**2*(y + 2)*(3*y + 2)
Let q(n) = 4*n**3 + 3*n**2 + 1. Let k be (-1 - (-3)/(-3)) + -2. Let r(y) = -3*y**3 - 3*y**2. Let m(f) = k*q(f) - 5*r(f). Factor m(g).
-(g - 2)**2*(g + 1)
Let c(v) be the third derivative of -v**7/1155 + v**6/660 - 2*v**2 + 42. Find p such that c(p) = 0.
0, 1
Suppose 125 = -8*z + 453. Let p = z + -41. Solve 0*v**2 + p*v - 2/3*v**3 + 0 = 0.
0
Let d(k) be the third derivative of -k**6/240 - k**5/120 - 18*k**2. Factor d(o).
-o**2*(o + 1)/2
Let d = 8 - 6. Suppose 5*l - 5 - 16 = -y, 3*l - d*y - 10 = 0. Factor -2/11*n**l - 2/11*n + 2/11*n**2 + 2/11*n**3 + 0.
-2*n*(n - 1)**2*(n + 1)/11
Let j be (70/210 + (-23)/42)*-2. What is s in 0 + 3/7*s**5 + 0*s**3 + 6/7*s**2 - j*s - 6/7*s**4 = 0?
-1, 0, 1
Factor -6/5*v**2 - 48/5*v + 2/5*v**3 - 56/5.
2*(v - 7)*(v + 2)**2/5
Let j(r) be the first derivative of -r**6/2 + 13*r**5/4 + 5*r**4/3 - 70*r**3/3 - 40*r**2 + 20*r + 27. Let q(g) be the first derivative of j(g). Solve q(c) = 0.
-1, -2/3, 2, 4
Let f(w) = 1. Let c(u) be the third derivative of u**5/12 - 5*u**4/12 - u**3 - 12*u**2. Let n(g) = -c(g) - 6*f(g). Find d, given that n(d) = 0.
0, 2
Let i = 66 + -67. Let h be i - (-7 - -5) - -1. Suppose 2/3 - 14/3*y**h - 8/3*y**3 - 4/3*y = 0. What is y?
-1, 1/4
Factor -22*u**2 + 1 + 14*u**2 - u + 10*u**2 - 1 - u**3.
-u*(u - 1)**2
Suppose 8*x - 20 = 3*x. Let j = x + -2. Factor -14 - 4 - 12*p - 8*p**j + 6*p**2.
-2*(p + 3)**2
Let s(i) be the third derivative of 0 + 5*i**4 - 3/4*i**5 + 1/24*i**6 + 0*i - 50/3*i**3 - i**2. Suppose s(p) = 0. Calculate p.
2, 5
Let g(y) be the first derivative of 8/3*y**3 + 0*y**2 + 0*y - y**4 + 17. Suppose g(t) = 0. What is t?
0, 2
Let y(n) be the second derivative of n**7/210 + n**6/120 - n**5/30 + 4*n**2 - 14*n. Let m(l) be the first derivative of y(l). Determine s so that m(s) = 0.
-2, 0, 1
Let f = 31/126 - 4/21. Let v(g) be the third derivative of 1/360*g**6 - f*g**3 - 2*g**2 + 0*g + 0 + 1/180*g**5 - 1/72*g**4. Find m such that v(m) = 0.
-1, 1
Let a(g) be the second derivative of g**7/42 - 4*g**6/15 - 3*g**5/2 - 8*g**4/3 - 11*g**3/6 + 6*g - 13. Solve a(z) = 0 for z.
-1, 0, 11
Let o(v) be the first derivative of -3*v + 9/4*v**2 - 1/2*v**3 + 21. Factor o(m).
-3*(m - 2)*(m - 1)/2
Let 15*z**3 - 5*z**5 + 50*z**2 + 2*z**4 - 2*z**4 + 5*z**2 - 9*z**4 + 30*z - 6*z**4 = 0. Calculate z.
-3, -1, 0, 2
Let l(m) be the third derivative of -17*m**5/240 - 19*m**4/96 - m**3/12 + 34*m**2 - 3. Determine s so that l(s) = 0.
-1, -2/17
Let m be 4/(-2 + (-18)/(-8)). Let r be ((-52)/(-18) + -3)*(4 - m). Factor 2/3 + r*y**3 - 5/3*y**2 - 7/3*y.
(y - 2)*(y + 1)*(4*y - 1)/3
Suppose -4*l - 5*a = 17, -4*a - 17 = 5*l - 7. Let j(y) be the third derivative of 1/20*y**5 + 1/8*y**4 - 4*y**l + 0*y**3 + 0 + 0*y. Factor j(n).
3*n*(n + 1)
Factor 222/5*s - 44 - 2/5*s**2.
