 d(o).
4*o*(o - 1)*(o + 2)*(o + 3)
Let i(q) be the first derivative of -4*q**3/3 - 336*q**2 - 28224*q - 256. Factor i(u).
-4*(u + 84)**2
Let p = -120 + 124. Suppose -5*a + 0*a + 23 = p*c, -4*c - 7 = -5*a. What is s in 6/5*s**a + 0*s + 6/5*s**4 + 2/5*s**5 + 2/5*s**2 + 0 = 0?
-1, 0
Determine j so that 0*j + 2/7*j**4 + 0 - 22/7*j**3 + 20/7*j**2 = 0.
0, 1, 10
Let c(o) be the third derivative of o**7/315 - o**5/45 + o**3/9 + 68*o**2. What is l in c(l) = 0?
-1, 1
Let x(w) be the first derivative of -28*w**3/27 - 38*w**2/9 - 16*w/3 + 764. Determine n, given that x(n) = 0.
-12/7, -1
Let x(o) = 7*o**2 + 5*o + o**3 - 5*o**2 + 4*o**2. Let m(f) = -f**2 - f. Let k(h) = 6*m(h) + 2*x(h). What is z in k(z) = 0?
-2, -1, 0
Suppose 5*n = 5, 3*o - 3*n - 2*n + 5 = 0. Suppose 2*w = 3*w - o*w. Factor -2/7*r**4 + 4/7*r**2 + 0*r - 2/7 + w*r**3.
-2*(r - 1)**2*(r + 1)**2/7
Let p(r) be the first derivative of 0*r - 1/3*r**2 + 1/6*r**4 + 2/15*r**5 - 19 - 2/9*r**3. Factor p(s).
2*s*(s - 1)*(s + 1)**2/3
Factor 0 + 3/4*x**3 + 3/2*x**2 - 6*x.
3*x*(x - 2)*(x + 4)/4
Find r, given that 21/8*r**2 + 87/8*r**4 - 75/8*r**3 + 0*r + 0 - 33/8*r**5 = 0.
0, 7/11, 1
Let a(o) be the third derivative of o**7/105 - 3*o**6/20 + 4*o**5/5 - 5*o**4/3 + 7*o**2 + 4*o. Factor a(b).
2*b*(b - 5)*(b - 2)**2
Let s be 2279/212 - (10 - 0). Let r(p) be the first derivative of -s*p**4 - 2*p - 8/3*p**3 - 11 - 7/2*p**2. Determine m, given that r(m) = 0.
-1, -2/3
Let a(l) be the first derivative of 0*l**3 + 25 + 1/8*l**4 + 1/2*l**5 + 0*l + 0*l**2 - 1/2*l**6. Factor a(k).
-k**3*(k - 1)*(6*k + 1)/2
Let r be 0/(-1) + 32/5. Let f be (-56)/868 + 504/124. Let 224/5*m + 10*m**5 + 58*m**f + r + 608/5*m**3 + 112*m**2 = 0. What is m?
-2, -1, -2/5
Let s = -21 - -26. Let g(b) be the second derivative of -11/45*b**6 - 7/15*b**s + 2*b - 1/3*b**2 + 4/21*b**7 + 2/9*b**3 + 0 + 2/3*b**4. Let g(w) = 0. What is w?
-1, -1/3, 1/4, 1
Let d(n) = 10*n**3 - 14*n**2 + 198*n + 792. Let i(f) = 2*f**3 - 2*f**2 + f. Let p(s) = -d(s) + 6*i(s). Find h, given that p(h) = 0.
-6, 11
Let g(h) = 8*h**4 - 12*h**3 - 25*h**2 + 35. Let f(z) = 11*z**4 - 13*z**3 - 26*z**2 + 36. Let v(q) = -3*f(q) + 4*g(q). Factor v(w).
-(w - 1)*(w + 2)*(w + 4)**2
Let v(p) be the second derivative of 58*p**5/35 + 257*p**4/42 + 7*p**3/3 - 2*p**2/7 + 3*p - 29. Find q, given that v(q) = 0.
-2, -1/4, 1/29
Factor 0 - 10/7*a**2 + 11/7*a - 1/7*a**3.
-a*(a - 1)*(a + 11)/7
Let o(k) be the first derivative of -k**4/24 + k**3/6 - 59. Let o(b) = 0. Calculate b.
0, 3
Let p(b) = -b**5 + 21*b**4 + 65*b**3 + 51*b**2 + 2*b - 6. Let w(y) = -y**5 - 2*y**4 - y**3 + y + 1. Let q(j) = p(j) - 6*w(j). Find l, given that q(l) = 0.
-3, -2, -1, 2/5
Let v be 0 - 0*(-1)/(-5). Let h(c) be the first derivative of v*c - 7/12*c**4 + 1/3*c**2 + 1/3*c**3 + 5/18*c**6 - 1/5*c**5 - 2. Let h(d) = 0. Calculate d.
