*2 - 227*o**2 + 1219 - 423*o = 0.
-146, 5
Let c be (-7)/((32/24)/(-4)). Factor -24*v**2 + 36*v + c*v**2 - 73 + 40.
-3*(v - 11)*(v - 1)
Suppose -2*p = 5*f + 72, -7*p - 24 = 2*f - 5*p. Let o be 10/(-28)*f/10. Factor 0*w**3 + 0*w - 2/7*w**4 + o*w**2 - 2/7.
-2*(w - 1)**2*(w + 1)**2/7
Suppose -34*v + 11*v + 2346 = 0. Factor 30*h**3 - h**3 - 56 - 232*h**2 + v*h + 158*h - h**3.
4*(h - 7)*(h - 1)*(7*h - 2)
What is f in 1/2*f**3 + 0 - 555/2*f - 91*f**2 = 0?
-3, 0, 185
Let g(x) be the first derivative of x**6/8 + 18*x**5 - 549*x**4/8 + 92*x**3 - 369*x**2/8 - 7524. Factor g(l).
3*l*(l - 1)**3*(l + 123)/4
Let o(p) = -4*p**2 + 195*p + 1733 + p + 1486 + 6032 + 76*p. Let u(j) = -2*j**2 + 1. Let r(t) = o(t) - 3*u(t). Factor r(c).
2*(c + 68)**2
Let v(r) be the first derivative of -20*r + 15/2*r**2 + 5/3*r**3 + 20. Factor v(u).
5*(u - 1)*(u + 4)
Let y be (-17 - -19)/((-2)/(-112)). Let p = y + -110. Factor 1/9*c**3 - 4/9*c**p + 5/9*c - 2/9.
(c - 2)*(c - 1)**2/9
Suppose 2*c + 2*c - 4*q = 20, 4*q = 3*c - 18. Factor 0*l - 9*l + 4*l + 10 - 9*l**c - l**2 + 5*l**3.
5*(l - 2)*(l - 1)*(l + 1)
Let a(q) be the first derivative of q**5/10 + 3*q**4/2 + 41*q**3/6 + 15*q**2/2 - 815. Factor a(v).
v*(v + 1)*(v + 5)*(v + 6)/2
Let n(q) = -q**3 - 9*q**2 - 10*q + 4. Let c be n(-8). Let y be (-6)/10 + 412/c. Factor y*r + 4*r**2 - r**2 + 12*r**2 - 5*r**3.
-5*r*(r - 4)*(r + 1)
Factor 4/3*h**3 + 320 + 544/3*h + 92/3*h**2.
4*(h + 4)**2*(h + 15)/3
Let m be ((-4 + 1 - 2) + 2)/(15/(-2)). Suppose 48/5*r + 46/5 + m*r**2 = 0. Calculate r.
-23, -1
Let v(t) be the second derivative of 5*t**4/12 + 395*t**3/2 + 2330*t**2 + 3*t - 913. Factor v(x).
5*(x + 4)*(x + 233)
Suppose -8 + 32*q**2 - 36*q**2 - 69 + 89*q - 499 + 15*q = 0. What is q?
8, 18
Let v be (8/(-28))/(31/(38 + -255)). What is m in 0*m - 2/5*m**4 - 8/5*m**3 - 6/5*m**v + 0 = 0?
-3, -1, 0
Let o(p) = p**3 + 19*p + 10. Let n(j) = 10*j**3 + 174*j + 89. Let r(t) = -2*n(t) + 19*o(t). Factor r(q).
-(q - 4)*(q + 1)*(q + 3)
Let l = 3109/62 + -1539/31. Factor 3/4 - l*y - 1/4*y**2.
-(y - 1)*(y + 3)/4
Let v(h) be the first derivative of h**6/40 - 3*h**5/40 - h**4/8 - 57*h**2 - 188. Let a(j) be the second derivative of v(j). Let a(z) = 0. What is z?
-1/2, 0, 2
Solve 1168/15*b - 2/15*b**3 - 226/15*b**2 - 472/5 = 0.
-118, 2, 3
Let q be (-41)/(-574) - 55362/(-6776). Let v = q + 1/121. Factor -v*o**2 - 3/2*o + 39/4*o**3 + 0.
3*o*(o - 1)*(13*o + 2)/4
Let y = -3166/93 + 16853/465. Determine l so that -2/5*l**4 - 12/5*l**2 + 0 - 9/5*l + y*l**3 = 0.
-1/2, 0, 3
Let o be (2/(-6))/(-3*(-5)/(-15995)). Let v = o + -355. Factor 2/9*i**4 - 4/9*i - 8/9*i**2 + 2/3 + v*i**3.
