+ c**5/20 - 2*c**3/3 - 70*c**2. Let g(f) = -f**3 - 3*f**2 + 4. Let y(q) = -6*g(q) - 4*t(q). Factor y(p).
-2*(p - 2)**2*(p + 1)
Let r = 554 + -563. Let i be (-44)/11*r/24. Factor 0 - 9*a - i*a**2.
-3*a*(a + 6)/2
Let n(l) = 15*l - 45. Let k be n(11). Let g be (-692)/k + 4/24 - -6. Let g*v + 4/5*v**2 - 2/5*v**3 - 4/5 = 0. What is v?
-1, 1, 2
Let a(k) = 11*k**3 - 184*k**2 + 412*k - 182. Let n(w) = -45*w**3 + 738*w**2 - 1648*w + 726. Let c(v) = 22*a(v) + 6*n(v). Factor c(i).
-4*(i - 11)*(i - 2)*(7*i - 4)
Determine z, given that -1649/3*z - 823/3*z**2 + 1/3*z**3 - 275 = 0.
-1, 825
Let z(d) be the second derivative of -1/10*d**4 - 1/10*d**3 + 1/50*d**6 - 1 + 3/50*d**5 + 3/10*d**2 + 20*d - 1/70*d**7. Factor z(x).
-3*(x - 1)**3*(x + 1)**2/5
Let s(j) be the third derivative of j**5/30 + 25*j**4/8 - 100*j**3/3 + 6*j**2 + 13*j. Let n be s(-40). Determine i, given that n*i + 2/5*i**3 + 0*i**2 + 0 = 0.
0
Let b(n) = -41*n**4 + 118*n**3 - 50*n**2 - 27. Let l(w) = 10*w**4 - 30*w**3 + 12*w**2 + 6. Let j(d) = 2*b(d) + 9*l(d). Factor j(m).
2*m**2*(m - 4)*(4*m - 1)
Let o(n) be the first derivative of -25/2*n**2 - 1/16*n**4 + 0*n - 5/3*n**3 - 80. Let o(b) = 0. Calculate b.
-10, 0
Let p be (3 - 2) + (-77)/(-11). Factor -p + 78*g - 206*g**3 - 141*g**2 + 156*g**3 - 39*g**2.
-2*(g + 4)*(5*g - 1)**2
Suppose 0 = -2*m - 3*m + 40 - 120, -5*b + 95 = -5*m. Let 42/5*f**b + 24/5*f**5 + 114/5*f**4 - 138/5*f**2 - 66/5*f + 24/5 = 0. What is f?
-4, -1, 1/4, 1
Let r(k) be the first derivative of k**5/15 - 53*k**4/12 + 75*k**3 + 243*k**2/2 + 441. Factor r(b).
b*(b - 27)**2*(b + 1)/3
Let t be 86/24 + (-1750)/750. Let n(b) be the third derivative of 0*b + 0 - 55/96*b**4 - t*b**3 - 22*b**2 - 1/8*b**5 - 1/96*b**6. Factor n(l).
-5*(l + 1)*(l + 2)*(l + 3)/4
Let v(x) be the first derivative of -3*x**5/25 - 93*x**4/5 - 4084*x**3/5 - 4464*x**2 - 8640*x - 3892. Determine w, given that v(w) = 0.
-60, -2
Let h(m) be the first derivative of 16/3*m**3 + 0*m**2 + 0*m + 22 + 1/120*m**6 + 25/8*m**4 + 1/4*m**5. Let r(c) be the third derivative of h(c). Factor r(k).
3*(k + 5)**2
Let s = 6978317/13 - 536793. What is w in -14/13*w + s*w**2 - 4/13 = 0?
-1/4, 2
Let d(i) be the second derivative of -i**5/20 + i**4 + 49*i**3/6 - 30*i**2 - 355*i. Determine g, given that d(g) = 0.
-4, 1, 15
Suppose 135/2 + 93/4*b**3 + 3/4*b**4 + 75/4*b**2 - 441/4*b = 0. Calculate b.
-30, -3, 1
Let o(z) be the second derivative of 1/36*z**4 + 68 + 0*z**5 - 2*z - 1/36*z**3 - 1/90*z**6 + 0*z**2 + 1/252*z**7. Suppose o(j) = 0. Calculate j.
-1, 0, 1
Let i be ((-819)/(-36))/13 - ((-125)/180 - 24/(-54)). Factor 0 - 722/17*c - 76/17*c**i - 2/17*c**3.
-2*c*(c + 19)**2/17
Let q(u) be the third derivative of -25*u**8/3864 + 8*u**7/161 + 941*u**6/1380 + 16*u**5/115 - 139*u**4/69 + 48*u**3/23 + 3779*u**2. Solve q(d) = 0 for d.