-1, -2/5, 0, 1
Let n(o) = -2*o**2 - 10*o - 10. Let b(a) = -a**2 - 5*a - 6. Let c(p) = -7*b(p) + 4*n(p). Let u be c(-5). Factor -1/5*g**3 + 0 + 0*g + 2/5*g**u.
-g**2*(g - 2)/5
Let q(a) = 2*a**3 - 8*a**2 - 13*a. Let l(m) = -4*m**3 + 18*m**2 + 27*m. Let o(y) = 3*l(y) + 5*q(y). Determine k so that o(k) = 0.
-1, 0, 8
Let f be (-5 + -1)/(-3) + -4 + 2. Suppose 3*m + m = f. Factor 3*d + 3/2*d**4 - 3*d**3 + m*d**2 - 3/2.
3*(d - 1)**3*(d + 1)/2
Let v = 878/23 + -18392/483. Factor 4/21*y**2 + 0 - v*y - 2/21*y**3.
-2*y*(y - 1)**2/21
Suppose 0 = 111*t + 140*t + 71*t - 1288. Factor 14/11 + 48/11*s**2 - 20/11*s**3 - 4*s + 2/11*s**t.
2*(s - 7)*(s - 1)**3/11
Let v(s) = 400*s - 5200. Let w be v(13). Factor -1/4*p**2 - 13/4*p + w.
-p*(p + 13)/4
Let i be 525/(-49) - (12 - 23). Factor -10/7*u**2 - 16/7*u - i*u**3 - 8/7.
-2*(u + 1)*(u + 2)**2/7
Let t be (-3)/(10/(-24) + 40/(-120)). Let k(w) be the third derivative of 0 + 3*w**2 + 0*w - 1/32*w**t + 0*w**3 - 1/80*w**5. Solve k(l) = 0.
-1, 0
Let m(x) be the third derivative of -x**6/120 - x**5/5 - 3*x**4/8 + 11*x**3/3 - 176*x**2. What is n in m(n) = 0?
-11, -2, 1
Let w be (2 + (-20)/12)*24. Suppose 0 = j + 6 - w. What is g in 98*g**j + g**5 - 98*g**2 = 0?
0
Suppose 0 = 3*j + 211 - 199. Let l be (-13)/(-2) + -2 + (-2)/j. Factor 10/3*w**3 - 4/3*w**2 - 8/3*w**4 + 0*w + 0 + 2/3*w**l.
2*w**2*(w - 2)*(w - 1)**2/3
Let j(h) = 5*h**5 + 2*h**4 - 3*h**3 - 8*h**2. Let q(m) = -11*m**5 - 4*m**4 + 6*m**3 + 16*m**2 - m. Let u(d) = 9*j(d) + 4*q(d). Suppose u(f) = 0. What is f?
-2, -1, 0, 2
Let i(x) be the third derivative of x**8/336 + 4*x**7/315 - 4*x**6/45 - 4*x**5/5 - 22*x**4/9 - 32*x**3/9 - 7*x**2 + x. Suppose i(z) = 0. What is z?
-2, -2/3, 4
Let j(v) be the second derivative of -v**5/270 - v**4/36 - 2*v**3/27 + 8*v**2 + 11*v. Let p(b) be the first derivative of j(b). Factor p(g).
-2*(g + 1)*(g + 2)/9
Let d = 1316 + -1312. Let i(k) be the third derivative of 0*k - 1/4*k**d - k**2 - 2/3*k**3 - 1/30*k**5 + 0. Factor i(g).
-2*(g + 1)*(g + 2)
Let u(a) be the first derivative of 4*a**5/35 + 3*a**4/7 + 8*a**3/21 - 70. Factor u(x).
4*x**2*(x + 1)*(x + 2)/7
Let v be (((-16)/18)/(-2))/((-72)/(-648)). Let x(a) be the first derivative of 0*a + 0*a**2 - 3/20*a**5 + 3/8*a**v - 3 - 1/4*a**3. Factor x(t).
-3*t**2*(t - 1)**2/4
Suppose 14*t - 7*t = 21. Solve -5*x**2 - t*x**3 + 4*x**5 + x - 3*x**5 - 4*x + x**4 + x = 0.
-1, 0, 2
Let y(b) be the second derivative of 2*b**5/15 + 29*b**4/18 - 25*b**3/9 - 8*b**2/3 - 19*b - 2. Factor y(f).
2*(f - 1)*(f + 8)*(4*f + 1)/3
Let q = -27215 - -81649/3. Solve q*w**3 + 2*w**4 + 0*w - 6*w**2 + 8/3 = 0.