-2*(s - 110)*(s - 1)/5
Let p(v) be the second derivative of v**6/40 - v**5/10 - v**4/8 + v**3 - 47*v**2/2 - 13*v. Let l(s) be the first derivative of p(s). Factor l(t).
3*(t - 2)*(t - 1)*(t + 1)
Let f = 24597/4 + -6149. Solve -1/4*v + 3/4*v**2 - 3/4*v**3 + f*v**4 + 0 = 0.
0, 1
Let s = -5474 - -5474. Factor s - 2/3*h**4 + 0*h**3 + 2*h**2 + 4/3*h.
-2*h*(h - 2)*(h + 1)**2/3
Let r(a) = a**2 - 6*a - 25. Let s be r(9). Let c(t) = 27*t**2 - 42*t + 18. Let j(i) = 109*i**2 - 169*i + 73. Let m(l) = s*j(l) - 9*c(l). Factor m(h).
-(5*h - 4)**2
Let h(t) be the third derivative of -t**8/4200 - t**7/2100 + 6*t**3 - 22*t**2. Let i(p) be the first derivative of h(p). Factor i(u).
-2*u**3*(u + 1)/5
Let b(r) be the second derivative of -r**5/20 - 5*r**4/6 + 11*r**3/6 + r**2 - 26*r. Let c be b(-11). Determine f, given that -8/3 - 16/3*f - c*f**2 = 0.
-2, -2/3
Suppose 11*x = 4*x + 35. Suppose -3*z + 9 = p + p, 0 = -x*p + 4*z + 11. Factor 2*l**4 + 36*l**2 + 4*l**5 + 14*l**4 + 4*l - 20*l**2 + 24*l**p.
4*l*(l + 1)**4
Suppose 3*a = -g + 6, 12*g = 11*g - 2*a + 4. Let s(z) be the first derivative of g*z - 1/5*z**5 + 5/16*z**4 + 6 - 1/12*z**3 + 0*z**2. Solve s(k) = 0 for k.
0, 1/4, 1
Factor -24*t**4 - 8*t**2 + 0*t - 77*t**3 + 35*t**4 + 4*t + 24*t**4 + 10*t**3.
t*(t - 2)*(5*t - 1)*(7*t + 2)
Let t = 1605/7 - 20823/91. Let 8/13*x - 2/13*x**2 - t = 0. Calculate x.
1, 3
Let h(b) be the second derivative of -b**5/50 - b**4/5 - 119*b. Factor h(d).
-2*d**2*(d + 6)/5
Let j be -4*9/(-108) + -3 + 28/6. Suppose 1/4 + 9/8*c + 3/8*c**3 + 5/4*c**j = 0. What is c?
-2, -1, -1/3
Let f(m) = -15*m - 91. Let x be f(-6). Let p be (-76)/(-168) + x + 15/18. Factor -10/7*w**5 + p*w**2 - 18/7*w**3 + 0 - 26/7*w**4 + 4/7*w.
-2*w*(w + 1)**3*(5*w - 2)/7
Let f(y) be the third derivative of -y**11/443520 + y**10/67200 - y**9/40320 + 3*y**5/10 - 2*y**2. Let u(o) be the third derivative of f(o). Factor u(w).
-3*w**3*(w - 2)*(w - 1)/4
Find s such that -44 + 543*s - 2*s**2 - 988*s + 491*s = 0.
1, 22
Suppose -2*c + 4*h = 3*h - 16, 5*c - 5*h - 30 = 0. Let s be 114/c - (2 + (-35)/25). Find t, given that -6/5*t + 4/5 + s*t**4 + 6/5*t**3 - 58/5*t**2 = 0.
-1, -1/3, 2/9, 1
Let q = 50 - 81. Let y be -3*q/54 - 8/36. Suppose -y*f**3 - 3*f**2 - 3/2*f + 0 = 0. What is f?
-1, 0
Let t(i) = 52*i**3 - 208*i**2 - 104*i + 8. Let u(f) = 17*f**3 - 69*f**2 - 35*f + 3. Let c(k) = -3*t(k) + 8*u(k). Factor c(w).
-4*w*(w - 4)*(5*w + 2)
Let a(o) be the first derivative of 20 - 5/8*o**4 + 5/4*o**2 + 1/10*o**5 - 2*o + 1/2*o**3. Factor a(q).
(q - 4)*(q - 1)**2*(q + 1)/2
Let l(y) be the second derivative of 0 + 1/4*y**4 + 12*y + 3/2*y**2 + y**3. Factor l(i).
3*(i + 1)**2
Let j(g) be the first derivative of -2*g**5/95 - 9*g**4/38 - 20*g**3/19 - 44*g**2/19 - 48*g/19 + 7. Determine h, given that j(h) = 0.
