7*o**4/48 - 11*o**3/18 + 315*o**2. Solve x(k) = 0.
-11/5, -2/3, 1
Let k(s) = -3*s**2 - s - 19. Let x(c) = -2*c - 1. Let l(u) = 5*k(u) - 35*x(u). Determine b, given that l(b) = 0.
4/3, 3
Let x(u) be the second derivative of -10*u + 0*u**2 - 11/5*u**5 + 0 - 4/5*u**6 - 2*u**4 - 2/3*u**3. What is r in x(r) = 0?
-1, -1/2, -1/3, 0
Let v(t) be the third derivative of t**8/3024 + 4*t**7/945 + t**6/90 - t**5/270 - 13*t**4/216 - t**3/9 - 27*t**2 + 7*t. What is o in v(o) = 0?
-6, -1, 1
Let t(b) be the first derivative of -b**4/20 + 11*b**3/15 - 17*b**2/5 + 24*b/5 - 137. Find o, given that t(o) = 0.
1, 4, 6
Let 10 + 2/5*d**2 + 4*d = 0. What is d?
-5
Let p(o) be the second derivative of o**4/54 - 8*o**3/27 + 4*o**2/3 + o + 73. Determine n so that p(n) = 0.
2, 6
Let h = 232 + -230. Let b(l) be the first derivative of -1 - 4*l - 2*l**h - 1/3*l**3. Factor b(y).
-(y + 2)**2
Let w be 4 + -9 - (3 - 2). Let g(f) = -2*f - 10. Let i be g(w). Let s**2 + 0*s**i + s**3 + 2*s**3 + s**4 + s**2 = 0. Calculate s.
-2, -1, 0
Let d(a) be the third derivative of a**5/15 - 7*a**4/2 - 92*a**3/3 + 16*a**2 + 3*a. Let d(m) = 0. Calculate m.
-2, 23
Let x be (-1)/5 - (-77)/35. Determine k so that 28*k**x - 13*k**2 - 10*k**2 - 10 - 5*k = 0.
-1, 2
Determine k, given that 5*k**3 - 6*k**2 - 47*k + 60 + 127*k + 41*k**2 = 0.
-3, -2
Suppose -9 = -91*d + 90*d. Factor -14*o**2 + d*o + 9*o**2 - 15 + 11*o.
-5*(o - 3)*(o - 1)
Let g be (-34)/8*(-126)/2142. Factor -5/2*i**2 + 9/4*i + 0 + g*i**3.
i*(i - 9)*(i - 1)/4
Let t = -703/2 + 352. Let s(r) be the third derivative of -3*r**3 + 0 - 1/30*r**5 + 2*r**2 + t*r**4 + 0*r. What is y in s(y) = 0?
3
Let p = -409/7 + 2059/35. Let p*t**4 - 4/15*t**2 - 2/15*t**5 - 2/15 + 2/5*t - 4/15*t**3 = 0. Calculate t.
-1, 1
Let f be (4/6)/(24/54). Suppose f*x - 1 - 1/2*x**2 = 0. What is x?
1, 2
Let i(t) be the third derivative of t**6/70 - t**5/15 + 5*t**4/42 - 2*t**3/21 - 27*t**2 + 3. Factor i(o).
4*(o - 1)**2*(3*o - 1)/7
Let t = -910 - -6372/7. Suppose t*x**2 + 2/7*x - 2/7*x**3 - 2/7 = 0. What is x?
-1, 1
Let f(y) = y + 15. Let i be f(-10). Factor 2*p**2 + p**2 - i*p - p.
3*p*(p - 2)
Let k(r) be the first derivative of -r**8/1008 - r**7/90 - r**6/20 - r**5/9 - r**4/9 + 5*r**2/2 + 16. Let n(w) be the second derivative of k(w). Factor n(u).
-u*(u + 1)*(u + 2)**3/3
Let g(q) = q**2 + 2*q - 1. Let r(k) = -9*k**2 - 42*k - 23. Let n(a) = -5*g(a) - r(a). Solve n(t) = 0.
-7, -1
Factor 2/5*x**3 + 4/5*x - 16/5 + 2*x**2.
2*(x - 1)*(x + 2)*(x + 4)/5
Let h(o) be the first derivative of 0*o**3 + 5/4*o**4 - 15 - 5/2*o**2 + 0*o. Factor h(i).
5*i*(i - 1)*(i + 1)
Let x(y) be the third derivative of -y**6/1080 - y**5/180 + y**4/24 + y**3 + 8*y**2. Let h(v) be the first derivative of x(v). Let h(z) = 0. What is z?
-3, 1
Let j be 6/((-75)/(-20)*4). Factor j*i + 1/5*i**2 + 0.
i*(i + 2)/5
Suppose -19*g + 24*g - 5*n - 15 = 0, 0 = -2*g - 2*n + 10. Factor -4/7*h**g + 48/7*h - 4/7*h**3 + 32/7*h**2 + 0.
