= 0.
-1, 1/2, 3
Let b(q) = -227*q**2 - 245*q - 18. Let g be b(-1). Find h, given that -28/13*h + g - 2/13*h**2 = 0.
-14, 0
Let t(c) = -206*c**3 - 3*c**2 - 7*c - 10. Let d be t(-2). Factor -1639*y**5 + 0*y**4 - y**4 + y**2 + 3*y - 3*y**3 - y + d*y**5.
y*(y - 2)*(y - 1)*(y + 1)**2
Let p(n) = n**3 - n**2 - n + 1. Suppose 28*k - 21 + 49 = 0. Let x(f) = 4*f**3 - 31*f**2 + 53*f - 17. Let o(i) = k*p(i) - x(i). Factor o(w).
-(w - 4)*(w - 2)*(5*w - 2)
Let h(r) be the second derivative of -r**7/168 + r**6/24 + 7*r**5/80 - 5*r**4/48 - r**3/4 + 203*r. What is b in h(b) = 0?
-1, 0, 1, 6
Solve 15*f - 116470*f**3 + 32*f**2 - 7*f**4 + 116489*f**3 + 9*f**4 = 0 for f.
-15/2, -1, 0
Let y(p) = -p**3 - 3*p**2 + 49*p - 82. Let u be y(4). Factor -4/7*x + 2/7*x**u + 0.
2*x*(x - 2)/7
Let b(m) be the second derivative of 3/40*m**5 - 1/80*m**6 + 0 + 0*m**2 - 3/8*m**3 - 1/32*m**4 - 68*m. Factor b(x).
-3*x*(x - 3)*(x - 2)*(x + 1)/8
Let n(h) = 9*h**2 - 12*h + 3. Let w(s) be the first derivative of -10*s**3/3 + 6*s**2 - 2*s - 4. Let r(o) = -7*n(o) - 6*w(o). Find c such that r(c) = 0.
1, 3
Let s(t) be the first derivative of 3*t**4/8 + 3*t**3/4 - 255*t**2/4 - 513*t/4 + 1395. Let s(g) = 0. Calculate g.
-19/2, -1, 9
Let d(g) be the second derivative of -g**7/21 - 7*g**6/5 + 48*g**5/5 - 50*g**4/3 - 786*g + 2. Solve d(h) = 0 for h.
-25, 0, 2
Suppose 5*a**3 + 34*a**2 + 45/2 + 51*a - 1/2*a**4 = 0. Calculate a.
-3, -1, 15
What is b in -66*b**2 + 53*b**3 + b**3 - 195104*b + 2*b**4 - 168 + 194818*b = 0?
-28, -1, 3
Let i(o) = 10*o**5 + 59*o**4 - 6*o**3 - 47*o**2 - 43*o - 15. Let z(y) = y**5 + 6*y**4 - y**2. Let g(u) = 2*i(u) - 18*z(u). Determine c, given that g(c) = 0.
-5, -1, 3
Find o such that 822/7*o**2 - 40/7 + 80/7*o**3 + 216/7*o = 0.
-10, -2/5, 1/8
Let k = -375134/3 + 125046. Find d such that 16/9 + 40/9*d + 10/9*d**4 - 26/9*d**3 - k*d**2 = 0.
-1, -2/5, 2
Let v(o) be the third derivative of -o**7/168 - 11*o**6/72 - 5*o**5/12 - 10*o**3 + 193*o**2. Let h(j) be the first derivative of v(j). Factor h(f).
-5*f*(f + 1)*(f + 10)
Let d(i) = -i**3 + 8*i**2 - 3*i - 24. Let m(b) = b**2 - 2*b - 9. Let x(p) = -3*d(p) + 6*m(p). Find s such that x(s) = 0.
-1, 1, 6
Let n(t) be the third derivative of -t**5/450 + 41*t**4/60 + 124*t**3/45 - 1571*t**2. Let n(r) = 0. What is r?
-1, 124
Let j = 563/339 + 2/339. Let v = -2/525 + 877/525. Factor 5 + v*a**3 - j*a - 5*a**2.
5*(a - 3)*(a - 1)*(a + 1)/3
Let f be 2*4/92 - 3660/(-230). Suppose 0 = 2*t, 7 = 5*j + 4*t - 33. Factor -f - 10 - 2*k**3 + 44 - 10 - 2*k**2 + j*k.
-2*(k - 2)*(k + 1)*(k + 2)
Suppose 0*b = 2*b - 4. Let l(n) = 5*n**2 - 98*n + 65. Let a be l(19). Solve a*k + 8*k**3 - 12*k + 2*k**2 - b*k**3 = 0.
-1, 0, 2/3
Suppose 449*s**2 - 7*s**3 + 4*s**5 - 493*s**2 - 16*s - 29*s**3 - 4*s**4 = 0. Calculate s.