-3, -2
Let z be -5 - 9/6*-2. Let w be 2/z*(1 + -1). Factor 1/4*k**3 + 1/2*k**4 + 1/4*k**5 + 0*k**2 + w*k + 0.
k**3*(k + 1)**2/4
Let f be 1/(-3) - 6/(-18)*7. Factor 3*g**2 - g**2 - 5*g**4 + 2*g**2 - 5*g**3 + 5*g**5 + g**f.
5*g**2*(g - 1)**2*(g + 1)
Let m(u) be the second derivative of -3/4*u**4 + 0 - 22*u - 3/2*u**2 + 2/5*u**6 + 3/5*u**5 - 2*u**3. Factor m(x).
3*(x - 1)*(x + 1)*(2*x + 1)**2
Let p be (3 - 8 - -5)/(2*1). Let f(l) be the third derivative of 4*l**2 + p*l - 1/6*l**4 + 0 - 1/60*l**5 - 2/3*l**3. Factor f(o).
-(o + 2)**2
Let i(k) be the second derivative of k**5/10 + 17*k**4/24 - 4*k**3/3 - 5*k**2/4 - k + 20. Factor i(d).
(d - 1)*(d + 5)*(4*d + 1)/2
Let c be (-623)/(-203) - 6/87. Factor -12/5*t**2 + 3/5*t**3 - 6/5 + c*t.
3*(t - 2)*(t - 1)**2/5
Let p(x) = -2*x**2 + 6. Let r(n) = 2*n**2 + n - 6. Let m = 34 + -39. Let s(c) = m*p(c) - 4*r(c). Factor s(h).
2*(h - 3)*(h + 1)
Let n be 22/209 + (-2)/19. Let m be (-4 - -3)/(1/(-2)). Factor 1/2*y + 1/4*y**3 - 3/4*y**m + n.
y*(y - 2)*(y - 1)/4
Let l(s) = -s**3 + 68*s**2 - 319*s + 22. Let x be l(5). Suppose -2/3*i**3 + 2/3*i + 0 + 0*i**x = 0. What is i?
-1, 0, 1
Let c(j) = 20*j**3 + 187*j**2 + 720*j - 194. Let a(y) = 64*y**3 + 560*y**2 + 2160*y - 583. Let k(b) = 2*a(b) - 7*c(b). Factor k(o).
-3*(o + 8)**2*(4*o - 1)
Let c be (360/(-864))/(5/(-3)). Let u = 3/16 - -3/16. Factor u*f**2 - c*f - 1/8*f**3 + 0.
-f*(f - 2)*(f - 1)/8
Let d(g) be the second derivative of g**5/70 - 3*g**4/14 + 8*g**3/7 - 20*g**2/7 + 189*g. Factor d(q).
2*(q - 5)*(q - 2)**2/7
Determine j so that 10/3 - 5/6*j**2 + 5/2*j = 0.
-1, 4
Let l be (-1)/1*(-4 - 8/(-4)). Let s(i) = 13*i**3 + 5*i**2 - 29*i - 11. Let g(u) = 6*u**3 + 2*u**2 - 14*u - 6. Let x(b) = l*s(b) - 5*g(b). Factor x(v).
-4*(v - 2)*(v + 1)**2
Let x(v) be the first derivative of -3*v**4/8 + 39*v**3 - 1080*v**2 - 4800*v + 146. Factor x(o).
-3*(o - 40)**2*(o + 2)/2
Let h(o) = o**2 + o - 1. Let n(r) = -6*r**3 - 45*r**2 - 65*r + 65. Let c(a) = 2*h(a) + 2*n(a). Determine b so that c(b) = 0.
-4, 2/3
Let d = -5520 + 5523. Factor 3/2*s - 3*s**2 + 3*s**4 + 0*s**d - 3/2*s**5 + 0.
-3*s*(s - 1)**3*(s + 1)/2
Let y(h) be the third derivative of -h**7/840 - 7*h**6/480 + 9*h**5/80 - 29*h**4/96 + 5*h**3/12 - 53*h**2. Solve y(j) = 0.
-10, 1
Suppose -14*n + 28 = -14. Let h(p) be the second derivative of -1/4*p**2 - 1/24*p**n + 0 + 1/48*p**4 - 3*p. Factor h(m).
(m - 2)*(m + 1)/4
Let c(l) be the third derivative of -25*l**8/504 - l**7/63 + 47*l**6/60 - 179*l**5/90 + 20*l**4/9 - 4*l**3/3 - 3*l**2 + 20. Suppose c(a) = 0. Calculate a.
-3, 2/5, 1
Let v(p) be the third derivative of -2*p**8/21 + 8*p**7/21 - 11*p**6/20 + p**5/3 - p**4/12 + 15*p**2 - 4. Factor v(m).
-2*m*(m - 1)**2*(4*m -