/5*c**2 + 59/20*c**4 + 7/30*c**6 - 7/3*c**3 + 0*c - 37/25*c**5. Find p such that t(p) = 0.
0, 2/7, 1, 3
Let l(r) = 12*r**2 + 140*r + 366. Let c(p) = 37*p**2 + 429*p + 1095. Let k(s) = 2*c(s) - 7*l(s). Suppose k(b) = 0. Calculate b.
-31/5, -6
Factor 10*w**4 - 79*w**4 + 209*w**3 - 414*w**3 - 30*w**2 + 4*w**4.
-5*w**2*(w + 3)*(13*w + 2)
Suppose -16*u + 3 = -77. Suppose -2*b + 27 = u*k + 20, 14 = -2*k - 5*b. Solve 2187/2 + 285*z**k + 3/2*z**5 + 75/2*z**4 - 3645/2*z + 405*z**2 = 0 for z.
-9, 1
Let j(v) be the third derivative of -v**5/30 - 16*v**4 - 191*v**3/3 + 1534*v**2. Let j(q) = 0. Calculate q.
-191, -1
Let k be -1*(-5)/((-15)/(-6)). Suppose -1245 + 1213 = -8*c. Factor 5*a**k + 3*a**2 + 13*a - c*a**2 + 11*a.
4*a*(a + 6)
Let n(g) be the second derivative of -g**7/6300 + 11*g**6/3600 - g**5/120 - 3*g**4/4 - 4*g - 5. Let q(m) be the third derivative of n(m). Factor q(l).
-(l - 5)*(2*l - 1)/5
Let i be 4 - 2 - 620/6. Let q = i + 308/3. Factor -n**2 + 4/3*n**3 - q*n + 4/3 - 1/3*n**4.
-(n - 2)**2*(n - 1)*(n + 1)/3
Let z be (2 - -6) + -1 + 14/(-7). Suppose 0 = -z*x + 23 + 27. Let 10*k + 7*k**2 - k**2 - 3*k**4 - x*k - 3 = 0. What is k?
-1, 1
Factor -4*w**3 - 29*w - 276*w**2 + 145*w - 388*w.
-4*w*(w + 1)*(w + 68)
Let n be (-3)/12 - 21/(-4). Suppose -3492*l = -3501*l + 423. Factor -42*p - l*p - 51*p + n*p**2 + 130*p.
5*p*(p - 2)
Find w such that -1/4*w**3 + 0 + 3/4*w - 5/8*w**2 + 1/8*w**4 = 0.
-2, 0, 1, 3
Let w(c) = 7*c**2 - 9*c - 16. Let a = -46 + 43. Let b(d) = -12*d**2 + 19*d + 31. Let m(p) = a*b(p) - 5*w(p). Factor m(y).
(y - 13)*(y + 1)
Let t(g) = 2*g + 12. Let f be t(7). Suppose 256 = f*c - 22*c. Let -c - 15*q + 20*q**3 + 5*q**2 - 37*q**2 - 161*q = 0. Calculate q.
-2, -2/5, 4
Let m be (10640/475)/((-4)/(-10)). Let s be 8/m*-7 + 10/8. Find f, given that 0 - 1/4*f - 1/2*f**2 - s*f**3 = 0.
-1, 0
Find d such that 2/11*d**2 - 10416/11*d + 13561632/11 = 0.
2604
Let q(c) be the first derivative of -56 - 23/8*c**4 + 9/5*c**5 + 12*c - 5*c**2 - 13*c**3 + 7/12*c**6. Suppose q(x) = 0. Calculate x.
-2, -1, 3/7, 2
Suppose -51*k = -112*k + 122. Let y(i) be the first derivative of -14 - 2/9*i**3 - 28/3*i**k - 392/3*i. Solve y(x) = 0.
-14
Let a be ((-1)/(-4))/(5*13/1560) - 3. Let n(p) be the second derivative of 0 - 2/39*p**a + 0*p**2 - 9*p - 1/78*p**4. Find z, given that n(z) = 0.
-2, 0
Let x(m) be the first derivative of -4 + 135*m + 11*m**5 + 150*m**3 + 115/2*m**4 + 405/2*m**2 + 5/6*m**6. Factor x(t).
5*(t + 1)**2*(t + 3)**3
Let u be (10/(-25))/(-3 - (-515)/150). Let h = u - -290/117. Determine v, given that -8/9*v**3 + 4/9 + h*v - 10/9*v**2 = 0.
-2, -1/4, 1
Let i be ((-60)/18 - -2)*3. Let b(o) = o**2 - o - 2. Let w(t) = -4*t**2 - 40*t + 4. Let y(j) = i*b(j) - 2*w(j). Factor y(g).
