 6. Let m be u(6). Suppose m = n - 4*n + 12. Suppose 6 - s + 7*s**2 - 10*s**2 + n*s = 0. What is s?
-1, 2
Suppose 0 + 564/7*b + 3/7*b**2 = 0. What is b?
-188, 0
Let x be (8 + (-234)/30)*(-128 + 130). Factor -32/5*v**3 + 0*v**2 - x*v**4 + 0 + 0*v.
-2*v**3*(v + 16)/5
Let 8*k**3 - 4*k**3 - 1572*k - 2423*k - 4*k**4 + 691*k + 4704 + 12*k**3 + 460*k**2 = 0. What is k?
-12, 2, 7
Factor -8/3*v + 136/7 - 2/21*v**2.
-2*(v - 6)*(v + 34)/21
Let b(z) be the third derivative of -z**7/210 - 7*z**6/60 + 17*z**5/20 - z**4/6 - 34*z**3/3 + 1944*z**2. Factor b(y).
-(y - 2)**2*(y + 1)*(y + 17)
Suppose -5*r = -3*s + 2798, 3373 + 1261 = 5*s - r. Determine f so that -s - 64*f**2 + f**4 + 3*f**4 + 926 - 4*f**3 - 80*f = 0.
-2, 0, 5
Let n be 4/(32/(-24)) + 83/27. Let y(b) be the second derivative of 2/45*b**5 - 1/135*b**6 - 5/54*b**4 + 0 + 0*b**2 + n*b**3 - 9*b. Factor y(s).
-2*s*(s - 2)*(s - 1)**2/9
Suppose -30*o = -8*o - 110. What is m in 5*m**2 - 25*m + 4*m**3 + 15 - o*m**3 + 6*m**3 = 0?
-3, 1
Factor -32*q - 21*q**2 + 18*q**2 - 204 - 39*q + 2*q**2.
-(q + 3)*(q + 68)
Suppose 32*d - 159 = -59*d + 53 - 30. Factor -3/5*a**5 + 0 + 54/5*a**4 - 144/5*a**3 + 138/5*a**d - 9*a.
-3*a*(a - 15)*(a - 1)**3/5
Let p(v) = 7*v**2 + 748*v + 229. Let b(r) = -4*r**2 - 373*r - 115. Let n(d) = -11*b(d) - 5*p(d). Factor n(k).
3*(k + 40)*(3*k + 1)
Let g(q) be the second derivative of -118*q + 12*q**2 + 2/3*q**3 + 0 - 1/3*q**4. Factor g(w).
-4*(w - 3)*(w + 2)
Let k(p) = 5*p**5 + 125*p**4 + 450*p**3 + 653*p**2 + 422*p + 102. Suppose 22*f - 18 = 16*f. Let g(c) = -c**2 + c + 1. Let w(n) = f*g(n) + k(n). Factor w(l).
5*(l + 1)**4*(l + 21)
Factor -1/8*v**3 + 35/8*v**2 - 29*v + 54.
-(v - 27)*(v - 4)**2/8
Let j(r) be the third derivative of r**6/540 + r**5/45 - 32*r**3/27 - 789*r**2 + 2. Solve j(a) = 0 for a.
-4, 2
Let i = -40123/14 + 2866. Let s(d) be the first derivative of 1/21*d**3 + i*d**2 + 0*d - 6. Factor s(t).
t*(t + 1)/7
Factor -5464*z - 588*z**2 - z**5 + 25*z**4 + 5464*z - 112*z**3.
-z**2*(z - 14)**2*(z + 3)
Let p be (-13)/((-26)/88) - 4. Determine w so that -5*w**4 - 20*w**3 + 70*w - p - 20*w - 267*w**2 + 282*w**2 = 0.
-4, -2, 1
Let u(s) be the first derivative of -44*s + 254 + 2/3*s**3 - 9*s**2. Factor u(k).
2*(k - 11)*(k + 2)
Let k(j) be the first derivative of j**4 + 0*j + 0*j**2 + 1/5*j**5 + 4/3*j**3 - 49. What is n in k(n) = 0?