-4*h*(h - 3)*(h + 2)**2/7
Let q be ((-42)/(-35))/((-3)/(-15)). Suppose q = -17*b + 20*b. Factor 1 + 3/2*c**3 - 3/2*c - 1/2*c**b - 1/2*c**4.
-(c - 2)*(c - 1)**2*(c + 1)/2
Let w = -5320 + 5323. Factor -4*a**2 + 4/3*a**4 - 4/3*a**w + 8/3 + 4/3*a.
4*(a - 2)*(a - 1)*(a + 1)**2/3
Let l(f) = 7*f + 5. Let z be l(1). Let 4*a + 2*a**2 - 4*a**2 + 2*a - 8*a + z = 0. Calculate a.
-3, 2
Let k(j) be the first derivative of -j**4/5 - 4*j**3/5 + 8*j**2/5 - 147. Factor k(c).
-4*c*(c - 1)*(c + 4)/5
Suppose -g - 1 + 3 = 0. Let k be ((20/42)/10)/(g/12). Determine q, given that k*q**2 - 4/7*q + 2/7 = 0.
1
Let f be (-1)/(-3 + 60/21). Suppose 6*a + 4 = f*a. Suppose -35*d + 15*d**4 + 2*d**3 + 33*d - 6*d**a - 9*d**2 = 0. What is d?
-1, -2/9, 0, 1
Let o = 1425 - 1425. Determine r, given that o - 195/4*r**3 - 21*r**2 - 75/2*r**4 - 3*r = 0.
-1/2, -2/5, 0
Let p be 12/(-10)*(-20)/8. Let b(y) be the first derivative of 8/5*y + 0*y**2 - 5 - 2/15*y**p. What is r in b(r) = 0?
-2, 2
Let v(p) = 2*p**3 - 26*p**2 + 52*p + 82. Let x(j) = -10*j**3 + 130*j**2 - 260*j - 411. Let f(l) = -11*v(l) - 2*x(l). Factor f(h).
-2*(h - 10)*(h - 4)*(h + 1)
Let k(y) be the third derivative of -y**5/30 + y**4/6 + 8*y**3/3 + 239*y**2. Factor k(n).
-2*(n - 4)*(n + 2)
Let k be (2272/(-781) - (-2)/(-22)) + -2 + 9. Factor -12/5 + 3/5*y**k - 2*y**3 - 41/5*y**2 - 8*y.
(y - 6)*(y + 1)**2*(3*y + 2)/5
Let l(k) be the second derivative of k**6/30 - 11*k**5/10 + 59*k**4/4 - 308*k**3/3 + 392*k**2 + 91*k. Factor l(u).
(u - 7)**2*(u - 4)**2
Let -1/7*o**5 + 6/7*o**4 + 0*o + 0 - 216/7*o**2 + 36/7*o**3 = 0. Calculate o.
-6, 0, 6
Factor -300*k**4 - 27 + 62*k + 296*k**2 - 983*k**2 - 296*k - 780*k**3.
-3*(k + 1)**2*(10*k + 3)**2
Let v = 120 + -116. Solve -73*m**2 - 124*m**2 - 48*m - v + 53*m**2 = 0 for m.
-1/6
Let r = -126/263 - -162775/1052. Let q = r - 153. Factor q*n + 1/2 + 3/4*n**2.
(n + 1)*(3*n + 2)/4
Let x(l) be the third derivative of -l**5/45 - 37*l**4/18 + 76*l**3/9 - 38*l**2. Factor x(f).
-4*(f - 1)*(f + 38)/3
Let p be (-5 - -5)*(-5)/(-15). Let r(y) be the second derivative of -1/6*y**4 + 5/12*y**3 + y + 1/40*y**5 + p - 1/2*y**2. Factor r(l).
(l - 2)*(l - 1)**2/2
Let q = 56519/94215 - -2/18843. Factor -1/5*h**2 + 2/5*h + q.
-(h - 3)*(h + 1)/5
Let h be 4/(-4 - -8) + -4. Let b be 10 + (-8 - (-1 + h)). Let 2*z + 0*z + 4*z**2 + b - 6 = 0. What is z?
-1/2, 0
Let g(r) be the third derivative of 11*r**6/60 + 46*r**5/3 + 1589*r**4/4 - 294*r**3 + 44*r**2. Factor g(t).
2*(t + 21)**2*(11*t - 2)
Let p(q) be the first derivative of -q**4/28 + 24*q**3 - 6048*q**2 + 677376*q - 176. Factor p(y).
-(y - 168)**3/7
Let x = 3/220 - -853/1980. Let t = 25/153 - -1/17. Factor 2/9 - 4/9*h**3 + x*h + 0*h**2 - t*h**4.