-4, -1, 2/5, 9
Let s be -8*(2068/176 + -12). Determine k, given that 2/5*k**s - 52/5 + 10*k = 0.
-26, 1
Let w(c) be the third derivative of c**5/330 + c**4/33 - 15*c**3/11 + 2229*c**2. Factor w(p).
2*(p - 5)*(p + 9)/11
Let b(s) = 5*s + 16. Let y be b(-1). Suppose -2*g = -9*k + 6*k + y, 4*g = -5*k + 11. Find z, given that 6/5*z + 0*z**2 + 3/5*z**4 - 6/5*z**k - 3/5 = 0.
-1, 1
Let s(h) be the first derivative of 4*h**5/45 + 328*h**4/9 + 36724*h**3/9 + 23544*h**2 + 34992*h - 2563. Solve s(d) = 0.
-162, -3, -1
Factor 4*t**2 - 243*t**4 + 92*t**4 + 75*t**4 - 9*t**3 + 75*t**4 + 36*t.
-t*(t - 2)*(t + 2)*(t + 9)
Let g(q) be the first derivative of -4*q**3/21 + 2864*q**2/7 + 2375. Suppose g(r) = 0. What is r?
0, 1432
Factor 11/5*b**3 - 1/5*b**4 - 8*b**2 + 0 + 48/5*b.
-b*(b - 4)**2*(b - 3)/5
Let d be (-105)/(-10) + (-21)/2. Solve -1/3*g**2 + d + 31/3*g = 0.
0, 31
Let q(g) be the first derivative of 2/3*g**6 - 16/3*g**3 + 63 + 8*g**2 + 0*g - 3*g**4 + 8/5*g**5. Factor q(s).
4*s*(s - 1)**2*(s + 2)**2
Factor 0*z - 114/7*z**2 - 3/7*z**4 + 0 + 9*z**3.
-3*z**2*(z - 19)*(z - 2)/7
Suppose 18 + 0 = 9*m. Factor -3620 + 3620 - w**m - 2*w.
-w*(w + 2)
Let z(v) be the first derivative of v**4/8 + 7*v**3/3 - 77*v**2/4 - 45*v + 1513. Factor z(q).
(q - 5)*(q + 1)*(q + 18)/2
Suppose 0 = -0*o - 8*o + 96. Let i be (1/o)/((-20)/(-80)). Factor i - 1/3*r**5 + 2/3*r**3 - 2/3*r**2 + 1/3*r**4 - 1/3*r.
-(r - 1)**3*(r + 1)**2/3
Factor -486 + 3403/2*r - 7/4*r**2.
-(r - 972)*(7*r - 2)/4
Let x(z) = -2*z**3 + 37*z**2 - 16*z - 34. Let c be x(18). Factor -1039 - 25*i + 5*i**3 + 39 + 0*i**3 + 90*i**c + 325*i.
5*(i - 2)*(i + 10)**2
Factor -10160 - 3032*g**2 + 15264*g + 185*g**4 - 1722*g**2 - 186*g**4 - 208 - 141*g**3.
-(g - 2)*(g - 1)*(g + 72)**2
Let x(m) be the third derivative of 20/21*m**3 + 0 - 4*m**2 - 1/210*m**5 + 0*m - 2/21*m**4. Find f, given that x(f) = 0.
-10, 2
Let h = 263 - 259. Let v be h + -6 + (1 - (-27)/21). Factor v*u**2 - 2/7*u**4 - 2/7*u + 0 + 2/7*u**3.
-2*u*(u - 1)**2*(u + 1)/7
Let p(d) be the third derivative of -d**6/120 - 21*d**5/10 + d**4/6 + 84*d**3 + 515*d**2. Factor p(u).
-(u - 2)*(u + 2)*(u + 126)
Let o(p) = 26*p**2 + 10*p + 21. Let j be o(-7). Factor 607 + 606 + 2*a + 2*a**2 - j.
2*(a - 2)*(a + 3)
Let -388/5*r**2 - 194/5*r**3 - 2/5*r**5 - 112/5 - 344/5*r - 8*r**4 = 0. What is r?
-14, -2, -1
Factor 962 - 167*v + 173922*v**2 - 173918*v**2 - 1415*v - 344*v.
2*(v - 481)*(2*v - 1)
Let q(d) = d**2 - d + 12. Let m(s) = -25*s**2 + 2240*s + 243845. Let n(c) = -m(c) - 30*q(c). Factor n(b).
-5*(b + 221)**2
Let j(k) = 2*k**3 + k + 3. Let u(y) = -52*y**3 - 40*y**2 - 152*y - 200. Let h(f) = 24*j(f) + u(f). Let h(c) = 0. Calculate c.
