3 - 660*h**2 - 1781*h - 1600. Let x(p) = -3*k(p) + y(p). Factor x(t).
-5*(t + 2)*(t + 4)**2*(t + 10)
Factor 2129*m + 705*m + 103*m**3 - 566*m - 3*m**5 + 2187*m**2 + 572*m**3 + 57*m**4.
-3*m*(m - 28)*(m + 3)**3
Let w = -416 - -469. Determine f, given that -24*f**2 - 9*f**4 - w*f**3 + 3155 - 3155 + 11*f**3 = 0.
-4, -2/3, 0
Let d(u) = 21*u**2 + 420*u + 880. Let o(n) = 5*n**2 - 5*n + 1. Let j(p) = d(p) - 4*o(p). Factor j(s).
(s + 2)*(s + 438)
Suppose 3*d = 3838*v - 3834*v + 45, -5*d = v - 75. Factor -1/7*g**2 + 5/7*g + v.
-g*(g - 5)/7
Let y(v) be the second derivative of -48*v + 1/40*v**5 + 7/12*v**3 + 0 + 5/8*v**2 - 1/120*v**6 + 1/4*v**4. What is o in y(o) = 0?
-1, 5
Let a be (-2*(-2)/(-6))/((67525/438)/(-185)). Solve -4*k**2 - 2/5*k + 2 + 2*k**4 + a*k**3 - 2/5*k**5 = 0.
-1, 1, 5
Let f(p) be the third derivative of p**8/112 + p**7/35 - p**5/10 - p**4/8 + 1774*p**2. Factor f(t).
3*t*(t - 1)*(t + 1)**3
Let j(b) = 5*b**3 + 4*b**2 - 13*b - 22. Let z(y) = 386*y**3 + 27*y**2 - 350*y**3 - 65*y - 25*y - 156. Let k(r) = 15*j(r) - 2*z(r). Factor k(i).
3*(i - 2)*(i + 1)*(i + 3)
Let a(n) be the second derivative of n**7/14 - 3*n**6 - 189*n**5/20 - 8*n**4 - 1500*n. Factor a(z).
3*z**2*(z - 32)*(z + 1)**2
Determine c, given that 0 - 2/5*c + 38/5*c**5 + 108/5*c**3 + 32/5*c**2 + 112/5*c**4 = 0.
-1, 0, 1/19
Let q = -167301 + 167303. Determine r, given that -1/6*r - 2/3 + 2/3*r**q + 1/6*r**3 = 0.
-4, -1, 1
Let h = 545 + -541. Solve -g**h - 4*g**4 + 5*g - 8578*g**3 + 8563*g**3 + 15*g = 0.
-2, 0, 1
Suppose 0 = 15*d - 10*d - 10. Factor 89*y**d - 42*y**2 - 16*y + 4*y**3 - 47*y**2.
4*y*(y - 2)*(y + 2)
Let -1/7*d**5 + 0*d + 128/7*d**4 - 125/7*d**3 + 0 - 254/7*d**2 = 0. Calculate d.
-1, 0, 2, 127
Let q(m) be the first derivative of -3*m**5 + 1221*m**4 - 8993*m**3 + 15813*m**2 + 17280*m - 6251. Let q(t) = 0. What is t?
-2/5, 3, 320
Let j(t) be the second derivative of -5*t**7/294 + 22*t**6/35 - 13*t**5/35 - 858*t. Factor j(g).
-g**3*(g - 26)*(5*g - 2)/7
Suppose b + 45 = -4*b. Let x be (33/b + 5)/((-4)/(-6)). What is q in -27*q + q**x + 2 + 0*q**2 + 31*q + 1 = 0?
-3, -1
Let t(l) be the third derivative of l**7/6 - 31*l**6/6 - 169*l**5/12 - 95*l**4/12 + 2*l**2 - 161*l + 1. Factor t(z).
5*z*(z - 19)*(z + 1)*(7*z + 2)
Let i(w) be the first derivative of 225*w**4/4 + 185*w**3/3 - 300*w**2 - 140*w - 7273. Factor i(d).
5*(d + 2)*(5*d - 7)*(9*d + 2)
Let s(c) be the third derivative of 0 + 5/24*c**4 + c**2 + 43*c + 0*c**6 + 0*c**3 - 1/21*c**7 + 1/6*c**5 - 5/336*c**8. What is z in s(z) = 0?
-1, 0, 1
Let b(r) = 11*r**2 - 19*r + 13. Let w(t) = -2*t**2 + t. Let p = -28 - -29. Let s(n) = p*b(n) + 5*w(n). Factor s(x).