4*g*(g + 21)
Let i be 45/35 - 24335/20615. Let -34/19*g - 16/19*g**2 - 20/19 - i*g**3 = 0. Calculate g.
-5, -2, -1
Find v, given that 1624/3*v + 53824/9 + 2/9*v**3 - 24*v**2 = 0.
-8, 58
Let n be (-69 + 65)/(-2 + -4 + 5). Let u(o) be the second derivative of 0*o**2 - 1/40*o**5 + 27*o - 1/48*o**n + 0 + 1/12*o**3 + 1/120*o**6. Factor u(l).
l*(l - 2)*(l - 1)*(l + 1)/4
Let n(c) = 3*c - 3*c - 7*c + 5 + 4*c. Let p be n(-14). Factor -28*r**4 + 15*r - p*r - 72*r**3 - 110*r**2 + 30*r**2 - 4*r**5.
-4*r*(r + 1)*(r + 2)**3
Let h(j) be the second derivative of 3*j**6/20 + 21*j**5/20 - 17*j**4/6 + 2*j**3 + 573*j. Factor h(g).
g*(g + 6)*(3*g - 2)**2/2
Let y(q) be the first derivative of -31 + 0*q + 1/5*q**2 - 1/5*q**3. Solve y(o) = 0 for o.
0, 2/3
Let q = -1966 - -1970. Let v be -6*2/(-3) - 2. Factor -1/6 + 1/3*y**v - 1/6*y**q + 0*y**3 + 0*y.
-(y - 1)**2*(y + 1)**2/6
Let n(m) be the third derivative of m**7/70 - 5*m**6/8 + 34*m**5/5 - 45*m**4/2 + 547*m**2 - 4*m. Factor n(w).
3*w*(w - 18)*(w - 5)*(w - 2)
Suppose -636/5 - 489/5*b + 30*b**2 + 3/5*b**3 = 0. What is b?
-53, -1, 4
Let k(m) be the first derivative of m**5/5 + 209*m**4/4 + 11227*m**3/3 + 31827*m**2/2 - 5386. Solve k(r) = 0 for r.
-103, -3, 0
Let b be (2/(-9) - (-115)/(-90))/(180/(-600)). Let z(h) be the third derivative of -16/27*h**3 - 1/270*h**5 + 0*h + 0 - b*h**2 + 2/27*h**4. Factor z(i).
-2*(i - 4)**2/9
Solve 1424*b - 375*b**2 - b**3 - 361*b**2 - 10*b**3 + b**3 - 600 + 930*b**2 = 0 for b.
-6, 2/5, 25
Let c(y) be the first derivative of -4*y**5/5 - 143*y**4 - 564*y**3 - 842*y**2 - 560*y - 1257. Factor c(m).
-4*(m + 1)**3*(m + 140)
Let f(m) be the third derivative of -m**5/140 + 25*m**4/56 - 72*m**3/7 + 15*m**2 + 10*m - 10. Factor f(d).
-3*(d - 16)*(d - 9)/7
Let n(w) = 2*w**5 - 248*w**4 - 498*w**3 - 252*w**2. Let v(f) = -f**3. Let l(p) = n(p) + 4*v(p). Factor l(x).
2*x**2*(x - 126)*(x + 1)**2
Let y = -137623/2 + 68813. Determine f so that -5/2*f + y - 1/2*f**5 - f**2 + 3*f**3 - 1/2*f**4 = 0.
-3, -1, 1
Suppose 0 = -7333*y + 7323*y. Let w(b) be the first derivative of -5/4*b**4 + 0*b**3 + y*b - 5 + 5/2*b**2. Factor w(s).
-5*s*(s - 1)*(s + 1)
Let v = 72090 - 72085. Suppose 2*c**3 + 4/3*c**4 - 2/3*c**v - 16/3*c**2 + 0 + 8/3*c = 0. What is c?
-2, 0, 1, 2
Let k(z) be the first derivative of z**4/6 - 31*z**3/6 + 37*z**2/4 - 11*z/3 + 320. Factor k(u).
(u - 22)*(u - 1)*(4*u - 1)/6
Let b be (-2071)/(-218) - (-6)/(-4). Let f be b - -2*13/((-65)/10). Factor -24/5*h + 22/5*h**2 - 2/5*h**f + 4/5*h**3 - 72/5.
-2*(h - 3)**2*(h + 2)**2/5
Suppose -2/5*a**4 - 672*a - 5760 + 28/5*a**3 + 382/5*a**2 = 0. What is a?
-8, 15
Let r = -188 + 193. What is b in 2*b + 40*b**3 - 48*b**2 - 12*b**5 + r*b - 3*b + 8 + 8*b**4 = 0?