-2, 0
Let b(v) be the first derivative of -2*v**3/21 - 17*v**2/7 - 104*v/7 - 875. Find z, given that b(z) = 0.
-13, -4
Let p = -36 - 24. Let a be ((-2)/4)/(2/p). Let -2*d**5 - 3*d**5 - 18*d**3 - 3*d + 2*d**5 - a*d**4 + 3*d**4 - 12*d**2 = 0. What is d?
-1, 0
Let u = 261 + -256. Let t = 5 + -3. Factor -1 + 30*s + 50*s**t - 10*s - 2 + u.
2*(5*s + 1)**2
Let b(o) = -o**2 + 41*o - 53. Let i be b(38). Find x such that 101*x**3 + 71*x**2 - 30*x - 64*x**3 - i*x**3 - 14*x**2 - 3*x**4 = 0.
-10, 0, 1
Let j(f) = -3*f**2 - 19*f - 25. Let d be j(-4). Solve 2304*n + 814*n**3 - 409*n**3 - 12288 - 402*n**d - 144*n**2 = 0 for n.
16
Solve -7330 + 65*h**3 + 35*h**3 + 14662 - 7332 + 9*h**2 - 4*h = 0 for h.
-1/4, 0, 4/25
Let l(i) be the third derivative of -i**5/510 + 7*i**4/102 - 8*i**3/17 - 763*i**2. Factor l(n).
-2*(n - 12)*(n - 2)/17
Factor 3*a**5 + 118*a**5 - 127*a**5 + 4*a**2 - 21*a**3 + 2*a**2 + 24*a**4 - 3*a**5.
-3*a**2*(a - 1)**2*(3*a - 2)
Suppose 0 = 35*t + 15*t - 1500. Find h, given that -26*h**2 + 40 - 24*h**2 + 55*h**2 - t*h = 0.
2, 4
Let q(t) be the first derivative of t**5/210 + 19*t**4/28 - 50*t**2 + t - 88. Let f(i) be the second derivative of q(i). Factor f(u).
2*u*(u + 57)/7
Let w be ((-105)/(-126))/((-328)/162 + 2). Let t = w + 34. Factor t*g**2 + 2*g + 4.
(g + 4)**2/4
Let b(p) = -p**2 + 10*p - 2. Let i(r) = r**2 - 4*r + 12. Let y be i(3). Let f be b(y). Let 3*l - f*l + 2*l - 3*l**2 + 8*l = 0. Calculate l.
0, 2
Let i = -83 - -103. Suppose i*l = 21*l. Factor 1/4*c**2 - 1/4*c**5 + 0*c + 3/4*c**4 + l - 3/4*c**3.
-c**2*(c - 1)**3/4
Let x(p) = 6*p**2 - 5*p - 11. Suppose 8*f = 12 + 12. Let y(s) be the first derivative of -2*s**3 + 3*s**2 + 12*s - 17. Let m(d) = f*y(d) + 4*x(d). Factor m(h).
2*(h + 1)*(3*h - 4)
Let t = 114 + -63. Determine g, given that 5*g**3 + t*g**2 - 29*g**2 - 29*g**2 - 13*g**2 = 0.
0, 4
Find f such that 74/9*f + 1/9*f**2 + 0 = 0.
-74, 0
Let t(s) be the second derivative of s**6/30 - 17*s**4/3 - 48*s**3 - 160*s**2 - 911*s. Factor t(g).
(g - 10)*(g + 2)*(g + 4)**2
Find h such that -3/2*h**3 + 6*h + 48 - 12*h**2 = 0.
-8, -2, 2
Let a = -2009 + 2134. Let u(r) be the first derivative of r**5 + 8 + 625/2*r**2 + 75/4*r**4 + 0*r + a*r**3. Determine d so that u(d) = 0.
-5, 0
Let v(n) be the third derivative of -n**5/150 + 121*n**3/15 + 1243*n**2. Factor v(g).
-2*(g - 11)*(g + 11)/5
Determine f, given that 35/6 + 605/6*f**2 + 117/2*f + 4/3*f**4 + 99/2*f**3 = 0.
-35