(x - 13)*(x - 1)
Let l(a) be the second derivative of 1/40*a**5 - 23*a + 2 - 9*a**2 - 5/24*a**4 - 8/3*a**3. Factor l(f).
(f - 9)*(f + 2)**2/2
Find p, given that 2*p**2 + 20*p**2 - 45*p**2 + 42*p + 5*p**2 - 98*p**2 = 0.
0, 21/58
Find j, given that -360 + 1056*j - 372*j**2 - 48*j**3 + 15/2*j**4 = 0.
-6, 2/5, 2, 10
Let l(s) be the third derivative of -s**5/240 + 31*s**4/96 + 205*s**3/12 + 2614*s**2. Let l(x) = 0. Calculate x.
-10, 41
Let g(x) be the third derivative of 0*x - 1/360*x**6 + 0*x**3 - 47*x**2 - 1/420*x**7 + 1/72*x**4 + 2 + 1/120*x**5. Find f, given that g(f) = 0.
-1, -2/3, 0, 1
Let t(f) be the second derivative of -f**4/120 + f**3/2 - 81*f**2/20 + 3*f - 714. Let t(j) = 0. Calculate j.
3, 27
Let y = -1/342045 + 684103/4446585. Factor -y*j**2 - 32/13 - 20/13*j.
-2*(j + 2)*(j + 8)/13
Suppose -6*w = -562287 - 315153. Factor -13 - w*h**2 - 7 - 205999*h**2 - 71166*h**2 - 5820*h.
-5*(291*h + 2)**2
Let o(b) be the first derivative of 3*b**5/20 - 1809*b**4/8 + 366013*b**3/4 - 1087209*b**2/2 + 1083603*b + 6548. Factor o(l).
3*(l - 601)**2*(l - 2)**2/4
Let v(j) be the third derivative of 14/3*j**3 + 0*j**4 + 30*j**2 - 1/30*j**5 + 0*j + 1/180*j**6 + 0. Let b(t) be the first derivative of v(t). Solve b(n) = 0.
0, 2
Let a = 3438/6295 + -184/1259. Let r be (1/(-5))/1 + 1. Let 0 - a*g - 2/5*g**3 - r*g**2 = 0. What is g?
-1, 0
Let c(g) be the first derivative of -128/3*g - 47 - 16/3*g**2 - 2/9*g**3. Solve c(o) = 0 for o.
-8
Let n(z) be the third derivative of 42*z**2 + 0*z + 4205/24*z**4 + 1 + 59/24*z**6 + 0*z**3 - 899/12*z**5 - 1/42*z**7. Solve n(j) = 0 for j.
0, 1, 29
Suppose 1 + 16 = 16*u + 17. Let j(p) be the second derivative of 3/170*p**5 + 1/102*p**4 - 2/51*p**3 + u*p**2 + 18*p + 0. Find s such that j(s) = 0.
-1, 0, 2/3
Solve 820*c**3 + 18*c**4 - 880*c - 3722/3*c**2 - 376/3 = 0 for c.
-47, -1/3, -2/9, 2
Let v(h) be the third derivative of h**5/12 - 25*h**4/4 + 145*h**3/6 - 2546*h**2. Factor v(r).
5*(r - 29)*(r - 1)
Factor -362935*z**2 + 181458*z**2 + 181467*z**2 - z**3 - 32*z - 32.
-(z + 2)*(z + 4)**2
Suppose x + 3*h + 9 = 0, 4*x = -0*h + 2*h - 36. Let k be (-3)/(x/6*1). Determine l so that -4*l**k + 0*l**3 - 6*l + 4 + 2*l**3 + 4*l**3 = 0.
-1, 2/3, 1
Let y = 577687 - 577685. Factor 2/7*z + 4/7*z**y + 0 + 2/7*z**3.
2*z*(z + 1)**2/7
Let t(i) be the third derivative of -2*i**2 + 205/6*i**4 + 1837/12*i**5 + 507/14*i**7 + 0*i + 10/3*i**3 - 71 + 533/4*i**6. Suppose t(p) = 0. Calculate p.
-1, -2/39
Let m(g) = 6 + 52*g**2 + 2 - 23*g**2 + 32*g + g**3 - 12*g**2 + 24. Let q be m(-15). Factor -21/8*h**q - 3*h - 3/8*h**3 + 6.
-3*(h - 1)*(h + 4)**2/8
Let b = 949 + -924. Suppose b*y - 242 = 158. Solve 2/7 + y*m**3 - 9/7*m - 24/7*m**2 = 0.
-2/7, 1/4
Let y(h) be the third derivative of -h**5/12 - 1125*h**4/4 - h**2 - 2990*h. Solve y(u) = 0.
-1350, 0
Factor -c**2 + 0 + 2*c**3 - 10/3*c - 1/3*c**4.