-2, -1/3, 1
Let f(w) = -47*w**4 - 230*w**3 - 59*w**2 + 461*w - 120. Let m(y) = 24*y**4 + 114*y**3 + 30*y**2 - 231*y + 60. Let i(l) = -3*f(l) - 5*m(l). Solve i(k) = 0.
-5, -2, 2/7, 1
Let b(q) be the first derivative of -2/21*q**4 - 1/210*q**5 - 1/2*q**2 - 27 - 16/21*q**3 + 0*q. Let o(t) be the second derivative of b(t). Factor o(d).
-2*(d + 4)**2/7
Let t(d) be the second derivative of 13/2*d**3 + 1/20*d**5 - 46*d + 0 + 10/3*d**4 + 0*d**2. Factor t(y).
y*(y + 1)*(y + 39)
Let r(x) be the first derivative of 100/13*x**3 + 5/13*x**4 + 1/130*x**5 + 1000/13*x**2 + 32 - 41*x. Let c(b) be the first derivative of r(b). Factor c(m).
2*(m + 10)**3/13
Let s(i) be the first derivative of -i**4/2 + 462*i**3 - 160083*i**2 + 24652782*i + 3396. Factor s(k).
-2*(k - 231)**3
Suppose -235 = -26*n + 51. Let x be (27/6)/(n + (-648)/64). Suppose 72/7*t + x*t**2 + 54/7 + 8/7*t**3 + 2/21*t**4 = 0. Calculate t.
-3
Let a(d) be the third derivative of -1/6*d**4 + 0 + 0*d - 101/30*d**5 + 0*d**3 + 206*d**2 - 833/40*d**6 + 867/140*d**7. Determine j, given that a(j) = 0.
-2/51, 0, 2
Let i(c) = -2*c**3 - c**2 + c - 1. Let h(o) = -44*o**3 + 209*o**2 + 489*o - 21. Let a(s) = -2*h(s) + 42*i(s). Find u such that a(u) = 0.
-2, 0, 117
Find y, given that 4*y**4 - 24*y**2 + 471324 - y**4 - 440*y - 471868 + 3*y**4 - 4*y**4 + 34*y**3 = 0.
-17, -2, 4
Solve -4*q**2 - 147 + 21592*q - 21500*q - 301 = 0 for q.
7, 16
Let w(h) be the second derivative of 0 - 5/6*h**4 - 46*h**2 + 100*h - 39*h**3. Let w(c) = 0. Calculate c.
-23, -2/5
Factor -572*y - 107 + 439 + 292 + 2*y**2 - 54*y.
2*(y - 312)*(y - 1)
Let r(d) = 2*d - 19. Suppose 5*m - 7 = 38. Let a be r(m). Let g(v) = -v**2 - v. Let w(q) = 3*q**2 + 12*q + 25. Let n(u) = a*w(u) - 2*g(u). Factor n(s).
-(s + 5)**2
Let g(c) = -c**3 + 23*c**2 - 45*c + 23. Let f(i) = 2*i**3 - 45*i**2 + 89*i - 46. Let x be -3*30/(-36)*-2. Let o(b) = x*g(b) - 2*f(b). Solve o(w) = 0 for w.
1, 23
Factor -2511/4*q**2 - 3/4*q**3 + 526683/4 - 524169/4*q.
-3*(q - 1)*(q + 419)**2/4
Let h(a) be the first derivative of 4*a**3/3 - 2376*a**2 + 1411344*a + 4720. Determine v, given that h(v) = 0.
594
Let w = -539 - -35. Let u be w/(-27)*10/105. What is f in -50/9*f**5 + 0 + 44/3*f**3 - 10/9*f**4 + u*f - 88/9*f**2 = 0?
-2, 0, 2/5, 1
Let q(y) be the third derivative of y**6/600 - 3*y**5/100 + y**4/8 - 13*y**3/2 + 59*y**2 - 2. Let p(m) be the first derivative of q(m). Factor p(b).
3*(b - 5)*(b - 1)/5
Let i(n) be the second derivative of 1/15*n**6 + 0 + 0*n**5 + 0*n**3 + 0*n**2 - 25*n + 0*n**4. Factor i(r).
2*r**4
Let m(r) = -r**2 - r + 24. Let o be m(-6). Let i be -65*o/140 - (-6)/(-21). Find y, given that -10 + i*y**2 + 15/2*y = 0.
-4, 1
Let i(k) be the first derivative of 10/3*k - 2/9*k**3 + 50 - 4/3*k**2. Determine q so that i(q) = 0.
-5, 1
Let a(p) = -39 + 12 + 8 + 1 + 24*p. Let o 