 + 16777/6489. Factor 2/7*v**3 - h + 30/7*v - 2*v**2.
2*(v - 3)**2*(v - 1)/7
Let g = 188 + -183. Let b(k) = -3*k**2 + 6*k + 6. Let j(c) = -6*c**2 + 12*c + 13. Let a(o) = g*b(o) - 3*j(o). Factor a(l).
3*(l - 3)*(l + 1)
Let z(h) be the first derivative of 75/4*h**2 + 35/2*h + 15/2*h**3 + 5/8*h**4 + 206. Factor z(b).
5*(b + 1)**2*(b + 7)/2
Let o(p) be the third derivative of 755*p**8/336 + 863*p**7/60 + 1511*p**6/60 + p**5/30 + p**2 - 2276. Factor o(m).
m**2*(m + 2)**2*(1510*m + 1)/2
Factor 1/4*f**2 + 19881/4 - 141/2*f.
(f - 141)**2/4
Let f(q) = -8*q**3 - 122*q**2 + q + 2. Let c be f(0). Determine w, given that 1/2*w**c + 1225/2 + 35*w = 0.
-35
Suppose 2*t + 9*q = 12*q + 16, q + 12 = 2*t. Let m(x) be the first derivative of 0*x + 2*x**4 + 4/5*x**t + 5 - 4*x**2 - 4/3*x**3. Factor m(j).
4*j*(j - 1)*(j + 1)*(j + 2)
Factor 0 - 595/11*k + 1/11*k**2.
k*(k - 595)/11
Let q be (-102)/(-228) - (-126)/2394. Factor 0 + 1/4*x**3 + 1/4*x**5 + 3/4*x**2 - q*x - 3/4*x**4.
x*(x - 2)*(x - 1)**2*(x + 1)/4
Let p(d) = 5*d**2 - 18*d + 12. Let j be p(3). Determine a so that -20596*a**5 - 180*a**j + 20576*a**5 + 84*a**4 + 81*a**4 + 35*a**2 = 0.
0, 1/4, 1, 7
Let q(b) be the third derivative of 0*b**3 + 278*b**2 + 1/70*b**6 + 0*b - 1/105*b**5 - 1/21*b**4 + 0. Factor q(w).
4*w*(w - 1)*(3*w + 2)/7
Suppose -5*r + r + 7 = 5*f, 4*f - 3*r = 18. Determine g, given that 2*g**3 - 10*g + 26*g - 4*g**2 + 4*g**4 + 0*g**f - 13*g**3 - 5*g**3 = 0.
-1, 0, 1, 4
Let m(j) be the second derivative of -j**5/35 - 101*j**4/21 - 2010*j**3/7 - 44550*j**2/7 - 1438*j. Suppose m(u) = 0. What is u?
-45, -11
Let w(l) = -l**2 + 29*l + 39. Let j be w(30). Suppose 0 = -10*s + 5*s + 3*x + 15, -3*x + j = 3*s. Factor 0 - 5/3*a**5 + 0*a**2 + 10/3*a**s + 0*a + 5/3*a**4.
-5*a**3*(a - 2)*(a + 1)/3
Factor 69/4*b**4 + 429/2*b**3 + 0*b + 3/8*b**5 + 0 + 363*b**2.
3*b**2*(b + 2)*(b + 22)**2/8
Let 676/3*k**3 + 160/3 - 296/3*k**2 - 44/3*k**5 - 80/3*k**4 - 848/3*k = 0. What is k?
-5, -1, 2/11, 2
Let t be 1*10/(-75) + (-879)/(-180)*1. Determine m, given that 3/2 + 19/4*m**4 + m**5 + 15/4*m**3 - 25/4*m**2 - t*m = 0.
-3, -2, -1, 1/4, 1
Let p(y) = 5*y**3 + 102*y**2 + 38*y - 25. Let x be p(-20). Let m(g) be the second derivative of 1/5*g**2 + 1/60*g**4 - x*g - 1/10*g**3 + 0. Factor m(f).
(f - 2)*(f - 1)/5
Suppose -4*v = -3*r + 3481, -13*v - 1742 = -11*v - 2*r. Let w be v/(-155) - 1*4. Let w - 16/5*t - 14/5*t**2 + 2*t**3 = 0. What is t?
-1, 2/5, 2
Suppose -3*w - 5*o + 34 = 0, -12*w - 4*o = -9*w - 32. Factor -236*b**2 - 18*b**3 + 69*b - 21*b**2 - 239*b - w*b**2 + 3*b**3.
-5*b*(b + 17)*(3*b + 2)
Let m(b) be the first derivative of -2*b**5/5 + 23*b**4/2 + 152*b**3/3 + 52*b**2 - 3523. Factor m(f).