-4, -2
Let o(t) be the first derivative of t**5/5 + 63*t**4/4 + 19*t**3 - 307*t**2/2 + 186*t + 1272. Factor o(j).
(j - 1)**2*(j + 3)*(j + 62)
Suppose -5*r + 33 = -p, 451*r - 28 = 447*r. Factor 1250/3 - 100/3*v + 2/3*v**p.
2*(v - 25)**2/3
Let w(c) be the third derivative of c**5/120 - 49*c**4/24 + 46*c**3 - 5460*c**2. Factor w(o).
(o - 92)*(o - 6)/2
Let j be ((-15)/5 - -8 - -3)*12/24. Let v(d) be the first derivative of 3*d**j + 12*d**2 - 8*d + 16 - 26/3*d**3 - 2/5*d**5. Factor v(y).
-2*(y - 2)**2*(y - 1)**2
Let n(j) be the first derivative of 5*j**6/6 - 34*j**5 + 405*j**4 - 3890*j**3/3 + 3575*j**2/2 - 1140*j - 2311. Factor n(d).
5*(d - 19)*(d - 12)*(d - 1)**3
Factor 77/2 + 23/4*i**3 + 105/4*i**2 - 283/4*i + 1/4*i**4.
(i - 1)**2*(i + 11)*(i + 14)/4
Let z be 8 + (-144)/9 + -1543. Let v = -1549 - z. Factor 26/15*k**3 + 14/15*k + 8/15*k**4 + 2/15 + v*k**2.
2*(k + 1)**3*(4*k + 1)/15
Let f(a) be the first derivative of -5*a**3/3 + 2010*a**2 - 808020*a - 928. Factor f(o).
-5*(o - 402)**2
Let c(o) be the second derivative of o**6/60 - 7*o**5/40 + 5*o**4/8 - 3*o**3/4 + 7*o + 74. Factor c(p).
p*(p - 3)**2*(p - 1)/2
Let a(v) be the first derivative of -11/50*v**5 + 25*v + 0*v**3 + 1/15*v**4 - 19 + 0*v**2. Let o(l) be the first derivative of a(l). Factor o(h).
-2*h**2*(11*h - 2)/5
Factor 944 - 979 + 105*i**2 + 1115 - 11350*i.
5*(i - 108)*(21*i - 2)
Let g = 4807 + -62489/13. Let v(t) be the first derivative of -12 - 2/13*t - 3/13*t**2 - g*t**3 - 1/26*t**4. Factor v(i).
-2*(i + 1)**3/13
Suppose 307 = 138*v - 490 - 31. Let t(c) be the second derivative of -4/105*c**v + 0*c**3 + 0 - 1/35*c**5 + 0*c**4 - 2/147*c**7 + 0*c**2 - 3*c. Factor t(y).
-4*y**3*(y + 1)**2/7
Let v = 233 - 218. Let u be v/10 - 0/9. Factor 9*k - 15/2 - u*k**2.
-3*(k - 5)*(k - 1)/2
Suppose -68*b**2 + 894*b - 89*b + 0*b + 114*b**3 - 113*b**3 - 2646 = 0. What is b?
7, 54
Let d(k) = 63*k + 128. Let v be d(-2). Let m(b) be the first derivative of 0*b - 16/39*b**3 + 0*b**v - 1/26*b**4 - 16. Find p such that m(p) = 0.
-8, 0
Let x(c) be the first derivative of c**6/120 + c**5/20 + c**4/8 - 31*c**3/3 - 22. Let t(z) be the third derivative of x(z). Let t(v) = 0. Calculate v.
-1
Let u(c) = 7*c**2 + 1. Let y = -24 - -23. Let b be u(y). Factor -16*w + 6*w**3 - 3*w**3 - 10*w**2 - b - 2*w**3 - 3*w**3.
-2*(w + 1)*(w + 2)**2
Factor -9*n**4 - 98*n**2 - 49*n**3 - 25 - 165/2*n - 1/2*n**5.
-(n + 1)**3*(n + 5)*(n + 10)/2
Let n(d) = d**3 - 9*d**2 - 9*d - 7. Let v be n(10). What is w in -39 - w**v + 727*w - 652*w - 33*w**2 - 2*w**3 = 0?
-13, 1
Let a = 47869/87901 + 7/7991. Factor 4/11 + 2/11*o**2 + a*o.
2*(o + 1)*(o + 2)/11
Let d(n) be the third derivative of -n**7/105 - 13*n**6/120 + 21*n**5/160 + 25*n**4/96 + 7*n**3/48 - n**2 + 1091. Find i such that d(i) = 0.
-7, -1/4, 1
Let s = -14