-1, 0, 4
Let r(f) be the third derivative of f**6/120 - 13*f**5/20 - 31*f**4/6 - 14*f**3 + 22*f**2 + 27*f. Determine j so that r(j) = 0.
-2, -1, 42
Let j = 116524 + -582611/5. Factor 3/5*s**4 + 3/5*s**2 - 6/5 - j*s + 9/5*s**3.
3*(s - 1)*(s + 1)**2*(s + 2)/5
Factor -2/7*v**2 - 24642/7 - 444/7*v.
-2*(v + 111)**2/7
Let z be (22 - -8)*1/(-2 + 4). Let a + 3*a**3 - 5*a**3 + a**3 - 4*a**2 + z - 11 = 0. Calculate a.
-4, -1, 1
Suppose 8*r = -2*r - 320. Let n be 8/r*16/(-2). Factor -1/5*c**3 - 1/5*c**n + 1/5*c**4 + 0 + 1/5*c.
c*(c - 1)**2*(c + 1)/5
Suppose 29*b - 140 = b. Factor -362*u**4 + 326*u**4 + 4*u**5 + 192*u - 224*u**2 + 0*u**b - 64 + 128*u**3.
4*(u - 2)**4*(u - 1)
Let h be 0/(4 + -2 - 0 - (-40)/(-10)). Let i(t) be the third derivative of 5/2*t**5 + 2500/3*t**3 + h*t - 1/24*t**6 - 38*t**2 + 0 - 125/2*t**4. Factor i(x).
-5*(x - 10)**3
Let r(j) be the third derivative of -j**7/105 - 143*j**6/15 - 20449*j**5/5 - 2924207*j**4/3 - 418161601*j**3/3 - 10*j**2 - 89*j. Factor r(h).
-2*(h + 143)**4
Let i = -1970323 + 3940647/2. Factor -i*o**4 + 4*o**3 - 11*o + 3/2*o**2 - 8.
-(o - 8)*(o - 2)*(o + 1)**2/2
Let s(p) be the second derivative of -11/21*p**3 + 5/7*p**2 + 12*p + 1/6*p**4 - 1/70*p**5 + 2. Factor s(z).
-2*(z - 5)*(z - 1)**2/7
Let d(o) be the third derivative of -2 + 0*o - 1/840*o**6 + 8*o**2 + 3/140*o**5 - 9/56*o**4 + 9/14*o**3. Factor d(q).
-(q - 3)**3/7
Let q = -55000 - -605010/11. Suppose q*m**3 + 60/11*m + 16/11 + 54/11*m**2 = 0. Calculate m.
-4, -1, -2/5
Let w(h) = h**3 - 15*h**2 + 12*h + 34. Let o be w(14). Suppose 4*y = 5*c - 34, -c + 0*y - o = -4*y. Factor 154 - c*a + a - 166 + 3*a**2.
3*(a - 4)*(a + 1)
Let h(r) be the first derivative of -2*r**3/3 - 128*r**2 - 8192*r - 713. Factor h(u).
-2*(u + 64)**2
Solve -5550*k**2 - 21903 - 445*k**3 - 5097 + 3280*k - 26140*k - 5*k**4 = 0.
-75, -6, -2
Suppose -2*s + 3*m - 241 = 431, 5*s + 1718 = -2*m. Let f = s + 344. Factor 4/19*p**f + 0 - 2/19*p**3 - 2/19*p.
-2*p*(p - 1)**2/19
Let z(b) = b**3 + b**2 - 4*b + 12. Let g(x) = 9*x**3 - 2016*x**2 + 145720*x - 41448. Let p(o) = g(o) - 2*z(o). Factor p(j).
(j - 144)**2*(7*j - 2)
Let z(f) = 62*f - 109. Let q be z(0). Let a = 379/3 + q. Factor -3*g**3 - 23*g + a*g**2 - 6.
-(g - 3)**2*(9*g + 2)/3
Let b(d) = -2*d**2 - d. Let n(w) = -5*w**2 - 292*w + 294. Let t(y) = -b(y) + n(y). Let t(z) = 0. What is z?
-98, 1
Let r(l) = 3*l + 29. Let m be r(7). Let h = 54 - m. Determine f, given that 0*f**3 + f**3 - 128*f**5 + 2*f**2 + 127*f**5 - 2*f**h = 0.
-2, -1, 0, 1
Let g = 500 + -491. Let u be 2/(-18) - (-3)/g. What is c in -u - 2/9*c**2 + 4/9*c = 0?
1
Let f be ((-96)/(-54))/8*9. Factor 173*t**2 + 2*t**5 + 4*t**3 - 6*t**4 - 173*t**f.
2*t**3*(t - 2)*(t - 1)
Let n(a) be the third derivative of -1/30*a**5 - a + 0 - 5/3*a**4 + 44/3*a**3 + 73*a**2. Factor n(l).