-2*f*(f - 26)*(f + 1)*(f + 2)
Let i(g) be the second derivative of -g**5/80 + 5*g**4/8 - 29*g**3/24 + 2376*g. Suppose i(x) = 0. Calculate x.
0, 1, 29
Let b(x) be the first derivative of -4*x**5/5 - x**4 + 16*x**3 + 56*x**2 + 64*x - 1388. Factor b(a).
-4*(a - 4)*(a + 1)*(a + 2)**2
Let d = -1277896/19 + 67260. Determine y so that 2/19*y**4 + 18/19 + d*y**2 + 16/19*y**3 + 48/19*y = 0.
-3, -1
Factor -1/2*s**4 + 299/2*s - 99/2*s**3 + 99 + 3/2*s**2.
-(s - 2)*(s + 1)**2*(s + 99)/2
Let l(u) = 12*u**3 + 60*u**2 - 32*u - 28. Let m(p) = -18144 + 18201 + 65*p - 23*p**3 - 83*p**2 - 37*p**2. Let k(z) = -7*l(z) - 4*m(z). Factor k(h).
4*(h - 1)*(h + 8)*(2*h + 1)
Factor 516/5*p**2 + 4/5*p**3 + 0*p + 0.
4*p**2*(p + 129)/5
Suppose 0*x - 18*x = -252. Suppose 0 = -x*n + 6 + 22. Suppose 912*a**n - 20*a**5 - 1344*a - 300*a**3 + 17*a**5 + 768 + 10*a**4 + 38*a**4 = 0. Calculate a.
2, 4
Let l be (-130)/25 - (-10900)/2000. Factor -l*z**2 - 225/4 - 15/2*z.
-(z + 15)**2/4
Let r = 176 + -2990/17. Let m be ((-70)/105)/((-442)/312). Factor m - r*c**2 + 6/17*c.
-2*(c - 4)*(c + 1)/17
Let d be (72 - 86) + 1 + 15. Let v be -7*(-8)/84*24/22. Determine w so that 0 - 8/11*w**d - v*w - 2/11*w**3 = 0.
-2, 0
Suppose -53*r + 55*r - 8 = 0. Solve 509*a - 39*a**2 - 37 + r*a - 39 - 2 = 0 for a.
2/13, 13
Suppose -690 = -39*y - 16*y - 83*y. Let j(w) be the second derivative of -6/5*w**2 - 21*w + 3/20*w**4 - 3/100*w**y + 0*w**3 + 0. Factor j(t).
-3*(t - 2)**2*(t + 1)/5
Let y(j) = -548*j + 39472. Let s be y(72). Solve 4*q + s + 1/4*q**2 = 0.
-8
Let m(u) be the third derivative of -u**7/210 - u**6/45 + u**5/10 - 22*u**3/3 - 73*u**2. Let g(i) be the first derivative of m(i). Suppose g(h) = 0. What is h?
-3, 0, 1
Suppose 20 = 6*q - 10*q. Let s be q/(-2)*(-1 + 48/45). Suppose 0*y**3 - 1/3*y + 0 - 1/2*y**2 + s*y**4 = 0. What is y?
-1, 0, 2
Let b(g) = -g**2 + 9*g. Let t(m) = 4*m**2 + 9*m - 575. Let p(v) = 5*b(v) + t(v). Let u be p(38). What is i in -u*i + 363/2*i**2 - 1331/4*i**3 + 2 = 0?
2/11
Let d(m) be the second derivative of -m**6/20 - 3453*m**5/40 - 331775*m**4/8 - 330625*m**3/4 - 9949*m. Factor d(a).
-3*a*(a + 1)*(a + 575)**2/2
Let a = 196 + -186. Factor 2*b**4 - 95*b**3 + 81*b**3 - 18*b**2 + 14*b + 26 - a.
2*(b - 8)*(b - 1)*(b + 1)**2
Let r(n) be the first derivative of n**3/7 + 552*n**2/7 - 2220*n/7 + 8852. Let r(w) = 0. Calculate w.
-370, 2
Factor 712/7 + 186/7*k + 2/7*k**2.
2*(k + 4)*(k + 89)/7
Let l(m) be the first derivative of 2*m**5/5 - 113*m**4/2 - 230*m**3 - 347*m**2 - 232*m - 1113. Factor l(h).
2*(h - 116)*(h + 1)**3
Let h(d) = 15*d**2 + 5*d - 35. Let z(k) = 0*k - 17 + 3*k + 96*k**2 - 88*k**2. Let v(c) = 3*h(c) - 5*z(c). Factor v(g).
5*(g - 2)*(g + 2)
Let z(q) = 15*q**3 - 4*q**2 - 16*q - 5. Let r(g) = 12*g**3 + 110*g**2 - 8*g - 4*g**3 + 103*g**2 + 0 - 215*g**2 - 2. Let c(s) = -10*r(s) + 4*z(s). Factor c(h).
