*(o + 1)**2/4
Let m(j) = -j**3 - 2*j**2 + 42*j + 51. Suppose -3*k + s - 16 = 0, 3*k - 7*s = -2*s + 4. Let f be m(k). Factor 4/7*v - 3/7*v**f - 1/7.
-(v - 1)*(3*v - 1)/7
Let u be -5 - -20 - 17 - -4. Let h(m) be the first derivative of 6*m - 21/2*m**u + 9*m**3 + 3/5*m**5 - 15/4*m**4 - 30. Suppose h(x) = 0. Calculate x.
1, 2
Factor -4/7*b + 0 + 26*b**2 - 178/7*b**3.
-2*b*(b - 1)*(89*b - 2)/7
Let j = -198 - -202. Factor 40*o**j + 19*o**2 - 235*o**2 + 75*o + 432 + 1116*o**2 - 290*o**3 - 2*o**5 - 1155*o.
-2*(o - 6)**3*(o - 1)**2
Let h be 145/(-238) - 27/567. Let b = -11/34 - h. Factor -1/3*l**2 - 1/3*l**3 + b*l + 1/3.
-(l - 1)*(l + 1)**2/3
Let d be 183/20 - (-18)/(-192)*8. Find k, given that 4*k**2 + d*k**3 + 24/5*k**4 + 0 + 0*k + 2/5*k**5 = 0.
-10, -1, 0
Let c be 61/27 + -5*(12 - (-232)/(-20)). Let w(u) be the first derivative of -u + 1/36*u**4 + 5/6*u**2 + 10 - c*u**3. Factor w(v).
(v - 3)**2*(v - 1)/9
Let l be (-2)/(-33) + (-13824)/(-85536). Let 28/9 + l*a**3 + 32/9*a**2 + 58/9*a = 0. Calculate a.
-14, -1
Let t(d) be the first derivative of 75 + 32*d**3 - 18*d**2 - 15/4*d**4 + 0*d. Factor t(a).
-3*a*(a - 6)*(5*a - 2)
Let i(c) be the first derivative of 37/4*c**3 + 9/16*c**4 + 27*c + 45*c**2 - 9. Factor i(u).
3*(u + 6)**2*(3*u + 1)/4
Let u(s) be the third derivative of -s**7/42 + 7*s**6/24 - 5*s**5/4 + 15*s**4/8 + 736*s**2. Find b such that u(b) = 0.
0, 1, 3
Let z(y) be the third derivative of y**7/1260 + y**6/18 + 41*y**4/8 - 106*y**2. Let p(c) be the second derivative of z(c). Find f, given that p(f) = 0.
-20, 0
Let k(c) be the first derivative of -415/4*c**4 - 65 - 49000*c**2 + c**5 + 3780*c**3 - 109760*c. Let k(g) = 0. Calculate g.
-1, 28
Factor -633744*x**2 + 14045997*x**2 + 38256*x + 14098679*x**2 + 16 - 2011503*x**2 - 2631905*x**2.
4*(2391*x + 2)**2
Find h such that 144 + 724/5*h + 4/5*h**2 = 0.
-180, -1
Let a(b) be the first derivative of -2/3*b**4 - 8/3*b**3 - 6*b**2 + 0*b - 1/15*b**5 - 14. Let c(s) be the second derivative of a(s). Factor c(x).
-4*(x + 2)**2
Let n(w) = -w**2 + 115*w + 17003. Let b be n(200). What is r in -1444/9 - 52/3*r**2 + 4/9*r**b + 532/3*r = 0?
1, 19
Let w(f) be the first derivative of 2/35*f**5 + 0*f**4 + 0*f**2 + 2/7*f - 4/21*f**3 - 197. Factor w(m).
2*(m - 1)**2*(m + 1)**2/7
Let n be (2/(-17))/((-2680)/17085). Factor -6*m**2 + 0 + 21/4*m + n*m**3.
3*m*(m - 7)*(m - 1)/4
Let j(c) be the second derivative of -c**7/42 + 2*c**6/5 + 61*c**5/10 + 17*c**4 + 95*c**3/6 - 9*c + 4. Factor j(s).
-s*(s - 19)*(s + 1)**2*(s + 5)
Factor -447 + 370*j**3 - 441*j**2 + 387*j**3 - 754*j**3 - 891*j.
3*(j - 149)*(j + 1)**2
Factor -80/7*p + 12/7 - 92/7*p**2.
-4*(p + 1)*(23*p - 3)/7
Let f(p) be the third derivative of 0*p - 32*p**2 - 1/105*p**5 + 3 - 2/7*p**3 - 2/21*p**4. Factor f(l).
-4*(l + 1)*(l + 3)/7
Let t(i) be the first derivative of i**6/30 - 3*i**5/5 + 4*i**4/3 + 3*i**2 + 3*i + 74. Let r(u) be the second derivative of t(u). Factor r(z).
