that 0 + 0*d + 4/5*d**3 - 4/5*d**2 + o*d**4 - 4/5*d**5 = 0.
-1, 0, 1
Let n(u) be the third derivative of 0*u - 5*u**4 + 8/3*u**3 + 0 - 23*u**2 + 21/5*u**5 - 49/60*u**6. Factor n(w).
-2*(w - 2)*(7*w - 2)**2
Let n = -728 - -177635/244. Let h = 515/2196 - n. Let 0*c + h*c**2 - 2/9 = 0. Calculate c.
-1, 1
Let z(v) = 4*v + 124. Let j be z(-30). Let m(w) be the third derivative of 0*w - w**j - 11*w**2 + 6*w**3 + 0 + 1/15*w**5. Factor m(g).
4*(g - 3)**2
Factor -729/7 - 54/7*w - 1/7*w**2.
-(w + 27)**2/7
Let j(z) be the first derivative of -z**4/4 - z**3/3 + 5*z**2/2 - 3*z - 634. Determine s, given that j(s) = 0.
-3, 1
Let n(l) be the first derivative of 5*l**4/12 - 52*l**3/9 - 35*l**2/6 + 22*l/3 + 57. Suppose n(m) = 0. Calculate m.
-1, 2/5, 11
Factor -975/2*w - 288*w**2 - 507/2 - 54*w**3.
-3*(w + 1)*(6*w + 13)**2/2
Let t be (4/(-12))/((-4)/24). Let p = -5 + 7. Let v - v**t - v + 3*v**p = 0. Calculate v.
0
Let o = 978 + -975. Suppose 2/15*k**4 + 2/15*k**o - 2/15*k**5 - 2/15*k**2 + 0 + 0*k = 0. What is k?
-1, 0, 1
Let c(r) = r**3 + 4*r**2 + r - 3. Let g be c(-3). Factor -14*d**2 + 4*d + 19*d**2 + 5*d**5 - 4*d + 15*d**g + 15*d**4.
5*d**2*(d + 1)**3
Let n be (35/(-5))/(-7) - -23. Suppose 3*b + 9 = n. Factor 2/9*a**b + 0 + 0*a**2 + 0*a + 4/9*a**3 + 2/3*a**4.
2*a**3*(a + 1)*(a + 2)/9
Let b = 6 + -4. Let i be 2*4/52 - (-48)/26. Factor -b*s**i + 0*s - 3*s + s.
-2*s*(s + 1)
Let u(c) be the first derivative of 5/2*c**2 + 10 - 2*c + c**3. Let u(r) = 0. Calculate r.
-2, 1/3
Let r = 35379/2 + -17670. Factor 21/2 + r*p - 3*p**2.
-3*(p - 7)*(2*p + 1)/2
Let b(t) be the first derivative of -3*t**5/10 - 39*t**4/8 + t**3/2 + 39*t**2/4 - 45. Find y such that b(y) = 0.
-13, -1, 0, 1
Suppose 5*w - 66 = 3*w. Suppose 3 + 21*p**2 - w*p + 6 + 1 + 5 - 3*p**3 = 0. Calculate p.
1, 5
Find d such that -3/8*d**4 + 25*d**3 + 1056*d - 897/2*d**2 - 512 = 0.
2/3, 2, 32
Let w(x) be the third derivative of 0*x**3 + 7/20*x**6 - 29*x**2 - 11/30*x**5 + 0*x - 3/35*x**7 + 0 - 1/168*x**8 + 0*x**4. Factor w(g).
-2*g**2*(g - 1)**2*(g + 11)
Let o(u) be the second derivative of u**7/21 - u**6/15 + u**5/40 + 320*u. Factor o(i).
i**3*(2*i - 1)**2/2
Let i(q) be the second derivative of q**7/350 - q**6/50 + q**5/25 + 10*q**2 + 13*q. Let w(d) be the first derivative of i(d). Let w(n) = 0. What is n?
0, 2
Let d(h) be the third derivative of h**8/560 - h**7/42 + 47*h**6/600 - 31*h**5/300 + h**4/20 - 124*h**2. Solve d(j) = 0.
0, 1/3, 1, 6
Let i(l) = -8*l - 1. Let k be i(-4). Suppose -w = -3*y - 6*w + k, -w = -y - 3. Determine n, given that y*n**2 - 22 + 23 - 3*n**2 = 0.
-1, 1
Let z(p) be the third derivative of -p**7/980 - p**6/420 + p**5/70 - 9*p**3/2 + 34*p**2. Let h(v) be the first derivative of z(v). Factor h(m).
-6*m*(m - 1)*(m + 2)/7
Let f(o) be the second derivative of -o**3/6 - 5*o**2 + 67*o. Let c be f(-13). Factor 0 + 3*n**2 + 18/5*n**c - 3/5*n.