2*(i - 1)**2*(i + 1)*(i + 3)/9
Let l(g) be the second derivative of 7*g**6/20 - 141*g**5/40 + 7*g**4 + 5*g**3 - 527*g - 2. What is i in l(i) = 0?
-2/7, 0, 2, 5
Determine f so that 8192/15*f**2 + 256/3*f + 10/3 = 0.
-5/64
Let x(f) be the second derivative of 2*f**3 + f**4 - 2/45*f**6 - 1/15*f**5 - 18*f + 0*f**2 - 3. Let x(n) = 0. Calculate n.
-3, -1, 0, 3
Let j(k) = k**3 + 99*k**2 + 1453*k - 405. Let l be j(-81). Suppose m = -2*t + 7, -4*t = m - 7 - 10. Factor 0 + l*s**2 + s**4 - 1/2*s**3 - 1/2*s**t + 0*s.
-s**3*(s - 1)**2/2
Let v(a) be the second derivative of 13*a**4/6 - 30*a**3 - 7*a**2 + 1010*a. Find x, given that v(x) = 0.
-1/13, 7
Let j = -40 + 37. Let n be 7 - (-1 - (j + 1)). Solve 14*k**2 - 12*k**2 - 2*k - n*k = 0.
0, 4
Suppose 3847*x - 519 = -519. Let n be 1/(26/12) - 0. Find p, given that x - 2/13*p**2 + n*p = 0.
0, 3
Let z(x) be the first derivative of x**6/2 + 4494*x**5/5 + 417369*x**4 - 3374984*x**3 + 10161024*x**2 - 13572096*x - 10063. Factor z(f).
3*(f - 2)**3*(f + 752)**2
Let h(o) be the first derivative of 5*o**4/16 - 165*o**3/4 + 1500*o**2 + 3125*o - 56. Factor h(b).
5*(b - 50)**2*(b + 1)/4
Let i(o) be the second derivative of o**6/20 + 21*o**5/40 + 3*o**4/2 - o**3 - 12*o**2 - 2794*o. Factor i(d).
3*(d - 1)*(d + 2)**2*(d + 4)/2
Factor 2/5*z**4 - 438/5*z**3 - 2676/5*z**2 - 5384/5*z - 720.
2*(z - 225)*(z + 2)**3/5
Let s(f) be the first derivative of -f**6/1800 - 13*f**5/600 + 7*f**4/60 - 119*f**3/3 + 150. Let o(a) be the third derivative of s(a). Solve o(i) = 0 for i.
-14, 1
Let n(l) be the first derivative of -3/17*l**2 - 4 - 2/51*l**3 - 4/17*l. Factor n(t).
-2*(t + 1)*(t + 2)/17
Let h(s) be the first derivative of s**7/252 + s**6/90 - s**5/120 - s**4/36 + 164*s + 19. Let q(d) be the first derivative of h(d). Factor q(j).
j**2*(j - 1)*(j + 1)*(j + 2)/6
Let j(v) be the first derivative of -v**5/60 + 3*v**4/16 - 7*v**3/12 + 19*v**2/24 - v/2 - 916. Find l, given that j(l) = 0.
1, 6
Let a(z) be the second derivative of -z**7/105 - z**6/30 + 2*z**5/15 + z**4/6 - z**3 + 37*z**2/2 + 48*z. Let t(s) be the first derivative of a(s). Factor t(o).
-2*(o - 1)**2*(o + 1)*(o + 3)
Find v, given that 3*v**4 - 7*v**5 - 28*v**4 + 4*v**5 + 12*v**4 + 10*v**4 = 0.
-1, 0
Let x be 6/8*7*48/(-84)*-1. Let 3/2*o**2 - 3/8*o**x + 15/8*o + 0 = 0. Calculate o.
-1, 0, 5
Let r(i) be the third derivative of 0*i - 73/150*i**5 + 1/75*i**6 + 0 + 43/30*i**4 - 15*i**2 - 17/15*i**3. Determine s, given that r(s) = 0.
1/4, 1, 17
Let x(d) be the third derivative of -d**7/1260 + d**6/324 + d**5/270 - 61*d**3/6 - 11*d**2 + d. Let r(o) be the first derivative of x(o). Factor r(u).
-2*u*(u - 2)*(3*u + 1)/9
Let o = 176 - 174. Factor 86*u**o - 52*u**4 + 88*u**4 + 6*u + 100*u**3 + 6*u - 8 - 2*u**2.
4*(u + 1)**3*(9*u - 2)
Let n be (-11)/(10/(-3 - 4/(-4))). Let s = n - 23/15. Factor 0*g + 8/3*g**4 + s*g**5 + 10/3*g**3 + 4/3*g**2 + 0.
2*g**2*(g + 1)**2*(g + 2)/3
Let r(f) be the second derivative of f**6/30 + f**5/4 - 11*f**4/12 - 11*f**3/2 - 9*f**2 - 881*f + 3. Factor r(u).