-c*(c - 5)*(c - 2)*(c + 1)/3
What is c in 6/11*c**3 + 24/11*c + 40/11*c**2 - 12/11*c**4 - 2/11*c**5 + 0 = 0?
-6, -1, 0, 2
Suppose -5*c = 10*c - 2160. Factor -95*t**2 + 3*t**3 - 1536 + 432*t + 23*t**2 + c*t.
3*(t - 8)**3
Let v(b) be the first derivative of 3/16*b**4 - 7/4*b**3 - 3/8*b**2 + 21/20*b**5 - 88 + 0*b. Solve v(u) = 0 for u.
-1, -1/7, 0, 1
Suppose -12 + 2*u**2 + 6*u**3 - 2/3*u**4 - 50/3*u = 0. What is u?
-1, 2, 9
Let a(f) be the third derivative of -f**8/2688 - f**7/105 - 11*f**6/960 + 2*f**5/15 + 5*f**4/16 - 1267*f**2. Find j, given that a(j) = 0.
-15, -2, -1, 0, 2
Let g(l) be the second derivative of l**7/84 - l**6/20 - l**5/5 + l**4/2 + 4*l**3/3 - 1348*l. Find k, given that g(k) = 0.
-2, -1, 0, 2, 4
Let b(c) = 2 + 2 + 4*c - 14*c - 8 + 2 + 3*c**2. Let w(a) = -5*a**2 + 12*a + 3. Let l(t) = 6*b(t) + 4*w(t). Factor l(j).
-2*j*(j + 6)
Let g(y) be the first derivative of 143 - 56/5*y - 11/5*y**2 - 2/15*y**3. Let g(s) = 0. Calculate s.
-7, -4
Let m be (6/(-9) - -1)*54. Suppose -62*v = -53*v - m. Determine p so that -18*p**3 + 0 - 4/3*p - 14/3*p**5 + 26/3*p**v + 46/3*p**4 = 0.
0, 2/7, 1
Determine w so that 2/3*w**2 + 4418/3 - 188/3*w = 0.
47
Let k(i) be the first derivative of i**6/280 - 19*i**5/70 + 73*i**4/56 - 18*i**3/7 - 24*i**2 - 16. Let d(x) be the second derivative of k(x). Factor d(v).
3*(v - 36)*(v - 1)**2/7
Let r(d) = d**3 - d. Let k(n) be the second derivative of -3*n**6/5 - 16*n**5/5 - n**4 + 13*n**3 + 8*n**2 + 40*n. Let b(v) = -k(v) - 6*r(v). Factor b(p).
2*(p - 1)*(p + 2)**2*(9*p + 2)
Let y = -91 - -109. Let c(n) = -2*n**4 + n**3 + 2*n**2 - n. Let l(d) = 99*d**4 - 45*d**3 - 14*d**2 + 9*d. Let v(p) = y*c(p) + 2*l(p). Solve v(s) = 0.
0, 2/9
Let q(r) be the third derivative of -3 + 1/105*r**7 - 1/1176*r**8 + 0*r**3 + 0*r**4 - 2*r**2 + 1/42*r**5 + 0*r - 11/420*r**6. Suppose q(m) = 0. What is m?
0, 1, 5
Let b(w) = w + 10. Let n = -82 - -74. Let z be b(n). Find y, given that -y**2 - 2*y**z - 7 + 27*y - 28 + 11 = 0.
1, 8
Let t be (4 + (-198)/48)/(18/(-720)). Let g(w) be the second derivative of 0*w**2 + 0 + 0*w**3 + 1/40*w**t + 1/12*w**4 - 15*w. Determine p, given that g(p) = 0.
-2, 0
Let k(l) be the first derivative of -10*l**2 + 24*l + 69 - 4/3*l**3. Let k(j) = 0. Calculate j.
-6, 1
Let 68/7 + 46/7*n**2 + 786/7*n = 0. What is n?
-17, -2/23
Suppose -10*g + 660 = 630. Let b be (42/(-7) + 6)/g. Let b*w + 2 - 3/2*w**2 + 1/2*w**3 = 0. What is w?
-1, 2
Let p(k) be the third derivative of -1/120*k**5 + 4/3*k**3 + 66*k**2 + 0*k**4 + 0 + k. Factor p(g).
-(g - 4)*(g + 4)/2
Factor -2774400*n - 8*n**3 - 14*n**3 + 20*n**3 + 2052*n**2 + 1999*n**2 + 628864000 + 29*n**2.
-2*(n - 680)**3
Let i = 4236 - 4227. Let n(j) be the first derivative of 0*j**2 + 0*j - 3/8*j**4 - 1/2*j**3 + i. What is f in n(f