3*n*(n + 1)*(6*n - 1)/5
Let b(g) = 228*g**4 + 696*g**3 + 702*g**2 + 240*g + 10. Let s(w) = 683*w**4 + 2089*w**3 + 2106*w**2 + 719*w + 33. Let i(m) = 7*b(m) - 2*s(m). Factor i(t).
2*(t + 1)**3*(115*t + 2)
Factor 779*g**2 - 806*g**2 - 9*g**4 - 3*g**5 - 12*g**4 + 51*g**3.
-3*g**2*(g - 1)**2*(g + 9)
Let k(f) = -f**3 + 17*f**2 - 13*f + 21. Let w(y) = y**2 + y + 2. Let d(n) = k(n) - 6*w(n). Factor d(l).
-(l - 9)*(l - 1)**2
Let j be 12/18 + 136/(-6) + -3. Let t be (-40)/(j/5) - 5. Let -6*m - 28/3*m**t - 4*m**4 - 4/3 - 2/3*m**5 - 32/3*m**2 = 0. What is m?
-2, -1
Let u(t) = 8*t**3 + 22*t**2 - 23*t - 90. Let r(z) = -z**3 - 2*z**2 - 2*z. Let l(o) = -5*r(o) - u(o). Factor l(h).
-3*(h - 3)*(h + 2)*(h + 5)
Let p(l) be the second derivative of 2*l**7/21 - 2*l**5/5 + 2*l**3/3 + 199*l. Factor p(a).
4*a*(a - 1)**2*(a + 1)**2
Let m(o) be the second derivative of o**7/735 + o**6/210 - 3*o**2 + 3*o. Let b(a) be the first derivative of m(a). Factor b(c).
2*c**3*(c + 2)/7
Let j(o) be the second derivative of 3/32*o**4 - 3/160*o**5 + 0 + 12*o + 0*o**2 - 1/8*o**3. Factor j(v).
-3*v*(v - 2)*(v - 1)/8
Let c(r) be the second derivative of r**4/12 - r**3/6 + 17*r. Let t(q) = -q**3 - 2*q**2 + 3*q. Let m(d) = -4*c(d) - t(d). Solve m(s) = 0 for s.
0, 1
Let t = 49 - 63. Let p be 56/66 - t/(-21). Suppose 0 - 2/11*a**3 + 0*a + p*a**2 = 0. Calculate a.
0, 1
Factor 19/5*r - 6/5*r**2 + 24/5 - 1/5*r**3.
-(r - 3)*(r + 1)*(r + 8)/5
Suppose -23*g + 107 + 8 = 0. Let l(q) be the third derivative of 0*q - 1/60*q**g - 2/3*q**3 + 0 - 1/6*q**4 - 4*q**2. Find w, given that l(w) = 0.
-2
Let q(k) be the third derivative of -k**7/420 + k**6/24 + k**5/40 - 2*k**4/3 + 5*k**3/3 + 479*k**2. Determine x so that q(x) = 0.
-2, 1, 10
Let f(x) be the second derivative of -x**5/80 - 3*x**4/16 + 52*x. Factor f(j).
-j**2*(j + 9)/4
Let g be (-64)/(-34) + (-394)/(-3349). Factor -2/3 - 2*n + 4/3*n**3 + g*n**4 - 4/3*n**2 + 2/3*n**5.
2*(n - 1)*(n + 1)**4/3
Let x(k) = -164*k**3 - 4250*k**2 + 3142*k + 1261. Let o(t) = 33*t**3 + 850*t**2 - 629*t - 252. Let y(w) = -11*o(w) - 2*x(w). Find b such that y(b) = 0.
-25, -2/7, 1
Let n = -184479/4 + 46121. Factor -n*a + 1/2 + 1/4*a**5 + a**3 + 1/2*a**2 - a**4.
(a - 2)*(a - 1)**3*(a + 1)/4
Let u(v) be the third derivative of -v**7/210 + 7*v**5/60 + v**4/4 + 97*v**2 + v. Suppose u(c) = 0. Calculate c.
-2, -1, 0, 3
Factor -5*h**2 - 190/3 - 295/3*h.
-5*(h + 19)*(3*h + 2)/3
Let o(v) be the third derivative of 0*v + 0 - 41*v**2 - 1/4*v**5 + 4*v**4 - 6*v**3. Solve o(j) = 0.
2/5, 6
Factor -2/5*q**2 + 0 - 4/5*q.
-2*q*(q + 2)/5
Let o(x) = 24*x + 8 + 2*x**2 - 3 + x**2. Let i be o(-8). Determine m so that 0 + 1/2*m**i - 9/8*m**4 - 1/4*m**3 - 1/4*m + 9/8*m**2 = 0.