(u - 3)*(u + 1)**2*(u + 6)
What is c in -5/3*c**2 - 1800*c - 5395/3 = 0?
-1079, -1
Let c = -25148 + 25150. Let j(z) be the second derivative of 0*z**c + 9/40*z**5 + 5/8*z**4 + 1/2*z**3 - 23*z + 0. Solve j(w) = 0.
-1, -2/3, 0
Suppose -s = 4*z - 226, -4*s = -z - 3*s + 59. Solve -3*c**3 - 3*c**3 + 3*c**3 - 30 - 23*c**2 + z*c - c**2 = 0.
-10, 1
Let d(a) = -2*a**2 - 4*a. Let y be (-26)/(-8) + (-5)/20. Let h(z) = -6*z + y*z - 9*z + 0*z - 6*z**2. Let k(b) = -7*d(b) + 2*h(b). Factor k(u).
2*u*(u + 2)
Let k be -167*(-2)/10 - (-246)/410. Suppose -k*a + 21*a + 7*a + 3*a**2 = 0. Calculate a.
0, 2
Let v = 760/2457 + 504680/2457. Factor 3072000/7 - 6/7*k**3 + v*k**2 - 115200/7*k.
-6*(k - 80)**3/7
Let q be ((-576)/1296)/(8/3)*18/(-4). Factor 1/2*u + 1/4*u**2 - q.
(u - 1)*(u + 3)/4
Let p(u) = 20*u**3 + 67*u**2 + 3*u - 3. Let g(d) = -20*d**3 - 69*d**2 - 3*d + 4. Let k(t) = -3*g(t) - 4*p(t). Factor k(s).
-s*(s + 3)*(20*s + 1)
Let v = 119423 - 119421. Factor -432 + 48*w - 4/3*w**v.
-4*(w - 18)**2/3
Suppose g - 6 + 2 = 0. Let m be (-43)/(-8) - (-6)/(-16). Factor -g*z**m + 44 - 44 - 8*z**4.
-4*z**4*(z + 2)
Let d(w) = -w**2 - 14*w + 4. Let n be d(0). Determine m so that -60*m**n + 25*m**5 - 233*m**3 - 220*m**3 + 473*m**3 = 0.
0, 2/5, 2
Let g be ((-22)/8 - -5)*4/3. Let -469*p**3 - 462*p**3 + 940*p**3 - 6*p - 24*p**2 - g*p = 0. What is p?
-1/3, 0, 3
Let s be (-5)/10 - (-11)/2. Determine o so that 6*o**2 - s*o**2 - 62*o - 5*o**2 + 36 + 30*o = 0.
-9, 1
Let g be 2 - (-1)/((-1)/(-1)). Suppose -5 - 3 = -7*t + 3*j - 48, 6*j - 110 = -t. Suppose 0*b + 0*b**t + 28/3*b**4 + 0 - 8/3*b**g + 12*b**5 = 0. What is b?
-1, 0, 2/9
Let g(o) = o + 1. Let l(a) = -4*a**2 + 14*a - 14. Suppose 7 + 5 = -6*x. Let n(c) = c. Let r be n(x). Let h(q) = r*g(q) - l(q). Factor h(j).
4*(j - 3)*(j - 1)
Let n be ((-7)/42 - 6/18)*-4. Let q(c) be the second derivative of -4/9*c**3 - 1/90*c**5 + 0 + 5*c - 8/9*c**n - 1/9*c**4. Let q(d) = 0. What is d?
-2
Let o = 484707/4 - 121176. Factor r**4 + 0 + o*r + 4*r**2 + 17/4*r**3.
r*(r + 1)*(r + 3)*(4*r + 1)/4
Let k(d) be the second derivative of -1/50*d**5 + 1/6*d**4 + 0*d**2 - 14 + d + 0*d**3. Determine a so that k(a) = 0.
0, 5
Suppose 0 - 1/3*b**5 + 5/3*b**4 + 95/3*b**2 + 19*b**3 + 44/3*b = 0. Calculate b.
-4, -1, 0, 11
Suppose -1710 + 1112 = -13*m. Let w be m/112 + (-99)/792. Factor -2/7*n + 2/7 + 4/7*n**3 - 2/7*n**5 + w*n**4 - 4/7*n**2.
-2*(n - 1)**3*(n + 1)**2/7
Let w = 63464/11 + -5765. Let a(x) be the first derivative of 1/22*x**4 + 37 + w*x**2 + 0*x + 28/33*x**3. Factor a(i).
2*i*(i + 7)**2/11
Factor 33*j - j**3 + 37*j - 15*j**2 - 52*j + 280 + 96*j.
-(j - 7)*(j + 2)*(j 