-2*(h - 1)*(h + 1)**3/9
Let k(i) = i**3 + 14*i**2 - 17*i - 30. Suppose 0*n + n = -4*r - 57, r - 2*n + 21 = 0. Let t be k(r). Factor 2/3*o**5 + 0*o**2 - 4/3*o**3 + t + 2/3*o + 0*o**4.
2*o*(o - 1)**2*(o + 1)**2/3
Solve -4*d**2 - 149*d - 668*d - 102400 + 370*d - 833*d = 0.
-160
Suppose 4*s + g + 134 = 0, 0 = 5*s + g + 4*g + 160. Let a be 10/(-85) - 106/s. Factor 51*d + 2*d**2 - 52*d - a*d**2 + 2*d**3.
d*(d - 1)*(2*d + 1)
Factor 43 - 51*a + 333 + 4*a**2 - 76 - 179*a - 74*a.
4*(a - 75)*(a - 1)
Let g(q) = -q**3 - 3*q**2 - 3*q + 3. Let h(w) be the third derivative of w**5/20 + w**4/8 - w**3/2 - 2*w**2. Let o(t) = -3*g(t) - 4*h(t). Factor o(d).
3*(d - 1)**2*(d + 1)
Factor 14/5 - 2/15*u**2 + 8/15*u.
-2*(u - 7)*(u + 3)/15
Let l(f) be the third derivative of -f**7/1155 + f**6/44 - 21*f**5/110 + 27*f**4/44 - 21*f**2. What is q in l(q) = 0?
0, 3, 9
Factor 22/7 - 2/7*o**2 - 20/7*o.
-2*(o - 1)*(o + 11)/7
Let h(n) = 2*n**2 - 40*n + 6. Let w be h(20). Let m(r) = r**3 - 7*r**2 + 4*r + 14. Let d be m(w). Factor 16/7*v**3 + 16/7*v**d + 0 + 4/7*v.
4*v*(2*v + 1)**2/7
Determine g so that 26 + 17 - 95*g - 3 - 15*g + 45*g**2 = 0.
4/9, 2
Let g(s) = s**2 + 4*s + 5. Let m be g(-4). Suppose -m*z - 4*f + 2 + 0 = 0, -3*f = 3*z. Factor -4*q**2 + 2*q**2 - z + 4 - 4 - 4*q.
-2*(q + 1)**2
Suppose 0 = -4*l + 3*q, 5*l + 0*q = 2*q + 7. Suppose 0 = -6*o + 3*o. Factor -4/3*j**l + 2/3*j**4 + o*j**2 - 2/3 + 4/3*j.
2*(j - 1)**3*(j + 1)/3
Let t(m) = 9*m**3 - 73*m**2 - 181*m - 99. Let s(c) = -6*c**3 + 49*c**2 + 121*c + 66. Let i(z) = -8*s(z) - 5*t(z). Solve i(q) = 0 for q.
-1, 11
Let v be ((-2100)/45)/7 + 11. What is w in -13/3*w**3 + 11/3*w**2 - 2 - 5/3*w**4 + v*w = 0?
-3, -1, 2/5, 1
Factor 0*z**2 - 33/2*z**4 + 0*z + 0 + 6*z**5 - 9/2*z**3.
3*z**3*(z - 3)*(4*z + 1)/2
Let y = 22 - 9. Suppose y = 4*c - 3. Determine l, given that -88*l**c - 112*l**2 + 236*l**3 + 16*l - 18*l**4 - 34*l**4 = 0.
0, 2/7, 2/5, 1
Solve -40 + 74*h**3 + 624*h**2 + 1402*h + 487*h + 976*h + 1064 + 3*h**4 - 945*h = 0 for h.
-8, -2/3
Let -2/9*q**3 - 4/9*q**2 + 16/9 + 8/9*q = 0. Calculate q.
-2, 2
Factor 8*i**2 - 12 + 23*i**2 + 9*i**4 - 8*i + 0*i**2 - i - 51*i**3 + 32*i**2.
3*(i - 4)*(i - 1)**2*(3*i + 1)
Let m(q) = -100*q**2 + 155*q. Let a(r) = 13*r**2 - 4*r**2 + 97*r - 111*r. Let s(v) = 45*a(v) + 4*m(v). Determine n, given that s(n) = 0.
0, 2
Let n be (-1650)/(-135) + -10 + 4/(-18). Factor -2*g**n - 6/5*g + 4/5.
-2*(g + 1)*(5*g - 2)/5
Let w(l) be the second derivative of 0 + 2*l**2 + 0*l**4 + 35*l - 1/10*l**5 + l**3. Factor w(a).
-2*(a - 2)*(a + 1)**2
Let y be 246/(-410) + (1 - 64/10). Let g be (1 + 9/(-6))*y. Factor -3/2 + 3/2*t**2 + 3/4*t - 3