-4*h*(h - 1)*(5*h + 4)
Let w(q) = 11*q**2 - 25*q - 39. Let p(m) = -2*m**2 - m - 5. Let o(y) = -5*p(y) - w(y). Factor o(d).
-(d - 32)*(d + 2)
Let f be -1 - 9/(-5) - 105672/226440. Let 0 - 1/3*k**4 - 1/3*k**5 + f*k**2 + 1/3*k**3 + 0*k = 0. Calculate k.
-1, 0, 1
What is y in 4*y**2 + 104/5*y - 96/5 = 0?
-6, 4/5
Let c(h) = 6*h**3 + 6*h**2 - 27*h + 15. Let i(x) = 5*x**2 + 15 - 23*x + 7*x**3 + 35*x - 39*x. Let q(z) = -4*c(z) + 3*i(z). Suppose q(u) = 0. Calculate u.
-5, 1
Let w be 0*5/25 - (-1809)/4221. Suppose -3/7*m**2 + 20/7 - 36/7*m + w*m**4 + 16/7*m**3 = 0. What is m?
-5, -2, 2/3, 1
Suppose -87*o - 19 - 2*o**4 + 241*o - 30*o**3 + 25867*o**2 - 4*o**3 - 25889*o**2 - 77 = 0. What is o?
-16, -3, 1
Let n(p) be the first derivative of -150 + 0*p + 115*p**2 + 5/3*p**3. Determine d so that n(d) = 0.
-46, 0
Let m(r) be the third derivative of -r**8/201600 + 11*r**7/5040 - 121*r**6/288 - 15*r**5/4 + 75*r**2. Let v(u) be the third derivative of m(u). Factor v(b).
-(b - 55)**2/10
Let c = 7116/13 - 49760/91. Factor -c - 2/7*u + 2/7*u**2.
2*(u - 2)*(u + 1)/7
Determine z so that 6486*z - 11*z - 7670 + 1190*z + 2*z**2 + 3*z**2 = 0.
-1534, 1
Let v be 190/10 - (-1300)/(-75). Let y(s) be the first derivative of -25/18*s**3 - 5/8*s**4 + v*s**2 - 23 + 10/3*s. Find z such that y(z) = 0.
-2, -2/3, 1
Let x(l) be the third derivative of -l**7/945 + l**6/30 - 71*l**5/270 + 13*l**4/18 + 208*l**2 - 2*l + 1. Let x(r) = 0. Calculate r.
0, 2, 3, 13
Let w(j) be the second derivative of j**5/4 + 10*j**4/3 - 5*j**3/6 - 20*j**2 + 41*j + 6. Factor w(y).
5*(y - 1)*(y + 1)*(y + 8)
Let j(m) = -10*m**2 - 2*m - 4. Suppose -7 = 2*x + 4*o + 7, 4*o = -12. Let n(y) = -3*y**2 + y. Let l(d) = x*j(d) + 3*n(d). Factor l(g).
(g + 1)*(g + 4)
Let s(q) = 2*q**2 + 34*q - 18. Let g = 69 - 87. Let f be s(g). Factor f*y - 18*y + 5*y**2 - 30*y + 45.
5*(y - 3)**2
Suppose 50*y + 49*y + 33*y = 1848. Let j(x) be the first derivative of 2/3*x**3 - y*x**2 + 16 + 98*x. Let j(r) = 0. What is r?
7
Let g(w) be the first derivative of -8*w - 42*w**2 - 96*w**3 - 27 - 89*w**4 - 144/5*w**5. Suppose g(d) = 0. Calculate d.
-1, -1/4, -2/9
Let v(j) be the third derivative of j**7/105 - 103*j**6/15 + 7141*j**5/5 - 21115*j**4/3 + 42025*j**3/3 + 18*j**2 - 38. Factor v(l).
2*(l - 205)**2*(l - 1)**2
Factor 49922/3*r**2 - 212*r**3 + 51200/3 + 33920*r + 2/3*r**4.
2*(r - 160)**2*(r + 1)**2/3
Let n(s) be the first derivative of -s**4/36 - 40*s**3/9 - 800*s**2/3 - 243*s + 11. Let r(z) be the first derivative of n(z). Solve r(q) = 0 for q.
-40
Suppose -t - 94 = 2*i, 5*t + 528 - 76 = -i. Let d = t + 94. Factor 9*l**2 - d*l + 0 + 3 - 8*l**2.
(l - 3)*(l - 1)
Let d be ((-2)/(-5))/((4/(-5))/(-2)). Let a be d*4 - 0/(-1). Find w such that -4 + w**2 - 2*w**a + 4