-1, 0, 1/4, 1, 2
Let v = 25/23 + 109/69. What is g in v + 2/3*g**2 - 8/3*g = 0?
2
Let p = -302 + 305. Let x = 27/70 - 1/10. Factor -2/7*q**2 + 0 - x*q**p + 0*q.
-2*q**2*(q + 1)/7
Let o(z) be the third derivative of 0*z**4 + 2/245*z**7 + 0*z**3 + 29*z**2 + 0*z**5 + 0*z + 0 - 3/392*z**8 - 1/420*z**6. Suppose o(r) = 0. What is r?
0, 1/3
Let m(h) = 16*h + 165. Let a be m(-10). Suppose d - 5*d + 8 = 0. Determine j so that 0*j**4 - 1/2*j**3 + 0*j + 0*j**d + 0 + 1/2*j**a = 0.
-1, 0, 1
Let z(l) = 36*l**2 + 11*l - 13*l - 14*l + 5. Let v(n) = -108*n**2 + 47*n - 14. Let g(x) = 4*v(x) + 11*z(x). Let g(k) = 0. What is k?
1/6
Let j(r) be the first derivative of r**7/2520 + r**6/360 + r**5/180 + r**3/3 - 6. Let s(b) be the third derivative of j(b). Factor s(g).
g*(g + 1)*(g + 2)/3
Suppose 2*h + 9 + 1 = 0. Let k = h + 9. Factor 6*l + 6*l**4 + 8 - 3*l**k - 6*l**3 - 6 - 12*l**2 + 7.
3*(l - 3)*(l - 1)*(l + 1)**2
Suppose -90*k + 86*k = -20. Let y(c) be the second derivative of 4*c + 3/20*c**k + 0*c**4 + 0 + 0*c**3 + 0*c**2. Solve y(l) = 0.
0
Let s = -15927/4 - -4176. Suppose 2*i + 13 = r - 3*i, 5*r - 13 = -i. Let -15*q - 147*q**5 - 213/2*q**2 + 1023/4*q**r + s*q**4 + 6 = 0. Calculate q.
-1, -1/4, 2/7, 2
Let h = 863/2344 - -2/293. Find i, given that h*i - 3/8*i**2 + 0 = 0.
0, 1
Factor -1/4*z**2 + 5/2*z - 21/4.
-(z - 7)*(z - 3)/4
Suppose 0 = -0*n - n - 20. Let s be n/(-6) - 1/3. Determine c so that 2*c - 15*c**3 + 11*c**3 - 7*c**2 + 10*c**s = 0.
0, 1/2, 2/3
Let p(l) be the first derivative of -l**4/7 + 18*l**2/7 - 93. Let p(j) = 0. Calculate j.
-3, 0, 3
Let d(f) be the third derivative of f**7/315 - f**6/18 + 13*f**5/90 + 5*f**4/3 + 4*f**3 + 37*f**2 - 1. Suppose d(j) = 0. Calculate j.
-1, 6
Let s = 271 + -269. Let v(c) be the third derivative of 0*c - 1/90*c**5 - 1/12*c**4 + 0 - 9*c**s - 2/9*c**3. Find n, given that v(n) = 0.
-2, -1
Find w such that 4/5*w + 2/15*w**2 - 14/15 = 0.
-7, 1
Suppose -54 + 2 = -31*a + 103. Find o such that 10/7 + 68/7*o**2 + 18/7*o**4 - 2/7*o**a - 6*o - 52/7*o**3 = 0.
1, 5
Let g(b) be the second derivative of -b**7/378 - b**6/45 - b**5/15 - 2*b**4/27 + 185*b. Find o such that g(o) = 0.
-2, 0
Let 25*a - 25*a**3 + 8 - 15*a**2 - 6*a**4 + a**4 + 12 + 0*a = 0. What is a?
-4, -1, 1
Suppose -9*h - 29 = 259. Let o be (9/(252/h))/(-4 + 2). Find t such that 8/7*t**3 - 4/7*t**4 + 0*t**2 - 8/7*t + o = 0.
-1, 1
Let n(a) be the third derivative of a**6/140 - 22*a**5/105 + 9*a**4/28 + 2*a**3/3 + 3*a**2 - 7. Find c such that n(c) = 0.
-1/3, 1, 14
Factor 72*f**2 + 76 + 32509*f + 120 - 32299*f + 8*f**3.
2*(f + 2)*(2*f + 7)**2
Let k(u) be the third derivative of -u**7/315 - u**6/20 + u**2 + 67. Let k(w) = 0. What is w?
-9, 0
Factor 0*x - 3/4*x**4