4*z*(z - 8)*(z - 1)
Let p(t) be the third derivative of t**6/840 - t**5/105 - t**4/56 + 3*t**3/7 - 104*t**2 + 2*t. Factor p(i).
(i - 3)**2*(i + 2)/7
Let 14/9*j**4 - 14/9*j - 22/3*j**3 + 26/3*j**2 - 4/3 = 0. What is j?
-2/7, 1, 3
Let 6148/9*j**2 + 398/9*j - 3580/9*j**3 - 230/3 + 62*j**4 - 2*j**5 = 0. What is j?
-1/3, 1/3, 3, 5, 23
Let g be ((-6)/(-45))/(1632/153). Let c(q) be the third derivative of -3/40*q**5 + q**3 + 14*q**2 + g*q**6 + 0 + 0*q + 0*q**4. Determine f so that c(f) = 0.
-1, 2
Let r(q) = 5*q**2 - 331*q + 314. Let k(y) = 20*y**2 - 1325*y + 1255. Let a(v) = -6*k(v) + 25*r(v). Suppose a(m) = 0. Calculate m.
1, 64
Let n(m) be the third derivative of 2*m**2 - 1/3*m**3 + 7/8*m**5 - 58 - 13/24*m**4 + 0*m - 57/160*m**6. Factor n(o).
-(3*o - 2)**2*(19*o + 2)/4
Let t(y) = 12*y**3 - 15*y**2 + 123*y + 213. Let o(k) = 5*k**3 - 7*k**2 + 62*k + 108. Let h(a) = 9*o(a) - 4*t(a). Factor h(d).
-3*(d - 5)*(d + 2)*(d + 4)
Let s(i) be the first derivative of -4/3*i**3 - 109 + 1/6*i**6 - 6*i**2 + 6/5*i**5 + 9/4*i**4 + 0*i. Determine x so that s(x) = 0.
-3, -2, 0, 1
Let b(t) = 7*t**3 - 2*t**2 - 10*t - 18. Let h(n) = 6*n**3 - 2*n**2 + 2*n - 2. Let k(g) = -4*b(g) + 4*h(g). Factor k(w).
-4*(w - 4)*(w + 2)**2
Let z(h) be the third derivative of h**7/280 - 19*h**6/80 + 173*h**5/80 - 67*h**4/8 + 33*h**3/2 - 248*h**2 - 1. Suppose z(r) = 0. Calculate r.
1, 2, 33
Let f(v) = 2*v**4 - 27*v**3 - 35*v**2 + 26*v + 32. Let q(d) = d**3 - 3*d**2 - 2*d + 2. Let u(x) = -f(x) + q(x). Factor u(w).
-2*(w - 15)*(w - 1)*(w + 1)**2
Let s(g) = -g**3 - g**2 + 13*g + 24. Suppose 0 = 5*b - 2*q + 16, 5 = -b + q - 0. Let t be s(b). Suppose 3/2 + 3*m**t + 9/2*m = 0. What is m?
-1, -1/2
Let x(s) be the third derivative of 3*s**5/25 - 23*s**4/60 + s**3/3 - 29*s**2 - 13. Factor x(v).
2*(v - 1)*(18*v - 5)/5
Suppose t = 4*t - 12. Let m(x) = -2 - 24*x**2 + 43*x**2 + x - 2 - 22*x**2. Let v(z) = -2*z**2 - 4. Let r(c) = t*v(c) - 3*m(c). What is s in r(s) = 0?
-1, 4
Factor -63*f**2 - 39*f + 23*f**2 - 4*f**3 + 8*f - 69*f.
-4*f*(f + 5)**2
Factor -2/13*n**2 + 250/13 - 40/13*n.
-2*(n - 5)*(n + 25)/13
Factor 2/3*j**2 - 280/3 - 26/3*j.
2*(j - 20)*(j + 7)/3
Let o(b) be the second derivative of b**6/20 - 17*b**5/40 + 3*b**4/4 + 2*b**3/3 - 1738*b + 1. Factor o(q).
q*(q - 4)*(q - 2)*(3*q + 1)/2
Let s be 80/32 - 357/(-3 + -18). Factor -s*l - 5/2*l**2 + l**3 - 9.
(l - 6)*(l + 3)*(2*l + 1)/2
Let n(d) be the first derivative of 1/7*d**4 + 0*d + 0*d**2 + 44 - 6/35*d**5 + 0*d**3 + 1/21*d**6. Find o such that n(o) = 0.
0, 1, 2
Factor 10*t**2 - 282 + 15*t + 49*t + 6*t**2 + 75*t**3 + 26 - 79*t**3.