-2, -2/3, 1
Let o be (-2 + -1)*(-4 + 140/63). Suppose -2/3*m**3 - 4*m**2 - 8*m - o = 0. What is m?
-2
Let o be -2*6/30 + 104/10. Suppose o*q = 21 + 19. Factor -2/3*n**3 - 2/3*n**q + 2/3*n**2 + 0 + 2/3*n.
-2*n*(n - 1)*(n + 1)**2/3
Let f(d) = -d**2 + 10*d - 5. Suppose -2*w + 3*j + 18 = 0, -2*j = 2*w - 3*j - 18. Let v be f(w). Factor 9/4*p**v + 1/4*p**2 + 0 + 0*p - 3/2*p**3 - p**5.
-p**2*(p - 1)**2*(4*p - 1)/4
Let s be 186/527*(-15)/2 - -3. Solve -10/17*y**3 - s*y - 2/17 + 18/17*y**2 = 0.
-1/5, 1
Let a(r) be the third derivative of r**5/15 - 7*r**4/3 + 98*r**3/3 + r**2 - 18*r. Factor a(o).
4*(o - 7)**2
Let h(s) be the first derivative of s**4/2 - 34*s**3/3 - 37*s**2 - 38*s - 136. Factor h(o).
2*(o - 19)*(o + 1)**2
Let a(h) be the first derivative of -h**4/4 - h**3/2 - 14*h + 6. Let i(q) be the first derivative of a(q). Find b such that i(b) = 0.
-1, 0
Let t(g) be the first derivative of g**5/12 + 5*g**4/12 - 11*g**2/2 - 3. Let v(s) be the second derivative of t(s). Let v(h) = 0. What is h?
-2, 0
Let w(l) be the second derivative of -l**4/30 + 34*l**3/15 - 289*l**2/5 - 3*l + 11. Factor w(x).
-2*(x - 17)**2/5
Suppose 67*t - 68*t = -8. Let s be (t - 4) + -6 + 2 + 0. Let 0*i - 6/7*i**2 + 9/7*i**3 + s = 0. Calculate i.
0, 2/3
Let a be 4/58 + (64/224 - (-360)/(-1015)). Factor i**2 + 0*i - 1/2*i**4 + a*i**3 - 1/2.
-(i - 1)**2*(i + 1)**2/2
Let k(p) be the second derivative of p**10/60480 - p**8/6720 + p**6/1440 + 3*p**4/2 + 15*p. Let i(l) be the third derivative of k(l). Factor i(d).
d*(d - 1)**2*(d + 1)**2/2
Let u = 32/3 - 10. Let t be 3 + -3 + (1 - -1). Suppose 0 + 2/3*w**5 + 0*w + 4/3*w**4 + u*w**3 + 0*w**t = 0. Calculate w.
-1, 0
Factor -2/5*w**4 + 28/5*w**3 + 0*w**2 + 0 + 0*w.
-2*w**3*(w - 14)/5
Let q(i) be the first derivative of -i**3/2 - 45*i**2/2 - 675*i/2 - 5. Factor q(t).
-3*(t + 15)**2/2
Let x(h) be the second derivative of -h**9/192 - h**8/112 - h**7/280 - 11*h**3/3 - 2*h. Let y(g) be the second derivative of x(g). Solve y(a) = 0 for a.
-2/3, -2/7, 0
Let z(b) be the third derivative of 21*b**2 + 0*b + 1/12*b**4 + 0 + 1/60*b**5 + 1/6*b**3. Suppose z(i) = 0. Calculate i.
-1
Factor -2/5*y + 2/5*y**3 + 0*y**2 + 0.
2*y*(y - 1)*(y + 1)/5
Let y(u) = -u**3 + 31*u**2 - 29*u - 22. Let a be y(30). Let g be 1/a*(-29 - -33). Factor 0 - g*c - 1/4*c**2.
-c*(c + 2)/4
Let m(y) be the third derivative of y**6/24 + 2*y**5/3 + 35*y**4/24 - 2*y**2 - 29. Factor m(z).
5*z*(z + 1)*(z + 7)
Factor 3/5*o**3 + 7/5*o + 8/5*o**2 + 2/5.
(o + 1)**2*(3*o + 2)/5
Let y(i) = i**3 + 8*i**2 - i - 3. Let n be y(-8). Suppose 0 = -34*h - 22*h + 42*h. Factor 4/11*z**3 + 0*z + h*z**2 - 2/11*z**4 - 2/11*z**n + 0.
-2*z**3*(z - 1)*(z + 2)/11
Let g(o) be the first derivative of -o**6/12 - 2*o**5/5 + 3*o**4/4 + 8*o**3/3 - 29*o**2/4 + 6*o - 726. Factor g(x).
-(x - 1)**3*(x + 3)*(x + 4)/2
Let x = -3/2 - -2. Suppose