-2*(l - 2)*(l + 22)
Let g = -1438 + 3053. Let u be g/68 - (-2)/8. Factor 3*o**3 + 28*o**4 - 16*o + 9*o**3 - u*o**4.
4*o*(o - 1)*(o + 2)**2
Let f(g) = -g**3 - 7*g**2 + 12*g - 18. Let q(n) = 2*n**3 + 17*n**2 - 22*n + 35. Let i(c) = -5*f(c) - 2*q(c). Find p such that i(p) = 0.
-5, 2
Let k(d) be the first derivative of -d**3/6 + 35*d**2/2 + 148*d + 2628. Factor k(a).
-(a - 74)*(a + 4)/2
Let a(i) be the first derivative of -i**5/15 - 43*i**4/6 - 163*i**3/3 - 120*i**2 - 2985. Factor a(t).
-t*(t + 3)**2*(t + 80)/3
Let -46/5*d + 204/5 + 2/5*d**2 = 0. Calculate d.
6, 17
Let n(x) = 5*x**3 + 8*x**2 - 106*x - 333. Let h(s) = -26*s**3 - 40*s**2 + 530*s + 1664. Let f(m) = -3*h(m) - 16*n(m). Factor f(y).
-2*(y - 7)*(y + 3)*(y + 8)
Find l, given that 207/4 + 52*l + 1/4*l**2 = 0.
-207, -1
Let o = -84 - -75. Let y be ((-3)/2)/(o/12). Let 5*w + 6 + 40*w + 21*w**y + 18*w**2 = 0. Calculate w.
-1, -2/13
Factor 1128/7*h - 159048/7 - 2/7*h**2.
-2*(h - 282)**2/7
Let x(u) be the second derivative of -u**7/42 + u**6/30 + 57*u**5/20 - 113*u**4/12 + 28*u**3/3 - 113*u. Let x(f) = 0. Calculate f.
-8, 0, 1, 7
Suppose 3*y + 2*y = -50. Let a be (0 - 0) + (y - -15). Determine z, given that -250*z**3 + 247*z**3 - 2*z**2 + 2*z**5 - z**a = 0.
-1, 0, 2
Let w(h) be the third derivative of -32/3*h**4 - 10 - 1/30*h**6 + 16/15*h**5 + 0*h + h**2 + 0*h**3. Determine r, given that w(r) = 0.
0, 8
Let l = -887 + 889. Let t be 6 - (600/35)/3. Suppose -2/7*q + 2/7*q**l + t*q**3 - 2/7 = 0. Calculate q.
-1, 1
Let u(w) = 24*w**3 - 29*w**2 - 39*w - 12. Let j(q) = -11*q**3 + 14*q**2 + 19*q + 6. Let s(y) = 13*j(y) + 6*u(y). Factor s(m).
(m + 1)**2*(m + 6)
Let d(b) = -11*b**5 + 5*b**4 + 28*b**3 - 154*b**2 - 32*b + 640. Let a(y) = 5*y**5 - y**3 + y**2. Let k(t) = 2*a(t) + d(t). Factor k(j).
-(j - 4)**3*(j + 2)*(j + 5)
Suppose -29 + 9 = -h. Let i be (1 - 0) + h + -21. Factor f + 61*f**2 - 63*f**2 + i*f + 2*f**4 - f**5.
-f*(f - 1)**3*(f + 1)
Let g(m) = 10*m**5 - 62*m**4 - 280*m**3 - 460*m**2 - 189*m. Let r(c) = 7*c**5 - 42*c**4 - 186*c**3 - 308*c**2 - 126*c. Let f(p) = -5*g(p) + 7*r(p). Factor f(d).
-d*(d - 21)*(d + 1)**2*(d + 3)
Let i(q) be the second derivative of q**7/315 + 76*q**6/225 - 26*q**5/25 + q**4/45 + 31*q**3/9 - 26*q**2/5 + 19*q + 6. Find t, given that i(t) = 0.
-78, -1, 1
Suppose 3/4*y**2 + 0 - 225/4*y = 0. Calculate y.
0, 75
Let d(f) = f**4 + f**3 + f**2 + 2*f + 2. Let m(o) = -2*o**4 + 2*o**3 - 6*o**2 - 14*o - 8. Let b(w) = 4*d(w) + m(w). Determine t, given that b(t) = 0.
-3, -1, 0, 1
Suppose 10*d + 4 = 11*d. Suppose d = -3*q + 16. Factor 2*k - 7*k**5 + q*k**5 + 0*k**3 - 4*k**3 + 5*k**5.
2*k*(k - 1)**2*(k + 1)**2
Suppose 4*p - 167 = -h, -25 = 3*p - 4*h - 174. Let s