-4*(t - 4)**2*(t + 4)
Find z, given that -1310/7*z**2 - 2640/7*z + 50/7*z**3 + 3872/7 + 30/7*z**4 - 2/7*z**5 = 0.
-4, 1, 11
Let d(a) = -60 + 5 + 30*a + 5 - 9*a - 2*a**2 - 2. Let i be d(5). Factor -2/3*m**i + 4/3*m + 0 - 2/3*m**2.
-2*m*(m - 1)*(m + 2)/3
Let k(w) = -2*w**3 - 38*w**2 - 35*w + 60. Let t be k(-18). Suppose -t*d - 29*d**3 + 9 - 96*d**2 + 16 + 3*d**2 + 20 + 23*d**3 = 0. Calculate d.
-15, -1, 1/2
Let q = -1167 - -1171. Let d(l) be the third derivative of 3/70*l**6 + 2/21*l**q + 0 + 4/35*l**5 + 0*l + 0*l**3 + 32*l**2. Factor d(u).
4*u*(3*u + 2)**2/7
Suppose 10*q = -7 + 57. Suppose -q*w + 4*z = 2, 2*w - 3*z - 19 = -8*z. Factor -44*k + 10*k + 59 + w*k + 5 + 4*k**2.
4*(k - 4)**2
Let q be (5248/(-205))/(5/(-75)). Let 32*s - q - 2/3*s**2 = 0. Calculate s.
24
Let d(v) be the third derivative of -v**7/1050 - 19*v**6/100 - 1003*v**5/100 + 3481*v**4/30 + 3693*v**2. Factor d(i).
-i*(i - 4)*(i + 59)**2/5
Let o(f) be the first derivative of 2*f**3/15 + 298*f**2/15 + 66*f/5 + 501. Factor o(j).
2*(j + 99)*(3*j + 1)/15
Suppose 2*f = -0*j + 4*j + 26, -f - 4*j = 17. Factor f*h - 3*h**3 - 4*h - h + 4*h**3 - 3*h**4 + 3*h**2 + h**5.
h*(h - 2)*(h - 1)**2*(h + 1)
Let u(y) = y**3 + 7*y**2 - 11*y - 19. Let l be u(-8). Suppose 302 = l*a + 2*r, -2*a + 4*a - 2*r = 118. Factor 221*g + 320 + 39*g - 20*g + 5*g**3 + a*g**2.
5*(g + 4)**3
Let n = -412 + 415. Suppose -7*q = 5*t - 10*q - 15, q = -n*t - 5. Factor 0*z**2 + t + 3/2*z**3 + 3/2*z**4 + 0*z.
3*z**3*(z + 1)/2
Determine b so that -2/9*b**2 - 1434818/9 + 3388/9*b = 0.
847
Let a(p) be the second derivative of 1/12*p**4 + 7/6*p**3 + 3*p**2 + 0 - 56*p. Factor a(d).
(d + 1)*(d + 6)
Let m(w) be the first derivative of 4*w**5/5 - 10*w**4 + 28*w**3 + 8*w**2 - 112*w + 594. Factor m(x).
4*(x - 7)*(x - 2)**2*(x + 1)
Let o(w) = -16*w + 115. Let t be o(-18). Let d be 62/t + 48/26. Let 2/9*x**5 + 4/9*x**d + 4/9*x**3 - 2/3*x - 2/3*x**4 + 2/9 = 0. What is x?
-1, 1
Let b = 965915/2 + -482938. Find w such that 12*w**2 + 0 - 21/2*w - 3*w**4 + b*w**3 = 0.
-1, 0, 1/2, 7
Let f(u) = -7*u**3 + 127*u**2 + 60*u + 6. Let m(q) = 36*q**3 - 636*q**2 - 320*q - 32. Let k(x) = -16*f(x) - 3*m(x). Factor k(i).
4*i**2*(i - 31)
Suppose 2*x - 92 = -2*u, 4*x + u - 62 = 122. Determine f so that 65*f**2 + 30*f + 25*f**2 + 4 - x*f**2 = 0.
-1/2, -2/11
Suppose -2*x - 3*p = -417, 319 - 950 = -3*x + p. Solve 14*c + 8 - x*c**2 - 4*c**3 + 401*c**2 - c**3 - 208*c**2 = 0.
-4, -2/5, 1
Let -39*z**3 - 63*z**2 + 2*z**4 - 63*z**2 - 83*z**3 + 122*z - 584 + 708 = 0. What is z?
-1, 1, 62
Let h(v) be the second derivative of 0*v**2 + 4 + 0*v**3 + 5/24*v**5 - 5/36*v**4 - 1/9*v**6 + 7*v + 5/252*v**7. Factor h(z).
5*z**2*(z - 2)*(z - 1)**2/6
Let n(l) be the first derivative of l**4/10 - 38*l**3/15 -